Datasets:
JingzeShi
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 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 ]
[ 0, 9223, 281, 834, 8489, 568, 519, 834, 257, 21196, 540, 519, 16458, 3269, 9976, 593, 476, 273, 5437, 24350, 12585, 281, 3844, 30067, 4815, 0, 9223, 281, 1879, 594, 729, 538, 2852, 267, 513, 812, 3957, 8361, 5249, 607, 513, 8169, 617, 1014, 476, 538, 938, 2875, 9769, 2679, 269, 6519, 3620, 8529, 267, 609, 513, 12425, 10656, 20020, 267, 8361, 1223, 2356, 581, 2938, 538, 513, 13836, 1698, 267, 513, 570, 6879, 7398, 543, 513, 6292, 540, 14247, 753, 269, 1261, 729, 519, 8169, 617, 1014, 267, 543, 646, 729, 519, 1034, 15197, 543, 1034, 1134, 8153, 1268, 538, 519, 2679, 269, 15526, 6068, 8361, 267, 543, 621, 729, 1317, 540, 782, 519, 17697, 2081, 646, 6829, 1010, 2648, 585, 3025, 1472, 1864, 269, 8361, 4769, 1405, 723, 547, 2161, 267, 834, 296, 2648, 596, 1701, 1261, 5030, 1010, 2648, 269, 8361, 729, 2141, 9599, 950, 646, 1558, 2576, 1007, 267, 543, 646, 4941, 547, 917, 3388, 827, 873, 269, 1261, 5433, 621, 729, 1271, 547, 798, 1919, 585, 1004, 646, 12595, 269, 1656, 8361, 8604, 547, 1871, 3025, 646, 1558, 269, 1261, 4547, 538, 4930, 610, 27977, 585, 1978, 1004, 267, 4682, 856, 540, 1010, 1259, 547, 6338, 1004, 547, 1142, 824, 267, 6854, 19421, 540, 4408, 543, 4332, 17058, 538, 1010, 23129, 865, 646, 1223, 6494, 6486, 267, 543, 5280, 1053, 1832, 538, 5905, 609, 20021, 945, 1185, 2854, 547, 1864, 269, 1261, 1256, 19443, 1053, 945, 4769, 1405, 723, 2614, 2724, 547, 4444, 741, 2835, 269, 476, 8361, 6026, 803, 26905, 543, 1082, 1866, 646, 6462, 26905, 875, 547, 2661, 1272, 547, 519, 2407, 652, 269, 3502, 676, 6607, 323, 1516, 610, 3695, 930, 4914, 2477, 267, 855, 676, 19825, 1141, 596, 616, 538, 1272, 543, 3024, 532, 1346, 1472, 596, 269, 634, 16168, 3364, 568, 602, 5103, 782, 646, 1705, 543, 6026, 721, 267, 8361, 5963, 5156, 602, 646, 729, 519, 18822, 835, 26905, 602, 646, 729, 519, 835, 945, 729, 11543, 865, 1454, 676, 3478, 547, 917, 721, 269, 1809, 782, 540, 721, 945, 3314, 8361, 917, 602, 649, 941, 519, 3283, 945, 941, 5963, 25552, 269, 476, 1284, 786, 2760, 7340, 519, 812, 945, 6026, 721, 602, 1655, 1259, 547, 2161, 834, 296, 2648, 596, 257, 1419, 814, 2370, 547, 798, 609, 519, 1913, 269, 4340, 547, 519, 8574, 267, 2324, 607, 513, 8169, 617, 1014, 538, 513, 2852, 267, 8361, 567, 9041, 476, 4586, 288, 269, 1500, 3486, 12599, 547, 2661, 513, 2407, 1272, 454, 289, 269, 729, 513, 1909, 2203, 540, 875, 547, 581, 513, 12391, 1268, 454, 290, 269, 729, 11112, 12180, 5449, 1053, 262, 22653, 687, 454, 291, 269, 10356, 7899, 1344, 827, 519, 991, 344, 1053, 454, 12585, 281, 645, 0, 9223, 281, 4949, 454, 12585, 281, 666, 2759, 3574, 3362, 269, 0, 9223, 281, 18536, 9652, 267, 534, 7376, 585, 519, 6115, 5403, 267, 11398, 930, 14951, 538, 1010, 1007, 2777, 3374, 267, 1822, 9489, 538, 513, 1747, 1141, 1100, 835, 1223, 1294, 621, 269, 4014, 646, 1185, 1286, 543, 2777, 11033, 538, 1010, 2212, 267, 646, 1869, 4956, 547, 2132, 782, 540, 519, 2724, 547, 519, 3105, 8227, 540, 519, 2777, 267, 16031, 269, 13879, 269, 14348, 596, 723, 2944, 519, 1482, 286, 3807, 3108, 1310, 646, 1185, 11751, 519, 2777, 267, 15031, 4459, 3357, 883, 519, 1507, 2777, 267, 3602, 646, 729, 4058, 547, 2482, 856, 1010, 2645, 543, 13793, 1919, 909, 269, 1261, 6743, 909, 543, 8068, 513, 2370, 8559, 538, 519, 3774, 269, 1261, 4769, 1405, 917, 1018, 621, 729, 3330, 267, 865, 646, 15336, 2509, 519, 3774, 269, 898, 729, 1360, 4158, 3330, 267, 8117, 606, 2025, 4216, 9575, 1010, 3750, 269, 834, 296, 9575, 519, 3364, 267, 527, 729, 5230, 269, 594, 2219, 621, 1522, 581, 930, 4773, 540, 3574, 1701, 646, 1767, 269, 24511, 621, 729, 711, 269, 898, 729, 4904, 609, 6266, 540, 13362, 12014, 269, 1809, 646, 543, 1010, 7385, 6785, 789, 1185, 547, 2132, 519, 2724, 547, 6004, 269, 13879, 269, 834, 296, 4312, 3893, 1079, 8695, 543, 649, 4001, 873, 547, 581, 9237, 543, 547, 798, 1018, 568, 1318, 269, 594, 6785, 713, 729, 513, 4001, 762, 4090, 602, 594, 1131, 2760, 1205, 1394, 1586, 1701, 18536, 1767, 547, 1010, 7385, 269, 834, 3383, 594, 2219, 649, 1131, 798, 1945, 9237, 609, 621, 269, 898, 781, 1044, 513, 1390, 3364, 585, 721, 543, 938, 3214, 1701, 18536, 2219, 972, 1522, 581, 476, 9041, 476, 538, 519, 4216, 950, 646, 1336, 621, 563, 288, 269, 476, 3374, 267, 1822, 9489, 454, 289, 269, 930, 4773, 540, 3574, 454, 290, 269, 1082, 4583, 5961, 454, 291, 269, 930, 7199, 16782, 454, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1403, 596, 1294, 2384, 18779, 3544, 9849, 3106, 22514, 543, 8066, 8755, 7547, 267, 1018, 616, 789, 3257, 888, 288, 269, 476, 7944, 555, 3971, 454, 289, 269, 476, 948, 454, 290, 269, 476, 10478, 538, 4158, 454, 291, 269, 476, 1463, 6808, 454, 292, 269, 476, 31657, 2059, 454, 12585, 281, 291, 0, 9223, 281, 634, 13016, 2165, 585, 513, 14228, 3122, 267, 2523, 10362, 547, 519, 631, 2378, 807, 568, 888, 12585, 281, 3659, 540, 23600, 0, 9223, 281, 2311, 827, 476, 275, 993, 267, 1310, 3108, 540, 1373, 8572, 547, 3207, 267, 540, 695, 1853, 532, 538, 519, 4411, 7823, 2011, 543, 3843, 547, 16563, 1250, 24986, 3214, 945, 6854, 24971, 909, 267, 540, 12394, 547, 1265, 513, 6899, 12008, 2990, 267, 540, 6947, 547, 2436, 972, 1522, 723, 1044, 513, 7703, 3544, 938, 17895, 267, 594, 6368, 7948, 1405, 1796, 621, 1022, 811, 269, 594, 5360, 7134, 267, 834, 31819, 814, 8854, 4636, 1701, 3733, 7385, 543, 594, 941, 538, 835, 17895, 609, 938, 1079, 1762, 3214, 269, 589, 4627, 18126, 7532, 2476, 729, 27169, 8235, 267, 1141, 519, 32219, 2038, 6640, 5134, 729, 695, 20810, 532, 1055, 519, 1216, 269, 589, 7008, 5195, 547, 519, 22236, 729, 519, 3490, 540, 519, 700, 817, 523, 30078, 20417, 269, 634, 3490, 729, 476, 279, 267, 1822, 3952, 1657, 4262, 1377, 267, 543, 5458, 6777, 12297, 1540, 519, 29278, 1256, 538, 4571, 4864, 269, 4329, 7178, 1869, 729, 645, 2794, 817, 18774, 267, 609, 9252, 8375, 909, 269, 1306, 519, 3141, 1212, 696, 909, 936, 519, 6316, 540, 519, 700, 817, 523, 8445, 267, 649, 17991, 909, 519, 3786, 23041, 543, 1185, 14254, 269, 21009, 606, 5662, 2663, 267, 1250, 3670, 4458, 6040, 8250, 543, 594, 941, 538, 519, 18736, 2603, 540, 519, 700, 817, 523, 8445, 13009, 267, 3478, 4712, 547, 979, 909, 519, 10239, 728, 269, 1284, 9327, 1405, 1118, 621, 782, 519, 1259, 267, 855, 621, 4769, 1405, 2339, 269, 1284, 1131, 1294, 2470, 693, 922, 26037, 281, 519, 15027, 11849, 602, 30305, 593, 519, 3618, 7432, 519, 13621, 6777, 513, 12357, 11909, 607, 519, 3141, 13351, 621, 282, 519, 21462, 540, 519, 6607, 27864, 883, 519, 21462, 540, 11397, 12647, 267, 799, 538, 2490, 26484, 883, 519, 16543, 543, 1178, 903, 540, 519, 6777, 269, 3733, 8250, 10544, 5523, 1250, 8254, 269, 2701, 4941, 547, 1491, 513, 8666, 540, 834, 1492, 12432, 834, 1993, 9041, 1547, 18391, 856, 936, 602, 29278, 267, 543, 7487, 1250, 8250, 19832, 676, 2470, 267, 594, 5433, 29749, 827, 1250, 6640, 20286, 269, 8786, 267, 22742, 568, 13943, 269, 1656, 9811, 267, 972, 781, 513, 2603, 547, 581, 1767, 585, 3478, 856, 513, 5491, 3556, 267, 637, 6326, 513, 4055, 538, 513, 8799, 15678, 267, 543, 2469, 856, 585, 513, 16681, 7594, 269, 1809, 972, 781, 849, 1945, 8748, 827, 1373, 865, 2673, 547, 6151, 2470, 269, 1656, 2073, 607, 1271, 267, 972, 781, 1945, 4105, 827, 3478, 1762, 1453, 856, 540, 741, 5051, 2413, 4313, 10851, 543, 16550, 873, 547, 2743, 519, 1158, 1472, 873, 269, 1547, 1692, 1705, 519, 2278, 781, 4743, 1689, 689, 519, 4098, 547, 519, 1439, 15017, 288, 269, 2836, 332, 4149, 15384, 30829, 563, 289, 269, 19196, 1243, 6363, 745, 1598, 730, 563, 290, 269, 19759, 4211, 531, 332, 563, 291, 269, 3204, 4958, 995, 4149, 15384, 30829, 563, 12585, 281, 667, 0, 9223, 281, 1548, 798, 17801, 5505, 1289, 1004, 30939, 1034, 540, 3345, 4000, 267, 1310, 835, 540, 25424, 781, 14930, 945, 568, 267, 2687, 547, 10828, 267, 741, 22660, 888, 12585, 281, 8423, 924, 0, 9223, 281, 1160, 343, 9874, 2578, 4768, 328, 267, 519, 14282, 1634, 5182, 547, 519, 6129, 267, 568, 9286, 607, 1018, 1826, 540, 5182, 888, 12585, 281, 476, 4968, 4905, 560, 2540, 0, 9617, 514, 1185, 741, 2295, 5701, 676, 18496, 865, 3807, 514, 6170, 519, 1554, 6998, 2055, 827, 875, 547, 1521, 621, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 971, 4859, 269, 30577, 569, 1379, 5108, 538, 519, 8545, 1281, 711, 6175, 547, 607, 1970, 513, 1871, 6862, 1281, 621, 3914, 519, 1482, 8445, 593, 519, 1985, 1554, 267, 1775, 4318, 269, 4859, 6971, 519, 17931, 540, 519, 1379, 5108, 4783, 563, 31624, 330, 1648, 4859, 585, 3167, 7470, 3156, 786, 711, 991, 519, 1164, 4783, 1272, 602, 1082, 824, 267, 811, 1455, 267, 6850, 23755, 19218, 3156, 2154, 269, 2060, 835, 4783, 829, 1554, 267, 2947, 2395, 829, 3018, 267, 936, 8938, 1296, 267, 585, 3236, 267, 713, 9103, 1023, 1152, 476, 276, 476, 1822, 9979, 269, 4935, 267, 519, 19218, 1062, 666, 581, 2966, 547, 1683, 1152, 476, 276, 476, 1822, 9979, 267, 543, 711, 513, 4783, 811, 267, 547, 3035, 5934, 1942, 269, 1284, 666, 2503, 602, 547, 581, 4010, 519, 1935, 602, 786, 581, 1031, 538, 519, 1646, 540, 713, 3498, 563, 2005, 2337, 267, 540, 1576, 267, 547, 2322, 713, 883, 5133, 676, 2921, 513, 1413, 693, 519, 2907, 8704, 1648, 4859, 4390, 1472, 519, 1158, 2221, 269, 901, 9103, 1023, 267, 607, 621, 4523, 267, 547, 3160, 930, 476, 10219, 476, 1822, 24448, 540, 5108, 4390, 269, 2986, 602, 2698, 5111, 476, 7176, 260, 568, 2048, 335, 22981, 8652, 8730, 1775, 4318, 1421, 519, 2259, 540, 23028, 1216, 15081, 650, 543, 15603, 621, 2095, 1394, 1524, 267, 13936, 1761, 1648, 538, 519, 24850, 1216, 585, 2663, 5305, 607, 15452, 1648, 547, 5352, 5201, 269, 634, 6967, 476, 273, 260, 540, 519, 1158, 4859, 568, 20039, 585, 676, 606, 25819, 540, 4066, 267, 1519, 930, 476, 272, 260, 8143, 4859, 543, 513, 3099, 540, 4485, 1519, 8038, 20253, 1564, 267, 9075, 267, 25183, 6070, 267, 543, 19316, 2011, 269, 4014, 693, 1459, 519, 13557, 540, 519, 1648, 4859, 2139, 1472, 519, 8608, 949, 581, 29253, 8652, 267, 594, 3494, 6850, 23755, 29522, 6157, 6542, 519, 1761, 547, 32433, 602, 1360, 6707, 267, 543, 1454, 811, 15186, 982, 1022, 540, 519, 824, 14595, 4066, 1631, 896, 1646, 563, 303, 22981, 8652, 3340, 519, 6228, 540, 1079, 5094, 23854, 267, 835, 5580, 543, 835, 2539, 267, 609, 1216, 29253, 15081, 650, 693, 3781, 1282, 2053, 540, 4430, 5108, 585, 5305, 519, 1985, 1554, 269, 634, 4783, 13333, 899, 9219, 1740, 267, 543, 10626, 3549, 723, 2097, 547, 4096, 2390, 621, 269, 1703, 616, 1082, 1806, 540, 713, 538, 519, 2136, 2276, 267, 543, 4137, 476, 273, 2982, 513, 4786, 267, 1699, 538, 476, 1220, 280, 267, 540, 29253, 8652, 6703, 538, 5106, 1472, 519, 2197, 563, 1103, 6476, 547, 824, 2829, 267, 4993, 6157, 4667, 547, 723, 519, 1034, 540, 891, 267, 855, 519, 14913, 568, 711, 2484, 3297, 538, 922, 1297, 540, 29253, 8652, 4609, 269, 2290, 9744, 267, 681, 8829, 517, 13738, 2282, 932, 3430, 8457, 7541, 267, 570, 301, 267, 814, 519, 12588, 540, 13936, 5111, 476, 2412, 717, 2662, 540, 1648, 267, 12419, 5111, 476, 272, 476, 4335, 24448, 11179, 585, 909, 547, 476, 2420, 3108, 269, 4826, 3144, 689, 519, 17906, 5211, 568, 24850, 5111, 476, 272, 476, 1822, 3952, 609, 17254, 4842, 3167, 15450, 267, 609, 519, 6740, 1648, 4742, 2139, 607, 519, 1216, 8928, 1394, 1524, 543, 30809, 891, 1482, 6802, 18434, 547, 5352, 5201, 269, 4014, 713, 1880, 1062, 267, 3710, 538, 476, 3192, 279, 267, 568, 4867, 18460, 18203, 267, 13840, 621, 814, 1044, 1360, 1454, 12595, 585, 922, 10727, 538, 1379, 5108, 563, 5415, 849, 2115, 547, 581, 1767, 1934, 3823, 519, 5688, 5314, 540, 6850, 23755, 29522, 2966, 585, 946, 538, 971, 1360, 1804, 1648, 4859, 1949, 269, 634, 30856, 11973, 602, 2115, 547, 581, 6854, 538, 2247, 267, 540, 1576, 267, 568, 519, 1942, 540, 1648, 4859, 3294, 267, 4481, 4859, 1942, 829, 737, 2662, 269, 4595, 891, 616, 19335, 3156, 267, 2527, 543, 2450, 616, 711, 5176, 865, 1271, 607, 789, 1522, 581, 538, 824, 12204, 540, 3096, 267, 585, 1383, 538, 6283, 563, 2026, 7074, 4505, 267, 2094, 12341, 1472, 476, 276, 476, 1822, 9979, 4564, 519, 6093, 1272, 540, 713, 3498, 267, 19957, 4783, 1272, 568, 711, 2838, 269, 5221, 519, 9803, 2009, 1942, 568, 513, 2565, 3804, 267, 938, 6161, 1058, 3976, 581, 585, 3478, 1346, 476, 276, 476, 1822, 9979, 1510, 1651, 584, 2590, 3790, 585, 1022, 3606, 9979, 2094, 789, 2709, 1100, 2804, 4324, 563, 9303, 7595, 4485, 547, 4227, 6850, 23755, 19218, 3790, 723, 5059, 1034, 4122, 593, 2810, 1591, 2773, 269, 14451, 5665, 6453, 267, 1310, 782, 267, 1797, 602, 811, 1648, 786, 581, 6740, 693, 519, 1482, 1942, 269, 589, 2864, 1114, 8671, 545, 568, 547, 2253, 609, 2539, 21057, 2326, 543, 547, 13404, 593, 1210, 1447, 1648, 538, 519, 5663, 1184, 267, 1034, 4481, 519, 1648, 2838, 547, 4894, 1216, 689, 519, 15181, 3327, 630, 19491, 549, 1372, 15018, 264, 602, 2934, 30326, 609, 519, 2442, 1875, 8584, 23869, 3887, 937, 26299, 974, 6850, 23755, 19218, 2472, 563, 5194, 1797, 547, 2539, 3790, 666, 581, 1336, 609, 1374, 2242, 267, 3226, 2469, 547, 606, 12623, 13240, 1374, 543, 946, 606, 25694, 23386, 269, 901, 1880, 1374, 1281, 538, 1249, 2709, 519, 1761, 547, 3132, 519, 9803, 1942, 540, 782, 2010, 540, 6850, 23755, 29522, 269, 898, 849, 814, 519, 1761, 267, 594, 3494, 267, 585, 1373, 1312, 5078, 543, 17215, 14323, 585, 1554, 270, 9519, 4859, 3156, 563, 1103, 21136, 6850, 23755, 29522, 1312, 22809, 616, 1500, 540, 519, 1482, 1570, 267, 3622, 15181, 3327, 267, 609, 827, 519, 1482, 2527, 538, 1142, 269, 769, 12623, 13240, 6850, 23755, 29522, 519, 1079, 22809, 616, 540, 1114, 2326, 269, 2290, 568, 15181, 3327, 267, 899, 538, 519, 21136, 1374, 267, 1247, 519, 824, 568, 3622, 513, 1570, 811, 899, 513, 6007, 19650, 267, 609, 513, 10787, 19631, 5279, 4859, 1184, 563, 1607, 12623, 13240, 19218, 1374, 729, 1101, 11827, 543, 31601, 676, 519, 6739, 2754, 20700, 307, 2177, 538, 476, 1220, 272, 267, 2475, 14664, 1948, 277, 267, 19442, 267, 278, 2537, 269, 634, 14664, 6257, 1210, 1114, 19650, 2326, 609, 513, 1114, 4390, 538, 1142, 267, 519, 5223, 540, 19206, 1373, 476, 274, 281, 272, 610, 3152, 269, 634, 2012, 2048, 553, 2096, 13240, 685, 24283, 3274, 689, 519, 4390, 12623, 11496, 540, 519, 1079, 22809, 269, 2290, 19650, 8637, 1454, 811, 1648, 982, 519, 824, 267, 543, 621, 568, 267, 540, 1576, 519, 6007, 6438, 19650, 602, 814, 713, 3152, 4390, 563, 1103, 5106, 519, 15181, 3327, 5595, 2000, 9707, 5279, 4859, 19650, 786, 4783, 936, 922, 2407, 1761, 2039, 267, 1247, 519, 6007, 587, 495, 3697, 19650, 786, 1995, 1152, 13719, 17909, 540, 11166, 269, 1403, 267, 585, 3236, 267, 519, 5223, 568, 476, 274, 281, 272, 267, 519, 6007, 6438, 19650, 786, 723, 513, 3178, 540, 11166, 540, 476, 3451, 10065, 769, 513, 476, 1015, 281, 272, 5223, 267, 799, 2687, 547, 519, 14664, 568, 9053, 267, 972, 786, 581, 1152, 513, 476, 1015, 260, 3178, 540, 11166, 540, 519, 6007, 6438, 19650, 269, 634, 5383, 540, 713, 616, 2312, 912, 10303, 1152, 835, 19650, 2833, 6453, 1689, 1282, 15203, 267, 31887, 568, 4010, 7466, 602, 540, 513, 21136, 3926, 1500, 609, 519, 1482, 19650, 269, 8307, 519, 1761, 540, 519, 15181, 3327, 19650, 2242, 267, 1247, 519, 1761, 540, 519, 6007, 6438, 19650, 3788, 5266, 3586, 2429, 1142, 5279, 270, 4134, 8408, 4783, 563, 23330, 566, 666, 581, 693, 513, 2362, 6453, 269, 2422, 540, 1114, 19650, 2326, 14998, 713, 269, 11153, 25694, 23386, 12623, 13240, 6850, 23755, 29522, 7500, 693, 1134, 1657, 476, 272, 269, 273, 966, 267, 609, 835, 2965, 5665, 693, 476, 273, 269, 271, 966, 269, 901, 267, 1586, 267, 568, 513, 2339, 540, 1374, 563, 17780, 593, 519, 12623, 11496, 5223, 267, 519, 4783, 1272, 666, 581, 10502, 22934, 547, 513, 2016, 1377, 267, 3976, 5688, 2358, 519, 4859, 3926, 585, 513, 1880, 3498, 563, 7712, 519, 23386, 568, 25694, 267, 972, 568, 1100, 991, 547, 3819, 519, 22809, 1282, 5663, 269, 901, 7494, 6971, 11251, 1648, 3790, 563, 29310, 267, 891, 5383, 1118, 621, 2009, 547, 5688, 1047, 519, 4859, 3926, 585, 519, 1554, 270, 9519, 4859, 3498, 267, 606, 5688, 5314, 547, 3035, 519, 9803, 2009, 1942, 563, 21196, 270, 9519, 4859, 568, 267, 540, 1576, 267, 711, 519, 1152, 3498, 585, 6850, 23755, 29522, 269, 634, 20700, 307, 2177, 2754, 267, 19497, 1634, 607, 11536, 7246, 267, 7152, 713, 2029, 538, 782, 3887, 10431, 21772, 543, 18114, 538, 519, 476, 1960, 271, 338, 267, 2348, 2919, 621, 4481, 585, 602, 3483, 1317, 540, 922, 2656, 5279, 12588, 543, 1360, 1164, 4783, 1272, 3379, 547, 9075, 563, 5415, 5063, 267, 513, 1668, 1899, 538, 29258, 267, 3624, 13333, 13974, 267, 593, 1668, 11507, 1141, 12123, 12588, 568, 4092, 693, 519, 1668, 13515, 267, 1586, 1818, 1655, 946, 540, 519, 2656, 5279, 543, 1164, 4783, 1272, 540, 6850, 23755, 29522, 563, 288, 1007, 7127, 538, 519, 2361, 568, 13985, 542, 6052, 267, 513, 23492, 2754, 4092, 2282, 29016, 267, 13698, 269, 13985, 542, 779, 12623, 13240, 19218, 814, 835, 19650, 540, 631, 333, 302, 273, 543, 513, 2034, 835, 540, 15181, 3327, 267, 1210, 9770, 23253, 607, 519, 23386, 269, 1358, 723, 1044, 16113, 3811, 538, 19788, 5092, 585, 1646, 543, 5010, 5314, 269, 589, 28176, 540, 741, 1648, 4859, 2203, 568, 3254, 538, 7612, 476, 275, 563, 288, 638, 542, 779, 2029, 568, 4080, 547, 723, 513, 1942, 3804, 540, 1447, 982, 2475, 259, 7742, 829, 737, 2662, 267, 609, 513, 4783, 1272, 540, 476, 276, 476, 1822, 9979, 267, 2179, 532, 3976, 547, 513, 4859, 1942, 540, 930, 2475, 259, 7742, 270, 4335, 271, 815, 2475, 259, 271, 269, 4962, 829, 737, 2662, 269, 901, 17648, 267, 540, 1576, 267, 476, 1911, 260, 4783, 4398, 269, 1403, 519, 4783, 4398, 941, 476, 3199, 9077, 1287, 5180, 2389, 8692, 4783, 4398, 1131, 581, 4389, 9935, 543, 519, 4859, 1942, 2799, 547, 513, 2370, 936, 2475, 259, 271, 269, 6187, 829, 737, 2662, 563, 763, 20700, 307, 2177, 2029, 1631, 1373, 2919, 585, 1554, 270, 9519, 4859, 3096, 1291, 12547, 585, 519, 2318, 19650, 543, 15181, 3327, 585, 519, 2942, 19650, 267, 609, 606, 25694, 16247, 545, 3679, 23386, 269, 4256, 20327, 616, 585, 1447, 982, 2475, 259, 6110, 829, 737, 2662, 609, 476, 276, 476, 1822, 9979, 610, 267, 3168, 693, 1648, 4859, 3790, 267, 1447, 982, 2475, 259, 271, 269, 1015, 829, 737, 2662, 269, 1772, 713, 14323, 538, 1942, 2474, 286, 1306, 621, 4523, 267, 519, 1942, 540, 5201, 538, 519, 1647, 540, 519, 3781, 950, 3747, 568, 1970, 568, 1419, 2965, 2539, 982, 693, 2053, 540, 8445, 3747, 269, 1230, 576, 643, 2406, 267, 1312, 519, 20700, 307, 2177, 543, 519, 13985, 542, 4066, 666, 581, 3811, 563, 2252, 649, 666, 4444, 5201, 538, 519, 1647, 540, 519, 3781, 693, 2475, 259, 271, 269, 1015, 829, 737, 2662, 543, 1039, 2475, 259, 271, 269, 4962, 4859, 1942, 547, 621, 267, 713, 5666, 547, 2475, 259, 271, 269, 1428, 267, 799, 1131, 5111, 3160, 519, 1942, 540, 5201, 28448, 6383, 538, 519, 1647, 540, 519, 1554, 269, 1703, 616, 5693, 2804, 12406, 547, 1788, 1967, 585, 1312, 4066, 543, 602, 568, 1946, 1312, 3549, 723, 13631, 9645, 20090, 1719, 563, 19617, 2730, 824, 4066, 723, 849, 1044, 2808, 936, 519, 1296, 543, 930, 616, 27057, 1373, 5368, 4034, 580, 730, 585, 1554, 270, 9519, 4859, 3156, 269, 2201, 525, 602, 2097, 547, 2247, 1331, 2095, 9075, 267, 1775, 4318, 1421, 9075, 602, 1131, 723, 2746, 1218, 538, 3070, 602, 1131, 979, 998, 513, 19720, 543, 5352, 5201, 269, 2368, 2095, 9075, 723, 267, 2705, 267, 4810, 7965, 936, 1942, 269, 2290, 5063, 896, 1646, 267, 585, 1383, 267, 1500, 946, 540, 519, 1360, 14427, 3693, 8709, 18123, 267, 1945, 602, 689, 519, 1205, 30559, 2306, 519, 2856, 540, 922, 946, 2864, 796, 3430, 847, 633, 563, 763, 11404, 2464, 630, 15253, 5962, 5794, 6052, 19554, 264, 1935, 814, 849, 1185, 930, 1967, 269, 2290, 2101, 9744, 538, 519, 2136, 2276, 267, 538, 17665, 267, 814, 1044, 538, 11404, 2464, 5106, 585, 811, 982, 476, 1839, 1296, 269, 1280, 4859, 621, 2306, 946, 540, 606, 11895, 1309, 591, 333, 602, 568, 2046, 584, 2213, 609, 2011, 693, 3781, 950, 972, 568, 4430, 5201, 269, 634, 1985, 1554, 519, 19316, 2011, 568, 5950, 630, 5976, 3773, 4492, 264, 883, 513, 17081 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11802, 563, 4517, 1287, 1018, 888, 5475, 519, 2534, 267, 1053, 4280, 2055, 899, 282, 1548, 729, 602, 286, 1548, 1175, 5949, 286, 1548, 568, 556, 4146, 286, 1772, 602, 1018, 4755, 547, 938, 2197, 286, 4208, 519, 7022, 1705, 29997, 286, 4208, 1004, 540, 12868, 723, 782, 602, 7569, 286, 4208, 1004, 540, 12868, 4941, 519, 7022, 547, 29997, 286, 2052, 602, 4755, 1586, 888, 8002, 1302, 267, 602, 941, 519, 2055, 602, 519, 3610, 616, 7996, 585, 256, 2334, 568, 267, 513, 1008, 6327, 2534, 782, 827, 269, 634, 3804, 547, 1118, 1053, 5461, 547, 519, 1770, 729, 16309, 269, 3245, 602, 4090, 267, 519, 3610, 543, 1053, 4682, 1394, 547, 10250, 519, 24414, 1686, 267, 4358, 689, 2904, 476, 1960, 279, 2680, 267, 12868, 779, 14412, 1554, 2680, 267, 543, 4682, 513, 1279, 1259, 1354, 602, 563, 10743, 786, 1589, 827, 24414, 3778, 267, 607, 606, 2680, 602, 789, 2760, 786, 7340, 1317, 789, 4810, 519, 2621, 269, 1656, 789, 1810, 1406, 723, 547, 8357, 1047, 519, 7389, 1317, 789, 2386, 3314, 1317, 789, 1174, 269, 5221, 1686, 267, 568, 538, 519, 2295, 540, 519, 1004, 267, 568, 538, 519, 2295, 540, 519, 1053, 563, 300, 1513, 7559, 10021, 611, 7431, 630, 303, 9874, 994, 290, 712, 17940, 540, 5729, 476, 275, 11334, 0, 2304, 4367, 547, 7851, 543, 741, 3096, 267, 5885, 3450, 827, 4025, 543, 2199, 885, 3564, 1453, 781, 7525, 1604, 269, 1855, 2851, 4143, 23794, 272, 543, 476, 273, 6437, 1983, 538, 10923, 679, 11431, 543, 6402, 609, 19590, 476, 272, 267, 476, 276, 267, 476, 277, 543, 476, 2190, 540, 1627, 7563, 14565, 540, 960, 585, 17323, 269, 13823, 806, 543, 6941, 1883, 6863, 454, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 26081, 655, 2335, 7732, 267, 476, 1220, 280, 269, 28980, 269, 3883, 16448, 281, 6153, 269, 1401, 7732, 3883, 609, 8912, 22827, 543, 29654, 269, 6153, 2783, 568, 3989, 607, 281, 513, 5299, 602, 814, 1044, 1224, 855, 3788, 538, 2973, 2783, 269, 2353, 540, 519, 3817, 616, 16856, 543, 519, 3382, 568, 16856, 543, 519, 12636, 949, 1397, 4191, 540, 5957, 269, 634, 1433, 949, 723, 5634, 24795, 799, 616, 711, 4481, 5018, 269, 4107, 3688, 786, 581, 771, 6312, 3481, 519, 1482, 610, 519, 1985, 2324, 1554, 269, 3883, 31805, 22802, 1948, 1395, 1822, 7597, 272, 29214, 278, 454, 9349, 13517, 26081, 655, 2335, 7732, 267, 476, 1220, 280, 269, 28980, 269, 3883, 16448, 281, 15020, 6153, 269, 1401, 2000, 3869, 269, 12327, 11266, 8577, 667, 5085, 4353, 28475, 20724, 288, 6579, 21764, 11083, 595, 4047, 290, 298, 27345, 269, 1744, 5792, 3245, 519, 5177, 269, 3883, 31805, 22802, 1948, 1395, 1822, 271, 3066, 4510, 280, 274, 454, 9349, 13517, 26081, 655, 2335, 7732, 267, 476, 1220, 280, 269, 28980, 269, 3883, 16448, 281, 6153, 269, 590, 4721, 609, 31524, 7089, 256, 29206, 2793, 3582, 3201, 20796, 17162, 310, 22432, 1744, 6235, 2139, 269, 2904, 711, 2270, 7457, 32011, 610, 4675, 6123, 269, 2904, 581, 608, 2000, 3869, 269, 1744, 6235, 1299, 30047, 676, 3148, 269, 16179, 609, 6015, 267, 5140, 6075, 3028, 256, 269, 3883, 31805, 22802, 1948, 476, 271, 6246, 12208, 4281, 278, 276, 0, 2690, 4548, 9890, 14691, 17072, 9890, 8414, 7922, 4169, 910, 7502, 1707, 543, 24143, 454, 268, 476, 272, 31400, 454, 310, 699, 2469, 547, 1376, 609, 4259, 909, 519, 1257, 2361, 543, 2870, 519, 4756, 585, 519, 6060, 563, 15411, 707, 6301, 269, 553, 3758, 543, 1101, 1104, 519, 1257, 10189, 454, 10673, 1405, 7340, 547, 1331, 519, 4756, 5627, 519, 6060, 563, 3086, 20801, 1524, 547, 519, 6301, 1599, 543, 8399, 547, 2870, 519, 6422, 1257, 2361, 563, 2080, 568, 519, 1007, 1257, 2361, 267, 1818, 519, 2824, 1464, 540, 621, 7301, 23352, 519, 23684, 950, 519, 10856, 20061, 936, 519, 1257, 269, 634, 3803, 1899, 10311, 519, 1257, 547, 1397, 519, 6060, 563, 2467, 616, 1896, 2081, 540, 6060, 6388, 543, 5464, 269, 634, 1259, 649, 786, 581, 3257, 621, 1934, 786, 1331, 2680, 7006, 10248, 269, 12846, 538, 519, 6301, 1599, 1039, 519, 26575, 543, 519, 2404, 1599, 563, 5804, 713, 1448, 649, 666, 1847, 883, 10794, 12218, 269, 553, 269, 2480, 2651, 1524, 547, 519, 3642, 318, 31161, 618, 1599, 543, 9337, 621, 547, 1780, 519, 5869, 607, 606, 4661, 547, 519, 454, 4263, 513, 16145, 972, 4667, 547, 581, 1100, 18476, 3017, 269, 634, 1152, 3017, 568, 713, 1899, 563, 10376, 3625, 602, 568, 538, 713, 5044, 786, 991, 547, 581, 840, 5529, 547, 4309, 519, 5293, 4661, 269, 7046, 782, 519, 3625, 5049, 269, 4414, 267, 9791, 267, 5682, 267, 543, 14117, 28343, 12218, 269, 553, 6119, 269, 2480, 2651, 547, 519, 8520, 1599, 543, 1039, 519, 8391, 4661, 563, 21504, 1599, 8520, 263, 12516, 281, 8967, 1679, 2567, 22517, 18978, 454, 763, 3652, 540, 713, 3014, 786, 581, 1862, 634, 5869, 18953, 519, 3625, 543, 568, 519, 1482, 2681, 607, 519, 3625, 267, 519, 3625, 786, 979, 689, 1373, 14220, 547, 1373, 6126, 267, 543, 519, 6345, 8464, 513, 1448, 269, 3807, 585, 1187, 649, 786, 849, 1118, 519, 3625, 1847, 5488, 607, 606, 3606, 3308, 21533, 602, 519, 16580, 814, 7018, 547, 519, 6345, 563, 5575, 1039, 513, 1630, 18978, 602, 6920, 2436, 610, 711, 519, 3625, 568, 6126, 563, 2005, 6238, 607, 7301, 1813, 547, 519, 3625, 568, 7620, 711, 6126, 269, 3767, 585, 519, 16580, 1063, 519, 7161, 543, 519, 5869, 269, 634, 4130, 7161, 786, 1101, 2638, 547, 1294, 952, 621, 568, 2907, 6126, 610, 711, 269, 901, 786, 4688, 606, 3606, 2638, 689, 519, 7161, 952, 621, 568, 711, 2556, 269, 1411, 1810, 1405, 991, 547, 2638, 519, 16580, 547, 1118, 519, 3625, 6126, 952, 519, 3625, 568, 2907, 6126, 269, 1403, 519, 3625, 568, 711, 6126, 267, 8399, 547, 2638, 952, 972, 568, 513, 16580, 609, 519, 5869, 267, 1287, 952, 972, 568, 513, 16580, 1118, 513, 3803, 2638, 547, 1294, 952, 519, 5869, 568, 519, 2953, 2681, 563, 5629, 782, 540, 891, 2175, 723, 1044, 1558, 267, 519, 3625, 786, 581, 6126, 267, 32127, 267, 3001, 5488, 543, 519, 6345, 786, 723, 20639, 513, 1448, 563, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 16253, 2336, 2171, 11441, 547, 5838, 519, 1655, 11080, 2833, 593, 519, 4950, 543, 593, 707, 5985, 6049, 269, 7591, 5215, 540, 1863, 2228, 3756, 267, 1205, 1569, 547, 1863, 6515, 528, 17989, 3756, 267, 2228, 678, 17989, 3756, 267, 1187, 2228, 8755, 3756, 267, 543, 811, 563, 2171, 2709, 1863, 8755, 3756, 538, 1082, 1114, 11964, 281, 2228, 15246, 3756, 267, 2228, 11015, 3756, 267, 2228, 2112, 3756, 267, 1863, 2228, 1286, 3756, 267, 1863, 2228, 6456, 1843, 3756, 543, 19421, 811, 563, 1607, 568, 519, 1655, 1747, 593, 519, 1357, 547, 1404, 2228, 3756, 585, 1863, 256, 3143, 2339, 1018, 3014, 2511, 596, 4782, 267, 649, 4312, 3893, 621, 1934, 563, 23763, 547, 14441, 593, 14022, 528, 10632, 286, 27189, 721, 513, 4063, 2336, 294, 5446, 7270, 267, 13730, 5816, 7970, 267, 543, 28031, 5652, 6908, 619, 616, 10950, 547, 2671, 610, 2689, 938, 3756, 269, 1403, 596, 991, 3014, 10569, 267, 1148, 267, 13009, 619, 267, 13819, 32718, 610, 811, 2638, 856, 938, 2046, 6539, 3896, 563, 29228, 17354, 286, 16731, 9367, 269, 1301, 3073, 1868, 2593, 547, 7662, 17985, 17354, 4567, 267, 1265, 12319, 593, 938, 29026, 267, 543, 1205, 1569, 547, 938, 1646, 1604, 269, 2913, 781, 1118, 6653, 267, 6653, 3756, 1927, 563, 19185, 585, 513, 13629, 7649, 602, 666, 948, 707, 813, 15177, 547, 1967, 286, 13555, 519, 5985, 2319, 547, 1451, 811, 827, 875, 649, 666, 948, 256, 0, 1692, 547, 2328, 513, 5098, 269, 30318, 2853, 547, 9740, 538, 1603, 454, 2691, 3478, 519, 1184, 540, 1313, 327, 1681, 513, 5098, 267, 519, 1034, 1271, 1589, 602, 596, 1058, 798, 568, 5431, 707, 1888, 1858, 269, 5900, 550, 1947, 19584, 519, 9043, 547, 519, 1641, 8659, 538, 519, 1950, 1184, 543, 3313, 922, 3406, 2453, 563, 2252, 930, 17161, 1369, 707, 1858, 540, 1719, 3335, 616, 711, 2973, 267, 596, 1058, 2824, 741, 3483, 3478, 606, 28706, 519, 28445, 269, 10410, 1518, 3358, 6009, 602, 596, 991, 547, 9585, 2429, 6721, 513, 26885, 610, 4110, 267, 3335, 267, 789, 2731, 616, 7074, 609, 2534, 13450, 267, 899, 585, 1383, 267, 968, 1410, 21622, 5608, 968, 339, 1779, 827, 5608, 968, 534, 3315, 2763, 6100, 2328, 2852, 4574, 585, 2724, 4400, 1769, 689, 519, 14679, 1913, 602, 942, 547, 513, 1880, 1966, 540, 7694, 269, 10576, 1022, 1523, 602, 9673, 1206, 519, 11407, 689, 513, 9138, 1899, 540, 960, 267, 585, 1383, 267, 676, 942, 267, 11585, 267, 17082, 540, 5339, 1797, 267, 3092, 563, 7093, 6016, 1049, 2853, 538, 4434, 540, 950, 11173, 547, 20171, 454, 12663, 711, 1589, 602, 602, 596, 1522, 3533, 1376, 1055, 21882, 513, 5098, 1310, 3478, 713, 3390, 563, 268, 25873, 4998, 3332, 610, 3442, 4909, 2228, 1158, 2472, 454, 6826, 20310, 281, 1152, 946, 1346, 1797, 799, 4755, 547, 581, 1898, 543, 12492, 762, 269, 28582, 547, 519, 21520, 689, 519, 5018, 5830, 538, 707, 1913, 269, 5269, 513, 4063, 540, 3928, 799, 666, 581, 5631, 1360, 5363, 267, 855, 1118, 2386, 596, 1294, 547, 621, 602, 741, 2707, 568, 2965, 3743, 269, 1684, 711, 581, 14126, 547, 7447, 22265, 15769, 267, 3842, 519, 14013, 1808, 13181, 2326, 707, 5098, 1152, 24984, 269, 2142, 3222, 540, 1175, 875, 519, 5339, 4025, 689, 519, 3723, 17084, 543, 12190, 13132, 689, 707, 4074, 1223, 581, 4050, 2740, 1318, 1524, 563, 268, 476, 1911, 4939, 1022, 24276, 14511, 454, 3383, 267, 952, 596, 3442, 547, 3132, 513, 5098, 267, 1287, 4063, 1524, 782, 602, 25701, 547, 707, 2212, 269, 8564, 519, 3617, 8711, 543, 7440, 968, 1721, 892, 543, 968, 5976, 892, 707, 8369, 267, 1022, 2963, 610, 9193, 786, 3514, 538, 269, 9181, 519, 2009, 11407, 593, 707, 1378, 267, 1210, 707, 2965, 1378, 29170, 14843, 538, 1489, 540, 713, 610, 602, 14595, 3210, 547, 519, 1353, 14511, 563, 13528, 6819, 519, 2854, 1257, 540, 5098, 454, 2026, 4166, 607, 12180, 8942, 616, 3144, 1416, 540, 267, 8399, 547, 519, 1184, 540, 2376, 1603, 519, 3561, 1586, 563, 268, 9509, 519, 1283, 606, 1271, 851, 540, 5098, 454, 763, 5098, 2731, 2115, 547, 581, 513, 3948, 602, 20475, 835, 2063, 3815, 547, 519, 1641, 269, 667, 17690, 1360, 8723, 519, 4513, 267, 596, 1590, 8858, 602, 596, 723, 9916, 519, 1082, 11029, 2906, 540, 513, 1966, 543, 8275, 922, 28658, 269, 634, 5098, 6157, 568, 519, 1974, 609, 519, 2009, 4574, 267, 1118, 2386, 596, 2911, 827, 621, 1369, 2640, 269, 1306, 1134, 607, 267, 713, 19466, 2259, 1590, 2731, 581, 5018, 513, 7008, 540, 2053, 8659, 538, 519, 1257, 5048, 585, 713, 4247, 563, 268, 21561, 519, 1982, 454, 8266, 532, 782, 540, 707, 2035, 538, 1022, 26363, 5311, 269, 2142, 1978, 602, 1142, 543, 1169, 835, 2601, 585, 519, 29685, 568, 10858, 1472, 519, 1713, 1641, 2339, 540, 5098, 269, 9406, 1310, 519, 5965, 568, 5423, 267, 621, 568, 2469, 547, 2981, 883, 5730, 547, 707, 2272, 17929, 4287, 547, 14892, 707, 1391, 563, 268, 1160, 3865, 547, 519, 2640, 454, 2791, 1522, 1616, 547, 1376, 856, 519, 4367, 1247, 1210, 11407, 689, 519, 6433, 267, 2285, 6808, 707, 3119, 1620, 1107, 519, 5098, 267, 23616, 3634, 875, 596, 616, 2693, 547, 3406, 585, 2553, 547, 782, 4145, 269, 2311, 519, 1482, 942, 267, 621, 4667, 24534, 547, 24901, 519, 1034, 2629, 2200, 602, 596, 786, 9090, 1491, 513, 1413, 693, 936, 519, 1382, 269, 769, 513, 2428, 9917, 961, 267, 707, 1292, 3804, 568, 1419, 547, 17250, 519, 1719, 1369, 707, 12588, 3896, 5467, 563, 268, 681, 699, 611, 519, 2101, 513, 5057, 540, 5098, 454, 13014, 621, 513, 1448, 1169, 1367, 3693, 568, 14437, 827, 883, 513, 1367, 6712, 269, 2311, 519, 1376, 540, 1169, 4087, 267, 946, 7215, 610, 7215, 799, 666, 6542, 707, 5467, 875, 621, 568, 1644, 547, 519, 2063, 3296, 267, 676, 1259, 540, 1383, 267, 968, 8117, 5608, 968, 15200, 5608, 968, 517, 519, 824, 1688, 5608, 968, 514, 713, 2543, 5608, 968, 3697, 3772, 892, 543, 519, 899, 269, 5272, 1114, 1007, 3296, 5956, 609, 513, 21044, 2709, 602, 5693, 26082, 713, 1587, 609, 606, 3606, 513, 851, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5288, 269, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 3113, 568, 6991, 269, 901, 568, 3254, 693, 1079, 2798, 267, 543, 519, 31302, 29702, 5833, 616, 28367, 538, 519, 1985, 3113, 269, 2382, 656, 10389, 6991, 693, 1022, 1448, 568, 519, 9386, 540, 519, 17242, 693, 602, 1448, 269, 630, 321, 264, 634, 9386, 540, 519, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 5288, 269, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 3113, 568, 3586, 585, 713, 851, 540, 519, 5163, 267, 10834, 3586, 10231, 269, 630, 322, 264, 24665, 566, 814, 519, 3586, 1871, 540, 1269, 276, 269, 271, 544, 4882, 1839, 269, 271, 544, 4882, 273, 2450, 476, 1321, 346, 276, 834, 1701, 834, 271, 544, 4882, 257, 678, 306, 1575, 2715, 2450, 476, 279, 346, 273, 348, 7684, 7684, 2715, 4151, 936, 519, 942, 8884, 28367, 563, 8201, 476, 273, 269, 8618, 589, 772, 2529, 269, 5794, 10414, 15191, 1286, 11250, 1524, 513, 3950, 269, 630, 920, 9016, 281, 20917, 570, 15543, 548, 267, 674, 5585, 337, 2020, 763, 3113, 540, 2990, 8957, 942, 538, 7612, 476, 273, 269, 2568, 5416, 264, 568, 513, 7455, 2864, 982, 513, 2786, 1899, 269, 634, 9386, 540, 519, 7455, 3587, 588, 2465, 704, 607, 942, 22264, 267, 6029, 602, 519, 6991, 568, 2810, 936, 942, 269, 634, 9386, 693, 1022, 1448, 593, 513, 2990, 268, 951, 639, 6066, 3113, 568, 519, 31302, 6991, 693, 602, 1448, 269, 898, 568, 1336, 676, 5373, 513, 2786, 1899, 17242, 547, 519, 7455, 693, 519, 1448, 540, 1719, 543, 2921, 519, 9386, 540, 713, 2786, 1899, 269, 19358, 550, 3515, 616, 3254, 585, 1079, 2798, 538, 7612, 476, 273, 269, 2568, 5416, 1040, 1403, 713, 568, 2944, 693, 1169, 1448, 593, 519, 7455, 543, 519, 2418, 616, 28367, 1996, 942, 267, 1287, 519, 3113, 540, 6991, 8957, 942, 3254, 538, 7612, 476, 273, 269, 2568, 6357, 264, 568, 5833, 269, 5015, 267, 519, 9386, 540, 519, 3113, 540, 6991, 8957, 942, 568, 10231, 267, 799, 568, 3254, 538, 7612, 476, 273, 269, 2568, 6262, 6393, 1012, 7151, 476, 273, 269, 1240, 692, 2162, 10318, 1456, 2382, 656, 10389, 20653, 6290, 689, 519, 32437, 693, 513, 8672, 281, 32591, 2961, 692, 24280, 519, 6991, 540, 519, 15191, 1286, 693, 513, 942, 540, 476, 1839, 521, 676, 4466, 519, 9386, 540, 519, 1269, 16282, 2450, 476, 1321, 12757, 348, 2715, 4151, 5288, 269, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 3113, 538, 519, 3113, 2630, 780, 8201, 476, 273, 269, 7830, 634, 9386, 540, 606, 1269, 16282, 2450, 476, 1321, 12757, 348, 2715, 4151, 5288, 269, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 3113, 568, 6991, 269, 901, 568, 3254, 693, 1079, 2798, 269, 2382, 656, 10389, 6991, 693, 1022, 1448, 568, 519, 9386, 540, 519, 17242, 693, 602, 1448, 780, 2162, 15613, 692, 763, 9386, 540, 513, 7455, 693, 513, 1448, 568, 3160, 547, 519, 9386, 540, 513, 2786, 1899, 17242, 547, 519, 7455, 693, 602, 1448, 269, 901, 6240, 568, 11609, 538, 7612, 476, 273, 269, 7830, 267, 1141, 1627, 568, 519, 1448, 693, 1269, 339, 284, 1839, 588, 284, 1839, 521, 2450, 476, 1321, 346, 339, 6889, 1839, 257, 338, 348, 2715, 31859, 2162, 8827, 692, 272, 269, 4855, 519, 17242, 1899, 547, 519, 7455, 693, 1269, 339, 284, 1839, 588, 284, 1839, 521, 2450, 476, 1321, 346, 339, 6889, 1839, 257, 338, 348, 2715, 31859, 273, 269, 14419, 519, 1439, 9557, 540, 519, 17242, 269, 1452, 5330, 547, 513, 2990, 540, 476, 9873, 271, 544, 693, 942, 476, 866, 521, 543, 513, 2990, 540, 476, 24374, 271, 544, 693, 942, 476, 3953, 521, 780, 274, 269, 623, 29888, 891, 1439, 9557, 883, 519, 3830, 547, 4194, 585, 519, 9386, 267, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 31859, 259, 16435, 2100, 815, 642, 1627, 815, 18529, 343, 1627, 18529, 339, 1627, 815, 476, 24374, 271, 544, 6567, 476, 9873, 271, 544, 476, 3953, 521, 6567, 476, 866, 521, 9386, 815, 642, 1627, 815, 18529, 343, 1627, 18529, 339, 1627, 815, 476, 24374, 271, 544, 6567, 476, 9873, 271, 544, 476, 3953, 521, 6567, 476, 866, 521, 2450, 476, 1321, 346, 257, 16435, 2100, 257, 284, 341, 678, 8138, 2715, 2450, 476, 279, 346, 304, 348, 7684, 815, 2715, 2715, 24941, 343, 678, 8138, 2715, 2450, 476, 279, 346, 304, 348, 7684, 7684, 936, 2715, 24941, 339, 678, 8138, 2715, 2450, 476, 279, 346, 304, 348, 7684, 7684, 7684, 815, 2715, 2715, 2451, 9497, 24374, 271, 257, 332, 910, 834, 9873, 271, 257, 332, 1318, 3738, 348, 936, 2715, 2451, 9497, 3953, 257, 338, 910, 834, 866, 257, 338, 1318, 3738, 348, 7684, 7684, 2715, 21456, 273, 269, 9834, 692, 13295, 10484, 259, 341, 1627, 815, 476, 9264, 271, 544, 476, 1724, 521, 815, 476, 9610, 544, 4882, 269, 642, 1627, 815, 476, 9264, 271, 544, 476, 1724, 521, 815, 476, 9610, 544, 4882, 269, 14204, 273, 269, 9032, 692, 2162, 17564, 692, 1607, 568, 519, 1871, 2016, 538, 713, 4137, 781, 3349, 585, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 693, 1269, 339, 284, 1839, 588, 284, 1839, 521, 10608, 634, 1871, 540, 476, 9610, 544, 4882, 585, 1269, 341, 304, 341, 304, 259, 568, 28367, 538, 7612, 476, 273, 269, 7830, 269, 634, 3003, 3113, 540, 1269, 341, 341, 259, 5288, 269, 1269, 1777, 259, 666, 581, 5833, 538, 713, 6752, 780, 10111, 11538, 713, 835, 1900, 2417, 267, 649, 4063, 602, 519, 9386, 540, 513, 6991, 8957, 942, 3113, 568, 10231, 269, 32437, 568, 4473, 5258, 676, 2196, 282, 593, 513, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 5288, 269, 1269, 1777, 259, 3113, 267, 4473, 815, 1689, 538, 6991, 1269, 24941, 341, 24941, 341, 2450, 476, 1321, 346, 291, 341, 348, 2715, 4151, 543, 2196, 815, 1689, 538, 942, 1269, 24941, 339, 24941, 339, 2450, 476, 1321, 346, 291, 339, 348, 2715, 31859, 1012, 634, 32437, 540, 642, 5288, 269, 512, 692, 763, 9386, 540, 513, 3113, 540, 6991, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 5288, 269, 942, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 568, 10231, 1269, 12711, 2450, 476, 1321, 21151, 348, 2715, 31859, 259, 16435, 2100, 815, 18529, 341, 18529, 339, 815, 513, 9386, 815, 18529, 341, 18529, 339, 815, 513, 14204, 273, 269, 7176, 692, 7712, 519, 6991, 8957, 942, 3113, 538, 7612, 476, 273, 269, 2568, 6357, 264, 568, 513, 2786, 1899, 267, 922, 9386, 568, 519, 1482, 10876, 267, 31552, 602, 10231, 568, 3586, 269, 24665, 566, 8957, 942, 568, 1178, 335, 1117, 538, 7612, 476, 273, 269, 2568, 6262, 6393, 21206, 2489, 1344, 666, 581, 5833, 689, 7612, 476, 273, 269, 7830, 543, 519, 4082, 585, 513, 2786, 1899, 267, 1269, 344, 284, 332, 343, 266, 2421, 284, 332, 343, 17070, 2450, 476, 1321, 26635, 284, 24495, 834, 332, 343, 257, 266, 321, 348, 2715, 31859, 1103, 713, 2013, 267, 519, 7299, 7852, 1269, 344, 344, 2450, 476, 1321, 26635, 348, 2715, 4151, 568, 1269, 309, 309, 2450, 476, 1321, 346, 309, 348, 2715, 20954, 519, 18448, 1269, 6277, 2450, 476, 1321, 15830, 348, 2715, 4151, 568, 1269, 341, 271, 341, 271, 2450, 476, 1321, 28452, 678, 8138, 2715, 2450, 476, 279, 346, 271, 348, 7684, 7684, 2715, 20954, 519, 9386, 1269, 7825, 2450, 476, 1321, 31551, 348, 2715, 4151, 568, 1269, 12711, 2450, 476, 1321, 21151, 348, 2715, 20954, 543, 519, 8880, 7852, 1269, 16282, 2450, 476, 1321, 12757, 348, 2715, 4151, 568, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 23201, 15240, 23082, 891, 6698, 11729, 692, 259, 341, 284, 341, 271, 266, 520, 18192, 284, 341, 271, 266, 520, 269, 2450, 476, 1321, 28452, 284, 341, 678, 8138, 2715, 2450, 476, 279, 346, 271, 348, 7684, 1341, 24495, 834, 520, 257, 348, 2715, 21456, 273, 269, 4200, 692, 288, 2489, 2078, 585, 6991, 267, 10231, 267, 543, 942, 814, 1586, 1044, 5833, 689, 513, 3113, 269, 18564, 602, 713, 3830, 729, 849, 6508, 7223, 1227, 689, 824, 5163, 4834, 538, 18289, 12307, 585, 19693, 24665, 566, 538, 2290, 17435, 3290, 780, 2005, 568, 711, 23139, 602, 519, 1482, 4834, 616, 5833, 676, 21370, 2079, 607, 676, 15821, 2553, 269, 769, 1249, 267, 606, 1271, 1259, 547, 3605, 2168, 3347, 568, 547, 2268, 1585, 2168, 9424, 543, 1287, 1118, 11708, 540, 835, 7274, 1996, 1776, 547, 1294, 952, 789, 616, 17047, 538, 1022, 1259, 269, 4856, 30447, 17538, 2168, 3347, 543, 1522, 581, 3254, 676, 5347, 11708, 971, 607, 1346, 1657, 269, 3245, 971, 11708, 267, 6310, 3347, 666, 3006, 581, 2022, 4327, 269, 4329, 6901, 616, 1287, 5340, 547, 3313, 519, 14496, 540, 519, 32424, 3347, 780, 1012, 28977, 540, 18289, 7316, 24665, 566, 568, 3502, 19693, 692, 3086, 2015, 519, 5163, 540, 519, 15191, 1286, 607, 621, 4422, 689, 476, 13679, 544, 4882, 547, 922, 1283, 6991, 540, 476, 7742, 544, 4882, 267, 1178, 335, 1117, 538, 7612, 476, 273, 269, 8287, 269, 5384, 1586, 6238, 693, 4642, 267, 543, 519, 3355, 6991, 568, 476, 13679, 544, 4882, 269, 630, 1607, 729, 519, 3803, 264, 6991, 540, 519, 1286, 538, 519, 5163, 1178, 335, 1117, 538, 7612, 476, 273, 269, 2568, 4700, 24665, 566, 7930, 11081, 689, 1269, 276, 269, 271, 544, 4882, 1839, 269, 271, 544, 4882, 273, 259, 547, 4642, 950, 519, 1286, 16125, 476, 7742, 544, 4882, 269, 634, 1269, 339, 284, 4649, 588, 284, 4649, 521, 2450, 476, 1321, 346, 339, 6889, 4649, 257, 338, 348, 2715, 20954, 6991, 4679, 2394, 476, 4649, 521, 543, 1287, 3587, 3586, 267, 2094, 10231, 11081, 547, 4642, 693, 476, 4649, 521, 543, 3788, 4642, 26063, 780, 8201, 476, 273, 269, 8287, 28977, 540, 5163, 540, 513, 15191, 14617, 1286, 607, 621, 10301, 922, 1283, 6991, 269, 901, 5163, 5956, 1141, 519, 5163, 538, 7612, 476, 273, 269, 2568, 7475, 269, 630, 320, 264, 634, 6991, 7930, 4485, 922, 1283, 1871, 269, 634, 9386, 540, 713, 3113, 568, 10231, 269, 898, 568, 28367, 538, 519, 3803, 3113, 269, 630, 321, 264, 24665, 566, 7930, 23229, 547, 4642, 950, 6991, 3587, 3586, 269, 18564, 538, 1142, 540, 519, 1614, 11708, 602, 519, 10231, 12772, 1524, 547, 4642, 543, 519, 6991, 2157, 856, 269, 901, 2164, 538, 513, 2990, 6066, 3113, 602, 568, 3592, 5276, 269, 589, 2673, 5346, 540, 519, 2990, 942, 3113, 1131, 1397, 513, 13581, 22441, 267, 607, 8612, 538, 519, 6991, 3113, 780, 1012, 7151, 476, 273, 269, 866, 692, 2162, 29626, 24665, 566, 689, 513, 8641, 540, 20653, 6290, 8957, 5384, 692, 24280, 519, 10231, 540, 519, 15191, 1286, 693, 513, 942, 540, 476, 1839, 521, 676, 4466, 519, 9386, 540, 519, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 5288, 269, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 3113, 538, 7612, 476, 273, 269, 8287, 5416, 6393, 2162, 15613, 692, 763, 9386, 540, 519, 7455, 693, 1269, 339, 284, 1839, 588, 284, 1839, 521, 2450, 476, 1321, 346, 339, 6889, 1839, 257, 338, 348, 2715, 4151, 568, 3160, 547, 519, 9386, 540, 519, 1899, 17242, 693, 602, 1448, 267, 607, 11609, 538, 7612, 476, 273, 269, 8287, 5416, 6393, 2162, 8827, 692, 29991, 1439, 9557, 540, 519, 17242, 1899, 689, 519, 4137, 267, 543, 1287, 11690, 873, 883, 519, 3830, 547, 4194, 585, 9386, 267, 1269, 12711, 2450, 476, 1321, 21151, 348, 2715, 31859, 259, 16435, 2100, 815, 18529, 341, 18529, 339, 815, 476, 18605, 544, 4882, 6567, 476, 13975, 544, 4882, 476, 7906, 521, 6567, 476, 272, 269, 271, 521, 9386, 815, 18529, 341, 18529, 339, 815, 476, 18605, 544, 4882, 6567, 476, 13975, 544, 4882, 476, 7906, 521, 6567, 476, 272, 269, 271, 521, 14204, 273, 269, 1911, 454, 259, 320, 284, 2004, 544, 4882, 2004, 521, 284, 272, 269, 271, 544, 4882, 273, 18502, 284, 2004, 544, 4882, 2004, 521, 284, 272, 269, 271, 544, 4882, 273, 269, 14204, 273, 269, 6200, 692, 2162, 17564, 692, 9616, 602, 713, 1871, 585, 1269, 12711, 259, 568, 5812, 609, 519, 1871, 28367, 538, 7612, 476, 273, 269, 8287, 6357, 264, 693, 1269, 339, 284, 1839, 588, 284, 1839, 521, 2450, 476, 1321, 346, 339, 6889, 1839, 257, 338, 348, 2715, 31859, 288, 3113, 540, 2990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1142, 18760, 543, 2638, 922, 4567, 269, 1284, 666, 1413, 693, 513, 21686, 4580, 543, 8850, 1294, 519, 4567, 540, 19421, 610, 7366, 540, 18760, 17103, 693, 519, 1482, 942, 563, 2005, 568, 1454, 4443, 547, 25117, 513, 3060, 950, 3457, 1450, 721, 547, 8850, 2445, 1239, 269, 2334, 3340, 930, 4674, 593, 519, 851, 540, 519, 10672, 563, 5278, 540, 519, 2640, 540, 13128, 3926, 12122, 454, 268, 1284, 666, 19022, 1142, 3926, 689, 513, 10959, 267, 3079, 540, 16924, 269, 901, 6971, 519, 1981, 540, 5470, 563, 268, 1284, 666, 1689, 3926, 12122, 1759, 593, 519, 942, 540, 1554, 610, 1554, 540, 519, 3018, 267, 799, 1131, 711, 581, 2009, 952, 649, 1185, 547, 798, 865, 16924, 563, 268, 1284, 666, 1689, 3926, 12122, 1759, 593, 3593, 3747, 563, 268, 1284, 616, 1732, 2111, 547, 20272, 1239, 563, 2304, 1383, 540, 606, 12957, 1907, 568, 519, 595, 8646, 8585, 13403, 21686, 4580, 0, 763, 2475, 2229, 779, 5253, 30958, 543, 9755, 685, 1426, 10297, 616, 4543, 4892, 1689, 741, 4189, 6208, 563, 288, 9931, 9335, 4750, 3542, 2982, 602, 476, 2412, 260, 540, 4079, 946, 873, 547, 1246, 8902, 11326, 269, 2986, 1346, 2542, 10297, 267, 476, 4375, 260, 798, 865, 5097, 585, 4189, 513, 7059, 267, 14312, 2732, 563, 8170, 1346, 1135, 1194, 476, 8287, 260, 1767, 602, 789, 1224, 10297, 547, 3927, 4383, 513, 2564, 2783, 269, 20661, 616, 1034, 2693, 547, 1413, 585, 1344, 3823, 3170, 630, 10695, 8472, 585, 2933, 267, 855, 585, 4006, 1543, 950, 10918, 585, 741, 1453, 563, 8170, 1346, 22212, 741, 11326, 547, 14883, 547, 5253, 30958, 4808, 267, 476, 2420, 260, 723, 2944, 865, 609, 2543, 547, 5227, 3232, 32122, 543, 476, 866, 260, 609, 2543, 547, 6712, 2450, 269, 0, 288, 9074, 568, 513, 3758, 4171, 9479, 666, 581, 16041, 883, 3965, 543, 2196, 269, 769, 2489, 267, 621, 568, 538, 9352, 3898, 267, 971, 607, 12327, 292, 543, 667, 17247, 3758, 269, 589, 1184, 666, 2874, 540, 811, 982, 835, 9074, 269, 1403, 782, 9479, 540, 513, 1184, 616, 6740, 538, 835, 3758, 267, 519, 1184, 1152, 814, 835, 9074, 563, 347, 30238, 21213, 8249, 2008, 347, 3528, 18281, 717, 644, 344, 347, 0, 1103, 713, 5124, 4469, 2532, 5850, 267, 649, 786, 581, 7234, 519, 4469, 2532, 1205, 1106, 1239, 1599, 563, 14503, 2532, 814, 513, 2241, 543, 17715, 16105, 602, 2337, 9367, 1205, 909, 543, 4881, 3533, 269, 898, 849, 814, 513, 2603, 540, 13838, 585, 1239, 4393, 267, 17452, 267, 7886, 267, 543, 8509, 908, 563, 14503, 2532, 1205, 1106, 1239, 568, 513, 4469, 2532, 1647, 2264, 602, 2337, 538, 3478, 519, 1239, 689, 519, 1106, 543, 1287, 946, 621, 547, 5352, 1543, 563, 763, 4469, 2532, 1205, 1106, 1239, 1647, 2264, 568, 3730, 585, 1346, 945, 1616, 547, 1711, 6422, 1543, 1759, 593, 3593, 3403, 269, 898, 666, 581, 1031, 538, 1022, 1357, 3498, 602, 2115, 547, 2445, 3593, 3403, 543, 1287, 1780, 621, 593, 547, 1776, 851, 540, 519, 3009, 563, 763, 4469, 2532, 1205, 1106, 1239, 568, 835, 540, 519, 1034, 2442, 2934, 538, 4469, 2532, 269, 901, 1599, 2636, 596, 547, 1224, 519, 2418, 689, 606, 14103, 1106, 538, 513, 28505, 3898, 269, 769, 713, 2376, 267, 649, 786, 1413, 693, 875, 547, 946, 713, 1599, 538, 707, 1788, 563, 1607, 1599, 2501, 609, 519, 1739, 7440, 912, 268, 29250, 281, 634, 15745, 540, 519, 14103, 1106, 593, 799, 596, 1616, 547, 1224, 1239, 689, 3248, 268, 2012, 281, 634, 2012, 14487, 540, 707, 1106, 781, 324, 2211, 3248, 268, 1871, 281, 634, 1871, 14487, 540, 707, 1106, 781, 454, 3080, 540, 519, 1292, 5383, 540, 1210, 713, 5399, 568, 602, 621, 3085, 1405, 2154, 1022, 12122, 610, 14764, 269, 1411, 1175, 991, 547, 1104, 519, 5399, 538, 707, 5124, 1788, 543, 596, 2811, 1434, 547, 979, 269, 6271, 5413, 568, 602, 596, 666, 946, 621, 609, 1022, 1357, 5943, 899, 30622, 24546, 267, 4469, 2532, 267, 610, 30958, 563, 1607, 5399, 849, 814, 513, 1390, 12319, 799, 786, 948, 596, 1174, 875, 547, 946, 621, 1732, 543, 1118, 811, 3608, 946, 540, 621, 563, 18704, 513, 10531, 5048, 609, 707, 2828, 269, 0, 1692, 547, 4001, 3214, 827, 8285, 888, 24993, 281, 5463, 476, 273, 267, 476, 1708, 272, 454, 3412, 9712, 2299, 267, 1934, 781, 1896, 2798, 538, 875, 547, 4001, 3214, 827, 8285, 912, 5575, 267, 835, 1590, 1265, 543, 946, 519, 2707, 540, 519, 8285, 1650, 538, 1931, 547, 1451, 543, 2491, 621, 630, 328, 4318, 269, 519, 6426, 267, 2696, 781, 2262, 1916, 13553, 267, 3450, 3322, 5013, 267, 6426, 15102, 267, 1004, 3238, 267, 3140, 4259, 540, 519, 942, 267, 519, 2495, 543, 3483, 267, 543, 2057, 4946, 547, 610, 6335, 532, 519, 8285, 1650, 563, 23612, 267, 3343, 948, 689, 4168, 3610, 267, 2250, 832, 267, 543, 4589, 630, 1260, 618, 2209, 267, 3092, 4700, 585, 1620, 267, 5813, 267, 7326, 267, 543, 4287, 563, 19177, 628, 267, 1451, 875, 547, 2491, 1312, 519, 2653, 543, 2182, 2035, 563, 293, 604, 628, 267, 3494, 543, 2661, 676, 1018, 596, 616, 3450, 563, 306, 1460, 628, 267, 6935, 958, 2170, 609, 3214, 543, 2057, 546, 18804, 5013, 593, 3214, 899, 513, 3595, 3289, 7949, 269, 18266, 543, 2648, 5352, 513, 22228, 6278, 609, 3214, 602, 948, 9921, 873, 609, 1312, 1543, 543, 1915, 563, 4415, 602, 267, 594, 4941, 547, 1683, 513, 3450, 4199, 602, 5280, 609, 519, 1657, 543, 3177, 606, 2653, 547, 1224, 543, 7096, 1453, 781, 8285, 1433, 602, 3885, 540, 782, 5686, 267, 13039, 543, 1295, 31559, 267, 607, 1134, 607, 3506, 1223, 946, 4534, 634, 3689, 8285, 5753, 781, 3883, 281, 5457, 532, 519, 2622, 781, 4279, 652, 17510, 1485, 563, 1607, 1453, 781, 8285, 1433, 568, 5497, 547, 3142, 3885, 543, 1866, 1927, 538, 513, 1617, 3394, 518, 1049, 2542, 1995, 602, 6941, 519, 8285, 1650, 269, 9835, 18499, 16460, 835, 540, 519, 6264, 330, 1749, 2055, 827, 519, 1101, 8285, 7140, 883, 513, 2407, 7778, 543, 1995, 607, 952, 596, 616, 538, 519, 1482, 2713, 4055, 269, 898, 8711, 602, 519, 1101, 8285, 729, 827, 513, 10516, 543, 602, 10516, 729, 513, 4816, 4534, 519, 1158, 781, 6574, 14512, 563, 30131, 910, 519, 6426, 454, 763, 1433, 18595, 1149, 513, 4259, 602, 1022, 2066, 519, 1158, 666, 1174, 2059, 609, 6426, 15102, 543, 2497, 1369, 519, 2239, 269, 5502, 540, 4743, 899, 835, 568, 2542, 513, 1453, 781, 1433, 267, 621, 568, 5921, 547, 1745, 899, 596, 616, 9361, 543, 6947, 547, 22594, 602, 1416, 827, 596, 269, 634, 2239, 2882, 1271, 267, 1883, 18627, 538, 2407, 689, 519, 6426, 781, 6196, 543, 1715, 11620, 269, 898, 2882, 519, 6264, 2239, 540, 519, 22258, 543, 875, 621, 12211, 547, 1585, 1004, 543, 3871, 2429, 519, 6426, 563, 14399, 786, 849, 1451, 519, 2497, 540, 519, 6426, 267, 602, 972, 568, 1079, 2101, 6810, 540, 6196, 543, 1715, 11620, 607, 1134, 607, 875, 1082, 2835, 616, 538, 1142, 602, 2698, 476, 5780, 585, 519, 3003, 6426, 630, 4375, 538, 519, 744, 11053, 269, 543, 476, 2767, 538, 519, 715, 11053, 28593, 30131, 910, 4906, 454, 763, 1271, 851, 568, 1565, 602, 519, 6574, 543, 1655, 10516, 593, 8285, 568, 1945, 3564, 938, 3618, 569, 2796, 540, 6799, 899, 9162, 267, 3756, 267, 3092, 269, 543, 5059, 593, 4906, 262, 4332, 607, 519, 10516, 799, 568, 849, 513, 14512, 269, 634, 16134, 540, 513, 14512, 2337, 3214, 593, 268, 1090, 335, 547, 1018, 1223, 581, 2731, 2352, 2035, 540, 519, 8285, 1650, 4534, 1519, 1946, 4906, 3357, 547, 581, 4535, 543, 711, 1175, 519, 1249, 602, 646, 1705, 563, 24246, 538, 942, 585, 8285, 454, 763, 3689, 8285, 5753, 781, 3883, 281, 5457, 532, 519, 2622, 781, 4279, 652, 17510, 1485, 3370, 476, 1708, 272, 543, 1631, 2139, 547, 6718, 3842, 2228, 21625, 899, 8835, 267, 4446, 5886, 543, 12321, 956, 267, 9546, 27926, 267, 3092, 269, 2107, 2322, 519, 1433, 2140, 538, 519, 2228, 10685, 518, 3406, 4216, 563, 324, 9349, 543, 10748, 328, 984, 809, 454, 13828, 21820, 540, 19545, 543, 24384, 984, 809, 616, 1631, 2139, 269, 10748, 328, 984, 809, 568, 2139, 3842, 513, 5177, 5256, 543, 4775, 15669, 563, 763, 1433, 2501, 538, 4436, 267, 5053, 267, 543, 14082, 4654, 609, 4566, 585, 811, 538, 519, 4947, 1296, 269, 2422, 1022, 540, 519, 2630, 10643, 547, 5299, 543, 13594, 883, 1034, 2228, 1433, 21625, 899, 8835, 267, 4446, 5886, 543, 12321, 956, 267, 3092, 269, 1452, 616, 2139, 538, 1312, 1957, 3724, 1820, 543, 19545, 21820, 563, 763, 3689, 8285, 5753, 781, 3883, 630, 28049, 2567, 5457, 532, 519, 2622, 781, 4279, 652, 17510, 1485, 454, 763, 3689, 8285, 5753, 781, 3883, 630, 23389, 2567, 5457, 532, 519, 2622, 781, 4279, 652, 17510, 1485, 454, 763, 3689, 8285, 5753, 781, 3883, 630, 21545, 1872, 12956, 2567, 5457, 532, 519, 2622, 781, 4279, 652, 17510, 1485, 454, 14399, 781, 8285, 7734, 910, 10478, 585, 519, 1655, 23965, 454, 292, 2993, 26400, 781, 17714, 9452, 1504, 10022, 454, 20524, 519, 1453, 781, 1650, 1504, 3126, 827, 519, 6574, 1433, 538, 1686, 563, 288, 1762, 7911, 781, 3460, 540, 513, 10715, 547, 1265, 1010, 7508, 22594, 1299, 7106, 8986, 883, 606, 7164, 1158, 2336, 5472, 2835, 267, 10311, 267, 543, 711, 5874, 786, 581, 693, 454, 292, 2993, 26400, 306, 7685, 2593, 1923, 8940, 6230, 337, 333, 622, 9248, 2593, 270, 601, 6359, 1695, 338, 7685, 0, 3383, 2130, 2244, 18346, 3335, 17908, 11626, 10575, 3424, 607, 789, 8038, 936, 1633, 267, 18071, 513, 3810, 2500, 1648, 22766, 21525, 10056, 269, 1717, 267, 1804, 1216, 4703, 3668, 8143, 4253, 2761, 338, 267, 5732, 4742, 8733, 7496, 602, 8423, 704, 9194, 269, 3371, 649, 12290, 519, 2360, 540, 513, 4262, 2627, 593, 519, 27436, 2773, 540, 15870, 2389, 698, 3022, 3043, 588, 3311, 630, 290, 6625, 807, 524, 6625, 807, 264, 1354, 267, 1282, 543, 1310, 789, 18084, 519, 2269, 1080, 540, 18582, 1537, 30198, 269, 744, 2091, 320, 5322, 3238, 1152, 1166, 6260, 543, 1350, 4575, 543, 941, 5488, 267, 21986, 539, 538, 2269, 7660, 267, 27312, 24551, 543, 8507, 538, 2362, 3350, 5829, 1648, 18820, 2157, 982, 936, 1633, 267, 5885, 519, 1216, 11064, 8367, 269, 3683, 1633, 5322, 693, 1312, 5011, 540, 519, 4262, 2269, 1080, 8507, 538, 12475, 6681, 11507, 543, 26799, 24551, 609, 840, 2275, 1484, 532, 19426, 6029, 2362, 6173, 725, 543, 811, 12475, 6681, 11507, 982, 2022, 2275, 1484, 532, 267, 3976, 5885, 519, 11064, 19908, 8367, 269, 10572, 7158, 693, 1312, 7475, 540, 519, 4262, 7522, 941, 10567, 676, 1990, 4689, 12798, 543, 588, 3311, 21485, 4087, 693, 7127, 538, 519, 3864, 554, 5793, 1633, 267, 543, 5017, 1705, 711, 1397, 9104, 1049, 5322, 936, 1633, 538, 24736, 547, 7766, 2842, 771, 2897, 906, 13327, 320, 269, 634, 3259, 540, 519, 1216, 7522, 693, 22576, 13272, 267, 519, 15038, 972, 514, 543, 519, 12798, 593, 8905, 4299, 2101, 3334, 540, 4262, 15385, 2773, 630, 7945, 607, 9883, 543, 2053, 936, 4248, 267, 5934, 6173, 725, 267, 18214, 7285, 267, 11250, 543, 1648, 18820, 1070, 5885, 519, 22576, 2990, 543, 13327, 320, 12798, 19165, 269, 769, 5758, 267, 938, 1353, 2488, 513, 6305, 1383, 693, 1164, 13796, 6571, 540, 875, 5017, 4188, 741, 2623, 543, 17550, 607, 789, 2170, 609, 519, 4657, 2175, 540, 519, 21409, 5420, 267, 556, 718, 20814, 2200, 543, 22212, 741, 3350, 547, 7753, 606, 8733, 11064, 563, 763, 4720, 540, 18714, 865, 2130, 814, 4847, 5017, 547, 11694, 741, 3350, 7207, 936, 1633, 1247, 10893, 1648, 3790, 272, 267, 273, 267, 609, 1804, 267, 3376, 26310, 539, 2244, 18346, 971, 607, 588, 3311, 543, 986, 696, 832, 13215, 713, 1826, 540, 8184, 274, 267, 275, 269, 1635, 29227, 519, 8375, 2011, 14768, 1472, 10575, 3424, 28326, 26105, 6383, 676, 3141, 13463, 730, 7252, 543, 522, 5766, 1429, 344, 267, 865, 2130, 2244, 18346, 21592, 2394, 8757, 513, 9053, 4463, 267, 543, 1287, 1350, 728, 1063, 18615, 28326, 26105, 3976, 4227, 1648, 24683, 21505, 13617, 1166, 6260, 276, 267, 277, 269, 4595, 519, 5790, 11729, 1034, 540, 519, 1648, 2838, 585, 713, 1826, 540, 8184, 267, 519, 3350, 14498, 540, 865, 2130, 2244, 18346, 568, 7361, 28653, 676, 11585, 267, 3141, 543, 4365, 2175, 6038, 8159, 10575, 3424, 630, 324, 3052, 1421, 5687, 1023, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27880, 729, 14407, 539, 856, 1472, 570, 1415, 320, 267, 1317, 8861, 729, 20714, 539, 609, 741, 3586, 838, 9231, 4356, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 7731, 5020, 281, 1496, 3650, 518, 316, 1215, 547, 1867, 513, 2196, 12537, 1126, 1496, 27583, 316, 3503, 1524, 519, 1126, 781, 2012, 543, 4266, 540, 4332, 269, 1496, 21163, 316, 13693, 1022, 8446, 6486, 267, 971, 607, 513, 1780, 1636, 610, 1153, 7329, 267, 547, 1205, 519, 1126, 781, 1101, 267, 1647, 267, 543, 2063, 2012, 607, 1134, 607, 741, 4266, 540, 4332, 267, 952, 2556, 269, 1496, 11357, 25074, 316, 3883, 11435, 616, 513, 1434, 1747, 547, 1413, 585, 513, 1153, 7329, 610, 9920, 781, 12689, 269, 3097, 288, 269, 1496, 27583, 316, 13693, 2564, 5638, 585, 519, 1126, 781, 1034, 2487, 4463, 543, 2597, 269, 1496, 21163, 316, 700, 11229, 519, 3643, 5758, 689, 519, 1126, 781, 2063, 12963, 1014, 13393, 267, 952, 2009, 267, 547, 1205, 519, 5767, 4463, 543, 2597, 585, 519, 1126, 563, 289, 269, 1403, 519, 4116, 26770, 1053, 547, 1683, 8446, 267, 581, 2386, 547, 798, 602, 269, 769, 930, 4025, 267, 596, 949, 1616, 547, 3406, 676, 23407, 3009, 630, 604, 596, 2811, 18516, 827, 1141, 707, 1126, 2729, 264, 610, 563, 290, 269, 1403, 707, 1126, 781, 2012, 610, 4266, 540, 4332, 568, 849, 4092, 593, 513, 2229, 268, 1170, 4240, 7329, 267, 519, 2012, 786, 581, 693, 519, 5377, 540, 519, 3561, 269, 5213, 1405, 946, 513, 5313, 610, 1533, 2229, 9783, 7329, 563, 291, 269, 901, 1281, 711, 991, 547, 581, 513, 3656, 6221, 269, 667, 816, 547, 519, 562, 1149, 543, 17997, 513, 1979, 6248, 12689, 563, 12585, 281, 589, 0, 9223, 281, 834, 300, 558, 267, 666, 594, 27106, 930, 3694, 8119, 1284, 941, 476, 1428, 267, 1250, 1655, 3659, 267, 670, 13860, 267, 543, 594, 267, 5462, 547, 2119, 938, 3946, 693, 2870, 930, 4190, 3694, 269, 834, 2005, 781, 711, 4502, 519, 8373, 2437, 1250, 3993, 1767, 269, 834, 2005, 3217, 6266, 540, 942, 543, 2306, 513, 2462, 3190, 269, 3776, 29221, 2044, 3694, 568, 8949, 1510, 782, 602, 4674, 1701, 23548, 3101, 729, 24631, 269, 16474, 781, 834, 7224, 257, 5921, 834, 5591, 10590, 1809, 1896, 4374, 2663, 267, 4316, 5679, 18088, 281, 3733, 3237, 941, 2469, 856, 585, 519, 10543, 269, 594, 5612, 14376, 670, 13860, 547, 581, 1250, 7649, 538, 3694, 1532, 1136, 6760, 269, 1284, 6594, 519, 11600, 269, 2334, 729, 2653, 269, 834, 300, 1460, 3282, 883, 7912, 1287, 10726, 538, 2185, 540, 519, 5798, 267, 835, 693, 513, 942, 267, 609, 6967, 4006, 543, 6070, 1701, 1284, 941, 711, 1434, 693, 8840, 5798, 269, 594, 6836, 547, 1451, 689, 1250, 3993, 269, 834, 24836, 706, 958, 1039, 5216, 11680, 540, 7912, 269, 1879, 14859, 567, 6585, 1927, 267, 25837, 621, 1701, 1284, 3576, 7140, 2324, 899, 602, 269, 834, 3674, 519, 14859, 1412, 3835, 532, 1927, 262, 8119, 649, 4280, 1142, 824, 269, 594, 15422, 1250, 7023, 781, 5528, 281, 834, 2252, 621, 781, 1932, 20202, 267, 1039, 930, 7912, 282, 952, 1932, 3819, 267, 1039, 1216, 1701, 1284, 3773, 1216, 269, 3973, 811, 7912, 269, 3973, 811, 1216, 269, 1635, 1287, 267, 519, 2527, 540, 938, 14859, 1185, 6738, 1360, 1454, 269, 834, 20278, 14859, 593, 1166, 10696, 2627, 543, 25837, 11489, 5347, 2437, 519, 11600, 25009, 269, 1284, 3576, 7140, 30565, 532, 938, 3946, 538, 519, 14927, 14859, 267, 8930, 4221, 267, 17065, 4506, 267, 543, 4743, 621, 13451, 1063, 11263, 269, 834, 27662, 543, 3282, 12826, 267, 1287, 2132, 14859, 547, 12826, 269, 15147, 543, 1577, 14859, 4473, 538, 3636, 1747, 585, 476, 272, 5662, 1701, 901, 729, 1434, 3377, 26905, 649, 9364, 723, 513, 2736, 269, 2201, 13897, 1221, 10051, 23107, 267, 649, 26927, 3139, 827, 938, 4190, 3694, 269, 834, 8450, 8119, 649, 1131, 2995, 1250, 3158, 269, 834, 3674, 333, 1405, 621, 4502, 519, 960, 8119, 670, 13860, 543, 594, 7948, 1405, 948, 1350, 3496, 693, 519, 8375, 1184, 1169, 1906, 3764, 269, 1809, 4986, 729, 8345, 269, 834, 28646, 1945, 786, 4755, 538, 519, 3905, 14089, 2437, 594, 1767, 269, 10251, 267, 950, 649, 6569, 519, 3138, 2314, 689, 519, 14089, 267, 789, 941, 899, 2182, 10007, 269, 16474, 729, 1318, 282, 621, 3217, 942, 543, 4674, 269, 898, 3006, 2306, 513, 3190, 269, 1809, 1869, 621, 7959, 1434, 267, 11214, 267, 547, 581, 851, 540, 602, 1279, 267, 5571, 5832, 540, 3694, 536, 5474, 269, 4595, 602, 3781, 267, 1312, 670, 13860, 543, 594, 723, 4121, 547, 798, 621, 1318, 269, 634, 8574, 5631, 6645, 721, 567, 9041, 476, 4586, 288, 269, 519, 1184, 540, 1818, 3694, 454, 289, 269, 519, 4655, 1063, 3993, 543, 8250, 454, 290, 269, 519, 1101, 1995, 540, 1818, 3694, 454, 291, 269, 519, 1259, 540, 3257, 2777, 1740, 454, 12585, 281, 595, 0, 9223, 281, 769, 5181, 476, 8687, 273, 267, 19167, 17204, 918, 583, 15120, 990, 781, 7952, 538, 799, 6370, 888, 12585, 281, 18664, 617, 3626, 0, 13825, 601, 21503, 4031, 543, 5280, 547, 1930, 513, 9251, 585, 18238, 269, 5221, 18238, 568, 1360, 1434, 609, 3214, 269, 0, 9223, 281, 634, 667, 8775, 1131, 917, 602, 588, 549, 6362, 543, 1835, 21403, 616, 519, 1079, 1292, 2010, 540, 6765, 538, 1018, 7328, 888, 12585, 281, 476, 1015, 20382, 0, 9223, 281, 24635, 4526, 25455, 1546, 5069, 729, 31562, 476, 609, 1010, 1920, 538, 519, 7330, 950, 646, 8593, 936, 543, 4503, 835, 540, 1010, 1236, 529, 13034, 529, 1920, 4769, 1405, 917, 602, 646, 1185, 513, 1966, 269, 5445, 6854, 593, 31562, 269, 2691, 789, 3893, 547, 519, 3723, 540, 519, 7823, 267, 11004, 729, 1100, 1129, 540, 25455, 269, 25455, 7948, 1405, 1265, 1010, 20744, 9170, 16638, 519, 1439, 267, 515, 4956, 547, 1491, 1055, 1010, 824, 20744, 543, 3802, 1524, 519, 7823, 269, 3719, 646, 7948, 1405, 960, 856, 519, 1318, 1259, 547, 979, 269, 898, 729, 1631, 3478, 4158, 543, 646, 729, 513, 1279, 1259, 689, 1022, 1747, 540, 3106, 269, 3891, 6785, 602, 646, 1522, 5884, 602, 3781, 538, 519, 4411, 5210, 269, 3719, 25455, 6854, 9350, 1547, 4263, 1753, 267, 297, 820, 14478, 513, 2603, 540, 15961, 827, 2713, 538, 2352, 3871, 269, 3891, 15422, 519, 5796, 689, 891, 15961, 543, 6785, 602, 646, 1058, 1628, 513, 8559, 538, 519, 6777, 269, 3891, 1500, 513, 8559, 543, 11329, 621, 909, 519, 14629, 865, 519, 2842, 7948, 1405, 9514, 883, 621, 269, 11073, 2515, 1010, 8559, 32586, 2837, 8593, 547, 513, 5906, 268, 1428, 19592, 290, 7474, 3781, 267, 8117, 3330, 621, 25455, 729, 2922, 689, 519, 4411, 269, 1809, 646, 1185, 547, 1205, 1524, 519, 7823, 7868, 7641, 15961, 2141, 1767, 2437, 2252, 596, 616, 4503, 267, 9767, 1058, 1265, 2576, 3116, 781, 13475, 476, 998, 519, 6777, 543, 1246, 873, 1701, 257, 296, 4941, 547, 2661, 1250, 1272, 1701, 8145, 20047, 25455, 1701, 3383, 594, 3893, 909, 543, 594, 1336, 930, 20744, 13475, 543, 594, 4553, 1346, 1701, 3891, 15336, 543, 15336, 543, 6368, 646, 4718, 8279, 12991, 710, 3108, 1310, 646, 4503, 1010, 20744, 267, 515, 1336, 513, 2319, 540, 11832, 945, 3357, 547, 4688, 1864, 269, 3891, 729, 2922, 256, 3571, 544, 636, 729, 1360, 6126, 950, 1352, 4862, 519, 3377, 6993, 332, 5074, 569, 267, 297, 820, 4769, 1405, 1256, 723, 547, 979, 547, 6413, 269, 3891, 3893, 998, 519, 15265, 1995, 1510, 1022, 7063, 269, 1924, 32586, 1985, 942, 2576, 3081, 602, 8384, 7641, 568, 513, 3653, 540, 942, 267, 20459, 540, 25455, 2529, 5568, 7641, 666, 4688, 707, 1272, 256, 674, 5217, 519, 7965, 267, 297, 820, 9324, 5069, 729, 269, 476, 9041, 454, 288, 269, 30251, 543, 2182, 11529, 454, 289, 269, 9350, 543, 15931, 454, 290, 269, 856, 4707, 543, 5363, 454, 291, 269, 3636, 543, 7874, 563, 12585, 281, 645, 0, 9223, 281, 1548, 568, 513, 10920, 1842, 518, 2496, 288, 269, 513, 2713, 3364, 602, 9397, 1524, 4666, 7103, 454, 289, 269, 513, 2713, 3364, 602, 2306, 922, 1378, 1426, 454, 290, 269, 606, 3662, 602, 22655, 2661, 2371, 454, 291, 269, 606, 3662, 602, 6968, 338, 824, 2831, 454, 12585, 281, 513, 2713, 3364, 602, 9397, 1524, 4666, 7103, 0, 454, 9223, 281, 834, 3674, 11184, 328, 513, 3268, 3563, 540, 6307, 286, 1772, 19626, 1644, 547, 25562, 286, 769, 1804, 3885, 267, 621, 568, 3006, 2352, 547, 1832, 3950, 540, 782, 835, 781, 14077, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 3689, 23350, 281, 9861, 606, 22660, 540, 27262, 568, 2556, 585, 711, 1373, 513, 23013, 540, 9253, 1170, 807, 269, 5822, 23350, 281, 5808, 1197, 568, 711, 513, 23013, 540, 9253, 1170, 807, 568, 513, 8250, 540, 12540, 4958, 269, 12059, 23350, 281, 15526, 945, 568, 711, 513, 6264, 323, 5922, 540, 3933, 3821, 568, 711, 606, 22660, 540, 27262, 610, 711, 513, 8250, 540, 12540, 4958, 269, 1924, 267, 8209, 267, 945, 1197, 568, 711, 513, 23013, 540, 9253, 1170, 807, 568, 513, 6264, 323, 5922, 540, 3933, 3821, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 798, 519, 556, 743, 1441, 3808, 5086, 10460, 538, 10649, 1496, 27583, 316, 23063, 909, 2786, 593, 513, 10649, 1319, 609, 707, 7953, 1927, 543, 6905, 2786, 856, 538, 4395, 540, 596, 269, 1496, 21163, 316, 2659, 19704, 666, 581, 18761, 5594, 952, 602, 568, 811, 6899, 585, 596, 269, 2659, 1394, 1058, 711, 581, 818, 3481, 543, 707, 24060, 1058, 581, 5594, 512, 26786, 883, 707, 9221, 269, 3097, 288, 269, 1496, 27583, 316, 853, 4958, 577, 707, 8423, 1598, 902, 538, 513, 7555, 2990, 269, 1496, 21163, 316, 4518, 707, 8423, 1598, 902, 676, 9870, 707, 7953, 865, 602, 707, 19462, 616, 11329, 543, 707, 31623, 1448, 5594, 909, 563, 289, 269, 1496, 27583, 316, 15579, 519, 10460, 585, 476, 1428, 547, 476, 1789, 7643, 267, 3476, 952, 596, 616, 519, 19444, 269, 1496, 21163, 316, 901, 786, 1450, 596, 547, 6001, 707, 13105, 6091, 543, 707, 8405, 563, 290, 269, 1496, 27583, 316, 15579, 707, 2212, 693, 476, 3393, 11019, 547, 476, 3445, 11019, 269, 1496, 21163, 316, 32379, 707, 2212, 1394, 865, 602, 707, 4552, 1467, 568, 1377, 609, 519, 1319, 563, 291, 269, 2659, 3952, 1058, 581, 4827, 539, 609, 707, 19462, 15738, 547, 519, 18109, 543, 707, 3946, 666, 581, 693, 707, 5011, 610, 16889, 593, 1283, 540, 707, 5580, 25427, 338, 269, 1496, 27583, 316, 645, 754, 707, 19704, 543, 2721, 707, 31623, 2509, 707, 10652, 6665, 563, 12585, 281, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4585, 938, 7880, 9564, 22900, 27491, 11473, 267, 610, 1246, 519, 1900, 8386, 9912, 8666, 5528, 2630, 563, 305, 664, 27484, 18014, 2676, 303, 2001, 619, 1280, 3733, 654, 1057, 1677, 2677, 790, 2725, 2676, 10214, 532, 10021, 13427, 23516, 2676, 13900, 548, 4011, 639, 31970, 529, 1412, 19009, 2676, 307, 12541, 21059, 4406, 550, 514, 9504, 2676, 291, 2651, 25463, 27365, 1234, 10293, 20668, 9487, 6011, 1677, 5269, 9752, 10815, 13262, 995, 267, 0, 763, 6419, 13441, 568, 513, 2268, 540, 519, 1297, 540, 6419, 2361, 3515, 8429, 998, 606, 1858, 269, 1403, 513, 8520, 540, 5911, 609, 606, 1858, 589, 568, 538, 513, 6419, 2361, 645, 267, 519, 6419, 13441, 568, 2016, 676, 281, 1403, 519, 13441, 2242, 267, 606, 900, 325, 786, 581, 13251, 269, 1703, 616, 4061, 1614, 2081, 606, 900, 325, 666, 581, 13251, 538, 513, 8520, 281, 7827, 519, 6419, 2361, 563, 3674, 15444, 293, 519, 1482, 607, 6419, 13441, 888, 19491, 668, 12067, 3196, 281, 630, 4932, 293, 28931, 763, 6453, 6383, 676, 513, 6007, 610, 676, 519, 6419, 3196, 2687, 547, 10787, 611, 599, 779, 4521, 269, 898, 568, 6027, 538, 4559, 540, 24311, 267, 711, 1007, 27971, 267, 543, 3976, 267, 568, 711, 2965, 513, 3196, 269, 6419, 13441, 281, 589, 2268, 540, 519, 4222, 540, 513, 6419, 2361, 538, 513, 2016, 1858, 563, 1432, 568, 519, 2495, 540, 6419, 13441, 888, 300, 8568, 13441, 568, 513, 6482, 540, 519, 2698, 6419, 2361, 799, 10596, 998, 513, 2016, 1858, 269, 898, 568, 513, 3730, 1907, 585, 4543, 4766, 519, 2360, 540, 519, 6419, 3196, 593, 1945, 30939, 513, 2016, 1858, 269, 634, 6482, 540, 6419, 13441, 568, 13615, 547, 519, 1880, 1858, 6074, 563, 3963, 568, 15444, 293, 3193, 950, 13441, 568, 4642, 888, 2691, 519, 16509, 568, 20005, 972, 568, 1100, 1689, 538, 6419, 13441, 630, 328, 4318, 900, 325, 284, 271, 264, 1317, 519, 16509, 3884, 1406, 2048, 12827, 1154, 2066, 685, 519, 2361, 3515, 269, 634, 13251, 900, 325, 568, 4642, 950, 519, 27810, 616, 13902, 547, 519, 2361, 3515, 543, 5021, 950, 789, 2461, 6252, 563, 1432, 798, 596, 1611, 676, 13441, 3095, 720, 888, 1103, 5547, 3069, 267, 13441, 3095, 720, 568, 513, 3959, 540, 513, 1079, 3856, 1400, 3693, 269, 898, 568, 606, 10137, 2864, 982, 606, 6697, 540, 6419, 13441, 543, 568, 3989, 607, 513, 942, 7533, 269, 1141, 568, 519, 6453, 2066, 519, 3926, 267, 610, 519, 1761, 3017, 1063, 519, 1079, 23525, 563, 1432, 28901, 606, 15444, 293, 888, 2304, 900, 325, 568, 13251, 538, 519, 16509, 950, 513, 3046, 11275, 568, 14593, 538, 543, 856, 540, 621, 269, 2506, 12028, 540, 6587, 4191, 616, 3812, 676, 5163, 538, 6587, 8846, 267, 543, 519, 900, 12028, 616, 849, 20328, 676, 10941, 532, 18635, 269, 634, 1482, 2164, 616, 3812, 952, 519, 16509, 568, 6410, 2864, 982, 519, 11275, 22924, 568, 519, 3448, 5163, 602, 568, 1271, 563, 4692, 596, 723, 2942, 15444, 293, 888, 763, 6453, 568, 711, 2942, 267, 2141, 269, 634, 2942, 1129, 538, 10787, 611, 599, 779, 1876, 630, 299, 20044, 779, 1876, 264, 1281, 711, 1611, 602, 519, 15444, 293, 630, 528, 1699, 264, 2141, 2798, 538, 930, 968, 17463, 892, 4287, 269, 898, 1797, 602, 519, 1699, 2141, 8928, 538, 513, 1259, 547, 28586, 519, 1689, 538, 13441, 267, 799, 568, 23182, 11609, 538, 602, 3381, 17157, 563, 1432, 4010, 568, 13441, 888, 293, 12999, 568, 519, 4527, 540, 513, 3196, 2361, 538, 513, 9138, 2168, 5420, 267, 610, 519, 2095, 540, 1648, 998, 513, 2627, 269, 769, 11418, 267, 519, 2165, 10039, 547, 1022, 6850, 18878, 2361, 543, 1022, 6419, 2361, 1547, 12071, 343, 568, 13269, 607, 968, 6050, 892, 538, 513, 7077, 602, 3568, 610, 12969, 338, 3167, 5279, 18635, 610, 6419, 18635, 563, 1432, 568, 519, 2014, 540, 6419, 13441, 888, 300, 8568, 2361, 1813, 547, 3001, 10997, 543, 3167, 14768, 454, 5472, 3001, 9901, 5536, 3132, 6419, 4610, 269, 25021, 1448, 10997, 267, 971, 607, 9211, 267, 3132, 7294, 855, 1134, 1634, 6419, 4610, 602, 4096, 593, 519, 5279, 267, 6991, 267, 543, 10231, 540, 519, 5536, 563, 1432, 568, 13441, 543, 922, 1770, 888, 25821, 12071, 343, 281, 11272, 13441, 568, 513, 1297, 540, 3167, 3515, 540, 4229, 799, 1502, 525, 998, 1022, 3444, 3296, 531, 1858, 950, 519, 3444, 3296, 531, 1858, 538, 6854, 13902, 547, 519, 4287, 540, 3167, 2361, 269, 11272, 13441, 568, 22185, 7274, 799, 568, 20922, 676, 3852, 355, 292, 269, 590, 15660, 269, 5149, 568, 3026, 583, 1258, 263, 5471, 516, 273, 270, 4172, 331, 4861, 264, 28679, 391, 503, 273, 14727, 563, 3674, 6419, 13441, 2141, 476, 271, 888, 4407, 519, 6419, 13441, 998, 513, 6806, 2627, 568, 2141, 4642, 267, 519, 6419, 13441, 998, 606, 1930, 2627, 991, 711, 581, 4642, 543, 568, 606, 1271, 7274, 538, 30402, 24599, 1143, 563, 2691, 6419, 13441, 568, 5021, 888, 763, 6419, 13441, 998, 519, 7077, 540, 519, 16509, 814, 922, 5021, 1871, 950, 713, 7077, 568, 13902, 547, 519, 6419, 2361, 3515, 1063, 519, 18635, 269, 1306, 519, 16509, 7140, 543, 519, 7077, 540, 519, 16509, 3587, 6252, 547, 519, 2361, 3515, 267, 519, 13441, 3587, 4642, 563, 4263, 1018, 5086, 610, 7285, 568, 519, 6419, 13441, 513, 5021, 888, 4263, 1018, 5086, 610, 7285, 568, 519, 6419, 13441, 513, 5021, 286, 634, 13441, 568, 5021, 950, 519, 7077, 540, 519, 8520, 568, 13902, 547, 519, 2361, 267, 693, 476, 271, 4113, 543, 476, 5197, 4113, 563, 1432, 568, 13441, 3095, 720, 4542, 888, 272, 264, 27539, 513, 1699, 594, 538, 519, 18364, 269, 476, 273, 264, 14419, 645, 1210, 519, 4521, 540, 645, 3999, 4149, 822, 691, 267, 610, 2549, 335, 699, 779, 18065, 4521, 952, 972, 568, 6190, 15340, 269, 476, 274, 264, 12433, 519, 2698, 13441, 9103, 16046, 782, 519, 17787, 269, 476, 275, 264, 25092, 519, 2698, 13441, 676, 519, 1297, 540, 17787, 547, 1205, 519, 13441, 3095, 720, 282, 815, 715, 339, 582, 563, 1432, 568, 13441, 5860, 4542, 888, 293, 12999, 5860, 568, 3274, 519, 2698, 13441, 5258, 676, 519, 3444, 3296, 531, 1858, 540, 519, 851, 998, 799, 621, 8928, 1107, 645, 815, 3852, 355, 1315, 32363, 512, 525, 20393, 269, 4935, 476, 272, 649, 828, 829, 4009, 25451, 815, 476, 272, 512, 525, 5055, 269, 12071, 343, 5860, 568, 1644, 547, 2361, 4222, 3842, 519, 27978, 269, 645, 815, 13179, 6398, 670, 563, 1432, 1281, 10787, 611, 599, 779, 1876, 1611, 888, 293, 541, 611, 599, 779, 1876, 2829, 602, 519, 6207, 1871, 610, 9588, 540, 519, 10009, 540, 519, 3167, 2361, 661, 1472, 513, 6806, 8520, 568, 3160, 547, 519, 2557, 540, 1689, 540, 519, 6419, 13441, 998, 519, 1858, 20583, 676, 519, 8520, 269, 2560, 634, 3830, 2630, 20475, 10787, 611, 599, 779, 1876, 538, 6310, 1106, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18773, 476, 6525, 815, 1219, 3005, 610, 22636, 0, 258, 1215, 547, 5173, 1100, 540, 2395, 1063, 7389, 538, 14133, 692, 1012, 1215, 547, 12433, 7089, 540, 17963, 1063, 667, 919, 538, 9185, 692, 2252, 596, 2461, 2324, 609, 7389, 538, 9185, 267, 596, 949, 991, 547, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 269, 901, 666, 581, 3730, 585, 513, 3099, 540, 5301, 267, 971, 607, 9477, 519, 8653, 540, 513, 1788, 610, 12719, 519, 1297, 540, 2395, 1063, 513, 6075, 779, 1931, 543, 6765, 780, 2414, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 9185, 267, 596, 666, 946, 519, 667, 28714, 9281, 1599, 269, 1717, 267, 972, 616, 1896, 1114, 1603, 3270, 596, 666, 946, 267, 4470, 593, 519, 1808, 9819, 596, 991, 547, 1685, 269, 769, 713, 2376, 267, 649, 3580, 3382, 519, 9238, 540, 1210, 519, 667, 28714, 9281, 1599, 547, 5173, 519, 1297, 540, 2395, 1063, 7389, 267, 607, 1134, 607, 930, 811, 1950, 9273, 596, 666, 1685, 609, 824, 9185, 3252, 780, 2162, 5153, 476, 272, 281, 9373, 519, 667, 919, 692, 2414, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 9185, 267, 596, 1101, 991, 547, 4283, 519, 7389, 883, 707, 22369, 269, 1411, 666, 798, 713, 676, 8939, 519, 1591, 1141, 596, 1616, 547, 4283, 519, 1101, 4266, 543, 17511, 538, 519, 4266, 538, 519, 3898, 540, 6515, 7933, 323, 30819, 344, 344, 344, 269, 1411, 666, 1287, 10956, 713, 1184, 585, 519, 2034, 4266, 780, 2162, 5153, 476, 273, 281, 12433, 519, 7089, 540, 17963, 692, 5629, 596, 723, 9411, 519, 7389, 267, 596, 666, 946, 519, 667, 28714, 9281, 1599, 538, 9185, 547, 5173, 519, 1297, 540, 2395, 1063, 873, 269, 634, 16105, 585, 519, 667, 28714, 9281, 1599, 568, 281, 815, 291, 28714, 9281, 263, 11034, 5091, 622, 267, 1439, 5091, 622, 267, 1770, 2020, 2162, 5153, 476, 274, 281, 4197, 519, 19590, 692, 763, 2048, 22780, 685, 9936, 538, 519, 667, 28714, 9281, 1599, 4564, 519, 1826, 540, 8884, 596, 1616, 547, 5173, 1063, 519, 1079, 7389, 269, 1703, 616, 1896, 1114, 4559, 596, 666, 946, 267, 971, 607, 11313, 323, 685, 585, 2395, 267, 11313, 332, 685, 585, 3275, 267, 543, 2048, 344, 685, 585, 1296, 269, 1677, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 267, 596, 1058, 946, 519, 11313, 323, 685, 1770, 780, 2162, 5153, 476, 275, 281, 4635, 519, 667, 28714, 9281, 9577, 585, 29626, 17963, 692, 2414, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 1210, 519, 667, 28714, 9281, 1599, 267, 596, 1131, 4283, 519, 1739, 4542, 883, 519, 1591, 1141, 596, 1616, 519, 1267, 547, 2408, 281, 815, 291, 28714, 9281, 10490, 272, 267, 645, 272, 267, 11313, 323, 685, 2020, 2162, 5153, 476, 276, 281, 4197, 519, 11778, 692, 763, 1267, 540, 519, 667, 28714, 9281, 1599, 786, 581, 519, 1297, 540, 2395, 1063, 519, 1079, 7389, 596, 9411, 269, 901, 1871, 786, 581, 10268, 607, 513, 1297, 538, 519, 1591, 1141, 596, 9411, 519, 4542, 780, 2162, 5153, 476, 277, 281, 4635, 20134, 10606, 585, 667, 919, 538, 519, 12815, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 519, 2250, 267, 596, 666, 946, 2942, 2338, 585, 519, 1376, 4266, 269, 1280, 1383, 267, 952, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 4873, 476, 272, 267, 476, 1708, 271, 267, 543, 2904, 476, 272, 267, 476, 1708, 271, 267, 596, 1131, 4283, 519, 4542, 815, 291, 28714, 9281, 263, 8072, 277, 270, 272, 270, 1708, 271, 8730, 2048, 268, 276, 270, 272, 270, 1708, 271, 8730, 11313, 323, 685, 2020, 2162, 5153, 476, 278, 281, 29626, 519, 7089, 540, 17963, 609, 4653, 779, 11261, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 513, 4266, 538, 519, 2250, 543, 2221, 779, 4266, 267, 596, 666, 946, 519, 9215, 31165, 1599, 538, 9185, 269, 634, 9215, 31165, 1599, 7024, 519, 1699, 4266, 607, 513, 17626, 1297, 267, 865, 596, 666, 946, 621, 538, 707, 4542, 547, 5173, 519, 1297, 540, 2395, 1063, 519, 2250, 4266, 543, 2221, 269, 1280, 1383, 267, 952, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 5130, 476, 272, 267, 476, 1708, 271, 267, 543, 2221, 779, 4266, 267, 596, 1131, 4283, 519, 4542, 815, 291, 28714, 9281, 263, 8072, 272, 270, 272, 270, 1708, 271, 8730, 9215, 31165, 19572, 11313, 323, 685, 2020, 2162, 5153, 476, 279, 281, 29626, 519, 7089, 540, 17963, 609, 513, 8892, 11261, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 513, 4266, 538, 519, 2104, 543, 2221, 779, 4266, 267, 596, 666, 946, 519, 9215, 31165, 1599, 543, 519, 667, 12442, 1599, 1927, 269, 634, 667, 12442, 1599, 2636, 596, 547, 4283, 513, 1808, 4266, 538, 519, 2104, 267, 543, 596, 666, 946, 519, 9215, 31165, 1599, 547, 5173, 519, 1297, 540, 2395, 1063, 519, 2104, 4266, 543, 2221, 269, 1280, 1383, 267, 952, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 5130, 476, 272, 267, 476, 1708, 273, 267, 543, 2221, 779, 4266, 267, 596, 1131, 4283, 519, 4542, 815, 291, 28714, 9281, 263, 8072, 272, 270, 272, 270, 1708, 273, 8730, 9215, 31165, 19572, 11313, 323, 685, 2020, 2162, 5153, 476, 280, 281, 4635, 519, 962, 292, 2752, 9577, 585, 667, 919, 538, 7756, 13012, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 1114, 1296, 267, 596, 666, 946, 519, 962, 292, 2752, 1599, 538, 9185, 269, 634, 962, 292, 2752, 1599, 7024, 519, 1032, 540, 513, 4266, 607, 513, 1297, 267, 799, 596, 666, 946, 538, 707, 4542, 547, 2327, 602, 519, 9819, 568, 4977, 269, 1280, 1383, 267, 952, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 4873, 476, 272, 267, 476, 1708, 271, 267, 543, 4873, 476, 272, 267, 476, 1708, 272, 267, 596, 1131, 4283, 519, 4542, 815, 291, 28714, 9281, 263, 8072, 277, 270, 272, 270, 1708, 271, 8730, 2048, 277, 270, 272, 270, 1708, 272, 8730, 11313, 323, 32426, 1341, 16733, 312, 292, 2752, 263, 8072, 277, 270, 272, 270, 1708, 272, 32426, 910, 962, 292, 2752, 263, 8072, 277, 270, 272, 270, 1708, 271, 685, 4297, 2608, 476, 18458, 2020, 2162, 5153, 476, 1015, 281, 4635, 519, 631, 2177, 8025, 9577, 585, 667, 919, 538, 7756, 3933, 2195, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 1114, 3275, 267, 596, 666, 946, 519, 631, 2177, 8025, 1599, 538, 9185, 269, 634, 631, 2177, 8025, 1599, 7024, 519, 3923, 540, 513, 4266, 607, 513, 1297, 267, 799, 596, 666, 946, 538, 707, 4542, 547, 2327, 602, 519, 9819, 568, 4977, 269, 1280, 1383, 267, 952, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 4873, 476, 272, 267, 476, 1708, 271, 267, 543, 4864, 476, 272, 267, 476, 1708, 271, 267, 596, 1131, 4283, 519, 4542, 815, 291, 28714, 9281, 263, 8072, 277, 270, 272, 270, 1708, 271, 8730, 2048, 279, 270, 272, 270, 1708, 271, 8730, 11313, 323, 32426, 1341, 16733, 300, 2177, 8025, 263, 8072, 279, 270, 272, 270, 1708, 271, 32426, 910, 631, 2177, 8025, 263, 8072, 277, 270, 272, 270, 1708, 271, 685, 4297, 2608, 476, 1789, 2020, 2162, 5153, 476, 1556, 281, 4635, 519, 667, 17751, 9577, 585, 667, 919, 538, 7756, 17963, 692, 2252, 596, 1616, 547, 5173, 519, 1297, 540, 2395, 1063, 1079, 7389, 538, 1114, 2395, 540, 519, 3923, 267, 596, 666, 946, 519, 667, 17751, 1599, 538, 9185, 269, 634, 667, 17751, 1599, 7024, 519, 1554, 540, 519, 3923, 607, 513, 1297, 267, 799, 596, 666, 946, 692, 302, 19520, 2022, 0, 14611, 12474, 692, 258, 1016, 7798, 692, 15761, 847, 4460, 990, 1016, 7798, 692, 1012, 16522, 1314, 692, 1730, 2675, 815, 1016, 7798, 9852, 322, 267, 560, 919, 264, 1730, 692, 1012, 13517, 692, 9987, 692, 1730, 2675, 815, 1016, 7798, 9852, 322, 267, 560, 919, 23375, 7024, 519, 1016, 7798, 2387, 2675, 319, 13939, 689, 519, 15768, 6066, 4460, 990, 5832, 2387, 32508, 18269, 634, 1016, 7798, 3568, 519, 2829, 2387, 560, 919, 319, 543, 782, 2829, 602, 616, 3914, 762, 689, 2387, 560, 919, 18269, 26384, 1012, 6201, 692, 322, 3326, 8985, 782, 692, 13706, 713, 7811, 267, 1318, 3613, 27181, 5912, 5119, 540, 513, 32094, 1184, 780, 319, 259, 303, 7807, 3847, 24560, 8218, 15204, 2410, 764, 764, 348, 271, 261, 476, 272, 261, 476, 271, 261, 476, 271, 11138, 476, 271, 269, 276, 261, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 11138, 476, 271, 261, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 269, 276, 11138, 476, 271, 261, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 269, 276, 17910, 15204, 4153, 2431, 4940, 259, 26384, 8620, 519, 4460, 990, 5832, 602, 568, 6353, 676, 519, 5912, 5119, 623, 780, 3499, 303, 815, 1496, 271, 476, 272, 476, 271, 476, 271, 282, 476, 271, 269, 276, 476, 271, 476, 271, 269, 276, 476, 271, 282, 476, 271, 476, 271, 476, 271, 269, 276, 476, 271, 269, 276, 282, 476, 271, 476, 271, 476, 271, 269, 276, 476, 271, 269, 276, 22049, 26818, 815, 24303, 32508, 27456, 5148, 7884, 5522, 582, 513, 9859, 3113, 540, 519, 4460, 990, 5832, 269, 6250, 1302, 2697, 519, 14379, 1362, 547, 799, 1142, 1533, 12851, 676, 1210, 6843, 4778, 780, 3499, 29664, 282, 3113, 7120, 9852, 322, 10086, 21760, 301, 3941, 3299, 25152, 5148, 7884, 29991, 519, 19335, 3892, 540, 519, 4460, 990, 5832, 780, 319, 343, 815, 29297, 18352, 9852, 322, 23375, 454, 3499, 343, 815, 476, 272, 9943, 275, 476, 271, 269, 1822, 271, 476, 271, 269, 1822, 271, 476, 271, 269, 4335, 271, 476, 271, 269, 4335, 271, 476, 7884, 763, 4460, 990, 5832, 5555, 4991, 12842, 883, 2829, 2387, 274, 319, 543, 2387, 275, 12452, 543, 7766, 13289, 616, 32094, 780, 15761, 847, 519, 20443, 1016, 7798, 540, 519, 4460, 990, 5832, 676, 8429, 2387, 32508, 319, 547, 2387, 11357, 7798, 319, 543, 28408, 835, 540, 519, 2829, 538, 519, 20443, 267, 513, 704, 1675, 545, 14379, 1362, 780, 319, 2675, 815, 1016, 7798, 9852, 322, 267, 274, 5148, 26384, 319, 2675, 319, 568, 513, 2387, 19049, 32508, 319, 1843, 780, 5522, 582, 513, 9859, 3113, 540, 519, 1016, 7798, 780, 3499, 29664, 282, 3113, 7120, 263, 2675, 10086, 21760, 301, 3941, 3299, 25152, 264, 7884, 13706, 713, 7811, 267, 1318, 3613, 27181, 5912, 5119, 540, 513, 32094, 1184, 780, 319, 259, 303, 7807, 3847, 24560, 8218, 15204, 2410, 764, 764, 348, 271, 269, 276, 261, 476, 271, 269, 276, 261, 476, 271, 261, 476, 271, 11138, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 269, 276, 261, 476, 271, 11138, 476, 271, 261, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 269, 276, 11138, 476, 271, 261, 476, 271, 261, 476, 271, 269, 276, 261, 476, 271, 269, 276, 17910, 15204, 4153, 2431, 4940, 259, 26384, 8620, 519, 4460, 990, 5832, 602, 568, 6353, 676, 519, 5912, 5119, 623, 269, 8745, 519, 2829, 3204, 830, 476, 272, 998, 3204, 830, 476, 275, 780, 3499, 303, 815, 1496, 271, 269, 276, 476, 271, 269, 276, 476, 271, 476, 271, 282, 476, 271, 476, 271, 269, 276, 476, 271, 269, 276, 476, 271, 282, 476, 271, 476, 271, 476, 271, 269, 276, 476, 271, 269, 276, 282, 476, 271, 476, 271, 476, 271, 269, 276, 476, 271, 269, 276, 22049, 26818, 815, 24303, 32508, 27456, 10086, 13750, 301, 1868, 3299, 14277, 8802, 830, 476, 272, 257, 834, 8802, 830, 476, 273, 257, 834, 8802, 830, 476, 274, 257, 834, 8802, 830, 476, 275, 19312, 5148, 7884, 5522, 582, 513, 2007, 1429, 540, 519, 5832, 269, 6250, 1302, 2697, 519, 14379, 1362, 547, 799, 1142, 1533, 12851, 676, 1210, 6843, 4778, 780, 3499, 29664, 282, 3113, 7120, 9852, 322, 10086, 21760, 301, 3941, 3299, 25152, 5148, 7884, 8802, 1307, 476, 272, 543, 476, 273, 616, 538, 741, 1378, 14379, 1362, 1317, 3204, 830, 476, 273, 1281, 711, 5912, 547, 3204, 830, 476, 272, 780, 15761, 847, 519, 1016, 7798, 5627, 3204, 830, 476, 273, 267, 513, 23644, 1533, 269, 18224, 519, 5912, 5119, 540, 519, 1016, 7798, 780, 3499, 2675, 815, 1016, 7798, 9852, 322, 2437, 8802, 830, 476, 273, 257, 5148, 1085, 10422 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13789, 607, 952, 789, 616, 6738, 5725, 269, 901, 2085, 568, 9277, 547, 581, 519, 1034, 2352, 585, 1312, 14038, 543, 741, 3237, 267, 1317, 1762, 1004, 7985, 689, 3586, 2566, 543, 519, 7287, 540, 3168, 3579, 543, 9921, 563, 1103, 713, 2085, 789, 1376, 7296, 267, 10438, 4568, 543, 1256, 2119, 2921, 1769, 5061, 538, 1931, 547, 581, 7608, 538, 741, 1514, 2516, 269, 634, 1379, 540, 519, 15730, 19838, 12510, 337, 1143, 689, 519, 2085, 540, 476, 1704, 547, 476, 2537, 6971, 267, 1317, 519, 1762, 1268, 3587, 1608, 1067, 543, 1200, 3664, 543, 3527, 2443, 811, 24534, 563, 3849, 3421, 1417, 19838, 12510, 337, 1143, 568, 606, 4277, 1888, 585, 519, 1382, 799, 666, 1683, 1053, 609, 519, 3606, 1702, 827, 519, 15116, 885, 540, 519, 5626, 1646, 540, 519, 1480, 1373, 563, 2005, 568, 8797, 547, 7747, 519, 1888, 538, 2489, 543, 1287, 1445, 593, 519, 17386, 2013, 6700, 676, 519, 7548, 269, 2290, 1058, 2628, 3007, 547, 519, 2014, 543, 1198, 540, 519, 15730, 19838, 12510, 337, 1143, 543, 6218, 922, 3928, 538, 1931, 547, 16540, 519, 2500, 3070, 547, 713, 1966, 563, 763, 2875, 945, 568, 4280, 547, 5965, 513, 2298, 2013, 1353, 568, 2111, 547, 11883, 609, 519, 7084, 609, 519, 6351, 540, 519, 5769, 543, 4810, 5830, 945, 666, 2671, 741, 1702, 609, 519, 1762, 1004, 563, 763, 1762, 3318, 666, 8011, 538, 1603, 952, 646, 5654, 998, 513, 1863, 1383, 2013, 1353, 593, 15730, 19838, 12510, 337, 1143, 2854, 2228, 9950, 326, 12510, 337, 1143, 281, 589, 8865, 5530, 563, 301, 5308, 13256, 5442, 8863, 6579, 291, 6730, 5084, 5357, 2464, 290, 7728, 631, 7728, 3201, 31178, 910, 715, 5308, 13256, 5442, 8863, 6579, 291, 6730, 5084, 5357, 2464, 290, 7728, 631, 7728, 3201, 31178, 24023, 9410, 634, 2160, 540, 24368, 1496, 16942, 6870, 316, 8865, 5530, 2093, 267, 8456, 267, 2418, 267, 2422, 540, 6698, 630, 10175, 1893, 1070, 20501, 2631, 540, 942, 267, 27642, 543, 3860, 1404, 563, 292, 326, 12510, 337, 1143, 269, 32183, 661, 326, 12510, 337, 1143, 8865, 5525, 269, 11352, 13517, 269, 570, 28692, 19447, 10498, 281, 700, 9281, 292, 9501, 3198, 667, 14110, 5085, 8008, 16774, 476, 1428, 628, 11581, 296, 3582, 1635, 281, 808, 15121, 301, 654, 563, 306, 19611, 4629, 290, 298, 2160, 540, 7147, 693, 28543, 269, 32183, 661, 326, 12510, 337, 1143, 8865, 5525, 11352, 13517, 570, 28692, 19447, 10498, 281, 700, 9281, 292, 9501, 3198, 667, 14110, 5085, 8008, 16774, 476, 1428, 628, 11581, 296, 3582, 1635, 281, 808, 15121, 301, 654, 269, 590, 19611, 4629, 290, 298, 2160, 540, 7147, 693, 28543, 14484, 593, 1079, 540, 4432, 11779, 781, 19183, 540, 15730, 19838, 12510, 337, 1143, 281, 476, 272, 563, 763, 16494, 5304, 476, 273, 269, 634, 2123, 535, 762, 8921, 267, 1711, 1079, 2013, 2090, 630, 1913, 1142, 1070, 1142, 20515, 835, 540, 891, 563, 3849, 3421, 1417, 19838, 12510, 337, 1143, 568, 519, 3661, 602, 4587, 17408, 839, 543, 12322, 723, 602, 824, 1004, 616, 9878, 513, 2603, 540, 3007, 547, 519, 1259, 789, 1413, 543, 957, 269, 4658, 896, 519, 3310, 540, 713, 19838, 12510, 337, 1143, 3494, 602, 782, 540, 519, 4064, 538, 513, 3510, 616, 3168, 693, 873, 563, 3849, 3421, 1417, 661, 326, 12510, 337, 1143, 8865, 5525, 593, 678, 583, 611, 3881, 3711, 528, 2593, 910, 10017, 267, 6092, 1740, 910, 12829, 27752, 267, 9517, 910, 661, 326, 12510, 337, 1143, 281, 589, 8865, 5530, 269, 715, 5308, 13256, 5442, 8863, 6579, 291, 6730, 5084, 5357, 2464, 290, 7728, 631, 7728, 3201, 31178, 910, 715, 5308, 13256, 5442, 8863, 6579, 291, 6730, 5084, 5357, 2464, 290, 7728, 631, 7728, 3201, 31178, 24023, 9410, 634, 2160, 540, 24368, 1496, 16942, 6870, 316, 8865, 5530, 2093, 267, 8456, 267, 2418, 267, 2422, 540, 6698, 630, 10175, 1893, 1070, 20501, 2631, 540, 942, 267, 27642, 543, 3860, 1404, 269, 661, 326, 12510, 337, 1143, 269, 8865, 2090, 666, 581, 2123, 2833, 610, 1500, 909, 585, 519, 3483, 540, 14745, 269, 6201, 1058, 581, 2189, 267, 543, 1058, 8428, 689, 1806, 1031, 538, 17976, 476, 276, 610, 519, 13445, 476, 276, 1837, 13220, 269, 14905, 3898, 568, 711, 2838, 267, 855, 4396, 4081, 1603, 568, 4397, 563, 1607, 568, 513, 3339, 5042, 1184, 267, 855, 269, 32183, 661, 326, 12510, 337, 1143, 8865, 5525, 593, 678, 583, 611, 3881, 3711, 528, 2593, 910, 10017, 267, 6092, 1740, 910, 12829, 27752, 267, 9517, 910, 11581, 24102, 3201, 13662, 22180, 29206, 3722, 20937, 3367, 902, 538, 12409, 10017, 269, 31603, 676, 281, 654, 269, 670, 3726, 339, 7831, 8242, 281, 5437, 0, 15368, 559, 1938, 729, 513, 16159, 540, 519, 476, 273, 526, 2540, 595, 9950, 269, 945, 6785, 519, 12355, 543, 4168, 30920, 607, 1134, 607, 1373, 18164, 538, 12266, 543, 5259, 2219, 269, 1809, 646, 849, 4607, 1018, 729, 547, 1831, 513, 5728, 2245, 3957, 1310, 1864, 267, 1759, 593, 1702, 5293, 547, 1864, 689, 606, 2038, 3705, 614, 540, 519, 24347, 548, 8834, 269, 29092, 1938, 5206, 533, 15680, 916, 267, 5212, 525, 267, 543, 6085, 2456, 593, 519, 717, 28145, 269, 1261, 849, 5206, 513, 22258, 585, 1010, 1378, 3392, 267, 855, 1360, 2370, 540, 1010, 12591, 723, 1044, 12873, 269, 3571, 1062, 4667, 547, 1331, 3344, 540, 3026, 6955, 26293, 1143, 267, 6754, 710, 8567, 267, 543, 717, 333, 739, 6291, 269, 3571, 3392, 267, 519, 29092, 573, 2103, 267, 3769, 2035, 602, 1131, 2221, 581, 1572, 556, 4532, 28271, 267, 737, 12609, 267, 543, 10841, 2045, 1143, 563, 307, 541, 582, 27837, 5020, 454, 15919, 2713, 606, 6273, 1272, 1797, 2348, 2645, 547, 4308, 609, 2053, 1141, 6667, 610, 5876, 1745, 17808, 610, 15877, 269, 24664, 1176, 267, 4432, 5112, 3947, 721, 513, 3262, 547, 948, 609, 1346, 2053, 269, 0, 763, 5545, 24077, 25114, 1222, 4053, 20076, 729, 2848, 5446, 7532, 2059, 609, 513, 18239, 540, 824, 12959, 4721, 267, 2267, 23924, 267, 543, 6861, 619, 593, 741, 1259, 4724, 1018, 729, 4397, 547, 581, 513, 6172, 12519, 6370, 693, 2274, 344, 974, 13323, 269, 2311, 476, 279, 281, 1015, 993, 593, 5239, 476, 2190, 267, 476, 3707, 275, 267, 4053, 20076, 779, 23071, 10288, 519, 12284, 547, 6370, 10473, 269, 1323, 1977, 1085, 719, 7077, 1185, 1044, 19481, 16841, 269, 634, 18239, 26218, 922, 1378, 2011, 3382, 267, 865, 621, 1185, 547, 22036, 519, 1977, 7077, 543, 4397, 606, 4323, 1022, 942, 269, 634, 18239, 19524, 267, 31288, 6875, 334, 27956, 7534, 267, 2366, 513, 5048, 547, 1010, 25501, 281, 968, 5319, 5519, 31487, 616, 16042, 269, 11565, 538, 519, 29331, 543, 2285, 621, 707, 1655, 3034, 4263, 476, 280, 281, 1789, 513, 1413, 719, 19481, 513, 2468, 334, 540, 1018, 7902, 547, 581, 811, 1085, 719, 14742, 269, 27956, 7534, 16761, 2011, 1489, 689, 2244, 2861, 25881, 267, 855, 789, 2760, 8452, 269, 10815, 982, 606, 5662, 2663, 519, 1413, 8083, 19481, 519, 1101, 5951, 540, 1977, 14742, 269, 1358, 941, 689, 519, 772, 2529, 269, 8484, 19057, 2271, 516, 3671, 543, 16410, 582, 267, 513, 1906, 18797, 8731, 6244, 334, 543, 4685, 17177, 1499, 26603, 9285, 676, 476, 2641, 25881, 269, 10738, 513, 1906, 3764, 4053, 20076, 779, 1884, 807, 7878, 15963, 941, 538, 2962, 267, 11488, 21448, 6607, 1189, 693, 8484, 602, 32168, 539, 1524, 547, 5838, 741, 14686, 31139, 338, 269, 589, 10514, 5734, 1101, 267, 855, 621, 13351, 519, 4464, 2881, 4958, 267, 3257, 1100, 3441, 269, 3973, 513, 8731, 6244, 334, 12936, 993, 1749, 4721, 543, 2185, 811, 23038, 941, 2282, 4413, 525, 282, 741, 5916, 2360, 941, 20984, 2630, 519, 6928, 779, 1216, 1467, 269, 4053, 20076, 2919, 513, 1592, 540, 476, 7906, 270, 273, 5232, 547, 5182, 4580, 267, 855, 3441, 1852, 1212, 9749, 941, 2111, 547, 2569, 602, 547, 835, 4110, 269, 634, 6928, 1869, 6854, 10605, 609, 519, 18239, 563, 307, 4048, 1227, 585, 519, 12284, 267, 2705, 267, 4053, 20076, 779, 8062, 1185, 1152, 1175, 3323, 269, 10738, 606, 5662, 1776, 4323, 7018, 282, 513, 2468, 334, 540, 8731, 6244, 3996, 13351, 519, 2823, 2427, 2059, 609, 1079, 811, 10514, 16125, 269, 634, 6928, 1631, 7396, 2947, 5232, 547, 2823, 543, 4503, 519, 2823, 4412, 11839, 269, 2701, 8593, 3297, 519, 18239, 267, 9561, 519, 4027, 540, 922, 26603, 2176, 269, 1879, 519, 1985, 10880, 8452, 267, 1256, 519, 1292, 15963, 17991, 593, 621, 267, 1210, 8370, 521, 753, 327, 5942, 1673, 534, 267, 610, 581, 12317, 633, 16115, 2966, 585, 1884, 807, 7878, 3595, 269, 1358, 1185, 1100, 7805, 1198, 593, 713, 5951, 610, 519, 1985, 267, 855, 811, 8731, 6244, 334, 543, 10514, 16125, 4553, 267, 6028, 4053, 20076, 588, 4459, 523, 269, 634, 3804, 1185, 1044, 547, 1205, 519, 18239, 1369, 2039, 540, 519, 1977, 12289, 3196, 538, 2274, 344, 974, 13323, 543, 2482, 3653, 547, 621, 269, 634, 5545, 4323, 3196, 1131, 1869, 12446, 267, 855, 621, 1131, 581, 2110, 835, 12959, 1222, 269, 4053, 20076, 521, 1678, 9944, 519, 6329, 1175, 1310, 476, 278, 281, 1789, 6751, 267, 513, 6408, 540, 11566, 1977, 2011, 1379, 563, 763, 7414, 2782, 6905, 936, 606, 10373, 1163, 534, 572, 267, 1034, 540, 621, 1216, 12297, 1540, 609, 5215, 540, 10195, 267, 1818, 621, 9247, 513, 4655, 540, 10617, 4721, 543, 8484, 269, 769, 476, 3707, 275, 267, 519, 1977, 5718, 8359, 547, 10880, 1985, 693, 519, 13372, 267, 799, 1131, 1812, 3567, 779, 3095, 547, 922, 3282, 3761, 543, 3142, 519, 27469, 835, 1900, 6251, 547, 10678, 519, 2112, 269, 3567, 779, 1378, 2112, 3401, 6785, 713, 729, 513, 2693, 28627, 540, 1935, 585, 741, 10546, 543, 5423, 585, 621, 267, 855, 789, 941, 3728, 4881, 856, 540, 9635, 267, 8484, 267, 543, 2200, 543, 1185, 547, 1118, 798, 609, 1018, 7283, 593, 1688, 269, 5637, 5011, 1031, 4987, 11018, 267, 11028, 18590, 267, 543, 5925, 954, 4003, 547, 3313, 1018, 741, 18545, 1131, 798, 269, 5463, 8327, 532, 606, 10546, 779, 15752, 543, 14045, 875, 547, 4831, 873, 568, 513, 1950, 543, 2352, 1184, 269, 1215, 1312, 5011, 6836, 547, 798, 713, 568, 1134, 22281, 539, 538, 23566, 3683, 2274, 344, 974, 281, 634, 27000, 12833, 5235, 543, 519, 20121, 2315, 540, 519, 5545, 13108, 630, 11990, 623, 2784, 657, 267, 715, 3201, 2836, 9200, 267, 1715, 3840, 267, 476, 1001, 277, 267, 476, 4343, 279, 6032, 1421, 7851, 267, 11147, 267, 4967, 267, 15853, 267, 4994, 267, 1269, 2764, 269, 876, 267, 2182, 16225, 1916, 2467, 723, 1044, 1082, 2835, 593, 519, 2274, 344, 974, 13323, 8165, 543, 585, 1434, 2601, 269, 634, 6370, 568, 2407, 540, 9157, 3375, 1818, 267, 3665, 10100, 267, 543, 2182, 1922, 4454, 3527, 269, 1548, 2306, 713, 1007, 1433, 1796, 856, 568, 519, 2278, 779, 3573, 1382, 883, 519, 4987, 543, 11028, 18590, 3646, 602, 3576, 1747, 1354, 519, 8165, 269, 634, 960, 1281, 606, 5140, 2816, 6029, 875, 1312, 5011, 6836, 547, 4137, 856, 1018, 519, 824, 1131, 798, 607, 1134, 607, 875, 519, 1585, 14789, 19500, 267, 4259, 519, 3942, 585, 519, 5545, 26010, 779, 2063, 2101, 6370, 269, 634, 2179, 540, 1469, 3769, 538, 519, 2278, 779, 10526, 2982, 519, 10373, 2179, 540, 1382, 3144, 689, 4987, 5359, 543, 519, 2179, 540, 960, 2944, 547, 30136, 782, 519, 1239, 563, 763, 1267, 568, 513, 8499, 13181, 1433, 602, 1427, 20635, 519, 840, 331, 8775, 547, 519, 6370, 1354, 18167, 883, 519, 4339, 3294, 538, 3078, 18340, 269, 634, 2278, 779, 3573, 1702, 2636, 1864, 547, 1039, 4282, 1344, 607, 2877, 269, 898, 568, 513, 2347, 1427, 2454, 540, 835, 540, 1686, 779, 4102, 17189, 4497, 906, 563, 21595, 1177, 534, 6816, 538, 519, 13372, 729, 519, 3135, 540, 513, 5545, 24507, 31266, 3786, 282, 538, 3735, 476, 3707, 275, 602, 3786, 4371, 476, 5611, 1977, 14586, 269, 1358, 1185, 28815, 1296, 540, 25711, 267, 2068, 267, 543, 27781, 1247, 2324, 693, 7142, 4074, 269, 898, 729, 513, 927, 1501, 6228, 269, 14033, 519, 1439, 540, 519, 1032, 772, 2529, 269, 4229, 15354, 538, 519, 13372, 269, 634, 5545, 4956, 547, 12638, 519, 14586, 267, 1200, 3429, 873, 883, 1507, 11895, 2011, 986, 573, 24181, 269, 1452, 25653, 8083, 941, 1287, 546, 748, 539, 609, 17405, 543, 1305, 705, 331, 10270, 269, 6168, 476, 1789, 4892, 941, 2111, 547, 9101, 519, 1166, 5446, 29365, 543, 10443, 585, 519, 3448, 3106, 540, 930, 7404, 30917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1421, 1299, 10089, 323, 584, 267, 590, 269, 630, 1001, 274, 1040, 25947, 840, 28129, 2257, 3610, 685, 1582, 30797, 827, 519, 946, 540, 4244, 4879, 281, 1955, 6473, 585, 3069, 543, 2259, 269, 4750, 540, 27397, 3163, 4065, 267, 476, 1321, 630, 275, 1070, 476, 3393, 273, 268, 275, 5038, 563, 25629, 577, 2335, 523, 5336, 528, 534, 267, 631, 1421, 1299, 670, 1195, 267, 589, 269, 654, 269, 630, 1220, 272, 1040, 11819, 12117, 281, 12650, 1005, 606, 21792, 4020, 269, 9752, 543, 11819, 4065, 267, 476, 1704, 267, 476, 4281, 274, 268, 3199, 276, 269, 5680, 563, 25629, 577, 2335, 523, 5336, 528, 534, 267, 631, 1421, 1299, 670, 1195, 267, 589, 269, 654, 269, 630, 1220, 278, 1040, 634, 11186, 24970, 1027, 757, 540, 1582, 30797, 4978, 540, 30497, 543, 4810, 3610, 269, 9752, 543, 11819, 4065, 267, 476, 2537, 267, 476, 280, 4510, 268, 4817, 277, 563, 25629, 577, 2335, 523, 5336, 528, 534, 267, 631, 1421, 26741, 27714, 670, 1195, 267, 589, 1421, 1299, 670, 1195, 267, 654, 269, 918, 269, 630, 1960, 279, 1040, 11819, 12117, 281, 4706, 2495, 543, 2268, 269, 5623, 540, 12409, 3194, 267, 476, 6924, 263, 1015, 1070, 476, 1708, 268, 27886, 563, 31282, 518, 267, 667, 269, 630, 1001, 271, 1040, 19120, 5511, 5967, 1374, 281, 589, 4052, 3391, 585, 30497, 22602, 269, 634, 19120, 5511, 7797, 267, 476, 1428, 263, 274, 1070, 476, 4037, 275, 268, 31318, 563, 31282, 518, 267, 590, 269, 700, 1421, 30434, 267, 623, 1421, 1299, 14466, 752, 517, 560, 656, 514, 537, 267, 589, 269, 630, 1220, 275, 1040, 634, 1764, 540, 513, 3318, 1646, 1982, 593, 3610, 685, 1582, 30797, 269, 7433, 4843, 693, 519, 5993, 5870, 540, 519, 2817, 7027, 540, 11334, 540, 9119, 267, 15740, 267, 13698, 563, 308, 2529, 269, 4972, 540, 4065, 269, 630, 1220, 279, 1040, 25043, 585, 1967, 281, 634, 3803, 1867, 540, 519, 3084, 6128, 28007, 8470, 269, 6115, 267, 9823, 281, 2475, 4972, 540, 4065, 563, 309, 534, 667, 21119, 267, 808, 269, 670, 1421, 966, 7002, 267, 654, 269, 681, 1421, 1299, 808, 753, 11420, 267, 674, 269, 808, 269, 630, 1220, 272, 1040, 16677, 698, 16479, 1543, 1702, 281, 606, 32687, 5057, 1369, 519, 1702, 3490, 585, 3450, 269, 9752, 543, 11819, 4065, 267, 476, 1704, 263, 279, 1070, 476, 280, 8064, 268, 7176, 277, 563, 310, 20490, 267, 808, 269, 630, 2735, 278, 1040, 634, 8456, 540, 840, 28129, 3119, 3610, 4724, 6128, 281, 2368, 7422, 269, 3194, 538, 9119, 4065, 538, 5245, 267, 272, 267, 476, 4366, 268, 6321, 563, 310, 523, 1676, 267, 717, 269, 630, 1220, 272, 1040, 3163, 543, 6128, 12117, 4978, 4371, 676, 8026, 543, 17053, 3610, 281, 589, 476, 276, 4458, 5133, 269, 4750, 540, 3163, 4065, 543, 5303, 267, 476, 1015, 630, 273, 1070, 476, 8687, 268, 6942, 563, 310, 559, 9469, 267, 808, 269, 700, 269, 631, 269, 630, 1220, 279, 1040, 634, 2078, 1851, 10026, 3610, 685, 1543, 1702, 267, 8456, 267, 4978, 267, 543, 2853, 269, 4750, 540, 4569, 11819, 4065, 267, 476, 1556, 263, 273, 1070, 476, 16928, 268, 13932, 563, 310, 559, 9469, 267, 808, 269, 700, 269, 631, 1421, 1299, 15952, 267, 645, 269, 681, 269, 630, 1220, 275, 1040, 7827, 538, 1095, 16291, 3610, 685, 4978, 281, 1323, 6268, 540, 513, 6128, 2409, 1576, 269, 3427, 3163, 543, 9119, 267, 476, 10441, 267, 476, 26297, 268, 22446, 563, 24841, 267, 681, 1421, 1299, 17020, 3120, 267, 589, 269, 630, 2735, 280, 1040, 8177, 540, 1523, 687, 540, 2702, 593, 1582, 15696, 17419, 7271, 543, 1950, 3375, 1818, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 6321, 263, 274, 1070, 476, 2412, 278, 268, 25870, 563, 310, 944, 27714, 670, 1195, 267, 589, 1421, 1299, 590, 704, 334, 267, 681, 269, 645, 269, 630, 1220, 276, 1040, 15448, 538, 4116, 12117, 1282, 519, 2038, 1296, 540, 3450, 281, 589, 6476, 540, 2185, 3800, 269, 9752, 543, 11819, 4065, 267, 476, 2641, 263, 275, 1070, 476, 29340, 268, 32579, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 6745, 622, 269, 1220, 276, 269, 4905, 269, 23669, 454, 312, 559, 332, 1794, 267, 595, 269, 630, 1001, 272, 1040, 11334, 685, 11994, 540, 1582, 30797, 267, 2296, 15334, 267, 543, 14292, 2994, 269, 4317, 10263, 1299, 22226, 281, 1323, 4139, 4750, 267, 476, 4375, 263, 272, 1070, 476, 11011, 268, 1911, 563, 312, 559, 332, 1794, 267, 670, 1421, 1299, 3331, 485, 6072, 26535, 267, 623, 269, 670, 269, 630, 1220, 279, 1040, 634, 1198, 540, 519, 3450, 2259, 593, 1095, 16291, 10026, 3610, 685, 2257, 3450, 12117, 543, 4928, 2359, 4978, 269, 20195, 14901, 4750, 540, 9119, 269, 3163, 267, 1299, 5303, 267, 476, 275, 263, 272, 1070, 476, 3393, 268, 6246, 563, 313, 20810, 2006, 267, 645, 269, 808, 269, 630, 1220, 271, 1040, 8682, 30797, 281, 1323, 1898, 30254, 547, 1451, 269, 12634, 12409, 10017, 267, 476, 1839, 263, 272, 1070, 476, 11025, 268, 11011, 269, 0, 291, 2678, 779, 25887, 6592, 519, 4102, 17717, 538, 519, 4104, 2094, 476, 1001, 277, 269, 634, 9552, 729, 13671, 538, 519, 2829, 540, 4223, 334, 717, 4592, 810, 267, 681, 528, 2727, 320, 267, 543, 3474, 5451, 543, 4359, 593, 2127, 538, 7013, 8835, 553, 543, 538, 519, 3148, 1472, 519, 19836, 268, 29204, 19814, 269, 667, 4078, 23667, 568, 23185, 676, 513, 3668, 540, 23388, 543, 568, 4397, 547, 1332, 713, 1032, 563, 14722, 11168, 602, 4227, 519, 6937, 540, 19131, 542, 676, 1990, 3019, 4680, 5673, 593, 968, 4133, 3874, 12046, 5608, 855, 538, 8478, 267, 519, 5826, 540, 1804, 24721, 5054, 8255, 883, 3138, 2684, 3421, 543, 17799, 538, 7598, 519, 11206, 8943, 563, 7922, 4169, 971, 607, 519, 3864, 5742, 1058, 4228, 9993, 593, 16306, 2404, 609, 17717, 543, 824, 5222, 538, 9341, 2477, 563, 1103, 966, 879, 335, 15530, 267, 513, 8257, 538, 519, 18207, 1014, 8835, 267, 6805, 9082, 804, 532, 547, 741, 4978, 547, 2149, 2933, 689, 5599, 269, 589, 598, 20896, 585, 519, 14226, 540, 897, 11927, 2587, 619, 1614, 2950, 281, 519, 3401, 616, 12219, 543, 741, 1318, 547, 1991, 15360, 814, 1044, 26991, 563, 763, 8689, 540, 1656, 525, 8835, 8750, 23607, 543, 8711, 519, 18454, 543, 14286, 540, 519, 2229, 568, 10678, 543, 4967, 609, 6161, 519, 18747, 540, 519, 2229, 602, 568, 827, 547, 2253, 269, 11468, 2639, 763, 12080, 540, 5113, 538, 18475, 630, 300, 2562, 4456, 264, 1305, 6306, 476, 28192, 269, 10844, 20267, 732, 1858, 538, 22784, 1729, 607, 513, 1007, 17721, 11094, 9351, 547, 18359, 519, 5117, 585, 2199, 5095, 563, 1607, 2462, 3529, 568, 7106, 8960, 1813, 547, 17717, 267, 2244, 1646, 267, 543, 519, 10231, 540, 20012, 269, 2353, 540, 713, 568, 9648, 1510, 519, 7156, 540, 5726, 1143, 563, 763, 2817, 6796, 540, 7849, 13363, 539, 19791, 540, 18475, 609, 1896, 824, 1857, 543, 4357, 5238, 8704, 513, 2638, 4812, 693, 519, 2353, 335, 24660, 599, 334, 631, 880, 8457, 2817, 15944, 543, 519, 623, 659, 11535, 6341, 597, 807, 2817, 15944, 563, 291, 4078, 23667, 814, 1044, 519, 1292, 6662, 540, 6643, 2994, 267, 855, 513, 1007, 1353, 538, 7186, 9060, 602, 4104, 12159, 267, 610, 519, 7771, 538, 519, 2298, 540, 7733, 267, 568, 849, 513, 2101, 3463, 547, 9265, 563, 22492, 1235, 1459, 2164, 593, 21996, 267, 24659, 2359, 267, 2825, 5533, 267, 3327, 4859, 543, 9265, 538, 519, 8835, 269, 0, 309, 1122, 267, 1875, 268, 557, 326, 267, 2840, 344, 8643, 568, 711, 7657, 1819, 1510, 13342, 269, 2334, 568, 1946, 13342, 568, 1031, 538, 1169, 7622, 269, 898, 711, 1152, 8591, 8137, 547, 1225, 1845, 267, 855, 849, 5713, 607, 513, 1390, 4915, 538, 27955, 1082, 22074, 269, 12275, 997, 814, 849, 1044, 23963, 8810, 547, 723, 16392, 3601, 269, 898, 568, 1360, 1434, 585, 15847, 2550, 547, 2322, 13342, 804, 7174, 538, 23017, 7573, 543, 3548, 873, 16172, 1310, 269, 898, 568, 1434, 585, 1072, 2436, 13881, 6151, 610, 11273, 269, 717, 5424, 11151, 4411, 543, 11522, 269, 898, 849, 6971, 15319, 11563, 269, 12275, 997, 4249, 606, 1271, 1909, 538, 2597, 2530, 269, 14856, 13342, 5781, 666, 1205, 7759, 540, 1082, 1072, 2042, 563, 26926, 478, 14856, 13342, 6971, 4411, 269, 898, 711, 1152, 10607, 519, 8647, 540, 519, 4761, 1062, 855, 849, 4679, 922, 4222, 269, 4340, 547, 1585, 2090, 907, 4189, 13342, 6971, 4411, 676, 3592, 476, 2568, 2600, 563, 26926, 478, 12275, 997, 1568, 607, 606, 4550, 13611, 269, 11087, 806, 4887, 6553, 543, 15319, 11563, 269, 3509, 7189, 4363, 13342, 3282, 547, 1004, 7092, 689, 12263, 547, 2061, 20162, 3441, 563, 26926, 478, 8555, 1407, 2295, 1072, 269, 590, 5285, 584, 538, 621, 568, 10736, 883, 7250, 20962, 728, 3154, 676, 2699, 1973, 2281, 269, 898, 18274, 519, 1973, 8043, 543, 5849, 1434, 1973, 2095, 547, 519, 2295, 563, 26926, 478, 634, 27611, 543, 15934, 3601, 540, 13342, 948, 1852, 18383, 2736, 8083, 563, 26926, 478, 8899, 619, 25928, 8501, 2157, 676, 476, 1015, 268, 1428, 2600, 269, 901, 3648, 6971, 519, 8458, 540, 2295, 2068, 563, 26926, 478, 12275, 997, 2337, 538, 7303, 28115, 894, 3676, 899, 12216, 779, 543, 12110, 563, 26926, 478, 12275, 997, 1216, 568, 849, 1434, 585, 1346, 945, 1616, 547, 6336, 2597, 269, 25530, 713, 3232, 786, 15835, 1560, 3170, 269, 634, 1267, 568, 2386, 547, 6336, 2597, 563, 26926, 478, 12275, 997, 1216, 568, 1360, 6225, 585, 1346, 7092, 689, 4745, 1928, 269, 1635, 6704, 621, 3232, 267, 1346, 24074, 616, 896, 1852, 563, 26926, 478, 634, 3601, 540, 13342, 2327, 1697, 1973, 10009, 538, 519, 1560, 269, 901, 11151, 1164, 22680, 563, 28848, 4376, 538, 20208, 568, 1434, 585, 1072, 269, 14856, 1932, 1454, 568, 5906, 269, 3117, 11167, 1932, 1454, 13342, 666, 2014, 1072, 2042, 971, 607, 14331, 267, 7244, 2042, 267, 11959, 267, 32105, 267, 9854, 267, 2530, 540, 14031, 267, 543, 21994, 269, 2334, 779, 1946, 835, 1058, 5077, 519, 4387, 543, 8532, 13342, 1152, 538, 3617, 13066, 563, 9616, 281, 6176, 6394, 689, 1585, 2090, 267, 29622, 267, 1072, 13746, 568, 3177, 1934, 607, 8912, 585, 707, 1620, 269, 1547, 901, 1344, 568, 711, 513, 12990, 585, 2564, 1416, 610, 2126, 269, 3204, 8973, 1072, 907, 596, 1058, 9090, 5077, 513, 4387, 952, 596, 723, 1022, 22027, 269, 7490, 4063, 602, 2048, 5723, 303, 13474, 8730, 2048, 5723, 303, 8416, 685, 616, 711, 3743, 585, 519, 6927, 5018, 538, 713, 2376, 563, 7476, 519, 811, 1344, 10311, 593, 27999, 0, 2562, 14566, 308, 9970, 5508, 21768, 3041, 7495, 2464, 6730, 631, 24518, 7495, 12471, 22494, 10396, 9358, 7582, 19845, 27073, 8991, 262, 18919, 744, 7473, 303, 7473, 454, 7712, 519, 2063, 851, 540, 519, 30619, 2540, 547, 19951, 972, 814, 1044, 606, 8561, 593, 18919, 1565, 269, 32501, 814, 19430, 3173, 547, 8495, 1007, 543, 811, 2500, 2081, 547, 1451, 269, 1715, 6436, 723, 1044, 2919, 543, 9439, 4294, 930, 540, 873, 269, 11059, 1382, 814, 1044, 2799, 1282, 519, 2063, 476, 736, 1296, 630, 289, 5281, 267, 476, 1001, 271, 264, 543, 519, 2640, 540, 1382, 814, 3366, 547, 811, 3860, 2081, 540, 3450, 563, 7212, 2462, 3646, 723, 1044, 1500, 593, 1818, 4245, 811, 6209, 547, 1053, 630, 16524, 1299, 667, 965, 1399, 267, 476, 1220, 280, 264, 543, 4543, 873, 547, 1589, 538, 513, 4914, 1893, 630, 303, 1276, 3279, 1299, 19365, 338, 267, 476, 1001, 272, 1070, 649, 3494, 602, 519, 1655, 1259, 547, 1174, 5049, 568, 14236, 519, 3450, 19543, 1184, 269, 14755, 11287, 543, 10916, 267, 4928, 16606, 630, 19604, 7257, 339, 267, 476, 1220, 279, 264, 543, 30228, 4928, 11407, 563, 1607, 1382, 5910, 1742, 547, 8495, 519, 3450, 19543, 1184, 267, 711, 10704, 593, 4116, 781, 7180, 630, 2419, 7596, 1258, 267, 476, 2735, 279, 264, 855, 593, 1053, 262, 32705, 11407, 563, 21982, 11407, 2079, 607, 606, 1898, 1907, 649, 723, 9862, 16429, 743, 1515, 1299, 4172, 331, 628, 731, 781, 11407, 2079, 2203, 630, 3192, 276, 264, 4946, 2609, 689, 22062, 566, 5811, 630, 1206, 14241, 267, 476, 1960, 275, 264, 543, 751, 2468, 4820, 924, 17748, 540, 1893, 630, 303, 1195, 520, 657, 267, 476, 1960, 275, 1040, 1284, 1353, 2296, 5049, 585, 5053, 1053, 538, 519, 5045, 540, 8050, 563, 2171, 1445, 593, 26613, 4928, 2497, 267, 10747, 2010, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1082, 2188, 971, 607, 707, 2085, 267, 1072, 267, 543, 952, 596, 723, 1185, 513, 3105, 5945, 269, 18401, 942, 849, 5673, 593, 519, 10335, 540, 519, 5945, 269, 589, 536, 2720, 320, 602, 568, 1152, 7646, 569, 28332, 543, 814, 1175, 3323, 547, 10413, 949, 2087, 1369, 513, 1906, 4374, 269, 589, 536, 2720, 320, 602, 568, 3648, 28332, 543, 814, 1044, 11213, 585, 513, 1279, 942, 949, 1491, 909, 547, 513, 1906, 3275, 547, 2087, 269, 1411, 991, 547, 3247, 3257, 519, 2238, 602, 2014, 1928, 2394, 707, 13105, 814, 646, 4705, 269, 1403, 596, 3136, 3257, 2238, 602, 2014, 1928, 267, 707, 2589, 786, 2132, 543, 621, 786, 1491, 3476, 547, 9156, 563, 25444, 973, 13569, 689, 606, 5945, 693, 513, 1114, 2557, 269, 17776, 547, 707, 2238, 786, 581, 5462, 676, 875, 4166, 707, 13105, 973, 13569, 267, 711, 676, 875, 1082, 2395, 610, 4374, 621, 814, 1044, 2094, 707, 5945, 814, 7018, 269, 769, 2489, 267, 519, 3476, 596, 723, 2589, 1354, 596, 1376, 2126, 267, 519, 3476, 621, 786, 1491, 547, 1205, 1732, 269, 634, 3804, 540, 14317, 568, 547, 2132, 596, 547, 707, 3339, 2238, 607, 4166, 607, 568, 9108, 2009, 269, 1403, 596, 2132, 1932, 4166, 596, 949, 22009, 707, 5945, 563, 2791, 949, 9108, 2132, 547, 707, 2238, 950, 912, 6826, 2386, 547, 3636, 909, 5265, 543, 12701, 707, 13105, 1354, 971, 2238, 607, 18530, 267, 4730, 17281, 267, 610, 10977, 269, 1403, 707, 13105, 5956, 547, 10413, 1282, 891, 2238, 267, 596, 949, 991, 547, 3500, 1524, 2394, 519, 1928, 4422, 2476, 563, 2791, 949, 798, 891, 5751, 950, 707, 1928, 814, 4824, 563, 11767, 707, 19478, 2232, 2630, 543, 2046, 519, 23184, 7735, 269, 0, 763, 5004, 12580, 2986, 17588, 577, 4345, 910, 476, 278, 5440, 9669, 1607, 2376, 11828, 519, 1655, 2081, 585, 596, 547, 4383, 519, 10335, 543, 2589, 540, 32583, 269, 7849, 4330, 23954, 267, 5061, 267, 543, 519, 1455, 4485, 602, 666, 581, 1031, 538, 513, 1360, 2241, 1259, 547, 1390, 2164, 2631, 563, 289, 1258, 577, 4345, 568, 513, 7929, 2783, 950, 972, 568, 6553, 538, 519, 16298, 540, 519, 19357, 658, 13740, 3056, 547, 519, 9641, 563, 2467, 616, 2241, 2081, 602, 666, 948, 538, 519, 2359, 540, 32583, 912, 22879, 12526, 540, 29655, 7296, 543, 2057, 8673, 2879, 4428, 824, 3755, 849, 2057, 8673, 26130, 2127, 543, 5957, 513, 9633, 952, 2556, 563, 8196, 513, 11517, 6500, 610, 18519, 8595, 547, 5848, 523, 519, 2011, 269, 901, 2337, 3138, 4923, 5394, 22024, 543, 8897, 7244, 563, 288, 3905, 1216, 11480, 610, 513, 3905, 24621, 5116, 593, 707, 1394, 610, 9221, 1354, 21557, 949, 948, 2569, 6553, 563, 290, 1245, 4365, 11148, 547, 24395, 622, 32583, 799, 666, 948, 3382, 707, 5023, 543, 9224, 950, 856, 693, 1970, 5210, 563, 22879, 1210, 607, 2742, 952, 2009, 267, 1317, 519, 11522, 568, 519, 1259, 547, 1163, 601, 22024, 269, 1717, 267, 607, 2742, 666, 581, 3144, 693, 21557, 952, 2877, 547, 3207, 563, 12648, 519, 6646, 607, 11311, 269, 1684, 711, 3247, 610, 4413, 513, 9570, 267, 543, 2347, 519, 3003, 3014, 269, 1677, 948, 2061, 2427, 2360, 267, 519, 946, 540, 23254, 619, 610, 4915, 1152, 538, 3617, 13066, 563, 19400, 707, 6484, 543, 6704, 811, 12862, 1519, 3905, 27130, 267, 7401, 543, 1216, 269, 13773, 2476, 689, 3536, 602, 12954, 519, 5250, 540, 22024, 267, 971, 607, 7912, 267, 5144, 267, 27574, 3536, 267, 16738, 543, 930, 3536, 602, 2014, 14711, 2589, 563, 347, 553, 2742, 4485, 267, 607, 2742, 32583, 267, 607, 2742, 6464, 267, 607, 2742, 11828, 267, 607, 2742, 2360, 267, 607, 2742, 23254, 619, 267, 607, 2742, 824, 312, 2293, 267, 607, 2742, 2164, 267, 607, 2742, 2589, 267, 607, 2742, 5210, 267, 27574, 607, 2742, 267, 3361, 607, 2742, 267, 12675, 607, 2742, 267, 17941, 607, 2742, 347, 0, 20373, 281, 1548, 590, 1323, 15379, 18065, 1215, 1684, 8752, 4210, 9662, 4518, 8342, 1548, 590, 1323, 15379, 18065, 1215, 1684, 8752, 4210, 9662, 4518, 8342, 8866, 634, 9487, 590, 5753, 590, 15571, 13749, 13658, 2201, 24542, 1656, 27989, 1948, 25628, 273, 454, 5228, 519, 1657, 476, 6344, 271, 343, 277, 4037, 21368, 799, 568, 851, 540, 519, 834, 14888, 312, 10261, 539, 4840, 29715, 800, 269, 8281, 713, 3239, 585, 1863, 538, 18074, 6571, 519, 3903, 834, 24591, 2407, 6571, 4840, 10964, 578, 269, 1403, 596, 798, 711, 1265, 519, 3169, 6571, 596, 616, 3168, 585, 267, 1287, 979, 585, 513, 5065, 610, 2362, 6571, 563, 10111, 11538, 856, 5122, 11443, 676, 593, 707, 1378, 666, 581, 9157, 269, 2334, 568, 538, 1880, 865, 1022, 942, 596, 10638, 519, 1702, 7132, 519, 2324, 1995, 538, 5122, 1919, 269, 634, 1448, 568, 596, 666, 711, 798, 513, 4693, 543, 5470, 1062, 950, 2324, 609, 5122, 11443, 269, 8210, 5558, 1223, 5279, 596, 513, 19539, 610, 1256, 707, 1272, 269, 6904, 568, 1946, 1991, 547, 4098, 1022, 798, 32717, 3917, 712, 1345, 5122, 7816, 267, 596, 1590, 2911, 547, 930, 5122, 11443, 14511, 538, 1931, 547, 581, 2386, 596, 1174, 1018, 596, 616, 7900, 269, 6271, 3364, 827, 5122, 11443, 568, 519, 1249, 602, 12904, 616, 1419, 2681, 27573, 269, 4935, 267, 621, 568, 2965, 2731, 4443, 547, 581, 3222, 540, 799, 3283, 2824, 799, 269, 7201, 17231, 1131, 581, 519, 1034, 7928, 5122, 11443, 28780, 4171, 4267, 4749, 1331, 15437, 602, 666, 948, 596, 3715, 1175, 827, 1169, 3982, 5911, 269, 910, 15379, 18514, 570, 893, 454, 16978, 16361, 9504, 15379, 18065, 7869, 3883, 1948, 277, 4391, 279, 454, 31640, 16530, 2961, 18514, 4425, 24031, 23663, 6008, 531, 9835, 634, 1111, 16790, 14351, 12182, 16530, 2961, 18514, 4425, 24031, 23663, 6008, 531, 9835, 634, 1111, 16790, 14351, 11473, 14272, 720, 966, 728, 29793, 4169, 12182, 18514, 11272, 1948, 4649, 273, 276, 454, 1692, 798, 1411, 18514, 513, 22732, 888, 3080, 540, 835, 540, 519, 1034, 1455, 5122, 11443, 2055, 568, 3823, 875, 547, 5911, 513, 23396, 269, 4634, 1498, 1818, 946, 540, 17176, 693, 707, 1753, 568, 1360, 2656, 267, 11443, 513, 1268, 949, 1134, 711, 581, 602, 4674, 1652, 585, 3025, 269, 1323, 10396, 14114, 13697, 6467, 568, 2731, 3833, 2241, 547, 5911, 269, 1411, 3513, 1265, 1896, 2010, 540, 17176, 267, 855, 585, 713, 3236, 267, 1577, 721, 2161, 596, 2811, 8380, 538, 513, 2582, 1790, 1961, 547, 24327, 6467, 267, 513, 2731, 11342, 23396, 630, 663, 519, 15864, 1916, 2791, 3513, 1265, 1614, 15437, 540, 12904, 538, 513, 3044, 2582, 1790, 1961, 547, 24327, 6467, 281, 3109, 267, 3043, 267, 543, 13476, 7874, 269, 590, 680, 823, 519, 3109, 5911, 538, 1079, 543, 6443, 873, 936, 519, 12363, 25336, 910, 513, 1268, 593, 6305, 543, 849, 519, 824, 593, 519, 3490, 17684, 689, 519, 1689, 269, 634, 3043, 5911, 5713, 899, 513, 3761, 540, 796, 5793, 32152, 2702, 543, 568, 849, 2356, 5532, 547, 707, 7646, 25549, 12363, 17684, 630, 324, 3052, 1421, 8988, 1040, 4045, 519, 538, 23024, 27624, 5911, 883, 519, 2666, 17684, 540, 519, 23396, 563, 4322, 3268, 1131, 3622, 581, 7850, 547, 948, 1118, 513, 3339, 1689, 1205, 519, 2816, 2944, 543, 711, 1210, 513, 1966, 269, 1717, 267, 950, 596, 616, 711, 1582, 18101, 1211, 799, 596, 666, 4163, 856, 519, 23072, 18113, 543, 9108, 596, 2484, 1732, 11863, 519, 4648, 798, 621, 4244, 569, 269, 8056, 2664, 2299, 1310, 782, 267, 596, 666, 1265, 513, 2014, 1946, 713, 20089, 568, 835, 540, 519, 1034, 2442, 5122, 11443, 14511, 16761, 676, 519, 5354, 540, 1004, 563, 1692, 798, 1411, 18514, 513, 9919, 4979, 27684, 888, 2690, 930, 2601, 267, 4388, 593, 875, 547, 5911, 513, 18109, 10178, 666, 581, 10838, 676, 2484, 519, 1034, 7928, 5122, 11443, 28780, 269, 1677, 14458, 713, 20089, 267, 596, 1058, 8415, 606, 1367, 6467, 585, 1022, 2582, 18109, 10178, 269, 1677, 5911, 519, 1139, 7163, 267, 621, 568, 2731, 1175, 513, 1118, 1022, 3017, 540, 8220, 519, 3109, 5911, 540, 519, 18109, 10178, 2509, 519, 3109, 5911, 593, 519, 1689, 269, 1403, 972, 568, 513, 17426, 267, 519, 4544, 5911, 2115, 547, 581, 5532, 585, 519, 3109, 5911, 689, 519, 23396, 849, 563, 1692, 666, 1411, 16510, 513, 6601, 6033, 543, 519, 1259, 14348, 596, 3417, 513, 4427, 19937, 888, 4407, 513, 2603, 540, 3801, 547, 2119, 543, 798, 891, 9021, 676, 2933, 267, 1034, 540, 519, 1004, 616, 15695, 547, 16926, 606, 3167, 1014, 4244, 569, 269, 898, 781, 1454, 811, 4101, 543, 585, 602, 2601, 22247, 585, 1082, 2367, 543, 2021, 547, 2119, 547, 5372, 513, 30517, 610, 1039, 513, 8470, 269, 1677, 2285, 596, 606, 2856, 827, 713, 4990, 540, 1455, 5122, 11443, 28780, 267, 596, 1131, 4440, 723, 547, 798, 519, 2816, 936, 513, 11212, 3905, 5122, 8470, 269, 1403, 596, 1810, 1405, 1256, 2731, 917, 1018, 1018, 713, 1797, 568, 267, 596, 616, 3274, 1175, 711, 28110, 909, 547, 9585, 519, 4305, 3054, 269, 4634, 952, 596, 1590, 25058, 2484, 811, 676, 17849, 513, 3318, 3167, 1014, 267, 621, 781, 3648, 10930, 543, 1454, 811, 8797, 547, 798, 713, 3079, 269, 910, 1548, 590, 1323, 15379, 18065, 1215, 1684, 8752, 4210, 9662, 4518, 8342, 1548, 590, 1323, 15379, 18065, 1215, 1684, 8752, 4210, 9662, 4518, 8342, 8866, 634, 9487, 590, 5753, 590, 15571, 13749, 13658, 2201, 24542, 1656, 27989, 1948, 25628, 273, 454, 2791, 786, 1265, 3123, 1946, 891, 616, 4440, 519, 1034, 4749, 4280, 5122, 11443, 4555, 269, 2290, 1880, 267, 6266, 540, 8263, 621, 5963, 568, 3551, 547, 9585, 267, 543, 1079, 267, 789, 616, 519, 7839, 5122, 6009, 693, 707, 1753, 269, 1809, 1287, 596, 1058, 711, 1305, 707, 3354, 538, 8594, 1369, 707, 3804, 547, 1859, 1125, 269, 634, 30367, 1223, 1256, 581, 513, 1390, 4308, 8273, 538, 2013, 596, 3343, 547, 6108, 1447, 543, 798, 606, 5122, 11443, 4305, 609, 1100, 2614, 1702, 610, 1995, 563, 8368, 1206, 1923, 27317, 18074, 21368, 281, 476, 14225, 279, 1535, 476, 14225, 279, 454, 328, 17490, 476, 276, 476, 276, 306, 21368, 281, 476, 25953, 1535, 476, 13647, 277, 454, 328, 17490, 476, 277, 476, 277, 306, 21368, 281, 476, 16020, 1535, 476, 15836, 275, 454, 328, 17490, 476, 277, 270, 277, 306, 9578, 476, 278, 9578, 476, 279, 9578, 21368, 281, 476, 10482, 271, 1535, 476, 4572, 271, 454, 4517, 5514, 22994, 3796, 18074, 21368, 281, 476, 11740, 1535, 476, 25953, 454, 267, 476, 25851, 1535, 476, 31634, 454, 267, 476, 24798, 1535, 476, 12553, 271, 454, 4517, 5514, 22994, 3796, 9509, 18074, 21368, 281, 476, 10482, 271, 1535, 476, 4572, 271, 454, 300, 24213, 18074, 21368, 281, 476, 21878, 1535, 476, 8517, 454, 267, 476, 278, 6924, 1535, 476, 12553, 271, 454, 300, 24213, 1627, 8461, 1923, 21236, 2473, 21368, 281, 476, 13893, 271, 1535, 476, 16348, 271, 454, 8368, 1206, 1627, 8461, 1923, 27317, 1160, 21368, 281, 476, 16348, 271, 1535, 476, 16348, 271, 454, 310, 1938, 10547, 21368, 281, 476, 12553, 271, 1535, 476, 8517, 454, 267, 476, 13893, 271, 1535, 476, 12010, 454, 267, 476, 12739, 271, 1535, 476, 10755, 271, 454, 267, 476, 4572, 271, 1535, 476, 6344, 271, 454, 267, 476, 16348, 271, 1535, 476, 8182, 271, 454, 14303, 2088, 22453, 21368, 281, 476, 25971, 271, 1535, 476, 5197, 271, 454, 267, 476, 29575, 271, 1535, 476, 13301, 271, 454, 8461, 21368, 281, 476, 12553, 271, 1535, 476, 24798, 454, 267, 476, 15793, 277, 1535, 476, 278, 6924, 454, 267, 476, 8182, 271, 1535, 476, 12010, 454, 267, 476, 4572, 271, 1535, 476, 10482, 271, 454, 267, 476, 16348, 271, 1535, 476, 13893, 271, 454, 19575, 571, 18074, 476, 275, 298, 21368, 281, 476, 29575, 271, 1535, 476, 21327, 271, 454, 19575, 571, 18074, 476, 276, 298, 21368, 281, 476, 24423, 271, 1535, 476, 25971, 271, 454, 19575, 571, 18074, 476, 279, 298, 21368, 281, 476, 278, 6924, 271, 1535, 476, 28242, 271, 454, 1607, 3239, 568, 3177, 1152, 585, 2123, 946, 269, 1403, 596, 1336, 1022, 2592, 10677, 539, 547, 16523, 267, 5225, 3346, 721, 543, 649, 786, 4894, 621, 269, 1284, 1810, 1405, 20053, 547, 4159, 1022, 10677, 6870, 2592, 563, 16665, 2201, 16530, 12810, 21145, 0, 20373, 281, 1215, 1677, 5269, 589, 11822, 15379, 18065, 654, 23943, 11272, 27989, 6103, 476, 277, 1948, 7277, 276, 454, 5228, 519, 1657, 476, 26116, 278, 343, 4335, 271, 21368, 799, 568, 851, 540, 519, 834, 14888, 312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 544, 6914, 538, 519, 3552, 568, 476, 1015, 1296, 267, 855, 538, 24811, 267, 789, 666, 2661, 909, 547, 476, 1704, 1296, 267, 19011, 1645, 476, 1428, 563, 763, 12566, 544, 6914, 7610, 1080, 4104, 9249, 267, 1519, 28301, 267, 6404, 267, 543, 598, 26448, 4104, 543, 27422, 2025, 3766, 9512, 4104, 936, 1762, 4104, 563, 303, 710, 12004, 839, 616, 22072, 4849, 950, 1762, 616, 538, 519, 9566, 267, 855, 666, 20496, 4830, 1016, 611, 6699, 602, 1705, 711, 771, 704, 572, 538, 741, 1101, 2887, 563, 763, 2732, 5888, 543, 8167, 540, 519, 12566, 544, 6914, 2242, 2687, 547, 4005, 543, 2199, 2175, 607, 789, 4431, 547, 20437, 887, 4823, 1630, 1682, 543, 4005, 958, 2139, 5613, 543, 15708, 563, 763, 32442, 540, 519, 12566, 544, 6914, 2882, 513, 3638, 6960, 3490, 10359, 282, 606, 12150, 267, 27598, 11399, 1052, 11563, 15429, 282, 513, 12457, 880, 512, 842, 593, 519, 17987, 282, 543, 4158, 2287, 593, 519, 533, 9155, 563, 763, 5162, 10359, 540, 519, 12566, 544, 6914, 814, 2141, 1044, 538, 1164, 3747, 282, 607, 971, 267, 519, 2249, 814, 1044, 6707, 6854, 593, 9663, 11396, 267, 855, 4123, 540, 519, 9663, 593, 513, 1804, 267, 5010, 4336, 18387, 1406, 1044, 15164, 563, 2026, 538, 1082, 1590, 601, 1749, 267, 12093, 538, 12566, 12004, 839, 568, 13615, 5702, 547, 519, 4005, 1275, 540, 741, 22465, 9249, 267, 4481, 547, 519, 2333, 540, 21765, 538, 519, 5614, 563, 303, 710, 12004, 839, 616, 27248, 267, 6140, 3742, 1282, 519, 3781, 543, 693, 546, 23677, 563, 1103, 10430, 267, 12566, 12004, 839, 616, 7226, 2489, 1235, 267, 2864, 982, 7226, 12665, 267, 543, 7928, 1082, 7226, 2010, 971, 607, 4104, 24914, 267, 21432, 31922, 267, 543, 6371, 544, 3233, 4133, 563, 763, 12566, 544, 6914, 814, 513, 3638, 6960, 9663, 10359, 602, 568, 5394, 543, 3623, 5652, 538, 519, 5162, 543, 2110, 543, 21432, 538, 519, 4832, 267, 1310, 606, 5993, 12387, 339, 538, 519, 5614, 563, 303, 710, 12004, 839, 723, 1100, 1634, 2942, 2360, 593, 3425, 543, 723, 2760, 1044, 1634, 607, 513, 11641, 607, 789, 2057, 1480, 17260, 563, 763, 12566, 544, 6914, 779, 5420, 20695, 15186, 9775, 32321, 543, 9038, 29387, 8951, 676, 476, 1321, 268, 1789, 18336, 7212, 519, 1753, 2039, 2450, 540, 519, 12566, 544, 6914, 568, 7334, 267, 621, 779, 2312, 602, 5256, 9832, 616, 3677, 982, 4775, 9832, 543, 602, 789, 16937, 1346, 540, 835, 610, 811, 8951, 563, 1103, 519, 3552, 267, 12566, 12004, 839, 949, 19898, 538, 741, 1101, 4832, 693, 476, 1691, 3275, 540, 2085, 267, 855, 538, 24811, 1034, 9038, 1810, 1406, 9742, 2394, 476, 2767, 3275, 2025, 563, 1103, 3810, 12119, 9249, 267, 519, 2450, 540, 519, 12566, 544, 6914, 779, 1753, 2039, 2242, 4005, 958, 267, 16756, 532, 909, 547, 476, 7918, 260, 1282, 519, 21617, 12405, 607, 12004, 839, 3382, 1447, 3845, 693, 3781, 563, 303, 710, 12004, 839, 616, 5578, 995, 1726, 564, 641, 21962, 543, 740, 30794, 6172, 1499, 609, 1082, 2168, 14624, 267, 971, 607, 513, 1279, 2766, 543, 3532, 2062, 3916, 2125, 267, 3514, 585, 741, 818, 321, 648, 531, 267, 1035, 13681, 1738, 6197, 563, 4263, 835, 942, 267, 31005, 1014, 1821, 2812, 941, 538, 8594, 540, 14486, 1813, 547, 20655, 676, 13896, 543, 9552, 540, 4104, 7226, 267, 855, 5095, 723, 2094, 11689, 1242, 1813, 547, 8825, 4031, 563, 307, 553, 2006, 1014, 1821, 2812, 2648, 1216, 543, 616, 1360, 1434, 7669, 11302, 543, 786, 530, 1228, 267, 10943, 1662, 827, 267, 1694, 267, 543, 9114, 1524, 538, 1216, 547, 3251, 3579, 563, 13828, 9038, 543, 4775, 31005, 1014, 1821, 2812, 3954, 538, 17860, 20743, 267, 23572, 267, 610, 3276, 4900, 267, 543, 1118, 20097, 540, 13626, 267, 6371, 267, 543, 3762, 267, 799, 789, 9468, 2429, 519, 1554, 563, 307, 553, 2006, 1014, 1821, 2812, 723, 7372, 9843, 609, 1134, 31465, 10265, 6091, 543, 5230, 24855, 4522, 9862, 585, 11493, 7633, 543, 751, 2130, 998, 5394, 4887, 543, 2960, 563, 7212, 31005, 1014, 1821, 2812, 616, 711, 16857, 267, 789, 3251, 1369, 5266, 1507, 1753, 9832, 543, 666, 2951, 909, 547, 476, 1626, 14790, 513, 3781, 538, 3406, 540, 1426, 563, 307, 553, 2006, 1014, 1821, 2812, 3335, 10536, 519, 8061, 559, 11120, 658, 570, 32214, 8376, 630, 5263, 31813, 264, 1282, 519, 11116, 23752, 9960, 4005, 607, 713, 4483, 571, 1076, 2860, 568, 5293, 998, 3346, 563, 307, 553, 2006, 1014, 1821, 2812, 1034, 1419, 2661, 547, 2947, 26188, 6040, 538, 519, 3552, 267, 855, 789, 666, 2661, 909, 547, 5722, 610, 5216, 1296, 563, 2026, 538, 1082, 546, 6470, 584, 1749, 267, 31005, 1014, 1821, 2812, 4558, 741, 3170, 538, 741, 21217, 563, 307, 553, 2006, 1014, 1821, 2812, 616, 2808, 562, 7572, 766, 2831, 543, 723, 1044, 2808, 13184, 11975, 267, 4352, 891, 25094, 12310, 1491, 1034, 540, 741, 1804, 10352, 538, 519, 1106, 540, 1286, 337, 542, 563, 307, 553, 2006, 1014, 1821, 2812, 723, 513, 6006, 344, 267, 5394, 1606, 564, 267, 2695, 520, 1628, 609, 513, 6960, 880, 267, 3109, 10652, 720, 543, 3043, 24795, 593, 519, 678, 2794, 543, 9221, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 4400, 7779, 6075, 3028, 568, 7923, 1390, 2956, 547, 676, 1082, 267, 855, 2965, 5329, 5561, 6126, 568, 4443, 1767, 982, 2944, 269, 3546, 19255, 11825, 25864, 29153, 547, 519, 9614, 610, 8227, 540, 513, 10685, 4558, 476, 2073, 855, 3079, 786, 10332, 741, 2828, 267, 476, 521, 267, 1071, 22086, 619, 543, 1256, 21046, 269, 15188, 9946, 616, 1419, 519, 2063, 547, 5873, 20286, 267, 543, 1419, 1265, 856, 1152, 950, 741, 2834, 5561, 4749, 979, 547, 741, 15712, 267, 2687, 547, 513, 1353, 24973, 5342, 676, 7638, 1372, 6828, 543, 1733, 691, 517, 3427, 269, 25639, 834, 1805, 800, 8346, 9292, 1206, 21625, 543, 5540, 5561, 2437, 1767, 14529, 3121, 7040, 2284, 267, 5518, 540, 519, 7638, 1372, 6828, 269, 834, 763, 4558, 19380, 519, 6075, 267, 855, 519, 6300, 704, 1590, 849, 1265, 513, 10682, 1701, 2201, 3328, 267, 1169, 29043, 6075, 786, 29153, 547, 693, 2547, 2185, 1866, 267, 543, 786, 1100, 3476, 3643, 519, 1808, 4558, 269, 1280, 1169, 27025, 30829, 6075, 267, 513, 4558, 786, 6336, 909, 547, 1614, 811, 1813, 547, 2942, 2689, 269, 634, 4611, 834, 338, 852, 4252, 1198, 257, 666, 581, 29070, 547, 21625, 269, 3546, 4340, 547, 519, 1382, 267, 6300, 11825, 945, 11751, 7802, 1558, 609, 519, 1034, 2042, 269, 24419, 539, 2034, 543, 3791, 941, 17365, 543, 11418, 5561, 269, 634, 1034, 1455, 20286, 1331, 4904, 18736, 6266, 267, 804, 18636, 1229, 567, 21684, 267, 20358, 539, 986, 4242, 267, 856, 6361, 3613, 1442, 3688, 267, 1279, 2638, 13050, 3515, 267, 543, 678, 8775, 6455, 15161, 269, 3546, 4438, 8445, 10918, 3108, 267, 930, 21625, 12193, 18736, 2042, 676, 3478, 7599, 2775, 532, 567, 2199, 7128, 547, 960, 607, 18736, 7390, 1218, 269, 2368, 21534, 9206, 3649, 951, 547, 1463, 5561, 547, 8900, 18736, 5624, 269, 901, 5583, 4625, 3893, 7759, 540, 519, 991, 585, 5561, 547, 5858, 519, 18736, 2603, 1439, 8393, 267, 543, 14284, 519, 3510, 538, 799, 1896, 5561, 2363, 539, 519, 1482, 18736, 2230, 693, 519, 1482, 942, 269, 3546, 4825, 841, 619, 666, 14867, 519, 14331, 676, 2699, 30472, 532, 4558, 29282, 267, 840, 3613, 12177, 6455, 3688, 267, 17849, 3432, 344, 543, 4810, 6666, 4536, 267, 543, 2348, 6455, 13222, 593, 1688, 547, 2626, 2055, 269, 3546, 4107, 11932, 267, 6455, 15161, 1058, 581, 1434, 693, 7231, 609, 1114, 1004, 543, 2523, 1058, 581, 30251, 609, 14220, 5561, 269, 3546, 834, 14303, 841, 619, 945, 2811, 5363, 543, 7874, 616, 811, 2693, 547, 5347, 936, 2152, 982, 1346, 945, 5749, 1405, 865, 7874, 2437, 1767, 7905, 15537, 670, 5255, 269, 834, 28646, 1945, 607, 2241, 607, 513, 6067, 2678, 693, 519, 4558, 13675, 1131, 948, 1701, 25639, 11426, 619, 666, 849, 2087, 2104, 10918, 2833, 676, 8744, 20286, 547, 519, 10685, 518, 267, 3079, 540, 5360, 8724, 547, 519, 1964, 540, 519, 1158, 269, 898, 781, 7543, 585, 21625, 547, 2087, 950, 789, 723, 1100, 2856, 1018, 568, 4636, 269, 1548, 1281, 14529, 3121, 7040, 2284, 1611, 676, 6031, 834, 1862, 1492, 6300, 704, 1590, 849, 1265, 513, 10682, 257, 630, 303, 4673, 269, 476, 274, 25145, 288, 269, 1715, 5561, 616, 2386, 547, 5372, 2025, 3283, 563, 289, 269, 634, 6300, 704, 12582, 1405, 4444, 782, 2472, 538, 835, 4558, 563, 290, 269, 4107, 8637, 1683, 519, 1482, 2186, 540, 3028, 563, 291, 269, 19255, 11825, 723, 547, 3068, 519, 8373, 540, 4466, 1776, 4558, 563, 12585, 281, 667, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 3143, 12146, 540, 715, 12678, 700, 5366, 32254, 543, 1100, 12146, 540, 590, 1846, 6373, 568, 606, 12146, 540, 12601, 28475, 31165, 15562, 4456, 17269, 302, 269, 898, 568, 711, 519, 2013, 602, 570, 12788, 6441, 320, 1722, 331, 590, 5285, 622, 568, 606, 12146, 540, 12601, 28475, 31165, 15562, 4456, 17269, 302, 269, 3245, 713, 5205, 281, 570, 12788, 6441, 320, 1722, 331, 590, 5285, 622, 568, 606, 12146, 540, 590, 1846, 6373, 610, 606, 12146, 540, 715, 12678, 700, 5366, 32254, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 645, 0, 454, 304, 281, 2201, 519, 6989, 267, 596, 1294, 513, 1305, 540, 3615, 11231, 538, 513, 4737, 281, 513, 751, 531, 1883, 7798, 267, 513, 3276, 326, 1495, 344, 6656, 540, 1957, 267, 513, 4154, 1957, 743, 760, 267, 543, 513, 4012, 31980, 6292, 540, 23475, 28904, 269, 1215, 1082, 1875, 25984, 3615, 798, 596, 1294, 547, 519, 2451, 540, 519, 4012, 31980, 1843, 888, 288, 281, 476, 274, 0, 10890, 281, 1215, 547, 1224, 606, 552, 696, 1449, 269, 17179, 519, 512, 6856, 689, 922, 23240, 12109, 3899, 269, 1684, 713, 1175, 1354, 596, 946, 519, 1449, 282, 519, 12109, 3899, 2337, 2149, 519, 1449, 267, 799, 538, 2490, 14014, 519, 6111, 540, 707, 2164, 907, 15579, 519, 1449, 676, 519, 14853, 17945, 267, 609, 519, 10110, 550, 9133, 15738, 1524, 269, 476, 15579, 519, 552, 4877, 6745, 269, 4530, 781, 10110, 550, 9133, 267, 1869, 15738, 1524, 267, 538, 707, 10729, 6908, 585, 476, 276, 7643, 269, 0, 9223, 281, 5808, 729, 1634, 607, 1412, 763, 4279, 2290, 262, 538, 3345, 1977, 4672, 19735, 888, 12585, 281, 6067, 1206, 5652, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 875, 798, 596, 2285, 2576, 513, 3109, 3750, 888, 288, 269, 5734, 873, 2182, 593, 519, 3750, 1858, 563, 289, 269, 2681, 1472, 741, 3750, 609, 513, 3109, 561, 10719, 563, 12585, 281, 589, 0, 9223, 281, 4477, 545, 16239, 17224, 658, 12875, 10812, 519, 9835, 2052, 12061, 689, 519, 4064, 540, 519, 23914, 269, 589, 8748, 476, 1321, 268, 547, 476, 1428, 18826, 29357, 4663, 786, 865, 541, 998, 519, 666, 27267, 585, 606, 19666, 1995, 540, 8748, 5784, 269, 3776, 19666, 4663, 568, 711, 2139, 9170, 3116, 538, 519, 1158, 256, 32402, 564, 281, 259, 6344, 269, 476, 876, 829, 1268, 267, 7132, 476, 1015, 260, 3454, 269, 7490, 1289, 721, 693, 476, 272, 268, 31229, 268, 279, 6924, 268, 280, 4391, 279, 585, 12119, 3928, 267, 2027, 338, 610, 547, 1433, 676, 6049, 269, 4477, 545, 16239, 5174, 13331, 12875, 4477, 545, 16239, 4663, 6238, 693, 519, 9835, 24258, 267, 4639, 17121, 269, 6875, 513, 476, 275, 267, 1822, 20356, 2887, 547, 519, 12548, 5211, 2630, 269, 4477, 545, 641, 1562, 2887, 476, 275, 267, 1822, 3952, 689, 519, 666, 27267, 2427, 547, 519, 8492, 540, 519, 12548, 5211, 1141, 8436, 666, 2972, 513, 476, 1428, 268, 547, 476, 736, 18826, 10935, 11878, 1524, 519, 12548, 269, 32402, 564, 281, 259, 5611, 269, 476, 876, 829, 1268, 267, 7132, 476, 1015, 260, 3454, 269, 19598, 27158, 4477, 545, 16239, 12875, 15232, 519, 5898, 540, 519, 9835, 2052, 12061, 281, 1924, 541, 1657, 519, 14208, 1478, 12456, 543, 519, 4666, 22747, 269, 1411, 979, 20829, 513, 2929, 1673, 20683, 29357, 609, 782, 4464, 6849, 16295, 3850, 476, 5197, 5232, 540, 5784, 538, 2011, 8410, 1288, 539, 4313, 269, 1411, 786, 1294, 519, 14208, 1478, 12456, 267, 519, 12548, 5211, 267, 519, 9835, 2052, 12061, 543, 811, 256, 1411, 2244, 547, 723, 513, 13084, 27158, 17552, 5371, 12899, 693, 519, 9835, 2052, 12061, 269, 20098, 30988, 23874, 12875, 4477, 545, 16239, 19150, 547, 519, 9835, 24258, 4639, 1331, 513, 8748, 20098, 30988, 7045, 4663, 269, 17224, 658, 8289, 572, 4370, 19150, 23608, 538, 20098, 30988, 267, 21600, 1331, 18198, 5784, 540, 8235, 28927, 267, 519, 15011, 1511, 19164, 267, 543, 519, 7178, 6316, 540, 519, 9835, 24258, 269, 17224, 658, 19150, 1519, 519, 5180, 7552, 607, 1134, 607, 4999, 19150, 4482, 1082, 8436, 269, 6250, 6002, 21945, 693, 519, 670, 783, 777, 2967, 1714, 566, 781, 9835, 2052, 12061, 4639, 23076, 949, 2824, 835, 540, 519, 2238, 1657, 269, 1215, 1454, 1058, 513, 7008, 2628, 585, 513, 29357, 1532, 13331, 4663, 888, 288, 269, 476, 5611, 9489, 563, 289, 269, 476, 13679, 9489, 563, 290, 269, 476, 4968, 9489, 563, 291, 269, 476, 20065, 9489, 563, 12585, 281, 667, 0, 9223, 281, 8080, 547, 519, 1158, 540, 1617, 527, 27965, 4534, 513, 1747, 1141, 519, 2268, 540, 513, 1268, 568, 875, 1082, 6009, 789, 666, 1685, 693, 519, 1482, 942, 269, 769, 1249, 267, 952, 4966, 616, 547, 581, 5156, 267, 1617, 527, 27965, 568, 513, 29070, 2856, 269, 2290, 540, 519, 17837, 540, 1617, 527, 27965, 568, 3220, 269, 1849, 858, 867, 715, 817, 267, 513, 7548, 693, 18628, 2160, 269, 834, 10144, 945, 1617, 527, 2532, 4749, 616, 1447, 2111, 547, 2628, 3007, 282, 789, 2811, 8338, 693, 5883, 741, 3965, 1701, 646, 1767, 269, 769, 1010, 6644, 267, 519, 2530, 602, 649, 1205, 609, 1617, 527, 27965, 568, 20027, 538, 930, 3871, 267, 585, 1383, 267, 851, 540, 3257, 1870, 538, 519, 3059, 1158, 281, 855, 596, 666, 1405, 798, 3978, 960, 899, 1603, 267, 3206, 610, 6061, 606, 1271, 1966, 713, 1259, 269, 1411, 798, 8338, 1256, 607, 596, 1589, 596, 2811, 3257, 1732, 269, 2353, 519, 942, 519, 1382, 2798, 547, 513, 2241, 1249, 281, 519, 2634, 3112, 11883, 269, 1879, 596, 3247, 4571, 3118, 998, 21882, 513, 1867, 547, 2638, 606, 4757, 267, 596, 3196, 707, 2634, 547, 3247, 543, 1036, 4981, 269, 898, 568, 899, 10296, 519, 23249, 7735, 1282, 513, 7260, 267, 2495, 519, 4670, 3217, 3476, 547, 4585, 269, 1656, 607, 585, 3220, 269, 715, 817, 267, 519, 2042, 8831, 3564, 519, 2634, 269, 8479, 1004, 945, 4749, 1617, 527, 2532, 616, 711, 607, 13998, 543, 14156, 2635, 607, 1346, 945, 1810, 1405, 269, 1358, 1175, 1745, 811, 14156, 13854, 543, 519, 4743, 568, 865, 1434, 543, 789, 616, 3808, 547, 7287, 621, 1586, 269, 25595, 11534, 523, 10773, 267, 513, 5856, 1767, 834, 2171, 4312, 1831, 513, 1360, 2110, 3856, 2486, 543, 1810, 1405, 8007, 1004, 585, 2921, 513, 2603, 540, 942, 593, 1945, 1701, 1261, 12194, 649, 949, 1439, 909, 9561, 519, 1985, 5108, 540, 1390, 17024, 269, 834, 2005, 781, 2731, 25031, 1317, 519, 1279, 3856, 2591, 540, 938, 1158, 4534, 2825, 2152, 267, 2883, 2152, 4534, 2154, 1004, 547, 1589, 20617, 827, 519, 1279, 3856, 4539, 540, 1018, 789, 798, 269, 1656, 621, 781, 1100, 14626, 2064, 602, 519, 2186, 540, 1004, 945, 798, 1589, 1279, 3856, 1810, 1405, 1617, 527, 2532, 1701, 4340, 547, 3220, 269, 715, 817, 267, 1617, 527, 27965, 567, 9041, 476, 4586, 288, 269, 2306, 519, 2773, 14156, 4299, 1152, 454, 289, 269, 8309, 547, 8357, 1944, 1585, 1919, 454, 290, 269, 949, 1267, 538, 9561, 519, 1985, 5108, 540, 1390, 17024, 454, 291, 269, 666, 581, 5340, 1210, 3059, 2645, 454, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4544, 7296, 27576, 834, 536, 834, 7296, 4544, 27576, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 23436, 814, 513, 4620, 3032, 3957, 1733, 7416, 619, 269, 1733, 7416, 619, 568, 3109, 609, 513, 3043, 5544, 593, 1200, 9221, 269, 1733, 7416, 619, 849, 814, 3043, 533, 9155, 602, 1413, 899, 2370, 3043, 5378, 29181, 269, 476, 1733, 7416, 619, 15055, 547, 3207, 538, 519, 3141, 593, 1200, 5172, 11381, 269, 1733, 7416, 619, 849, 15055, 547, 4235, 27598, 5144, 269, 476, 23436, 568, 9599, 1317, 593, 14349, 267, 1733, 7416, 619, 7140, 1079, 1296, 2025, 269, 476, 2991, 1153, 593, 11016, 267, 23436, 678, 16640, 547, 519, 4620, 4558, 269, 2701, 6499, 547, 4444, 1733, 7416, 619, 262, 14512, 6799, 269, 7831, 1032, 267, 1352, 5795, 1733, 7416, 619, 513, 1404, 10856, 543, 513, 4544, 13692, 269, 476, 1280, 713, 14512, 267, 23436, 568, 2469, 547, 2285, 1733, 7416, 619, 513, 2699, 3440, 540, 20612, 543, 513, 12826, 609, 513, 4605, 540, 513, 3032, 593, 519, 2427, 269, 634, 4605, 568, 540, 513, 3109, 3032, 269, 898, 5654, 513, 2603, 899, 1733, 7416, 619, 269, 1548, 1281, 1733, 7416, 619, 899, 547, 798, 888, 288, 269, 12619, 538, 519, 3141, 543, 4235, 27598, 5144, 454, 289, 269, 7591, 454, 290, 269, 27276, 454, 291, 269, 12619, 454, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4505, 7422, 1500, 676, 28435, 6929, 19936, 269, 3807, 875, 1454, 4587, 814, 1044, 31713, 2443, 519, 9193, 979, 1394, 547, 476, 273, 267, 4968, 7460, 563, 3086, 17659, 5576, 320, 1030, 518, 267, 606, 31485, 693, 17039, 3557, 2160, 538, 15506, 517, 22748, 613, 267, 3081, 646, 814, 18584, 519, 7422, 547, 476, 272, 267, 24907, 7460, 267, 2285, 610, 1491, 513, 2540, 563, 763, 14342, 2270, 513, 1297, 540, 1114, 7422, 267, 1519, 519, 1554, 1142, 1032, 602, 1978, 20035, 725, 1101, 7902, 538, 519, 21554, 6607, 269, 1452, 7389, 1689, 936, 519, 27453, 1317, 540, 513, 6263, 530, 984, 1076, 538, 519, 3047, 781, 7852, 563, 24679, 781, 899, 513, 2462, 5662, 1688, 538, 519, 6607, 2437, 5576, 320, 1030, 518, 3081, 563, 3528, 4974, 891, 7389, 543, 824, 24666, 1344, 267, 971, 607, 519, 7389, 1978, 20035, 725, 941, 2047, 16841, 267, 5576, 320, 1030, 518, 562, 9229, 1524, 519, 1032, 519, 7403, 941, 3144, 563, 3891, 849, 5249, 856, 602, 519, 3504, 24319, 5030, 1369, 10199, 476, 1911, 21240, 540, 476, 3374, 269, 272, 4113, 715, 2443, 606, 1858, 602, 2882, 519, 3504, 28435, 6929, 4872, 540, 715, 514, 13960, 543, 1306, 584, 269, 634, 2164, 941, 4843, 693, 519, 1977, 13562, 13929, 5980, 781, 4832, 5870, 538, 12968, 565, 21343, 267, 16127, 563, 2414, 5595, 27902, 1010, 7403, 267, 5576, 320, 1030, 518, 1705, 1010, 1378, 7422, 693, 519, 31780, 25076, 538, 519, 16026, 15142, 540, 7147, 269, 13298, 982, 1210, 519, 2616, 2218, 781, 7372, 476, 280, 269, 273, 31475, 516, 16263, 267, 646, 11542, 3544, 543, 575, 18968, 693, 519, 6801, 269, 834, 763, 1655, 3937, 594, 1031, 729, 7725, 547, 1665, 1141, 1250, 3952, 941, 2437, 646, 3081, 563, 32701, 267, 891, 7403, 4847, 1864, 547, 22942, 1010, 1378, 2990, 543, 4266, 811, 10502, 982, 646, 1223, 1346, 540, 519, 28435, 6929, 19936, 269, 1261, 568, 711, 2386, 1946, 1010, 7403, 5249, 1732, 563, 306, 15939, 1030, 518, 781, 960, 786, 948, 7017, 513, 1279, 29280, 7521, 267, 3081, 19555, 2335, 12017, 518, 267, 606, 28435, 686, 6048, 693, 519, 2160, 540, 21499, 538, 15212, 269, 2776, 16227, 267, 12206, 1185, 1759, 741, 7440, 593, 2582, 6801, 610, 20035, 725, 593, 519, 14342, 563, 306, 15939, 1030, 518, 781, 8579, 2079, 540, 782, 519, 7422, 593, 519, 14342, 834, 15884, 23666, 12206, 945, 3112, 798, 519, 1482, 593, 741, 1378, 2443, 1519, 8885, 2580, 12017, 518, 3081, 269, 1261, 8591, 602, 1034, 12206, 723, 12306, 593, 513, 11315, 4266, 540, 476, 272, 267, 1822, 7460, 585, 519, 14342, 267, 799, 23216, 1134, 609, 5576, 320, 1030, 518, 781, 2079, 563, 20684, 689, 281, 5291, 2517, 4178, 8542, 1155, 2593, 30406, 270, 1220, 278, 270, 271, 3583, 276, 2764, 270, 21459, 270, 271, 3583, 276, 2764, 268, 1556, 11258, 454, 30238, 5240, 689, 938, 13571, 8525, 454, 27398, 1772, 670, 4575, 19672, 540, 918, 14525, 966, 6856, 4469, 534, 12298, 781, 2494, 28685, 334, 3267, 263, 300, 755, 2142, 700, 8636, 1229, 2060, 27565, 31666, 7701, 994, 298, 14525, 966, 6856, 4469, 534, 12298, 729, 513, 2462, 15525, 1139, 7163, 563, 3719, 267, 596, 8910, 2760, 917, 621, 689, 519, 12666, 2923, 563, 763, 2923, 568, 15720, 4469, 534, 12298, 779, 2797, 10709, 902, 689, 519, 1977, 1857, 563, 27398, 814, 2943, 547, 5305, 4469, 534, 12298, 779, 8915, 334, 563, 2005, 1590, 581, 1396, 339, 1229, 609, 19849, 23035, 12666, 18259, 563, 763, 570, 520, 2401, 4080, 267, 3842, 2382, 777, 1495, 527, 912, 10521, 2395, 3516, 267, 13235, 5240, 4080, 602, 966, 6856, 4469, 534, 12298, 267, 519, 15294, 19907, 540, 1079, 654, 24174, 297, 5520, 267, 2366, 513, 476, 2537, 22240, 4429, 288, 755, 6319, 267, 8644, 5984, 1293, 4666, 607, 1297, 540, 20404, 15385, 11335, 865, 1513, 454, 288, 755, 6319, 1767, 593, 11016, 476, 10170, 15076, 1519, 513, 4816, 8004, 941, 1336, 4666, 538, 606, 14460, 29606, 14903, 267, 1247, 8644, 5984, 16626, 519, 4703, 540, 476, 11025, 20404, 18233, 11849, 648, 1310, 741, 32036, 4765, 10935, 521, 1678, 593, 922, 1259, 547, 2342, 543, 8464, 811, 941, 21787, 4666, 563, 763, 772, 12991, 269, 21345, 8116, 1767, 519, 1297, 540, 15076, 543, 20404, 15385, 519, 11335, 547, 3914, 2342, 4429, 26296, 8648, 595, 8712, 1280, 589, 2513, 5109, 22418, 454, 3916, 3215, 2168, 9304, 2556, 547, 2285, 3844, 8492, 811, 1379, 454, 763, 11038, 8648, 814, 3370, 606, 20822, 2376, 799, 7125, 585, 519, 20552, 540, 6666, 538, 1931, 547, 2285, 3844, 8492, 543, 6608, 811, 1379, 563, 22209, 12822, 634, 2013, 585, 1427, 3931, 1776, 2048, 8663, 8663, 748, 882, 545, 8730, 519, 2376, 561, 14613, 519, 1249, 602, 1004, 616, 6006, 335, 4979, 6666, 538, 24736, 540, 1776, 2804, 12900, 267, 513, 3815, 799, 4429, 306, 8538, 1014, 2229, 536, 753, 4550, 2173, 817, 11776, 17600, 267, 543, 4566, 6619, 585, 2527, 11776, 454, 10468, 2692, 329, 21542, 853, 1030, 534, 990, 545, 267, 28993, 779, 25181, 10579, 1767, 1486, 22246, 945, 616, 7255, 827, 968, 534, 9167, 1544, 892, 547, 7017, 5215, 540, 10363, 11082, 883, 519, 2197, 267, 786, 711, 581, 4847, 547, 5639, 741, 4145, 538, 513, 13889, 15292, 593, 11728, 267, 476, 4029, 560, 540, 4864, 563, 14071, 786, 711, 1450, 519, 4082, 540, 22166, 543, 23998, 547, 581, 1945, 602, 568, 8984, 540, 28993, 892, 1767, 853, 1030, 534, 990, 545, 563, 10527, 12080, 4429, 30051, 12134, 9365, 547, 4894, 1412, 2350, 626, 262, 4550, 2173, 580, 7949, 9708, 454, 3891, 27323, 8575, 553, 267, 5125, 781, 5126, 14012, 267, 3081, 1514, 3060, 1058, 4894, 30542, 2684, 11131, 9708, 538, 519, 1482, 1259, 621, 9388, 609, 562, 644, 640, 454, 30051, 568, 10912, 593, 9365, 547, 4894, 968, 343, 523, 2684, 11131, 543, 22457, 892, 4550, 2173, 580, 7949, 9708, 689, 922, 3896, 543, 8924, 563, 3891, 27323, 8575, 553, 267, 519, 4436, 5126, 14012, 267, 814, 2854, 547, 519, 2754, 547, 3747, 606, 14849, 2689, 540, 922, 3609, 936, 13842, 6835, 563, 2108, 21900, 657, 540, 1978, 4429, 347, 5415, 5240, 9732, 1923, 0, 10890, 2360, 540, 14933, 454, 1475, 1607, 2376, 2115, 811, 2564, 8100, 585, 19027, 610, 12346, 1932, 8185, 593, 3119, 2959, 269, 630, 20606, 476, 1001, 274, 10245, 763, 1072, 2360, 540, 14933, 723, 1044, 14916, 6594, 269, 595, 25377, 710, 8013, 569, 29620, 1114, 20722, 27343, 13364, 267, 7551, 6721, 7646, 3844, 8401, 1062, 8102, 656, 2360, 269, 10374, 2165, 2427, 2360, 971, 607, 15677, 267, 15353, 267, 543, 4160, 723, 1044, 3254, 607, 2589, 540, 7646, 14933, 4616, 269, 595, 25377, 710, 849, 22262, 13487, 4887, 267, 6001, 525, 5347, 4887, 267, 4679, 23441, 5728, 687, 267, 543, 7472, 1019, 999, 529, 563, 268, 476, 272, 24768, 640, 543, 883, 343, 1709, 454, 268, 476, 273, 12186, 593, 1114, 3252, 454, 268, 476, 274, 10374, 3856, 2360, 454, 268, 476, 275, 7043, 3856, 2360, 454, 268, 476, 276, 2060, 9526, 531, 454, 268, 476, 277, 32505, 454, 268, 476, 278, 6356, 540, 4568, 593, 14933, 454, 268, 476, 279, 6356, 540, 30375, 13950, 4332, 1852, 593, 14933, 454, 268, 476, 280, 6423, 849, 454, 268, 476, 1015, 22108, 454, 268, 476, 1556, 24498, 6402, 454, 307, 16464, 640, 543, 883, 343, 1709, 454, 19064, 334, 2581, 532, 676, 14933, 2008, 347, 12218, 2305, 543, 5007, 2200, 2008, 16085, 2133, 1399, 1475, 655, 1120, 1890, 4915, 267, 2618, 17226, 267, 2618, 17226, 2008, 290, 25377, 710, 17219, 666, 1459, 607, 513, 8552, 540, 4791, 2589, 269, 4107, 540, 891, 22132, 538, 519, 3844, 8401, 543, 30057, 1949, 543, 666, 1246, 28453, 540, 476, 272, 326, 610, 811, 540, 14933, 269, 6184, 17410, 267, 7362, 16531, 543, 10761, 3356, 532, 547, 7646, 1642, 597, 1756, 949, 581, 2938, 269, 11576, 800, 18063, 267, 1019, 999, 529, 267, 512, 778, 344, 15258, 807, 267, 16312, 6470, 560, 3421, 267, 543, 11506, 6711, 725, 607, 1134, 607, 13481, 13251, 676, 14984, 23441, 16698, 666, 581, 1459, 269, 674, 7614, 885, 540, 14933, 15464, 616, 4686, 1317, 519, 23441, 16698, 543, 13481, 1020, 1354, 10338, 540, 6757, 5666, 666, 2049, 269, 28611, 267, 14933, 568, 6385, 543, 4625, 12842, 689, 519, 16063, 8778, 609, 3892, 538, 1585, 8031, 538, 16977, 8167, 547, 741, 1216, 1543, 269, 1230, 341, 6160, 687, 1267, 689, 519, 3844, 18398, 1198, 609, 2669, 3361, 676, 7929, 5821, 269, 15214, 16744, 20945, 543, 11337, 517, 22202, 2404, 609, 14933, 17219, 723, 1044, 4080, 269, 1452, 8545, 4681, 949, 581, 11911, 547, 513, 2566, 5114, 610, 519, 1535, 13183, 710, 779, 2702, 547, 17932, 519, 10894, 2360, 540, 519, 25108, 3273, 26952, 1519, 9067, 565, 1736, 267, 25026, 4094, 565, 1736, 543, 6722, 821, 14003, 269, 1323, 8650, 30072, 540, 14933, 2356, 538, 4430, 540, 827, 476, 4968, 31501, 267, 8200, 593, 1560, 2597, 543, 1377, 540, 14933, 10892, 267, 666, 1267, 538, 513, 1533, 540, 3844, 8401, 1062, 936, 3613, 574, 1637, 1572, 14933, 883, 343, 1709, 267, 610, 30351, 6053, 519, 834, 322, 25377, 710, 795, 527, 1562, 2668, 634, 11667, 24037, 9570, 630, 17162, 2004, 264, 2016, 30375, 267, 568, 476, 4572, 31501, 829, 11304, 538, 14148, 269, 634, 31298, 2004, 540, 14933, 538, 3425, 568, 8200, 593, 2597, 543, 1367, 8417, 543, 6059, 547, 581, 827, 476, 5611, 547, 476, 1220, 31501, 829, 11304, 540, 1560, 2527, 267, 10199, 476, 3199, 547, 476, 1911, 11680, 540, 6995, 585, 606, 3328, 2937, 3144, 1369, 513, 3908, 942, 7406, 602, 568, 8200, 593, 3368, 3734, 269, 1280, 3606, 1344, 1294, 281, 595, 25377, 710, 563, 22546, 338, 593, 1114, 3252, 454, 9824, 725, 1222, 1063, 14933, 543, 20722, 27343, 454, 763, 12880, 7271, 540, 2962, 540, 14933, 568, 519, 21087, 1143, 540, 20722, 27343, 13364, 269, 1520, 523, 27343, 568, 513, 12725, 5950, 1625, 710, 9449, 602, 6411, 593, 1114, 13364, 630, 288, 272, 543, 589, 273, 264, 602, 666, 2333, 610, 6175, 10408, 9830, 540, 28023, 589, 6573, 630, 322, 21283, 1040, 1520, 523, 27343, 29620, 20722, 2643, 7814, 848, 3842, 1164, 25505, 630, 288, 272, 264, 13364, 543, 22262, 20722, 2643, 7814, 848, 3842, 1970, 25505, 630, 288, 273, 264, 13364, 269, 1520, 523, 27343, 13364, 616, 1336, 2429, 519, 1560, 1519, 519, 2634, 267, 538, 519, 9025, 267, 7929, 267, 17669, 543, 16063, 1062, 543, 538, 28539, 846, 5160, 269, 595, 25377, 710, 1875, 572, 937, 1947, 7161, 1312, 20722, 27343, 13364, 543, 8013, 569, 29620, 519, 3527, 540, 20722, 27343, 269, 1520, 523, 27343, 6411, 1095, 2106, 2194, 1227, 547, 21391, 27090, 5305, 540, 1035, 25485, 3273, 710, 267, 562, 648, 18090, 31058, 267, 22006, 267, 18325, 11254, 855, 344, 878, 3679, 543, 22515, 269, 1520, 523, 27343, 849, 6971, 21245, 20590, 540, 11409, 538, 1082, 4525, 540, 519, 2634, 799, 7472, 6822, 566, 543, 814, 1884, 6625, 341, 6160, 656, 2534, 269, 595, 25377, 710, 13847, 562, 648, 18090, 31058, 267, 22006, 267, 22515, 543, 22965, 600, 622, 538, 519, 2634, 543, 4679, 21883, 524, 622, 3273, 26952, 5812, 609, 30729, 540, 519, 7409, 7480, 2360, 540, 20722, 27343, 593, 891, 1949, 563, 1692, 14933, 530, 1841, 1055, 546, 4900, 1465, 454, 290, 25377, 710, 21087, 3278, 20722, 27343, 589, 273, 288, 13364, 538, 519, 5887, 1503, 8632, 840, 641, 6776, 1858, 630, 309, 10861, 302, 1070, 7551, 1802, 1424, 7409, 7480, 717, 29866, 5778, 10520, 3939, 547, 519, 16321, 558, 2459, 16736, 13540, 267, 513, 1277, 3133, 21544, 16879, 13540, 602, 11852, 1673, 2570, 1836, 8992, 3207, 563, 290, 25377, 710, 666, 2333, 1973, 2604, 282, 1279, 2165, 4616, 693, 18481, 1164, 13066, 814, 1044, 2404, 609, 5312, 27555, 20765, 269, 10552, 2604, 4679, 616, 25358, 676, 20722, 27343, 13805, 21087, 1143, 269, 595, 25377, 710, 666, 2014, 21729, 27019, 560, 9689, 269, 898, 568, 15458, 952, 14933, 3123, 2799, 2295, 2557, 607, 513, 2427, 1198, 269, 634, 2702, 585, 14933, 543, 519, 19780, 710, 547, 16578, 1019, 999, 529, 543, 562, 27074, 999, 529, 568, 1134, 3964, 269, 24334, 543, 14933, 666, 1860, 16063, 2138, 1006, 543, 23441, 3679, 21131, 563, 8448, 2360, 1331, 912, 268, 8899, 13066, 540, 14933, 2014, 2799, 10332, 1145, 543, 8519, 9854, 563, 268, 595, 25377, 710, 4679, 519, 10894, 2557, 563, 268, 595, 25377, 710, 666, 2333, 1973, 2604, 538, 1875, 3620, 629, 3770, 6800, 269, 4400, 1973, 2604, 568, 2404, 609, 606, 2333, 538, 18116, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 763, 4216, 454, 332, 697, 1413, 5594, 1114, 1107, 1810, 1406, 454, 2280, 602, 3247, 596, 8627, 994, 1607, 568, 513, 3532, 3406, 543, 596, 454, 15884, 6157, 991, 547, 1451, 875, 547, 454, 333, 5535, 1524, 707, 2164, 547, 3077, 454, 6343, 596, 991, 269, 1809, 267, 540, 1576, 2676, 7474, 779, 1018, 713, 1576, 568, 782, 454, 2252, 596, 616, 1152, 3168, 585, 2835, 610, 23861, 338, 267, 596, 666, 849, 4945, 593, 519, 454, 12218, 545, 18280, 690, 3095, 269, 634, 7913, 8249, 3095, 786, 1491, 596, 547, 606, 454, 531, 8224, 673, 1592, 540, 2959, 585, 4930, 267, 26353, 560, 528, 2592, 267, 3059, 4704, 454, 332, 17467, 267, 543, 8579, 5907, 2200, 563, 4131, 779, 1491, 513, 4090, 454, 1729, 2263, 875, 454, 4103, 269, 898, 568, 10416, 454, 821, 5458, 4994, 540, 454, 322, 7614, 690, 543, 782, 938, 454, 3383, 267, 950, 596, 1826, 538, 1945, 899, 2518, 454, 342, 9879, 519, 1062, 568, 10478, 998, 454, 718, 1346, 2200, 547, 3142, 596, 1394, 513, 454, 29798, 1592, 540, 1018, 649, 723, 602, 13292, 454, 4322, 2164, 786, 581, 6537, 689, 3688, 538, 454, 712, 25839, 18280, 690, 267, 630, 9248, 543, 23861, 338, 267, 552, 20486, 1070, 543, 689, 4930, 3370, 538, 454, 338, 3273, 8765, 13746, 543, 2442, 17476, 563, 4131, 779, 1491, 513, 1413, 7498, 4131, 779, 1376, 609, 519, 454, 763, 25839, 18280, 690, 454, 263, 6518, 666, 849, 581, 454, 572, 2117, 1117, 14384, 264, 786, 454, 19651, 596, 1018, 3688, 519, 454, 293, 2632, 2548, 928, 7732, 22595, 454, 663, 1141, 596, 666, 1265, 454, 763, 674, 2632, 2548, 928, 7732, 8075, 936, 476, 4817, 267, 1822, 2168, 3688, 454, 10175, 2835, 267, 13746, 1299, 17476, 267, 2575, 7131, 338, 267, 9413, 454, 6357, 1054, 3872, 543, 2442, 1070, 6437, 2326, 543, 811, 563, 2171, 10891, 891, 3688, 1210, 519, 7732, 540, 6837, 454, 12218, 2305, 3590, 630, 9448, 11910, 10606, 1040, 1677, 1265, 513, 1433, 610, 454, 1278, 6221, 593, 519, 15808, 596, 3580, 991, 519, 1289, 1297, 585, 602, 6221, 454, 7474, 568, 7396, 538, 519, 17048, 563, 19445, 8249, 910, 15080, 454, 293, 2632, 2548, 928, 17188, 513, 20478, 13927, 547, 581, 2111, 547, 2709, 454, 17739, 547, 3875, 3059, 2200, 269, 1452, 1331, 2376, 454, 663, 808, 4306, 3036, 616, 454, 19968, 11905, 543, 454, 29715, 3095, 547, 1152, 454, 28205, 2200, 568, 454, 12988, 547, 2518, 8337, 7498, 2791, 786, 2356, 1376, 609, 513, 20438, 3406, 267, 855, 581, 454, 10277, 602, 596, 723, 824, 3681, 269, 1403, 596, 917, 519, 454, 10461, 610, 2140, 596, 616, 3168, 585, 1107, 1376, 972, 563, 4131, 779, 1491, 513, 6251, 454, 19972, 693, 1585, 454, 1636, 687, 540, 713, 454, 24342, 910, 19382, 28758, 454, 2791, 3580, 5469, 267, 1101, 540, 782, 267, 602, 649, 723, 476, 10204, 267, 1822, 32504, 29798, 4534, 1259, 1932, 1082, 547, 3406, 998, 269, 1924, 454, 933, 786, 991, 547, 798, 930, 32560, 540, 938, 454, 29798, 547, 1118, 713, 4052, 563, 763, 6402, 2630, 786, 948, 596, 798, 602, 269, 1703, 454, 732, 3875, 2638, 10833, 602, 596, 666, 2824, 454, 1729, 948, 596, 1445, 707, 3406, 543, 3489, 1152, 454, 6343, 596, 991, 269, 1809, 1101, 267, 596, 723, 547, 723, 454, 16341, 2856, 540, 1018, 596, 991, 563, 6701, 596, 3168, 585, 4930, 1152, 286, 6744, 1055, 454, 2252, 596, 20801, 2417, 1524, 713, 6241, 269, 1411, 3580, 454, 4134, 16225, 6266, 540, 824, 3681, 607, 1134, 563, 12812, 22352, 2899, 596, 4076, 1500, 707, 454, 24342, 1107, 4741, 28758, 454, 288, 2656, 16145, 1524, 519, 454, 29798, 1592, 786, 1397, 602, 519, 454, 14140, 6221, 568, 513, 3883, 543, 519, 454, 16149, 568, 513, 11473, 269, 1452, 454, 545, 976, 666, 581, 3730, 547, 2285, 454, 9767, 606, 7650, 540, 1018, 596, 454, 17647, 27366, 269, 4033, 24069, 454, 514, 2850, 14288, 4750, 2676, 20540, 673, 267, 26496, 267, 543, 454, 21158, 267, 1851, 1866, 563, 763, 15454, 3046, 2630, 519, 6221, 454, 27583, 568, 1141, 596, 666, 1569, 454, 1492, 6221, 269, 1280, 2835, 543, 454, 1278, 3688, 689, 938, 17048, 2676, 10472, 786, 581, 513, 3095, 547, 519, 454, 322, 7614, 690, 2594, 269, 1280, 4930, 2676, 527, 786, 581, 1569, 547, 2407, 17856, 952, 454, 24342, 1107, 9406, 28758, 454, 763, 1318, 6241, 786, 2356, 1331, 1022, 454, 30502, 11341, 547, 707, 3406, 269, 1452, 616, 454, 24030, 585, 1210, 538, 707, 4574, 543, 454, 19350, 602, 267, 16952, 8249, 786, 454, 25075, 728, 596, 6402, 540, 824, 3059, 454, 637, 1545, 602, 616, 3015, 547, 596, 855, 454, 732, 711, 3769, 538, 519, 20570, 9612, 563, 8138, 3650, 902, 630, 27270, 267, 7351, 454, 18128, 757, 267, 3092, 4700, 948, 4766, 1018, 596, 786, 454, 22772, 593, 891, 6402, 563, 24342, 1107, 7151, 281, 3883, 454, 1607, 568, 519, 2594, 540, 513, 1433, 1107, 519, 1101, 6221, 593, 519, 2164, 1592, 630, 5408, 519, 12835, 538, 519, 454, 3847, 2427, 540, 519, 2594, 1040, 634, 2594, 2488, 811, 1344, 827, 713, 6221, 910, 20428, 338, 267, 4033, 22439, 267, 12937, 610, 11872, 267, 952, 1022, 563, 26183, 22814, 2982, 1141, 538, 519, 7732, 519, 1433, 666, 581, 1336, 563, 763, 595, 17920, 12971, 786, 581, 2877, 538, 922, 30810, 547, 1265, 519, 1433, 538, 519, 15808, 563, 4306, 2969, 4785, 6645, 596, 1141, 519, 1433, 568, 1318, 1631, 269, 968, 13510, 9005, 892, 1797, 621, 1058, 581, 454, 338, 9231, 593, 519, 15808, 269, 8074, 602, 596, 666, 6494, 513, 1257, 5048, 547, 707, 6049, 609, 454, 10472, 1344, 1107, 7168, 3579, 2336, 1103, 713, 1383, 267, 707, 1985, 1900, 1131, 581, 547, 979, 547, 519, 1858, 540, 519, 7732, 9138, 454, 8974, 19715, 267, 971, 607, 13129, 610, 476, 273, 526, 4469, 3233, 267, 543, 1413, 585, 519, 1433, 2336, 1432, 952, 596, 991, 513, 454, 1504, 543, 666, 1406, 1265, 621, 454, 514, 519, 674, 2632, 2548, 928, 454, 293, 2632, 2548, 928, 568, 851, 540, 513, 454, 19616, 10292, 4785, 269, 634, 476, 4792, 32504, 331, 2320, 2456, 538, 713, 1895, 454, 17647, 8815, 547, 2671, 454, 637, 1545, 609, 1142, 454, 19616, 10292, 4785, 568, 1016, 323, 22866, 883, 4130, 13421, 269, 674, 2632, 2548, 928, 568, 538, 519, 454, 289, 5090, 2471, 12440, 269, 1411, 3580, 991, 547, 917, 602, 1344, 950, 596, 454, 7528, 652, 513, 1433, 689, 17834, 10292, 4785, 269, 1411, 666, 3406, 519, 22331, 9233, 540, 782, 476, 4792, 32504, 331, 2320, 2456, 693, 519, 1482, 942, 676, 14467, 593, 519, 17834, 10292, 4785, 18280, 690, 3095, 454, 3724, 593, 707, 2164, 1592, 563, 26473, 20535, 513, 17834, 10292, 4785, 1433, 454, 15507, 532, 538, 519, 17834, 10292, 4785, 17048, 1568, 519, 1482, 607, 538, 519, 454, 293, 2632, 2548, 928, 17048, 269, 4495, 596, 723, 1336, 513, 1433, 596, 1616, 547, 454, 4011, 992, 267, 4945, 593, 519, 32369, 3095, 269, 589, 1007, 5496, 786, 2408, 563, 263, 293, 2632, 2548, 928, 781, 12440, 264, 689, 454, 1492, 6749, 1524, 4216, 543, 454, 28781, 4427, 2466, 26361, 454, 22033, 269, 3973, 4283, 454, 20365, 2012, 543, 674, 2632, 2548, 928, 454, 2839, 1948, 4553, 676, 513, 3854, 674, 454, 9217, 4318, 1421, 11277, 27174, 293, 264, 547, 20301, 454, 7474, 596, 616, 513, 674, 2632, 2548, 928, 454, 293, 2632, 2548, 928, 607, 519, 4584, 909, 454, 331, 6327, 269, 4427, 2466, 519, 454, 7528, 652, 543, 596, 786, 454, 516, 576, 633, 513, 21533, 602, 454, 20365, 7662, 786, 581, 454, 7312, 7662, 585, 15332, 519, 1153, 19235, 2433, 15819, 519, 6905, 3506, 543, 2407, 454, 338, 16291, 989, 31789, 1315, 2051, 22220, 595, 636, 2719, 729, 3811, 563, 2005, 655, 16761, 689, 631, 2207, 299, 2562, 454, 7312, 7662, 786, 581, 9447, 547, 674, 2632, 2548, 928, 2160, 267, 7732, 693, 19836, 2839, 294, 2464, 950, 621, 454, 16100, 585, 606, 552, 17733, 538, 707, 674, 2632, 2548, 928, 552, 17733, 2272, 950, 454, 1492, 6221, 568, 2139, 585, 4584, 1575, 693, 519, 19449, 27218, 30325, 563, 27039, 593, 1141, 519, 1433, 568, 4947, 689, 267, 621, 1058, 454, 1551, 633, 538, 827, 476, 273, 268, 275, 2395, 269, 11910, 519, 19449, 27218, 30325, 952, 596, 454, 17647, 1022, 2055, 563, 26473, 20535, 2835, 689, 17834, 10292, 4785, 568, 513, 1390, 1259, 547, 1205, 454, 332, 17467, 950, 519, 674, 2632, 2548, 928, 7732, 3085, 1406, 723, 454, 1410, 18075, 1018, 596, 991, 269, 4595, 972, 513, 930, 1857, 454, 331, 2320, 2456, 538, 17834, 10292, 4785, 267, 596, 666, 1205, 2442, 5708, 607, 1134, 2336, 24342, 1107, 7151, 281, 15080, 454, 2080, 568, 606, 2376, 689, 606, 454, 659, 27854, 4760, 269, 2142, 3222, 454, 7474, 1281, 10691, 1611, 713, 454, 13757, 1044, 9263, 24595, 563, 263, 5415, 593, 9263, 21623, 538, 454, 9556, 2544, 476, 277, 269, 3807, 512, 3089, 602, 538, 454, 1492, 1394, 540, 707, 2212, 585, 454, 2080, 568, 1018, 596, 616, 3168, 454, 17138, 540, 2376, 454, 12041, 267, 4750, 2140, 267, 4266, 3370, 454, 20082, 630, 8999, 4424, 264, 540, 519, 2376, 454, 20428, 338, 540, 713, 2376, 454, 29791, 547, 2407, 1257, 540, 519, 2376, 454, 12812, 593, 7300, 9509, 7956, 547, 1569, 519, 454, 6546, 1058, 1205, 596, 3323, 1210, 20570, 9612, 563, 2026, 2141, 267, 952, 596, 616, 11821, 610, 2348, 2042, 609, 713, 2676, 921, 848, 3346, 707, 14357, 610, 2097, 3643, 519, 7732, 543, 2307, 454, 821, 540, 519, 13129, 20157, 12579, 593, 10279, 547, 2285, 596, 811, 1469, 563, 1432, 3116, 666, 594, 1265, 538, 519, 454, 763, 5399, 849, 814, 9413, 630, 28236, 2442, 10643, 1070, 3434, 2835, 2676, 7224, 12069, 267, 552, 22345, 619, 630, 30747, 956, 267, 715, 23697, 1299, 28632, 674, 2231, 1070, 543, 3381, 454, 31521, 2139, 585, 2638, 856, 269, 2052, 1406, 1265, 1018, 596, 2461, 3168, 454, 1721, 286, 7490, 2307, 721, 256, 0, 12867, 3494, 789, 723, 1500, 513, 14634, 538, 519, 5868, 540, 15110, 2295, 2175, 267, 1310, 3384, 513, 4028, 267, 2241, 1973, 1449, 602, 8308, 666, 3713, 782, 1634, 6090, 2404, 609, 971, 4713, 269, 634, 1007, 1973, 1449, 666, 3713, 476, 14690, 1634, 6090, 585, 15110, 2295, 2175, 267, 2161, 3173, 563, 1103, 519, 4750, 540, 31292, 25927, 1049, 3194, 267, 3173, 689, 519, 5177, 543, 14135, 7866, 875, 519, 1449, 1107, 1572, 519, 22427, 306, 697, 9315, 1470, 14938, 9760, 14173, 1107, 666, 2697, 476, 14690, 6090, 1644, 547, 476, 1704, 15110, 2295, 2175, 269, 1452, 2175, 1331, 513, 20294, 11896, 2068, 267, 7293, 2295, 2068, 267, 1279, 543, 2110, 1627, 307, 6794, 267, 715, 3019, 534, 6794, 267, 22686, 693, 7434, 27417, 20746, 543, 1034, 6315, 3912, 13771, 625, 563, 1103, 615, 1243, 2295, 2175, 616, 3361, 676, 5444, 13592, 602, 723, 1044, 5293, 1524, 689, 14077, 269, 1403, 513, 3993, 19299, 835, 540, 891, 25768, 6090, 267, 972, 568, 513, 476, 2004, 260, 4960, 602, 789, 786, 1780, 519, 15817, 593, 547, 741, 1126, 563, 4407, 621, 568, 2009, 547, 723, 835, 540, 891, 5444, 13592, 543, 2760, 1020, 519, 2404, 2295, 2783, 267, 519, 5444, 3648, 4679, 1981, 585, 519, 4524, 563, 7049, 2045, 4152, 568, 1883, 547, 7114, 971, 13592, 267, 7175, 2038, 5868, 540, 15110, 2295, 2175, 543, 3850, 2550, 547, 1491, 3268, 547, 2539, 741, 1981, 540, 6727, 2669, 689, 971, 4713, 563, 3719, 2687, 547, 1291, 11001, 3220, 269, 6276, 654, 732, 267, 540, 519, 2817, 9839, 543, 25016, 4659, 693, 519, 631, 13612, 11916, 7070, 10418, 693, 15875, 5441, 5507, 267, 5177, 267, 1699, 4719, 4255, 616, 1152, 5827, 540, 7114, 1507, 2338, 540, 6090, 267, 799, 1797, 789, 1419, 26777, 5444, 13592, 602, 1223, 581, 1883, 585, 23235, 606, 15110, 2295, 2783, 563, 27745, 519, 22427, 306, 697, 9315, 1470, 14938, 9760, 14173, 2232, 713, 1966, 888, 26108, 1449, 4857, 782, 5444, 13592, 609, 909, 547, 476, 1911, 260, 6111, 454, 763, 1007, 1449, 1031, 1985, 22831, 15971, 547, 8195, 2697, 476, 14690, 6090, 1634, 547, 2333, 519, 1981, 540, 476, 1704, 15110, 2295, 2175, 269, 898, 1568, 676, 7421, 519, 5027, 538, 2550, 685, 1973, 5439, 563, 7804, 269, 654, 732, 543, 9164, 12290, 519, 7145, 540, 519, 1449, 538, 519, 1007, 1353, 676, 1210, 621, 547, 5659, 519, 1973, 5439, 540, 476, 4097, 279, 5171, 689, 519, 2817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 7789, 8163, 267, 8654, 267, 543, 8628, 5122, 2533, 538, 513, 2497, 563, 1692, 616, 11443, 12222, 1224, 888, 763, 5122, 1085, 24136, 616, 1224, 689, 2451, 547, 1318, 267, 610, 689, 1283, 547, 5377, 269, 901, 568, 1271, 547, 1205, 1318, 267, 607, 519, 5365, 4287, 2982, 519, 2095, 540, 1699, 538, 519, 5547, 269, 898, 568, 1287, 2241, 585, 513, 3593, 547, 1174, 950, 972, 568, 513, 14842, 538, 519, 1576, 540, 519, 5547, 563, 1692, 798, 596, 2638, 856, 5122, 5911, 2338, 888, 2304, 5122, 10814, 568, 19040, 676, 1079, 2338, 9674, 676, 513, 3834, 1156, 267, 971, 607, 476, 1691, 268, 273, 269, 634, 1360, 1101, 1297, 4564, 519, 18364, 779, 15378, 282, 519, 2034, 4564, 519, 1297, 540, 26423, 3330, 519, 10814, 269, 476, 1691, 268, 273, 814, 1079, 476, 1691, 3766, 879, 613, 26423, 281, 513, 3905, 543, 513, 9243, 563, 1692, 798, 596, 1224, 5911, 2450, 12125, 888, 310, 790, 12238, 2471, 2039, 689, 1970, 2338, 547, 1164, 2338, 267, 609, 4130, 2338, 10503, 4130, 5603, 4394, 543, 3677, 2338, 8204, 3677, 7306, 269, 1280, 3236, 267, 32217, 294, 476, 275, 568, 476, 271, 269, 14225, 274, 6279, 538, 8006, 267, 543, 32217, 294, 476, 2412, 568, 269, 476, 19740, 272, 6279, 538, 2450, 563, 1692, 568, 5911, 22921, 888, 13563, 18514, 717, 879, 613, 630, 288, 310, 294, 264, 568, 519, 3044, 1259, 547, 2099, 5911, 2450, 538, 3345, 3013, 269, 769, 32217, 294, 267, 519, 8273, 519, 1297, 267, 519, 4130, 519, 5911, 8006, 543, 5860, 269, 634, 7887, 3044, 2450, 568, 476, 1822, 271, 32217, 294, 267, 543, 476, 2412, 32217, 294, 568, 519, 17646, 5006, 3044, 2450, 563, 3963, 798, 649, 2154, 11443, 12222, 888, 288, 11443, 6516, 568, 1419, 8246, 547, 7816, 2152, 543, 547, 1118, 1978, 602, 782, 519, 4296, 723, 1044, 1500, 799, 3388, 568, 1459, 563, 6701, 782, 11443, 12222, 519, 1482, 888, 310, 3931, 12222, 1522, 1246, 1585, 4441, 4470, 593, 519, 4182, 789, 616, 2469, 547, 581, 8246, 269, 1358, 949, 723, 1114, 6272, 4470, 2390, 519, 2754, 543, 519, 14704, 945, 568, 3384, 602, 269, 1358, 849, 949, 581, 6537, 676, 1114, 10566, 4696, 3301, 971, 607, 661, 12195, 3198, 610, 29772, 5122, 563, 1432, 568, 519, 28176, 3898, 888, 288, 28176, 267, 610, 28176, 6516, 267, 568, 513, 6041, 540, 519, 2609, 540, 513, 1062, 9001, 7493, 267, 8642, 6698, 2864, 982, 10853, 6337, 563, 1432, 568, 519, 3017, 538, 1063, 513, 28176, 543, 11443, 6516, 888, 763, 28176, 6516, 1281, 711, 1397, 519, 4052, 4276, 538, 1063, 519, 3334, 610, 741, 2990, 269, 898, 2882, 1152, 6698, 543, 3515, 269, 589, 11443, 6516, 568, 513, 20902, 3182, 3645, 6041, 540, 606, 5122, 5547, 269, 634, 2694, 616, 6719, 9001, 29765, 5546, 538, 11443, 12222, 563, 1692, 798, 596, 1224, 6174, 11443, 12222, 888, 288, 6174, 11443, 6516, 568, 513, 4786, 269, 1677, 1224, 621, 267, 5431, 519, 5547, 538, 2243, 543, 4358, 693, 922, 1379, 2707, 267, 1246, 621, 547, 519, 2666, 269, 2422, 519, 10828, 547, 1174, 1018, 1142, 3090, 593, 519, 5547, 1797, 269, 0, 30789, 707, 5520, 2922, 568, 513, 1590, 950, 596, 2461, 4881, 513, 1870, 267, 543, 835, 540, 519, 1655, 2081, 547, 2327, 741, 3106, 950, 6849, 9036, 10898, 568, 609, 3106, 1239, 9212, 269, 2859, 982, 476, 276, 267, 1822, 1004, 616, 7166, 1142, 1032, 538, 9036, 10913, 2066, 519, 2136, 2276, 540, 3013, 269, 1411, 1810, 1406, 1616, 707, 4600, 24569, 7063, 689, 3114, 10898, 952, 596, 666, 2057, 873, 563, 13981, 811, 827, 519, 3483, 540, 519, 3106, 1239, 6656, 568, 8797, 952, 596, 1616, 547, 2611, 5360, 5050, 609, 13013, 11190, 543, 1683, 513, 2922, 960, 1604, 585, 707, 4600, 269, 634, 1434, 3377, 568, 602, 596, 4076, 1336, 519, 3501, 3391, 547, 1451, 827, 7598, 519, 1570, 3106, 1239, 6656, 693, 707, 1870, 563, 16605, 2542, 713, 2376, 547, 1491, 707, 9036, 3106, 547, 513, 1007, 1377, 2221, 2336, 8368, 540, 12937, 454, 1432, 3657, 8881, 4578, 25420, 888, 32552, 1239, 9212, 267, 5892, 1572, 1570, 3106, 1239, 9212, 267, 616, 1898, 585, 9036, 3106, 269, 4635, 606, 590, 9169, 585, 10297, 18071, 519, 6464, 538, 513, 13818, 7623, 568, 1455, 269, 898, 779, 849, 3339, 585, 519, 590, 9169, 547, 1592, 519, 2168, 267, 1072, 267, 543, 2825, 4220, 2404, 609, 891, 6464, 563, 288, 1434, 3106, 1239, 6656, 849, 10525, 519, 1697, 3106, 15416, 950, 7829, 6464, 269, 7743, 569, 13936, 519, 6464, 568, 849, 4105, 563, 5194, 4062, 540, 1344, 593, 606, 590, 9169, 568, 5583, 593, 1018, 547, 5957, 547, 2149, 3054, 689, 5739, 6464, 269, 1411, 1590, 2141, 5957, 1697, 623, 14154, 10591, 547, 3251, 2922, 689, 9036, 10898, 269, 18833, 519, 3617, 1101, 5351, 5773, 568, 849, 2629, 547, 707, 1072, 563, 5308, 11190, 3340, 22475, 543, 824, 28737, 547, 946, 3106, 1239, 9212, 1282, 1142, 960, 6521, 269, 31740, 1058, 2141, 723, 1569, 547, 891, 9212, 547, 3895, 9036, 3106, 543, 2061, 10913, 269, 1411, 666, 1413, 1934, 585, 811, 9623, 827, 519, 2956, 540, 3106, 1239, 6656, 2359, 563, 19119, 540, 8881, 4578, 25420, 454, 32552, 1239, 9212, 1683, 1896, 2640, 547, 707, 4600, 269, 1358, 1683, 519, 2556, 1344, 585, 519, 1697, 7829, 540, 13818, 6464, 269, 30799, 538, 513, 3106, 1239, 6656, 3301, 1982, 2306, 513, 9522, 540, 2631, 585, 4213, 602, 1616, 547, 1832, 741, 5520, 2922, 563, 2080, 779, 513, 6251, 1413, 693, 519, 2640, 596, 3580, 2972, 609, 519, 1570, 3106, 1239, 6656, 563, 288, 1713, 2601, 547, 946, 3106, 1239, 9212, 538, 707, 9036, 568, 519, 942, 596, 3580, 4688, 269, 2659, 5520, 723, 2614, 593, 741, 3946, 1510, 12180, 543, 8357, 1944, 519, 3106, 1344, 585, 1142, 3114, 269, 4635, 3106, 1239, 9212, 17990, 873, 942, 547, 1445, 593, 824, 3344, 540, 741, 2816, 11645, 563, 763, 1034, 2487, 590, 9169, 12215, 786, 2061, 9036, 10898, 543, 1832, 707, 4600, 2922, 1282, 1142, 6521, 269, 6333, 1210, 2228, 3106, 1239, 9212, 547, 1847, 707, 2978, 610, 1870, 883, 519, 476, 2641, 560, 2540, 563, 2005, 779, 1100, 5728, 602, 7829, 6464, 10741, 17455, 7702, 779, 4216, 547, 1072, 2152, 585, 707, 5520, 543, 519, 1604, 269, 11109, 513, 3106, 1239, 6656, 585, 1142, 3114, 8992, 513, 10930, 960, 1604, 585, 782, 269, 1411, 991, 547, 1683, 2866, 547, 707, 5520, 547, 1832, 873, 909, 547, 4266, 593, 519, 2956, 540, 7829, 6464, 609, 1416, 563, 9199, 9535, 3388, 609, 519, 6464, 596, 2461, 7829, 568, 513, 7372, 11411, 267, 2523, 952, 596, 2461, 3843, 547, 798, 865, 676, 3965, 269, 1411, 3580, 3068, 3978, 22717, 689, 13013, 11190, 593, 1283, 540, 1761, 9036, 10898, 543, 7063, 563, 2005, 779, 513, 1507, 5092, 547, 1376, 1210, 543, 12180, 707, 3106, 1239, 6656, 4015, 269, 29179, 707, 5520, 602, 3063, 3787, 540, 4027, 568, 4105, 2094, 789, 3580, 1745, 15874, 543, 2219, 540, 269, 4107, 540, 782, 267, 596, 3580, 1832, 707, 1655, 5520, 2094, 596, 1416, 827, 741, 1072, 543, 1134, 5630, 563, 18719, 1386, 21436, 6796, 454, 20578, 518, 3028, 568, 1776, 1858, 602, 2640, 950, 596, 1376, 1210, 3106, 1239, 6656, 2359, 585, 707, 2978, 610, 1870, 269, 1403, 596, 2461, 9513, 6464, 610, 7135, 267, 12918, 616, 602, 707, 6455, 15161, 798, 711, 917, 519, 590, 9169, 1344, 585, 1808, 2472, 269, 1358, 3580, 991, 547, 1289, 2576, 547, 1205, 519, 4267, 519, 7817, 11394, 563, 2791, 666, 1683, 1732, 3028, 950, 596, 723, 1283, 27677, 577, 3106, 1239, 6656, 2359, 585, 707, 1870, 2094, 596, 3580, 723, 5401, 6114, 547, 28780, 543, 2055, 269, 634, 4244, 3340, 707, 10986, 547, 1265, 519, 6656, 543, 20794, 519, 4267, 563, 16352, 1697, 3106, 1239, 6656, 2359, 10607, 519, 6455, 1995, 269, 2659, 6455, 8257, 666, 1683, 519, 1318, 2626, 8216, 24345, 269, 901, 786, 948, 596, 1683, 1732, 6075, 3028, 543, 1796, 856, 3379, 547, 519, 6735, 563, 7312, 9441, 2866, 849, 10607, 950, 596, 946, 606, 590, 9169, 269, 1411, 4465, 1406, 2972, 519, 2640, 540, 606, 590, 9169, 952, 707, 5520, 666, 1406, 1224, 543, 1174, 873, 269, 1411, 3580, 2972, 513, 2922, 960, 1604, 950, 707, 5520, 616, 8036, 593, 875, 547, 946, 3106, 1239, 9212, 563, 21093, 3301, 585, 707, 590, 9169, 2115, 2337, 1317, 621, 14884, 707, 5520, 593, 1697, 3114, 7829, 269, 634, 9115, 540, 7135, 786, 581, 4443, 547, 1265, 269, 2659, 5520, 786, 917, 519, 3106, 3268, 547, 946, 950, 7829, 6464, 538, 519, 9036, 563, 763, 1981, 540, 9036, 10913, 568, 1164, 950, 596, 2461, 7829, 5739, 6464, 269, 634, 4636, 1847, 1223, 2322, 707, 4600, 543, 519, 1604, 693, 1981, 269, 4635, 606, 590, 9169, 568, 519, 1034, 2500, 1259, 547, 3262, 4656, 540, 1018, 596, 2461, 7829, 543, 875, 547, 8399, 563, 7312, 5520, 666, 1413, 693, 519, 3106, 1239, 6656, 585, 1142, 7623, 543, 917, 875, 621, 23465, 609, 1480, 5160, 269, 898, 779, 849, 519, 3501, 1747, 547, 1265, 856, 875, 547, 6023, 606, 8009, 952, 596, 21383, 513, 3114, 269, 1411, 3580, 2569, 519, 1981, 540, 10913, 538, 519, 9036, 1247, 5329, 707, 4600, 2922, 563, 2005, 779, 849, 1898, 952, 596, 1616, 547, 2061, 4031, 7057, 543, 22717, 689, 13013, 11190, 269, 589, 3668, 540, 10220, 2164, 538, 1804, 22717, 602, 1223, 2322, 707, 2978, 610, 1870, 538, 513, 3348, 13895, 3510, 269, 5213, 1406, 6336, 707, 1870, 936, 513, 3668, 540, 3106, 1239, 9212, 563, 9359, 4635, 8881, 4578, 25420, 4653, 454, 8794, 3106, 1239, 9212, 568, 4105, 952, 596, 1616, 547, 1832, 707, 2978, 610, 1870, 1930, 543, 707, 5520, 2922, 269, 1323, 590, 9169, 2488, 1344, 827, 6464, 543, 741, 5739, 2360, 593, 3425, 543, 519, 1604, 269, 9751, 707, 5520, 593, 519, 3106, 1239, 6656, 11151, 9036, 10898, 543, 8952, 707, 5520, 2922, 563, 13425, 856, 519, 1964, 540, 938, 5816, 952, 596, 2461, 6159, 1324, 811, 13181, 4930, 899, 713, 256, 0, 27287, 5295, 281, 15379, 1949, 543, 1239, 4099, 4398, 454, 15371, 6721, 267, 10438, 267, 610, 7893, 543, 2357, 4328, 630, 300, 261, 309, 1070, 5122, 1949, 1404, 606, 1271, 1909, 538, 1239, 4099, 1648, 4398, 269, 1879, 621, 2501, 547, 1239, 4099, 5122, 4398, 267, 782, 2959, 540, 1648, 946, 538, 519, 9744, 1590, 581, 2808, 563, 15371, 6721, 267, 10438, 267, 610, 7893, 543, 2357, 4328, 630, 300, 261, 309, 1070, 5122, 1949, 1404, 606, 1271, 1909, 538, 1239, 4099, 1648, 4398, 269, 1879, 621, 2501, 547, 1239, 4099, 5122, 4398, 267, 782, 2959, 540, 1648, 946, 538, 519, 9744, 1590, 581, 2808, 269, 769, 1840, 547, 519, 5904, 543, 13763, 267, 1239, 4099, 5989, 2882, 1312, 7344, 543, 5122, 3334, 1765, 718, 540, 799, 834, 4621, 2541, 257, 1648, 543, 1860, 5122, 4398, 269, 2755, 1648, 946, 540, 1082, 1239, 4099, 3334, 949, 581, 6654, 267, 1620, 1648, 946, 540, 519, 5122, 3892, 1062, 3334, 666, 581, 21792, 269, 898, 779, 1271, 585, 8030, 547, 917, 875, 519, 5122, 1062, 5540, 1239, 4099, 4398, 269, 19296, 1590, 849, 3666, 1379, 6165, 7145, 630, 303, 16604, 264, 543, 5122, 4398, 609, 10727, 950, 8888, 1239, 4099, 5122, 1949, 563, 16978, 3740, 8030, 949, 2015, 5122, 7397, 267, 13128, 543, 11979, 4483, 17176, 267, 796, 5793, 4533, 1043, 1379, 3761, 630, 308, 4916, 264, 1949, 267, 543, 1379, 532, 8668, 3937, 2047, 689, 10626, 1379, 950, 8159, 543, 5883, 519, 2179, 540, 1379, 1031, 693, 1585, 6753, 2429, 519, 1239, 4099, 563, 268, 11512, 1239, 4099, 1648, 2504, 543, 922, 2959, 563, 268, 19873, 1648, 3887, 11797, 5122, 3892, 3334, 543, 1283, 3098, 563, 268, 8178, 5122, 1379, 2359, 1949, 630, 7968, 5960, 264, 543, 1379, 6165, 7145, 630, 303, 16604, 1916, 268, 11512, 519, 10858, 9479, 543, 4441, 281, 6789, 295, 6938, 292, 281, 9208, 476, 3445, 269, 272, 281, 6052, 9208, 585, 29844, 31453, 8899, 7304, 1047, 1763, 7808, 29844, 282, 20959, 476, 4968, 277, 269, 278, 268, 1001, 274, 281, 30318, 6657, 585, 10318, 1456, 519, 4039, 6636, 540, 476, 278, 9943, 2190, 23120, 5295, 7010, 538, 11633, 543, 20497, 11120, 1988, 282, 543, 29458, 5183, 476, 3583, 281, 2817, 15379, 8943, 630, 301, 4488, 1916, 289, 6929, 681, 10273, 267, 18027, 267, 19845, 3633, 6673, 267, 8055, 27026, 297, 297, 305, 267, 9628, 454, 298, 523, 918, 7491, 4364, 320, 267, 18027, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12716, 2418, 666, 596, 1589, 540, 888, 268, 1548, 568, 1776, 2262, 585, 15312, 888, 268, 1548, 568, 513, 1989, 25128, 12716, 888, 268, 1548, 616, 1806, 540, 15312, 888, 268, 1548, 568, 4158, 24243, 12716, 888, 268, 1548, 616, 519, 12716, 2418, 888, 268, 1548, 568, 606, 12716, 2511, 888, 268, 4208, 616, 15312, 865, 1271, 888, 268, 1548, 616, 1434, 15312, 888, 268, 1548, 616, 12716, 4162, 888, 1432, 568, 12716, 2681, 888, 288, 20469, 4778, 616, 7499, 267, 11617, 13267, 4778, 602, 3142, 5898, 547, 513, 4055, 563, 15371, 596, 1616, 606, 1148, 344, 14254, 562, 809, 610, 19511, 1404, 3336, 267, 12716, 4778, 786, 12954, 5876, 538, 1022, 2713, 2230, 10756, 1432, 616, 519, 476, 275, 3334, 540, 15312, 888, 1432, 568, 12716, 1374, 286, 24058, 15312, 723, 891, 1883, 2609, 281, 7822, 267, 23426, 267, 23694, 267, 7412, 267, 7956, 675, 267, 10439, 2597, 267, 18696, 267, 17361, 267, 1160, 343, 14383, 543, 11873, 269, 2560, 14675, 15312, 723, 891, 1883, 2609, 281, 700, 3716, 1145, 267, 623, 3558, 267, 19468, 267, 3115, 564, 819, 267, 9253, 1328, 267, 23694, 543, 30433, 21457, 3688, 7498, 1692, 798, 596, 946, 15312, 888, 288, 20469, 4845, 1806, 7197, 540, 519, 18810, 593, 4159, 941, 711, 1500, 547, 1831, 1641, 547, 12716, 31658, 538, 7262, 1148, 15882, 269, 2560, 9320, 621, 729, 942, 789, 3323, 9878, 811, 3007, 547, 519, 12716, 1871, 540, 1919, 269, 2560, 594, 723, 606, 12716, 7071, 540, 3627, 779, 5654, 267, 2123, 2511, 543, 5876, 21457, 3688, 7498, 1432, 568, 519, 1292, 6161, 540, 15312, 888, 288, 652, 12060, 568, 519, 7936, 540, 6138, 7255, 609, 519, 2470, 543, 7071, 540, 1148, 267, 5898, 543, 1434, 6492, 269, 19247, 281, 898, 814, 849, 1044, 3989, 607, 968, 322, 15560, 8086, 593, 1148, 267, 2528, 543, 2470, 6100, 634, 2262, 968, 320, 652, 12060, 892, 24283, 689, 519, 5259, 968, 320, 626, 2867, 1731, 657, 5608, 2495, 968, 1993, 2631, 8226, 9731, 1692, 666, 594, 2087, 1250, 12716, 2631, 888, 4002, 602, 4063, 267, 649, 4927, 1592, 513, 1906, 31452, 602, 1058, 948, 596, 547, 1020, 513, 2631, 540, 15312, 543, 2087, 707, 1374, 2093, 607, 1134, 11482, 809, 585, 5898, 1472, 596, 269, 2560, 2561, 3285, 622, 782, 3029, 540, 1148, 269, 2560, 6733, 585, 5898, 538, 3054, 543, 1866, 269, 2560, 1234, 915, 1018, 568, 18473, 610, 11991, 1519, 13719, 7071, 540, 5898, 21457, 3688, 2507, 31220, 1692, 798, 594, 4766, 1250, 12716, 888, 30560, 26713, 268, 31812, 11225, 12716, 607, 281, 513, 1880, 6492, 585, 610, 1935, 547, 1018, 568, 24886, 547, 519, 12823, 269, 10925, 3274, 281, 707, 12716, 568, 707, 2123, 968, 19972, 1848, 898, 779, 875, 596, 1935, 1919, 267, 1018, 596, 13498, 607, 4190, 543, 8903, 269, 634, 1655, 17749, 20555, 616, 23887, 282, 1169, 8666, 568, 851, 540, 519, 3152, 2898, 563, 1432, 616, 519, 1614, 12716, 7907, 888, 4322, 1614, 12716, 6436, 616, 1034, 4122, 5219, 547, 607, 1955, 527, 1049, 1143, 267, 4813, 16117, 267, 543, 16508, 1143, 563, 4692, 596, 2161, 2576, 568, 12716, 888, 763, 2262, 666, 581, 1031, 607, 606, 18781, 282, 585, 1383, 267, 968, 763, 2915, 814, 12716, 9029, 6100, 1656, 621, 666, 849, 581, 513, 10902, 267, 607, 538, 267, 968, 763, 2915, 740, 12742, 547, 922, 9742, 779, 12716, 6100, 1809, 607, 606, 18781, 538, 968, 763, 2915, 568, 12716, 5608, 621, 568, 711, 18986, 558, 5597, 2953, 563, 1432, 824, 12716, 2418, 666, 596, 1589, 540, 888, 5445, 1331, 519, 1106, 267, 1543, 267, 8699, 267, 10103, 267, 19454, 267, 610, 17501, 1145, 540, 1568, 563, 1432, 568, 1776, 2262, 585, 15312, 888, 1103, 713, 2985, 596, 666, 3605, 476, 2190, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 12716, 267, 899, 281, 2073, 6492, 995, 267, 7499, 267, 4190, 267, 17705, 267, 3507, 894, 267, 2511, 267, 1609, 4854, 267, 24886, 267, 1609, 16375, 543, 538, 320, 20469, 563, 1432, 568, 513, 1989, 25128, 12716, 888, 16665, 15312, 6182, 25128, 568, 513, 18632, 267, 1196, 326, 1512, 2511, 891, 2395, 602, 568, 2356, 13269, 609, 1350, 9662, 267, 24064, 2643, 5638, 267, 13189, 267, 19440, 8279, 267, 543, 519, 2681, 3109, 630, 6518, 814, 11613, 4986, 547, 798, 609, 519, 3312, 1989, 25128, 1916, 1432, 616, 1806, 540, 15312, 888, 288, 20469, 1797, 519, 16990, 267, 2318, 610, 1148, 995, 5920, 540, 513, 1268, 610, 513, 3364, 269, 1323, 1383, 540, 519, 2262, 568, 12716, 568, 547, 2161, 602, 513, 1880, 1286, 568, 4190, 269, 634, 4214, 540, 12716, 568, 1373, 5461, 538, 875, 1945, 5654, 543, 7959, 269, 1323, 1383, 540, 2576, 945, 568, 12716, 1522, 581, 606, 7376, 563, 1432, 568, 4158, 24243, 12716, 888, 291, 1046, 24243, 568, 606, 12716, 10704, 593, 2362, 2069, 267, 1603, 267, 519, 6575, 267, 543, 5929, 5259, 543, 20096, 6189, 267, 607, 1134, 607, 11509, 1279, 532, 543, 2669, 269, 6145, 32119, 14537, 267, 979, 4565, 4532, 648, 267, 543, 6264, 332, 659, 648, 267, 621, 6591, 8560, 593, 519, 2228, 5867, 28607, 27717, 543, 570, 3518, 331, 337, 563, 1432, 616, 519, 12716, 2418, 888, 14240, 269, 589, 20469, 1871, 568, 519, 1871, 602, 606, 1843, 267, 2680, 267, 610, 1533, 540, 12602, 630, 2865, 9132, 25634, 1227, 606, 11247, 610, 519, 2067, 1604, 264, 19299, 538, 16495, 540, 922, 4390, 547, 29360, 12257, 630, 27168, 1871, 264, 610, 771, 921, 5501, 630, 17463, 1871, 264, 950, 15874, 610, 4810, 8353, 24312, 563, 1432, 568, 606, 12716, 2511, 888, 2791, 666, 2638, 621, 856, 1934, 269, 898, 568, 513, 1826, 540, 6752, 602, 1004, 1131, 4766, 607, 607, 24886, 547, 1413, 693, 269, 1717, 267, 594, 1131, 2161, 602, 12716, 6752, 568, 7802, 602, 568, 2189, 609, 12050, 9660, 602, 3335, 1131, 723, 1044, 7678, 344, 1296, 3516, 563, 3963, 616, 15312, 865, 1271, 888, 8245, 2952, 2322, 267, 15312, 1118, 721, 6126, 269, 2201, 606, 3929, 1377, 789, 29360, 4606, 540, 8788, 543, 9350, 269, 1358, 1921, 721, 547, 938, 2702, 547, 2992, 593, 543, 5660, 519, 1158, 1472, 721, 799, 538, 2490, 3947, 721, 4606, 540, 1543, 618, 543, 4126, 563, 1432, 616, 1434, 15312, 888, 288, 652, 12060, 568, 513, 4295, 1374, 6240, 602, 11225, 513, 1374, 779, 24886, 7907, 269, 769, 3308, 2474, 267, 15312, 2882, 2188, 971, 607, 3666, 267, 2681, 267, 3350, 267, 4806, 267, 4336, 267, 3337, 543, 3308, 2597, 269, 5071, 619, 946, 15312, 547, 9148, 741, 6272, 685, 32636, 267, 543, 865, 3986, 10342, 609, 10694, 29282, 563, 1432, 616, 12716, 4162, 888, 288, 20469, 7907, 616, 519, 4743, 267, 7099, 610, 5790, 540, 519, 11247, 267, 6383, 676, 519, 946, 540, 1148, 2609, 543, 3741, 269, 18234, 700, 714, 1223, 581, 4330, 607, 2348, 513, 1350, 600, 5387, 855, 3579, 4743, 269, 898, 1223, 581, 4330, 607, 28221, 267, 9633, 6438, 267, 7301, 267, 1256, 804, 1144, 880, 269, 0, 288, 1382, 1957, 568, 513, 1713, 10421, 540, 782, 1053, 945, 616, 17935, 547, 4497, 538, 513, 26885, 538, 519, 1641, 269, 898, 779, 513, 1390, 2856, 547, 17492, 513, 1382, 1957, 543, 849, 7118, 606, 10097, 335, 3639, 4378, 2293, 610, 2362, 1665, 538, 707, 1378, 25046, 269, 3194, 4574, 616, 2629, 538, 2127, 971, 607, 3163, 267, 9119, 267, 2296, 543, 811, 865, 621, 568, 2556, 547, 15666, 547, 891, 5796, 585, 1603, 513, 1382, 1957, 563, 6524, 596, 1376, 1603, 267, 596, 786, 991, 547, 1205, 513, 1434, 2856, 827, 519, 1641, 602, 596, 1131, 899, 547, 17492, 269, 634, 1344, 602, 596, 5531, 1247, 7900, 707, 1382, 568, 1271, 585, 519, 1382, 1957, 269, 1411, 666, 849, 2307, 1866, 547, 741, 5784, 543, 23456, 952, 2877, 563, 5475, 11018, 1344, 267, 621, 568, 1631, 942, 547, 1305, 519, 4773, 1927, 883, 835, 3561, 269, 901, 568, 519, 1448, 1141, 519, 1382, 1957, 1603, 6238, 269, 1306, 596, 17492, 519, 11356, 267, 596, 786, 991, 547, 3314, 602, 519, 1344, 11129, 547, 581, 3169, 267, 12001, 543, 6896, 547, 2327, 621, 568, 2653, 585, 519, 5467, 547, 10146, 563, 2005, 779, 1360, 1271, 547, 1118, 2386, 519, 1344, 602, 596, 3761, 538, 519, 1353, 1957, 568, 1101, 269, 1411, 949, 2328, 4376, 596, 1616, 607, 1279, 607, 621, 568, 3617, 543, 4143, 269, 1703, 616, 8320, 950, 519, 1344, 3884, 1406, 598, 5477, 2614, 547, 17854, 19696, 519, 2707, 269, 1403, 713, 4523, 267, 621, 568, 4998, 547, 2721, 707, 1378, 3664, 610, 3343, 3606, 1382, 563, 5629, 596, 616, 2944, 609, 519, 1353, 267, 596, 991, 547, 7291, 707, 4681, 538, 513, 1259, 602, 519, 3988, 666, 3362, 1174, 269, 272, 1271, 9133, 538, 2870, 513, 1382, 1957, 1131, 581, 547, 2057, 1373, 22350, 2143, 1317, 972, 3884, 1406, 4376, 8338, 982, 2469, 3842, 621, 543, 16734, 602, 519, 9623, 568, 711, 4143, 563, 2005, 779, 16122, 547, 1445, 593, 519, 2949, 1448, 607, 10353, 547, 2519, 593, 1022, 835, 3296, 540, 519, 11356, 269, 898, 779, 11338, 1360, 1271, 547, 2328, 621, 538, 513, 1259, 602, 596, 666, 3362, 3314, 543, 1174, 563, 763, 1974, 540, 713, 1957, 568, 1713, 607, 1134, 269, 898, 779, 4998, 547, 2824, 1063, 5216, 543, 2947, 4627, 1913, 585, 707, 1378, 1382, 1957, 269, 901, 568, 3226, 3020, 952, 519, 1957, 3568, 1022, 8100, 563, 1103, 21882, 513, 1382, 3561, 267, 782, 519, 3334, 5018, 1657, 1058, 581, 2808, 269, 2755, 1603, 519, 1957, 267, 1287, 621, 568, 2556, 547, 2322, 3388, 538, 513, 1259, 602, 519, 1344, 13859, 568, 2653, 547, 1174, 269, 2142, 1978, 602, 596, 723, 782, 540, 519, 1344, 1354, 4098, 547, 2328, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 642, 617, 2378, 821, 2773, 2359, 568, 519, 1184, 540, 2870, 513, 960, 1604, 610, 4259, 538, 799, 1004, 616, 13087, 547, 269, 634, 1852, 1599, 540, 2359, 1557, 9013, 607, 513, 30361, 540, 2359, 9013, 519, 3252, 540, 269, 3367, 713, 1557, 593, 2359, 9762, 13764, 1599, 2359, 568, 519, 1184, 540, 2324, 609, 1004, 543, 1210, 2200, 547, 3914, 519, 2754, 779, 3853, 269, 1703, 781, 513, 11285, 689, 707, 6280, 7996, 547, 948, 596, 609, 602, 1557, 593, 2359, 1184, 540, 9013, 267, 513, 1184, 540, 5464, 563, 26296, 2359, 568, 513, 1184, 602, 3322, 2238, 540, 519, 3919, 4016, 547, 519, 9013, 2359, 2359, 1184, 1557, 269, 4828, 593, 1852, 538, 606, 13539, 1923, 3252, 1923, 2359, 1557, 593, 519, 3268, 3238, 538, 519, 1852, 1184, 1557, 593, 519, 9013, 1184, 3800, 269, 5131, 1557, 281, 3184, 476, 278, 1184, 2359, 3020, 11721, 4426, 2055, 476, 272, 1184, 2359, 568, 3989, 607, 519, 9013, 543, 269, 0, 763, 1259, 540, 512, 331, 25638, 2993, 1557, 454, 7437, 21037, 267, 519, 20842, 974, 14369, 1185, 547, 1265, 2081, 547, 11753, 1585, 13856, 6803, 2516, 3976, 267, 519, 519, 512, 331, 25638, 2993, 729, 851, 540, 606, 2949, 2038, 8544, 334, 26410, 269, 634, 4473, 543, 2887, 540, 519, 20842, 974, 322, 10340, 1557, 519, 21570, 753, 1141, 27086, 609, 519, 20842, 974, 322, 543, 949, 534, 2528, 267, 741, 2081, 540, 1272, 267, 741, 10923, 563, 23087, 281, 11828, 1585, 949, 534, 543, 20842, 974, 322, 14868, 267, 1519, 5137, 2984, 543, 1114, 538, 1082, 2081, 267, 789, 11402, 835, 1776, 512, 331, 25638, 2993, 267, 476, 866, 267, 476, 4366, 269, 634, 1259, 540, 512, 331, 25638, 2993, 1557, 476, 14065, 273, 1913, 910, 476, 277, 3817, 2094, 519, 2038, 476, 9610, 271, 338, 536, 576, 267, 1004, 540, 713, 5736, 723, 5129, 835, 540, 519, 9998, 1634, 3029, 540, 513, 7328, 602, 269, 2334, 519, 3014, 849, 1599, 539, 538, 1454, 519, 1482, 1259, 607, 23242, 2621, 689, 824, 2694, 5758, 1247, 1100, 7634, 729, 17298, 547, 12398, 519, 15174, 540, 519, 476, 4350, 273, 519, 949, 320, 3440, 3766, 877, 533, 758, 2389, 320, 1790, 758, 630, 21406, 512, 331, 25638, 2993, 676, 519, 20842, 974, 322, 563, 763, 1259, 540, 512, 331, 25638, 2993, 1557, 476, 8182, 274, 1913, 1923, 476, 278, 3817, 835, 540, 519, 9998, 1634, 3029, 540, 513, 7328, 602, 3322, 1079, 6887, 543, 513, 12285, 3440, 5129, 593, 563, 15371, 621, 729, 513, 3014, 540, 20842, 974, 322, 512, 331, 25638, 2993, 610, 10750, 2025, 24821, 2421, 267, 968, 534, 1278, 1259, 547, 1589, 540, 621, 568, 267, 649, 2141, 1767, 3756, 1131, 581, 519, 1148, 1106, 540, 519, 476, 2641, 560, 930, 2182, 1909, 25178, 532, 16095, 338, 1031, 547, 1118, 596, 2328, 606, 1557, 827, 707, 269, 12344, 519, 1034, 1134, 1634, 540, 3504, 20842, 974, 322, 3756, 729, 579, 961, 600, 531, 714, 339, 2993, 267, 5129, 593, 513, 512, 331, 25638, 2993, 3440, 5480, 855, 972, 941, 1082, 824, 20842, 974, 322, 3756, 543, 5026, 267, 971, 607, 269, 6813, 519, 25165, 4730, 741, 8748, 4528, 540, 512, 331, 25638, 2993, 267, 610, 12765, 1442, 4252, 267, 538, 799, 535, 1042, 15104, 544, 1774, 781, 5386, 1557, 593, 544, 532, 19580, 267, 32047, 267, 14405, 3007, 547, 538, 519, 1482, 1259, 267, 621, 2306, 1100, 2631, 31049, 585, 9042, 547, 269, 1358, 5156, 602, 519, 1655, 1259, 547, 23231, 873, 729, 547, 2709, 909, 1973, 547, 585, 1383, 519, 16771, 610, 17485, 518, 512, 331, 25638, 2993, 267, 513, 1455, 3014, 5129, 563, 1428, 20842, 974, 322, 10340, 1100, 2854, 1893, 11827, 512, 331, 25638, 2993, 281, 513, 3440, 18524, 602, 3096, 513, 12285, 3440, 610, 9843, 540, 14894, 539, 9601, 1100, 946, 540, 3946, 9496, 519, 3440, 883, 269, 634, 3440, 3014, 5480, 729, 1572, 968, 339, 331, 25638, 2993, 892, 543, 8821, 956, 1419, 5129, 621, 609, 5230, 25919, 835, 540, 519, 1034, 909, 547, 519, 17633, 20842, 974, 322, 4070, 2409, 3769, 513, 3099, 540, 6698, 607, 851, 621, 781, 23732, 543, 2511, 20842, 974, 322, 5656, 5758, 563, 763, 1259, 540, 512, 331, 25638, 2993, 1557, 454, 8170, 513, 3014, 267, 519, 20842, 974, 14369, 5129, 519, 737, 10107, 540, 519, 3014, 5219, 547, 607, 512, 331, 25638, 2993, 13558, 814, 5828, 883, 513, 8471, 1587, 607, 1134, 607, 513, 2619, 547, 269, 769, 513, 6073, 2147, 547, 513, 2413, 6205, 1210, 519, 2923, 547, 1459, 513, 5129, 519, 24526, 3440, 3014, 512, 331, 25638, 2993, 267, 4767, 5480, 569, 28972, 538, 519, 269, 1717, 512, 331, 25638, 2993, 729, 811, 513, 3575, 540, 14912, 267, 2019, 28380, 543, 11176, 2864, 982, 1175, 540, 519, 12285, 3440, 1282, 519, 3014, 3090, 2213, 519, 2104, 2619, 540, 519, 3141, 563, 268, 570, 331, 25638, 2993, 268, 3504, 8544, 334, 26410, 5026, 3440, 3756, 723, 1044, 5129, 538, 8544, 334, 15330, 3821, 2094, 519, 9998, 540, 2053, 519, 1034, 2442, 540, 891, 3440, 3756, 729, 563, 268, 634, 8544, 334, 26410, 3440, 18524, 729, 513, 7328, 609, 9161, 12205, 5129, 2094, 476, 9610, 271, 27652, 676, 519, 540, 513, 3575, 689, 835, 610, 1776, 540, 519, 3735, 343, 26148, 2371, 1336, 782, 519, 1259, 689, 519, 25878, 4764, 7733, 547, 519, 7187, 9390, 519, 3440, 3294, 729, 1572, 15662, 491, 961, 600, 531, 18223, 543, 519, 3440, 322, 22620, 729, 1572, 513, 512, 331, 25638, 2993, 1496, 16659, 339, 389, 361, 520, 390, 481, 339, 389, 361, 328, 563, 7628, 519, 1032, 267, 596, 786, 1491, 513, 7552, 538, 519, 1259, 1394, 3684, 543, 960, 609, 707, 2516, 547, 1711, 513, 2319, 1557, 2882, 1614, 533, 758, 8584, 2389, 758, 630, 339, 331, 25638, 2993, 269, 4828, 1603, 3028, 24924, 817, 9892, 336, 659, 333, 325, 11597, 2158, 577, 3420, 16769, 513, 2078, 606, 2079, 540, 2081, 538, 799, 547, 3666, 519, 5313, 6578, 538, 519, 8087, 2829, 269, 0, 763, 6905, 1557, 519, 6905, 1557, 568, 606, 538, 3829, 1353, 540, 513, 5059, 1888, 6074, 689, 519, 1592, 540, 9516, 26885, 7998, 1383, 6905, 1557, 476, 273, 269, 21763, 948, 593, 519, 16481, 6905, 1557, 1934, 781, 938, 2347, 3391, 267, 2407, 540, 1383, 2093, 267, 1557, 3584, 267, 15415, 267, 1900, 676, 1900, 4566, 547, 1205, 513, 1390, 6060, 593, 707, 1557, 269, 1215, 547, 2328, 16481, 6905, 1557, 18759, 607, 596, 2907, 917, 267, 585, 1383, 267, 723, 596, 4121, 875, 547, 4019, 1576, 2093, 538, 513, 1007, 2796, 269, 4139, 536, 3147, 8403, 675, 622, 270, 2169, 2105, 1557, 4388, 952, 519, 1657, 1383, 1281, 711, 4019, 547, 596, 267, 5310, 2307, 707, 16481, 4717, 13541, 585, 1806, 689, 1053, 2250, 563, 763, 6905, 1557, 281, 14335, 606, 2500, 7291, 513, 707, 6905, 1557, 786, 3622, 581, 11130, 538, 835, 540, 519, 1739, 2081, 4143, 1383, 476, 273, 269, 12989, 616, 6905, 1557, 12013, 1513, 538, 930, 540, 519, 1034, 1455, 5396, 11643, 547, 16481, 789, 1331, 519, 16481, 981, 10719, 781, 8292, 593, 1142, 851, 540, 519, 19875, 269, 27326, 1557, 538, 11585, 630, 16766, 476, 274, 264, 6905, 1557, 4170, 4116, 1368, 843, 3894, 543, 6700, 10643, 3732, 6905, 1557, 543, 16555, 910, 3446, 513, 3732, 6905, 1557, 543, 16555, 910, 3446, 536, 563, 15507, 519, 17048, 1210, 519, 1913, 6905, 1557, 543, 519, 1641, 538, 799, 596, 616, 5461, 1294, 519, 1383, 2630, 15663, 602, 543, 13462, 519, 1079, 3406, 2474, 269, 14484, 687, 543, 519, 678, 653, 325, 281, 8086, 538, 519, 6905, 1557, 6212, 593, 519, 2875, 779, 3356, 1282, 519, 4058, 267, 1382, 543, 1603, 1184, 269, 12726, 16481, 1089, 552, 324, 476, 275, 476, 272, 6905, 1557, 968, 1729, 1018, 6708, 519, 5757, 14228, 320, 538, 519, 31025, 600, 2749, 729, 4299, 13476, 9624, 519, 544, 21036, 10275, 3518, 327, 476, 1001, 274, 269, 9906, 3391, 281, 6905, 3594, 538, 7350, 575, 281, 946, 540, 1893, 3617, 547, 519, 1641, 713, 2460, 540, 4879, 568, 1883, 547, 596, 3384, 513, 1434, 1557, 269, 634, 16481, 6905, 1557, 568, 513, 476, 275, 267, 1822, 30087, 5098, 2854, 896, 519, 15569, 540, 606, 25129, 713, 1557, 1223, 2285, 596, 3606, 2798, 4724, 707, 26885, 6060, 563, 15761, 2105, 1557, 22403, 7291, 10959, 4063, 1107, 713, 568, 513, 13598, 10959, 543, 949, 711, 581, 5078, 585, 707, 1880, 1888, 4367, 630, 17141, 2854, 2063, 1040, 25592, 6905, 1557, 3898, 1315, 6101, 6881, 4808, 519, 1739, 616, 930, 2596, 4808, 547, 8236, 519, 5207, 2009, 6060, 593, 707, 269, 901, 2022, 8638, 476, 736, 4214, 1557, 3584, 547, 948, 596, 1205, 513, 4214, 1557, 3096, 606, 6905, 1383, 513, 4214, 1557, 568, 3335, 1759, 593, 513, 269, 2201, 713, 2985, 596, 666, 4647, 16481, 6905, 1557, 1383, 267, 1265, 16481, 6905, 1557, 3584, 267, 1451, 827, 16481, 6905, 1557, 4808, 267, 16481, 6905, 1557, 7355, 267, 16481, 6905, 1557, 6530, 267, 16481, 6905, 1557, 19875, 267, 16481, 6905, 7005, 1557, 269, 1323, 6905, 1557, 568, 606, 4081, 960, 602, 568, 513, 851, 540, 1034, 3486, 536, 3147, 8403, 675, 622, 4110, 3292, 6905, 1557, 1383, 568, 3677, 538, 4320, 982, 513, 2834, 4081, 1557, 267, 607, 621, 5161, 540, 909, 547, 2185, 8536, 1913, 563, 763, 6905, 1557, 519, 4367, 267, 3932, 543, 7493, 4388, 593, 1603, 281, 519, 4367, 1946, 519, 1888, 568, 1271, 267, 4277, 543, 17709, 540, 1353, 538, 519, 1641, 269, 5440, 476, 1789, 16481, 6905, 1557, 3584, 1644, 547, 6530, 621, 568, 513, 9157, 835, 547, 2328, 16481, 6905, 1557, 1888, 593, 6530, 607, 596, 723, 269, 18391, 585, 6905, 1557, 17074, 596, 2461, 593, 519, 1318, 2985, 6905, 3594, 949, 2154, 513, 4110, 540, 2930, 640, 621, 666, 581, 513, 31484, 548, 543, 17173, 585, 930, 269, 6423, 1383, 1557, 10643, 585, 519, 6905, 1557, 4534, 851, 540, 519, 3486, 536, 3147, 8403, 675, 622, 10378, 26885, 10872, 563, 9596, 875, 547, 2328, 513, 1434, 7493, 689, 519, 1655, 7493, 1806, 1614, 547, 2947, 3817, 1279, 1557, 267, 1383, 540, 7493, 689, 513, 3332, 1557, 269, 634, 6905, 1557, 568, 606, 16481, 4295, 10421, 267, 1141, 1053, 2263, 513, 1641, 538, 3178, 519, 1641, 1590, 9305, 547, 835, 540, 519, 6030, 6035, 538, 2516, 476, 272, 910, 476, 277, 540, 519, 16481, 26885, 10872, 269, 1548, 568, 606, 621, 7714, 6905, 1557, 606, 621, 7714, 6905, 1557, 2115, 547, 1445, 593, 519, 1514, 5222, 630, 27168, 610, 2942, 264, 1344, 2029, 814, 593, 2486, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3460, 269, 1358, 1185, 5063, 21783, 689, 1164, 1153, 543, 4956, 547, 11654, 741, 9909, 540, 4742, 21804, 538, 519, 20380, 9576, 8225, 5794, 10414, 630, 305, 7563, 293, 1040, 2060, 796, 344, 1752, 532, 8990, 31960, 2390, 741, 8188, 267, 789, 13984, 606, 10066, 8400, 4371, 676, 519, 681, 7563, 293, 19684, 2319, 780, 257, 14187, 12784, 267, 3025, 2437, 1767, 18279, 17566, 267, 513, 19023, 11464, 945, 3366, 519, 8400, 269, 834, 9213, 267, 649, 786, 1865, 519, 11826, 2866, 3292, 543, 4170, 2556, 547, 6443, 938, 1920, 1934, 538, 519, 681, 7563, 293, 3010, 297, 820, 729, 782, 10772, 267, 1010, 4064, 31394, 609, 7279, 543, 20440, 269, 1261, 795, 582, 1540, 1524, 1169, 1469, 3838, 676, 18279, 17566, 1247, 15039, 19557, 18906, 1947, 22290, 1864, 269, 2991, 8720, 1585, 3584, 971, 607, 2168, 8516, 10526, 543, 4081, 23944, 28987, 267, 18279, 17566, 1642, 1386, 883, 519, 8184, 2866, 1982, 780, 257, 20058, 267, 972, 781, 519, 12729, 22947, 9751, 630, 303, 10499, 264, 1576, 267, 9434, 5111, 476, 2537, 4374, 2437, 9307, 18279, 17566, 269, 834, 2080, 267, 16461, 1080, 10536, 13654, 18229, 1702, 543, 4052, 10760, 1983, 1210, 2241, 8484, 269, 16270, 3811, 12032, 267, 27466, 525, 4434, 547, 519, 1985, 1377, 910, 519, 9978, 18001, 22947, 9751, 267, 14178, 936, 476, 4366, 4374, 3010, 299, 1176, 6659, 1200, 1688, 1135, 7019, 269, 834, 2750, 322, 2224, 803, 267, 27205, 269, 16393, 596, 5225, 14969, 593, 1018, 2186, 540, 18902, 951, 616, 6026, 1282, 891, 11775, 8119, 1352, 4280, 31635, 780, 290, 2194, 664, 17566, 21330, 1237, 1324, 569, 693, 15039, 781, 2243, 269, 834, 26807, 569, 256, 4438, 519, 3355, 5933, 267, 20017, 1115, 4487, 4909, 18902, 951, 899, 2786, 1299, 1377, 19426, 267, 6172, 2125, 267, 1784, 757, 267, 7140, 267, 588, 8712, 267, 543, 1491, 26160, 270, 1633, 902, 269, 1306, 2866, 22264, 267, 865, 1281, 519, 6988, 540, 4247, 282, 8754, 267, 2663, 11775, 1445, 593, 12445, 2553, 267, 6293, 7664, 267, 6595, 5773, 267, 3781, 4238, 267, 5250, 10760, 267, 543, 28365, 13485, 3010, 2026, 519, 6881, 4797, 267, 621, 2968, 2312, 602, 11836, 519, 681, 7563, 293, 7012, 1405, 1175, 827, 1565, 547, 8038, 14742, 855, 849, 1303, 9229, 3384, 6043, 267, 9015, 267, 5718, 267, 543, 23274, 269, 2755, 930, 1761, 23078, 8604, 16397, 267, 25455, 543, 15039, 7283, 32344, 267, 8746, 538, 741, 17050, 5103, 6616, 2407, 1134, 519, 2591, 6619, 780, 12507, 2195, 5293, 267, 543, 1310, 1035, 532, 13675, 18362, 543, 11042, 267, 25455, 543, 15039, 6368, 12236, 741, 9634, 1851, 824, 14971, 1285, 328, 2209, 1369, 519, 554, 9994, 539, 6821, 540, 519, 681, 7563, 293, 30028, 269, 4256, 1101, 19224, 548, 1107, 519, 27615, 9934, 623, 10499, 5123, 3138, 15701, 2282, 780, 7628, 1346, 2038, 2395, 267, 8082, 4904, 519, 2011, 8164, 16929, 29506, 1242, 1142, 11134, 781, 2773, 24271, 559, 612, 569, 269, 27190, 1389, 941, 23939, 7074, 267, 1419, 4553, 676, 818, 706, 748, 1121, 539, 658, 7886, 6322, 693, 6439, 4328, 6959, 2394, 19870, 729, 6913, 269, 6736, 519, 2604, 267, 25455, 9863, 5128, 513, 2656, 15226, 267, 11744, 2067, 19038, 3363, 585, 10760, 269, 11531, 267, 15039, 17388, 7620, 1813, 547, 5163, 19210, 2152, 855, 17251, 873, 998, 22406, 27497, 543, 16177, 780, 3080, 12556, 995, 1554, 267, 1282, 513, 4101, 3444, 13388, 13941, 3635, 267, 1919, 3576, 513, 2490, 585, 519, 8338, 950, 1776, 2875, 267, 8751, 267, 4503, 1852, 540, 1010, 8484, 4571, 22190, 25209, 269, 7754, 10107, 267, 646, 1654, 1229, 1055, 2275, 6847, 2509, 25455, 781, 2619, 269, 2382, 3307, 1947, 267, 1510, 11688, 2787, 610, 2543, 585, 1010, 1378, 3106, 267, 25455, 13401, 859, 5297, 2962, 267, 19011, 1154, 16580, 8806, 6279, 6306, 269, 1717, 267, 519, 23589, 2220, 2925, 2451, 2370, 4055, 585, 6051, 267, 4929, 25455, 547, 16154, 2244, 1928, 2685, 7404, 780, 4537, 2586, 2943, 14393, 1529, 3585, 21379, 4669, 267, 25455, 6172, 5523, 856, 540, 519, 20739, 1188, 720, 1152, 547, 7198, 8751, 838, 11781, 532, 2476, 19849, 21724, 543, 695, 3139, 269, 1323, 7634, 1671, 4240, 267, 13031, 8751, 781, 32226, 19962, 547, 13385, 7041, 942, 6170, 17265, 4365, 2175, 1354, 519, 8184, 269, 2598, 9918, 3800, 941, 3144, 1996, 8751, 267, 855, 519, 10071, 695, 809, 909, 1082, 1053, 267, 7674, 607, 513, 22880, 12576, 540, 519, 7915, 4220, 3238, 538, 7796, 7627, 11678, 780, 19602, 267, 15039, 267, 2348, 14754, 519, 3003, 12558, 32357, 547, 4217, 25455, 269, 8625, 267, 789, 32006, 3042, 8726, 1223, 581, 11324, 4240, 689, 519, 8697, 7077, 269, 3683, 342, 3559, 4364, 676, 519, 1995, 267, 25455, 1476, 3660, 538, 15039, 267, 11589, 16203, 585, 711, 1373, 2111, 547, 4688, 519, 8484, 780, 4537, 12976, 9758, 6568, 267, 15039, 931, 565, 539, 1864, 6031, 267, 834, 8855, 267, 707, 1272, 6927, 811, 982, 1022, 3684, 267, 25455, 269, 1411, 1500, 519, 1318, 3903, 2221, 3010, 9961, 519, 14230, 540, 741, 2866, 267, 25455, 543, 15039, 6462, 1142, 824, 24091, 267, 3395, 6793, 1927, 607, 27503, 21804, 269, 16828, 267, 789, 6192, 741, 14053, 6030, 267, 15980, 741, 12209, 23217, 2427, 676, 2427, 896, 519, 4585, 995, 22401, 540, 18279, 17566, 269, 3245, 1287, 576, 1721, 628, 3459, 741, 3879, 686, 748, 15322, 10188, 22839, 1657, 5318, 20073, 525, 540, 23836, 8916, 20829, 22800, 6191, 1128, 2683, 609, 1379, 267, 8856, 267, 543, 5191, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 1344, 593, 519, 2866, 3292, 543, 4170, 585, 21804, 543, 12284, 2818, 538, 519, 9576, 8225, 5794, 10414, 888, 8133, 267, 607, 606, 3642, 1893, 2203, 267, 594, 666, 1683, 1344, 593, 519, 2866, 3292, 543, 4170, 585, 21804, 543, 12284, 2818, 538, 519, 9576, 8225, 5794, 10414, 780, 32086, 21976, 585, 15815, 1824, 1384, 2414, 1831, 513, 12681, 538, 519, 9576, 8225, 5794, 10414, 267, 10457, 1590, 2347, 519, 1739, 2866, 4170, 1384, 272, 269, 12729, 22947, 9751, 630, 303, 10499, 264, 6092, 281, 901, 568, 513, 476, 2537, 22173, 1576, 602, 2488, 519, 2596, 1702, 543, 1983, 2838, 547, 8038, 269, 15443, 573, 919, 1451, 875, 547, 8038, 513, 2596, 8484, 267, 1685, 2596, 18902, 951, 267, 543, 6330, 780, 273, 269, 9978, 18001, 22947, 9751, 281, 15443, 573, 919, 1287, 1847, 593, 547, 519, 9978, 18001, 22947, 9751, 1576, 267, 799, 568, 513, 476, 4366, 22173, 1576, 602, 13976, 593, 519, 1702, 543, 1983, 4121, 1282, 519, 623, 10499, 1576, 269, 15443, 573, 919, 1451, 875, 547, 8038, 513, 811, 4359, 8484, 267, 1685, 4359, 18902, 951, 267, 543, 6330, 811, 1950, 11507, 780, 274, 269, 11628, 18001, 22947, 9751, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 594, 4312, 2141, 1044, 19832, 676, 7286, 1272, 267, 3226, 1208, 335, 3724, 16385, 269, 3733, 31117, 3323, 950, 594, 729, 1175, 513, 4819, 267, 8384, 2470, 32026, 827, 891, 9543, 23766, 543, 29681, 540, 7487, 873, 909, 2673, 835, 1554, 269, 1306, 606, 2937, 267, 594, 4956, 547, 1491, 1250, 2648, 585, 16385, 547, 519, 1985, 1377, 543, 2968, 513, 15321, 693, 513, 1382, 3919, 6131, 547, 4974, 1208, 335, 10587, 1055, 519, 5032, 540, 16127, 780, 3080, 1554, 267, 1247, 856, 593, 513, 10935, 5464, 519, 16385, 267, 649, 8068, 1945, 8966, 269, 589, 1895, 540, 1208, 335, 10587, 941, 1969, 532, 8335, 982, 649, 1185, 2479, 2938, 1354, 1107, 789, 8604, 771, 528, 14314, 543, 14201, 1406, 1739, 741, 8912, 9194, 3270, 269, 3776, 2319, 5612, 3459, 14236, 267, 3843, 547, 3313, 1018, 1223, 581, 4929, 713, 9490, 2623, 780, 5475, 3275, 540, 1239, 4015, 543, 2079, 267, 649, 4362, 602, 519, 2014, 729, 8197, 5532, 547, 2242, 538, 5836, 14768, 4547, 827, 676, 2916, 1689, 269, 13018, 267, 15911, 1216, 5210, 941, 7133, 519, 11606, 543, 3892, 540, 737, 18115, 267, 513, 1883, 1426, 2707, 585, 1208, 335, 3724, 16385, 269, 2060, 1447, 1426, 2139, 2282, 741, 2757, 9960, 12406, 267, 519, 16385, 941, 7142, 547, 2951, 2417, 5087, 538, 3406, 540, 32351, 780, 2026, 513, 1267, 267, 1082, 540, 891, 15999, 7068, 941, 6849, 2799, 4220, 1282, 741, 15322, 267, 1519, 21611, 609, 9635, 543, 1303, 836, 2211, 538, 10068, 24437, 269, 1284, 6785, 649, 2877, 547, 957, 3728, 547, 948, 2149, 873, 780, 6546, 781, 1141, 938, 13395, 1719, 3357, 538, 13561, 281, 1085, 18866, 11362, 269, 11153, 2818, 540, 938, 2319, 941, 4810, 4129, 945, 1185, 25528, 14015, 8916, 2059, 519, 9241, 7550, 9194, 8905, 269, 4635, 713, 1702, 267, 649, 5249, 1927, 609, 2199, 8128, 547, 3715, 10930, 11288, 28961, 543, 2936, 3800, 547, 2569, 519, 1981, 540, 10913, 5473, 16385, 780, 3719, 1287, 3357, 519, 6397, 4729, 6335, 281, 711, 782, 3173, 8815, 609, 938, 1935, 269, 2368, 5156, 602, 2519, 593, 7863, 1367, 16385, 1131, 16297, 689, 5466, 519, 3597, 2014, 1107, 2916, 1689, 269, 570, 5014, 9782, 1369, 519, 3621, 2146, 267, 6028, 721, 4743, 14324, 1063, 4543, 519, 16385, 538, 4395, 540, 721, 543, 8165, 585, 6626, 2825, 2962, 780, 5475, 1454, 8086, 267, 2705, 267, 649, 7691, 602, 1312, 4485, 941, 1898, 269, 1635, 2921, 7525, 2962, 547, 16102, 7925, 17962, 5095, 267, 649, 1223, 4444, 942, 585, 3677, 8397, 3646, 6322, 693, 8396, 1154, 2916, 1689, 269, 5047, 267, 5373, 3007, 547, 519, 726, 697, 540, 891, 11599, 2831, 1522, 8300, 1866, 547, 6443, 519, 4339, 1996, 2518, 8337, 780, 5978, 1995, 6026, 803, 602, 1256, 9583, 19635, 4690, 666, 27721, 547, 1711, 6209, 1689, 269, 1656, 621, 18674, 519, 2956, 540, 7555, 909, 585, 1018, 596, 3494, 538, 267, 2436, 596, 2811, 14957, 585, 1208, 335, 3724, 16385, 610, 11319, 585, 11528, 1689, 593, 513, 1178, 837, 4336, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 2242, 538, 5836, 14768, 12936, 519, 27436, 6208, 540, 1208, 335, 3724, 16385, 888, 763, 2242, 538, 5836, 14768, 723, 4299, 519, 27436, 6208, 540, 1208, 335, 3724, 16385, 538, 513, 1713, 1259, 269, 670, 2794, 3724, 16385, 616, 1634, 547, 22738, 1279, 26591, 4955, 5928, 689, 741, 8023, 12406, 538, 519, 21303, 547, 741, 9960, 543, 1608, 1324, 12406, 538, 519, 21050, 923, 269, 1452, 4955, 5928, 616, 7361, 8200, 593, 519, 8244, 543, 3892, 540, 1426, 267, 799, 568, 6766, 676, 5836, 14768, 780, 1103, 2487, 1296, 267, 2242, 538, 5836, 14768, 3361, 676, 2916, 1689, 723, 3366, 547, 2242, 538, 519, 3892, 543, 11606, 540, 1426, 2959, 585, 1208, 335, 3724, 16385, 269, 901, 814, 8507, 538, 2242, 538, 741, 27436, 6208, 267, 971, 607, 19260, 538, 741, 12557, 543, 11507, 540, 9194, 267, 607, 1134, 607, 2242, 538, 741, 8023, 2623, 780, 2690, 1383, 267, 519, 4389, 8244, 540, 737, 18115, 538, 519, 21303, 1813, 547, 2242, 538, 5836, 14768, 814, 3366, 547, 1208, 335, 3724, 16385, 10707, 3476, 9883, 547, 1265, 1426, 269, 901, 814, 12936, 741, 1648, 759, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 7170, 281, 589, 27339, 1261, 597, 5979, 558, 781, 17023, 17714, 692, 296, 15110, 513, 4190, 14776, 8258, 689, 1250, 20516, 269, 898, 729, 1200, 3993, 781, 1354, 1200, 267, 1818, 621, 606, 9048, 2897, 762, 25752, 5979, 558, 5293, 1524, 998, 5481, 269, 1306, 2576, 945, 6785, 2370, 827, 14446, 267, 594, 4941, 547, 2327, 594, 3576, 1697, 1416, 540, 621, 269, 1924, 267, 594, 5828, 547, 2228, 15473, 585, 5796, 593, 875, 547, 2973, 543, 4558, 14776, 14446 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3157, 538, 1239, 2079, 602, 6087, 3906, 547, 723, 5488, 543, 811, 4977, 3375, 6194, 3157, 269, 901, 2636, 585, 519, 12957, 540, 5667, 10967, 14876, 3157, 602, 946, 1114, 6620, 543, 10763, 2409, 267, 7393, 4398, 543, 7607, 563, 289, 21392, 21436, 15232, 454, 5415, 543, 811, 3906, 616, 3246, 10531, 2533, 1759, 593, 7082, 1239, 269, 2060, 3642, 1239, 12454, 3375, 6194, 267, 621, 568, 2009, 547, 5659, 6075, 1239, 547, 2744, 4030, 827, 741, 2623, 267, 7375, 543, 3270, 267, 799, 666, 581, 1031, 547, 20688, 2472, 543, 2533, 547, 1808, 6800, 267, 8754, 267, 5356, 513, 1732, 6075, 1995, 563, 32391, 2359, 568, 2565, 547, 1022, 3919, 267, 543, 609, 3642, 267, 621, 568, 2009, 547, 4383, 4220, 1759, 593, 4977, 1239, 2079, 269, 2060, 3642, 6620, 267, 1239, 666, 581, 9916, 547, 9472, 4220, 267, 799, 6087, 3906, 547, 1491, 14942, 3268, 547, 11574, 1022, 1761, 6937, 811, 3927, 563, 9590, 1239, 12454, 3375, 6194, 6971, 10512, 3790, 3648, 676, 3678, 908, 1114, 3157, 971, 607, 1239, 4015, 267, 2079, 267, 3375, 6194, 267, 543, 1256, 5464, 269, 28290, 2636, 585, 811, 4977, 3375, 6194, 267, 799, 6971, 519, 4220, 540, 14427, 6959, 269, 11086, 267, 713, 6971, 519, 2949, 1942, 540, 4238, 267, 7393, 1942, 9806, 563, 18719, 1386, 17423, 10435, 454, 9590, 1239, 12454, 3375, 6194, 2488, 4030, 1759, 593, 4977, 1239, 2079, 267, 7175, 3906, 547, 1118, 1732, 3664, 269, 3414, 1239, 2079, 267, 621, 568, 2009, 547, 2697, 3466, 267, 3270, 267, 543, 3347, 602, 949, 711, 581, 7298, 998, 824, 3375, 6194, 2409, 269, 901, 2488, 3906, 609, 513, 4514, 1620, 540, 741, 4238, 267, 799, 5849, 602, 1732, 3664, 616, 1500, 267, 3056, 547, 1732, 4093, 563, 763, 8892, 540, 3642, 5937, 1092, 3220, 1508, 17423, 10435, 454, 763, 2104, 540, 3642, 1673, 1092, 12454, 3375, 1818, 568, 9750, 267, 609, 519, 7872, 540, 5610, 883, 1114, 9922, 540, 519, 4346, 269, 1717, 267, 609, 519, 4417, 540, 3642, 267, 1870, 3401, 1590, 1491, 3268, 547, 2226, 519, 3972, 540, 741, 5561, 676, 7393, 741, 1239, 2359, 4507, 269, 20871, 1590, 2327, 602, 1239, 7834, 543, 3354, 3800, 616, 2322, 538, 1747, 547, 11574, 519, 4220, 540, 1239, 23563, 799, 1223, 723, 4049, 4539, 593, 606, 3919, 269, 3642, 1239, 12454, 3375, 6194, 568, 711, 513, 835, 20695, 1922, 1080, 22433, 3070, 267, 543, 3906, 1590, 2015, 2188, 971, 607, 17356, 267, 25382, 267, 543, 12588, 267, 543, 1239, 2298, 267, 1851, 1866, 269, 3367, 811, 827, 519, 1888, 538, 713, 5007, 4199, 649, 4076, 16887, 5697, 585, 596, 269, 513, 760, 1941, 30394, 2284, 2336, 9590, 1239, 12454, 3375, 6194, 568, 13321, 3906, 267, 5356, 513, 8013, 5413, 267, 5355, 3157, 543, 7393, 3375, 1818, 269, 2060, 519, 2333, 538, 7082, 1239, 267, 12642, 7207, 543, 2208, 538, 3642, 2029, 267, 621, 568, 2312, 602, 3642, 1673, 1092, 12454, 3375, 6194, 3091, 513, 13374, 547, 1967, 585, 3906, 5275, 547, 2087, 741, 3375, 6194, 1184, 269, 1717, 267, 609, 519, 8476, 1379, 540, 3642, 267, 1870, 3401, 1590, 2611, 21713, 547, 519, 4220, 540, 922, 946, 543, 2327, 602, 11413, 267, 1239, 7834, 267, 543, 3354, 616, 20979, 563, 292, 4526, 547, 4228, 707, 1702, 286, 16731, 519, 1644, 9708, 649, 4076, 16887, 5697, 585, 596, 281, 0, 17138, 281, 5046, 268, 866, 543, 519, 26306, 540, 17791, 8234, 281, 11588, 543, 7799, 14591, 454, 763, 5046, 268, 866, 6855, 814, 3648, 12936, 3782, 6765, 1949, 2066, 519, 8608, 269, 1677, 11574, 519, 3262, 540, 519, 3644, 267, 3782, 7426, 723, 5051, 5828, 547, 7658, 8234, 2533, 269, 17791, 8234, 267, 3989, 607, 519, 6552, 6765, 540, 3782, 2533, 1210, 26313, 2029, 267, 814, 7153, 607, 606, 4244, 1935, 547, 2757, 538, 16512, 1416, 269, 901, 7004, 814, 8507, 538, 1896, 2640, 543, 7687, 602, 3310, 519, 3782, 6765, 1062, 269, 901, 1957, 6663, 547, 2697, 543, 1865, 1079, 2640, 543, 1079, 7687, 540, 7658, 8234, 1282, 519, 1699, 5046, 268, 866, 6855, 543, 741, 1764, 593, 3782, 6765, 563, 19119, 540, 17791, 8234, 1282, 519, 5046, 268, 866, 17455, 2438, 912, 272, 269, 3687, 30093, 25124, 11485, 912, 3080, 540, 519, 3119, 2640, 540, 7658, 8234, 1282, 519, 5046, 268, 866, 6855, 568, 922, 2702, 547, 7413, 519, 1981, 540, 3968, 585, 1312, 2550, 543, 3782, 4648, 269, 1635, 3850, 2043, 547, 4309, 1416, 20716, 267, 7658, 8234, 6971, 519, 991, 585, 538, 16512, 11564, 267, 7551, 13302, 519, 8458, 540, 1373, 6534, 547, 519, 3644, 269, 901, 568, 3226, 1271, 585, 7925, 5095, 609, 5312, 2175, 610, 19847, 4761, 1949, 267, 945, 616, 693, 513, 2362, 1981, 540, 4049, 4576, 269, 3958, 267, 7658, 8234, 6087, 3782, 4648, 547, 5838, 1898, 2533, 1247, 4509, 1514, 26865, 3800, 267, 3927, 29000, 538, 519, 6604, 540, 10194, 6771, 269, 901, 4324, 814, 711, 1152, 6870, 2550, 543, 3782, 4600, 855, 849, 8329, 547, 4227, 519, 11411, 593, 3782, 6703, 267, 3850, 873, 547, 1445, 593, 2565, 2665, 563, 273, 269, 31514, 7457, 547, 5516, 912, 5194, 1713, 4324, 540, 7658, 8234, 568, 922, 2702, 547, 3986, 1569, 547, 3782, 2533, 267, 3226, 585, 2043, 538, 6917, 610, 9207, 5703, 2127, 269, 17791, 8234, 23352, 10923, 7496, 676, 3246, 5691, 29492, 267, 7175, 2550, 538, 6552, 6753, 547, 1569, 7463, 1416, 1510, 519, 991, 585, 2951, 269, 901, 814, 8810, 17170, 1282, 519, 5046, 268, 866, 6855, 607, 621, 5849, 602, 2550, 666, 4309, 2556, 1416, 1510, 20392, 2933, 547, 1761, 19131, 542, 538, 22125, 3782, 5468, 269, 5047, 267, 7658, 8234, 16881, 1569, 547, 3782, 585, 2043, 945, 3068, 10688, 2591, 610, 3668, 6325, 6283, 3681, 269, 1635, 16107, 7658, 23890, 2029, 267, 3782, 7426, 666, 3914, 513, 9962, 3461, 2551, 267, 5355, 3782, 9698, 543, 4227, 13103, 538, 1569, 547, 1416, 563, 21918, 14591, 540, 17791, 8234, 1282, 519, 5046, 268, 866, 17455, 2438, 912, 272, 269, 25895, 31875, 912, 4407, 7658, 8234, 3091, 3875, 2640, 267, 621, 568, 711, 1510, 7687, 269, 2290, 1713, 4161, 568, 519, 6228, 540, 6639, 7496, 267, 971, 607, 3908, 1569, 547, 1164, 18286, 4950, 543, 3668, 540, 3937, 610, 2930, 6791, 269, 769, 1082, 9207, 5703, 2127, 267, 2523, 538, 3384, 2477, 267, 519, 2556, 5989, 585, 15774, 7658, 8234, 6765, 949, 581, 15877, 269, 901, 12042, 619, 519, 2702, 540, 2043, 547, 4497, 538, 5691, 29492, 543, 7182, 741, 1569, 547, 2556, 3782, 2533, 269, 25895, 7496, 849, 28148, 1860, 4587, 4079, 610, 2043, 609, 9124, 945, 949, 6560, 547, 6330, 3059, 5867, 610, 3668, 1569, 547, 3457, 2838, 585, 7658, 8234, 4205, 269, 1306, 513, 1267, 267, 891, 5095, 949, 1995, 4389, 1569, 547, 1416, 267, 12615, 908, 4540, 1072, 13103, 563, 273, 269, 7799, 14591, 538, 26616, 6452, 5596, 543, 9615, 661, 24351, 912, 5194, 20159, 540, 7658, 8234, 568, 519, 1761, 585, 4389, 10368, 6111, 543, 2126, 12117, 3379, 547, 538, 16512, 1416, 269, 2368, 4791, 2175, 610, 2168, 18362, 949, 2154, 1463, 2168, 3346, 610, 1569, 547, 7463, 2564, 3937, 267, 799, 568, 711, 2141, 15164, 998, 5691, 29492, 269, 17791, 8234, 949, 849, 3970, 519, 2702, 540, 3782, 7426, 547, 3713, 11029, 2168, 4191, 610, 1118, 4977, 10526, 1813, 547, 7687, 538, 3308, 543, 10444, 10291, 269, 15742, 3334, 540, 1416, 267, 971, 607, 15324, 32182, 610, 6296, 25750, 267, 949, 581, 4101, 547, 17982, 20716, 267, 5732, 18363, 2949, 3782, 4093, 269, 2755, 7658, 8234, 666, 3927, 2232, 1082, 3782, 2115, 267, 621, 949, 711, 581, 5078, 585, 782, 2564, 3871, 267, 543, 538, 16512, 11564, 949, 1869, 581, 2838, 538, 1978, 2665, 563, 25842, 593, 16195, 24822, 3590, 912, 763, 2640, 543, 7687, 540, 7658, 8234, 1282, 519, 5046, 268, 866, 6855, 3648, 1764, 519, 3782, 6765, 1062, 269, 17791, 8234, 814, 9927, 519, 1259, 3782, 2533, 616, 9447, 267, 3056, 547, 2799, 16126, 593, 6552, 1416, 269, 901, 6521, 19329, 2242, 538, 3782, 4507, 267, 6042, 267, 543, 32158, 9309, 618, 3631, 547, 1489, 543, 3895, 7658, 8234, 10073, 269, 634, 5610, 540, 7658, 8234, 883, 519, 3782, 6765, 1062, 814, 519, 1761, 547, 3986, 3782, 5989, 267, 2087, 1569, 547, 1416, 267, 543, 2333, 4398, 269, 1717, 267, 5466, 6639, 7496, 543, 4180, 12581, 1569, 547, 7658, 8234, 2533, 616, 2629, 2188, 585, 3811, 6388, 543, 547, 2061, 12615, 566, 540, 13103, 538, 3782, 1569, 563, 1103, 3932, 267, 7658, 8234, 814, 7152, 9645, 2640, 1282, 519, 5046, 268, 866, 6855, 267, 1519, 10893, 3968, 1981, 543, 7393, 1569, 547, 1416, 269, 1717, 267, 7658, 8234, 849, 814, 7687, 267, 1519, 6639, 7496, 543, 1761, 7687, 538, 10368, 6111, 543, 2126, 12117, 269, 634, 5610, 540, 7658, 8234, 883, 3782, 6765, 1949, 3340, 6297, 7156, 540, 891, 2640, 543, 7687, 547, 6330, 922, 1764, 3927, 269, 1306, 7658, 8234, 5170, 547, 11457, 267, 621, 568, 16122, 547, 2232, 891, 2591, 547, 2327, 12581, 3782, 1569, 543, 11126, 3782, 6765, 538, 519, 2104, 563, 29834, 267, 589, 269, 595, 1421, 7338, 267, 661, 1421, 10965, 657, 6202, 267, 595, 269, 700, 1421, 15917, 18484, 267, 670, 1421, 2725, 327, 8527, 571, 267, 589, 1421, 7581, 332, 27255, 267, 808, 1421, 2560, 1299, 654, 2393, 2023, 267, 681, 269, 630, 1708, 271, 1040, 17791, 8234, 585, 2518, 18002, 281, 20480, 585, 3782, 6765, 1282, 519, 5046, 268, 866, 6855, 269, 4750, 540, 17791, 25924, 543, 17791, 3249, 267, 476, 2918, 263, 276, 1070, 476, 29616, 268, 27123, 269, 630, 29834, 1696, 620, 1421, 476, 1708, 271, 264, 0, 301, 684, 822, 583, 5113, 10432, 454, 4962, 4873, 476, 1708, 274, 454, 763, 4972, 540, 5113, 20217, 782, 715, 684, 822, 636, 14741, 583, 547, 8661, 5113, 10432, 267, 4873, 476, 276, 547, 476, 280, 267, 476, 1708, 274, 563, 301, 684, 822, 583, 5113, 10432, 568, 9976, 1282, 519, 1482, 942, 607, 8225, 5113, 10432, 267, 606, 5993, 2680, 602, 7512, 23671, 547, 1491, 2962, 547, 948, 8190, 267, 2149, 267, 543, 11177, 938, 1604, 269, 634, 3018, 737, 6506, 1055, 609, 11162, 5794, 4303, 593, 4873, 476, 273, 267, 2622, 5113, 4303, 593, 4873, 476, 276, 267, 543, 744, 10895, 4303, 593, 4873, 476, 279, 563, 5278, 2081, 547, 3565, 547, 938, 2949, 2635, 1604, 1331, 912, 268, 3680, 6028, 15244, 540, 938, 4527, 593, 519, 2244, 543, 547, 1832, 938, 2244, 543, 1216, 607, 2973, 543, 16856, 607, 2009, 563, 268, 7994, 4264, 2951, 630, 327, 833, 267, 11332, 610, 3802, 264, 547, 2569, 8511, 3154, 5434, 543, 2011, 5533, 563, 268, 2142, 513, 6857, 7082, 676, 1818, 1732, 5079, 950, 1210, 610, 9140, 3688, 563, 268, 2422, 1648, 20617, 676, 1373, 3222, 540, 707, 1648, 3096, 563, 2414, 8661, 5113, 10432, 267, 649, 16436, 715, 684, 822, 636, 14741, 583, 547, 7119, 538, 938, 1514, 2923, 733, 3949, 912, 268, 1684, 596, 2648, 519, 13964, 286, 27189, 721, 6337, 610, 7044, 602, 7001, 519, 2067, 5898, 540, 938, 2244, 267, 2371, 267, 7320, 267, 543, 2951, 7045, 269, 772, 22744, 707, 6337, 610, 7044, 2228, 1210, 1948, 5319, 1444, 25582, 26214, 563, 268, 15391, 532, 568, 606, 1271, 851, 540, 27478, 2528, 282, 649, 2648, 547, 1294, 543, 5873, 707, 10122, 2984, 269, 772, 22744, 707, 10122, 8666, 2059, 609, 513, 6609, 2228, 1210, 1948, 5319, 1444, 25582, 26214, 610, 6494, 621, 547, 4757, 11333, 2593, 563, 268, 20128, 20203, 1472, 707, 29117, 286, 9523, 609, 721, 875, 596, 4076, 5280, 2973, 519, 1604, 1472, 596, 269, 6875, 513, 8666, 540, 1354, 543, 1310, 543, 14202, 621, 2228, 1210, 1948, 5319, 1444, 25582, 26214, 563, 268, 9314, 539, 538, 519, 1604, 286, 1284, 616, 18136, 6107, 689, 782, 9344, 547, 2328, 827, 519, 2956, 540, 5113, 10432, 543, 1946, 568, 621, 2556, 585, 3214, 547, 1451, 827, 2825, 2152, 269, 27189, 707, 4267, 547, 18078, 17106, 11333, 3820, 563, 6944, 652, 5171, 786, 1205, 513, 4960, 547, 3094, 513, 4972, 540, 5113, 16101, 3640, 269, 2353, 6337, 543, 6114, 786, 1831, 519, 3959, 540, 519, 6554, 540, 715, 684, 822, 583, 630, 294, 301, 1916, 2690, 811, 1344, 267, 1246, 519, 717, 301, 779, 1514, 2923, 3817, 547, 7119, 538, 519, 733, 3949, 267, 1294, 938, 5767, 7044, 267, 1294, 2199, 2621, 267, 543, 1451, 875, 596, 666, 1118, 513, 3017, 538, 10893, 707, 3327, 11640, 563, 10048, 4526, 540, 18058, 267, 4065, 543, 4934, 18943, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4756, 609, 1269, 343, 281, 7807, 2765, 346, 339, 2410, 339, 268, 272, 4151, 713, 3587, 281, 6695, 842, 3709, 10559, 13727, 11892, 271, 1535, 3287, 268, 272, 264, 13064, 273, 333, 268, 274, 348, 661, 5332, 3287, 264, 15848, 267, 9681, 3602, 1269, 292, 5332, 259, 18575, 519, 25586, 1014, 9971, 540, 519, 2034, 2186, 3230, 292, 5332, 3287, 2567, 7807, 8999, 3709, 332, 315, 613, 271, 4153, 1422, 3847, 315, 30848, 315, 256, 315, 256, 315, 256, 315, 3847, 315, 30848, 562, 315, 520, 641, 544, 9368, 315, 26917, 1422, 256, 315, 256, 315, 256, 315, 2431, 315, 26917, 1422, 1535, 317, 332, 267, 2330, 543, 25389, 519, 25276, 6935, 630, 14585, 22046, 532, 547, 519, 6935, 585, 519, 11664, 602, 596, 5795, 538, 707, 2243, 2567, 30967, 343, 268, 272, 264, 13064, 273, 333, 268, 273, 348, 292, 3709, 333, 266, 272, 12917, 343, 21174, 3847, 263, 910, 343, 3287, 268, 272, 264, 13064, 273, 333, 268, 272, 348, 292, 5332, 3287, 264, 1422, 2431, 8203, 3189, 18905, 20467, 2330, 1635, 519, 1657, 4542, 621, 568, 1631, 2653, 547, 1397, 267, 10128, 676, 2694, 14578, 267, 602, 1269, 289, 3799, 6661, 271, 259, 585, 1256, 1269, 333, 259, 1247, 585, 9642, 1269, 333, 284, 273, 335, 268, 272, 259, 3230, 289, 263, 273, 335, 268, 272, 6661, 8987, 272, 264, 9745, 2715, 533, 1341, 476, 272, 7684, 630, 275, 335, 25631, 1422, 842, 318, 271, 3867, 10954, 13727, 348, 661, 7272, 11196, 343, 8203, 273, 630, 343, 266, 272, 264, 13064, 275, 335, 268, 272, 348, 1535, 1422, 15848, 315, 1547, 9681, 263, 2414, 2638, 713, 267, 621, 568, 10375, 547, 6338, 519, 5311, 540, 7787, 3252, 1269, 308, 318, 562, 3287, 2567, 284, 630, 343, 268, 272, 264, 13064, 273, 333, 348, 292, 5332, 3287, 7751, 602, 14183, 519, 24088, 1269, 308, 318, 2715, 333, 266, 272, 13157, 268, 562, 266, 272, 13157, 1422, 15927, 22570, 2765, 12757, 2410, 343, 268, 272, 348, 1422, 2765, 12757, 2410, 272, 14870, 348, 772, 318, 562, 1422, 15927, 264, 9745, 11513, 18905, 4151, 609, 3355, 2783, 1269, 308, 318, 271, 284, 272, 1040, 259, 308, 318, 271, 284, 272, 269, 259, 17798, 585, 782, 259, 333, 266, 332, 285, 271, 259, 933, 723, 7445, 842, 3709, 10559, 13727, 11892, 271, 772, 3709, 333, 266, 272, 348, 308, 3709, 332, 4153, 2765, 12757, 2410, 272, 14870, 348, 11459, 284, 10559, 842, 3709, 10559, 13727, 11892, 271, 772, 318, 2715, 333, 348, 308, 318, 2715, 332, 266, 272, 4153, 2765, 12757, 2410, 272, 14870, 348, 11459, 315, 6902, 259, 1721, 259, 332, 284, 272, 259, 527, 3947, 519, 1657, 7533, 585, 259, 289, 3799, 264, 1315, 630, 273, 333, 266, 273, 25631, 315, 8096, 3738, 780, 274, 3773, 476, 275, 3197, 538, 1560, 454, 273, 3773, 476, 23056, 3197, 538, 1560, 282, 3773, 476, 274, 3197, 538, 1560, 282, 12995, 1560, 454, 272, 0, 12709, 1923, 1923, 13174, 476, 275, 628, 853, 323, 1923, 17270, 519, 1297, 540, 2395, 1063, 1079, 2016, 7389, 692, 258, 17270, 519, 1297, 540, 2395, 1063, 1079, 2016, 7389, 692, 1103, 835, 3018, 972, 616, 476, 278, 17058, 269, 1403, 835, 3018, 936, 1776, 835, 3018, 5956, 780, 4692, 596, 30770, 519, 1297, 540, 2395, 1063, 1079, 2016, 7389, 780, 1103, 835, 3018, 972, 616, 476, 278, 17058, 780, 2252, 835, 3018, 936, 1776, 835, 3018, 5956, 780, 2252, 10732, 815, 476, 272, 267, 11728, 815, 476, 273, 267, 13638, 815, 476, 274, 267, 13723, 815, 476, 275, 267, 13628, 815, 476, 276, 267, 11016, 815, 476, 277, 267, 543, 14349, 815, 476, 278, 780, 2252, 2221, 568, 476, 277, 267, 1548, 1554, 729, 962, 16518, 267, 1554, 1354, 19108, 286, 543, 1018, 786, 581, 14182, 543, 1554, 1310, 14182, 2496, 23804, 519, 1554, 538, 3105, 610, 14232, 3018, 780, 292, 3052, 269, 1109, 21196, 476, 1691, 18575, 14349, 269, 2052, 596, 7058, 1018, 568, 476, 2641, 560, 1554, 2496, 2791, 723, 2907, 19927, 538, 519, 3105, 1362, 267, 602, 875, 1082, 4374, 616, 972, 538, 513, 3923, 543, 1032, 780, 9616, 281, 5565, 4374, 1118, 513, 6830, 9519, 267, 602, 568, 267, 476, 1691, 2395, 1118, 513, 6830, 9519, 692, 2521, 1452, 692, 272, 269, 1215, 1082, 3275, 723, 476, 1789, 2395, 286, 476, 275, 692, 273, 269, 1215, 1082, 3275, 723, 476, 4029, 2395, 286, 476, 278, 692, 274, 269, 1772, 972, 1022, 3923, 1447, 982, 476, 1789, 2395, 286, 8786, 267, 5988, 692, 4467, 1584, 532, 519, 1297, 540, 2395, 1063, 1079, 2016, 7389, 1384, 2414, 12337, 2395, 1063, 1079, 2016, 7389, 267, 1293, 519, 1297, 540, 2395, 538, 1063, 519, 2016, 7389, 269, 1403, 3923, 8813, 538, 1063, 1079, 7389, 267, 5173, 519, 1297, 540, 2395, 538, 3923, 780, 9616, 281, 8074, 281, 13575, 267, 476, 272, 3923, 815, 476, 275, 4374, 692, 13052, 21283, 4041, 692, 24280, 519, 1297, 540, 2395, 1063, 14412, 1554, 543, 19413, 20289, 13183, 328, 1554, 2496, 11405, 1384, 5715, 11163, 1554, 815, 476, 1428, 628, 4864, 692, 294, 16905, 808, 5674, 13183, 328, 815, 476, 273, 526, 5239, 692, 9616, 281, 1109, 1103, 519, 4864, 3923, 649, 723, 476, 4029, 2395, 267, 14412, 1554, 8813, 593, 476, 1428, 628, 4864, 267, 865, 267, 649, 723, 547, 10208, 476, 1428, 689, 476, 4029, 780, 2521, 1452, 692, 272, 269, 12433, 519, 1297, 540, 2395, 1063, 8285, 543, 6243, 1554, 2496, 13731, 5733, 1554, 815, 476, 1839, 628, 5412, 692, 11847, 3016, 1554, 815, 476, 2918, 628, 5130, 692, 273, 269, 12433, 519, 1297, 540, 2395, 1063, 623, 784, 531, 543, 2904, 1554, 2496, 303, 784, 531, 815, 476, 1691, 628, 5130, 692, 9802, 1554, 815, 476, 272, 560, 2904, 692, 274, 269, 12433, 519, 1297, 540, 2395, 1063, 11819, 779, 1554, 543, 5753, 779, 1554, 2496, 30108, 779, 1554, 815, 476, 276, 628, 5181, 692, 14399, 779, 1554, 815, 476, 1691, 628, 715, 913, 1889, 828, 692, 30475, 2433, 5384, 1923, 12910, 476, 274, 3848, 476, 275, 1923, 476, 275, 628, 13174, 2073, 476, 275, 628, 13174, 2433, 12910, 476, 274, 5149, 476, 275, 2433, 5384, 454, 19138, 7698, 267, 700, 624, 1005, 11872, 267, 12143, 267, 13129, 267, 26264, 6609, 7778, 267, 5618, 1469, 454, 275, 628, 13174, 2433, 12910, 476, 274, 5149, 476, 275, 2433, 5384, 2433, 17270, 519, 1297, 540, 2395, 1063, 1079, 2016, 7389, 1923, 5384, 1923, 12910, 476, 274, 3848, 476, 275, 1923, 476, 275, 628, 13174, 0, 1012, 1548, 568, 14893, 2986, 1323, 19105, 910, 476, 272, 2496, 763, 3903, 540, 606, 3328, 568, 606, 1271, 543, 2352, 1966, 799, 513, 18802, 1014, 814, 547, 1412, 2183, 269, 898, 568, 547, 581, 1360, 15891, 13124, 1500, 267, 607, 267, 952, 513, 4636, 3328, 814, 1044, 6074, 267, 25619, 8753, 616, 2693, 547, 1246, 269, 19139, 540, 513, 1880, 3328, 1058, 581, 2944, 1310, 4758, 7156, 547, 513, 1297, 540, 2798, 7074, 2630, 23241, 9217, 264, 634, 1843, 610, 519, 3483, 585, 799, 606, 3328, 568, 1373, 7229, 1384, 2252, 782, 2418, 538, 513, 3126, 616, 547, 581, 5701, 607, 8449, 1271, 1287, 12980, 1611, 786, 581, 513, 5078, 3328, 269, 1403, 519, 1034, 1455, 6221, 540, 513, 3126, 814, 547, 581, 4092, 25042, 1058, 581, 1031, 269, 2405, 1014, 568, 6074, 950, 519, 3483, 568, 547, 3313, 519, 7584, 540, 1585, 2418, 543, 547, 1265, 519, 3328, 7584, 269, 1403, 519, 1843, 568, 547, 1353, 3448, 2242, 12166, 1611, 568, 519, 1152, 3328, 547, 581, 6074, 269, 7316, 4130, 3688, 723, 547, 581, 2016, 3152, 2597, 2085, 23191, 1611, 568, 519, 1655, 3328, 780, 23870, 264, 6787, 519, 3328, 1131, 581, 1031, 585, 2417, 8579, 26398, 1384, 2252, 2417, 8579, 26398, 723, 547, 581, 2944, 689, 606, 3328, 1871, 269, 2405, 1014, 543, 25042, 1058, 581, 12199, 856, 269, 634, 3903, 1131, 581, 1063, 12980, 3328, 267, 12166, 1611, 543, 23191, 1611, 269, 6904, 540, 891, 1614, 25939, 1058, 581, 6074, 1131, 4096, 593, 519, 1843, 585, 799, 519, 3328, 814, 547, 581, 1031, 780, 31702, 264, 634, 2470, 543, 1826, 540, 1239, 2139, 692, 5416, 264, 1403, 519, 3892, 568, 27101, 610, 5176, 27101, 538, 2470, 267, 25226, 1611, 267, 2405, 1014, 610, 25042, 666, 581, 1031, 269, 4256, 2418, 1131, 581, 2901, 9838, 610, 1131, 711, 8428, 1454, 780, 6357, 264, 1403, 519, 1239, 616, 1360, 12623, 20470, 610, 7729, 342, 267, 1611, 1131, 711, 581, 513, 1434, 3328, 269, 2405, 1014, 610, 25042, 1522, 581, 1732, 780, 6262, 264, 1403, 519, 1239, 723, 21376, 1362, 17942, 10094, 267, 2405, 1014, 568, 513, 1732, 3903, 607, 621, 3217, 883, 2272, 519, 1362, 17942, 1998, 540, 519, 11667, 1362, 1152, 780, 5560, 264, 1403, 519, 1239, 723, 1930, 15134, 1362, 17942, 10094, 2405, 1014, 610, 25042, 1131, 581, 1732, 982, 824, 25939, 780, 16216, 264, 1403, 519, 1239, 17663, 540, 3928, 267, 12753, 610, 21159, 12166, 1611, 1131, 581, 519, 1034, 5078, 3328, 780, 1012, 19478, 9122, 267, 6732, 14581, 12143, 6435, 538, 14893, 540, 606, 19105, 692, 307, 3757, 560, 12781, 568, 519, 1655, 1747, 547, 1205, 4267, 547, 782, 707, 22027, 3823, 3903, 540, 606, 3328, 269, 2558, 534, 560, 12781, 814, 513, 5318, 8470, 540, 4810, 7194, 21493, 15367, 666, 2491, 519, 1114, 2035, 547, 596, 3927, 269, 1411, 666, 10505, 707, 1153, 267, 2852, 610, 6280, 1377, 6780, 610, 7084, 547, 721, 543, 649, 786, 1118, 2386, 602, 596, 1205, 519, 4267, 1644, 547, 3903, 540, 606, 3328, 780, 1012, 13565, 11762, 692, 5472, 10803, 11762, 692, 5415, 1627, 26031, 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 1315, 11417, 2791, 616, 13156, 606, 4587, 4528, 540, 713, 10417, 269, 3619, 547, 519, 5767, 4528, 780, 258, 8641, 532, 18185, 547, 21302, 27155, 12793, 692, 1012, 4855, 6207, 543, 2199, 970, 516, 2742, 267, 2565, 2418, 267, 543, 1439, 5615, 1210, 2029, 692, 271, 14999, 3682, 28698, 454, 20797, 8641, 532, 18185, 547, 21302, 27155, 12793, 454, 3682, 28698, 454, 271, 14999, 20877, 532, 27155, 12793, 609, 513, 8641, 532, 18185, 692, 2414, 1118, 513, 4023, 5198, 1063, 513, 8749, 3122, 543, 513, 16168, 1286, 267, 513, 10196, 25282, 519, 1739, 9971, 3830, 1384, 259, 325, 3287, 264, 815, 476, 10170, 269, 6924, 273, 343, 910, 2568, 269, 275, 2767, 343, 317, 273, 1341, 476, 10019, 269, 278, 1015, 343, 317, 274, 910, 2767, 269, 278, 7597, 343, 317, 275, 1341, 476, 275, 269, 30640, 343, 317, 276, 910, 476, 271, 269, 26783, 343, 317, 277, 259, 1547, 1548, 568, 519, 5021, 1448, 540, 713, 1599, 781, 3113, 2496, 2162, 30334, 692, 1103, 519, 28065, 12793, 3184, 267, 596, 1031, 519, 24275, 9498, 547, 3113, 25158, 15614, 269, 3767, 267, 649, 786, 4228, 2390, 602, 1702, 543, 3113, 2362, 24266, 21335, 269, 3973, 267, 649, 786, 946, 519, 24275, 9498, 547, 1265, 519, 21325, 267, 5021, 338, 543, 5934, 338, 780, 2971, 7151, 589, 692, 20877, 1269, 325, 3287, 6661, 343, 317, 274, 21147, 317, 273, 268, 279, 343, 268, 279, 259, 1210, 513, 24275, 9498, 780, 11405, 281, 1452, 5528, 616, 585, 513, 30263, 268, 10695, 610, 476, 10019, 1547, 3689, 267, 2046, 1269, 312, 284, 259, 1547, 1403, 972, 616, 1022, 3252, 538, 713, 6885, 267, 2312, 873, 856, 676, 10223, 519, 815, 1129, 543, 10296, 13673, 9898, 269, 3767, 267, 538, 1269, 312, 272, 259, 2073, 4283, 538, 519, 9971, 269, 898, 1058, 1413, 899, 281, 1269, 343, 23373, 1633, 476, 274, 21147, 23373, 1633, 476, 273, 268, 279, 343, 268, 279, 259, 1547, 4964, 16998, 4338, 295, 16317, 2414, 4188, 519, 6885, 267, 2046, 2098, 302, 6865, 1547, 1677, 1205, 519, 6093, 910, 1015, 547, 476, 1015, 5496, 630, 1721, 1312, 17887, 1070, 2046, 476, 277, 281, 313, 24092, 269, 1677, 24680, 856, 267, 2046, 2098, 302, 6865, 267, 476, 274, 281, 313, 7112, 11073, 267, 13673, 9898, 267, 13673, 9898, 269, 1280, 713, 1880, 1599, 267, 519, 6885, 2115, 547, 979, 689, 910, 1428, 547, 476, 1428, 585, 1312, 1269, 343, 259, 543, 1269, 344, 259, 1547, 1677, 16924, 3403, 519, 6885, 267, 2046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 946, 540, 12823, 282, 1018, 568, 2938, 543, 4862, 609, 8766, 19003, 998, 17133, 563, 296, 7246, 294, 28475, 281, 10076, 11052, 827, 2250, 267, 1459, 267, 610, 2104, 282, 6720, 553, 625, 543, 9909, 454, 4596, 294, 25712, 20937, 281, 20472, 539, 2495, 282, 1582, 2389, 1779, 267, 4978, 267, 543, 6562, 553, 282, 5042, 1983, 282, 2790, 5759, 454, 2562, 9898, 303, 8991, 2177, 3201, 267, 14298, 18426, 267, 1299, 595, 17109, 7838, 3201, 281, 17716, 609, 1866, 282, 1920, 2796, 282, 15376, 538, 1514, 2516, 282, 2686, 2152, 282, 543, 2152, 540, 1514, 21440, 563, 11403, 308, 294, 6730, 19739, 12471, 13965, 281, 25665, 282, 7350, 282, 11976, 282, 2564, 2152, 282, 946, 540, 10363, 5061, 267, 1519, 4568, 563, 291, 6865, 288, 27486, 5508, 674, 7419, 290, 3582, 5058, 630, 20062, 7495, 3008, 994, 28808, 1090, 267, 630, 1001, 273, 264, 8638, 1896, 11890, 540, 1599, 602, 666, 581, 1336, 538, 519, 32663, 268, 4353, 8261, 269, 968, 763, 1905, 1235, 991, 547, 3666, 513, 24004, 28748, 8561, 593, 21454, 609, 513, 24468, 779, 6161, 585, 2208, 543, 1646, 892, 630, 28808, 1090, 267, 476, 1001, 273, 267, 533, 269, 476, 4510, 1916, 4322, 11890, 616, 7396, 2630, 267, 630, 28808, 1090, 267, 1001, 273, 267, 533, 269, 476, 4510, 268, 3393, 1916, 320, 269, 2657, 543, 3106, 454, 321, 269, 5851, 5004, 454, 322, 269, 11038, 4567, 454, 323, 269, 5020, 4058, 454, 326, 269, 13751, 4567, 454, 327, 269, 2274, 15370, 543, 28046, 454, 331, 269, 16508, 2271, 22715, 454, 334, 269, 15215, 1299, 20154, 454, 9827, 8659, 538, 519, 32663, 268, 4353, 568, 519, 6820, 10495, 540, 9577, 532, 269, 2755, 621, 568, 4867, 606, 856, 6361, 15082, 4879, 267, 594, 6557, 1519, 513, 3095, 540, 621, 1934, 585, 519, 19160, 540, 9488, 1145, 269, 898, 568, 1271, 849, 547, 4063, 602, 519, 1007, 32663, 268, 276, 8261, 6212, 3079, 593, 519, 18040, 7495, 3008, 268, 273, 269, 594, 6557, 849, 1519, 513, 3095, 585, 713, 6293, 267, 2094, 621, 568, 8246, 693, 1250, 1699, 1747, 540, 7694, 563, 3721, 1948, 274, 12861, 634, 2776, 14083, 9046, 5903, 454, 10527, 7274, 540, 2042, 593, 519, 16861, 1592, 1522, 1118, 596, 1745, 27945, 269, 5457, 596, 666, 9192, 543, 7873, 1619, 519, 1592, 2394, 621, 568, 19242, 6100, 630, 28808, 1090, 267, 476, 1001, 273, 267, 533, 5379, 1916, 2691, 10747, 2042, 621, 568, 3730, 547, 1589, 827, 789, 666, 4766, 519, 3077, 540, 707, 2104, 9354, 3646, 269, 769, 13559, 267, 630, 1001, 273, 264, 5267, 602, 968, 1492, 1966, 2140, 568, 513, 5618, 1808, 8360, 2507, 314, 663, 316, 3251, 5059, 593, 519, 7817, 779, 2601, 585, 1373, 538, 3797, 267, 711, 2943, 3001, 547, 707, 12497, 1436, 540, 519, 1966, 892, 630, 335, 476, 3393, 1040, 3958, 267, 968, 28300, 1210, 1893, 602, 8761, 938, 3137, 602, 14487, 513, 2014, 585, 741, 1966, 892, 630, 28808, 1090, 267, 476, 1001, 273, 267, 533, 476, 3393, 1040, 7053, 267, 2638, 547, 1118, 2386, 596, 9046, 5903, 568, 3102, 269, 2755, 621, 568, 4105, 602, 649, 2232, 519, 7817, 779, 1928, 267, 649, 1590, 711, 8850, 3398, 519, 7817, 779, 1620, 540, 519, 1966, 1510, 2565, 6514, 563, 18184, 1841, 585, 9046, 9502, 454, 3682, 21793, 1058, 581, 3989, 607, 513, 968, 338, 565, 15344, 3077, 892, 630, 28808, 1090, 267, 476, 1001, 273, 267, 533, 269, 3393, 264, 585, 3797, 269, 769, 824, 1913, 267, 1018, 568, 519, 5551, 6364, 563, 3682, 21793, 1590, 2992, 519, 7817, 779, 1699, 1377, 540, 8647, 543, 7001, 741, 1483, 3734, 2042, 563, 3682, 21793, 616, 1808, 543, 2966, 609, 606, 1367, 7817, 538, 2247, 1759, 593, 1239, 10356, 269, 901, 786, 5351, 538, 519, 1646, 540, 707, 2126, 1544, 563, 2710, 711, 1331, 2930, 3822, 267, 610, 7811, 2035, 269, 1452, 1919, 2992, 513, 4791, 8367, 269, 2659, 3804, 568, 547, 17412, 4681, 689, 707, 1239, 11018, 269, 901, 666, 1450, 585, 513, 13309, 547, 8415, 8726, 3069, 1522, 1655, 4019, 693, 513, 2663, 1448, 269, 9105, 3054, 952, 1018, 596, 2461, 1603, 1524, 568, 521, 8367, 610, 513, 1966, 4214, 563, 6826, 18762, 540, 875, 707, 2418, 543, 12886, 1522, 2681, 707, 1620, 540, 519, 7817, 779, 2042, 269, 968, 9989, 519, 1966, 2140, 2992, 519, 7817, 779, 2418, 9495, 630, 28808, 1090, 267, 476, 1001, 273, 267, 264, 9572, 327, 277, 283, 454, 22081, 798, 596, 6023, 513, 1592, 540, 476, 736, 610, 811, 2042, 286, 634, 3070, 568, 561, 18804, 543, 24590, 269, 700, 18804, 3322, 9256, 5094, 2042, 883, 513, 2582, 1966, 892, 630, 28808, 1090, 267, 476, 1001, 272, 267, 533, 269, 476, 4649, 1040, 901, 568, 3730, 952, 4191, 543, 2589, 16937, 543, 6565, 689, 1455, 2014, 269, 12769, 31531, 267, 713, 1522, 4125, 519, 13345, 540, 606, 22597, 2140, 269, 2060, 6364, 3853, 585, 1142, 1016, 268, 19370, 269, 590, 5902, 1154, 3322, 968, 323, 1204, 532, 835, 1966, 883, 5094, 2042, 2507, 892, 630, 28808, 1090, 267, 476, 29720, 273, 267, 6032, 269, 476, 6321, 264, 2382, 1734, 538, 799, 24590, 1522, 581, 3730, 1331, 1346, 2665, 538, 799, 5094, 5574, 616, 2877, 610, 952, 713, 11226, 538, 9355, 2676, 7661, 267, 581, 2386, 707, 1966, 1592, 568, 2347, 543, 3102, 269, 968, 763, 522, 3939, 540, 2042, 568, 513, 1454, 811, 3978, 5470, 982, 10014, 540, 1932, 1082, 2042, 892, 630, 28808, 1090, 267, 476, 1001, 273, 267, 533, 269, 476, 2568, 1040, 0, 2005, 568, 547, 519, 1390, 543, 9434, 5491, 540, 700, 3036, 2894, 313, 645, 15121, 299, 2207, 543, 1010, 1153, 602, 789, 723, 538, 519, 2063, 8717, 2919, 543, 7152, 865, 8499, 519, 2553, 585, 519, 15061, 2359, 540, 18655, 269, 11048, 972, 723, 2141, 1044, 1082, 267, 1519, 930, 689, 645, 15121, 299, 2207, 24202, 1153, 267, 945, 723, 1336, 9645, 1747, 585, 10551, 2359, 267, 543, 609, 519, 1713, 3356, 538, 2489, 6391, 2938, 538, 2022, 8705, 1296, 267, 513, 1007, 17003, 814, 1044, 2016, 547, 713, 851, 540, 15779, 6391, 267, 2523, 2094, 5642, 7063, 723, 1831, 811, 1950, 543, 7928, 269, 634, 1523, 540, 4835, 30651, 568, 711, 1007, 269, 634, 3978, 30852, 602, 723, 1044, 1377, 1194, 693, 621, 11677, 2221, 741, 2596, 4644, 269, 18776, 538, 519, 4610, 540, 513, 572, 24247, 267, 14809, 6954, 4496, 18032, 267, 1766, 894, 1995, 543, 2022, 10869, 1416, 814, 21022, 519, 12178, 855, 814, 711, 17212, 1386, 519, 18874, 540, 5539, 269, 634, 5948, 585, 519, 5530, 540, 519, 10819, 540, 18378, 674, 1460, 566, 630, 288, 302, 264, 814, 13991, 3294, 936, 513, 1297, 540, 1296, 547, 519, 2596, 3741, 543, 1655, 2409, 540, 1930, 2126, 540, 18655, 676, 1797, 540, 6905, 4791, 543, 3621, 2090, 538, 1931, 547, 3313, 538, 1142, 1367, 2013, 519, 1034, 9621, 1899, 540, 2126, 269, 2311, 519, 1482, 942, 513, 1134, 2966, 543, 7318, 6293, 1305, 814, 1044, 2919, 609, 5730, 5528, 585, 519, 3617, 2553, 269, 1306, 513, 1267, 267, 519, 1007, 7422, 827, 3119, 5642, 7067, 799, 723, 7153, 689, 519, 2259, 540, 14461, 4835, 30651, 616, 607, 4277, 607, 519, 3096, 547, 799, 789, 666, 581, 2322, 538, 3850, 2038, 4254, 16478, 269, 13153, 28228, 28705, 267, 631, 269, 661, 269, 3768, 18135, 30977, 267, 674, 269, 3768, 32544, 267, 645, 269, 717, 269, 3768, 17020, 328, 267, 654, 269, 3768, 2349, 5255, 267, 670, 269, 681, 269, 3768, 2353, 326, 7238, 4546, 267, 631, 269, 3768, 4024, 523, 1122, 3455, 267, 670, 269, 3768, 631, 2163, 15595, 518, 267, 589, 269, 3768, 5576, 928, 3187, 267, 681, 269, 3768, 23415, 655, 2335, 267, 590, 269, 3768, 21540, 332, 6686, 28705, 267, 717, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 4441, 689, 5337, 15667, 547, 24348, 547, 23009, 545, 4224, 949, 1382, 1114, 5013, 827, 1142, 540, 256, 2349, 1678, 3515, 543, 1246, 1082, 2009, 10092, 2429, 519, 18888, 519, 717, 714, 15879, 269, 5337, 15667, 547, 24348, 547, 936, 256, 19648, 281, 946, 519, 6516, 1657, 547, 4888, 14684, 2207, 519, 5999, 2630, 2653, 3562, 22345, 2203, 875, 269, 4515, 3796, 540, 1004, 3957, 4224, 18888, 1187, 585, 707, 1053, 3163, 476, 275, 628, 6103, 3163, 3163, 16497, 4065, 1862, 4841, 2594, 519, 3527, 602, 3361, 519, 1689, 538, 741, 3556, 10070, 1648, 8904, 29755, 11761, 267, 2604, 543, 14333, 616, 851, 540, 519, 4224, 18888, 7179, 719, 543, 4224, 18888, 6728, 23009, 545, 1862, 12810, 14550, 519, 3126, 540, 3157, 543, 5049, 540, 7725, 1524, 689, 3047, 11313, 521, 543, 1862, 6452, 867, 542, 27412, 568, 513, 1187, 3946, 593, 2534, 585, 1053, 547, 946, 538, 741, 7317, 31940, 875, 519, 4224, 6728, 256, 12810, 14550, 519, 3126, 540, 3157, 543, 5049, 540, 7725, 6902, 24348, 267, 23009, 545, 4224, 543, 621, 256, 623, 19991, 540, 4224, 3001, 998, 519, 4224, 18888, 22295, 7728, 20796, 16775, 4047, 4953, 4888, 14684, 2207, 26395, 312, 13505, 1948, 476, 272, 281, 5530, 808, 4461, 268, 13772, 3381, 256, 8422, 1292, 2010, 540, 7725, 543, 519, 4773, 6410, 1472, 676, 11761, 7317, 31940, 607, 18888, 1862, 19715, 543, 1246, 1082, 2009, 10092, 2429, 519, 18888, 689, 835, 2186, 547, 1776, 476, 273, 910, 10435, 1299, 281, 256, 4746, 29156, 607, 513, 7801, 1433, 267, 607, 1134, 607, 596, 666, 267, 875, 519, 4224, 6096, 256, 12810, 14550, 519, 3126, 540, 2067, 3157, 602, 1106, 873, 267, 24348, 543, 23009, 545, 907, 3683, 942, 1020, 513, 2203, 540, 875, 7725, 666, 1689, 936, 942, 2534, 1053, 256, 4256, 1378, 7045, 946, 519, 6516, 1657, 547, 4888, 14684, 2207, 519, 5999, 2630, 1134, 607, 666, 269, 24439, 1565, 519, 4224, 607, 5337, 15667, 267, 24348, 543, 23009, 545, 7725, 1018, 789, 1265, 593, 519, 3177, 10145, 3515, 2534, 269, 2659, 1053, 2679, 543, 4070, 1759, 593, 741, 3601, 24348, 4224, 547, 936, 1862, 589, 5299, 540, 519, 4224, 18888, 7725, 616, 1031, 1106, 2679, 543, 4070, 1759, 593, 741, 3601, 1283, 8847, 256, 7085, 687, 540, 1296, 585, 7725, 547, 1689, 998, 519, 4224, 18888, 6096, 267, 649, 256, 6423, 1896, 2147, 5961, 547, 2347, 713, 3296, 547, 23009, 545, 936, 942, 3381, 547, 2347, 1312, 5011, 519, 269, 17186, 540, 4773, 519, 4224, 18888, 5915, 334, 547, 1397, 519, 1614, 1292, 2010, 540, 7725, 602, 909, 1862, 18888, 10503, 875, 513, 4224, 666, 581, 7745, 1524, 519, 4224, 4783, 2534, 2985, 29056, 543, 519, 22276, 2186, 1776, 256, 6732, 2534, 6656, 4358, 4087, 543, 519, 4224, 4783, 2534, 2985, 1082, 2009, 10092, 2429, 519, 18888, 568, 1572, 519, 4224, 18888, 20796, 16775, 4047, 4953, 256, 8844, 4464, 267, 789, 8095, 29628, 568, 519, 1279, 267, 3500, 3460, 540, 7725, 543, 519, 602, 1862, 25792, 10092, 2429, 519, 18888, 18888, 7725, 616, 1031, 1106, 2679, 543, 4070, 1759, 741, 256, 2983, 334, 11043, 942, 543, 8093, 5250, 18888, 6728, 29156, 607, 513, 7801, 1433, 607, 256, 7827, 689, 5337, 15667, 547, 24348, 547, 23009, 545, 936, 942, 891, 2621, 4755, 267, 1053, 2594, 519, 3527, 602, 519, 256, 1215, 519, 4224, 18888, 3575, 540, 4773, 519, 4224, 18888, 581, 513, 5299, 540, 519, 18888, 269, 715, 3139, 4224, 18888, 22295, 7728, 20796, 16775, 4047, 4953, 4888, 14684, 2207, 26395, 312, 13505, 1948, 519, 4224, 4783, 2534, 2985, 281, 5530, 808, 4461, 268, 13772, 519, 547, 1862, 9412, 18888, 6728, 543, 8760, 540, 5337, 15667, 267, 24348, 543, 23009, 545, 7725, 998, 1862, 1677, 2259, 1585, 2979, 3584, 267, 23009, 545, 4224, 1018, 789, 1265, 593, 519, 3177, 10145, 3515, 5299, 540, 519, 18888, 256, 1284, 786, 5530, 519, 5250, 543, 8760, 540, 5337, 15667, 267, 24348, 4224, 267, 23009, 545, 267, 543, 5337, 15667, 1948, 476, 272, 5530, 256, 1656, 8093, 5250, 5530, 519, 5250, 543, 8760, 540, 5337, 15667, 267, 24348, 543, 23009, 545, 7725, 666, 1896, 256, 20767, 21747, 4224, 547, 23009, 545, 936, 942, 519, 5250, 543, 8760, 540, 5337, 15667, 267, 24348, 267, 23009, 545, 543, 1862, 281, 875, 2067, 29056, 267, 11761, 267, 2604, 543, 14333, 616, 851, 540, 519, 18630, 1862, 18888, 281, 713, 4224, 18888, 543, 1246, 1082, 2009, 10092, 2429, 519, 18888, 676, 29056, 543, 22276, 269, 589, 4062, 540, 4224, 3001, 998, 519, 4224, 18888, 6728, 2621, 4755, 267, 1053, 2594, 3527, 563, 29919, 590, 2454, 6201, 267, 1548, 1772, 589, 3212, 4007, 582, 476, 21172, 6250, 2225, 13268, 267, 1215, 1677, 29799, 589, 7935, 5287, 9931, 570, 850, 267, 5545, 13019, 7534, 769, 340, 1280, 22312, 267, 5983, 3427, 2986, 5004, 28088, 267, 3689, 21222, 517, 7813, 6744, 532, 10055, 267, 7849, 12942, 595, 1571, 267, 32686, 7632, 267, 32686, 7632, 3883, 267, 774, 4026, 797, 21244, 11572, 9549, 267, 8585, 1027, 525, 590, 3149, 2549, 326, 12313, 476, 1001, 279, 267, 0, 2467, 616, 1896, 2010, 540, 4965, 269, 6431, 11962, 19591, 4524, 568, 4965, 602, 16569, 1079, 1296, 610, 811, 269, 589, 20200, 673, 4965, 267, 849, 1572, 4965, 609, 693, 2988, 673, 2934, 267, 3322, 1455, 2589, 540, 4965, 609, 824, 267, 1447, 1455, 3283, 269, 1452, 616, 2799, 14031, 267, 3389, 1465, 538, 707, 7916, 610, 7953, 267, 543, 4606, 540, 18349, 269, 2060, 693, 2988, 673, 4965, 267, 707, 4965, 666, 12740, 17303, 538, 3210, 547, 2318, 2621, 563, 5353, 1783, 531, 28146, 4524, 630, 306, 4696, 264, 568, 849, 711, 782, 519, 942, 267, 855, 568, 4965, 538, 3210, 547, 519, 12405, 269, 15380, 267, 590, 4696, 4386, 538, 519, 2887, 543, 5162, 3275, 267, 855, 621, 666, 1860, 930, 1004, 538, 5614, 543, 4832, 563, 289, 13633, 4524, 568, 6353, 676, 7920, 1164, 338, 1572, 812, 807, 543, 19591, 5712, 269, 5369, 5328, 4965, 568, 950, 596, 723, 4965, 2059, 609, 2589, 540, 2618, 2670, 267, 971, 607, 26390, 5209, 610, 1642, 16272, 563, 8070, 31691, 4965, 568, 2348, 2589, 540, 4965, 1310, 4758, 4332, 269, 2776, 5443, 11584, 531, 21619, 874, 7595, 13081, 568, 4965, 602, 14626, 1938, 609, 519, 1376, 540, 707, 1974, 563, 2252, 596, 616, 7680, 519, 2589, 540, 1022, 1826, 540, 4965, 267, 621, 779, 1271, 547, 3717, 547, 513, 2790, 1072, 3318, 269, 1358, 666, 1376, 596, 593, 513, 2619, 547, 2126, 543, 6051, 563, 2252, 596, 616, 10010, 609, 4965, 610, 513, 6219, 946, 4524, 267, 972, 568, 4126, 269, 2549, 9850, 18401, 15544, 3091, 1164, 7779, 2126, 585, 2790, 1072, 4713, 543, 8213, 538, 6703, 2066, 519, 2197, 269, 3776, 5234, 1765, 28236, 540, 7247, 616, 538, 6051, 2933, 1765, 732, 18164, 827, 519, 2956, 540, 8156, 1071, 31507, 2590, 4713, 1927, 269, 11910, 606, 23504, 11285, 693, 476, 25148, 268, 6795, 274, 268, 1822, 276, 269, 0, 2005, 779, 3592, 7543, 547, 4952, 513, 1554, 1510, 2029, 1107, 585, 1383, 267, 707, 16979, 267, 602, 835, 3926, 602, 596, 666, 1491, 10876, 602, 6411, 607, 2780, 267, 8254, 267, 2575, 543, 7260, 6345, 543, 811, 269, 634, 4720, 540, 891, 3457, 814, 1044, 4028, 269, 3807, 513, 1906, 1296, 3516, 267, 2789, 3457, 1131, 581, 2877, 547, 30593, 707, 16979, 779, 5301, 563, 6546, 3818, 1922, 4233, 1275, 267, 9141, 676, 4028, 6639, 5647, 543, 1374, 267, 568, 1818, 938, 2729, 4443, 1169, 1554, 267, 855, 621, 849, 2501, 609, 519, 20772, 602, 649, 1589, 6619, 547, 1141, 789, 786, 1439, 909, 950, 789, 3914, 519, 1439, 540, 741, 3730, 1272, 269, 15733, 616, 3478, 4130, 267, 14402, 543, 811, 13476, 3608, 269, 6875, 8613, 5036, 281, 1079, 5756, 3516, 267, 1034, 10820, 941, 18175, 15665, 689, 741, 2025, 4605, 2389, 4209, 7641, 338, 267, 1419, 20604, 811, 982, 476, 2412, 13532, 267, 547, 11919, 7641, 338, 269, 3502, 1152, 941, 11919, 7641, 338, 4130, 543, 14402, 267, 789, 4389, 741, 2825, 11640, 609, 21273, 1374, 543, 2326, 563, 8253, 1454, 2663, 267, 700, 7374, 7641, 338, 8719, 11919, 7641, 338, 267, 543, 616, 1631, 1373, 8719, 609, 1018, 568, 2219, 547, 581, 519, 1034, 13476, 3608, 543, 5100, 569, 2966, 7641, 547, 4266, 267, 10896, 7641, 338, 267, 799, 946, 7864, 2326, 543, 4688, 1648, 563, 1607, 18965, 2344, 7004, 568, 1018, 568, 11173, 547, 5397, 519, 18329, 15733, 27822, 5948, 540, 645, 5861, 1421, 606, 2872, 21445, 267, 711, 16519, 17416, 3919, 25461, 609, 5009, 543, 5883, 519, 9657, 540, 1439, 6361, 3734, 11418, 563, 289, 5861, 269, 729, 835, 540, 519, 1101, 16899, 547, 2154, 2872, 547, 1491, 5539, 585, 11418, 9657, 538, 476, 1220, 278, 269, 3414, 519, 3060, 540, 476, 26297, 11418, 4015, 4609, 267, 17776, 268, 2005, 12814, 3493, 1824, 267, 10685, 1491, 25746, 6753, 543, 4244, 6749, 11325, 2621, 538, 645, 5861, 1421, 649, 4076, 6394, 543, 13381, 476, 14530, 267, 1822, 11973, 19726, 540, 11418, 267, 799, 568, 6697, 547, 476, 1691, 267, 4335, 2407, 10859, 13652, 32078, 24568, 2698, 267, 649, 723, 11651, 1540, 811, 982, 476, 736, 269, 274, 2929, 3457, 689, 26071, 563, 763, 1434, 3377, 568, 267, 476, 3199, 2600, 540, 645, 5861, 269, 7264, 917, 875, 543, 1141, 547, 26565, 540, 1439, 6361, 1272, 11418, 538, 606, 13476, 7874, 1259, 269, 21768, 6938, 645, 5861, 269, 814, 5249, 29367, 547, 1118, 11418, 9657, 3015, 281, 1004, 1810, 1406, 723, 547, 979, 2484, 547, 22120, 741, 28572, 11418, 269, 769, 1249, 267, 936, 476, 7176, 260, 540, 7460, 7264, 2661, 1369, 476, 1789, 3764, 540, 513, 1244, 582, 538, 4683, 2127, 543, 1369, 476, 3393, 3764, 538, 6917, 2127, 563, 15761, 2105, 16073, 5539, 3292, 267, 5189, 538, 519, 11662, 936, 519, 2250, 1079, 5756, 267, 723, 2938, 2872, 8263, 5539, 585, 1439, 6361, 3734, 2359, 540, 3688, 971, 607, 11418, 267, 20892, 11149, 267, 5862, 267, 1031, 3282, 267, 18646, 543, 9075, 269, 630, 2690, 513, 2407, 1592, 540, 7608, 2472, 3643, 281, 2132, 32717, 28022, 270, 19491, 16361, 9706, 20094, 994, 4263, 519, 2295, 540, 6905, 16073, 5539, 568, 519, 2856, 602, 5473, 12696, 538, 519, 1184, 540, 9657, 5370, 693, 519, 1439, 540, 741, 1272, 786, 5000, 2242, 538, 1587, 1374, 543, 5542, 540, 2326, 547, 2569, 1764, 543, 3653, 269, 901, 267, 2059, 609, 7082, 3747, 585, 2472, 602, 2015, 519, 3003, 1272, 4783, 267, 11479, 12696, 547, 1118, 543, 6133, 2472, 602, 616, 811, 14463, 543, 4264, 267, 6028, 513, 4130, 2825, 11640, 563, 4407, 11418, 3136, 547, 11457, 538, 741, 1374, 585, 519, 1604, 267, 21768, 6938, 645, 5861, 269, 666, 1406, 11716, 519, 4015, 543, 9657, 540, 28572, 2472, 865, 789, 1810, 1406, 1439, 909, 538, 26071, 269, 901, 968, 6973, 534, 3653, 892, 568, 519, 1034, 7199, 543, 7294, 547, 22120, 267, 543, 3762, 513, 8273, 1764, 593, 519, 1604, 1058, 621, 1439, 909, 538, 513, 25087, 563, 7968, 6938, 645, 5861, 269, 543, 17776, 268, 2005, 12814, 3136, 547, 5397, 7082, 4656, 593, 519, 2956, 540, 24263, 909, 891, 2472, 267, 543, 4180, 789, 3914, 513, 4015, 3135, 547, 581, 13381, 19100, 269, 1306, 519, 11418, 2872, 7575, 4724, 14402, 267, 4130, 267, 12947, 23341, 2472, 267, 713, 786, 2569, 519, 9522, 333, 720, 540, 3457, 6394, 12422, 269, 1677, 602, 1439, 267, 607, 649, 9784, 713, 2318, 7678, 540, 9910, 4405, 1436, 267, 519, 2872, 786, 3136, 547, 1847, 689, 14553, 2597, 2861, 14573, 547, 824, 267, 811, 6209, 10832, 1519, 1857, 4656, 267, 1982, 1569, 543, 13418, 563, 8256, 28366, 2221, 267, 609, 15398, 2825, 4656, 267, 543, 9755, 602, 5397, 2825, 5907, 1587, 1374, 1927, 2673, 519, 8520, 538, 9657, 779, 9764, 4346, 269, 18329, 2472, 786, 3136, 547, 11457, 547, 581, 4130, 267, 14402, 267, 811, 7561, 2966, 543, 6148, 835, 1554, 267, 4628, 23431, 543, 6691, 762, 563, 7968, 6938, 645, 5861, 269, 3788, 8149, 547, 1373, 513, 6205, 538, 519, 19642, 2146, 543, 3246, 13476, 3280, 2359, 540, 1439, 6361, 3734, 11418, 865, 602, 649, 666, 3136, 547, 948, 3703, 9069, 2103, 8831, 2470, 779, 15549, 344, 563, 2414, 1265, 519, 4015, 3135, 14191, 547, 596, 267, 3643, 281, 17776, 268, 2005, 28022, 270, 16978, 16361, 13624, 23148, 610, 1289, 476, 272, 268, 8517, 268, 20065, 268, 9032, 277, 278, 563, 1607, 1543, 568, 23032, 269, 0, 21080, 2951, 711, 1152, 4838, 2213, 519, 3560, 2872, 267, 855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 825, 3116, 912, 1038, 2132, 8771, 454, 258, 276, 269, 1290, 2889, 8663, 4406, 2803, 13660, 2364, 15606, 22562, 3698, 735, 549, 8663, 291, 340, 2364, 15606, 17338, 320, 2187, 825, 5918, 2364, 5964, 815, 8771, 454, 825, 30458, 31699, 4590, 8931, 825, 2063, 19368, 815, 834, 4840, 825, 952, 7003, 17338, 320, 264, 3436, 476, 272, 912, 1038, 585, 3693, 538, 30458, 912, 2018, 952, 3693, 2652, 2063, 19368, 912, 3546, 5918, 2364, 5964, 815, 6936, 454, 2018, 2063, 19368, 815, 3693, 454, 825, 2132, 5918, 2364, 5964, 28329, 258, 277, 269, 16907, 32057, 4406, 2803, 13660, 2364, 15606, 454, 3698, 18664, 32057, 291, 340, 2364, 15606, 17338, 320, 2187, 825, 30458, 31699, 4590, 825, 2063, 19368, 815, 834, 5016, 825, 585, 3693, 538, 30458, 912, 1038, 952, 3693, 2652, 2063, 19368, 912, 2018, 30458, 31927, 16216, 2211, 994, 1038, 2063, 19368, 815, 3693, 2018, 692, 825, 2132, 30458, 692, 3698, 1292, 10031, 825, 1948, 8266, 553, 11305, 23565, 553, 1629, 334, 454, 825, 30458, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 825, 30458, 273, 815, 1496, 276, 2639, 825, 30458, 274, 815, 1496, 272, 267, 273, 2639, 825, 30458, 275, 815, 1496, 272, 267, 273, 267, 276, 267, 275, 2639, 825, 30458, 276, 815, 1496, 272, 267, 272, 267, 272, 267, 273, 2639, 825, 30458, 277, 815, 1496, 272, 267, 273, 267, 274, 267, 273, 267, 275, 2639, 825, 30458, 278, 815, 1496, 272, 267, 273, 267, 276, 267, 276, 267, 278, 2639, 825, 1948, 3682, 8663, 8342, 322, 542, 476, 272, 3097, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 272, 5602, 825, 1820, 17338, 320, 10907, 636, 592, 3385, 17338, 320, 272, 4917, 825, 1820, 17338, 320, 10907, 636, 592, 3385, 17338, 320, 273, 4917, 825, 1948, 3682, 8663, 8342, 322, 542, 476, 273, 3097, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 273, 8442, 8931, 825, 1820, 4433, 514, 13695, 10013, 531, 528, 17338, 320, 272, 4917, 825, 1820, 4433, 514, 13695, 10013, 531, 528, 17338, 320, 274, 4917, 825, 1948, 3682, 8663, 8342, 322, 542, 476, 274, 3097, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 274, 5602, 825, 1820, 17338, 320, 302, 6113, 523, 3385, 17338, 320, 272, 4917, 825, 1820, 17338, 320, 302, 6113, 523, 3385, 17338, 320, 275, 4917, 825, 1948, 3682, 8663, 8342, 322, 542, 476, 275, 454, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 275, 5602, 825, 1820, 263, 1260, 2889, 8663, 2304, 8183, 320, 2891, 3570, 14824, 3534, 320, 27363, 825, 1820, 263, 1260, 2889, 8663, 2304, 8183, 320, 2891, 300, 7702, 14824, 305, 5448, 27363, 825, 1820, 263, 1260, 2889, 8663, 2304, 8183, 320, 2891, 15916, 14824, 295, 7637, 27363, 825, 1948, 2889, 8663, 8342, 322, 542, 476, 276, 454, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 276, 5602, 825, 1820, 263, 1260, 2889, 8663, 291, 340, 2364, 15606, 17338, 320, 278, 4917, 825, 1820, 263, 1260, 2889, 8663, 291, 340, 2364, 15606, 17338, 320, 272, 4917, 825, 1948, 2889, 8663, 8342, 322, 542, 476, 277, 454, 825, 1820, 2891, 11266, 16604, 289, 3008, 674, 7419, 5746, 2177, 476, 277, 5602, 825, 1820, 263, 4011, 32057, 291, 340, 2364, 15606, 17338, 320, 278, 4917, 825, 1820, 263, 4011, 32057, 291, 340, 2364, 15606, 17338, 320, 277, 4917, 825, 1820, 263, 4011, 32057, 291, 340, 2364, 15606, 17338, 320, 273, 4917, 10852, 4590, 0, 30360, 815, 10581, 9272, 2891, 13644, 371, 27447, 24662, 26166, 12255, 16088, 315, 333, 8442, 3418, 604, 24143, 2999, 476, 271, 610, 24143, 3436, 476, 272, 6769, 825, 1820, 2891, 19587, 5048, 14744, 19197, 24143, 13843, 476, 271, 269, 280, 6769, 825, 1820, 2891, 288, 14744, 19197, 24143, 13843, 476, 271, 269, 279, 6769, 825, 1820, 2891, 289, 14744, 19197, 24143, 13843, 476, 271, 269, 278, 6769, 825, 1820, 2891, 290, 14744, 19197, 24143, 13843, 476, 271, 269, 277, 6769, 825, 1820, 2891, 291, 14744, 19197, 24143, 2999, 476, 271, 269, 277, 6769, 825, 1820, 2891, 293, 8442, 0, 333, 25507, 9272, 3890, 3418, 31184, 284, 271, 1477, 328, 284, 271, 1477, 330, 284, 333, 1477, 6112, 562, 6769, 825, 678, 284, 333, 260, 1015, 1477, 825, 562, 284, 333, 2260, 1015, 1477, 825, 1775, 284, 328, 266, 335, 578, 16868, 267, 273, 3418, 825, 952, 562, 2525, 271, 543, 1775, 285, 284, 1015, 6769, 11434, 562, 284, 328, 1477, 11434, 1820, 3799, 3418, 11434, 1775, 284, 271, 1477, 604, 1775, 283, 1015, 6769, 825, 1820, 630, 328, 3418, 825, 952, 1775, 2525, 272, 6769, 1038, 1820, 17347, 2437, 529, 513, 6126, 1297, 14744, 825, 3116, 6769, 1038, 1820, 17347, 2437, 529, 711, 513, 6126, 1297, 14744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5075, 563, 291, 269, 10439, 14409, 13081, 910, 15176, 2702, 547, 1184, 3308, 1344, 5103, 3339, 3308, 1035, 8462, 267, 1419, 4611, 538, 1565, 9124, 780, 9654, 269, 10020, 540, 17496, 5516, 4889, 919, 538, 26472, 10439, 32185, 10341, 692, 4415, 922, 1279, 1686, 540, 1920, 19721, 1416, 543, 7029, 547, 7674, 6917, 2950, 267, 17496, 5516, 4889, 919, 2488, 1898, 1904, 6248, 2533, 6322, 693, 5009, 6099, 3308, 8226, 269, 966, 7563, 781, 2319, 540, 3810, 8036, 3750, 1416, 4648, 18252, 5969, 12967, 10368, 2645, 543, 2963, 2861, 2126, 4485, 547, 2232, 1585, 3308, 8226, 2152, 269, 5015, 267, 966, 7563, 8362, 22851, 538, 2146, 23793, 3292, 267, 5356, 1863, 5075, 32182, 543, 3872, 2200, 547, 3506, 267, 8808, 5321, 267, 543, 824, 3906, 269, 6270, 7341, 5512, 966, 7563, 547, 27481, 922, 5692, 540, 8380, 2550, 1101, 1247, 5807, 2635, 5075, 2066, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 1707, 5516, 4889, 919, 814, 922, 5072, 538, 1920, 3750, 1416, 543, 814, 2919, 1472, 713, 2856, 602, 2550, 1831, 1920, 269, 21231, 267, 538, 476, 3192, 278, 3220, 269, 6754, 13852, 543, 1010, 5067, 3220, 269, 23583, 13852, 24574, 1229, 741, 2259, 540, 13852, 1299, 13852, 609, 3220, 269, 6276, 744, 28952, 547, 1106, 17496, 5516, 4741, 269, 3973, 538, 476, 2735, 273, 267, 3220, 269, 6276, 681, 1276, 24673, 609, 713, 2468, 334, 547, 1106, 519, 1101, 17496, 5516, 4889, 919, 269, 634, 1101, 13646, 941, 538, 589, 828, 1372, 523, 543, 2826, 2023, 267, 855, 22994, 16466, 729, 4166, 547, 1246, 269, 3245, 972, 267, 609, 519, 6138, 540, 8744, 11108, 3782, 547, 6917, 3162, 21241, 267, 1896, 824, 6753, 941, 8118, 1472, 27040, 3162, 21241, 269, 17496, 5516, 4889, 919, 568, 1631, 3162, 21241, 779, 4102, 4830, 3060, 540, 3750, 1416, 4648, 609, 476, 736, 6753, 538, 3162, 21241, 543, 27228, 269, 2060, 519, 4797, 1840, 540, 1007, 2564, 2029, 543, 609, 519, 7214, 19070, 531, 540, 476, 866, 7189, 267, 17496, 5516, 4889, 919, 26770, 547, 3136, 741, 6138, 540, 968, 15209, 519, 3461, 1101, 892, 585, 1082, 1296, 547, 2097, 563, 309, 1707, 5516, 4889, 919, 685, 7189, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24058, 32185, 257, 607, 851, 540, 834, 25503, 1315, 8838, 5852, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 8581, 781, 29055, 10020, 538, 519, 2622, 540, 28645, 692, 5970, 596, 2479, 16545, 1141, 782, 1346, 14742, 10760, 909, 1164, 538, 519, 6607, 2097, 689, 286, 2107, 5310, 945, 22595, 873, 286, 4270, 267, 1577, 803, 2995, 596, 827, 606, 6909, 1650, 910, 835, 602, 13462, 8581, 547, 1034, 540, 519, 27858, 596, 1294, 16841, 256, 2334, 781, 1318, 282, 713, 1507, 6532, 4182, 593, 519, 6316, 540, 2342, 4249, 513, 7372, 1909, 538, 519, 2518, 18229, 2872, 269, 1924, 10544, 707, 10160, 10964, 1206, 267, 543, 1577, 781, 2263, 713, 4241, 1158, 1927, 2439, 16524, 1354, 649, 1223, 5577, 5196, 513, 7077, 585, 513, 1920, 16314, 610, 8038, 1472, 519, 8608, 585, 1870, 11401, 267, 1004, 26927, 3139, 540, 2921, 547, 519, 22839, 899, 5017, 269, 898, 7012, 1405, 2394, 519, 2038, 476, 736, 628, 2540, 950, 3425, 6368, 7307, 547, 1628, 6191, 5230, 2614, 547, 4163, 721, 620, 21510, 269, 16258, 4464, 5176, 32210, 1296, 2663, 267, 950, 1945, 9058, 5949, 538, 513, 1747, 1572, 1744, 27553, 267, 8581, 269, 901, 2370, 4884, 1131, 4166, 1831, 519, 26470, 540, 519, 3486, 18229, 6429, 2439, 1103, 519, 476, 3192, 271, 338, 267, 513, 812, 3957, 3220, 269, 25414, 24138, 3323, 606, 8484, 682, 2084, 2754, 1572, 2871, 514, 1145, 3212, 520, 28645, 610, 834, 294, 5183, 257, 538, 1744, 27553, 269, 1411, 1522, 4898, 1018, 8484, 682, 2084, 1797, 4010, 269, 6056, 540, 621, 607, 24228, 6517, 855, 3079, 540, 10519, 532, 6472, 689, 670, 1068, 345, 610, 27617, 267, 2011, 6050, 1205, 741, 14742, 689, 891, 682, 2084, 10909, 269, 3807, 899, 4687, 9162, 693, 12424, 267, 1114, 2477, 1491, 7140, 1210, 891, 14742, 1759, 593, 11650, 1500, 1063, 519, 1079, 6105, 3238, 780, 3086, 267, 1946, 3442, 1744, 27553, 267, 971, 513, 9583, 4351, 4087, 267, 547, 1376, 971, 513, 1713, 14679, 286, 1306, 9939, 1131, 723, 621, 267, 1394, 1287, 267, 21804, 1419, 2877, 547, 1201, 3241, 741, 1279, 3620, 4954, 19426, 1247, 15385, 519, 9533, 7909, 269, 1744, 27553, 23076, 729, 9985, 13883, 2059, 930, 2442, 8184, 10092, 267, 1818, 621, 606, 4998, 3247, 1478, 1448, 269, 2060, 942, 267, 811, 543, 811, 2011, 6050, 3459, 9301, 519, 2640, 540, 2348, 4296, 538, 1744, 27553, 267, 799, 6038, 5280, 17362, 519, 1259, 585, 717, 5183, 781, 1967, 780, 3528, 519, 476, 2735, 271, 338, 267, 717, 5183, 8057, 883, 2342, 781, 4102, 8484, 682, 2084, 2754, 1107, 7168, 11141, 267, 26001, 286, 19759, 569, 267, 789, 5185, 2182, 2053, 2509, 519, 1439, 540, 519, 1412, 3445, 338, 267, 855, 1810, 1405, 5855, 282, 1919, 3893, 1732, 1310, 602, 269, 1635, 1631, 267, 8581, 1185, 2907, 12236, 3294, 3833, 519, 10639, 1369, 519, 18229, 2146, 607, 513, 979, 3562, 5544, 585, 1312, 30226, 619, 543, 19023, 5716, 7567, 269, 4653, 267, 952, 596, 941, 547, 1293, 909, 782, 519, 23934, 14742, 865, 2130, 998, 7874, 22839, 5001, 267, 3368, 540, 873, 666, 10250, 741, 5072, 1394, 547, 8581, 2439, 3719, 1934, 2501, 1776, 10578, 2243, 281, 1215, 1281, 1373, 2282, 12084, 948, 8581, 2611, 2629, 538, 2221, 781, 3059, 2085, 1141, 1463, 1875, 17380, 19426, 4341, 18678, 286, 1284, 786, 10625, 602, 9814, 538, 938, 1985, 3184, 269, 1280, 1631, 267, 1175, 3314, 602, 2436, 621, 781, 2267, 2358, 936, 519, 4544, 6329, 540, 519, 9533, 610, 3695, 16678, 18353, 2066, 5607, 267, 972, 781, 2141, 513, 4062, 540, 8581, 10760, 1318, 7258, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 790, 267, 972, 543, 10876, 256, 1403, 596, 2461, 10760, 936, 519, 9533, 267, 7414, 610, 4095, 744, 10895, 267, 8458, 616, 602, 519, 7077, 596, 2461, 538, 814, 513, 4276, 547, 8581, 563, 296, 516, 1633, 814, 7153, 607, 513, 13398, 585, 519, 18229, 2872, 538, 519, 2063, 1906, 5756, 269, 3683, 476, 2004, 260, 540, 519, 682, 1078, 27858, 5665, 538, 1022, 851, 540, 519, 1158, 723, 513, 4276, 547, 8581, 269, 4107, 540, 519, 2518, 5010, 8484, 682, 2084, 3549, 723, 513, 4527, 538, 8581, 630, 291, 889, 4802, 610, 1744, 27553, 1040, 1809, 875, 1705, 8581, 1831, 32321, 543, 20749, 1271, 547, 519, 2872, 888, 289, 4361, 3778, 540, 9721, 28645, 454, 2252, 596, 2461, 538, 519, 18229, 2872, 267, 2871, 514, 1145, 3212, 520, 28645, 610, 717, 5183, 568, 513, 2012, 602, 596, 3580, 14678, 5431, 269, 3220, 269, 25414, 24138, 630, 1492, 24138, 5794, 543, 17224, 700, 532, 639, 674, 10133, 264, 3964, 717, 5183, 538, 476, 3192, 271, 338, 538, 1744, 27553, 267, 8581, 267, 543, 1282, 519, 476, 2735, 271, 779, 267, 621, 2968, 519, 3056, 3864, 8484, 1447, 528, 269, 4014, 717, 5183, 1185, 922, 31774, 538, 519, 3735, 476, 1960, 271, 338, 267, 676, 1287, 267, 8581, 1185, 1831, 513, 9921, 2344, 585, 519, 18229, 2872, 609, 1082, 5010, 1447, 832, 543, 18229, 1527, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 31336, 4252, 9315, 11814, 532, 692, 8702, 547, 519, 1158, 540, 10655, 5026, 6486, 256, 1411, 1522, 1589, 602, 1152, 6738, 13522, 2445, 1919, 899, 22827, 267, 11113, 267, 610, 13836, 6486, 267, 855, 7058, 1018, 286, 8866, 782, 1472, 519, 1158, 2972, 10655, 14912, 6486, 1932, 256, 898, 779, 1187, 267, 3872, 267, 543, 945, 6487, 267, 621, 1223, 1256, 1831, 3407, 14693, 269, 2913, 779, 4685, 883, 713, 4241, 15908, 1927, 780, 1432, 3657, 31336, 4252, 21998, 888, 10900, 13430, 9617, 899, 875, 11051, 543, 957, 19843, 723, 5961, 1572, 968, 3650, 3333, 1824, 2223, 9845, 849, 723, 741, 1378, 2027, 6337, 1634, 607, 9467, 6486, 610, 5026, 6486, 269, 1452, 1507, 21312, 8952, 1389, 2356, 13686, 5716, 685, 2592, 2059, 609, 930, 3877, 827, 873, 971, 607, 2012, 267, 2319, 267, 2990, 267, 543, 7194, 269, 31336, 4252, 6486, 616, 1175, 835, 1826, 540, 891, 1726, 25979, 21689, 779, 3688, 780, 3963, 9701, 1284, 11814, 31336, 4252, 21998, 888, 5785, 19030, 2467, 616, 1896, 4128, 1946, 1004, 2648, 11018, 14912, 6486, 1384, 2162, 2878, 303, 6842, 585, 31336, 4252, 4373, 20058, 267, 952, 596, 740, 648, 8384, 14912, 3756, 543, 1739, 707, 5172, 6887, 543, 5716, 267, 2348, 741, 6486, 666, 3142, 596, 6251, 547, 873, 269, 5994, 8066, 7812, 16888, 779, 887, 758, 773, 3556, 1107, 5863, 267, 1318, 2496, 2162, 2878, 9209, 2561, 21090, 4373, 30772, 267, 1142, 3556, 814, 922, 2189, 1374, 2609, 799, 949, 9029, 547, 1148, 12439, 269, 2368, 6486, 4183, 4190, 12383, 1247, 1866, 4159, 6422, 2962, 15833, 269, 9578, 267, 789, 2097, 538, 1585, 5546, 267, 7306, 267, 543, 26088, 2439, 2162, 2878, 14532, 16497, 4373, 23612, 569, 267, 1169, 3556, 6645, 513, 1650, 269, 1635, 2542, 827, 5716, 685, 10080, 267, 10781, 267, 543, 2591, 267, 649, 1451, 1271, 4245, 538, 1686, 267, 16177, 267, 543, 1967, 780, 2162, 2878, 20059, 618, 31621, 4373, 15563, 267, 4686, 610, 3810, 8179, 8584, 1123, 6486, 666, 30321, 8101, 2724, 936, 942, 269, 1717, 267, 3314, 602, 713, 12582, 1406, 581, 519, 3119, 2601, 585, 4358, 513, 4015, 282, 2864, 267, 1577, 621, 581, 606, 3773, 22429, 780, 21093, 29035, 2060, 2659, 14635, 454, 5785, 21387, 28275, 707, 14912, 3556, 3460, 568, 2241, 1384, 272, 269, 2878, 13729, 513, 20907, 4995, 32341, 875, 1454, 596, 1616, 547, 6108, 12353, 610, 10865, 593, 11449, 6486, 269, 5457, 267, 2298, 3085, 1406, 2141, 1611, 7199, 269, 3509, 10097, 3681, 2291, 2228, 543, 693, 2199, 8637, 563, 273, 269, 2878, 16521, 513, 27484, 4995, 10312, 593, 1808, 3344, 899, 5172, 6887, 267, 5716, 267, 5036, 267, 610, 21971, 269, 901, 2306, 707, 4015, 23887, 543, 11791, 563, 567, 2608, 7078, 15846, 1403, 2274, 289, 1258, 6276, 568, 707, 31561, 267, 1376, 609, 1010, 887, 758, 773, 3556, 543, 4228, 547, 824, 12300, 8090, 2429, 1010, 4876, 563, 274, 269, 2878, 8340, 4675, 15533, 4995, 13363, 707, 10475, 9060, 1210, 5068, 19492, 1407, 610, 2182, 2665, 269, 6333, 3478, 12622, 619, 267, 11549, 4548, 267, 610, 10833, 547, 10891, 873, 28426, 563, 275, 269, 2878, 18794, 18877, 4995, 4045, 609, 8284, 19216, 998, 1514, 2923, 2516, 267, 15473, 267, 610, 15731, 1141, 596, 666, 4123, 4388, 267, 2984, 267, 543, 12212, 267, 6486, 2933, 780, 19522, 1280, 21988, 11814, 532, 454, 10900, 19030, 265, 10932, 15846, 6969, 9140, 1022, 3556, 267, 1382, 922, 1871, 267, 678, 10846, 267, 2783, 267, 543, 13597, 269, 2422, 18019, 2959, 543, 2645, 899, 3902, 10274, 610, 25488, 2164, 780, 265, 30812, 819, 25198, 15846, 11408, 6023, 6486, 5402, 547, 2061, 3441, 269, 15188, 873, 5265, 2476, 689, 1463, 7943, 267, 3002, 267, 7509, 267, 543, 10130, 780, 265, 8505, 5782, 30008, 6744, 15846, 2142, 18762, 950, 16565, 1164, 17032, 6486, 269, 6733, 856, 585, 4191, 540, 4831, 10623, 1746, 971, 607, 3765, 7955, 539, 16493, 267, 19514, 8728, 267, 11234, 23935, 267, 610, 4413, 335, 32478, 269, 1879, 538, 8969 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 17830, 11887, 519, 8700, 540, 891, 737, 1716, 1564, 543, 267, 18867, 267, 519, 5347, 1145, 540, 519, 4611, 5860, 7447, 780, 1103, 938, 3009, 6256, 267, 649, 723, 513, 1362, 602, 3096, 513, 717, 298, 14701, 2203, 585, 17683, 1239, 269, 634, 1362, 568, 3355, 1242, 609, 513, 476, 272, 8820, 17877, 5044, 2387, 318, 343, 5332, 517, 14706, 319, 543, 513, 19961, 16759, 1505, 2387, 330, 1372, 10734, 342, 8548, 1385, 18269, 634, 1362, 849, 814, 513, 2387, 323, 6943, 319, 543, 513, 2387, 32476, 319, 9936, 267, 799, 616, 1031, 547, 14574, 519, 1239, 1826, 543, 2436, 547, 5299, 519, 3403, 5044, 267, 6606, 780, 3499, 7090, 454, 5035, 3733, 12218, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 9041, 343, 5332, 517, 14706, 267, 737, 1372, 10734, 342, 8548, 1385, 267, 546, 6943, 284, 12639, 269, 15615, 5038, 267, 5299, 25716, 2187, 1038, 1582, 11519, 343, 5332, 517, 14706, 815, 5286, 15126, 263, 318, 343, 5332, 517, 14706, 267, 546, 6943, 284, 323, 6943, 267, 5299, 284, 32476, 994, 1038, 1582, 11519, 16780, 18344, 815, 717, 298, 1372, 300, 323, 331, 4311, 11519, 343, 5332, 517, 14706, 267, 737, 1372, 10734, 342, 8548, 1385, 2676, 4449, 3546, 546, 6943, 284, 323, 6943, 267, 5299, 25716, 994, 1038, 1582, 11519, 330, 1372, 8548, 323, 331, 815, 1582, 11519, 16780, 18344, 6230, 323, 331, 454, 1038, 1582, 11519, 30113, 331, 815, 1582, 11519, 17844, 8548, 323, 331, 1341, 1582, 11519, 330, 1372, 8548, 323, 331, 454, 8199, 763, 2387, 294, 298, 1372, 300, 323, 331, 319, 1843, 568, 3355, 1242, 609, 519, 3403, 1239, 543, 519, 19961, 16759, 1505, 269, 634, 2387, 30113, 331, 319, 14487, 540, 713, 1843, 568, 1287, 6740, 538, 519, 2387, 318, 330, 1372, 8548, 323, 331, 319, 14487, 540, 938, 1362, 269, 634, 2387, 318, 30113, 331, 319, 14487, 568, 519, 2040, 540, 2387, 318, 17844, 8548, 323, 331, 319, 543, 2387, 318, 330, 1372, 8548, 323, 331, 12452, 799, 616, 519, 3631, 585, 519, 4642, 19899, 3836, 851, 543, 519, 21714, 918, 14533, 25670, 6480, 11582, 851, 540, 519, 1239, 267, 6606, 780, 763, 2387, 523, 13892, 319, 1505, 540, 519, 1362, 568, 1031, 547, 31391, 513, 2016, 3403, 2387, 336, 343, 18269, 901, 1505, 1101, 11974, 952, 519, 3403, 568, 513, 476, 272, 8820, 17877, 5044, 543, 1287, 24508, 519, 1875, 25179, 2609, 540, 2387, 336, 343, 319, 883, 2387, 336, 343, 5332, 517, 14706, 18269, 634, 1505, 1287, 21410, 519, 2203, 585, 519, 4642, 19899, 3836, 851, 2387, 336, 17844, 8548, 323, 331, 319, 543, 519, 21714, 918, 14533, 25670, 6480, 11582, 851, 2387, 336, 330, 1372, 8548, 323, 331, 319, 540, 519, 3403, 543, 7024, 741, 2040, 780, 3499, 7090, 454, 3698, 31391, 4311, 267, 7117, 343, 2187, 825, 7117, 343, 815, 5286, 20311, 318, 272, 323, 32429, 343, 267, 5299, 25716, 994, 825, 7117, 343, 5332, 517, 14706, 815, 7117, 343, 314, 12639, 8542, 517, 14706, 32429, 343, 22708, 825, 7117, 17844, 8548, 323, 331, 815, 1582, 11519, 17844, 318, 16780, 18344, 269, 523, 13892, 32429, 343, 994, 825, 7117, 330, 1372, 8548, 323, 331, 815, 1582, 11519, 330, 1372, 318, 16780, 18344, 269, 523, 13892, 32429, 343, 5332, 517, 14706, 994, 825, 2132, 7117, 17844, 8548, 323, 331, 1341, 7117, 330, 1372, 8548, 323, 331, 454, 8199, 763, 1362, 849, 814, 1896, 3601, 602, 1450, 721, 547, 1569, 519, 1114, 2694, 540, 519, 2203, 269, 634, 2387, 17844, 8548, 323, 331, 319, 3959, 7024, 519, 2203, 585, 519, 4642, 19899, 3836, 851, 540, 519, 1239, 269, 634, 2387, 7171, 12296, 319, 3959, 7024, 519, 19961, 1031, 538, 519, 21714, 918, 14533, 25670, 6480, 11582, 269, 634, 2387, 330, 1372, 319, 3959, 7024, 519, 21714, 918, 14533, 25670, 6480, 11582, 1843, 269, 634, 2387, 330, 1372, 8548, 323, 331, 319, 3959, 7024, 519, 2203, 585, 519, 21714, 918, 14533, 25670, 6480, 11582, 851, 540, 519, 1239, 269, 634, 2387, 30113, 331, 319, 3959, 7024, 519, 2040, 540, 519, 3631, 585, 519, 4642, 19899, 3836, 851, 543, 519, 21714, 918, 14533, 25670, 6480, 11582, 851, 540, 519, 1239, 269, 7053, 267, 519, 2387, 343, 5332, 517, 14706, 319, 3959, 7024, 513, 5299, 540, 519, 1875, 25179, 2609, 540, 519, 3403, 1239, 780, 3499, 7090, 454, 287, 27393, 1399, 454, 3698, 1990, 328, 8548, 323, 331, 4311, 2187, 825, 2132, 1582, 11519, 17844, 8548, 323, 331, 692, 287, 27393, 1399, 454, 3698, 19961, 4311, 2187, 825, 2132, 1582, 11519, 330, 1372, 318, 16780, 18344, 269, 7171, 12296, 692, 287, 27393, 1399, 454, 3698, 737, 1372, 4311, 2187, 825, 2132, 1582, 11519, 330, 1372, 318, 16780, 18344, 21993, 1372, 692, 287, 27393, 1399, 454, 3698, 737, 1372, 8548, 323, 331, 4311, 2187, 825, 2132, 1582, 11519, 330, 1372, 8548, 323, 331, 692, 287, 27393, 1399, 454, 3698, 544, 323, 331, 4311, 2187, 825, 2132, 1582, 11519, 30113, 331, 692, 287, 27393, 1399, 454, 3698, 1535, 5332, 517, 14706, 4311, 2187, 825, 2132, 1582, 11519, 343, 5332, 517, 14706, 6983, 4878, 4590, 8199, 1103, 3932, 267, 713, 3009, 6256, 2488, 513, 1259, 547, 31391, 1239, 1210, 513, 21714, 918, 14533, 25670, 6480, 11582, 2203, 267, 799, 666, 581, 3730, 538, 1585, 3156, 267, 971, 607, 31096, 7020, 543, 1239, 5347, 532, 269, 634, 946, 540, 3601, 538, 519, 1362, 2636, 585, 2653, 1569, 547, 519, 1114, 2694, 540, 519, 2203, 267, 1818, 519, 3009, 811, 28505, 543, 2226, 762, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 318, 16780, 18344, 815, 717, 298, 1372, 300, 323, 331, 4311, 11519, 343, 5332, 517, 14706, 267, 737, 1372, 10734, 342, 8548, 1385, 2676, 4449, 7386, 546, 6943, 284, 323, 6943, 267, 5299, 25716, 994, 1038, 1582, 11519, 330, 1372, 8548, 323, 331, 815, 1582, 11519, 330, 1372, 318, 16780, 18344, 6230, 323, 331, 454, 1038, 1582, 11519, 30113, 331, 815, 1582, 11519, 17844, 8548, 323, 331, 1341, 1582, 11519, 330, 1372, 8548, 323, 331, 692, 825, 1219, 31391, 4311, 267, 7117, 343, 2187, 1038, 5727, 5319, 13892, 7117, 343, 692, 1038, 1488, 7714, 912, 2018, 7117, 343, 630, 272, 323, 5286, 1297, 5044, 2020, 1038, 16849, 912, 2018, 544, 323, 331, 630, 15615, 994, 1038, 8173, 1038, 7117, 343, 815, 5286, 20311, 318, 272, 323, 32429, 343, 267, 5299, 25716, 994, 1038, 7117, 343, 5332, 517, 14706, 815, 7117, 343, 314, 12639, 8542, 517, 14706, 32429, 343, 22708, 1038, 7117, 17844, 8548, 323, 331, 815, 1582, 11519, 17844, 318, 16780, 18344, 269, 523, 13892, 32429, 343, 994, 1038, 7117, 330, 1372, 8548, 323, 331, 815, 1582, 11519, 330, 1372, 318, 16780, 18344, 269, 523, 13892, 32429, 343, 5332, 517, 14706, 994, 1038, 2132, 7117, 17844, 8548, 323, 331, 1341, 7117, 330, 1372, 8548, 323, 331, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1990, 328, 8548, 323, 331, 4311, 2187, 1038, 2132, 1582, 11519, 17844, 8548, 323, 331, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 19961, 4311, 2187, 1038, 2132, 1582, 11519, 330, 1372, 318, 16780, 18344, 269, 7171, 12296, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 737, 1372, 4311, 2187, 1038, 2132, 1582, 11519, 330, 1372, 318, 16780, 18344, 21993, 1372, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 737, 1372, 8548, 323, 331, 4311, 2187, 1038, 2132, 1582, 11519, 330, 1372, 8548, 323, 331, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 544, 323, 331, 4311, 2187, 1038, 2132, 1582, 11519, 30113, 331, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1535, 5332, 517, 14706, 4311, 2187, 1038, 2132, 1582, 11519, 343, 5332, 517, 14706, 6983, 4878, 4590, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 593, 875, 547, 5721, 899, 513, 3318, 19002, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 513, 3532, 3635, 1572, 519, 834, 338, 333, 2255, 17945, 4666, 331, 3424, 2437, 799, 666, 948, 596, 2196, 5488, 267, 7914, 2362, 267, 543, 1831, 6793, 2949, 780, 5331, 1373, 2111, 547, 2196, 5488, 982, 4896, 3116, 593, 519, 13558, 2361, 610, 14912, 5480, 269, 1215, 15813, 1131, 602, 1745, 26834, 4270, 267, 609, 519, 1318, 2866, 267, 596, 666, 3035, 1346, 5686, 540, 2164, 543, 811, 269, 2334, 781, 1141, 519, 2879, 2255, 17945, 4666, 331, 3424, 2501, 538, 780, 5575, 267, 1577, 781, 2736, 1524, 1018, 713, 3635, 3322, 269, 26243, 267, 596, 3513, 581, 17666, 513, 3046, 10428, 1055, 519, 2666, 1210, 513, 2647, 17945, 630, 7474, 781, 519, 834, 338, 333, 2255, 17945, 257, 851, 1040, 5221, 707, 3946, 786, 581, 5116, 2417, 6306, 982, 8912, 267, 707, 1560, 786, 581, 7142, 883, 513, 2539, 4358, 2990, 269, 901, 1797, 602, 6091, 899, 707, 8423, 1598, 902, 267, 1350, 2373, 267, 543, 25637, 786, 723, 547, 960, 3063, 2182, 547, 12740, 519, 2597, 269, 1656, 950, 891, 6091, 616, 2178, 543, 3532, 267, 596, 3513, 581, 2111, 547, 1847, 5488, 543, 811, 14885, 1947, 593, 519, 18942, 2361, 780, 3086, 267, 594, 917, 1018, 596, 2811, 3206, 910, 1946, 711, 1175, 798, 2834, 4666, 331, 22284, 3079, 286, 2755, 1312, 5751, 616, 1390, 585, 2679, 4222, 543, 1379, 267, 519, 2879, 2255, 17945, 4666, 331, 3424, 814, 930, 2189, 2640, 269, 1280, 835, 3364, 267, 1317, 540, 519, 9962, 1688, 13307, 267, 596, 3513, 581, 2324, 1114, 6091, 982, 596, 1131, 1282, 513, 2757, 4666, 331, 3424, 269, 3958, 267, 519, 2879, 2255, 17945, 4666, 331, 3424, 3340, 3152, 10688, 543, 8112, 267, 2523, 538, 519, 17525, 543, 25637, 269, 1924, 676, 6220, 713, 3635, 883, 707, 15904, 6296, 267, 596, 3513, 711, 1152, 1831, 6793, 855, 849, 811, 26227, 543, 562, 574, 1076, 780, 8170, 1576, 267, 607, 609, 1022, 1007, 3635, 267, 621, 781, 1271, 547, 8897, 883, 1919, 7930, 543, 1445, 593, 1106, 936, 7274, 269, 1879, 596, 1101, 2119, 856, 519, 2879, 2255, 17945, 4666, 331, 3424, 267, 1376, 609, 513, 17426, 543, 2259, 3478, 6899, 609, 519, 5163, 269, 3245, 972, 267, 7444, 2333, 519, 2597, 607, 596, 1628, 6015, 543, 5578, 269, 1656, 3314, 267, 2141, 6432, 547, 707, 1560, 543, 3247, 952, 1945, 7959, 4636, 610, 11213, 269, 8881, 1058, 2141, 2097, 1101, 2439, 3383, 1631, 602, 596, 1174, 519, 9238, 540, 519, 2879, 2255, 17945, 4666, 331, 3424, 267, 1577, 781, 2911, 827, 875, 596, 666, 6451, 621, 883, 707, 1378, 8516, 20786, 269, 1403, 596, 2811, 3978, 827, 5355, 707, 3432, 543, 22231, 593, 519, 18942, 2361, 267, 2015, 4946, 713, 3635, 547, 707, 12353, 6296, 269, 1411, 1522, 1376, 676, 3257, 476, 274, 5036, 540, 476, 276, 1065, 338, 693, 513, 9793, 2597, 267, 1287, 7930, 2810, 519, 7411, 607, 596, 1831, 6793, 269, 1656, 1810, 1405, 7340, 547, 3575, 538, 824, 3029, 540, 3635, 1932, 267, 971, 607, 4881, 267, 17259, 267, 543, 4187, 2866, 269, 1635, 2921, 513, 11455, 1935, 547, 8516, 267, 596, 3513, 2285, 3054, 519, 1655, 4960, 2009, 540, 8236, 707, 3853, 780, 1103, 3932, 267, 519, 2879, 2255, 17945, 4666, 331, 3424, 568, 606, 11212, 2500, 3635, 585, 9845, 3168, 547, 5818, 741, 3432, 267, 1379, 267, 543, 22231, 269, 2060, 922, 2189, 4999, 540, 4887, 19684, 543, 10688, 7569, 267, 713, 3635, 3091, 513, 2039, 540, 2640, 602, 979, 3564, 2241, 4222, 12374, 269, 1924, 2436, 596, 2811, 15691, 547, 20441, 593, 519, 4730, 2361, 610, 3274, 1616, 547, 3251, 3742, 543, 2635, 267, 2285, 519, 2879, 2255, 17945, 4666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1434, 2370, 6216, 20642, 15454, 9031, 328, 6474, 834, 536, 834, 15454, 2370, 6216, 20642, 1434, 9031, 328, 6474, 834, 15017, 288, 281, 513, 0, 9223, 281, 898, 729, 519, 5259, 6300, 24010, 945, 6026, 803, 827, 519, 1379, 540, 1373, 2186, 269, 769, 476, 1220, 279, 267, 594, 2451, 8050, 547, 1353, 4805, 538, 5507, 269, 3733, 3237, 1185, 547, 3142, 909, 476, 1250, 1614, 7820, 19946, 543, 1079, 7820, 14552, 267, 865, 594, 1336, 1614, 851, 6066, 6009, 547, 2628, 585, 1250, 2090, 269, 594, 5249, 2038, 544, 1941, 902, 543, 3735, 17334, 267, 865, 594, 729, 13110, 267, 2731, 13110, 267, 782, 519, 942, 269, 1133, 331, 3089, 1176, 267, 594, 3893, 513, 4411, 543, 1185, 513, 1360, 1164, 8611, 269, 5221, 594, 729, 1007, 538, 5507, 267, 594, 1185, 1100, 2828, 269, 14755, 267, 594, 729, 1932, 21183, 547, 2911, 609, 1866, 543, 2307, 1866, 585, 948, 269, 2991, 12008, 593, 519, 5127, 585, 1079, 2395, 267, 594, 4682, 856, 547, 1205, 930, 1426, 269, 15394, 267, 594, 4682, 547, 519, 2706, 21466, 267, 855, 713, 942, 594, 4682, 883, 519, 5259, 6300, 267, 513, 1507, 7944, 6300, 267, 1317, 621, 729, 6251, 269, 594, 13603, 909, 930, 1426, 543, 5795, 621, 547, 519, 6300, 24010, 267, 945, 4280, 803, 267, 1412, 2791, 1413, 15265, 267, 1250, 7911, 256, 1411, 616, 711, 4743, 1134, 267, 1318, 286, 262, 594, 1767, 962, 2464, 538, 513, 1970, 5639, 269, 2701, 11329, 693, 519, 2892, 9564, 567, 543, 3694, 594, 729, 9140, 543, 6035, 267, 1412, 296, 666, 1118, 596, 513, 26889, 267, 865, 596, 1810, 1405, 723, 547, 798, 621, 3054, 9538, 594, 21330, 1510, 6031, 513, 2262, 269, 1924, 267, 1352, 1500, 519, 26889, 543, 4280, 803, 547, 7227, 513, 4090, 269, 2701, 4682, 883, 519, 1394, 4055, 543, 3357, 1586, 609, 513, 12826, 540, 3905, 17339, 269, 1412, 2005, 786, 3636, 596, 909, 10086, 1352, 1767, 609, 513, 7874, 12837, 269, 1548, 2731, 3636, 539, 803, 909, 729, 711, 519, 17339, 269, 898, 729, 1200, 12837, 602, 5143, 803, 1352, 25374, 803, 269, 4173, 11587, 476, 1500, 803, 1589, 540, 1250, 3993, 269, 594, 729, 3833, 21183, 267, 855, 689, 602, 1554, 593, 267, 594, 1705, 711, 1577, 21183, 1145, 3247, 803, 689, 6158, 609, 543, 1373, 2186, 547, 1866, 269, 3767, 594, 960, 538, 513, 1453, 781, 6413, 538, 4000, 269, 594, 2648, 1250, 960, 543, 1004, 1472, 803, 269, 594, 2141, 3142, 1250, 12837, 543, 11587, 547, 873, 269, 1879, 1705, 519, 5856, 4734, 585, 5507, 888, 288, 269, 769, 476, 1220, 274, 563, 289, 269, 769, 476, 1220, 280, 563, 290, 269, 769, 476, 1220, 279, 563, 291, 269, 476, 1015, 1296, 3516, 563, 12585, 281, 595, 0, 9223, 281, 1977, 2197, 2575, 568, 849, 1634, 607, 567, 2197, 7262, 2575, 1547, 2005, 814, 513, 1360, 1279, 1686, 1547, 898, 2501, 689, 519, 12563, 8964, 540, 11082, 476, 689, 6628, 269, 13474, 2575, 3755, 2241, 2575, 543, 1913, 547, 2769, 4948, 4606, 971, 607, 20420, 267, 2648, 2073, 543, 18354, 1547, 2334, 568, 547, 2161, 2073, 2197, 2575, 6257, 1272, 1547, 898, 12909, 827, 2828, 543, 476, 14763, 2073, 18114, 543, 9897, 2073, 3484, 543, 7031, 907, 4658, 538, 1082, 2694, 540, 519, 1158, 899, 2197, 2575, 267, 1317, 3025, 666, 1174, 1018, 519, 2575, 568, 827, 1547, 13474, 7262, 2575, 2968, 2442, 1101, 1851, 10800, 2692, 903, 476, 538, 519, 1977, 7178, 24781, 1547, 21582, 2692, 903, 1185, 547, 1491, 1416, 540, 16933, 1554, 543, 3781, 269, 1879, 789, 941, 4805, 609, 519, 16933, 267, 789, 1419, 31025, 4190, 543, 12560, 8964, 547, 9041, 543, 547, 7753, 741, 1378, 4250, 1547, 5445, 941, 711, 1134, 268, 14445, 730, 543, 865, 789, 31025, 827, 741, 3232, 1272, 538, 1360, 2241, 1913, 1547, 5445, 5129, 1368, 527, 1513, 267, 3423, 1231, 269, 543, 824, 7405, 269, 769, 519, 5045, 540, 3013, 2073, 476, 1082, 1004, 3773, 7405, 689, 741, 5321, 2073, 899, 14569, 543, 838, 9398, 267, 1879, 10800, 2692, 903, 10272, 741, 2828, 543, 3885, 593, 14812, 899, 21175, 2073, 789, 2356, 31025, 543, 5129, 2197, 7262, 2575, 1547, 769, 2487, 1296, 2073, 28236, 12372, 723, 1500, 2197, 7262, 2575, 513, 2370, 1114, 689, 519, 835, 538, 519, 2250, 269, 4322, 2242, 1118, 519, 8964, 3280, 1256, 1732, 269, 9213, 2206, 619, 971, 607, 2961, 628, 15588, 338, 269, 3725, 9346, 5062, 22209, 790, 269, 2506, 332, 2643, 537, 20831, 269, 700, 1803, 11146, 1777, 267, 292, 9536, 773, 31594, 339, 267, 2274, 25486, 681, 1307, 267, 305, 22929, 3004, 6665, 543, 513, 1895, 1572, 17665, 616, 13465, 543, 4730, 538, 1114, 6163, 269, 5445, 723, 4547, 2197, 7262, 2575, 811, 543, 811, 11655, 689, 782, 936, 519, 530, 1245, 269, 2073, 269, 13474, 7262, 2575, 2501, 689, 519, 12563, 8964, 540, 11082, 689, 567, 9041, 454, 288, 269, 3013, 454, 289, 269, 5333, 454, 290, 269, 6628, 454, 291, 269, 5125, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 11204, 3635, 2025, 17774, 4580, 834, 536, 834, 2025, 11204, 3635, 17774, 4580, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 6904, 7823, 14380, 476, 9083, 876, 15432, 689, 922, 5836, 3490, 4352, 621, 568, 1152, 476, 22213, 276, 15432, 1657, 4262, 1377, 888, 12585, 281, 12103, 10044, 1183, 320, 538, 17761, 2967, 328, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 22036, 606, 544, 686, 11571, 1496, 27583, 316, 3550, 707, 2168, 4313, 269, 1496, 21163, 316, 4014, 596, 949, 581, 3908, 538, 875, 519, 11285, 4025, 596, 538, 519, 3684, 267, 581, 2386, 547, 2990, 3054, 538, 513, 1259, 602, 568, 6899, 269, 6875, 1022, 11311, 6527, 1354, 707, 5650, 267, 8259, 5143, 6382, 676, 707, 10629, 267, 538, 1931, 547, 2057, 1022, 9636, 269, 3097, 288, 269, 1496, 27583, 316, 13760, 519, 3017, 1063, 513, 524, 2742, 543, 513, 524, 339, 11571, 269, 1496, 21163, 316, 589, 524, 339, 11571, 18252, 16953, 6329, 267, 855, 23390, 538, 524, 2742, 11571, 6009, 547, 1184, 3706, 6652, 2432, 971, 607, 6114, 547, 606, 544, 686, 563, 289, 269, 1496, 27583, 316, 7827, 519, 21386, 540, 519, 8279, 538, 519, 4055, 269, 1496, 21163, 316, 13689, 593, 707, 12153, 267, 513, 18632, 610, 14402, 4055, 949, 1118, 596, 1745, 811, 693, 8897, 563, 290, 269, 15380, 267, 596, 786, 2347, 606, 6850, 15258, 328, 6945, 1991, 547, 1373, 8947, 585, 544, 686, 3441, 269, 901, 5650, 3322, 513, 3126, 540, 22809, 1373, 13351, 2066, 519, 18109, 547, 6494, 5122, 6786, 1394, 883, 707, 1560, 563, 291, 269, 1496, 11357, 25074, 316, 1717, 267, 621, 568, 16122, 547, 2708, 519, 2298, 540, 519, 3684, 865, 602, 596, 616, 6899, 607, 519, 5650, 568, 5571, 269, 1496, 27583, 316, 7827, 707, 9660, 2899, 596, 979, 547, 519, 544, 686, 13393, 563, 12585, 281, 645, 0, 9223, 281, 6890, 3279, 6499, 547, 723, 513, 12129, 5428, 10704, 1472, 6204, 742, 331, 15530, 269, 476, 3962, 29902, 6204, 742, 548, 7125, 585, 476, 279, 5798, 1142, 543, 519, 18397, 3283, 1289, 585, 476, 277, 5798, 1142, 269, 476, 2701, 6499, 547, 1118, 476, 274, 29902, 6204, 742, 331, 15530, 543, 476, 276, 18397, 6204, 742, 331, 15530, 585, 519, 5428, 269, 476, 1215, 1082, 5798, 786, 1352, 991, 888, 12585, 281, 634, 29902, 6204, 742, 331, 15530, 991, 476, 279, 5798, 1142, 543, 1352, 6499, 547, 1118, 476, 274, 540, 891, 865, 1352, 2115, 476, 279, 265, 274, 815, 24177, 279, 265, 274, 284, 2190, 9563, 2190, 5798, 634, 18397, 6204, 742, 331, 15530, 991, 476, 277, 5798, 1142, 543, 1352, 6499, 547, 1118, 476, 276, 540, 891, 865, 1352, 2115, 476, 277, 265, 276, 815, 24177, 277, 265, 276, 284, 1789, 9563, 1789, 5798, 1280, 519, 12129, 5428, 1352, 786, 991, 476, 2190, 266, 1789, 815, 24177, 2190, 266, 1789, 284, 7918, 9563, 7918, 5798, 538, 2698, 634, 2626, 568, 476, 7918, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8748, 3504, 13470, 10537, 6704, 4816, 834, 536, 834, 6704, 3504, 8748, 13470, 10537, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 1548, 3028, 1705, 1312, 594, 5142, 543, 19555, 525, 1685, 585, 519, 29331, 540, 10493, 639, 888, 12585, 281, 3190, 12310, 0, 9223, 281, 9861, 8191, 5511, 567, 14268, 1912, 29320, 899, 834, 339, 9528, 3158, 257, 543, 15234, 515, 997, 16239, 2385, 257, 723, 1500, 741, 1259, 883, 4948, 1893, 269, 6624, 540, 721, 1265, 6000, 6537, 547, 519, 2856, 602, 609, 1175, 513, 3787, 811, 15366, 2182, 960, 543, 4674, 267, 649, 1522, 2490, 856, 1453, 609, 6505, 20304, 269, 3719, 568, 972, 4376, 4636, 609, 513, 2186, 540, 834, 1478, 8001, 532, 2511, 22172, 9977, 531, 9525, 814, 513, 1279, 1686, 540, 1373, 6594, 269, 3509, 540, 519, 2090, 267, 5342, 676, 667, 10005, 13391, 636, 337, 785, 267, 513, 4583, 18673, 693, 519, 2160, 540, 4993, 267, 20588, 267, 723, 1336, 602, 513, 1434, 2385, 568, 519, 835, 945, 568, 3238, 543, 23465, 547, 1200, 1126, 538, 513, 2318, 1259, 267, 945, 5036, 1164, 6788, 855, 3947, 1200, 1126, 7115, 269, 4322, 834, 10461, 5511, 3237, 257, 2408, 547, 5734, 519, 6653, 5544, 540, 15366, 9525, 543, 3622, 6318, 1453, 945, 798, 1732, 27268, 267, 2618, 10999, 543, 13998, 982, 1453, 4171, 3237, 616, 711, 7453, 543, 1447, 3238, 267, 610, 9013, 543, 811, 3238, 269, 4208, 568, 713, 15970, 2511, 865, 3811, 286, 8191, 5511, 3237, 2965, 948, 2087, 8404, 538, 741, 1453, 5861, 541, 565, 667, 933, 1188, 267, 513, 1514, 18673, 693, 18628, 2160, 267, 814, 2944, 1382, 602, 6920, 1946, 22265, 3237, 6318, 811, 12592, 1453, 16638, 513, 6093, 4603, 267, 3220, 6185, 933, 1188, 3217, 1762, 1453, 883, 513, 4055, 543, 12134, 873, 547, 4194, 513, 2241, 11015, 269, 7197, 798, 865, 609, 2370, 7411, 269, 3719, 1287, 3220, 6185, 933, 1188, 6645, 930, 267, 855, 711, 782, 267, 540, 519, 3214, 875, 15931, 789, 616, 269, 2026, 621, 7140, 856, 267, 519, 1453, 945, 616, 711, 5143, 789, 2811, 5100, 616, 811, 12592, 547, 4194, 5051, 2352, 13410, 269, 5445, 849, 1397, 2362, 2157, 540, 6015, 543, 1397, 3152, 3356, 538, 11015, 9010, 269, 1306, 519, 4603, 5267, 267, 9299, 2358, 1453, 781, 15421, 543, 5759, 4667, 547, 21199, 741, 6015, 269, 5719, 2718, 609, 811, 2352, 13410, 11438, 519, 1981, 540, 9561, 835, 781, 4567, 607, 834, 8243, 691, 2668, 7804, 6185, 933, 1188, 781, 960, 9244, 7028, 602, 540, 3220, 11065, 320, 636, 337, 785, 267, 945, 849, 1336, 602, 21230, 5885, 513, 1126, 781, 7115, 543, 12145, 13779, 567, 3123, 1732, 4081, 543, 3929, 2164, 269, 634, 3844, 4305, 540, 3395, 909, 568, 547, 1020, 513, 2631, 540, 1582, 602, 568, 4830, 543, 8746, 28560, 596, 1521, 707, 1762, 1126, 945, 568, 1175, 1565, 547, 3802, 607, 952, 1352, 666, 1405, 3802, 267, 596, 2569, 1200, 6015, 269, 2704, 27172, 1453, 547, 1118, 9073, 568, 835, 540, 519, 6574, 2591, 540, 15970, 20193, 568, 4443, 950, 789, 616, 1762, 7868, 1761, 9073, 4163, 3152, 4220, 267, 543, 851, 540, 1373, 513, 2385, 568, 4227, 1981, 585, 938, 1453, 269, 898, 568, 22466, 602, 9013, 2511, 540, 15970, 949, 567, 9041, 476, 4586, 288, 269, 3068, 811, 2591, 540, 1453, 454, 289, 269, 6536, 7115, 538, 1453, 454, 290, 269, 2014, 811, 2042, 538, 1453, 454, 291, 269, 1291, 547, 1453, 781, 4081, 1967, 454, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20701, 9556, 1518, 519, 1982, 689, 519, 3105, 3635, 547, 1820, 519, 476, 736, 1034, 4749, 268, 4310, 1913, 538, 519, 1433, 563, 692, 20701, 454, 5814, 5569, 692, 12803, 284, 13449, 2891, 3240, 1504, 17902, 15419, 258, 12248, 284, 271, 454, 7290, 815, 9598, 4590, 331, 560, 815, 11713, 1721, 1899, 538, 3758, 912, 825, 1899, 815, 1899, 21858, 4590, 825, 585, 2262, 538, 1899, 912, 1038, 2262, 815, 2262, 14714, 8692, 30415, 4877, 9417, 6672, 266, 11415, 269, 3369, 2572, 10628, 1040, 12294, 4590, 1038, 1948, 12248, 6834, 272, 454, 1038, 1277, 314, 5320, 316, 815, 1277, 10947, 27182, 267, 271, 11924, 272, 692, 11434, 1948, 1820, 27182, 994, 2745, 2891, 13707, 1297, 540, 1913, 616, 4939, 323, 257, 4939, 2040, 263, 7290, 269, 11161, 3890, 4917, 28744, 6262, 870, 2020, 2745, 2891, 13707, 1297, 540, 1114, 1913, 616, 4939, 323, 257, 4939, 7003, 263, 7290, 11723, 331, 560, 815, 27883, 7407, 267, 4486, 264, 1721, 1883, 267, 7407, 538, 1277, 29096, 3890, 2639, 331, 560, 31699, 263, 516, 2091, 18989, 994, 1721, 6221, 538, 32102, 11468, 736, 14158, 825, 1820, 263, 14403, 264, 0, 20701, 5649, 519, 1739, 3009, 543, 6445, 538, 519, 3349, 2630, 609, 2901, 6936, 610, 8771, 912, 5035, 27990, 912, 453, 10139, 454, 5035, 8092, 309, 12317, 1834, 263, 309, 12317, 1834, 2187, 453, 10139, 454, 5035, 3004, 22486, 309, 12317, 1834, 27331, 663, 309, 12317, 1834, 2187, 453, 10139, 692, 557, 327, 1834, 815, 27990, 4590, 1633, 557, 327, 1834, 815, 8092, 309, 12317, 1834, 4590, 10177, 22486, 557, 327, 1834, 815, 3004, 22486, 309, 12317, 1834, 10797, 1721, 1073, 538, 1496, 557, 327, 1834, 267, 2244, 557, 327, 1834, 267, 27424, 557, 327, 1834, 14158, 22610, 804, 538, 1496, 309, 12317, 1834, 267, 8092, 309, 12317, 1834, 267, 3004, 22486, 309, 12317, 1834, 14158, 453, 13537, 263, 529, 27349, 263, 984, 267, 743, 1070, 754, 8782, 315, 339, 5073, 13537, 30800, 18851, 0, 20701, 2237, 5124, 1362, 8204, 606, 7379, 341, 275, 2232, 563, 763, 7379, 2232, 1362, 1058, 581, 8216, 7007, 676, 513, 2185, 268, 14403, 1592, 630, 3602, 519, 1101, 6221, 538, 519, 1592, 568, 519, 5207, 12354, 564, 538, 519, 2232, 264, 543, 513, 9633, 630, 29019, 581, 6719, 676, 606, 8870, 540, 1871, 476, 271, 547, 476, 3953, 994, 1492, 1362, 1058, 723, 693, 2547, 519, 1739, 2409, 912, 1892, 453, 24709, 1205, 15187, 1740, 3890, 7024, 513, 1592, 8204, 519, 3060, 6712, 540, 519, 7379, 2232, 454, 1892, 453, 24709, 1205, 300, 2532, 3890, 2132, 513, 1592, 8204, 519, 9633, 607, 2185, 12354, 1115, 630, 328, 4318, 269, 476, 14838, 269, 14838, 2807, 994, 1892, 453, 24709, 1205, 11754, 816, 3890, 7024, 513, 1592, 8204, 519, 2232, 454, 9827, 2936, 6449, 1598, 1029, 547, 1820, 519, 7379, 2232, 7531, 18851, 0, 258, 5503, 9074, 585, 12719, 942, 454, 5814, 942, 267, 4118, 454, 5228, 2250, 12500, 16742, 1231, 1104, 1535, 9792, 692, 258, 11742, 693, 519, 1376, 540, 11056, 454, 11034, 815, 5503, 28333, 10797, 258, 306, 10079, 540, 661, 7806, 739, 1156, 525, 454, 258, 10059, 2517, 523, 25769, 3820, 28293, 13478, 10079, 15058, 318, 292, 7806, 739, 1156, 525, 454, 3698, 521, 10079, 3799, 2187, 453, 529, 318, 18905, 815, 1496, 12148, 30297, 333, 454, 453, 529, 318, 18905, 314, 271, 316, 815, 8771, 454, 453, 529, 318, 18905, 314, 272, 316, 815, 8771, 692, 453, 258, 8794, 519, 521, 10079, 5690, 454, 22610, 1775, 538, 1535, 9792, 263, 273, 267, 842, 263, 4118, 28460, 3799, 11924, 272, 15892, 453, 453, 8161, 815, 1775, 265, 273, 454, 453, 453, 6112, 4994, 2999, 562, 912, 4848, 453, 529, 318, 18905, 27709, 316, 815, 8771, 454, 4848, 453, 8161, 6834, 1775, 454, 28768, 453, 258, 8266, 547, 4558, 519, 6305, 2338, 454, 453, 18905, 815, 29129, 453, 258, 32061, 6305, 547, 519, 1592, 454, 22610, 1775, 538, 1535, 9792, 3799, 2187, 453, 14851, 568, 318, 18905, 5157, 316, 2652, 6936, 912, 4848, 453, 18905, 6910, 9217, 994, 16596, 6305, 692, 258, 19530, 532, 519, 1267, 454, 2745, 4433, 636, 4433, 10079, 263, 1220, 1822, 271, 4297, 2020, 258, 11742, 693, 519, 1439, 540, 11056, 454, 754, 22710, 815, 942, 28333, 10797, 258, 19530, 532, 519, 2698, 942, 3097, 2745, 263, 754, 22710, 476, 910, 1376, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 476, 8193, 284, 583, 325, 268, 279, 20609, 7042, 257, 21588, 361, 22287, 479, 13601, 419, 360, 510, 14756, 481, 18263, 510, 30903, 502, 5016, 258, 476, 1556, 269, 272, 454, 3698, 1293, 2414, 19177, 272, 10031, 22610, 1142, 19617, 538, 2039, 263, 276, 2187, 453, 13537, 1142, 19617, 692, 3698, 1293, 2414, 19177, 273, 3799, 2187, 22610, 1142, 19617, 538, 2039, 3799, 267, 276, 2187, 453, 13537, 1142, 19617, 692, 3698, 1293, 2414, 19177, 274, 3799, 284, 272, 2187, 22610, 1142, 19617, 538, 2039, 3799, 267, 276, 2187, 453, 13537, 1142, 19617, 692, 19152, 1293, 2414, 19177, 272, 1293, 2414, 19177, 273, 1293, 2414, 19177, 274, 454, 273, 453, 453, 19587, 453, 453, 273, 267, 274, 267, 275, 4848, 453, 273, 267, 274, 267, 275, 454, 275, 453, 453, 19587, 453, 453, 275, 20930, 453, 275, 454, 276, 453, 453, 19587, 453, 453, 14085, 4848, 453, 14085, 454, 333, 5847, 476, 272, 267, 273, 267, 274, 267, 275, 453, 453, 19587, 4848, 453, 272, 267, 273, 267, 274, 267, 275, 692, 258, 476, 1556, 269, 273, 454, 3698, 1039, 332, 592, 5416, 14720, 2187, 16596, 630, 320, 17070, 28083, 265, 321, 2020, 258, 476, 1556, 269, 274, 454, 5416, 264, 3698, 3193, 273, 5416, 14720, 2187, 14851, 513, 285, 321, 281, 3097, 453, 16596, 513, 3097, 28432, 912, 453, 16596, 536, 3097, 3698, 1295, 273, 5416, 14720, 2187, 14851, 513, 283, 321, 281, 3097, 453, 16596, 513, 3097, 28432, 912, 453, 16596, 536, 3097, 6357, 264, 3097, 3698, 1250, 26174, 28949, 531, 626, 2187, 453, 10946, 815, 476, 271, 454, 14851, 620, 626, 912, 453, 22610, 513, 538, 620, 626, 912, 4848, 14851, 3193, 2999, 513, 912, 15235, 453, 10946, 815, 513, 454, 16596, 3193, 454, 3698, 1250, 28804, 28949, 531, 626, 2187, 453, 2381, 815, 476, 271, 454, 14851, 620, 626, 912, 453, 22610, 513, 538, 620, 626, 912, 4848, 14851, 1295, 3436, 513, 912, 15235, 453, 2381, 815, 513, 454, 16596, 1295, 692, 258, 476, 1556, 269, 275, 454, 19540, 503, 22047, 16583, 30936, 418, 488, 488, 13200, 365, 16533, 493, 28793, 25520, 26166, 421, 496, 509, 23989, 419, 353, 374, 7511, 28793, 25426, 368, 420, 377, 361, 29004, 351, 20992, 9463, 359, 17958, 26166, 421, 496, 509, 23989, 419, 353, 374, 7511, 28793, 25426, 368, 454, 3698, 1250, 5503, 10031, 453, 339, 787, 912, 453, 453, 2381, 340, 919, 815, 703, 263, 3863, 17750, 3488, 921, 848, 3403, 513, 1295, 340, 919, 281, 29125, 453, 21955, 6206, 4580, 11328, 4533, 267, 324, 912, 453, 13537, 1193, 16216, 11924, 262, 315, 333, 10181, 7055, 453, 21955, 28759, 912, 453, 13537, 1412, 921, 848, 3403, 513, 1297, 7055, 28432, 912, 453, 453, 332, 815, 1295, 340, 919, 4939, 476, 2568, 454, 453, 453, 327, 815, 630, 2381, 340, 919, 910, 544, 264, 1315, 476, 2568, 454, 453, 13537, 1412, 921, 848, 596, 3403, 942, 568, 4939, 323, 281, 260, 323, 262, 4939, 630, 327, 31599, 2020, 258, 476, 1556, 269, 276, 454, 3698, 3454, 3287, 284, 271, 269, 1704, 2187, 453, 326, 23748, 815, 6151, 17750, 3488, 921, 848, 3403, 513, 1434, 3902, 5073, 16596, 575, 23748, 2608, 1535, 692, 258, 476, 1556, 269, 277, 454, 3698, 1820, 325, 28949, 16911, 2187, 453, 325, 31198, 815, 1412, 260, 338, 262, 2608, 7003, 263, 16911, 994, 13537, 535, 31198, 4939, 26571, 454, 258, 476, 1556, 269, 278, 454, 453, 14090, 10857, 10033, 1535, 11971, 281, 263, 343, 11971, 1070, 314, 272, 267, 273, 267, 274, 25662, 272, 267, 273, 267, 274, 7481, 453, 14090, 263, 14085, 267, 314, 272, 267, 273, 267, 274, 25662, 272, 267, 273, 267, 274, 7481, 453, 32502, 8443, 272, 267, 273, 267, 274, 25662, 272, 267, 273, 267, 274, 7481, 258, 476, 1556, 269, 279, 454, 3698, 20014, 17413, 12169, 792, 2187, 14851, 711, 568, 27349, 12169, 792, 267, 842, 2187, 453, 16596, 1412, 19587, 7055, 14851, 1032, 4939, 476, 275, 2652, 476, 271, 281, 3097, 453, 14851, 1032, 4939, 476, 1911, 11203, 476, 271, 912, 4848, 16596, 6936, 454, 453, 453, 19197, 1032, 270, 275, 4939, 476, 1911, 2652, 476, 271, 912, 4848, 16596, 6936, 454, 16596, 8771, 454, 325, 8814, 263, 548, 777, 17413, 267, 9792, 263, 1220, 271, 267, 1001, 278, 4917, 314, 20204, 585, 1032, 538, 2039, 263, 1220, 271, 267, 1001, 278, 264, 952, 1032, 4939, 476, 275, 2652, 476, 271, 543, 1032, 4939, 476, 1911, 11203, 476, 271, 6540, 258, 476, 1556, 269, 280, 454, 3698, 3328, 263, 531, 626, 2187, 16596, 2569, 10857, 10033, 1535, 11971, 281, 343, 20742, 267, 531, 626, 8358, 6352, 263, 531, 626, 2020, 258, 476, 1556, 269, 1015, 454, 31308, 375, 26406, 487, 269, 7511, 19867, 478, 20069, 24757, 10524, 370, 692, 258, 476, 1556, 269, 1556, 454, 3698, 3758, 14067, 8692, 6600, 32327, 267, 2908, 12803, 815, 7183, 2187, 14851, 1007, 12803, 2652, 7183, 912, 453, 453, 339, 787, 912, 4848, 453, 325, 28128, 815, 1930, 6600, 32327, 10086, 337, 5073, 453, 453, 21955, 594, 302, 13286, 267, 324, 912, 4848, 16596, 1412, 28884, 13644, 375, 9463, 500, 7511, 24757, 10524, 370, 21251, 11858, 502, 21928, 7055, 453, 28432, 912, 4848, 453, 4148, 626, 815, 4786, 10857, 10033, 1535, 281, 343, 14714, 8692, 3890, 22065, 315, 333, 3299, 325, 28128, 18667, 6050, 15405, 4848, 453, 325, 28128, 25379, 4590, 4848, 453, 339, 787, 912, 15235, 453, 342, 28128, 476, 815, 1930, 6600, 32327, 10086, 342, 5073, 4848, 453, 21955, 594, 302, 13286, 267, 324, 912, 15235, 16596, 1412, 19540, 503, 24662, 24757, 10524, 370, 14035, 365, 420, 368, 354, 8147, 13644, 371, 418, 352, 478, 418, 509, 354, 23521, 481, 30522, 494, 7055, 4848, 28432, 912, 15235, 453, 342, 28128, 9884, 761, 3894, 263, 4148, 626, 994, 15235, 453, 342, 28128, 25379, 4590, 28432, 912, 453, 453, 339, 787, 912, 4848, 453, 325, 28128, 815, 1930, 6600, 32327, 10086, 337, 5073, 453, 453, 21955, 594, 302, 13286, 267, 324, 912, 4848, 16596, 1412, 28884, 13644, 375, 9463, 500, 7511, 24757, 10524, 370, 21251, 11858, 502, 21928, 7055, 453, 28432, 912, 4848, 453, 4148, 626, 815, 4786, 10857, 10033, 1535, 281, 343, 14714, 8692, 3890, 22065, 315, 333, 3299, 325, 28128, 18667, 6050, 15405, 4848, 453, 325, 28128, 25379, 4590, 4848, 453, 339, 787, 912, 15235, 453, 342, 28128, 476, 815, 1930, 28956, 12803, 10086, 342, 5073, 4848, 453, 21955, 594, 302, 13286, 267, 324, 912, 15235, 16596, 1412, 19540, 503, 24662, 24757, 10524, 370, 14035, 365, 420, 368, 354, 8147, 13644, 371, 418, 352, 478, 418, 509, 354, 23521, 481, 30522, 494, 7055, 4848, 28432, 912, 15235, 453, 342, 28128, 9884, 761, 3894, 263, 4148, 626, 994, 15235, 453, 342, 28128, 25379, 10797, 258, 476, 1556, 269, 1321, 692, 258, 476, 1556, 269, 1724, 454, 5416, 994, 3698, 1617, 3287, 11971, 2187, 16596, 1535, 2608, 586, 454, 6357, 994, 3698, 16354, 738, 3799, 2187, 453, 257, 18777, 350, 28997, 501, 421, 502, 370, 18263, 502, 4840, 16596, 2569, 9852, 738, 267, 9792, 263, 272, 19885, 266, 272, 4917, 6262, 994, 516, 706, 576, 10857, 10033, 1535, 11971, 281, 343, 265, 344, 267, 9792, 263, 272, 19885, 266, 272, 4917, 5560, 2020, 258, 476, 1556, 269, 1691, 7531, 0, 12528, 12173, 815, 703, 9272, 2891, 24876, 803, 513, 1297, 256, 8442, 2020, 1721, 1775, 538, 2039, 263, 272, 267, 3593, 12173, 1341, 476, 272, 2187, 825, 952, 3593, 12173, 4939, 1775, 11203, 476, 271, 912, 1038, 3136, 454, 825, 1820, 9217, 264, 8931, 0, 5814, 11885, 607, 5286, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5814, 20956, 273, 454, 5814, 15259, 454, 5814, 19523, 454, 3698, 1449, 9638, 987, 4067, 6889, 2580, 16347, 284, 3269, 2187, 825, 1775, 815, 476, 271, 454, 825, 1948, 307, 3949, 952, 2016, 2619, 1568, 267, 32195, 952, 711, 269, 630, 13014, 713, 25276, 547, 1832, 1178, 25290, 454, 825, 1948, 6358, 338, 2394, 1568, 994, 825, 2119, 912, 1038, 1463, 1559, 284, 657, 269, 4289, 323, 597, 9638, 987, 4067, 994, 825, 4849, 912, 1038, 1820, 2891, 26073, 2016, 729, 23380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5675, 513, 23061, 540, 606, 8870, 5752, 538, 513, 5276, 1106, 692, 296, 24018, 606, 11938, 1966, 538, 606, 8870, 5752, 3898, 269, 634, 1292, 23061, 594, 3357, 909, 609, 568, 1631, 1875, 935, 557, 343, 269, 594, 1131, 899, 547, 1294, 952, 972, 568, 1776, 6697, 19862, 538, 799, 519, 10148, 616, 23756, 610, 2241, 2614, 547, 581, 12193, 780, 17961, 25410, 348, 1422, 2381, 3709, 343, 25722, 348, 1422, 15153, 1299, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 2410, 322, 10983, 1535, 10983, 27874, 1422, 3667, 3944, 346, 338, 6745, 269, 348, 1422, 15153, 1299, 1422, 8999, 3709, 329, 284, 272, 8703, 333, 2410, 339, 19553, 1422, 15927, 263, 1422, 3667, 18097, 626, 348, 630, 341, 10983, 2073, 642, 19553, 264, 910, 570, 1535, 19553, 1422, 15927, 14587, 1422, 19008, 476, 271, 2073, 349, 1775, 284, 272, 12101, 25854, 19885, 8607, 1299, 512, 318, 272, 1341, 512, 318, 273, 1341, 315, 25854, 1341, 512, 5332, 815, 476, 272, 11138, 1299, 512, 10983, 2073, 1535, 10983, 1422, 514, 1422, 346, 476, 271, 2073, 476, 272, 1422, 348, 8607, 1422, 754, 25410, 10926, 9616, 602, 6695, 3667, 18097, 626, 348, 630, 341, 10983, 2073, 642, 19553, 14638, 543, 3230, 307, 2330, 616, 2318, 21635, 269, 3230, 343, 10983, 815, 476, 272, 2330, 952, 519, 6843, 3230, 341, 10983, 2330, 568, 5697, 267, 3230, 343, 10983, 815, 476, 271, 2330, 6382, 269, 3230, 339, 10983, 2330, 338, 616, 25581, 4632, 269, 634, 10148, 723, 1044, 2854, 538, 513, 1259, 602, 585, 1142, 6843, 3230, 341, 10983, 18079, 972, 6818, 513, 5697, 6843, 3230, 341, 19553, 2330, 971, 602, 6695, 3667, 18097, 626, 348, 630, 341, 10983, 2073, 642, 19553, 264, 1422, 19008, 570, 269, 9681, 4504, 28558, 513, 9352, 3375, 4756, 3230, 344, 19553, 2330, 547, 2099, 519, 1587, 3230, 339, 19553, 1535, 19553, 21974, 634, 8912, 5276, 1436, 1131, 946, 1614, 5276, 10148, 547, 17997, 713, 2078, 269, 1809, 1934, 267, 1317, 3230, 307, 315, 613, 476, 271, 18079, 649, 991, 1152, 17997, 3230, 344, 19553, 1422, 548, 512, 19553, 1535, 19553, 18079, 865, 1079, 10148, 3411, 823, 281, 3230, 344, 19553, 1422, 548, 512, 19553, 2330, 543, 3230, 344, 19553, 1422, 548, 1535, 19553, 21974, 7053, 267, 5372, 707, 1101, 23061, 609, 6695, 8999, 3709, 329, 284, 272, 11892, 333, 1422, 3847, 6025, 19553, 1422, 3667, 18097, 626, 12917, 341, 10983, 267, 341, 19553, 264, 6629, 307, 586, 19553, 9368, 9385, 548, 271, 9681, 288, 12863, 1259, 547, 17997, 707, 5551, 19231, 568, 547, 1577, 3230, 297, 10983, 7807, 346, 329, 22174, 28381, 272, 12101, 25854, 19885, 315, 348, 281, 1422, 3667, 18097, 626, 12917, 341, 10983, 267, 341, 19553, 9385, 548, 570, 315, 6525, 543, 20818, 1305, 8720, 10148, 6695, 8999, 3709, 329, 22174, 808, 10983, 348, 1535, 19553, 1422, 613, 476, 272, 1422, 15153, 1422, 3667, 346, 1721, 782, 1775, 15732, 1892, 11289, 596, 269, 901, 568, 513, 1390, 2626, 269, 1717, 267, 1934, 1269, 333, 259, 568, 513, 1804, 1297, 10962, 1776, 1305, 540, 9352, 4632, 2306, 19106, 14427, 269, 1772, 972, 1022, 1259, 547, 2569, 519, 1297, 540, 9352, 4632, 286, 4455, 476, 274, 693, 476, 275, 281, 1839, 454, 1892, 594, 8242, 1250, 2626, 1175, 1631, 269, 1411, 1810, 1406, 991, 1269, 339, 19553, 259, 610, 1269, 344, 19553, 10608, 4455, 476, 274, 693, 476, 275, 281, 2918, 692, 2791, 666, 2936, 910, 585, 1142, 6843, 3230, 341, 10983, 18079, 972, 6818, 513, 6843, 3230, 341, 19553, 2330, 971, 602, 6695, 3667, 18097, 626, 348, 630, 341, 10983, 2073, 642, 19553, 264, 1422, 19008, 570, 269, 2330, 899, 2630, 454, 2330, 343, 10983, 1422, 548, 1422, 8999, 3709, 329, 1422, 928, 336, 1775, 348, 1535, 19553, 1422, 548, 1535, 10983, 1341, 631, 263, 272, 14870, 10983, 14638, 454, 11377, 8999, 3709, 329, 1422, 928, 336, 1775, 26507, 19553, 1253, 17635, 10983, 267, 341, 19553, 264, 1422, 548, 570, 1341, 300, 263, 272, 14870, 10983, 14638, 454, 7775, 454, 11377, 8999, 3709, 329, 1422, 928, 336, 1775, 26507, 19553, 1253, 17635, 10983, 267, 341, 19553, 264, 1422, 548, 570, 263, 273, 14870, 10983, 14638, 281, 3274, 8719, 3230, 300, 2330, 609, 3230, 307, 2330, 0, 30238, 30914, 6009, 5231, 1109, 14872, 1741, 26592, 589, 696, 3363, 13658, 1280, 10566, 24774, 18161, 13718, 258, 26592, 589, 696, 3363, 13658, 1280, 10566, 24774, 18161, 476, 1708, 272, 268, 476, 276, 628, 5988, 692, 304, 272, 269, 634, 3328, 2597, 540, 8695, 538, 513, 1362, 540, 2698, 4222, 476, 2004, 568, 476, 2412, 4846, 1247, 3328, 2597, 540, 6690, 568, 476, 3374, 4846, 269, 4855, 1297, 540, 6690, 538, 1362, 952, 3328, 2597, 540, 1362, 568, 476, 4343, 4846, 563, 5416, 264, 476, 1015, 454, 6357, 264, 476, 1789, 454, 6262, 264, 476, 736, 454, 5560, 264, 476, 2412, 454, 16216, 264, 476, 1428, 692, 304, 273, 269, 19105, 540, 2185, 2338, 568, 2799, 676, 476, 272, 950, 513, 1297, 568, 8719, 676, 1535, 543, 3328, 540, 602, 2185, 1297, 568, 8519, 676, 476, 272, 950, 1776, 1297, 568, 8719, 609, 1535, 269, 1548, 568, 519, 3017, 540, 519, 1312, 2338, 888, 5416, 264, 476, 277, 454, 6357, 264, 476, 279, 454, 6262, 264, 476, 1626, 454, 5560, 264, 476, 275, 454, 16216, 264, 2052, 2254, 581, 5462, 692, 304, 274, 269, 8422, 1296, 3516, 267, 3328, 2085, 540, 2048, 288, 2466, 8730, 2048, 289, 8636, 340, 685, 543, 2048, 2419, 15856, 685, 568, 476, 2767, 1296, 269, 9050, 1296, 8754, 267, 5223, 540, 589, 2466, 543, 932, 15856, 779, 2085, 568, 476, 278, 2433, 476, 1015, 269, 1403, 645, 8636, 340, 568, 476, 277, 1296, 7820, 982, 932, 15856, 267, 1287, 1265, 1459, 2085, 540, 2048, 288, 2466, 685, 888, 5416, 264, 476, 2190, 1296, 454, 6357, 264, 476, 2767, 1296, 454, 6262, 264, 476, 1789, 1296, 454, 5560, 264, 476, 2764, 1296, 454, 16216, 264, 476, 3607, 1296, 692, 304, 275, 269, 5681, 540, 476, 275, 15654, 1256, 2338, 616, 476, 11463, 811, 982, 519, 2040, 540, 476, 274, 15654, 9642, 2338, 543, 952, 3328, 540, 4102, 1256, 1100, 269, 1299, 10545, 9642, 1100, 269, 568, 476, 5655, 269, 3973, 1265, 519, 476, 273, 526, 9803, 1256, 1100, 269, 888, 5416, 264, 476, 3953, 454, 6357, 264, 476, 5655, 454, 6262, 264, 476, 3607, 454, 5560, 264, 476, 5379, 454, 16216, 264, 476, 4366, 692, 5416, 264, 476, 1015, 586, 3464, 454, 6357, 264, 476, 277, 586, 3464, 454, 6262, 264, 476, 279, 586, 3464, 454, 5560, 264, 1321, 586, 3464, 454, 16216, 264, 476, 1691, 586, 3464, 454, 304, 277, 269, 1744, 1731, 3873, 779, 2085, 568, 835, 29350, 628, 540, 1200, 4651, 779, 2085, 269, 2991, 476, 1015, 1296, 267, 31881, 3873, 779, 4651, 779, 2085, 786, 581, 7466, 540, 966, 793, 21983, 779, 2085, 693, 602, 942, 269, 1403, 966, 793, 21983, 779, 21632, 14512, 729, 9976, 476, 273, 1296, 1354, 267, 1287, 1018, 568, 1744, 1731, 3873, 779, 1459, 2085, 888, 5416, 264, 476, 278, 1296, 454, 6357, 264, 476, 275, 1296, 454, 6262, 264, 476, 277, 1296, 454, 5560, 264, 476, 275, 269, 276, 1296, 454, 16216, 264, 476, 276, 1296, 692, 304, 278, 269, 8422, 1032, 3516, 267, 519, 3328, 2085, 540, 2947, 9441, 540, 513, 2754, 729, 476, 7918, 586, 3464, 269, 634, 1459, 3328, 2085, 568, 476, 7367, 29757, 1310, 519, 10014, 540, 513, 1007, 9441, 9411, 269, 4855, 519, 2085, 540, 519, 1007, 9441, 888, 5416, 264, 476, 1240, 29757, 454, 6357, 264, 476, 1839, 29757, 454, 6262, 264, 476, 736, 29757, 454, 5560, 264, 476, 2420, 29757, 454, 16216, 264, 476, 2767, 29757, 692, 304, 279, 269, 681, 10620, 779, 2085, 568, 1614, 1296, 811, 982, 2725, 5028, 779, 2085, 269, 590, 2313, 10042, 779, 2085, 568, 476, 4037, 260, 540, 681, 10620, 779, 2085, 269, 1403, 3328, 2085, 540, 782, 540, 873, 568, 476, 1321, 269, 4037, 1296, 1287, 1265, 519, 2085, 540, 681, 10620, 563, 5416, 264, 476, 1321, 586, 3464, 563, 6357, 264, 476, 1428, 586, 3464, 563, 6262, 264, 476, 1691, 586, 3464, 563, 5560, 264, 476, 1626, 586, 3464, 563, 16216, 264, 476, 1240, 586, 3464, 780, 304, 280, 269, 476, 3583, 260, 540, 513, 1297, 568, 3160, 547, 476, 1789, 260, 540, 1776, 1297, 269, 1403, 3328, 540, 1312, 2338, 568, 476, 2190, 267, 1287, 1265, 519, 3677, 1297, 454, 5416, 264, 476, 1691, 269, 275, 454, 6357, 264, 476, 3953, 269, 277, 454, 6262, 264, 476, 3451, 269, 277, 454, 5560, 264, 476, 2764, 269, 277, 454, 16216, 264, 476, 2190, 269, 273, 692, 304, 1015, 269, 589, 6824, 568, 971, 602, 267, 952, 649, 17784, 519, 19362, 543, 5595, 519, 14009, 543, 1586, 2799, 519, 19362, 676, 476, 736, 260, 543, 8519, 519, 14009, 676, 476, 1015, 9077, 649, 1205, 476, 7830, 269, 276, 260, 540, 476, 272, 476, 278, 270, 1839, 269, 4855, 519, 3312, 6824, 563, 5416, 264, 476, 272, 270, 276, 454, 6357, 264, 476, 273, 270, 280, 454, 6262, 264, 476, 274, 270, 276, 454, 5560, 264, 476, 278, 270, 1015, 454, 16216, 264, 476, 273, 270, 276, 692, 304, 1556, 269, 476, 2568, 260, 540, 519, 8907, 540, 513, 2852, 3357, 689, 519, 2022, 3766, 571, 706, 566, 6030, 1247, 476, 2412, 260, 616, 689, 519, 22692, 6030, 269, 1403, 519, 2852, 12651, 922, 12375, 676, 476, 1789, 260, 585, 519, 2022, 3766, 571, 706, 566, 6030, 543, 676, 476, 736, 260, 585, 519, 22692, 6030, 267, 1287, 1265, 519, 6871, 2333, 538, 519, 19614, 540, 519, 2852, 563, 5416, 264, 476, 1839, 14999, 6357, 264, 476, 2190, 14999, 6262, 264, 476, 2764, 14999, 5560, 264, 476, 2918, 14999, 16216, 264, 476, 1789, 30515, 304, 1321, 269, 3026, 518, 1690, 6170, 476, 2420, 260, 540, 1010, 10865, 14057, 538, 5253, 267, 476, 736, 260, 540, 519, 6967, 10865, 14057, 538, 674, 6185, 269, 952, 1010, 9494, 568, 12652, 269, 476, 24374, 271, 269, 3973, 1265, 519, 9276, 1500, 676, 3026, 518, 1690, 593, 5253, 15017, 5416, 264, 12652, 269, 476, 12893, 271, 454, 6357, 264, 12652, 269, 476, 12010, 454, 6262, 264, 12652, 269, 476, 1911, 271, 454, 5560, 264, 12652, 269, 476, 8099, 271, 454, 16216, 264, 12652, 269, 476, 6344, 271, 692, 304, 1724, 269, 589, 568, 606, 18585, 540, 1079, 2010, 540, 8407, 1535, 543, 586, 543, 645, 568, 606, 18585, 540, 1079, 2010, 540, 8407, 586, 543, 1990, 269, 2368, 7274, 540, 645, 568, 6404, 609, 476, 1789, 575, 916, 540, 589, 547, 1106, 1776, 18585, 799, 814, 476, 4649, 260, 540, 586, 4496, 5834, 269, 4855, 519, 7274, 540, 645, 3144, 952, 606, 18585, 589, 814, 476, 2568, 260, 540, 586, 5834, 543, 645, 814, 476, 2412, 260, 540, 586, 5834, 563, 5416, 264, 476, 1428, 575, 332, 454, 6357, 264, 476, 1321, 269, 276, 575, 332, 454, 6262, 264, 476, 1015, 575, 332, 454, 5560, 264, 476, 736, 575, 332, 454, 16216, 264, 476, 278, 476, 272, 270, 273, 575, 332, 692, 304, 1691, 269, 1677, 1118, 513, 11442, 267, 476, 1789, 260, 6151, 1570, 1942, 267, 476, 736, 260, 11832, 1942, 267, 476, 1789, 260, 6725, 1942, 543, 476, 736, 260, 24386, 1942, 2049, 269, 1403, 3902, 540, 6151, 1570, 568, 2799, 676, 476, 2004, 260, 1287, 547, 1205, 930, 7443, 4939, 630, 736, 8472, 3902, 814, 547, 2333, 476, 14596, 12652, 269, 4855, 519, 1942, 540, 24386, 630, 514, 12652, 4700, 15017, 5416, 264, 476, 6110, 454, 6357, 264, 476, 4335, 454, 6262, 264, 476, 7785, 454, 5560, 264, 476, 4968, 454, 16216, 264, 476, 1911, 271, 692, 304, 1428, 269, 769, 606, 9550, 1152, 1079, 10457, 7119, 269, 15443, 28371, 2048, 303, 685, 3893, 476, 2004, 260, 1447, 16018, 982, 2048, 304, 9957, 16874, 1627, 3893, 476, 1220, 16018, 1447, 972, 1131, 723, 1044, 513, 17063, 269, 1548, 568, 519, 476, 279, 2053, 540, 519, 1297, 540, 2698, 16018, 1135, 1194, 563, 5416, 264, 476, 8517, 454, 6357, 264, 476, 24798, 271, 454, 6262, 264, 476, 17168, 271, 454, 5560, 264, 476, 31634, 271, 454, 16216, 264, 476, 11740, 271, 692, 20797, 2859, 5999, 540, 1109, 23797, 5511, 589, 696, 3363, 585, 14847, 1438, 1401, 4461, 1384, 30607, 10566, 24774, 18161, 5530, 4643, 476, 1708, 272, 692, 22069, 1903, 692, 20797, 609, 9197, 1662, 6092, 543, 6732, 4530, 10022, 585, 10566, 24774, 18161, 476, 1708, 272, 1384, 9943, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 769, 930, 2477, 267, 13449, 13464, 567, 568, 4922, 7608, 269, 1280, 1383, 267, 3943, 1053, 723, 513, 1079, 16923, 12899, 2736, 689, 476, 1556, 281, 1789, 513, 6230, 269, 547, 476, 272, 281, 1789, 533, 6230, 269, 4438, 741, 12899, 2736, 267, 789, 666, 3548, 693, 1753, 610, 693, 513, 13962, 269, 1809, 1053, 538, 519, 13372, 723, 513, 27162, 615, 8430, 269, 1358, 723, 1152, 1079, 476, 1428, 18826, 9397, 543, 606, 5662, 585, 12899, 269, 1548, 21480, 1131, 581, 1655, 585, 1977, 3506, 286, 11109, 9397, 1063, 5049, 568, 1390, 267, 855, 2348, 9397, 1055, 13464, 568, 1256, 1732, 269, 1703, 616, 1896, 5383, 547, 1930, 13464, 267, 1519, 2241, 7036, 7891, 971, 607, 1373, 2111, 547, 3548, 1114, 6980, 1282, 12899, 5503, 267, 2864, 982, 2348, 519, 22538, 2678, 807, 567, 8286, 267, 607, 1134, 607, 2348, 519, 4960, 547, 1491, 513, 2736, 693, 1753, 269, 1717, 267, 972, 616, 811, 4128, 594, 10990, 609, 3850, 1164, 1153, 1053, 519, 1318, 547, 723, 606, 1930, 13464, 269, 17610, 267, 621, 781, 1390, 1373, 2111, 547, 9101, 1153, 1282, 519, 1554, 585, 513, 1247, 267, 855, 4166, 2614, 602, 949, 3362, 1831, 519, 1964, 540, 519, 1554, 269, 1403, 1930, 13464, 568, 4847, 267, 621, 568, 1360, 2009, 602, 971, 5191, 786, 1118, 621, 782, 1932, 2653, 585, 1053, 547, 18178, 741, 12784, 5049, 269, 2986, 1576, 267, 972, 786, 581, 1053, 3743, 2614, 547, 2097, 1394, 547, 1153, 269, 1809, 6397, 2042, 971, 607, 5230, 6808, 267, 2749, 1668, 17799, 567, 610, 6517, 8840, 1524, 949, 2061, 873, 689, 13059, 547, 1153, 269, 898, 2640, 519, 1053, 547, 3251, 538, 1153, 1282, 12899, 3108, 547, 2057, 6283, 2152, 269, 13689, 593, 875, 2673, 519, 1153, 568, 547, 14060, 543, 1053, 262, 5321, 267, 1930, 13464, 1223, 581, 513, 1390, 2856, 269, 10251, 267, 1498, 267, 1034, 1857, 3506, 538, 3013, 616, 711, 4092, 2673, 2614, 547, 14060, 610, 1053, 262, 5321, 267, 3976, 4929, 519, 2942, 2164, 547, 29387, 567, 519, 1064, 14476, 538, 519, 1439, 269, 634, 1257, 5631, 11828, 2436, 1164, 3506, 1058, 476, 9041, 476, 4586, 288, 269, 723, 513, 7453, 8430, 454, 289, 269, 723, 513, 1279, 12899, 2736, 454, 290, 269, 723, 1930, 13464, 585, 12899, 454, 291, 269, 581, 4092, 2673, 547, 14060, 454, 12585, 281, 595, 0, 9223, 281, 634, 5824, 533, 624, 639, 4016, 547, 1018, 851, 540, 519, 1480, 1560, 888, 12585, 281, 9221, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 23560, 737, 26147, 281, 589, 4807, 538, 3043, 737, 26147, 7833, 1281, 513, 17431, 540, 513, 6296, 593, 519, 1319, 585, 16488, 1282, 2680, 269, 634, 4807, 454, 288, 269, 536, 3298, 543, 15211, 1055, 519, 1319, 563, 289, 269, 3096, 1200, 3946, 267, 7953, 267, 543, 7916, 547, 3625, 267, 7753, 267, 543, 7575, 547, 519, 2427, 3533, 563, 290, 269, 12909, 11179, 547, 519, 16488, 827, 519, 4480, 563, 291, 269, 1281, 1200, 6296, 593, 519, 1319, 1510, 10678, 563, 12585, 281, 589, 0, 9223, 281, 6904, 540, 519, 1739, 1655, 6257, 513, 7777, 888, 12585, 281, 513, 4396, 2067, 1570, 609, 513, 12627, 2497, 0, 9223, 281, 589, 1906, 3275, 3516, 594, 729, 693, 513, 1668, 3247, 538, 4884, 538, 519, 10543, 269, 634, 1668, 3357, 593, 942, 543, 594, 3576, 519, 6885, 10160, 269, 634, 1668, 729, 21409, 676, 519, 694, 1662, 648, 543, 594, 729, 11981, 519, 2571, 2842, 1247, 8384, 519, 4262, 6329, 476, 1547, 2991, 513, 1906, 3764, 519, 1668, 1500, 922, 1985, 3247, 269, 589, 1762, 7911, 543, 513, 8004, 3893, 593, 269, 1358, 941, 7555, 593, 1250, 2451, 950, 519, 1668, 15504, 1055, 269, 594, 6743, 693, 873, 538, 9983, 543, 7691, 602, 782, 519, 6885, 16295, 941, 3144, 909, 269, 1358, 1223, 1694, 855, 711, 1927, 269, 9041, 1547, 594, 3893, 909, 543, 6035, 873, 1250, 10160, 269, 634, 1762, 14799, 20493, 24963, 543, 1767, 7064, 269, 594, 3576, 1776, 10160, 543, 649, 851, 539, 938, 2081, 269, 594, 1810, 1405, 3314, 2436, 594, 3893, 1055, 519, 1668, 1354, 873, 610, 711, 269, 3933, 2195, 5293, 676, 269, 22582, 835, 1554, 1247, 594, 729, 7555, 693, 519, 1482, 1668, 3247, 7996, 930, 942, 585, 519, 1668, 547, 12446, 594, 4862, 513, 5639, 269, 834, 2750, 322, 2224, 803, 267, 1133, 2193, 1701, 594, 6743, 538, 519, 4287, 540, 519, 5639, 269, 898, 729, 513, 4190, 1762, 14799, 269, 10658, 3960, 1194, 267, 594, 1767, 267, 834, 296, 798, 711, 5431, 596, 1701, 2701, 1767, 267, 834, 2710, 596, 3314, 596, 5795, 721, 707, 6885, 10160, 8119, 10658, 3960, 1194, 267, 594, 1767, 267, 834, 28646, 267, 855, 1018, 568, 865, 1390, 538, 602, 8119, 2701, 1767, 267, 834, 2252, 596, 1185, 711, 2016, 707, 10160, 602, 1554, 267, 5310, 594, 1131, 723, 711, 2893, 609, 1250, 3659, 269, 1635, 9361, 1927, 621, 5280, 721, 8115, 513, 3765, 24483, 602, 1185, 1044, 1063, 721, 11014, 269, 1684, 596, 917, 649, 616, 3478, 9310, 1985, 3923, 8119, 834, 14187, 256, 2696, 12196, 1312, 540, 596, 2437, 594, 14452, 269, 634, 1762, 14799, 1586, 1767, 9684, 596, 543, 4682, 593, 1200, 3460, 269, 594, 7691, 519, 2956, 540, 4758, 602, 1554, 269, 634, 2278, 781, 957, 540, 11587, 5280, 519, 1762, 7911, 543, 519, 8004, 567, 9041, 476, 4586, 288, 269, 2253, 547, 2911, 547, 1142, 824, 1586, 1310, 513, 942, 540, 16563, 454, 289, 269, 1694, 1927, 543, 1831, 2828, 1360, 4166, 454, 290, 269, 917, 1142, 824, 543, 1205, 9310, 454, 291, 269, 2312, 909, 513, 3765, 24483, 1063, 873, 454, 12585, 281, 667, 0, 9223, 281, 2423, 17067, 713, 1032, 594, 14612, 547, 12395, 3570, 538, 15057, 269, 594, 729, 972, 547, 1491, 5961, 540, 519, 834, 15842, 5287, 1426, 1062, 2668, 1306, 513, 2027, 21233, 267, 594, 729, 30870, 609, 8964, 543, 23929, 269, 634, 17137, 1031, 547, 2206, 543, 7544, 782, 519, 942, 855, 1631, 12395, 3570, 568, 14980, 543, 814, 1044, 585, 930, 1296, 269, 3143, 835, 568, 13465, 610, 15472, 1022, 811, 1317, 789, 723, 1100, 1426, 267, 4986, 547, 8661, 269, 3509, 540, 873, 616, 17005, 593, 513, 2370, 8970, 513, 1554, 543, 1216, 267, 799, 789, 666, 1205, 1175, 1169, 1079, 2395, 269, 594, 1558, 23413, 324, 700, 758, 19125, 334, 267, 513, 2199, 16027, 945, 4330, 519, 1995, 540, 513, 3670, 4458, 10980, 1547, 23413, 324, 1031, 547, 723, 476, 1220, 23161, 267, 855, 1631, 646, 814, 1152, 5722, 2451, 269, 1261, 5143, 803, 602, 713, 10980, 814, 6026, 1864, 513, 2182, 3992, 281, 898, 568, 1932, 2352, 547, 1832, 2831, 269, 1261, 2729, 593, 2831, 269, 3571, 2757, 1259, 540, 1272, 814, 1044, 4625, 10032, 1631, 269, 9453, 519, 1426, 5351, 476, 789, 3893, 267, 23413, 324, 568, 1978, 602, 789, 1131, 5182, 557, 1317, 972, 616, 1100, 824, 2081, 547, 3049, 2933, 2451, 269, 19759, 569, 267, 519, 1482, 666, 581, 4862, 538, 3592, 1022, 3384, 2197, 1472, 519, 1158, 269, 20290, 835, 5479, 1004, 979, 547, 5127, 17237, 1142, 3781, 269, 634, 1426, 1062, 568, 7745, 269, 769, 12395, 3570, 267, 711, 2614, 4764, 814, 15468, 2094, 476, 1220, 276, 269, 1358, 2268, 476, 11811, 711, 538, 2395, 610, 4374, 855, 538, 3764, 269, 2859, 543, 811, 1004, 616, 1373, 7142, 547, 7048, 593, 1426, 5351, 267, 855, 1004, 899, 23413, 324, 1810, 1405, 1616, 1426, 5351, 269, 1358, 1616, 547, 960, 543, 1020, 741, 2197, 269, 898, 781, 938, 5539, 476, 547, 1689, 519, 3510, 865, 602, 789, 666, 1489, 2933, 269, 667, 3754, 568, 7543, 547, 2057, 855, 26380, 476, 568, 812, 18478, 267, 543, 8259, 2614, 2724, 568, 3177, 547, 1020, 513, 2596, 5989, 476, 585, 1004, 538, 519, 1858, 267, 5215, 811, 2729, 616, 2386, 547, 581, 4503, 269, 6904, 540, 519, 1739, 568, 10691, 3020, 827, 23413, 324, 700, 758, 19125, 334, 888, 288, 269, 1261, 729, 513, 16027, 538, 15057, 563, 289, 269, 1261, 814, 2760, 4607, 1022, 1426, 5351, 563, 290, 269, 3571, 2757, 1259, 540, 1272, 688, 521, 1044, 4957, 563, 291, 269, 1261, 1336, 621, 2182, 547, 6318, 2831, 1310, 519, 10980, 563, 12585, 281, 645, 0, 9223, 281, 5616, 729, 8547, 676, 8284, 18628, 1053, 5395, 613, 344, 5696, 514, 543, 7247, 267, 945, 19486, 607, 519, 476, 1556, 628, 29659, 812, 538, 3013, 2063, 1032, 888, 12585, 281, 1350, 18319, 2985, 0, 9223, 281, 6904, 21917, 267, 4535, 538, 717, 1066, 984, 548, 538, 476, 5197, 274, 267, 9310, 606, 9721, 957, 816, 269, 3571, 1101, 22968, 729, 1412, 13051, 1597, 19513, 8426, 7236, 262, 888, 12585, 281, 10874, 331, 1470, 345, 0, 9223, 281, 12096, 18701, 795, 777, 517, 3821, 568, 513, 829, 5371, 1190, 18290, 10825, 998, 5072, 543, 8685, 619, 1336, 538, 1585, 3552, 4025, 267, 3226, 14927, 3283, 267, 538, 519, 5177, 269, 1548, 568, 922, 811, 1455, 2012, 888, 12585, 281, 1810, 4486, 11002, 889, 16808, 0, 9223, 281, 3223, 4275, 26427, 2917, 543, 623, 1301, 5407, 18491, 571, 7902, 593, 513, 16826, 9783, 2063, 3923, 538, 513, 6429, 689, 799, 476, 1220, 273, 4670, 888, 12585, 281, 18846, 621, 899, 939, 330, 5069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18257, 1477, 15916, 5272, 28694, 267, 4653, 568, 19716, 781, 4303, 23228, 18257, 1477, 18257, 1477, 5814, 11885, 607, 5286, 5897, 288, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 15947, 289, 815, 1496, 273, 267, 275, 267, 277, 267, 279, 267, 1015, 15947, 311, 815, 1496, 15947, 258, 589, 317, 273, 1341, 289, 476, 7003, 10490, 3418, 1721, 1775, 538, 2039, 263, 271, 267, 288, 14857, 6352, 1029, 3890, 8029, 825, 2473, 6910, 10490, 5157, 30297, 288, 5157, 27994, 289, 5157, 29573, 2745, 11583, 3418, 288, 272, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 29573, 289, 272, 815, 5286, 15126, 8443, 273, 267, 275, 267, 277, 267, 279, 267, 1015, 29573, 2745, 10490, 272, 265, 288, 272, 1341, 645, 272, 3418, 18257, 1477, 18257, 1477, 5814, 11885, 607, 5286, 1477, 1551, 273, 815, 5286, 15126, 31912, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 25662, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 1496, 278, 267, 476, 279, 267, 476, 280, 267, 476, 277, 4649, 14963, 3418, 2745, 19906, 273, 17482, 264, 1948, 419, 509, 358, 421, 502, 369, 7511, 27310, 28578, 1477, 1551, 273, 17482, 815, 476, 275, 267, 274, 476, 1948, 32517, 362, 418, 498, 373, 419, 509, 358, 421, 502, 369, 27310, 28578, 8147, 21796, 357, 418, 482, 493, 16088, 30317, 27381, 510, 14748, 12255, 28884, 25520, 31308, 509, 23521, 354, 32517, 507, 418, 490, 479, 13601, 420, 485, 368, 1477, 2745, 19906, 273, 3418, 18257, 1477, 18257, 1477, 5814, 11885, 607, 5286, 5897, 12639, 24512, 815, 5286, 30784, 1052, 263, 271, 267, 6200, 267, 1015, 3418, 2745, 18828, 24512, 3418, 18257, 1477, 18257, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 28744, 18828, 28802, 11898, 263, 271, 267, 272, 267, 1911, 17903, 28744, 18828, 25910, 9230, 275, 267, 274, 30727, 258, 476, 10254, 505, 417, 375, 374, 271, 419, 509, 358, 421, 502, 369, 8147, 21796, 357, 418, 482, 493, 25263, 510, 13213, 505, 31308, 375, 7511, 9463, 480, 12255, 20992, 30317, 14756, 482, 32352, 417, 508, 489, 1477, 28744, 18828, 4318, 6614, 263, 276, 17903, 343, 815, 5286, 30784, 1052, 263, 279, 267, 476, 1428, 264, 258, 280, 268, 1626, 1477, 344, 26174, 815, 5286, 15126, 8443, 1428, 267, 1428, 267, 1428, 267, 1691, 267, 1428, 267, 866, 267, 2190, 29573, 344, 28804, 815, 5286, 15126, 8443, 1015, 267, 476, 1556, 267, 476, 1556, 267, 1321, 267, 1724, 267, 1691, 267, 1321, 29573, 10823, 19502, 3287, 267, 586, 26174, 3418, 10823, 19502, 3287, 267, 586, 28804, 3418, 10823, 26644, 2891, 10267, 978, 291, 340, 16661, 14744, 10823, 20481, 14052, 18257, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 5897, 343, 815, 5286, 30784, 1052, 263, 1001, 276, 267, 1708, 271, 3418, 7374, 815, 5286, 15126, 8443, 10482, 4905, 269, 1626, 267, 13199, 3583, 269, 2537, 267, 15946, 8660, 269, 4375, 267, 14631, 5655, 269, 6507, 267, 10204, 1321, 269, 4792, 29573, 290, 304, 815, 5286, 15126, 8443, 14991, 1704, 267, 10082, 6078, 267, 3707, 1839, 267, 10711, 8287, 267, 26951, 6860, 29573, 8663, 318, 12296, 815, 476, 271, 269, 274, 1477, 258, 17276, 510, 373, 29004, 362, 14035, 504, 14756, 482, 12255, 29004, 362, 14756, 502, 10254, 370, 418, 509, 365, 25051, 351, 18713, 378, 1477, 10823, 269, 8663, 3287, 267, 7131, 267, 476, 8700, 284, 8663, 318, 12296, 3418, 10823, 269, 8663, 3287, 266, 8663, 318, 12296, 267, 595, 304, 267, 12296, 284, 8663, 318, 12296, 3418, 10823, 269, 5586, 754, 8443, 257, 10267, 978, 291, 340, 14824, 2419, 784, 304, 532, 19312, 3418, 10823, 26644, 2891, 7374, 543, 595, 304, 12654, 14744, 10823, 20481, 31476, 0, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 5897, 11907, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 8079, 11434, 1948, 13127, 485, 484, 14035, 485, 12255, 29004, 362, 1477, 14808, 815, 12301, 8807, 2682, 3890, 23351, 1948, 476, 10254, 505, 417, 375, 374, 13200, 375, 27747, 481, 1477, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 280, 267, 280, 267, 10037, 264, 17264, 1948, 17276, 371, 375, 20693, 510, 14756, 502, 18713, 378, 25060, 374, 417, 509, 509, 1477, 1314, 19502, 16597, 264, 3546, 1948, 476, 14756, 502, 10254, 370, 18713, 378, 23989, 1477, 10823, 26644, 2891, 7069, 3689, 7612, 14744, 1314, 272, 815, 4453, 14491, 5334, 889, 7120, 263, 280, 267, 280, 267, 1691, 264, 17264, 1948, 17276, 371, 375, 20693, 510, 14756, 502, 18713, 378, 25060, 374, 417, 509, 509, 1477, 1314, 272, 19502, 16597, 264, 3546, 1948, 476, 14756, 502, 10254, 370, 18713, 378, 23989, 1477, 10823, 26644, 2891, 7069, 715, 12764, 7612, 14744, 10823, 20481, 3890, 567, 1948, 13127, 505, 378, 23989, 31271, 499, 419, 353, 374, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 2979, 692, 3698, 3845, 263, 28128, 272, 267, 1073, 329, 273, 2187, 453, 18257, 16849, 25355, 3845, 269, 15981, 692, 453, 258, 1401, 4003, 2013, 281, 519, 3845, 689, 1945, 547, 4986, 568, 20581, 269, 7102, 1843, 568, 6251, 982, 1100, 1843, 563, 14851, 1073, 329, 272, 2652, 7183, 610, 1073, 329, 273, 2652, 7183, 912, 453, 16596, 10581, 3488, 8882, 10807, 1948, 11408, 2362, 982, 1022, 824, 1871, 4849, 3294, 692, 453, 23251, 815, 2979, 28460, 263, 11274, 263, 28128, 272, 269, 6570, 314, 271, 316, 910, 1073, 329, 273, 269, 6570, 314, 271, 8079, 2878, 476, 273, 1341, 2612, 263, 28128, 272, 269, 6570, 314, 272, 316, 910, 1073, 329, 273, 269, 6570, 314, 272, 8079, 2878, 476, 273, 994, 16596, 1253, 692, 3698, 13026, 24998, 338, 267, 2990, 2187, 453, 31039, 815, 8771, 454, 22610, 1073, 329, 538, 3615, 912, 453, 14851, 1073, 329, 269, 6570, 314, 271, 316, 2652, 2990, 314, 271, 316, 543, 1073, 329, 269, 6570, 314, 272, 316, 2652, 2990, 314, 272, 14158, 4848, 16596, 6936, 692, 16596, 8771, 692, 5035, 10794, 912, 22592, 6449, 8181, 9191, 1345, 267, 7516, 2187, 453, 19677, 269, 1218, 815, 31460, 453, 19677, 269, 4302, 839, 815, 31460, 453, 19677, 8807, 797, 815, 11713, 453, 19677, 26942, 12296, 815, 7516, 314, 271, 2639, 453, 19677, 26942, 19417, 815, 7516, 314, 272, 2639, 453, 19677, 28333, 815, 476, 271, 454, 453, 19677, 269, 2908, 573, 815, 476, 271, 454, 28768, 22592, 782, 30606, 338, 4311, 2187, 453, 453, 718, 11917, 329, 338, 815, 11713, 453, 453, 718, 11917, 329, 338, 6834, 1582, 8807, 797, 454, 453, 22610, 2319, 538, 1582, 269, 1218, 912, 4848, 453, 718, 11917, 329, 338, 6834, 1582, 269, 1218, 314, 974, 600, 2639, 453, 22610, 2319, 538, 1582, 269, 4302, 839, 912, 4848, 453, 718, 11917, 329, 338, 6910, 4311, 269, 4302, 839, 314, 974, 600, 7481, 453, 16596, 782, 11917, 329, 338, 692, 22592, 1100, 15933, 4311, 267, 3615, 2187, 453, 453, 333, 1993, 797, 815, 11713, 453, 22610, 1073, 329, 538, 3615, 912, 4848, 14851, 711, 568, 27349, 263, 28128, 267, 5253, 2187, 15235, 453, 333, 1993, 797, 6910, 263, 28128, 2020, 453, 16596, 1100, 25988, 454, 28768, 22592, 1884, 10890, 4311, 267, 2319, 2187, 453, 453, 20135, 815, 476, 271, 454, 453, 22610, 1884, 538, 1582, 269, 1218, 314, 974, 600, 14158, 4848, 453, 20135, 6834, 1884, 269, 8234, 454, 453, 16596, 2698, 692, 5035, 8629, 912, 22592, 6449, 8181, 9191, 1345, 267, 2990, 267, 4159, 2026, 815, 7183, 2187, 453, 19677, 269, 5891, 2026, 815, 4159, 2026, 454, 453, 19677, 269, 6570, 815, 2990, 692, 5035, 4165, 263, 30606, 2187, 453, 13092, 10890, 815, 476, 1911, 454, 22592, 6449, 8181, 9191, 1345, 267, 3014, 267, 2319, 2187, 453, 453, 27273, 10490, 660, 267, 1582, 1040, 1029, 8181, 9191, 18524, 269, 4302, 839, 314, 974, 600, 4940, 6570, 267, 1412, 589, 262, 1341, 2319, 994, 453, 19677, 269, 974, 600, 815, 2319, 454, 453, 19677, 269, 8234, 815, 4165, 269, 13092, 10890, 454, 453, 19677, 16096, 16920, 871, 815, 476, 271, 454, 453, 19677, 269, 573, 815, 3014, 269, 2908, 573, 454, 453, 453, 18524, 269, 2908, 573, 6834, 476, 272, 454, 453, 453, 18524, 269, 1218, 314, 974, 600, 4940, 6572, 4311, 2020, 5035, 10348, 263, 30606, 2187, 453, 25988, 307, 1314, 815, 476, 271, 269, 4962, 454, 453, 13092, 10890, 815, 476, 1911, 271, 454, 22592, 6449, 8181, 9191, 1345, 267, 3014, 267, 2990, 267, 2319, 2187, 453, 453, 27273, 263, 20075, 523, 267, 1582, 1040, 1029, 8181, 9191, 6570, 267, 1412, 1627, 262, 1341, 2319, 994, 453, 19677, 269, 974, 600, 815, 2319, 454, 453, 19677, 269, 8234, 815, 10348, 269, 13092, 10890, 454, 453, 19677, 269, 573, 815, 3014, 269, 2908, 573, 454, 453, 453, 18524, 269, 2908, 573, 6834, 476, 272, 454, 453, 453, 18524, 269, 1218, 314, 974, 600, 316, 815, 29129, 5035, 5253, 263, 30606, 2187, 453, 26920, 815, 476, 1911, 454, 22592, 6449, 8181, 9191, 1345, 267, 3014, 267, 2990, 2187, 453, 453, 27273, 263, 15933, 267, 1582, 1040, 1029, 8181, 9191, 6570, 267, 1412, 674, 30386, 453, 19677, 269, 573, 815, 3014, 269, 2908, 573, 454, 453, 453, 18524, 269, 2908, 573, 6834, 476, 272, 454, 453, 19677, 269, 26920, 815, 5253, 269, 26920, 692, 0, 5228, 2979, 1104, 21762, 5897, 5035, 18858, 330, 583, 263, 2567, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 513, 267, 536, 267, 524, 8029, 1038, 952, 630, 320, 2999, 476, 271, 610, 536, 2999, 476, 271, 610, 524, 2999, 476, 271, 264, 610, 630, 320, 1341, 536, 10922, 524, 264, 610, 630, 322, 1341, 536, 10922, 513, 264, 610, 630, 320, 1341, 524, 10922, 536, 8029, 2018, 6318, 28759, 2891, 301, 6359, 324, 18858, 330, 583, 14744, 1038, 3116, 6769, 2018, 1582, 14857, 1598, 534, 823, 815, 630, 320, 267, 536, 267, 524, 10142, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 2132, 834, 339, 549, 330, 583, 4939, 328, 267, 4939, 328, 267, 4939, 328, 257, 4939, 630, 1345, 14857, 1598, 534, 823, 314, 271, 3910, 1582, 14857, 1598, 534, 823, 314, 272, 3910, 1582, 14857, 1598, 534, 823, 314, 273, 316, 10142, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 2132, 834, 307, 549, 330, 583, 630, 260, 328, 267, 4939, 328, 267, 4939, 328, 17983, 4939, 630, 1345, 14857, 1598, 534, 823, 314, 271, 3910, 1582, 14857, 1598, 534, 823, 314, 272, 3910, 1582, 14857, 1598, 534, 823, 314, 273, 316, 10142, 825, 1219, 1566, 572, 326, 4311, 8029, 1038, 2132, 630, 1345, 14857, 1598, 534, 823, 314, 271, 316, 1341, 1582, 14857, 1598, 534, 823, 314, 272, 316, 1341, 1582, 14857, 1598, 534, 823, 314, 273, 316, 10142, 825, 1219, 533, 990, 3464, 2088, 4311, 8029, 1038, 521, 815, 1582, 269, 641, 572, 326, 3890, 1315, 476, 273, 1477, 1038, 2132, 21762, 263, 630, 338, 910, 1582, 14857, 1598, 534, 823, 314, 271, 8079, 16732, 338, 910, 1582, 14857, 1598, 534, 823, 314, 272, 8079, 16732, 338, 910, 1582, 14857, 1598, 534, 823, 314, 273, 8079, 476, 3418, 0, 5035, 681, 1794, 331, 558, 752, 24998, 8029, 825, 12693, 10684, 328, 1990, 611, 520, 752, 5897, 825, 1219, 6449, 8181, 9191, 1345, 14720, 549, 329, 23364, 19885, 1794, 643, 23364, 284, 272, 8029, 1038, 952, 562, 1794, 643, 23364, 2525, 271, 281, 6318, 1401, 4003, 3488, 301, 1794, 643, 23364, 683, 4779, 2763, 3787, 328, 476, 271, 20298, 1038, 1582, 11519, 15842, 329, 23364, 284, 15842, 329, 23364, 1477, 1038, 1582, 11519, 333, 1794, 643, 23364, 284, 333, 1794, 643, 23364, 5897, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 2132, 262, 260, 323, 347, 260, 323, 262, 4939, 630, 1345, 11519, 15842, 329, 23364, 267, 1345, 11519, 333, 1794, 643, 23364, 10142, 825, 7711, 18878, 24709, 1477, 825, 1219, 12679, 345, 4311, 8029, 1038, 2132, 681, 1794, 331, 558, 752, 4311, 11519, 333, 1794, 643, 23364, 267, 1345, 11519, 15842, 329, 23364, 3418, 5897, 825, 12693, 570, 3285, 1990, 611, 520, 752, 1477, 825, 7711, 18878, 24709, 1477, 825, 1219, 5910, 341, 9461, 630, 11133, 8029, 1038, 1535, 284, 1193, 16325, 3418, 1038, 952, 711, 1412, 9538, 538, 1535, 6769, 2018, 2132, 476, 271, 1477, 1038, 2132, 7003, 3287, 264, 910, 343, 28827, 3488, 9538, 9984, 272, 24653, 825, 7711, 18878, 24709, 1477, 825, 1219, 588, 341, 9461, 630, 343, 281, 15615, 8029, 1038, 2156, 329, 20657, 284, 305, 1794, 331, 558, 752, 269, 13133, 341, 9461, 3287, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 922, 12918, 5223, 269, 1280, 1142, 1367, 689, 824, 12462, 339, 13759, 14615, 28047, 3008, 267, 649, 6383, 513, 6060, 7488, 540, 741, 2013, 20820, 4567, 269, 634, 6060, 729, 513, 22051, 2040, 540, 519, 2845, 263, 617, 1091, 264, 585, 1142, 2404, 27446, 3771, 321, 1819, 676, 606, 1367, 269, 8298, 2065, 9695, 540, 2013, 20820, 4567, 593, 9043, 6060, 538, 519, 3077, 2090, 3177, 2963, 602, 519, 19301, 303, 5036, 941, 8197, 16762, 540, 2013, 20820, 4567, 269, 634, 8464, 1152, 6045, 476, 274, 260, 540, 519, 13065, 538, 18624, 2013, 20820, 4567, 267, 855, 519, 1804, 3732, 7306, 24458, 602, 713, 729, 3810, 1713, 630, 1575, 547, 623, 815, 476, 273, 6398, 476, 1015, 6629, 2764, 1040, 6496, 713, 1267, 796, 25406, 665, 958, 2099, 519, 7020, 540, 3020, 1455, 21465, 4719, 14726, 286, 769, 519, 4959, 290, 1353, 267, 519, 2079, 2319, 2808, 5402, 2436, 9836, 3604, 1063, 2665, 543, 8060, 2066, 1353, 5439, 1223, 2491, 519, 2164, 269, 15510, 32756, 4667, 606, 12691, 1476, 10133, 1317, 519, 1482, 2551, 31324, 1131, 581, 2877, 538, 2665, 543, 8060, 1063, 32321, 3309, 5439, 269, 1717, 267, 7164, 2930, 13742, 971, 607, 5812, 3604, 2066, 2090, 538, 4859, 2175, 540, 4791, 2665, 5288, 2551, 25541, 8060, 949, 1869, 7173, 841, 269, 16200, 518, 21533, 602, 519, 1267, 1223, 711, 581, 6045, 2476, 3357, 689, 1210, 519, 4270, 2492, 11565, 8865, 6513, 3117, 24832, 2090, 540, 476, 278, 1950, 4719, 3676, 607, 3077, 1353, 5439, 282, 9691, 267, 519, 1482, 1852, 3732, 729, 3379, 609, 1142, 2068, 3732, 269, 1280, 519, 3077, 5439, 540, 18337, 16050, 2068, 267, 15867, 18255, 781, 2068, 267, 13119, 267, 27131, 12263, 267, 1826, 594, 3987, 267, 543, 1826, 4083, 3987, 267, 519, 4959, 290, 268, 30009, 19301, 303, 5036, 941, 711, 16762, 540, 2013, 20820, 4567, 630, 303, 3436, 1547, 4962, 1070, 855, 585, 17299, 4524, 267, 519, 8464, 6045, 5111, 476, 273, 260, 540, 519, 13065, 538, 2013, 20820, 4567, 693, 623, 815, 476, 272, 6398, 476, 1015, 6629, 1321, 267, 4946, 547, 519, 3395, 3332, 602, 7028, 513, 3838, 4719, 1696, 5735, 540, 18624, 543, 17299, 4524, 269, 1321, 267, 4343, 267, 2412, 634, 796, 25406, 5914, 3932, 568, 602, 1699, 5108, 11646, 17253, 19301, 303, 13365, 798, 11090, 930, 540, 519, 21465, 4719, 8390, 585, 18624, 269, 16393, 891, 2164, 1683, 1022, 2417, 5813, 883, 519, 4719, 6189, 540, 18624, 888, 2026, 851, 540, 519, 4959, 290, 1353, 267, 519, 4959, 290, 2079, 2319, 1031, 11191, 547, 2263, 1018, 4719, 25121, 1223, 2491, 519, 4806, 540, 2164, 649, 4718, 269, 634, 13502, 1031, 519, 1482, 3732, 2450, 543, 19301, 11679, 607, 538, 519, 1483, 1239, 269, 634, 6724, 9867, 941, 630, 328, 264, 519, 8167, 540, 1024, 12111, 539, 19301, 11679, 602, 28562, 2404, 21465, 14726, 267, 630, 4512, 264, 519, 1611, 1198, 2450, 540, 519, 21465, 14726, 267, 630, 13839, 264, 519, 3892, 540, 519, 1198, 2450, 540, 519, 21465, 14726, 267, 543, 630, 643, 264, 519, 3095, 720, 1669, 638, 10329, 1063, 519, 1024, 12111, 539, 543, 21465, 14726, 269, 634, 20533, 1239, 941, 9916, 538, 519, 1482, 1259, 607, 519, 1483, 1239, 543, 10659, 540, 6724, 602, 6383, 519, 1482, 4806, 540, 13065, 6045, 1210, 1114, 29676, 585, 519, 19301, 303, 5036, 1031, 538, 519, 3077, 5439, 941, 4857, 269, 3509, 10659, 540, 519, 6724, 1223, 581, 15653, 267, 855, 8449, 1082, 10659, 941, 5812, 609, 519, 4767, 2164, 269, 1306, 1336, 538, 2038, 2090, 11341, 4719, 3631, 547, 24088, 4220, 267, 543, 607, 4397, 689, 3830, 476, 272, 267, 519, 6117, 3196, 729, 519, 2698, 13065, 6045, 676, 519, 2404, 1327, 328, 282, 1082, 10659, 540, 1297, 540, 1327, 328, 267, 4908, 540, 2404, 1327, 328, 267, 543, 1198, 2450, 540, 2404, 1327, 328, 5352, 519, 1482, 13065, 6045, 269, 1809, 519, 13502, 1705, 1450, 930, 3631, 547, 581, 16934, 543, 547, 5352, 19165, 602, 666, 581, 7318, 607, 3732, 7306, 267, 543, 1024, 19685, 5860, 2333, 563, 763, 13502, 4847, 519, 17181, 540, 3631, 1141, 519, 1297, 540, 2404, 14726, 568, 1447, 982, 5111, 476, 1911, 269, 769, 891, 3871, 267, 519, 1198, 7306, 540, 519, 2404, 14726, 2877, 547, 581, 1804, 538, 1931, 547, 5352, 513, 9043, 602, 6045, 476, 274, 260, 540, 519, 13065, 538, 2013, 20820, 4567, 269, 1809, 952, 519, 1198, 7306, 941, 1804, 267, 1287, 789, 941, 3362, 9571, 609, 1970, 7681, 623, 2418, 269, 901, 5921, 602, 513, 19301, 303, 1305, 3989, 676, 513, 22608, 623, 1871, 12939, 6045, 513, 1164, 8167, 540, 519, 13065, 538, 2013, 20820, 4567, 267, 543, 4946, 3606, 19301, 11679, 693, 1447, 22608, 29676, 3274, 3773, 6846, 282, 713, 1705, 711, 3514, 609, 7422, 563, 763, 13502, 849, 4847, 519, 17181, 540, 3631, 540, 1152, 4686, 14726, 269, 31158, 1194, 3101, 602, 519, 1699, 5108, 540, 11646, 17253, 13365, 936, 10517, 6974, 1455, 19301, 11679, 267, 513, 4719, 6189, 540, 796, 2102, 12111, 539, 4686, 21465, 14726, 4171, 2360, 1223, 1152, 581, 9571, 998, 3095, 720, 1669, 638, 10329, 609, 1024, 12111, 539, 19301, 11679, 729, 11567, 269, 17738, 609, 1152, 4686, 14726, 540, 1360, 1804, 1198, 1223, 711, 5352, 519, 4806, 540, 13065, 6045, 538, 2013, 20820, 4567, 4767, 609, 13302, 569, 22608, 19301, 303, 5036, 269, 589, 2203, 609, 1152, 4686, 14726, 540, 9793, 1198, 1223, 5352, 713, 4806, 267, 855, 538, 713, 2013, 267, 519, 9295, 602, 27586, 540, 1114, 12451, 1500, 547, 519, 13065, 6045, 1705, 711, 6474, 519, 4767, 2164, 269, 29896, 540, 4686, 14726, 1152, 4951, 602, 19301, 11679, 609, 1970, 27446, 4908, 1131, 581, 4397, 547, 3565, 811, 547, 519, 13065, 6045, 538, 2013, 8060, 4567, 982, 729, 4767, 269, 901, 568, 1317, 519, 3095, 720, 1669, 638, 10329, 630, 337, 273, 264, 786, 581, 2362, 585, 19301, 11679, 4171, 5634, 27586, 616, 13745, 547, 519, 4686, 14583, 267, 3393, 543, 865, 789, 616, 811, 2693, 547, 5352, 4130, 623, 2418, 538, 606, 7681, 1449, 269, 589, 2203, 540, 1152, 4686, 14726, 267, 609, 2789, 4686, 14726, 1459, 593, 1455, 688, 7120, 4286, 10080, 267, 849, 1223, 711, 2491, 519, 2164, 563, 8256, 11962, 609, 3830, 476, 272, 267, 519, 4959, 290, 13502, 4951, 602, 649, 1223, 711, 10646, 1063, 513, 1507, 8167, 540, 519, 1024, 12111, 539, 14726, 2348, 1507, 1198, 2450, 543, 782, 1024, 12111, 539, 14726, 2348, 513, 1360, 1507, 1198, 2450, 543, 4061, 519, 21318, 540, 10659, 538, 1063, 269, 1717, 267, 519, 5812, 10659, 782, 11329, 547, 513, 4719, 13065, 540, 15668, 540, 476, 3953, 260, 1700, 3607, 260, 28562, 676, 519, 1024, 12111, 539, 19301, 11679, 269, 634, 13502, 723, 6383, 19165, 602, 786, 1831, 1449, 762, 538, 513, 5266, 2110, 942, 7406, 563, 763, 2164, 689, 28047, 3008, 1448, 9244, 547, 513, 4719, 6189, 540, 1082, 630, 335, 8432, 264, 4719, 14726, 269, 1358, 849, 17538, 602, 1312, 1455, 1428, 267, 1626, 267, 1240, 543, 4686, 14726, 1704, 267, 6078, 540, 1507, 1198, 3565, 547, 519, 4719, 6189, 540, 18624, 269, 8307, 942, 786, 2995, 519, 4719, 6189, 540, 519, 796, 27665, 539, 13065, 269, 12472, 776, 11976, 5012, 721, 547, 2503, 606, 700, 11057, 5379, 263, 528, 772, 8032, 5325, 609, 5418, 3999, 16552, 264, 3892, 540, 1981, 27446, 12451, 543, 606, 11201, 9756, 1063, 1981, 27446, 4908, 543, 1198, 2450, 269, 5379, 3245, 3830, 476, 272, 267, 649, 2503, 602, 267, 14350, 267, 4686, 14726, 786, 3565, 1152, 513, 1360, 1507, 851, 540, 519, 2949, 4719, 13065, 269, 4256, 2949, 9295, 547, 519, 13065, 5673, 593, 875, 1082, 972, 616, 563, 288, 1135, 4723, 545, 2203, 568, 711, 22522, 609, 519, 4307, 28437, 30846, 602, 1915, 3278, 18624, 1317, 1142, 1367, 786, 4163, 741, 1378, 2189, 14769, 540, 1981, 27586, 602, 949, 5352, 513, 8552, 540, 4307, 8040, 543, 4307, 28437, 30846, 269, 1280, 1383, 267, 585, 16134, 267, 1577, 721, 8263, 602, 972, 616, 476, 1911, 271, 4719, 14726, 7700, 547, 1981, 540, 2068, 1142, 609, 4908, 476, 271, 269, 272, 630, 29664, 476, 272, 267, 1535, 14289, 546, 1040, 3245, 23481, 3069, 267, 782, 2043, 538, 519, 2551, 4163, 693, 2547, 476, 5611, 1981, 27586, 267, 606, 3328, 1367, 11438, 476, 1220, 1981, 27586, 267, 543, 950, 2068, 9860, 568, 5111, 476, 271, 269, 7761, 260, 543, 1200, 527, 1464, 5111, 476, 271, 269, 278, 267, 1034, 540, 1346, 609, 2068, 4163, 476, 15996, 1700, 7742, 1981, 27586, 269, 3962, 786, 4163, 513, 1114, 1305, 540, 1981, 27586, 856, 540, 519, 5021, 540, 476, 1220, 271, 630, 273, 829, 30580, 1916, 3080, 12343, 540, 972, 1373, 1082, 1981, 14726, 568, 602, 519, 1764, 540, 513, 2016, 1981, 14583, 5673, 593, 519, 4719, 630, 663, 2825, 264, 4282, 540, 606, 1367, 269, 769, 938, 16866, 1383, 267, 972, 568, 1100, 18476, 3017, 538, 5506, 540, 2068, 585, 2043, 609, 476, 1220, 610, 476, 1001, 1981, 1327, 328, 267, 2943, 972, 568, 513, 3017, 1063, 2043, 609, 476, 13301, 610, 476, 25240, 1981, 1327, 328, 630, 29664, 476, 272, 1535, 14289, 546, 1040, 901, 1797, 602, 1981, 14726, 9571, 609, 513, 1507, 29294, 3448, 1981, 666, 1869, 581, 31127, 1360, 1271, 269, 4475, 267, 4857, 5963, 2404, 1455, 14726, 616, 17709, 540, 6198, 7634, 1256, 952, 741, 6059, 1198, 7306, 616, 1360, 1507, 563, 2171, 723, 3254, 602, 519, 10148, 540, 1970, 2068, 9860, 543, 1164, 1200, 527, 1464, 17538, 513, 14869, 2333, 538, 5506, 609, 2068, 585, 2043, 609, 513, 1164, 11411, 540, 1981, 27586, 269, 4475, 267, 513, 3339, 26737, 568, 9738, 950, 2043, 22426, 513, 19242, 1297, 540, 1981, 14726, 269, 901, 10522, 602, 6211, 1949, 666, 22771, 585, 5634, 24017, 689, 519, 3339, 11466, 267, 19838, 267, 998, 14595, 11444, 267, 865, 602, 519, 2068, 26737, 568, 1152, 7000, 950, 519, 1062, 3112, 22771, 585, 513, 1804, 1297, 540, 32677, 725, 269, 901, 2417, 10522, 513, 9645, 4110, 540, 21336, 3599, 540, 4719, 1570, 602, 568, 4625, 5812, 609, 513, 2039, 540, 2090, 267, 19838, 267, 5679, 12177, 856, 606, 3003, 5444, 540, 1634, 1599, 1419, 814, 1100, 610, 6397, 1764, 593, 519, 26737, 267, 4366, 1700, 7906, 543, 3940, 5872, 2090, 723, 3254, 602, 519, 5318, 5354, 540, 1634, 2068, 6090, 616, 14350, 1875, 24207, 269, 7367, 901, 7347, 1145, 2636, 13250, 540, 13592, 269, 7871, 5047, 267, 1247, 6436, 540, 13326, 5542, 8044, 1996, 1455, 14726, 540, 1804, 1198, 855, 711, 1996, 1082, 1455, 14726, 540, 1507, 1198, 269, 7918, 11569, 267, 952, 1142, 1950, 4719, 2068, 543, 16023, 568, 20690, 2740, 676, 5215, 540, 4719, 14726, 267, 3631, 540, 2789, 5418, 3999, 16552, 540, 1142, 1981, 14583, 4649, 616, 8209, 18505, 1042, 630, 773, 267, 513, 14583, 602, 814, 513, 2942, 1198, 593, 930, 4162, 949, 723, 513, 2318, 2500, 593, 1866, 1040, 13038, 5418, 3999, 16552, 568, 513, 7271, 547, 2226, 4719, 13065, 5325, 267, 6321, 1317, 519, 9295, 547, 8516, 540, 513, 1981, 27446, 9356, 922, 3328, 9295, 2066, 922, 5418, 3999, 22241, 3252, 563, 7049, 2045, 14726, 602, 24705, 1152, 513, 1507, 2333, 1981, 547, 2068, 616, 14350, 711, 3730, 538, 17782, 513, 1268, 781, 4719, 1981, 547, 2068, 269, 1717, 267, 513, 1981, 3830, 9256, 4527, 270, 11274, 775, 540, 1142, 1981, 14583, 543, 922, 1198, 2450, 666, 5352, 513, 10531, 12605, 540, 4719, 1981, 269, 1284, 11567, 713, 1966, 1210, 11191, 540, 28047, 3008, 269, 6872, 3776, 13502, 4951, 602, 1152, 950, 28047, 3008, 17663, 827, 476, 1911, 876, 2665, 543, 8060, 267, 1131, 621, 581, 2009, 585, 513, 3730, 8167, 540, 13065, 538, 2068, 4567, 547, 581, 6045, 267, 1256, 1498, 519, 4220, 24829, 676, 1367, 14726, 616, 1507, 269, 1403, 2404, 14726, 2491, 3368, 540, 519, 1634, 4719, 13065, 538, 15668, 540, 18624, 267, 1287, 513, 1617, 559, 1371, 4719, 1981, 9043, 1131, 5352, 606, 1858, 896, 519, 17513, 11346, 8984, 7455, 630, 320, 1134, 28004, 1907, 585, 8159, 519, 12117, 540, 4791, 10368, 543, 1322, 333, 8251, 4255, 538, 7157, 1362, 4328, 30428, 543, 562, 1180, 1047, 1078, 2043, 264, 540, 5111, 476, 271, 269, 280, 630, 301, 10611, 15030, 1421, 808, 269, 18708, 267, 12854, 267, 631, 9950, 269, 2696, 323, 731, 267, 12854, 267, 623, 8160, 17679, 1421, 476, 1220, 280, 10002, 21242, 1239, 267, 1916, 303, 1042, 2109, 540, 4719, 1981, 568, 5310, 2693, 547, 5352, 519, 1034, 7525, 1764, 540, 519, 2164, 540, 28047, 3008, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 320, 815, 10581, 9272, 15405, 321, 815, 10581, 9272, 15405, 322, 815, 10581, 9272, 15405, 323, 815, 10581, 9272, 15405, 324, 815, 10581, 9272, 15405, 325, 815, 10581, 9272, 31156, 12248, 815, 476, 271, 692, 604, 630, 320, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 604, 630, 321, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 604, 630, 322, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 604, 630, 323, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 604, 630, 324, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 604, 630, 325, 3436, 476, 271, 269, 271, 2187, 825, 1293, 815, 1293, 1341, 272, 692, 2745, 19304, 6262, 870, 264, 1341, 834, 1130, 2803, 27082, 643, 657, 5602, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 13700, 1662, 815, 3403, 4590, 3667, 815, 3403, 10797, 553, 342, 815, 834, 4840, 10946, 18045, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 29495, 264, 910, 476, 272, 2187, 825, 1101, 318, 12072, 815, 1257, 5157, 2639, 825, 2034, 318, 12072, 815, 1257, 5157, 1341, 476, 272, 6540, 825, 1293, 815, 476, 271, 692, 825, 585, 13797, 538, 2039, 263, 271, 267, 7003, 29495, 264, 910, 476, 272, 2187, 1038, 952, 1009, 318, 12072, 815, 1257, 314, 4512, 2639, 1038, 568, 324, 1718, 318, 12072, 815, 1257, 314, 4512, 1341, 476, 272, 2639, 1038, 952, 952, 1009, 318, 12072, 2652, 1101, 318, 12072, 543, 2034, 318, 12072, 2652, 568, 324, 1718, 318, 12072, 912, 2018, 1293, 815, 1293, 1341, 476, 272, 692, 825, 952, 630, 12248, 3436, 3193, 18045, 2187, 1038, 3193, 18045, 815, 1293, 454, 1038, 607, 342, 815, 1101, 318, 12072, 1341, 2034, 318, 12072, 19638, 2745, 263, 553, 342, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 320, 815, 703, 9272, 15405, 321, 815, 703, 9272, 31156, 12248, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 2381, 5416, 14720, 264, 1341, 476, 272, 267, 3193, 5416, 14720, 15892, 825, 952, 630, 328, 4939, 476, 273, 2652, 476, 272, 2187, 1038, 1293, 815, 1293, 1341, 1775, 7531, 2745, 630, 12248, 994, 0, 5814, 2979, 5897, 18257, 1477, 2691, 596, 9308, 3635, 547, 7794, 707, 2295, 267, 596, 1477, 29019, 2226, 707, 2295, 2557, 1369, 513, 2039, 585, 693, 2547, 476, 736, 1477, 2381, 2373, 269, 1677, 1265, 602, 2039, 267, 10208, 707, 2085, 689, 476, 13136, 269, 901, 1477, 18528, 2397, 568, 707, 5021, 2295, 2557, 829, 8792, 269, 2659, 2295, 1477, 13678, 2952, 786, 711, 10726, 5488, 982, 713, 5021, 630, 13136, 910, 2085, 1040, 1477, 2691, 16706, 547, 7794, 707, 2295, 267, 596, 1058, 1832, 707, 1477, 24711, 2557, 1063, 476, 4792, 260, 543, 476, 5952, 260, 540, 707, 2295, 781, 5021, 23228, 18257, 5897, 720, 815, 703, 9272, 3488, 8923, 4283, 707, 2085, 281, 1412, 17903, 10946, 318, 24711, 318, 3433, 815, 476, 13136, 910, 2085, 1477, 869, 318, 9792, 815, 476, 271, 269, 4792, 2608, 3193, 318, 24711, 318, 3433, 1477, 14683, 318, 9792, 815, 476, 271, 269, 5952, 2608, 3193, 318, 24711, 318, 3433, 5897, 2745, 3488, 2691, 596, 3635, 547, 7794, 707, 2295, 267, 596, 1058, 20298, 2745, 6600, 262, 18141, 707, 2295, 2557, 1063, 2715, 869, 318, 9792, 15545, 271, 325, 348, 543, 2715, 14683, 318, 9792, 15545, 271, 325, 348, 20054, 829, 8792, 9538, 264, 0, 1084, 318, 628, 902, 815, 834, 7343, 956, 2107, 5190, 595, 4900, 17791, 7483, 8752, 17491, 5016, 2745, 834, 310, 7159, 972, 616, 711, 476, 1015, 1919, 538, 602, 1592, 269, 2913, 781, 4368, 602, 3010, 560, 4428, 815, 4557, 318, 628, 902, 21858, 3488, 1412, 2020, 3467, 14067, 4428, 815, 22373, 21196, 2580, 834, 301, 697, 2580, 834, 306, 784, 2580, 834, 293, 5142, 23331, 2580, 834, 290, 1941, 2580, 834, 289, 534, 3570, 2580, 834, 294, 20071, 2580, 834, 289, 1195, 257, 6540, 6112, 7003, 263, 560, 4428, 264, 11203, 476, 1015, 281, 1948, 952, 711, 476, 1015, 3688, 538, 1412, 560, 4428, 7055, 453, 10113, 318, 821, 815, 811, 14067, 4428, 21014, 3890, 1948, 763, 1505, 1402, 3890, 18788, 543, 7024, 2063, 1843, 610, 1073, 329, 689, 519, 1592, 563, 20930, 15235, 453, 258, 3383, 621, 786, 1491, 15196, 267, 1287, 21756, 267, 1287, 14465, 3570, 267, 3092, 563, 13537, 834, 29002, 281, 14307, 1985, 318, 821, 476, 1948, 1607, 786, 1820, 519, 2063, 1843, 538, 1412, 3467, 14067, 4428, 7055, 453, 560, 4428, 6910, 263, 10113, 318, 821, 264, 453, 453, 258, 1607, 786, 1039, 630, 6572, 264, 602, 2063, 1843, 547, 1412, 560, 4428, 7055, 13537, 834, 2467, 616, 4939, 323, 3688, 1631, 1701, 4939, 7003, 263, 560, 4428, 264, 1948, 1607, 786, 1820, 519, 1297, 540, 3688, 1631, 538, 1412, 560, 4428, 7055, 2745, 834, 2467, 649, 979, 281, 14307, 8631, 1948, 5629, 519, 1247, 8520, 568, 2944, 32372, 476, 1015, 1070, 621, 786, 1820, 519, 1412, 560, 4428, 262, 1592, 609, 782, 454, 20930, 15235, 1948, 1015, 3688, 799, 568, 1412, 1084, 318, 628, 902, 262, 1341, 1412, 3467, 14067, 4428, 8339, 18564, 267, 711, 3388, 538, 3097, 20930, 15235, 1948, 3467, 14067, 4428, 786, 581, 3773, 1317, 519, 1247, 8520, 1175, 1616, 476, 1015, 3688, 780, 2745, 834, 4131, 781, 798, 930, 1919, 609, 8631, 3010, 2745, 8631, 314, 272, 316, 1948, 7468, 6493, 519, 1412, 16149, 262, 6221, 538, 1412, 560, 4428, 7055, 2745, 8631, 15631, 272, 316, 1948, 7468, 6493, 519, 2063, 6221, 538, 1412, 560, 4428, 7055, 2745, 8631, 21014, 3890, 1948, 7230, 7174, 543, 16493, 519, 2063, 621, 1889, 538, 1412, 560, 4428, 7055, 2745, 1412, 1412, 1547, 21860, 263, 560, 4428, 264, 1948, 1607, 786, 1152, 1820, 476, 280, 621, 6996, 689, 1412, 560, 4428, 262, 630, 5976, 513, 2230, 1063, 3688, 264, 2094, 519, 476, 1015, 628, 6221, 3097, 20930, 453, 258, 13195, 6569, 609, 1402, 1657, 563, 2745, 1412, 258, 262, 1547, 21860, 263, 560, 4428, 314, 274, 281, 276, 8079, 1948, 6546, 21555, 513, 834, 16435, 823, 257, 689, 519, 8631, 1592, 602, 568, 689, 3693, 476, 274, 547, 3693, 3097, 20930, 4848, 453, 258, 275, 267, 2495, 621, 1281, 711, 1331, 3693, 476, 276, 269, 898, 781, 2147, 547, 875, 2039, 263, 274, 267, 276, 264, 1131, 960, 563, 0, 18411, 32046, 593, 476, 280, 270, 6349, 270, 1001, 278, 692, 287, 10461, 281, 4432, 22013, 303, 601, 334, 454, 18257, 692, 3698, 6498, 9852, 19885, 2187, 825, 952, 562, 285, 332, 912, 1038, 2132, 476, 271, 454, 825, 3116, 912, 1038, 2132, 6498, 9852, 5991, 267, 562, 264, 1341, 476, 272, 454, 0, 12163, 1607, 9074, 13071, 596, 2259, 519, 589, 6717, 9331, 8085, 2969, 3036, 4806, 454, 514, 1896, 5929, 3029, 912, 567, 590, 9331, 300, 5058, 281, 825, 2698, 815, 2698, 1341, 1297, 454, 567, 2910, 7419, 16249, 281, 567, 1293, 815, 1293, 1341, 476, 272, 454, 567, 20724, 2207, 8980, 5058, 281, 476, 2040, 2719, 543, 10203, 5916, 454, 663, 454, 567, 674, 16898, 3036, 24361, 281, 476, 1535, 815, 1535, 2608, 737, 692, 8138, 2425, 550, 13838, 1577, 596, 2259, 519, 589, 6717, 9331, 8085, 2969, 3036, 4806, 454, 514, 922, 834, 514, 12449, 257, 1106, 912, 567, 5442, 16998, 4338, 295, 12903, 281, 567, 1535, 815, 1535, 1341, 19641, 692, 288, 18308, 281, 6424, 631, 8553, 2401, 267, 966, 756, 3873, 1325, 30865, 267, 20917, 645, 719, 749, 267, 25272, 17384, 267, 4460, 670, 904, 2676, 1363, 26826, 12070, 7219, 267, 741, 9164, 267, 543, 5484, 8316, 9469, 563, 18851, 476, 1948, 667, 821, 281, 476, 272, 269, 623, 7473, 22400, 715, 28719, 5442, 5990, 9474, 10976, 292, 700, 12114, 780, 5814, 2979, 454, 5814, 3710, 1231, 476, 1948, 8550, 2556, 267, 855, 1934, 585, 24099, 4128, 7531, 258, 476, 5785, 14343, 955, 8894, 258, 4841, 281, 1306, 596, 960, 1142, 540, 891, 2042, 267, 2307, 3054, 912, 258, 567, 476, 272, 269, 1684, 594, 991, 513, 8520, 888, 258, 8587, 1403, 865, 267, 670, 8582, 631, 3198, 312, 29486, 302, 4916, 888, 16482, 258, 567, 476, 273, 269, 7316, 594, 991, 513, 8520, 267, 1018, 2115, 547, 4755, 912, 258, 1038, 4534, 645, 9128, 16800, 519, 8520, 888, 258, 1038, 4534, 5442, 519, 8520, 888, 258, 1038, 4534, 19200, 9898, 519, 8520, 888, 258, 476, 5785, 14343, 955, 8894, 3698, 1292, 10031, 825, 5727, 595, 8712, 519, 567, 570, 12239, 567, 3252, 538, 713, 9074, 269, 8173, 825, 2196, 15305, 23544, 318, 5228, 4590, 825, 2196, 15305, 318, 2399, 3645, 4590, 825, 2196, 15305, 18045, 318, 6523, 1149, 318, 5228, 4590, 825, 2196, 15305, 23544, 318, 22780, 6958, 10330, 318, 5228, 30800, 258, 476, 5785, 14343, 955, 8894, 258, 4841, 281, 30426, 519, 476, 2196, 15305, 23544, 318, 5228, 476, 1599, 602, 5205, 713, 6085, 563, 258, 476, 5785, 14343, 955, 8894, 3698, 2196, 15305, 23544, 318, 5228, 10031, 825, 5727, 18873, 519, 567, 2040, 318, 5228, 567, 1599, 269, 8173, 825, 1820, 4590, 825, 1820, 3488, 24801, 734, 5073, 825, 1820, 3488, 14818, 532, 519, 567, 2040, 318, 5228, 567, 1599, 281, 5073, 825, 1820, 3488, 24801, 734, 17210, 825, 1948, 476, 5785, 14343, 8894, 825, 1948, 1452, 1101, 1079, 4255, 946, 606, 10758, 3722, 4041, 585, 4152, 2676, 825, 1948, 602, 568, 267, 513, 1259, 547, 1205, 519, 2626, 676, 1210, 930, 824, 1935, 454, 825, 1948, 602, 568, 1634, 547, 960, 7157, 563, 825, 1948, 567, 634, 522, 20432, 1934, 568, 519, 567, 3710, 1231, 27904, 825, 1599, 563, 825, 1948, 476, 5785, 14343, 7042, 825, 1948, 4530, 476, 272, 912, 825, 2626, 318, 5228, 318, 528, 12386, 815, 3710, 1231, 27904, 263, 9792, 263, 277, 267, 476, 1015, 4917, 825, 2626, 318, 5228, 318, 3240, 6831, 1712, 815, 2040, 318, 5228, 263, 277, 267, 476, 280, 994, 825, 1820, 3488, 14818, 476, 272, 4397, 630, 5228, 522, 20432, 2567, 3299, 2626, 318, 5228, 318, 528, 12386, 994, 825, 1820, 3488, 11434, 4890, 630, 5228, 1250, 3009, 2567, 22207, 2626, 318, 5228, 318, 3240, 6831, 1712, 2020, 825, 1948, 4530, 476, 273, 912, 825, 2626, 318, 5228, 318, 528, 12386, 815, 3710, 1231, 27904, 263, 9792, 263, 1911, 267, 476, 1911, 4905, 4917, 825, 2626, 318, 5228, 318, 3240, 6831, 1712, 815, 2040, 318, 5228, 263, 1911, 267, 476, 1911, 876, 994, 825, 1820, 3488, 14818, 476, 273, 4397, 630, 5228, 522, 20432, 2567, 3299, 2626, 318, 5228, 318, 528, 12386, 994, 825, 1820, 3488, 11434, 4890, 630, 5228, 1250, 3009, 2567, 22207, 2626, 318, 5228, 318, 3240, 6831, 1712, 2020, 825, 1948, 476, 5785, 14343, 8894, 825, 1948, 634, 1985, 1449, 3096, 513, 918, 301, 32052, 2626, 630, 17141, 17223, 676, 1688, 1916, 825, 1948, 567, 630, 25444, 834, 3104, 338, 257, 602, 519, 2040, 689, 476, 271, 547, 476, 274, 568, 476, 271, 266, 272, 266, 273, 266, 274, 267, 1775, 4318, 269, 476, 277, 8094, 825, 1948, 476, 5785, 14343, 7042, 825, 1948, 4530, 476, 274, 912, 825, 2626, 318, 5228, 318, 2421, 318, 8518, 815, 476, 277, 454, 825, 2626, 318, 5228, 318, 3240, 6831, 1712, 815, 2040, 318, 5228, 263, 271, 267, 476, 274, 994, 825, 1820, 3488, 14818, 476, 274, 4397, 630, 5228, 676, 11804, 2567, 3299, 2626, 318, 5228, 318, 2421, 318, 8518, 994, 825, 1820, 3488, 11434, 4890, 630, 5228, 1250, 3009, 2567, 476, 22207, 2626, 318, 5228, 318, 3240, 6831, 1712, 2020, 825, 1948, 476, 5785, 14343, 8894, 825, 1948, 634, 1985, 1449, 3096, 513, 11123, 300, 308, 6369, 2626, 630, 6518, 568, 835, 2186, 540, 10758, 3722, 4041, 2626, 994, 825, 1948, 602, 3096, 519, 4542, 912, 825, 1948, 672, 544, 1341, 630, 332, 266, 272, 264, 1341, 630, 332, 266, 273, 264, 1341, 476, 3267, 476, 1341, 562, 476, 815, 476, 630, 332, 1341, 562, 264, 2608, 630, 333, 910, 544, 1341, 476, 272, 264, 1315, 476, 273, 454, 825, 1948, 476, 5785, 14343, 7042, 825, 1948, 4530, 476, 275, 912, 825, 2626, 318, 5228, 318, 845, 3121, 815, 630, 7871, 1341, 476, 275, 4200, 280, 264, 2608, 630, 275, 4200, 280, 910, 476, 7871, 1341, 476, 272, 264, 12262, 476, 273, 454, 825, 2626, 318, 5228, 318, 3240, 6831, 1712, 815, 2040, 318, 5228, 263, 7871, 267, 476, 275, 4200, 280, 994, 825, 1820, 3488, 14818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 6060, 27182, 2187, 825, 4484, 28767, 815, 13634, 1038, 1412, 20067, 296, 5495, 299, 24520, 4306, 9166, 272, 2676, 1038, 1412, 291, 294, 9166, 476, 273, 2676, 1038, 1412, 6195, 6573, 9166, 476, 274, 2676, 1038, 1412, 293, 295, 309, 310, 312, 9166, 476, 275, 2676, 1038, 1412, 298, 9166, 476, 276, 2676, 1038, 1412, 297, 311, 9166, 476, 279, 2676, 1363, 1412, 304, 313, 9166, 476, 1015, 454, 825, 7684, 692, 825, 2132, 2040, 8443, 12072, 28767, 314, 4486, 316, 585, 1347, 538, 2262, 585, 1883, 538, 4484, 28767, 269, 12399, 3890, 952, 1347, 269, 21639, 3890, 538, 1883, 7481, 0, 5035, 25439, 10831, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1297, 2187, 1038, 1582, 8542, 3784, 815, 1582, 15630, 20311, 28840, 994, 1038, 1582, 269, 19327, 6831, 1712, 815, 1582, 15630, 318, 19327, 6831, 1712, 4311, 8542, 3784, 11468, 274, 20285, 825, 1219, 1305, 20311, 4311, 267, 1297, 2187, 1038, 1297, 815, 1496, 323, 585, 546, 538, 1297, 952, 546, 18994, 323, 13424, 3890, 2639, 1038, 952, 7003, 28840, 264, 3436, 476, 1015, 912, 2018, 952, 703, 28840, 314, 271, 8079, 11203, 476, 272, 912, 3546, 6318, 28759, 3488, 1556, 9704, 1281, 711, 1376, 609, 513, 476, 272, 5073, 2018, 1297, 815, 1297, 314, 272, 281, 2639, 1038, 952, 703, 28840, 314, 274, 8079, 2999, 476, 273, 912, 2018, 6318, 28759, 3488, 1410, 4219, 3009, 1590, 581, 476, 273, 268, 280, 5073, 1038, 2132, 1412, 8339, 21860, 28840, 2020, 825, 1219, 1305, 318, 19327, 6831, 1712, 4311, 267, 3009, 2187, 1038, 952, 703, 6262, 1712, 314, 271, 8079, 2999, 476, 273, 912, 2018, 6318, 28759, 3488, 19327, 6831, 1712, 1590, 581, 476, 273, 268, 280, 5073, 1038, 2132, 3009, 692, 825, 1219, 7168, 4311, 2187, 1038, 2132, 535, 262, 20719, 1345, 269, 19327, 6831, 1712, 348, 9984, 346, 1345, 8542, 3784, 314, 274, 281, 277, 316, 18511, 346, 1345, 8542, 3784, 15631, 275, 281, 316, 348, 262, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 533, 333, 815, 25439, 10831, 3488, 23417, 269, 27174, 269, 4281, 280, 271, 5073, 825, 1820, 9638, 333, 8542, 3784, 994, 0, 3698, 2040, 15058, 8548, 738, 328, 1255, 263, 3916, 527, 267, 23385, 2187, 825, 952, 476, 271, 538, 23385, 912, 1038, 585, 4642, 538, 2039, 9852, 738, 328, 1255, 29644, 263, 271, 15892, 2018, 23385, 31927, 263, 271, 994, 825, 952, 476, 272, 538, 23385, 912, 1038, 2132, 3970, 2608, 630, 3916, 527, 910, 476, 272, 264, 1315, 476, 273, 454, 825, 952, 7003, 9852, 738, 328, 1255, 264, 2652, 476, 271, 912, 1038, 2132, 476, 271, 692, 825, 1267, 815, 1305, 4590, 825, 585, 1775, 538, 2039, 263, 272, 267, 3970, 2187, 1038, 585, 795, 538, 23385, 912, 2018, 952, 1775, 4939, 795, 2652, 476, 271, 912, 3546, 1267, 14491, 9217, 994, 825, 2132, 2040, 31114, 994, 0, 2745, 2891, 15916, 267, 2622, 10590, 5148, 7531, 604, 476, 276, 283, 278, 912, 825, 1820, 2891, 276, 568, 3152, 982, 476, 278, 5602, 825, 1820, 2891, 29582, 5602, 12828, 912, 825, 1820, 2891, 276, 568, 14758, 8442, 672, 7531, 343, 284, 275, 3248, 344, 284, 276, 16963, 345, 24210, 265, 344, 16963, 2745, 263, 1193, 3287, 264, 1341, 834, 265, 257, 1341, 1193, 12169, 264, 1341, 834, 6889, 1341, 1193, 18750, 264, 25589, 604, 476, 276, 283, 278, 912, 825, 1820, 263, 1193, 3287, 264, 1341, 834, 266, 257, 1341, 1193, 12169, 264, 1341, 834, 6889, 1341, 1598, 18750, 264, 12467, 12828, 912, 825, 1820, 263, 1193, 3287, 264, 1341, 834, 265, 257, 1341, 1193, 12169, 264, 1341, 834, 6889, 1341, 1193, 18750, 264, 25589, 692, 0, 5814, 2979, 24653, 3698, 18592, 6831, 22511, 263, 31709, 8029, 825, 15981, 630, 15893, 264, 9847, 10581, 1477, 825, 17776, 519, 18592, 540, 513, 5858, 609, 2016, 8953, 267, 1477, 825, 1739, 3830, 700, 815, 476, 273, 265, 337, 265, 303, 328, 23228, 825, 21188, 18592, 6831, 22511, 263, 273, 3418, 825, 476, 1321, 269, 276, 5780, 1477, 825, 21188, 18592, 6831, 22511, 263, 276, 269, 276, 3418, 825, 476, 4097, 269, 4649, 278, 1477, 825, 21188, 18592, 6831, 22511, 263, 11277, 275, 324, 1428, 3418, 825, 476, 278, 269, 4037, 274, 3393, 324, 266, 1240, 1477, 825, 15981, 1477, 24541, 825, 2132, 476, 273, 2608, 8953, 2608, 2979, 32564, 5897, 24653, 3698, 1858, 6831, 22511, 263, 31709, 8029, 825, 15981, 630, 15893, 264, 9847, 10581, 1477, 825, 17776, 519, 1858, 540, 513, 5858, 609, 2016, 8953, 267, 1477, 825, 1739, 3830, 623, 815, 678, 317, 273, 2608, 13100, 23228, 825, 21188, 1858, 6831, 22511, 263, 273, 3418, 825, 476, 1321, 269, 276, 5780, 1477, 825, 21188, 1858, 6831, 22511, 263, 276, 269, 276, 3418, 825, 476, 4817, 269, 30033, 1477, 825, 21188, 1858, 6831, 22511, 263, 11277, 275, 324, 1428, 3418, 825, 476, 275, 269, 4281, 275, 324, 266, 3607, 1477, 825, 15981, 5897, 825, 2132, 8953, 1262, 273, 2608, 2979, 32564, 5897, 24653, 3698, 4320, 318, 4944, 1877, 263, 31709, 8029, 825, 15981, 630, 15893, 264, 9847, 10581, 1477, 825, 17776, 519, 4320, 540, 513, 12106, 609, 2016, 8953, 267, 1477, 825, 1739, 519, 3830, 966, 815, 630, 275, 270, 274, 31618, 337, 317, 274, 12684, 303, 328, 23228, 825, 21188, 4320, 318, 4944, 1877, 263, 273, 3418, 825, 476, 3451, 269, 27944, 1477, 825, 21188, 4320, 318, 4944, 1877, 263, 276, 269, 276, 3418, 825, 476, 7597, 277, 269, 11011, 1477, 825, 21188, 4320, 318, 4944, 1877, 263, 11277, 275, 324, 1428, 3418, 825, 476, 278, 269, 9262, 272, 324, 266, 7918, 1477, 825, 15981, 5897, 825, 2132, 630, 275, 270, 274, 264, 2608, 630, 31709, 1262, 274, 264, 2608, 2979, 32564, 1477, 24541, 0, 18851, 25284, 320, 964, 523, 14179, 341, 18480, 14255, 772, 15709, 297, 16948, 5676, 2088, 13641, 677, 21573, 552, 5358, 7776, 18851, 5897, 3698, 14255, 24899, 12584, 5416, 14720, 8029, 825, 1948, 4958, 1941, 320, 15259, 3693, 657, 1100, 635, 12584, 1303, 516, 5918, 553, 1592, 553, 1412, 320, 262, 552, 1412, 321, 262, 1477, 825, 14255, 24899, 12584, 815, 1496, 15947, 672, 5897, 825, 585, 1775, 538, 2039, 630, 271, 267, 6352, 5416, 264, 8029, 17264, 1477, 1038, 952, 711, 630, 320, 5157, 316, 538, 536, 8029, 2018, 14255, 24899, 12584, 815, 14255, 24899, 12584, 1341, 1496, 320, 5157, 14963, 1477, 4449, 24541, 825, 585, 1775, 538, 2039, 630, 271, 267, 6352, 6357, 264, 8029, 17264, 1477, 1038, 952, 711, 630, 321, 5157, 316, 538, 513, 8029, 2018, 14255, 24899, 12584, 815, 14255, 24899, 12584, 1341, 1496, 321, 5157, 14963, 5897, 4449, 1477, 825, 2132, 14255, 24899, 12584, 1477, 0, 5814, 19474, 12221, 454, 5035, 13332, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4994, 267, 4626, 652, 2086, 267, 1543, 267, 3105, 20189, 1662, 2187, 8587, 1582, 28827, 815, 4994, 454, 8587, 1582, 6745, 574, 652, 2086, 815, 4626, 652, 2086, 454, 8587, 1582, 269, 20880, 815, 1543, 454, 8587, 1582, 269, 2181, 2365, 20189, 1662, 815, 3105, 20189, 1662, 454, 8587, 1582, 19544, 1662, 815, 1582, 269, 5632, 322, 20189, 1662, 10797, 825, 1219, 18287, 20189, 1662, 4311, 2187, 8587, 695, 320, 815, 19474, 12221, 11075, 320, 16348, 4590, 8587, 695, 320, 269, 26303, 19304, 4311, 28827, 1040, 523, 13892, 3488, 583, 325, 268, 279, 10807, 30492, 4449, 1193, 4311, 6745, 574, 652, 2086, 1040, 523, 13892, 3488, 583, 325, 268, 279, 10807, 30492, 4449, 1193, 4311, 269, 20880, 1040, 523, 13892, 3488, 583, 325, 268, 279, 10807, 30492, 4449, 1193, 4311, 269, 2181, 2365, 20189, 1662, 1040, 523, 13892, 3488, 583, 325, 268, 279, 29125, 8587, 2132, 695, 320, 269, 28411, 21745, 652, 10797, 300, 275, 28343, 2419, 664, 815, 29129, 5228, 30220, 1104, 30220, 454, 3698, 1711, 318, 2102, 8412, 318, 23026, 10031, 825, 2132, 13332, 263, 271, 267, 30220, 269, 852, 19572, 834, 7049, 8412, 13332, 2580, 834, 271, 15419, 300, 275, 28343, 2419, 664, 6910, 263, 22056, 318, 2102, 8412, 318, 23026, 3890, 9239, 258, 2328, 513, 1599, 2387, 10113, 318, 23026, 319, 547, 5352, 513, 3625, 454, 3698, 1985, 318, 23026, 10857, 770, 318, 23026, 2187, 825, 9893, 16229, 815, 2063, 318, 23026, 28827, 1341, 476, 272, 454, 825, 1948, 5417, 4626, 652, 2086, 454, 825, 1985, 318, 23026, 4671, 574, 652, 2086, 815, 30220, 269, 852, 4590, 825, 1948, 2102, 4733, 1543, 454, 825, 1985, 318, 23026, 318, 20880, 815, 834, 28343, 7089, 1948, 281, 14307, 476, 1193, 263, 23026, 7798, 16229, 994, 825, 3105, 318, 23026, 7798, 20189, 1662, 815, 2063, 318, 23026, 19544, 1662, 692, 825, 1948, 3698, 710, 519, 1007, 3625, 1934, 454, 825, 2132, 13332, 263, 23026, 7798, 16229, 267, 1985, 318, 23026, 4671, 574, 652, 2086, 267, 1985, 318, 23026, 318, 20880, 267, 3105, 318, 23026, 7798, 20189, 1662, 994, 825, 1948, 14818, 7179, 1599, 454, 825, 1948, 2745, 2891, 301, 11246, 19154, 8016, 298, 717, 2894, 2207, 28714, 281, 14307, 21777, 318, 23026, 267, 9893, 16229, 2020, 7531, 258, 16289, 476, 276, 7161, 547, 519, 9893, 454, 3698, 813, 6958, 633, 263, 23026, 8217, 2187, 476, 16289, 23026, 7407, 815, 476, 276, 692, 476, 585, 1775, 538, 2039, 263, 6572, 23026, 7407, 2187, 825, 1948, 1326, 3259, 454, 825, 9893, 28747, 815, 7003, 263, 23026, 8217, 994, 825, 1948, 32061, 4087, 454, 825, 12363, 318, 23026, 815, 3625, 8217, 314, 23026, 7798, 28747, 268, 272, 2639, 825, 1948, 6572, 547, 5532, 1592, 454, 825, 3625, 8217, 6910, 263, 10113, 318, 23026, 263, 3410, 1400, 318, 23026, 11723, 476, 1948, 2745, 263, 23026, 8217, 994, 476, 1948, 2132, 3625, 8217, 7531, 258, 631, 275, 28343, 2419, 664, 6910, 263, 1952, 6958, 633, 29687, 275, 28343, 2419, 664, 4917, 258, 1820, 12759, 29687, 275, 28343, 2419, 664, 4917, 258, 1820, 2891, 14140, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 271, 4940, 8161, 994, 258, 1820, 2891, 16149, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 272, 4940, 8161, 994, 258, 1820, 2891, 628, 2273, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 273, 4940, 8161, 994, 258, 1820, 2891, 27917, 628, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 274, 4940, 8161, 994, 258, 1820, 2891, 325, 604, 628, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 275, 4940, 8161, 994, 258, 1820, 2891, 325, 604, 628, 3625, 281, 14307, 631, 275, 28343, 2419, 664, 314, 276, 4940, 8161, 994, 0, 18257, 14433, 568, 20822, 1599, 543, 18085, 946, 585, 538, 621, 23288, 258, 1535, 284, 14433, 513, 14720, 281, 320, 17070, 454, 258, 1820, 3287, 263, 274, 267, 273, 4917, 258, 1820, 3287, 2020, 258, 1219, 1039, 5416, 14720, 2187, 258, 672, 2132, 513, 17070, 454, 258, 1820, 263, 5417, 2020, 344, 815, 25754, 521, 281, 338, 15631, 272, 2639, 2745, 12169, 3488, 571, 10937, 10807, 2020, 345, 815, 25754, 521, 281, 6936, 952, 7003, 4433, 264, 285, 276, 3116, 8771, 454, 2745, 18750, 3488, 337, 329, 752, 30670, 1990, 3488, 332, 1690, 752, 321, 1690, 328, 262, 4297, 0, 5228, 17511, 1104, 590, 1242, 7531, 5035, 12287, 912, 825, 1293, 815, 476, 271, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 6600, 262, 346, 1345, 348, 2813, 5073, 1038, 12287, 29644, 23785, 272, 692, 825, 1948, 5035, 1505, 454, 825, 7711, 5035, 24709, 2018, 1948, 5035, 1505, 7718, 1807, 825, 454, 825, 1219, 1293, 6958, 15635, 263, 743, 338, 2567, 1038, 1948, 933, 2285, 14487, 607, 804, 338, 711, 1362, 607, 1362, 568, 585, 10747, 1362, 865, 649, 946, 30246, 804, 338, 454, 1038, 2132, 535, 262, 15953, 2813, 815, 2715, 743, 338, 29644, 348, 1412, 7531, 825, 1948, 18878, 1505, 454, 825, 7711, 18878, 24709, 476, 1948, 18878, 1505, 7718, 1807, 3097, 825, 1219, 11979, 263, 2567, 567, 1948, 18878, 1505, 1281, 711, 1491, 9936, 540, 804, 338, 610, 1582, 607, 621, 568, 11979, 585, 1362, 543, 782, 1843, 454, 1038, 2132, 535, 781, 339, 1738, 1505, 1572, 28847, 1363, 7531, 335, 272, 815, 12287, 4590, 258, 1820, 27456, 3205, 29644, 267, 533, 272, 29644, 994, 335, 273, 815, 12287, 4590, 335, 274, 815, 12287, 4590, 258, 1820, 9638, 272, 29644, 28872, 273, 29644, 267, 533, 274, 29644, 994, 258, 1820, 9638, 272, 14857, 18743, 1029, 267, 533, 273, 14857, 18743, 1029, 267, 31094, 14857, 18743, 1029, 994, 258, 1820, 27456, 3205, 29644, 9239, 258, 5035, 1505, 10912, 454, 2745, 27456, 3205, 29644, 6958, 15635, 15405, 2745, 9638, 272, 29644, 6958, 15635, 28829, 476, 1948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2189, 4030, 883, 519, 1272, 12583, 540, 891, 8903, 7286, 11864, 563, 2080, 616, 8906, 827, 524, 564, 864, 534, 7350, 543, 2623, 267, 689, 519, 2168, 3604, 543, 14624, 1851, 519, 536, 1446, 523, 543, 547, 582, 1117, 16385, 547, 741, 3810, 10995, 10122, 543, 8023, 2409, 269, 634, 10470, 1222, 543, 20282, 2853, 267, 1920, 3347, 543, 519, 15400, 7554, 1851, 930, 1920, 2818, 616, 4241, 269, 634, 1623, 874, 4577, 21917, 540, 519, 17962, 1158, 568, 519, 1208, 335, 3724, 17962, 267, 4171, 1950, 476, 1789, 18826, 8964, 2847, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5475, 4118, 543, 22684, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3778, 1315, 14195, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 3059, 2085, 267, 4213, 7048, 8185, 593, 741, 12240, 547, 4558, 543, 4383, 2629, 1344, 269, 1306, 971, 267, 621, 814, 1831, 5051, 1271, 585, 3906, 547, 2327, 519, 8244, 267, 3354, 267, 543, 8699, 540, 891, 1949, 269, 901, 6770, 721, 547, 519, 1909, 540, 513, 14069, 18218, 18482, 8556, 15249, 630, 291, 10621, 1040, 589, 667, 10621, 568, 3743, 585, 5883, 543, 4509, 14069, 5395, 951, 267, 4180, 789, 7500, 7561, 1247, 5870, 519, 2115, 540, 519, 3919, 780, 4263, 519, 2295, 540, 1022, 4901, 827, 14069, 18218, 7245, 6013, 9786, 14069, 18218, 1107, 513, 3532, 22228, 6538, 2359, 1062, 1031, 676, 1082, 16904, 5001, 269, 2060, 922, 7347, 4183, 1305, 543, 25382, 267, 14069, 18218, 6087, 4213, 547, 1628, 1164, 26024, 3156, 5827, 540, 7829, 1804, 12531, 540, 1239, 269, 2368, 1883, 3334, 540, 14069, 18218, 1331, 7515, 267, 6740, 5773, 267, 5784, 267, 30455, 267, 12153, 267, 543, 3593, 20452, 3252, 269, 1452, 2609, 948, 24766, 2026, 11126, 13214, 2773, 267, 17997, 1239, 8699, 267, 543, 14458, 3498, 1646, 780, 3080, 1898, 2460, 540, 14069, 18218, 7245, 3322, 2870, 543, 8848, 1005, 12240, 2687, 547, 1808, 4170, 269, 1879, 4259, 909, 513, 1007, 6538, 267, 24766, 2026, 1590, 2015, 2188, 899, 4859, 4087, 267, 3758, 2208, 5468, 267, 2458, 566, 267, 543, 6051, 2203, 269, 3962, 3375, 4249, 513, 1713, 1909, 538, 8159, 875, 1134, 519, 6538, 15824, 896, 1585, 2175, 269, 1280, 3236, 267, 7446, 519, 1318, 6051, 2203, 1765, 13678, 921, 267, 2407, 267, 610, 13557, 2000, 690, 3022, 1765, 24119, 1742, 593, 2436, 519, 3919, 2418, 1448, 2987, 6066, 6051, 610, 5488, 2328, 4238, 780, 5194, 4909, 5539, 540, 513, 14069, 18218, 667, 10621, 568, 5883, 3354, 269, 23496, 3617, 1569, 8060, 267, 14238, 267, 543, 2912, 1746, 6127, 616, 538, 1747, 2337, 2149, 6213, 1344, 689, 18977, 3755, 269, 1677, 3035, 713, 3804, 267, 24766, 2026, 946, 1585, 3354, 2934, 3177, 676, 14069, 18218, 267, 971, 607, 2845, 1231, 267, 5107, 267, 6562, 553, 267, 22783, 267, 543, 12623, 13240, 10569, 269, 1635, 26471, 27704, 693, 1114, 2157, 630, 338, 13996, 267, 6538, 267, 610, 1843, 1070, 24766, 2026, 10880, 513, 3666, 1063, 3246, 2556, 1569, 543, 10893, 1761, 4220, 780, 12507, 13501, 543, 30076, 1106, 1776, 7533, 851, 540, 14069, 18218, 7245, 269, 24766, 2026, 991, 547, 1832, 3950, 540, 7746, 2200, 630, 9573, 308, 267, 3965, 267, 12210, 2230, 264, 543, 6895, 14511, 585, 4420, 6352, 1815, 802, 610, 1279, 11056, 2053, 269, 13088, 899, 14069, 18218, 5004, 22456, 630, 7704, 5960, 1070, 6422, 2359, 5784, 630, 19699, 26394, 1070, 543, 6905, 2621, 5512, 16984, 547, 2697, 2152, 3533, 543, 1491, 30997, 2962, 950, 2877, 269, 5015, 267, 7421, 7227, 7194, 267, 22589, 1072, 11974, 267, 543, 17265, 5470, 20743, 3565, 3648, 2509, 14942, 5826, 543, 6099, 2773, 25122, 780, 11947, 8244, 543, 9568, 6051, 616, 849, 1283, 14422, 585, 24766, 2026, 269, 20074, 3435, 899, 11408, 4002, 2997, 22355, 20492, 267, 6538, 8272, 337, 1681, 267, 610, 2845, 11288, 5849, 8766, 29987, 1282, 9709, 5826, 610, 6397, 856, 1137, 269, 5047, 267, 16107, 4066, 971, 607, 3111, 1478, 24159, 267, 18643, 267, 543, 19307, 270, 6135, 648, 2994, 18715, 1239, 4027, 543, 2656, 6051, 538, 2013, 540, 12469, 780, 1103, 3932, 267, 1373, 513, 3811, 14069, 18218, 18482, 8556, 15249, 3340, 17117, 540, 1896, 1983, 543, 2620, 1702, 540, 519, 3760, 781, 7207, 269, 3245, 8888, 3608, 6538, 3889, 547, 17516, 1569, 1852, 3800, 543, 5464, 4199, 13345, 267, 24766, 2026, 1404, 513, 4105, 1909, 538, 6117, 10721, 1967, 998, 2500, 2359, 540, 5692, 2275, 15560, 1949, 269, 853, 11691, 8242, 609, 6932, 3466, 267, 1655, 2853, 267, 543, 6639, 7760, 786, 2417, 16491, 4648, 538, 713, 2361, 547, 10994, 9687, 2591, 2212, 6823, 543, 3136, 12419, 11108, 2164, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3682, 7217, 781, 8837, 18218, 476, 1001, 280, 9568, 6051, 4058, 29801, 666, 4217, 707, 1870, 547, 1544, 543, 11766, 513, 9568, 6051, 1062, 3710, 1472, 9786, 781, 6531, 2389, 6479, 674, 841, 1478, 1849, 755, 1359, 2645, 1519, 1849, 13831, 30498, 267, 19554, 1234, 2364, 320, 267, 19554, 28805, 6034, 267, 14044, 10724, 20509, 21344, 267, 543, 13192, 654, 5893, 563, 19859, 7809, 14069, 18218, 476, 1220, 271, 568, 513, 3638, 267, 5680, 10276, 12574, 6538, 543, 1239, 2079, 10189, 602, 10741, 519, 7450, 547, 519, 3728, 5137, 540, 513, 1007, 5108, 540, 13055, 11665, 3292, 602, 666, 2285, 707, 2754, 513, 2565, 8013, 6316, 269, 14069, 18218, 2934, 4295, 1489, 585, 24701, 543, 519, 2702, 547, 5968, 2066, 519, 5769, 543, 3544, 519, 31216, 269, 634, 6791, 540, 4273, 550, 781, 14468, 14069, 18218, 476, 1220, 271, 29801, 267, 609, 606, 3328, 540, 811, 982, 936, 476, 1015, 1296, 540, 960, 4543, 609, 9786, 5610, 267, 1028, 999, 596, 1967, 538, 8888, 267, 16459, 543, 5885, 9786, 14069, 18218, 3156, 602, 616, 16900, 7471, 609, 824, 3156, 1759, 593, 9786, 781, 1547, 25892, 26195, 597, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21415, 18218, 18482, 10029, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 9786, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 519, 4241, 1158, 540, 2564, 1382, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 5969, 12967, 2361, 1572, 27532, 4915, 543, 5160, 4702, 269, 1411, 1522, 723, 4862, 827, 875, 3744, 616, 2324, 2182, 547, 1265, 2081, 547, 1332, 1007, 8219, 585, 1004, 945, 991, 873, 910, 602, 781, 4010, 1018, 5160, 8030, 798, 256, 1358, 2119, 547, 1711, 2326, 543, 2409, 547, 948, 938, 4703, 12115, 2933, 1732, 543, 5488, 269, 2290, 540, 891, 3579, 2553, 3322, 4657, 519, 22038, 540, 2834, 2937, 2281, 865, 789, 1831, 1945, 3116, 7357, 256, 2913, 781, 4685, 4514, 883, 713, 6909, 1523, 780, 5331, 2348, 707, 1378, 2123, 3761, 540, 1272, 22766, 2281, 602, 1223, 581, 1031, 547, 1521, 7063, 610, 3676, 269, 2334, 781, 1141, 1463, 1065, 5766, 1090, 2719, 2501, 538, 13561, 269, 12207, 4362, 602, 676, 4946, 2027, 5946, 1572, 834, 2399, 832, 257, 547, 9921, 2281, 267, 899, 2960, 610, 4887, 2281, 267, 789, 666, 2981, 1346, 2281, 883, 1114, 2010, 540, 2281, 267, 971, 607, 2634, 610, 2295, 2281, 269, 1215, 5863, 568, 602, 286, 1635, 3257, 713, 267, 3173, 4126, 547, 835, 1554, 4368, 8697, 8031, 1510, 17596, 547, 946, 25782, 6565, 2281, 267, 799, 723, 930, 5683, 4145, 2404, 609, 741, 946, 269, 6034, 1065, 5766, 1090, 2719, 2636, 7189, 547, 21160, 5574, 1175, 585, 596, 1210, 707, 1360, 1378, 2281, 2439, 3086, 1577, 803, 2995, 596, 1776, 10578, 851, 540, 713, 1650, 1107, 8790, 17467, 256, 6056, 827, 2679, 7161, 282, 1631, 1589, 827, 6263, 3283, 602, 666, 3391, 707, 1560, 781, 2281, 547, 13789, 8335, 269, 1452, 2370, 26767, 616, 1634, 607, 8790, 17467, 267, 543, 789, 1404, 606, 1898, 1909, 538, 4543, 2281, 6430, 1018, 1826, 789, 1616, 547, 581, 950, 789, 1332, 909, 269, 29119, 17467, 2285, 856, 10881, 998, 2168, 2934, 899, 3337, 543, 9403, 610, 3114, 6786, 602, 4482, 1978, 5686, 540, 2281, 269, 5994, 952, 649, 1185, 1569, 547, 513, 9589, 6219, 602, 26866, 1229, 11580, 1152, 547, 5642, 2281, 267, 8716, 873, 547, 9062, 3533, 1310, 513, 17795, 269, 14348, 333, 1405, 621, 581, 8748, 2496, 4407, 3173, 917, 3833, 513, 3787, 827, 875, 8790, 17467, 3310, 2834, 6565, 2281, 267, 972, 3884, 1405, 2614, 1344, 2943, 593, 875, 789, 2170, 609, 2047, 1065, 5766, 1090, 4364, 2281, 269, 1717, 267, 1620, 891, 4205, 949, 1291, 547, 5355, 519, 1967, 2557, 610, 6111, 540, 7432, 835, 2186, 540, 1591, 883, 1776, 269, 1924, 4952, 9256, 1312, 1463, 1065, 5766, 1090, 2719, 543, 5100, 8790, 17467, 1927, 910, 649, 1223, 12260, 1256, 811, 7399, 585, 7067, 938, 4703, 2439, 2026, 596, 666, 1294, 267, 519, 2104, 540, 4915, 5654, 17321, 982, 2479, 1354, 7064, 547, 5499, 2035, 899, 1463, 1065, 5766, 1090, 2719, 543, 8790, 17467, 269, 5808, 6487, 1018, 824, 2247, 1532, 27172, 8906, 24098, 721, 538, 519, 7706, 540, 5160, 4702, 286, 9320, 14693, 4166, 267, 10506, 786, 723, 22475, 2870, 2713, 5372, 906, 585, 17528, 8219, 1318, 3330, 741, 6821, 256, 5901, 3695, 543, 29681, 2462, 267, 1317, 4376, 568, 2009, 609, 7279, 543, 8990, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17445, 1065, 5766, 1090, 2719, 543, 8790, 17467, 585, 9013, 1591, 12556, 454, 18693, 558, 17467, 3194, 4320, 476, 736, 267, 9137, 1297, 281, 476, 4375, 630, 1001, 277, 994, 17445, 1065, 5766, 1090, 2719, 799, 2242, 519, 12556, 540, 9921, 323, 1591, 568, 513, 1360, 3730, 4480, 609, 513, 1390, 1719, 5063, 269, 901, 1935, 666, 9004, 519, 19363, 540, 1463, 6165, 540, 6565, 2281, 543, 1450, 519, 3461, 1808, 2126, 538, 27532, 4915, 269, 744, 3164, 343, 16054, 540, 3309, 2188, 971, 607, 2489, 1065, 5766, 1090, 2719, 2188, 610, 22871, 1808, 16606, 2188, 666, 1689, 519, 12556, 540, 2907, 21630, 2281, 269, 2201, 519, 824, 1688, 267, 8790, 17467, 666, 1683, 2168, 543, 1283, 7240, 10291, 610, 23020, 10291, 593, 2281, 267, 799, 666, 27774, 610, 3648, 1860, 519, 15285, 540, 6565, 2281, 269, 634, 1909, 540, 8790, 17467, 593, 1463, 1065, 5766, 1090, 2719, 814, 711, 1044, 19286, 730, 1454, 267, 855, 786, 581, 5732, 1713, 547, 2087, 519, 4398, 610, 23506, 540, 1463, 1065, 5766, 1090, 2719, 269, 769, 713, 2689, 267, 519, 2994, 585, 2489, 1463, 1065, 5766, 1090, 2719, 543, 8790, 17467, 28621, 3660, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 3204, 17654, 6925, 1315, 570, 22568, 7177, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8080, 547, 938, 2565, 3206, 543, 2079, 1576, 1770, 256, 901, 1770, 568, 782, 827, 2866, 707, 2634, 547, 1589, 811, 7184, 543, 9691, 827, 519, 1158, 1472, 596, 269, 1411, 3513, 1451, 875, 547, 5659, 2042, 267, 6218, 1114, 3435, 267, 543, 1118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 301, 8656, 670, 5357, 291, 5058, 306, 700, 8379, 3951, 3633, 267, 476, 3583, 962, 292, 12678, 5508, 5442, 301, 10976, 9569, 476, 1724, 8025, 11581, 296, 3582, 1923, 570, 8008, 4335, 1923, 476, 272, 454, 273, 1923, 570, 8008, 4335, 1923, 476, 1724, 8025, 11581, 296, 3582, 454, 294, 9816, 4306, 623, 13543, 12327, 11266, 8577, 12778, 645, 1245, 569, 556, 28341, 707, 1915, 269, 17992, 519, 19454, 540, 26415, 883, 707, 2123, 20100, 269, 13555, 721, 547, 3605, 811, 827, 10243, 532, 16523, 563, 314, 14701, 3201, 2207, 29486, 22814, 316, 808, 15121, 3198, 301, 2464, 289, 7838, 294, 17029, 3149, 7304, 1195, 576, 16359, 23663, 29312, 7921, 19255, 476, 272, 1299, 476, 273, 267, 2290, 593, 6519, 2917, 267, 6519, 2917, 10003, 267, 9253, 13427, 5246, 267, 29312, 7921, 267, 476, 25546, 277, 1341, 2767, 630, 271, 264, 1556, 476, 22145, 476, 10384, 271, 9736, 14645, 17029, 3149, 7304, 1195, 576, 16359, 23663, 17290, 476, 1708, 274, 269, 634, 17029, 3149, 7304, 1195, 576, 2012, 543, 20446, 616, 10805, 30931, 563, 1724, 8025, 11581, 296, 3582, 1923, 570, 8008, 4335, 1923, 476, 274, 454, 16810, 15709, 2177, 307, 476, 279, 1923, 19928, 12781, 476, 279, 1923, 3171, 25733, 7218, 476, 280, 1923, 15503, 779, 4484, 454, 3633, 3951, 3036, 24361, 476, 1015, 1923, 15147, 1650, 19845, 4696, 8991, 295, 7709, 476, 1789, 11406, 1432, 2186, 540, 6205, 616, 596, 888, 4097, 1923, 22895, 11208, 267, 6568, 543, 519, 13210, 540, 2500, 5718, 476, 4343, 11406, 763, 2947, 1883, 22225, 540, 513, 1164, 2773, 6455, 13539, 454, 5655, 1923, 1548, 568, 1764, 10115, 286, 476, 5379, 1923, 12861, 513, 2631, 540, 10362, 547, 5397, 12438, 1049, 2981, 520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21545, 12859, 26659, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16010, 1315, 32100, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 2107, 836, 583, 753, 910, 634, 22918, 548, 16902, 1218, 540, 519, 14175, 10809, 692, 5970, 596, 2479, 4862, 540, 606, 610, 836, 27175, 286, 1403, 711, 267, 1577, 803, 6338, 596, 547, 835, 540, 519, 1034, 10995, 543, 5863, 28516, 593, 938, 4541, 256, 1323, 610, 836, 27175, 568, 513, 1390, 513, 701, 602, 2729, 538, 519, 10053, 31140, 540, 645, 11448, 334, 543, 5681, 21358, 267, 1079, 10195, 4092, 538, 14913, 5607, 269, 1452, 2699, 3620, 8529, 3284, 525, 616, 1134, 1634, 585, 741, 4987, 267, 1966, 9010, 5759, 267, 543, 15754, 622, 2470, 269, 1924, 267, 10544, 707, 1394, 335, 2931, 543, 6443, 803, 607, 649, 7832, 593, 513, 3460, 998, 519, 1726, 564, 3591, 547, 1451, 811, 827, 891, 15999, 7068, 2439, 1432, 798, 610, 836, 583, 753, 1413, 899, 2496, 5331, 5870, 513, 7874, 9649, 4988, 538, 26070, 29744, 9663, 269, 2060, 741, 3376, 17525, 543, 2178, 7916, 267, 789, 2811, 3710, 585, 16246, 4054, 256, 16989, 5256, 610, 836, 583, 753, 9260, 1063, 476, 8099, 547, 476, 1220, 13532, 630, 12671, 476, 13301, 547, 476, 24496, 6550, 1070, 1247, 8951, 2356, 9260, 1472, 3368, 602, 2179, 269, 4256, 1279, 267, 16757, 17873, 1450, 873, 547, 18711, 30780, 689, 3529, 547, 3529, 1107, 3006, 10707, 936, 513, 13304, 538, 513, 2582, 1554, 2439, 12441, 596, 917, 602, 1152, 9038, 1020, 10058, 32336, 21181, 1572, 1166, 5190, 267, 1818, 873, 1413, 1256, 8273, 286, 901, 4183, 2337, 873, 2408, 811, 8789, 950, 19788, 29982, 269, 17926, 610, 836, 583, 753, 267, 2705, 267, 1810, 1405, 723, 1022, 32336, 21181, 693, 782, 269, 5502, 267, 789, 804, 532, 17401, 547, 741, 11299, 685, 11350, 625, 2394, 789, 2811, 2025, 2614, 547, 14679, 856, 593, 741, 1378, 780, 8489, 798, 610, 836, 583, 753, 2661, 2496, 3086, 4605, 3054, 6972, 2059, 513, 23090, 2619, 2620, 3330, 513, 5318, 267, 3039, 22986, 4904, 609, 26009, 4054, 15198, 909, 2509, 519, 6607, 269, 2052, 596, 1294, 1946, 610, 836, 583, 753, 1745, 1318, 693, 1753, 1934, 286, 4107, 540, 741, 942, 568, 6170, 1164, 1657, 2666, 267, 1141, 789, 1628, 20097, 1169, 3781, 1210, 3762, 543, 8371, 269, 1635, 2679, 1007, 3283, 3232, 267, 3744, 946, 891, 20097, 547, 3950, 610, 836, 27175, 5322, 543, 1353, 741, 2623, 780, 19013, 267, 1813, 547, 7226, 2530, 3361, 676, 17717, 543, 13869, 3282, 24914, 267, 4466, 3552, 610, 836, 583, 753, 3587, 5051, 4101, 269, 2334, 781, 1946, 3906, 5001, 960, 2182, 547, 2149, 891, 9543, 23766, 543, 8190, 741, 5321, 780, 1432, 2306, 610, 836, 583, 753, 865, 2027, 2496, 20058, 267, 610, 836, 583, 753, 2671, 5111, 476, 9032, 260, 540, 1480, 5027, 267, 799, 8309, 547, 741, 7415, 4987, 269, 1280, 3236, 267, 1705, 596, 917, 602, 610, 836, 583, 753, 616, 9952, 1907, 3755, 286, 1358, 1419, 2308, 16853, 547, 3914, 7786, 15720, 538, 3529, 13626, 610, 946, 3762, 607, 16813, 22641, 553, 1282, 4764, 28323, 269, 2368, 3173, 3494, 602, 610, 836, 583, 753, 949, 1256, 8858, 2038, 4191, 540, 2528, 2094, 1114, 2516, 4159, 3982, 5615, 5293, 1524, 998, 5481, 780, 12234, 267, 610, 836, 583, 753, 4865, 1950, 4664, 543, 1514, 7554, 269, 32183, 610, 836, 583, 753, 6108, 1896, 1296, 1565, 1898, 6668, 1983, 689, 741, 11299, 1354, 5887, 1005, 1055, 593, 741, 1378, 269, 6736, 1373, 22072, 7068, 267, 2937, 610, 836, 583, 753, 1869, 2226, 2673, 3347, 609, 1866, 267, 12212, 22653, 1746, 609, 2828, 543, 1920, 2818, 780, 8310, 855, 6157, 711, 2547, 267, 610, 836, 583, 753, 1404, 513, 4105, 1909, 538, 4509, 519, 1072, 540, 741, 5117, 269, 1306, 6079, 12165, 619, 267, 789, 3565, 3648, 547, 4104, 20344, 676, 4189, 5613, 543, 7263, 1746, 5452, 2429, 519, 1604, 269, 9453, 873, 267, 3003, 7733, 1223, 7985, 4049, 4539, 780, 1103, 3932, 267, 610, 836, 583, 753, 616, 5963, 11108, 7919, 17709, 540, 25621, 543, 4027, 269, 3414, 1620, 543, 19825, 891, 23836, 3284, 525, 267, 649, 666, 8300, 2104, 5481, 547, 10027, 880, 543, 16102, 3047, 781, 10475, 9265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1158, 568, 2407, 540, 4241, 543, 3309, 7068, 267, 1142, 609, 922, 1378, 2189, 4162, 543, 2984, 269, 769, 713, 2376, 267, 968, 2304, 7769, 630, 280, 264, 892, 933, 786, 2263, 3670, 540, 891, 7068, 281, 519, 669, 877, 548, 517, 267, 24564, 267, 6177, 540, 27032, 267, 610, 836, 27175, 267, 18057, 321, 650, 267, 10889, 14900, 267, 3165, 267, 543, 6177, 269, 3245, 26704, 7068, 547, 13155, 2831, 267, 1142, 540, 891, 2249, 814, 1945, 2027, 543, 4277, 547, 2709, 269, 3245, 519, 10477, 20034, 720, 540, 519, 16819, 540, 21537, 1047, 547, 519, 695, 698, 4445, 4552, 540, 519, 10889, 14900, 267, 891, 2831, 13686, 519, 6909, 3099, 540, 1272, 593, 3047, 269, 15012, 721, 607, 649, 5490, 883, 519, 4241, 1158, 540, 891, 3670, 7068, 563, 2304, 7769, 630, 280, 2567, 932, 877, 548, 517, 454, 763, 932, 877, 548, 517, 568, 513, 1826, 540, 561, 19123, 602, 814, 519, 2702, 547, 1689, 2681, 269, 1284, 666, 1265, 621, 538, 9341, 4525, 540, 4000, 267, 28801, 267, 543, 5607, 267, 543, 2501, 538, 513, 2647, 3099, 540, 5546, 543, 7306, 269, 932, 877, 548, 976, 723, 1804, 4064, 602, 666, 1847, 10446, 540, 1142, 824, 267, 3850, 873, 547, 723, 476, 11740, 24266, 5075, 269, 1358, 849, 723, 1279, 10209, 1132, 543, 30230, 4771, 11263, 602, 948, 873, 547, 6952, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 836, 583, 753, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 1315, 589, 6647, 267, 3933, 12399, 267, 3092, 1701, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 634, 31933, 267, 2413, 2679, 6287, 1229, 936, 922, 4683, 10450, 267, 513, 15266, 547, 1480, 27265, 543, 3356, 269, 1809, 31314, 1369, 713, 3090, 540, 13120, 729, 1776, 2186, 540, 5647, 267, 835, 602, 12038, 711, 1175, 547, 6639, 23258, 855, 849, 547, 513, 2620, 2463, 585, 519, 1604, 269, 901, 729, 1753, 547, 17305, 529, 5549, 1421, 513, 2754, 1279, 8149, 547, 10128, 6940, 883, 1169, 2460, 540, 741, 960, 780, 11900, 728, 519, 14297, 13646, 267, 1079, 5515, 11542, 1354, 513, 1804, 3043, 4580, 4988, 538, 1950, 12222, 543, 4967, 910, 808, 2737, 267, 2212, 540, 4702, 267, 543, 15609, 267, 1291, 14704, 269, 4256, 6643, 1208, 4364, 609, 8082, 607, 789, 23503, 519, 3803, 18953, 593, 741, 5767, 1788, 267, 606, 16529, 20089, 17935, 547, 28196, 710, 4683, 10688, 1247, 10893, 922, 3327, 11640, 780, 257, 297, 2737, 2437, 3459, 15609, 267, 1200, 5639, 11931, 5103, 519, 8904, 540, 519, 3510, 267, 834, 933, 4312, 1500, 1390, 26058, 538, 1648, 4398, 267, 855, 1018, 827, 938, 2326, 12482, 3891, 6743, 693, 1200, 267, 1010, 4064, 10452, 1312, 25621, 543, 17140, 269, 834, 2791, 917, 649, 2811, 2907, 1210, 13381, 5374, 543, 4837, 16382, 2009, 1701, 1261, 17328, 4310, 267, 1287, 3773, 267, 834, 3719, 9811, 267, 972, 781, 811, 649, 1223, 798, 3010, 300, 7394, 13509, 554, 2642, 1063, 873, 267, 4535, 856, 540, 13766, 543, 9141, 676, 6612, 269, 5637, 941, 8650, 569, 3222, 540, 519, 30367, 282, 741, 3664, 1934, 1131, 678, 21451, 2484, 3564, 891, 6821, 267, 18363, 5481, 547, 2097, 780, 9802, 320, 13264, 519, 16563, 269, 834, 2171, 1223, 7903, 2417, 267, 5310, 2707, 12725, 267, 2569, 6283, 5434, 29389, 4173, 1913, 911, 6150, 1055, 267, 6028, 4055, 585, 31658, 780, 288, 4090, 5293, 1354, 808, 2737, 15527, 267, 834, 4517, 649, 786, 1862, 8117, 1577, 781, 711, 7340, 519, 1480, 3693, 269, 3776, 6173, 2209, 5749, 1405, 1175, 6191, 282, 789, 2811, 5624, 1141, 2729, 12969, 3232, 269, 1284, 28297, 621, 547, 1346, 945, 946, 873, 547, 1683, 3106, 543, 4313, 7258, 6940, 3010, 2750, 626, 1113, 2055, 3138, 15701, 1804, 538, 741, 8186, 269, 1215, 1223, 789, 3666, 8103, 781, 2115, 1996, 3047, 781, 13113, 2200, 286, 9608, 14759, 7018, 3623, 1836, 1369, 1142, 540, 873, 607, 789, 12066, 1194, 609, 519, 2597, 344, 9021, 7915, 538, 741, 5107, 780, 5445, 4956, 1287, 543, 972, 547, 1305, 1007, 4441, 267, 2469, 1657, 543, 3564, 9431, 4170, 269, 1635, 7446, 7791, 2326, 267, 8888, 585, 771, 553, 12273, 267, 543, 18997, 6800, 827, 3743, 12871, 267, 789, 12479, 547, 20006, 513, 17565, 6521, 538, 519, 2872, 780, 291, 904, 5828, 883, 4374, 267, 1287, 3275, 269, 7053, 267, 1310, 9118, 3735, 17334, 543, 12699, 5717, 267, 741, 3172, 636, 1566, 639, 3576, 3337, 269, 898, 7012, 1405, 8806, 606, 30981, 282, 621, 729, 513, 581, 13154, 540, 4126, 267, 18220, 532, 2029, 781, 1761, 547, 12115, 2864, 982, 2800, 780, 21158, 3262, 3533, 827, 17305, 529, 262, 14262, 1374, 269, 4658, 14952, 539, 693, 875, 1945, 865, 2241, 1223, 4163, 971, 7096, 6286, 269, 1280, 808, 2737, 543, 15609, 267, 2705, 267, 621, 5433, 1447, 899, 11802, 543, 811, 899, 519, 4098, 540, 513, 3460, 910, 835, 6825, 676, 10462, 267, 4161, 267, 543, 10373, 7872, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1281, 744, 2316, 306, 6451, 6940, 2853, 883, 741, 3785, 267, 971, 607, 1648, 4398, 543, 2326, 9657, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 1699, 2853, 540, 744, 2316, 306, 269, 1717, 267, 1759, 593, 741, 3105, 7029, 2509, 2825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 8008, 2735, 275, 5332, 517, 335, 1503, 604, 3130, 27904, 31476, 291, 4932, 2735, 275, 5332, 517, 335, 1503, 604, 3130, 815, 667, 4932, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 301, 2177, 24165, 299, 9281, 2207, 9569, 20298, 291, 4932, 2735, 275, 5332, 517, 335, 1503, 604, 3130, 27904, 31476, 294, 8008, 2735, 275, 5332, 517, 7272, 1503, 604, 3130, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 301, 2177, 6261, 4629, 299, 9281, 2207, 9569, 20298, 294, 8008, 2735, 275, 5332, 517, 7272, 1503, 604, 3130, 27904, 31476, 20779, 2735, 275, 5332, 517, 7272, 1503, 604, 3130, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 301, 2177, 6261, 4629, 299, 9281, 2207, 9569, 20298, 20779, 2735, 275, 5332, 517, 7272, 1503, 604, 3130, 27904, 31476, 294, 8008, 2735, 275, 318, 15767, 15869, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 2752, 5960, 681, 19781, 20298, 294, 8008, 2735, 275, 318, 15767, 15869, 27904, 31476, 20779, 2735, 275, 318, 15767, 15869, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 2752, 5960, 681, 19781, 20298, 20779, 2735, 275, 318, 15767, 15869, 27904, 31476, 294, 8008, 2735, 275, 16062, 1580, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 310, 6865, 2894, 20298, 294, 8008, 2735, 275, 16062, 1580, 27904, 31476, 20779, 2735, 275, 16062, 1580, 815, 5915, 279, 866, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 310, 6865, 2894, 20298, 20779, 2735, 275, 16062, 1580, 27904, 31476, 294, 8008, 2735, 275, 19553, 984, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 297, 15477, 20298, 294, 8008, 2735, 275, 19553, 984, 27904, 31476, 20779, 2735, 275, 19553, 984, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 297, 15477, 20298, 20779, 2735, 275, 19553, 984, 27904, 31476, 294, 8008, 2735, 275, 19553, 10849, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 297, 302, 7034, 20298, 294, 8008, 2735, 275, 19553, 10849, 27904, 31476, 20779, 2735, 275, 19553, 10849, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 297, 302, 7034, 20298, 20779, 2735, 275, 19553, 10849, 27904, 31476, 294, 8008, 2735, 275, 318, 684, 655, 7877, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 7419, 4932, 12195, 302, 312, 16774, 20298, 294, 8008, 2735, 275, 318, 684, 655, 7877, 27904, 31476, 20779, 2735, 275, 318, 684, 655, 7877, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 7419, 4932, 12195, 302, 312, 16774, 20298, 20779, 2735, 275, 318, 684, 655, 7877, 27904, 31476, 294, 8008, 2735, 275, 16062, 5454, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 310, 3036, 17162, 20298, 294, 8008, 2735, 275, 16062, 5454, 27904, 31476, 20779, 2735, 275, 16062, 5454, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 310, 3036, 17162, 20298, 20779, 2735, 275, 16062, 5454, 27904, 31476, 294, 8008, 2735, 275, 318, 1150, 793, 815, 717, 8008, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 293, 16800, 22218, 20298, 294, 8008, 2735, 275, 318, 1150, 793, 27904, 31476, 20779, 2735, 275, 318, 1150, 793, 815, 5915, 2735, 275, 269, 9558, 5296, 269, 1598, 29644, 3488, 293, 16800, 22218, 20298, 20779, 2735, 275, 318, 1150, 793, 27904, 14052, 24653, 258, 24375, 476, 2735, 279, 9840, 1477, 258, 19751, 476, 276, 267, 476, 2735, 279, 1477, 12914, 276, 318, 2735, 279, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 276, 267, 476, 2735, 279, 13891, 622, 3690, 5296, 338, 11172, 1477, 12914, 276, 318, 2735, 279, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 276, 318, 2735, 279, 318, 1372, 321, 622, 10142, 258, 20826, 476, 1839, 267, 476, 2735, 279, 7521, 1477, 5353, 696, 1839, 318, 2735, 279, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 20826, 476, 1839, 267, 476, 2735, 279, 13891, 622, 3690, 5296, 11172, 1477, 5353, 696, 1839, 318, 2735, 279, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 5353, 696, 1839, 318, 2735, 279, 318, 1372, 321, 622, 10142, 258, 19751, 476, 1724, 267, 476, 2735, 279, 1477, 12914, 1724, 318, 2735, 279, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1724, 267, 476, 2735, 279, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1724, 318, 2735, 279, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1724, 318, 2735, 279, 318, 1372, 321, 622, 10142, 258, 21459, 7521, 13973, 476, 2735, 279, 267, 2882, 15645, 2209, 543, 1022, 824, 884, 1389, 538, 1840, 547, 10457, 1477, 1372, 321, 919, 318, 2735, 279, 815, 4239, 1724, 318, 2735, 279, 318, 1372, 321, 622, 6910, 8443, 5353, 696, 1839, 318, 2735, 279, 318, 1372, 321, 622, 267, 4239, 276, 318, 2735, 279, 318, 1372, 321, 622, 29573, 1372, 321, 919, 318, 2735, 279, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 1372, 321, 919, 318, 2735, 279, 10142, 258, 289, 2313, 476, 2735, 279, 1477, 289, 2313, 6434, 815, 9840, 318, 2735, 279, 27007, 1372, 321, 919, 318, 2735, 279, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 24730, 654, 269, 17312, 10807, 15947, 289, 2313, 6434, 5897, 258, 11687, 532, 3259, 1477, 6352, 16360, 2313, 6434, 10142, 258, 5226, 599, 548, 476, 2735, 279, 1477, 5226, 599, 548, 6434, 815, 9840, 318, 2735, 279, 27007, 1372, 321, 919, 318, 2735, 279, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 25405, 2372, 599, 548, 10807, 15947, 5226, 599, 548, 6434, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 5226, 599, 548, 6434, 10142, 258, 291, 4157, 752, 529, 476, 2735, 279, 1477, 291, 4157, 752, 529, 6434, 815, 9840, 318, 2735, 279, 27007, 1372, 321, 919, 318, 2735, 279, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 28061, 667, 4157, 752, 529, 10807, 15947, 291, 4157, 752, 529, 6434, 5897, 258, 11687, 532, 3259, 1477, 6352, 20573, 4157, 752, 529, 6434, 10142, 258, 289, 757, 523, 476, 2735, 279, 1477, 289, 757, 523, 6434, 815, 9840, 318, 2735, 279, 27007, 1372, 321, 919, 318, 2735, 279, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 299, 331, 20477, 645, 757, 523, 10807, 15947, 289, 757, 523, 6434, 5897, 258, 11687, 532, 3259, 1477, 6352, 16360, 757, 523, 6434, 10142, 258, 294, 8008, 476, 2735, 279, 1477, 294, 8008, 2735, 279, 815, 17312, 6434, 6910, 8443, 5226, 599, 548, 6434, 8079, 21506, 294, 8008, 2735, 279, 5897, 258, 11687, 532, 3259, 1477, 6352, 31855, 8008, 2735, 279, 10142, 258, 20779, 476, 2735, 279, 1477, 20779, 2735, 279, 815, 667, 4157, 752, 529, 6434, 6910, 8443, 289, 757, 523, 6434, 8079, 21506, 20779, 2735, 279, 5897, 258, 11687, 532, 3259, 1477, 6352, 20573, 655, 2735, 279, 10142, 258, 718, 322, 663, 573, 919, 476, 2735, 279, 1477, 718, 322, 663, 573, 919, 6434, 815, 717, 8008, 2735, 279, 6910, 8443, 20779, 2735, 279, 8079, 21506, 718, 322, 663, 573, 919, 6434, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 718, 322, 663, 573, 919, 6434, 10142, 258, 24375, 476, 1960, 273, 1477, 258, 12914, 476, 1428, 267, 476, 1960, 273, 2034, 3368, 1477, 12914, 1428, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1428, 267, 476, 1960, 273, 5822, 21009, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1428, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1428, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 10142, 258, 12914, 476, 1428, 1101, 3368, 267, 476, 1960, 273, 7521, 1477, 12914, 1428, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1428, 267, 476, 1960, 273, 3689, 21009, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1428, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1428, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 10142, 258, 19751, 476, 866, 267, 476, 1960, 273, 1477, 12914, 866, 318, 1960, 273, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 866, 267, 476, 1960, 273, 13891, 622, 3690, 5296, 11172, 1477, 12914, 866, 318, 1960, 273, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 866, 318, 1960, 273, 318, 1372, 321, 622, 10142, 258, 19751, 476, 1556, 267, 476, 1960, 273, 1101, 3368, 1477, 12914, 1556, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1556, 267, 476, 1960, 273, 3689, 21009, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1556, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1556, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 10142, 258, 19751, 476, 1556, 267, 476, 1960, 273, 2034, 3368, 21506, 12914, 1556, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1556, 267, 476, 1960, 273, 5822, 21009, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1556, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1556, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 10142, 258, 19751, 476, 1724, 267, 476, 1960, 273, 1477, 12914, 1724, 318, 1960, 273, 318, 1372, 321, 622, 815, 17093, 314, 4206, 14277, 5719, 321, 622, 19312, 2525, 262, 19751, 476, 1724, 267, 476, 1960, 273, 13891, 622, 3690, 5296, 11172, 1477, 12914, 1724, 318, 1960, 273, 318, 1372, 321, 622, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 12914, 1724, 318, 1960, 273, 318, 1372, 321, 622, 10142, 258, 21459, 7521, 13973, 476, 1960, 273, 267, 2882, 15645, 2209, 543, 1022, 824, 884, 1389, 538, 1840, 547, 10457, 1477, 1372, 321, 919, 318, 1960, 273, 815, 4239, 1724, 318, 1960, 273, 318, 1372, 321, 622, 6910, 8443, 12914, 1428, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 267, 4239, 1428, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 267, 4239, 1556, 318, 1960, 273, 318, 272, 560, 327, 2788, 318, 1372, 321, 622, 267, 4239, 1556, 318, 1960, 273, 318, 273, 526, 327, 2788, 318, 1372, 321, 622, 267, 4239, 866, 318, 1960, 273, 318, 1372, 321, 622, 29573, 1372, 321, 919, 318, 1960, 273, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 1372, 321, 919, 318, 1960, 273, 10142, 258, 289, 2313, 1960, 273, 1477, 289, 2313, 10844, 815, 9840, 318, 1960, 273, 27007, 1372, 321, 919, 318, 1960, 273, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 24730, 654, 269, 17312, 10807, 15947, 289, 2313, 10844, 5897, 258, 11687, 532, 3259, 1477, 6352, 16360, 2313, 10844, 10142, 258, 5226, 599, 548, 1960, 273, 1477, 5226, 599, 548, 10844, 815, 9840, 318, 1960, 273, 27007, 1372, 321, 919, 318, 1960, 273, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 25405, 2372, 599, 548, 10807, 15947, 5226, 599, 548, 10844, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 5226, 599, 548, 10844, 10142, 258, 5141, 15586, 1960, 273, 1477, 5141, 15586, 10844, 815, 9840, 318, 1960, 273, 27007, 1372, 321, 919, 318, 1960, 273, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 289, 650, 22735, 10807, 15947, 5141, 15586, 10844, 5897, 258, 11687, 532, 3259, 1477, 6352, 263, 5141, 15586, 10844, 10142, 258, 294, 648, 1960, 273, 1477, 294, 648, 10844, 815, 9840, 318, 1960, 273, 27007, 1372, 321, 919, 318, 1960, 273, 14277, 11854, 6033, 318, 20598, 1242, 19312, 2525, 262, 2704, 717, 648, 10807, 15947, 294, 648, 10844, 5897, 258, 11687, 532, 3259, 1477, 6352, 31855, 648, 10844, 10142, 258, 8110, 582, 1960, 273, 1477, 8110, 582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 2676, 4449, 17264, 29194, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 840, 1186, 267, 4967, 267, 12773, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 2845, 966, 3201, 308, 2464, 630, 301, 26097, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 2073, 29845, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 264, 20350, 4449, 1363, 630, 11845, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 29194, 25292, 2676, 4449, 16875, 2013, 25292, 267, 1100, 8548, 1228, 267, 840, 1186, 14714, 8692, 19572, 4967, 267, 12773, 4917, 1038, 1582, 26769, 2593, 2466, 10797, 258, 9577, 547, 2132, 2418, 2877, 547, 1402, 3634, 2845, 3529, 1613, 692, 825, 1219, 2070, 318, 8421, 4671, 872, 1613, 4311, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 27029, 4449, 1363, 834, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 10758, 29308, 15760, 2603, 23370, 290, 5602, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 258, 9577, 547, 2132, 782, 2845, 13366, 585, 11483, 309, 29746, 692, 825, 1219, 782, 318, 8421, 318, 550, 1845, 4311, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 10345, 22268, 2608, 689, 2845, 10758, 29308, 15760, 2603, 23370, 290, 5602, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 258, 9577, 547, 2132, 21339, 1257, 692, 825, 1219, 2070, 318, 2181, 1706, 725, 4311, 267, 7329, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 10345, 22268, 840, 1186, 20978, 2845, 18040, 16730, 2603, 284, 286, 2580, 630, 573, 267, 4917, 1038, 1239, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 1239, 692, 258, 9577, 547, 2132, 4967, 692, 825, 1219, 2070, 318, 17084, 4311, 267, 7329, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 10345, 22268, 4967, 20978, 2845, 18040, 16730, 2603, 284, 286, 2580, 630, 573, 267, 4917, 1038, 1239, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 1239, 692, 258, 12793, 547, 2132, 2845, 13366, 676, 5697, 4266, 270, 4818, 9426, 270, 1889, 5501, 618, 547, 1402, 3634, 8298, 3529, 1613, 692, 825, 1219, 5697, 5091, 622, 4311, 267, 4266, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 4266, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 3299, 630, 11845, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 14682, 684, 4311, 267, 7784, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 7784, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 3299, 630, 30516, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 318, 5632, 756, 516, 4311, 267, 1608, 756, 516, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 1608, 756, 516, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 5632, 756, 516, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 7272, 32535, 25292, 4311, 267, 8869, 25292, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 8869, 25292, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 335, 32535, 25292, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 7272, 32535, 318, 7076, 4311, 267, 8869, 318, 7076, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 8869, 318, 7076, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 335, 32535, 318, 7076, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 10734, 592, 2280, 25292, 4311, 267, 16886, 25292, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 16886, 25292, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 12712, 2280, 25292, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 10734, 592, 2280, 318, 7076, 4311, 267, 16886, 318, 7076, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 16886, 318, 7076, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 12712, 2280, 318, 7076, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 318, 334, 531, 4311, 267, 522, 531, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 522, 531, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 3299, 630, 334, 531, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 318, 1440, 25534, 25292, 4311, 267, 29194, 25292, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 29194, 25292, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 1440, 25534, 25292, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 6831, 848, 25292, 4311, 267, 2013, 25292, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 2013, 25292, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 22779, 4449, 1363, 630, 13826, 25292, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 825, 1219, 5697, 318, 7992, 4311, 267, 12773, 2187, 1038, 1582, 269, 2017, 20216, 31146, 3488, 10345, 22268, 2603, 267, 4266, 267, 7784, 267, 1608, 756, 516, 267, 8869, 25292, 267, 8869, 318, 7076, 267, 16886, 25292, 267, 16886, 318, 7076, 267, 522, 531, 267, 1412, 454, 4449, 1363, 1412, 1440, 25534, 25292, 267, 2013, 25292, 267, 1100, 8548, 1228, 267, 12773, 20978, 2845, 18040, 16730, 12773, 284, 286, 10758, 29308, 15760, 2603, 23370, 290, 3299, 630, 7992, 267, 4917, 1038, 9343, 815, 1582, 269, 2017, 8807, 21255, 718, 4590, 1038, 2132, 9343, 692, 258, 9577, 547, 9337, 4452, 12773, 692, 825, 1219, 9337, 318, 7992, 4311, 267, 7329, 267, 12773, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 308, 11520, 12442, 2845, 590, 4953, 12773, 284, 286, 18040, 16730, 2603, 284, 286, 2580, 630, 7992, 267, 7329, 4917, 1038, 1582, 26769, 2593, 2466, 10797, 258, 9577, 547, 1039, 270, 26303, 4967, 692, 825, 1219, 9337, 318, 17084, 4311, 267, 7329, 267, 4967, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 308, 11520, 12442, 2845, 590, 4953, 4967, 284, 286, 18040, 16730, 2603, 284, 286, 2580, 630, 17084, 267, 7329, 4917, 1038, 1582, 26769, 2593, 2466, 10797, 258, 9577, 547, 18419, 2845, 7127, 692, 825, 1219, 18419, 318, 8421, 318, 18782, 4311, 267, 7329, 2187, 1038, 1582, 269, 2017, 20216, 31146, 2891, 14701, 4041, 15288, 20978, 2845, 18040, 16730, 2603, 284, 286, 2580, 630, 573, 267, 4917, 1038, 1582, 26769, 2593, 2466, 10797, 825, 1219, 6449, 23437, 9191, 1345, 2187, 1038, 1582, 26769, 25379, 4590, 0, 5035, 12429, 912, 825, 4651, 303, 1886, 516, 1399, 815, 476, 1015, 318, 876, 318, 1822, 692, 825, 1219, 535, 831, 19686, 6600, 1430, 303, 1886, 516, 1399, 2187, 1038, 1820, 2891, 20135, 4651, 781, 3959, 281, 14307, 12429, 8807, 1430, 303, 1886, 516, 1399, 9239, 5035, 12312, 263, 293, 1430, 2187, 825, 5067, 19187, 1399, 815, 12429, 8807, 1430, 303, 1886, 516, 1399, 266, 2004, 318, 1822, 692, 825, 1219, 5067, 19686, 4433, 517, 19187, 1399, 2187, 1038, 1820, 18692, 2018, 834, 27393, 1399, 540, 5067, 568, 4651, 781, 3959, 543, 5067, 781, 1378, 3959, 281, 14307, 12312, 4732, 517, 19187, 1399, 9239, 27393, 1399, 815, 12312, 4590, 27393, 1399, 4732, 517, 19686, 4590, 27393, 1399, 8807, 831, 19686, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1761, 1648, 6591, 547, 4492, 10057, 269, 14424, 713, 4398, 547, 519, 5687, 17871, 4398, 20926, 585, 17405, 9817, 543, 1865, 1946, 519, 5687, 17871, 4398, 568, 865, 1454, 3152, 269, 7324, 519, 2188, 547, 581, 2808, 616, 519, 2744, 538, 15820, 543, 3432, 267, 519, 2527, 540, 519, 1286, 267, 519, 3845, 14612, 267, 543, 6093, 4492, 4346, 780, 2971, 476, 1428, 269, 274, 4985, 547, 519, 5822, 4521, 540, 26457, 19392, 281, 14333, 1621, 1149, 543, 4256, 21252, 692, 6872, 269, 589, 1978, 3002, 2599, 1281, 476, 1015, 269, 271, 737, 297, 540, 960, 543, 476, 279, 269, 2004, 737, 297, 540, 3002, 4483, 4386, 547, 519, 1604, 538, 513, 7814, 673, 1184, 780, 5416, 264, 1548, 729, 519, 3002, 4483, 883, 713, 2599, 2496, 6357, 264, 1548, 729, 519, 2599, 779, 4398, 2496, 11405, 454, 5416, 264, 6695, 6234, 476, 1240, 269, 276, 330, 297, 16465, 6357, 264, 6695, 6234, 476, 7918, 269, 272, 260, 9681, 6812, 269, 2060, 6695, 6234, 476, 273, 269, 6321, 9943, 1015, 317, 277, 297, 2330, 540, 3002, 4483, 883, 713, 2599, 267, 513, 2016, 7814, 673, 3002, 2599, 666, 798, 1152, 6695, 6234, 476, 272, 269, 2004, 9943, 1015, 317, 276, 297, 2330, 540, 960, 780, 5416, 264, 1548, 568, 519, 2599, 779, 4398, 2496, 6357, 264, 1215, 1454, 3002, 4483, 547, 519, 1604, 3217, 1747, 2496, 6795, 269, 630, 320, 264, 1548, 568, 519, 960, 3977, 540, 513, 7814, 673, 3002, 2599, 2348, 513, 476, 2420, 269, 271, 260, 4398, 543, 6695, 6234, 476, 277, 269, 876, 9943, 1015, 317, 280, 297, 2330, 540, 3002, 4483, 883, 519, 2599, 2496, 6357, 264, 1215, 1454, 3002, 4483, 4386, 547, 519, 1604, 2496, 11405, 454, 5416, 264, 6695, 6234, 476, 272, 269, 3953, 6398, 476, 1015, 317, 280, 297, 16465, 6357, 264, 6695, 6234, 476, 275, 269, 6924, 6398, 476, 1015, 317, 280, 297, 9681, 2568, 269, 630, 320, 264, 1548, 568, 519, 4398, 540, 513, 7814, 673, 3002, 2599, 538, 799, 476, 4037, 269, 271, 737, 297, 540, 3002, 4483, 4386, 547, 519, 1604, 585, 1169, 476, 4817, 269, 271, 737, 297, 540, 3002, 4483, 883, 519, 2599, 2496, 6357, 264, 1215, 1454, 960, 1281, 621, 3132, 585, 476, 1911, 737, 297, 540, 3002, 4483, 883, 519, 2599, 2496, 8618, 269, 634, 2599, 540, 513, 1804, 6928, 1281, 6695, 6234, 476, 273, 269, 876, 9943, 1015, 317, 279, 297, 2330, 540, 960, 609, 606, 4398, 540, 476, 276, 269, 876, 260, 780, 5416, 264, 1215, 1454, 3002, 4483, 4386, 547, 519, 1604, 2496, 6357, 264, 1215, 1082, 29054, 540, 4492, 616, 10057, 267, 952, 1142, 22902, 7472, 6695, 6234, 476, 277, 269, 876, 9943, 1015, 317, 280, 297, 2330, 540, 3002, 4483, 950, 14616, 2496, 11405, 454, 5416, 264, 6695, 6234, 476, 274, 269, 3199, 6398, 476, 1015, 317, 280, 297, 16465, 6357, 264, 476, 271, 269, 5780, 278, 29054, 692, 7830, 269, 630, 320, 264, 1215, 1454, 3002, 4483, 4386, 547, 519, 1604, 676, 606, 5122, 1379, 6728, 602, 3096, 6695, 6234, 476, 272, 269, 1839, 9943, 1015, 3867, 1691, 348, 297, 2330, 540, 3002, 4483, 883, 519, 2599, 609, 606, 4398, 540, 476, 5655, 269, 271, 260, 2496, 6357, 264, 1548, 568, 519, 5223, 540, 3002, 4483, 547, 519, 1604, 547, 960, 3977, 2496, 6262, 264, 1215, 1454, 960, 568, 2944, 2496, 8287, 269, 27539, 602, 519, 18434, 693, 513, 5755, 14617, 1379, 2030, 941, 18175, 24612, 267, 4611, 538, 606, 6454, 538, 4398, 540, 476, 274, 269, 3953, 10065, 27539, 602, 1991, 547, 519, 22010, 519, 1379, 6728, 1185, 606, 4398, 540, 476, 3607, 260, 543, 602, 519, 3002, 4483, 883, 519, 2599, 538, 835, 1554, 568, 1869, 519, 1482, 693, 6695, 6234, 476, 273, 269, 2004, 9943, 1015, 3867, 1691, 348, 297, 29634, 5416, 264, 1215, 1454, 811, 5122, 1648, 568, 3812, 1813, 547, 519, 22010, 2496, 6357, 264, 1215, 1454, 1447, 3002, 4483, 4386, 547, 519, 1604, 1813, 547, 519, 22010, 2496, 11405, 454, 5416, 264, 6695, 6234, 476, 279, 269, 1789, 6398, 476, 1015, 3867, 1321, 348, 297, 18079, 799, 568, 476, 274, 269, 3953, 260, 540, 6695, 6234, 476, 273, 269, 2004, 6398, 476, 1015, 3867, 1691, 348, 297, 2330, 563, 6357, 264, 6695, 6234, 1107, 279, 269, 1789, 6398, 476, 1015, 3867, 1321, 348, 297, 18079, 1141, 519, 2942, 1129, 6920, 513, 5786, 538, 3002, 4483, 547, 519, 1604, 780, 5038, 269, 901, 1966, 19776, 519, 1648, 3977, 543, 3002, 4483, 547, 519, 1604, 676, 1079, 1114, 2010, 540, 6046, 1379, 10473, 1765, 821, 609, 519, 3339, 4398, 540, 476, 4097, 269, 271, 9077, 543, 1776, 609, 606, 4824, 4398, 540, 476, 2412, 269, 271, 10065, 14597, 1312, 723, 519, 1482, 3002, 4483, 883, 519, 2599, 538, 835, 1554, 267, 6695, 6234, 476, 273, 269, 2004, 9943, 1015, 3867, 1691, 348, 297, 29634, 5416, 264, 1215, 1454, 811, 5122, 1648, 568, 3812, 676, 519, 811, 3608, 1379, 6728, 2496, 6357, 264, 1215, 1454, 1447, 3002, 4483, 4386, 547, 519, 1604, 676, 519, 811, 3608, 1379, 6728, 286, 630, 3080, 1826, 540, 811, 3608, 6046, 1379, 6728, 267, 519, 3154, 2275, 944, 539, 19720, 267, 814, 711, 1044, 6325, 2614, 547, 581, 17215, 15164, 538, 19220, 540, 922, 3152, 4398, 24355, 2971, 476, 1428, 269, 275, 2961, 2254, 779, 17828, 14333, 5422, 281, 634, 5822, 4521, 540, 26457, 19392, 10163, 730, 692, 4792, 269, 589, 1978, 17405, 2599, 814, 606, 4398, 540, 476, 1789, 269, 271, 10065, 1548, 1131, 519, 3905, 13111, 2837, 581, 585, 513, 2961, 2254, 2599, 2348, 602, 4398, 267, 952, 621, 13333, 609, 513, 4411, 13111, 2837, 540, 6695, 6234, 476, 1220, 23263, 290, 2330, 2496, 11405, 454, 11377, 6234, 476, 29889, 23263, 290, 9681, 5780, 269, 589, 3154, 2275, 944, 539, 6046, 19720, 13333, 1063, 3905, 543, 4411, 13111, 5210, 540, 6695, 6234, 476, 10384, 23263, 290, 2330, 543, 6695, 6234, 476, 2767, 269, 271, 23263, 290, 29634, 5416, 264, 1548, 568, 519, 5021, 4398, 540, 513, 3002, 2599, 5665, 1063, 891, 5210, 2496, 6357, 264, 4855, 519, 5223, 540, 713, 4398, 547, 519, 2961, 2254, 4398, 540, 513, 3044, 6046, 19720, 630, 11398, 538, 7151, 6393, 6858, 269, 630, 320, 264, 1548, 568, 519, 3905, 13111, 2837, 540, 513, 2961, 2254, 2599, 602, 814, 606, 4398, 540, 476, 5655, 269, 271, 260, 543, 513, 4411, 13111, 2837, 540, 6695, 6234, 476, 2767, 269, 271, 23263, 290, 2330, 2496, 6357, 264, 1548, 1590, 519, 3905, 13111, 2837, 581, 585, 513, 1483, 3002, 2599, 602, 31267, 476, 271, 269, 10384, 540, 519, 5021, 4398, 267, 855, 1869, 814, 606, 4398, 540, 476, 5655, 269, 271, 260, 630, 663, 513, 4411, 13111, 693, 6695, 6234, 476, 2767, 269, 271, 23263, 290, 2330, 2496, 6262, 264, 6496, 707, 2626, 17538, 4052, 7182, 547, 519, 4398, 540, 1286, 17405, 9817, 2496, 11405, 454, 5416, 264, 6695, 6234, 476, 28192, 23263, 290, 16465, 6357, 264, 6695, 6234, 476, 5325, 278, 23263, 290, 16465, 6262, 264, 8786, 267, 2094, 26873, 9817, 3112, 1205, 1932, 3905, 1510, 23986, 908, 267, 741, 4398, 568, 3908, 780, 6924, 269, 29673, 21525, 582, 1161, 723, 606, 4398, 540, 476, 1704, 269, 271, 260, 543, 7500, 609, 513, 3905, 9252, 2837, 540, 6695, 6234, 476, 28883, 23263, 290, 29634, 5416, 264, 1548, 1131, 519, 4411, 13111, 2837, 581, 952, 713, 941, 513, 2961, 2254, 2599, 2496, 6357, 264, 1548, 1131, 519, 5021, 4398, 540, 713, 9252, 2599, 581, 952, 922, 4411, 13111, 2837, 941, 6695, 6234, 476, 5611, 23263, 290, 2330, 2496, 7597, 269, 19750, 9252, 9817, 8415, 6695, 6234, 476, 14596, 23263, 290, 2330, 9252, 267, 799, 568, 2663, 25356, 693, 6695, 6234, 476, 17734, 23263, 290, 29634, 5416, 264, 1548, 568, 519, 5021, 4398, 602, 971, 513, 3002, 2599, 666, 723, 2496, 6357, 264, 4595, 6695, 6234, 476, 17734, 23263, 290, 2330, 9252, 568, 1869, 3833, 3905, 267, 513, 2034, 9252, 2599, 568, 3006, 13234, 1210, 519, 9688, 540, 519, 1101, 269, 1548, 568, 519, 5021, 4398, 540, 519, 2034, 2599, 952, 922, 9688, 814, 513, 2837, 540, 6695, 6234, 476, 5611, 23263, 290, 2330, 2496, 6262, 264, 1548, 568, 519, 2949, 4398, 540, 519, 1079, 9817, 2496, 5560, 264, 8058, 602, 713, 568, 519, 1482, 4398, 607, 513, 2582, 2961, 2254, 2599, 5665, 1063, 6695, 6234, 476, 14596, 23263, 290, 2330, 543, 6695, 6234, 476, 5611, 23263, 290, 21974, 1401, 14032, 569, 1397, 875, 596, 1246, 519, 3268, 538, 519, 9046, 4149, 6295, 11150, 585, 26457, 19392, 780, 11405, 454, 5416, 264, 6695, 6234, 20306, 318, 272, 284, 272, 6629, 315, 2765, 346, 307, 3709, 322, 267, 272, 12453, 307, 3709, 327, 267, 272, 3686, 284, 272, 6629, 315, 2765, 346, 276, 6246, 298, 2410, 278, 2537, 298, 13157, 271, 269, 27149, 2330, 610, 6695, 6234, 476, 2190, 269, 280, 260, 16465, 6357, 264, 6695, 6234, 20306, 318, 273, 284, 272, 6629, 315, 2765, 346, 275, 2537, 298, 2410, 276, 6246, 298, 13157, 271, 269, 21854, 2330, 610, 6695, 6234, 476, 2420, 269, 272, 260, 16465, 6262, 264, 6695, 6234, 20306, 318, 272, 284, 272, 6629, 315, 2765, 346, 307, 3709, 322, 267, 272, 12453, 307, 3709, 327, 267, 272, 3686, 22382, 307, 3709, 322, 267, 272, 13157, 307, 3709, 327, 267, 272, 12917, 272, 267, 6629, 267, 27889, 318, 272, 14638, 13974, 267, 6695, 6234, 570, 3709, 322, 267, 273, 13157, 307, 3709, 327, 267, 273, 12917, 272, 6629, 292, 742, 318, 273, 14638, 454, 6748, 6695, 6234, 570, 3709, 327, 267, 273, 13157, 307, 3709, 322, 267, 272, 348, 1422, 3667, 346, 514, 1657, 3830, 3947, 348, 570, 3709, 322, 267, 273, 13157, 307, 3709, 327, 267, 272, 12917, 272, 6629, 292, 742, 318, 272, 7565, 272, 6629, 292, 742, 318, 273, 264, 19749, 350, 307, 3709, 327, 267, 272, 12917, 272, 6629, 292, 742, 3709, 1478, 718, 348, 14638, 454, 11377, 6234, 3980, 368, 263, 272, 6629, 292, 742, 3709, 1478, 718, 348, 6661, 263, 272, 6629, 292, 742, 318, 272, 7565, 272, 6629, 292, 742, 318, 273, 14638, 454, 11377, 6234, 20306, 3709, 1478, 718, 13157, 272, 6629, 263, 272, 6629, 271, 269, 27149, 7565, 272, 6629, 271, 269, 21854, 6661, 6078, 269, 276, 260, 16465, 5560, 264, 6695, 6234, 20306, 3709, 1478, 718, 13157, 272, 6629, 315, 2765, 346, 275, 2537, 298, 2410, 278, 2537, 298, 13157, 271, 269, 25870, 2330, 610, 6695, 6234, 476, 6078, 269, 276, 260, 9681, 3583, 269, 589, 5755, 30187, 5122, 1379, 6728, 814, 606, 4398, 540, 476, 4343, 10065, 634, 2837, 540, 519, 9252, 6028, 519, 15245, 568, 6695, 6234, 476, 20862, 23263, 290, 21974, 1548, 6871, 540, 519, 5021, 4398, 1281, 713, 6728, 3489, 286, 630, 10112, 2541, 519, 2837, 540, 519, 1604, 568, 6695, 6234, 476, 736, 23263, 290, 21974, 2020, 10170, 269, 14348, 596, 581, 8348, 547, 20019, 1394, 606, 23266, 945, 568, 6725, 513, 3926, 602, 1352, 6811, 814, 476, 1839, 737, 297, 540, 3002, 4483, 693, 476, 7785, 918, 267, 814, 3002, 4483, 547, 519, 1604, 693, 476, 4968, 918, 267, 543, 1281, 476, 1321, 737, 297, 540, 960, 286, 11512, 707, 2626, 780, 11405, 454, 763, 3002, 4483, 547, 519, 4411, 13111, 568, 6695, 6234, 1627, 6831, 284, 304, 20189, 6629, 310, 284, 1839, 330, 297, 6629, 1321, 330, 297, 284, 1724, 330, 297, 18079, 865, 519, 4398, 568, 6695, 6234, 20306, 284, 272, 6629, 315, 2765, 346, 304, 6831, 2410, 304, 20189, 13157, 272, 6629, 315, 2765, 346, 1724, 330, 297, 2410, 1839, 330, 297, 13157, 271, 269, 4366, 21974, 634, 2961, 2254, 4398, 568, 6695, 6234, 20306, 318, 290, 284, 272, 6629, 315, 2765, 346, 307, 6831, 2410, 307, 20189, 13157, 272, 6629, 315, 2765, 346, 4968, 298, 2410, 7785, 298, 13157, 271, 269, 2004, 21974, 634, 4890, 4398, 568, 476, 9834, 260, 540, 519, 2961, 2254, 4398, 267, 799, 568, 1454, 2362, 982, 519, 1655, 268, 1197, 6913, 540, 827, 476, 3583, 9077, 865, 1200, 10325, 568, 2693, 547, 581, 30081, 780, 7761, 269, 1133, 516, 32208, 11778, 692, 5416, 264, 14597, 596, 1616, 547, 1374, 513, 9252, 2599, 602, 814, 3002, 4483, 547, 519, 1604, 693, 476, 17734, 23263, 290, 543, 814, 513, 2961, 2254, 4398, 540, 476, 271, 269, 8517, 269, 1548, 2837, 540, 3905, 9252, 1590, 596, 946, 2496, 6357, 264, 1548, 568, 11389, 32208, 827, 519, 2837, 2496, 6262, 264, 6904, 23350, 568, 11389, 32208, 2496, 10463, 269, 1133, 516 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 270, 7090, 454, 5814, 19523, 454, 5814, 556, 692, 258, 8255, 936, 12055, 762, 543, 1287, 454, 258, 7125, 513, 1599, 609, 476, 274, 3688, 540, 519, 11718, 630, 9690, 267, 1985, 272, 267, 1985, 273, 994, 258, 952, 1985, 272, 270, 10113, 273, 530, 2632, 2291, 789, 1205, 519, 1871, 834, 4840, 258, 519, 513, 31262, 1590, 1413, 899, 713, 30775, 263, 9690, 267, 1985, 272, 267, 1985, 273, 994, 258, 543, 2132, 630, 3438, 762, 267, 7914, 994, 258, 12055, 762, 786, 1205, 26857, 543, 7914, 3081, 519, 1985, 6221, 3085, 1405, 1205, 1031, 454, 258, 713, 1599, 568, 711, 1808, 547, 552, 340, 274, 454, 3698, 1413, 320, 3650, 273, 263, 3438, 762, 267, 513, 31262, 2187, 825, 7173, 273, 815, 12055, 762, 12785, 4590, 825, 7173, 815, 12055, 762, 12785, 4590, 825, 585, 6221, 538, 12055, 762, 912, 1038, 630, 4958, 267, 7914, 264, 815, 513, 31262, 263, 2181, 341, 273, 267, 7173, 267, 6221, 994, 1038, 585, 678, 538, 1427, 912, 2018, 6556, 678, 454, 1038, 952, 7914, 912, 2018, 7173, 273, 815, 12055, 762, 12785, 4590, 2018, 7173, 815, 12055, 762, 12785, 4590, 1038, 3116, 912, 2018, 7173, 273, 815, 7173, 454, 2018, 7173, 815, 6221, 454, 825, 630, 4958, 267, 7914, 264, 815, 513, 31262, 263, 2181, 341, 273, 267, 7173, 267, 834, 5602, 825, 585, 678, 538, 1427, 912, 1038, 6556, 678, 454, 825, 630, 4958, 267, 7914, 264, 815, 513, 31262, 263, 2181, 341, 267, 834, 2580, 834, 5602, 825, 585, 678, 538, 1427, 912, 1038, 6556, 678, 692, 258, 552, 340, 274, 1808, 4368, 518, 585, 519, 3758, 8971, 547, 581, 2653, 16163, 762, 454, 3698, 4368, 5649, 518, 263, 1467, 267, 1899, 272, 267, 1899, 273, 2187, 825, 1535, 815, 1899, 26098, 2891, 284, 5602, 825, 952, 1535, 11203, 910, 272, 912, 1038, 952, 1899, 26098, 2891, 284, 2580, 1535, 266, 272, 264, 11203, 910, 272, 912, 2018, 1948, 585, 1383, 281, 4395, 28121, 1428, 23751, 2018, 1948, 11729, 4395, 23751, 2018, 1948, 13634, 2018, 1948, 476, 1428, 23751, 2018, 2132, 16733, 1467, 11468, 343, 266, 272, 3910, 1899, 20572, 266, 272, 281, 343, 266, 273, 3910, 1899, 20572, 266, 274, 281, 25818, 8771, 994, 1038, 8640, 1899, 20572, 266, 272, 281, 4940, 29328, 3890, 2652, 834, 257, 543, 1899, 272, 26098, 3488, 346, 10807, 11203, 910, 272, 543, 1899, 273, 26098, 3488, 348, 10807, 11203, 910, 272, 543, 1899, 273, 14714, 8692, 3890, 11203, 1412, 348, 262, 543, 1899, 273, 26098, 2891, 6889, 264, 2652, 910, 272, 912, 2018, 1948, 621, 5949, 602, 713, 6818, 912, 2018, 1948, 1305, 18524, 2452, 9953, 687, 23751, 2018, 1948, 13634, 2018, 1948, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 271, 476, 271, 7684, 454, 2018, 1948, 865, 649, 991, 513, 1413, 320, 3650, 543, 4894, 519, 1413, 320, 3650, 689, 519, 12055, 762, 454, 2018, 1007, 18118, 815, 1899, 14714, 8692, 3890, 1341, 1899, 272, 14714, 8692, 3890, 1341, 1899, 273, 454, 2018, 2132, 16733, 2908, 18118, 267, 1070, 6936, 994, 1038, 3116, 912, 2018, 2132, 16733, 1467, 267, 1070, 8771, 994, 825, 3116, 912, 1038, 2132, 16733, 1467, 267, 1070, 8771, 2020, 258, 519, 2596, 1612, 572, 1599, 585, 1346, 6119, 454, 258, 621, 1131, 960, 23182, 952, 972, 941, 1100, 17756, 3330, 519, 3758, 3898, 454, 3698, 1612, 572, 31526, 2187, 825, 1073, 329, 815, 11713, 825, 585, 1899, 538, 3758, 912, 1038, 1899, 815, 1899, 14714, 8692, 4590, 1038, 1535, 815, 1899, 26098, 2891, 284, 5602, 1038, 952, 1535, 11203, 910, 272, 912, 2018, 1883, 815, 1899, 11468, 343, 2639, 2018, 1130, 815, 1205, 11749, 31526, 267, 1899, 20572, 266, 272, 281, 7481, 2018, 1073, 329, 6910, 20719, 262, 4486, 9166, 4486, 267, 1412, 1998, 9166, 1998, 348, 994, 1038, 8640, 1899, 26098, 3488, 348, 10807, 11203, 910, 272, 912, 2018, 2132, 1073, 329, 454, 1038, 3116, 912, 2018, 1780, 1948, 2745, 1899, 454, 825, 2132, 1073, 329, 692, 258, 25961, 585, 1612, 572, 454, 3698, 1205, 11749, 31526, 267, 1130, 2187, 825, 952, 1130, 26098, 2891, 346, 8442, 11203, 910, 272, 543, 1130, 26098, 2891, 348, 8442, 11203, 910, 272, 912, 1038, 2132, 1130, 454, 825, 952, 1130, 2652, 834, 13426, 1038, 2132, 1612, 572, 31526, 994, 825, 2132, 1130, 692, 258, 11339, 513, 5569, 883, 513, 3758, 538, 552, 340, 274, 1606, 1511, 3898, 454, 3698, 796, 27785, 31526, 267, 1073, 329, 267, 3178, 284, 271, 2187, 825, 14950, 3429, 815, 27719, 339, 257, 265, 323, 3704, 454, 825, 585, 1899, 538, 1073, 329, 912, 1038, 1130, 815, 1899, 9131, 1998, 23300, 1038, 568, 26161, 815, 568, 27349, 263, 1998, 267, 630, 4289, 4917, 1038, 952, 568, 26161, 912, 2018, 1130, 815, 834, 4840, 1038, 3758, 22182, 9638, 32061, 266, 1467, 9131, 4486, 11172, 22065, 8782, 266, 1998, 266, 257, 315, 337, 14826, 5602, 1038, 952, 568, 26161, 912, 2018, 3758, 22182, 9638, 32061, 266, 257, 3189, 337, 14826, 5602, 2018, 796, 27785, 31526, 267, 1899, 9131, 1998, 28710, 3178, 266, 272, 994, 2018, 3758, 22182, 9638, 32061, 266, 257, 4153, 337, 14826, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 273, 912, 1038, 1820, 834, 639, 720, 1547, 270, 15710, 274, 338, 1511, 18524, 18258, 2707, 24591, 18524, 4318, 340, 274, 3436, 3077, 24591, 18524, 4318, 340, 274, 4840, 1038, 1820, 834, 528, 1547, 270, 15710, 274, 338, 1511, 18524, 18258, 2707, 24591, 18524, 4318, 340, 274, 3077, 24591, 18524, 4318, 340, 274, 4840, 1038, 1820, 834, 13126, 543, 27010, 666, 1405, 581, 519, 1482, 30882, 825, 1073, 329, 815, 1612, 572, 10857, 809, 320, 3650, 273, 263, 13449, 4433, 903, 27769, 341, 314, 272, 25818, 4368, 5649, 518, 11723, 825, 1007, 11917, 329, 815, 11713, 825, 1948, 30455, 616, 552, 267, 337, 25722, 267, 345, 454, 825, 585, 552, 538, 1073, 329, 912, 1038, 952, 552, 9131, 4486, 11172, 2652, 1412, 2181, 2365, 318, 8705, 12466, 2018, 3136, 454, 1038, 952, 568, 27349, 16216, 9131, 1998, 28710, 630, 4289, 15892, 2018, 1007, 292, 11749, 815, 11713, 2018, 585, 678, 538, 552, 9131, 1998, 11172, 912, 3546, 952, 678, 9131, 4486, 11172, 2652, 1412, 20931, 12466, 7386, 1007, 305, 11749, 815, 11713, 7386, 1948, 1413, 883, 519, 7389, 543, 1287, 18419, 972, 3388, 855, 519, 31548, 910, 952, 1100, 31548, 18419, 519, 4266, 3294, 454, 7386, 585, 512, 538, 678, 9131, 1998, 11172, 912, 13376, 952, 556, 6230, 2255, 16868, 257, 314, 271, 268, 280, 31765, 275, 4153, 16804, 271, 268, 280, 31765, 272, 267, 273, 4153, 16804, 271, 268, 280, 31765, 272, 267, 273, 348, 2580, 512, 9131, 4486, 11172, 2187, 23351, 1007, 307, 11749, 815, 11713, 23351, 585, 1990, 538, 512, 9131, 1998, 11172, 912, 4449, 3546, 952, 1990, 9131, 4486, 11172, 2652, 1412, 611, 6665, 528, 12466, 4449, 7386, 1007, 307, 11749, 6910, 18750, 994, 23351, 952, 1007, 307, 11749, 912, 4449, 3546, 1007, 305, 11749, 6910, 20719, 262, 4486, 9166, 339, 9131, 4486, 28710, 262, 1998, 9166, 2908, 307, 11749, 348, 994, 13376, 3116, 912, 23351, 1007, 305, 11749, 6910, 6025, 994, 7386, 1007, 292, 11749, 6910, 20719, 262, 4486, 9166, 337, 9131, 4486, 28710, 1412, 1998, 9166, 2908, 305, 11749, 348, 994, 3546, 3116, 912, 7386, 1007, 292, 11749, 6910, 16868, 994, 2018, 1007, 292, 815, 27835, 4486, 9166, 324, 9131, 4486, 28710, 1412, 1998, 9166, 2908, 292, 11749, 8679, 1038, 3116, 912, 2018, 1007, 292, 815, 552, 454, 1038, 1007, 11917, 329, 6910, 28956, 292, 2020, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 273, 912, 1038, 796, 27785, 263, 13449, 4433, 903, 27769, 341, 314, 273, 3910, 834, 342, 19823, 1007, 11917, 329, 994, 825, 3116, 912, 1038, 796, 27785, 4433, 903, 14714, 323, 719, 267, 1007, 11917, 329, 994, 0, 343, 815, 476, 4200, 692, 3698, 535, 272, 10031, 825, 1948, 2745, 3287, 994, 825, 1535, 815, 476, 6434, 454, 825, 1820, 3488, 325, 272, 267, 1535, 284, 3299, 1535, 994, 825, 1219, 535, 273, 10031, 1038, 1820, 3488, 325, 273, 267, 1535, 284, 3299, 1535, 994, 825, 535, 273, 10797, 3698, 535, 274, 10031, 825, 1535, 815, 476, 6434, 454, 825, 1820, 3488, 325, 274, 267, 1535, 284, 3299, 1535, 994, 825, 1219, 535, 275, 10031, 1038, 1820, 3488, 325, 275, 267, 1535, 284, 3299, 1535, 994, 825, 2132, 535, 275, 692, 2745, 3488, 7116, 2544, 267, 1535, 284, 3299, 1535, 994, 2745, 3488, 322, 718, 535, 272, 3890, 5073, 325, 272, 4590, 2745, 3488, 322, 718, 535, 274, 3890, 5073, 9146, 815, 535, 274, 4590, 2745, 3488, 322, 718, 535, 275, 3890, 5073, 9146, 10797, 3698, 535, 276, 10031, 825, 700, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 825, 1820, 3488, 325, 276, 19572, 700, 284, 3299, 700, 994, 825, 1219, 535, 276, 318, 272, 10031, 1038, 2132, 700, 454, 825, 2132, 535, 276, 318, 272, 692, 2745, 3488, 322, 718, 535, 276, 3890, 5073, 325, 276, 318, 4958, 815, 535, 276, 4590, 2745, 3488, 325, 276, 318, 272, 815, 3299, 535, 276, 318, 4958, 994, 2745, 3488, 322, 718, 535, 276, 318, 272, 3890, 5073, 299, 272, 815, 535, 276, 318, 4958, 4590, 2745, 3488, 325, 276, 318, 272, 19572, 700, 272, 284, 3299, 700, 272, 994, 299, 273, 815, 535, 276, 318, 4958, 4590, 2745, 3488, 325, 276, 318, 272, 19572, 700, 273, 284, 3299, 700, 273, 994, 299, 272, 314, 271, 316, 815, 476, 1015, 454, 2745, 3488, 299, 272, 314, 271, 316, 815, 476, 1015, 267, 700, 272, 815, 3299, 700, 272, 267, 22207, 700, 273, 815, 3299, 700, 273, 994, 299, 274, 815, 535, 276, 318, 4958, 4590, 2745, 3488, 325, 276, 318, 272, 19572, 700, 274, 284, 3299, 700, 274, 2020, 2745, 4590, 2745, 3488, 20447, 15159, 26266, 354, 31308, 480, 16583, 30936, 267, 476, 18263, 509, 9463, 360, 25426, 511, 12571, 486, 26918, 16583, 30936, 5073, 3698, 20536, 3799, 2187, 825, 1219, 2962, 3287, 2187, 1038, 1820, 3488, 346, 271, 348, 2878, 2715, 272, 348, 8339, 8971, 3287, 267, 562, 4917, 1038, 2132, 1535, 2878, 562, 454, 825, 2132, 2962, 692, 325, 815, 20536, 263, 273, 994, 2745, 3488, 325, 815, 20536, 263, 273, 1070, 535, 815, 3299, 535, 994, 326, 815, 20536, 263, 274, 994, 2745, 3488, 326, 815, 20536, 263, 274, 1070, 575, 815, 3299, 575, 2020, 2745, 3488, 325, 263, 273, 264, 815, 3299, 535, 263, 273, 4917, 2745, 3488, 326, 263, 273, 264, 815, 3299, 575, 263, 273, 4917, 2745, 3488, 325, 263, 274, 264, 815, 3299, 535, 263, 274, 4917, 2745, 3488, 326, 263, 274, 264, 815, 3299, 575, 263, 274, 4917, 0, 2745, 3488, 5035, 2848, 3899, 267, 946, 6449, 1326, 14403, 1029, 3890, 547, 621, 4733, 5073, 5035, 2848, 3899, 912, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1775, 2187, 1038, 1820, 3488, 4614, 3899, 14857, 1326, 14403, 1029, 267, 1775, 815, 3299, 1775, 994, 1038, 2132, 1582, 21606, 5157, 6540, 2745, 4590, 2745, 3488, 343, 815, 2848, 3899, 3890, 5073, 343, 815, 2848, 3899, 4590, 2745, 2891, 343, 21606, 815, 1412, 4944, 600, 262, 5602, 343, 21606, 815, 1412, 4944, 600, 28847, 2745, 4590, 2745, 3488, 1721, 6221, 538, 1535, 5073, 1721, 6221, 538, 1535, 912, 825, 1820, 3488, 14403, 815, 3299, 6221, 2020, 2745, 4590, 2745, 2891, 262, 335, 262, 538, 1535, 815, 2580, 1412, 335, 262, 538, 1535, 2020, 2745, 3488, 314, 322, 585, 524, 538, 1535, 316, 815, 3299, 1496, 322, 585, 524, 538, 1535, 20285, 2745, 3488, 4289, 9852, 777, 19304, 269, 21639, 267, 1535, 4297, 815, 3299, 1592, 9852, 777, 19304, 269, 21639, 267, 1535, 4297, 2020, 2745, 3488, 263, 320, 267, 536, 267, 524, 267, 546, 264, 815, 1535, 5073, 5416, 267, 536, 267, 524, 267, 546, 264, 815, 1535, 454, 2745, 3488, 320, 815, 4939, 338, 267, 536, 815, 4939, 338, 267, 524, 815, 4939, 338, 267, 546, 815, 4939, 338, 262, 4939, 630, 320, 267, 536, 267, 524, 267, 546, 4917, 0, 5035, 595, 273, 281, 1780, 692, 5035, 595, 274, 281, 1780, 692, 5035, 595, 272, 18154, 273, 267, 595, 274, 2187, 825, 1219, 1305, 4067, 4311, 267, 945, 2187, 1038, 1582, 20508, 815, 945, 1948, 28098, 29830, 373, 418, 362, 488, 9463, 480, 12255, 1345, 417, 479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 1547, 19668, 6831, 600, 5028, 318, 7116, 2544, 1104, 12476, 23173, 5028, 9556, 2544, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5228, 4351, 1104, 28219, 842, 7531, 5035, 667, 16244, 23173, 5028, 9556, 2544, 16360, 848, 23173, 5028, 9556, 2544, 2187, 825, 5727, 291, 16244, 8254, 9074, 585, 2870, 10169, 4351, 2592, 1510, 513, 454, 825, 8254, 20701, 825, 1219, 6449, 8181, 9191, 1345, 2676, 4449, 3758, 318, 2169, 3290, 284, 2668, 335, 978, 20350, 4449, 8700, 284, 6344, 271, 2676, 4449, 4463, 284, 8517, 2676, 4449, 1297, 15058, 6831, 597, 3380, 284, 3199, 2676, 4449, 1295, 6831, 22511, 318, 31709, 284, 1789, 2676, 4449, 3193, 6831, 22511, 318, 31709, 284, 3199, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 12803, 318, 2169, 3290, 994, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 8542, 3784, 15058, 6831, 597, 3380, 815, 1297, 15058, 6831, 597, 3380, 454, 1038, 1582, 269, 2381, 6831, 22511, 318, 31709, 815, 1295, 6831, 22511, 318, 31709, 454, 1038, 1582, 27982, 6831, 22511, 318, 31709, 815, 3193, 6831, 22511, 318, 31709, 692, 825, 1219, 1039, 318, 12690, 6831, 22511, 15461, 318, 13548, 4311, 267, 3239, 2187, 1038, 5727, 11754, 513, 4351, 5858, 547, 519, 3239, 1759, 593, 519, 3403, 6724, 540, 454, 1038, 519, 1362, 269, 634, 1599, 7024, 519, 3403, 3239, 609, 519, 3773, 454, 1038, 5858, 27969, 454, 1038, 1535, 318, 22487, 815, 28219, 842, 263, 271, 267, 1582, 9884, 5954, 910, 476, 272, 994, 1038, 586, 318, 22487, 815, 28219, 842, 263, 271, 267, 1582, 269, 19417, 910, 476, 272, 994, 1038, 8953, 815, 28219, 842, 4311, 269, 2381, 6831, 22511, 318, 31709, 267, 1582, 27982, 6831, 22511, 318, 31709, 994, 1038, 678, 815, 28219, 842, 263, 271, 267, 476, 14838, 994, 1038, 575, 815, 28219, 842, 263, 271, 267, 476, 14838, 994, 1038, 536, 815, 28219, 842, 263, 271, 267, 476, 14838, 2020, 1038, 1948, 8073, 1376, 543, 1439, 9557, 607, 12055, 908, 998, 519, 2898, 454, 1038, 1948, 3239, 568, 711, 2556, 454, 1038, 1535, 318, 11034, 815, 3193, 263, 271, 267, 1535, 318, 22487, 910, 8953, 910, 476, 272, 994, 1038, 1535, 318, 754, 815, 1295, 4311, 9884, 5954, 267, 1535, 318, 22487, 1341, 8953, 1341, 476, 272, 994, 1038, 586, 318, 11034, 815, 3193, 263, 271, 267, 586, 318, 22487, 910, 8953, 910, 476, 272, 994, 1038, 586, 318, 754, 815, 1295, 4311, 269, 19417, 267, 586, 318, 22487, 1341, 8953, 1341, 476, 272, 2020, 1038, 585, 1535, 538, 2039, 3287, 318, 11034, 267, 1535, 318, 754, 2187, 2018, 585, 586, 538, 2039, 12169, 318, 11034, 267, 586, 318, 754, 2187, 3546, 952, 630, 343, 910, 1535, 318, 22487, 264, 1262, 273, 1341, 630, 344, 910, 586, 318, 22487, 264, 1262, 273, 2999, 8953, 1262, 273, 912, 7386, 3239, 314, 344, 267, 1535, 267, 476, 271, 316, 815, 678, 454, 7386, 3239, 314, 344, 267, 1535, 267, 476, 272, 316, 815, 575, 454, 7386, 3239, 314, 344, 267, 1535, 267, 476, 273, 316, 815, 536, 454, 1038, 2132, 3239, 692, 825, 1219, 7001, 318, 13548, 4311, 267, 3239, 24786, 267, 6151, 18316, 24786, 22561, 2187, 1038, 5727, 24478, 525, 606, 3239, 543, 17990, 621, 538, 834, 13548, 24786, 257, 27969, 454, 1038, 1948, 8073, 3043, 3239, 454, 1038, 3239, 815, 5286, 269, 21459, 9230, 1345, 269, 19417, 267, 1582, 9884, 5954, 267, 476, 274, 1070, 476, 14838, 267, 546, 6943, 284, 12639, 269, 340, 842, 279, 2020, 1038, 1948, 5410, 10580, 547, 3239, 454, 1038, 585, 1535, 538, 2039, 4311, 8542, 3784, 15058, 6831, 597, 3380, 2187, 2018, 3239, 815, 1582, 14491, 318, 12690, 6831, 22511, 15461, 318, 13548, 263, 13548, 2020, 1038, 1948, 16440, 3239, 454, 1038, 12301, 269, 15501, 1511, 263, 13548, 24786, 267, 3239, 994, 0, 12163, 4329, 538, 5137, 11390, 903, 3890, 1599, 786, 581, 1031, 21229, 12185, 4632, 563, 594, 786, 2491, 519, 2495, 540, 1142, 540, 873, 563, 1358, 941, 1031, 585, 13418, 563, 1496, 335, 3910, 1496, 336, 316, 910, 1079, 6305, 2338, 563, 1496, 333, 316, 910, 519, 1587, 540, 1496, 335, 316, 593, 1496, 336, 14073, 1496, 325, 316, 910, 552, 17526, 1599, 540, 1496, 333, 14073, 1496, 324, 316, 910, 606, 1930, 20800, 568, 971, 602, 630, 314, 324, 316, 568, 6305, 264, 543, 630, 324, 2999, 535, 264, 543, 630, 325, 1110, 552, 11203, 476, 271, 1916, 1496, 323, 316, 910, 606, 5728, 20800, 568, 971, 602, 630, 323, 2608, 552, 264, 1110, 535, 815, 476, 272, 563, 20701, 3698, 568, 28269, 3799, 2187, 453, 5228, 2979, 1104, 21762, 3097, 453, 328, 815, 476, 273, 3097, 453, 6112, 1775, 10922, 21762, 3799, 2567, 3097, 453, 14851, 562, 4939, 1775, 2652, 476, 271, 912, 4848, 16596, 8771, 454, 453, 453, 328, 6834, 476, 272, 454, 16596, 6936, 692, 3698, 5137, 11390, 903, 263, 2567, 28768, 453, 5228, 4351, 1104, 28219, 842, 3097, 453, 335, 267, 7117, 267, 552, 815, 476, 1015, 267, 476, 1015, 267, 476, 275, 454, 453, 6112, 711, 568, 28269, 9638, 2187, 453, 453, 335, 815, 28219, 842, 263, 4335, 267, 476, 10384, 994, 453, 6112, 711, 568, 28269, 32429, 2187, 453, 453, 336, 815, 28219, 842, 263, 4335, 267, 476, 10384, 994, 453, 333, 267, 535, 267, 546, 815, 533, 2608, 7117, 267, 630, 335, 910, 476, 272, 264, 2608, 630, 336, 910, 476, 272, 1070, 476, 271, 454, 453, 6112, 630, 2254, 568, 28269, 16216, 4297, 610, 630, 324, 3436, 535, 264, 610, 630, 325, 4939, 552, 2652, 476, 271, 2567, 3097, 453, 453, 324, 6834, 476, 272, 3097, 453, 6112, 630, 323, 2608, 552, 264, 4939, 535, 11203, 476, 272, 912, 453, 453, 323, 6834, 476, 272, 3097, 16596, 630, 324, 267, 562, 1070, 630, 323, 267, 562, 2020, 3698, 17683, 10031, 453, 29514, 1257, 21803, 267, 1930, 7659, 267, 29905, 8266, 3097, 453, 322, 8327, 8266, 815, 32582, 3097, 453, 324, 267, 562, 815, 1930, 7659, 454, 22610, 4484, 538, 1257, 21803, 912, 453, 453, 322, 8327, 8266, 6910, 263, 867, 263, 12072, 264, 2878, 552, 4939, 562, 264, 8528, 3698, 29852, 10031, 453, 29514, 29905, 8266, 267, 2673, 7659, 267, 1257, 21803, 3097, 453, 3667, 21803, 815, 834, 257, 3097, 453, 323, 267, 562, 815, 2673, 7659, 454, 22610, 6221, 538, 29905, 8266, 912, 453, 453, 3667, 21803, 6834, 669, 337, 17301, 263, 14403, 264, 2878, 546, 4939, 562, 264, 8528, 3698, 17431, 300, 1712, 10031, 453, 29514, 1257, 21803, 267, 1930, 7659, 267, 2673, 7659, 267, 29905, 8266, 454, 453, 5814, 942, 527, 692, 13537, 19629, 333, 9732, 23227, 566, 7154, 15181, 256, 16938, 630, 349, 391, 502, 16123, 378, 391, 502, 264, 349, 15419, 453, 339, 787, 281, 3097, 453, 453, 3667, 21803, 815, 1193, 9272, 2891, 314, 266, 316, 9373, 707, 1257, 910, 27328, 453, 453, 3832, 9535, 815, 1257, 21803, 314, 271, 2639, 453, 21955, 912, 453, 13537, 2891, 314, 343, 316, 769, 20777, 3403, 256, 1280, 1383, 281, 1422, 257, 31435, 315, 257, 23528, 453, 453, 571, 1047, 3590, 2750, 527, 3097, 453, 13449, 7659, 267, 2673, 7659, 815, 5137, 11390, 903, 10797, 13537, 2891, 314, 349, 316, 2659, 1930, 1883, 910, 1496, 346, 9574, 24001, 316, 1701, 269, 8971, 263, 13449, 7659, 314, 271, 3910, 1930, 7659, 314, 272, 316, 4297, 3097, 13537, 2891, 314, 349, 316, 2659, 2673, 1883, 910, 1496, 346, 9574, 24001, 316, 1701, 269, 8971, 263, 29148, 7659, 314, 271, 3910, 2673, 7659, 314, 272, 8079, 2020, 453, 16780, 5317, 8110, 18504, 815, 834, 10065, 276, 325, 257, 4939, 942, 527, 28333, 527, 263, 16780, 5317, 267, 1297, 815, 476, 272, 2020, 13537, 19629, 333, 9732, 14872, 634, 1267, 540, 17683, 676, 681, 6347, 5690, 269, 16938, 26872, 8442, 3097, 13537, 6262, 8327, 8266, 2020, 453, 3667, 21803, 815, 834, 4840, 453, 20657, 5317, 30648, 18504, 815, 834, 10065, 276, 325, 257, 4939, 942, 527, 28333, 527, 263, 20657, 5317, 267, 1297, 815, 476, 272, 2020, 13537, 19629, 333, 9732, 14872, 634, 1267, 540, 29852, 676, 681, 6347, 5690, 269, 16938, 26872, 8442, 3097, 13537, 29495, 21803, 994, 13537, 19629, 333, 314, 349, 316, 681, 6347, 5690, 17683, 2773, 910, 15079, 3813, 1701, 269, 8971, 263, 16780, 5317, 8110, 18504, 4917, 13537, 2891, 314, 349, 316, 681, 6347, 5690, 29852, 2773, 910, 15079, 3813, 1701, 269, 8971, 263, 20657, 5317, 30648, 18504, 11723, 3698, 17683, 300, 1712, 10031, 453, 29514, 1257, 21803, 267, 1930, 7659, 267, 29905, 8266, 454, 453, 5814, 942, 527, 692, 13537, 19629, 333, 9732, 7402, 5317, 7154, 15181, 256, 16938, 630, 349, 391, 502, 16123, 378, 391, 502, 264, 349, 15419, 453, 339, 787, 912, 453, 453, 3667, 21803, 815, 1193, 9272, 2891, 314, 266, 316, 9373, 707, 1257, 910, 27328, 453, 453, 3832, 9535, 815, 1257, 21803, 314, 271, 2639, 453, 21955, 12039, 13286, 912, 453, 13537, 2891, 314, 343, 316, 769, 20777, 3403, 256, 1280, 1383, 281, 1422, 257, 31435, 315, 257, 23528, 453, 453, 571, 1047, 3590, 2750, 527, 454, 13537, 2891, 3040, 476, 271, 269, 15932, 1930, 1883, 26142, 333, 3040, 476, 272, 269, 2659, 1930, 1883, 263, 1721, 4810, 1040, 5602, 453, 4486, 815, 703, 9272, 2891, 314, 286, 316, 8564, 1930, 1883, 1505, 910, 27328, 14851, 1883, 2652, 476, 271, 912, 453, 453, 13449, 7659, 267, 2673, 7659, 815, 5137, 11390, 903, 4590, 453, 13537, 2891, 314, 349, 316, 2659, 1930, 1883, 910, 1496, 346, 9574, 24001, 316, 1701, 269, 8971, 263, 13449, 7659, 314, 271, 3910, 1930, 7659, 314, 272, 28413, 453, 13537, 2891, 314, 349, 316, 2659, 2673, 1883, 910, 1496, 346, 9574, 24001, 316, 1701, 269, 8971, 263, 29148, 7659, 314, 271, 3910, 2673, 7659, 314, 272, 28413, 453, 19197, 1883, 2652, 476, 272, 912, 453, 453, 13449, 7659, 815, 24042, 9852, 777, 17301, 267, 1193, 9272, 2891, 314, 266, 316, 9373, 707, 1930, 1883, 910, 834, 26895, 20889, 2891, 2437, 4297, 2020, 453, 16780, 5317, 8110, 18504, 815, 834, 10065, 276, 325, 257, 4939, 942, 527, 28333, 527, 263, 16780, 5317, 267, 1297, 815, 476, 272, 2020, 13537, 19629, 333, 9732, 14872, 634, 1267, 540, 17683, 676, 681, 6347, 5690, 269, 16938, 26872, 5602, 13537, 6262, 8327, 8266, 994, 13537, 19629, 333, 314, 349, 316, 681, 6347, 5690, 17683, 2773, 910, 15079, 3813, 1701, 269, 8971, 263, 16780, 5317, 8110, 18504, 11723, 3698, 29852, 300, 1712, 10031, 453, 29514, 1257, 21803, 267, 2673, 7659, 267, 29905, 8266, 454, 453, 5814, 942, 527, 692, 13537, 19629, 333, 9732, 5463, 5317, 7154, 15181, 256, 16938, 630, 349, 391, 502, 16123, 378, 391, 502, 264, 349, 8442, 8528, 453, 339, 787, 281, 3097, 453, 453, 322, 8327, 8266, 815, 3403, 2891, 314, 266, 316, 9373, 707, 29905, 1592, 910, 834, 264, 3097, 453, 14851, 29905, 8266, 314, 271, 316, 2652, 834, 314, 13426, 4848, 453, 322, 8327, 8266, 815, 1592, 9852, 777, 17301, 267, 29905, 8266, 314, 272, 281, 6352, 6262, 8327, 8266, 264, 910, 476, 272, 4940, 20889, 2891, 2437, 30727, 3097, 453, 28432, 912, 4848, 453, 322, 8327, 8266, 815, 1592, 9852, 777, 17301, 267, 29905, 8266, 21858, 2891, 2437, 30727, 3097, 453, 21955, 912, 453, 13537, 2891, 314, 343, 316, 769, 20777, 3403, 256, 1280, 1383, 281, 1422, 257, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 316, 315, 257, 23528, 453, 453, 571, 1047, 3590, 2750, 527, 3097, 453, 29148, 7659, 815, 3403, 2891, 314, 266, 316, 9373, 707, 2673, 1883, 910, 834, 264, 3097, 14851, 2673, 7659, 314, 271, 316, 2652, 834, 314, 13426, 453, 453, 29148, 7659, 815, 24042, 9852, 777, 17301, 267, 2673, 7659, 314, 272, 281, 7003, 263, 29148, 7659, 264, 910, 476, 272, 4940, 20889, 2891, 2437, 30727, 3097, 28432, 912, 453, 453, 29148, 7659, 815, 24042, 9852, 777, 17301, 267, 2673, 7659, 21858, 2891, 2437, 4297, 2020, 453, 20657, 5317, 30648, 18504, 815, 834, 10065, 276, 325, 257, 4939, 942, 527, 28333, 527, 263, 20657, 5317, 267, 1297, 815, 476, 272, 2020, 13537, 19629, 333, 9732, 14872, 634, 1267, 540, 29852, 676, 681, 6347, 5690, 269, 16938, 26872, 8442, 3097, 13537, 29495, 21803, 994, 13537, 19629, 333, 314, 349, 316, 681, 6347, 5690, 29852, 2773, 910, 15079, 3813, 1701, 269, 8971, 263, 20657, 5317, 30648, 18504, 4297, 8528, 3698, 1292, 10031, 13537, 19629, 339, 29146, 20572, 316, 681, 11597, 1700, 4537, 600, 597, 1700, 3849, 548, 2006, 25563, 5690 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 288, 2241, 590, 4953, 3556, 3014, 8045, 538, 5124, 454, 8794, 28184, 5793, 585, 14839, 454, 12163, 5814, 3490, 5038, 454, 5814, 2979, 454, 5814, 942, 454, 5814, 28184, 5793, 607, 28184, 454, 5228, 28184, 5793, 1104, 5048, 7901, 692, 5228, 1305, 318, 8421, 545, 1104, 2608, 692, 1029, 10461, 1029, 815, 834, 293, 1042, 518, 1731, 2274, 4275, 4840, 1029, 11437, 1029, 815, 834, 271, 269, 272, 5016, 290, 19181, 318, 4047, 20846, 815, 476, 4968, 454, 290, 19181, 318, 310, 2839, 8025, 815, 476, 18597, 454, 290, 19181, 318, 9915, 19781, 815, 476, 1015, 692, 290, 19181, 29758, 19272, 29758, 19272, 294, 4629, 26685, 815, 834, 19009, 4840, 290, 19181, 29758, 19272, 318, 19489, 9680, 4629, 26685, 815, 834, 1042, 4840, 290, 19181, 29758, 19272, 318, 307, 28692, 318, 4596, 299, 21788, 815, 834, 19990, 4840, 290, 19181, 29758, 19272, 318, 307, 28692, 815, 834, 306, 4953, 5016, 3698, 22245, 15461, 23952, 6025, 25534, 2187, 825, 22245, 815, 703, 6025, 25534, 994, 825, 942, 23952, 815, 834, 11742, 281, 27029, 825, 942, 23952, 6834, 1193, 263, 4118, 269, 28776, 6025, 25534, 270, 2568, 4297, 266, 9166, 262, 266, 1598, 6025, 25534, 260, 2568, 1040, 345, 15640, 263, 273, 994, 825, 2132, 942, 23952, 692, 3698, 18745, 1103, 290, 1844, 636, 3287, 267, 586, 267, 678, 19885, 284, 1789, 2187, 825, 2132, 27883, 343, 266, 4118, 269, 6523, 263, 273, 265, 4118, 32564, 14672, 265, 328, 12684, 337, 11971, 266, 4118, 4732, 514, 263, 273, 265, 4118, 32564, 14672, 265, 328, 12684, 337, 264, 585, 1775, 538, 2039, 263, 271, 19885, 266, 272, 264, 6540, 3698, 9041, 22056, 5334, 13645, 4311, 267, 1535, 267, 586, 267, 678, 267, 2878, 29220, 16911, 2187, 825, 2132, 1582, 269, 22056, 318, 5550, 4120, 3287, 8573, 267, 586, 8573, 267, 1535, 266, 337, 267, 586, 266, 337, 267, 2878, 29220, 16911, 2020, 3698, 9041, 22056, 6831, 22511, 4311, 267, 1535, 267, 586, 267, 678, 267, 2878, 29220, 16911, 2187, 825, 2798, 815, 18745, 1103, 290, 1844, 636, 3287, 11971, 267, 337, 994, 825, 2132, 1582, 269, 22056, 7272, 8432, 12455, 263, 9557, 267, 2878, 29220, 16911, 994, 258, 8873, 1582, 269, 22056, 318, 15772, 3287, 8573, 267, 586, 8573, 267, 1535, 266, 337, 267, 586, 266, 337, 267, 2878, 29220, 16911, 2020, 3698, 9041, 22056, 4671, 686, 4120, 4311, 267, 1535, 267, 586, 267, 678, 267, 2878, 29220, 16911, 2187, 825, 2798, 815, 1496, 343, 8573, 11971, 266, 337, 21726, 11971, 8573, 21726, 266, 337, 11971, 266, 337, 2639, 825, 2132, 1582, 269, 22056, 7272, 8432, 12455, 263, 9557, 267, 2878, 29220, 16911, 2020, 339, 330, 269, 4692, 11663, 269, 22056, 6831, 22511, 815, 9041, 22056, 6831, 22511, 454, 339, 330, 269, 4692, 11663, 269, 22056, 5334, 13645, 815, 9041, 22056, 5334, 13645, 454, 339, 330, 269, 4692, 11663, 269, 22056, 4671, 686, 4120, 815, 9041, 22056, 4671, 686, 4120, 692, 5035, 9315, 8698, 912, 825, 8173, 825, 589, 1362, 547, 4383, 519, 5373, 540, 513, 590, 4953, 3556, 593, 513, 17198, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 17198, 267, 3556, 267, 2451, 318, 2515, 267, 1283, 318, 2515, 2676, 4449, 4282, 22674, 712, 284, 290, 19181, 29758, 19272, 29758, 19272, 294, 4629, 26685, 2676, 4449, 32215, 22674, 712, 284, 290, 19181, 29758, 19272, 318, 19489, 9680, 4629, 26685, 2676, 4449, 1257, 22674, 712, 284, 290, 19181, 29758, 19272, 318, 307, 28692, 318, 4596, 299, 21788, 267, 1257, 284, 290, 19181, 29758, 19272, 318, 307, 28692, 2187, 1038, 8173, 1038, 20472, 513, 1007, 3556, 547, 581, 6537, 593, 519, 2016, 17198, 693, 519, 2451, 318, 6570, 780, 1038, 30352, 912, 2018, 17198, 630, 339, 330, 269, 4692, 11663, 2567, 634, 17198, 547, 2721, 519, 3556, 5196, 563, 2018, 2451, 318, 2515, 630, 842, 2567, 634, 2179, 540, 19641, 538, 519, 17198, 547, 2721, 519, 3556, 563, 2018, 4282, 22674, 712, 630, 339, 330, 5861, 565, 528, 2567, 7982, 2183, 3556, 4282, 7990, 563, 2018, 32215, 22674, 712, 630, 339, 330, 5861, 565, 528, 2567, 7982, 2183, 3556, 32215, 7990, 563, 2018, 1257, 22674, 712, 630, 339, 330, 5861, 565, 528, 2567, 7982, 2183, 3556, 1257, 7990, 563, 2018, 1257, 630, 1598, 2567, 7982, 2183, 3556, 1257, 547, 4159, 563, 1038, 8173, 1038, 1582, 11519, 4754, 11663, 815, 17198, 454, 1038, 1582, 6983, 731, 815, 3556, 454, 1038, 1582, 16000, 318, 2515, 815, 2451, 318, 2515, 454, 1038, 1582, 16192, 318, 2515, 815, 2451, 318, 2515, 1341, 595, 19181, 318, 310, 2839, 8025, 454, 1038, 1582, 6745, 641, 318, 2515, 815, 1283, 318, 2515, 454, 1038, 1582, 12500, 18847, 318, 2515, 815, 1283, 318, 2515, 1341, 595, 19181, 318, 4047, 20846, 692, 1038, 1582, 11519, 3724, 3033, 815, 4282, 22674, 712, 454, 1038, 1582, 11519, 1150, 3033, 815, 32215, 22674, 712, 454, 1038, 1582, 11519, 3667, 22674, 712, 815, 1257, 22674, 712, 454, 1038, 1582, 11519, 3667, 815, 1257, 454, 1038, 1582, 11519, 13548, 815, 7183, 692, 1038, 1582, 6155, 3863, 10797, 825, 1219, 1205, 4537, 1901, 8698, 4311, 2187, 1038, 3337, 815, 1193, 4311, 6983, 731, 10947, 4537, 1901, 14061, 4067, 994, 1038, 952, 3337, 2652, 834, 15132, 548, 13426, 2018, 2132, 1582, 11519, 4754, 11663, 269, 22056, 6831, 22511, 454, 1038, 8640, 3337, 2652, 834, 338, 13645, 13426, 2018, 2132, 1582, 11519, 4754, 11663, 269, 22056, 5334, 13645, 454, 1038, 8640, 3337, 2652, 834, 28256, 4120, 13426, 2018, 2132, 1582, 11519, 4754, 11663, 269, 22056, 4671, 686, 4120, 692, 825, 1219, 2721, 4311, 2187, 1038, 5727, 19352, 519, 1394, 2183, 540, 519, 3556, 547, 519, 17198, 27969, 454, 1038, 1582, 11519, 3724, 815, 1582, 6155, 3863, 318, 3724, 4311, 11519, 3724, 3033, 994, 1038, 2681, 815, 1193, 4311, 6983, 731, 10947, 21760, 14061, 4067, 994, 1038, 6445, 815, 1193, 4311, 6983, 731, 10947, 293, 650, 14061, 4067, 994, 1038, 6445, 318, 10233, 815, 2681, 454, 1038, 588, 21451, 815, 15234, 692, 1038, 3093, 523, 3784, 815, 703, 4311, 6983, 731, 10947, 10831, 14061, 7407, 994, 1038, 3337, 815, 1193, 4311, 6983, 731, 10947, 4537, 1901, 14061, 4067, 2020, 1038, 952, 6445, 2652, 1412, 327, 2788, 12466, 2018, 588, 21451, 815, 1412, 326, 2001, 1839, 7055, 1038, 8640, 6445, 2652, 1412, 333, 821, 12466, 2018, 6445, 318, 10233, 815, 1412, 7055, 1038, 2721, 4537, 1901, 815, 1582, 10947, 4537, 1901, 8698, 4590, 1038, 585, 1775, 538, 2039, 263, 271, 267, 3333, 777, 523, 3784, 2187, 2018, 2721, 4537, 1901, 4311, 16000, 318, 2515, 23444, 290, 19181, 318, 310, 2839, 8025, 12262, 476, 273, 1070, 1582, 6745, 641, 318, 2515, 23444, 290, 19181, 318, 4047, 20846, 12262, 630, 3333, 777, 523, 3784, 266, 272, 4297, 16732, 328, 266, 272, 1070, 476, 1789, 267, 26444, 7386, 7291, 284, 10233, 267, 6445, 284, 15640, 318, 10233, 267, 588, 21451, 284, 560, 21451, 267, 8700, 284, 273, 994, 1038, 2132, 476, 272, 692, 825, 1219, 2721, 318, 3724, 4311, 267, 7990, 2187, 1038, 5727, 19352, 519, 1394, 540, 519, 17198, 630, 1492, 4282, 711, 519, 1394, 2183, 6393, 1038, 30352, 912, 2018, 7990, 630, 339, 330, 5861, 565, 528, 2567, 634, 7990, 540, 519, 4282, 563, 1038, 8173, 1038, 2132, 1582, 11519, 4754, 11663, 269, 22056, 318, 5550, 4120, 4311, 16000, 318, 2515, 267, 1582, 6745, 641, 318, 2515, 2676, 14030, 17264, 1582, 16192, 318, 2515, 267, 1582, 12500, 18847, 318, 2515, 2676, 14030, 17264, 6445, 284, 3712, 712, 2020, 825, 1219, 2721, 26748, 4311, 267, 1257, 267, 7990, 2187, 1038, 5727, 19352, 1257, 538, 519, 1647, 540, 519, 3556, 780, 1038, 30352, 912, 2018, 1257, 630, 1598, 2567, 634, 1257, 547, 4159, 593, 519, 3556, 563, 2018, 7990, 630, 339, 330, 5861, 565, 528, 2567, 634, 7990, 540, 519, 1257, 547, 4159, 563, 1038, 8173, 1038, 2132, 1582, 11519, 4754, 11663, 269, 22056, 26748, 4311, 16000, 318, 2515, 1341, 630, 290, 19181, 318, 310, 2839, 8025, 12262, 476, 273, 13211, 4449, 13376, 595, 19181, 318, 4047, 20846, 12262, 476, 273, 267, 1257, 284, 3667, 267, 6445, 284, 3712, 712, 2676, 4449, 13376, 13944, 284, 3488, 307, 1307, 3299, 1412, 1626, 3299, 1412, 321, 1245, 24495, 545, 10807, 2020, 5035, 7305, 8698, 6025, 330, 269, 4692, 11663, 2187, 825, 8173, 825, 589, 2052, 11663, 602, 10525, 513, 3349, 540, 1305, 6486, 593, 513, 4604, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 4487, 267, 3349, 267, 4584, 6831, 731, 22561, 267, 8473, 318, 10233, 6889, 258, 277, 291, 275, 290, 6078, 20350, 4449, 3742, 10734, 4650, 6889, 1042, 2580, 15558, 13448, 284, 290, 19181, 318, 310, 2839, 8025, 267, 15558, 14729, 284, 290, 19181, 318, 4047, 20846, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 1038, 8173, 1038, 20472, 513, 3349, 2070, 780, 1038, 30352, 912, 2018, 4487, 630, 339, 330, 11053, 330, 347, 339, 330, 12171, 9347, 2567, 634, 2385, 540, 713, 17198, 563, 2018, 4584, 6831, 731, 630, 322, 718, 762, 2567, 634, 1289, 3724, 950, 3556, 538, 713, 16064, 568, 4945, 539, 563, 14030, 476, 570, 1389, 606, 703, 8204, 519, 6486, 4994, 563, 2018, 8473, 22674, 712, 630, 339, 330, 5861, 565, 528, 2567, 634, 7990, 540, 519, 3349, 8473, 563, 2018, 15558, 630, 842, 2567, 634, 15558, 1063, 6486, 593, 519, 16064, 563, 1038, 8173, 1038, 2706, 14061, 1029, 8181, 9191, 24490, 267, 2608, 16911, 267, 2878, 29220, 16911, 267, 536, 326, 284, 321, 4650, 318, 10233, 2676, 4449, 1363, 5031, 628, 32169, 284, 276, 267, 5031, 3724, 3033, 284, 321, 4650, 318, 10233, 2020, 1038, 1582, 4877, 1157, 6831, 731, 815, 4584, 6831, 731, 454, 1038, 1582, 269, 4752, 3553, 13448, 815, 15558, 13448, 454, 1038, 1582, 269, 4752, 3553, 14729, 815, 15558, 14729, 454, 1038, 1582, 6983, 1841, 815, 31460, 1038, 1582, 8542, 636, 15058, 22674, 338, 815, 703, 12759, 6025, 762, 10947, 290, 1841, 3890, 8358, 274, 2020, 1038, 1582, 11519, 321, 4650, 318, 10233, 815, 8473, 318, 10233, 454, 1038, 1582, 11519, 5562, 10734, 4650, 815, 3742, 10734, 4650, 692, 1038, 1582, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 11519, 8518, 548, 318, 28781, 9239, 825, 1219, 9041, 8518, 548, 318, 28781, 4311, 267, 2680, 2187, 1038, 5727, 21652, 956, 950, 519, 6345, 30390, 519, 16064, 27969, 454, 1038, 1948, 519, 4994, 540, 519, 3556, 538, 519, 16064, 454, 1038, 18921, 13448, 815, 2680, 11859, 12262, 595, 19181, 318, 310, 2839, 8025, 454, 1038, 18921, 14729, 815, 2680, 13885, 12262, 595, 19181, 318, 4047, 20846, 454, 1038, 1582, 4877, 1157, 6831, 731, 17301, 4433, 14309, 14729, 265, 1345, 8542, 636, 15058, 22674, 338, 266, 338, 14309, 13448, 4917, 13872, 825, 1219, 2721, 6831, 731, 4311, 267, 3556, 267, 18921, 2187, 1038, 8173, 1038, 8571, 513, 3556, 538, 519, 2016, 18921, 593, 519, 3349, 780, 1038, 30352, 912, 2018, 3556, 630, 25205, 2567, 634, 3556, 547, 2721, 547, 519, 3349, 563, 2018, 18921, 630, 842, 2567, 634, 2990, 593, 519, 3349, 547, 2721, 519, 3556, 780, 1038, 16849, 912, 2018, 630, 25205, 8698, 2567, 634, 3556, 2070, 6537, 693, 519, 18921, 585, 513, 2016, 3556, 563, 1038, 8173, 1038, 2451, 318, 2515, 815, 630, 338, 14309, 260, 1345, 8542, 636, 15058, 22674, 338, 264, 2608, 1582, 269, 4752, 3553, 13448, 454, 1038, 1283, 318, 2515, 815, 2979, 269, 28776, 4433, 14309, 270, 1345, 8542, 636, 15058, 22674, 338, 264, 2608, 1582, 269, 4752, 3553, 14729, 692, 1038, 1582, 6983, 1841, 314, 338, 14309, 316, 815, 9315, 8698, 4311, 267, 3556, 267, 2451, 318, 2515, 267, 1283, 318, 2515, 2020, 1038, 2132, 1582, 6983, 1841, 314, 338, 14309, 6540, 825, 1219, 2721, 4311, 267, 3349, 267, 1397, 18989, 2187, 1038, 8173, 1038, 8571, 519, 6486, 1759, 540, 519, 1239, 538, 513, 2016, 3349, 3236, 780, 1038, 20368, 2678, 912, 2018, 3349, 630, 8368, 2567, 634, 1699, 3349, 547, 2721, 563, 2018, 1397, 630, 321, 944, 2567, 6787, 519, 6486, 1058, 581, 10268, 610, 711, 563, 1038, 8173, 1038, 1948, 759, 1125, 519, 17198, 547, 3514, 782, 519, 6486, 538, 519, 16064, 454, 1038, 1582, 269, 637, 1125, 12759, 6025, 762, 10947, 290, 1841, 3890, 4297, 258, 1372, 1188, 10947, 318, 26920, 31156, 1038, 585, 1775, 267, 3556, 538, 26246, 6025, 762, 10947, 290, 1841, 3890, 2187, 2018, 1582, 6155, 3863, 6831, 731, 6262, 731, 267, 1775, 994, 2018, 1948, 1613, 269, 1042, 3863, 6262, 731, 952, 1397, 3116, 7183, 2020, 825, 1219, 759, 1125, 4311, 267, 2450, 2187, 1038, 8173, 1038, 12433, 519, 7516, 2838, 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 ]
[ 594, 1131, 899, 547, 4063, 602, 713, 1592, 568, 711, 29882, 269, 1452, 616, 1175, 519, 1292, 21339, 585, 1101, 5351, 547, 519, 4677, 538, 519, 2680, 540, 17061, 540, 3676, 543, 10860, 269, 1280, 519, 2126, 543, 16701, 1709, 540, 22074, 267, 1896, 5061, 609, 1114, 3742, 6878, 949, 581, 2838, 267, 799, 786, 723, 547, 581, 1031, 3124, 2299, 547, 3035, 5021, 2164, 269, 0, 1103, 519, 4583, 14799, 512, 8463, 7401, 4603, 676, 17241, 17384, 267, 519, 14799, 568, 5483, 540, 875, 1082, 5144, 23867, 270, 974, 320, 23867, 11680, 972, 616, 630, 275, 585, 1142, 856, 540, 476, 279, 11680, 1040, 901, 24947, 519, 6378, 8589, 2698, 13429, 540, 17384, 779, 3169, 1449, 563, 296, 729, 31935, 3257, 713, 1449, 609, 1250, 3659, 267, 855, 519, 2219, 13351, 803, 269, 1403, 519, 14799, 666, 2731, 2995, 519, 3017, 1063, 5144, 23867, 543, 7401, 23867, 11680, 267, 1352, 1058, 581, 2111, 547, 4137, 856, 8589, 9103, 1023, 540, 519, 5144, 23867, 270, 974, 320, 23867, 11680, 607, 1134, 607, 799, 3283, 616, 799, 563, 3383, 1934, 568, 519, 2243, 281, 1548, 1449, 1223, 723, 1044, 1031, 952, 17241, 17384, 22821, 1406, 5483, 519, 14799, 540, 519, 2698, 1297, 540, 5144, 23867, 543, 7401, 23867, 11680, 888, 5278, 1131, 8044, 602, 1256, 952, 519, 2034, 14345, 568, 711, 6378, 676, 1374, 267, 621, 11438, 2370, 1344, 827, 519, 14799, 779, 2702, 547, 5806, 3729, 630, 328, 4318, 269, 621, 779, 5111, 606, 322, 16736, 264, 1299, 1058, 581, 31411, 593, 269, 634, 3169, 14955, 6463, 1449, 630, 14140, 6069, 676, 4446, 333, 731, 264, 568, 811, 7294, 1317, 596, 723, 547, 5173, 519, 31062, 533, 17032, 936, 782, 2009, 2418, 540, 513, 562, 7572, 766, 9936, 267, 642, 714, 519, 1455, 12672, 537, 25651, 5506, 896, 519, 14275, 8367, 269, 2859, 5063, 267, 21924, 519, 533, 17032, 936, 513, 6015, 8884, 585, 519, 562, 7572, 766, 9936, 814, 1044, 6069, 281, 1294, 19161, 518, 630, 1960, 277, 1070, 968, 5415, 5295, 995, 18873, 689, 30151, 3955, 1998, 533, 18880, 5608, 634, 1977, 6465, 2065, 1014, 267, 476, 2004, 267, 476, 275, 282, 3169, 4255, 2348, 519, 2953, 2450, 666, 581, 9112, 1210, 713, 2856, 563, 293, 8718, 779, 1401, 716, 4530, 849, 14340, 607, 513, 4351, 1436, 1449, 267, 538, 3798, 3101, 2023, 779, 2631, 281, 513, 4351, 7084, 540, 519, 8097, 5574, 2636, 519, 3892, 540, 519, 1449, 18802, 936, 32545, 540, 891, 10467, 547, 581, 1031, 547, 1449, 519, 14275, 8367, 269, 769, 713, 1935, 519, 14799, 779, 1999, 5209, 616, 2808, 607, 6378, 630, 261, 519, 8589, 9103, 1023, 540, 5144, 23867, 543, 7401, 23867, 11680, 616, 540, 1576, 12873, 676, 32089, 1040, 0, 2467, 616, 1082, 6527, 585, 16715, 1973, 4006, 2157, 267, 689, 10464, 21447, 547, 2413, 7378, 538, 2027, 3457, 269, 3143, 835, 3217, 971, 5061, 1175, 899, 602, 269, 901, 568, 519, 1034, 1271, 1448, 538, 519, 2126, 540, 3987, 22577, 267, 513, 2068, 602, 568, 2404, 609, 5409, 16744, 20945, 269, 769, 513, 2635, 1268, 267, 1973, 4006, 2157, 616, 3833, 3586, 543, 1058, 711, 979, 3564, 1978, 7182, 267, 7488, 540, 5712, 540, 4189, 610, 14000, 563, 2414, 2226, 707, 1072, 543, 2119, 547, 1852, 707, 3987, 267, 930, 6527, 616, 4847, 538, 4516, 269, 5047, 267, 789, 616, 1419, 11311, 676, 7189, 543, 5227, 585, 946, 1317, 741, 8062, 543, 1246, 5346, 2164, 609, 1004, 723, 3254, 741, 7145, 269, 898, 568, 606, 3606, 1907, 538, 25680, 3871, 602, 666, 15983, 1118, 1919, 1732, 269, 2913, 779, 5490, 883, 713, 1888, 538, 811, 1469, 563, 1432, 3657, 4144, 12185, 5709, 725, 888, 763, 2243, 568, 3833, 7294, 267, 855, 1271, 269, 4495, 538, 519, 1560, 267, 5061, 5305, 3742, 6675, 602, 616, 12842, 538, 519, 16892, 676, 519, 4031, 540, 2241, 18236, 1107, 1175, 607, 5567, 689, 1426, 616, 12842, 269, 3245, 519, 16892, 267, 519, 1973, 11438, 519, 5061, 547, 519, 6797, 269, 901, 568, 875, 519, 1480, 30057, 1062, 1568, 269, 769, 2489, 267, 11955, 616, 513, 1907, 543, 606, 3606, 3310, 538, 519, 1184, 540, 19620, 519, 1062, 543, 519, 1560, 540, 519, 1367, 563, 2005, 568, 7543, 547, 3313, 519, 1655, 3075, 269, 13518, 849, 5673, 593, 519, 3461, 269, 769, 1931, 547, 1205, 519, 1198, 540, 2921, 6527, 267, 711, 1152, 519, 4387, 814, 547, 3442, 519, 1318, 20786, 543, 9192, 873, 267, 1491, 883, 2272, 4220, 689, 519, 14401, 267, 2295, 267, 543, 32435, 885, 269, 589, 1268, 568, 2838, 547, 1689, 1010, 6197, 267, 4189, 6208, 267, 3635, 267, 6895, 7280, 2157, 3232, 267, 1832, 513, 19701, 267, 1246, 513, 2732, 563, 1432, 24391, 6435, 6513, 12128, 888, 763, 3804, 540, 2921, 6527, 568, 547, 1832, 7280, 2157, 1369, 513, 1978, 2039, 540, 2418, 269, 2311, 519, 1482, 942, 267, 1932, 1970, 4006, 666, 581, 1175, 607, 968, 327, 1301, 995, 892, 607, 513, 1164, 835, 269, 634, 3059, 12939, 568, 5462, 676, 519, 1439, 4531, 514, 6048, 269, 2991, 519, 1376, 540, 2126, 972, 949, 581, 513, 1279, 1259, 547, 3442, 519, 6099, 3797, 267, 1317, 519, 2164, 616, 11117, 1152, 1310, 476, 274, 3275, 676, 2079, 269, 901, 1590, 849, 581, 3144, 883, 2272, 563, 1103, 519, 2250, 267, 950, 972, 729, 1100, 2126, 585, 3987, 22577, 267, 1310, 513, 1906, 1296, 540, 4576, 267, 513, 27520, 29403, 2670, 635, 320, 1223, 1020, 543, 519, 1268, 1131, 5884, 269, 4653, 267, 972, 616, 7864, 543, 7864, 971, 2665, 267, 543, 6527, 616, 4543, 547, 1832, 4006, 2157, 689, 8375, 547, 1272, 18446, 2157, 269, 24930, 543, 2550, 616, 6849, 513, 1007, 4161, 281, 547, 8488, 519, 1646, 540, 8374, 543, 547, 10804, 1272, 607, 1454, 607, 2009, 563, 8489, 2052, 1411, 16179, 12128, 5709, 1149, 538, 4516, 888, 2026, 585, 519, 6718, 540, 11955, 538, 519, 3148, 267, 540, 1576, 267, 971, 2962, 568, 5340, 1152, 593, 519, 13310, 540, 7189, 269, 6969, 596, 666, 1205, 1022, 1587, 267, 596, 786, 991, 606, 6514, 676, 513, 11285, 543, 513, 1880, 13310, 269, 1306, 1279, 607, 596, 2743, 782, 519, 2175, 267, 596, 666, 16155, 6718, 6646, 538, 4516, 269, 1411, 666, 798, 713, 693, 2199, 7966, 9313, 269, 2334, 568, 267, 596, 723, 519, 4781, 540, 2469, 547, 513, 2168, 4558, 538, 519, 4087, 1141, 596, 1745, 1034, 6899, 269, 634, 22639, 593, 519, 5544, 786, 581, 2111, 547, 3391, 596, 269, 769, 1082, 2081, 621, 568, 513, 6899, 3070, 269, 1809, 972, 568, 1776, 2427, 547, 621, 563, 2252, 596, 1616, 547, 6718, 593, 519, 5769, 267, 585, 1383, 267, 4444, 4619, 334, 5633, 2228, 267, 596, 666, 1205, 513, 2298, 1587, 269, 4653, 267, 5691, 8637, 723, 1831, 513, 2731, 2027, 1747, 1141, 596, 666, 1265, 4376, 689, 519, 4313, 540, 707, 4055, 269, 1411, 1100, 3476, 723, 547, 979, 547, 7966, 9313, 547, 1265, 856, 610, 4444, 1945, 269, 2353, 596, 723, 547, 798, 568, 3643, 741, 1357, 22045, 543, 3442, 519, 2472, 602, 1719, 596, 269, 1403, 1945, 568, 856, 540, 6006, 267, 596, 786, 581, 5483, 950, 621, 786, 581, 25579, 1639, 269, 901, 568, 513, 1390, 4316, 547, 581, 5985, 543, 267, 952, 4376, 267, 1265, 513, 10375, 942, 547, 4444, 610, 5838, 519, 12349, 5370, 563, 8802, 1637, 540, 519, 22312, 540, 5709, 1149, 538, 4516, 454, 763, 8225, 3782, 1062, 568, 1318, 569, 2808, 835, 540, 519, 1655, 538, 519, 1158, 269, 5047, 267, 713, 2197, 814, 513, 3810, 2919, 14453, 2872, 543, 568, 835, 540, 519, 1158, 3401, 538, 4791, 1382, 269, 769, 2487, 1296, 267, 2518, 14453, 543, 24684, 3549, 723, 2799, 741, 5092, 538, 4081, 1382, 269, 898, 568, 849, 8716, 602, 1022, 2962, 1644, 547, 519, 6718, 540, 11955, 267, 2687, 547, 519, 1876, 267, 568, 5645, 856, 609, 513, 4387, 779, 13310, 563, 22746, 15416, 723, 1044, 2919, 4481, 547, 2061, 1004, 689, 31362, 2933, 610, 1866, 269, 634, 1533, 568, 849, 538, 519, 1184, 540, 26004, 543, 21130, 1585, 12014, 547, 14458, 519, 1184, 540, 15725, 6455, 547, 1118, 513, 811, 15028, 2344, 1369, 519, 2197, 269, 1403, 596, 1413, 693, 15231, 2477, 267, 1256, 1004, 538, 519, 2136, 2276, 267, 585, 1383, 267, 6140, 4444, 741, 11955, 689, 4516, 267, 1317, 519, 14499, 267, 6765, 267, 543, 7145, 540, 519, 2472, 616, 2212, 543, 17525, 1657, 741, 2199, 1919, 269, 6270, 1806, 6961, 602, 519, 2197, 568, 3001, 538, 519, 1318, 4287, 563, 2026, 513, 1267, 267, 621, 1058, 581, 7074, 602, 3987, 6646, 568, 1360, 1271, 269, 1358, 948, 1004, 945, 723, 519, 2068, 547, 11883, 609, 519, 2589, 267, 2087, 741, 2783, 267, 543, 1847, 593, 609, 741, 2729, 269, 901, 568, 606, 1271, 3815, 269, 4516, 568, 2324, 2182, 547, 2327, 602, 972, 568, 3586, 543, 796, 5793, 32152, 1569, 547, 6527, 269, 1763, 6342, 540, 519, 3148, 267, 543, 711, 1152, 267, 666, 4444, 971, 2472, 1152, 1310, 513, 4387, 779, 13310, 269, 901, 568, 2854, 538, 2199, 1876, 269, 634, 1292, 3804, 568, 547, 4688, 1004, 689, 13311, 32333, 269, 0, 763, 2832, 540, 713, 1353, 568, 547, 1020, 2409, 585, 6044, 543, 6268, 547, 1118, 10453, 6536, 7907, 543, 5759, 538, 12980, 1565, 269, 1677, 3035, 713, 3804, 267, 1614, 3688, 7282, 7907, 543, 5759, 941, 5693, 3989, 538, 713, 1353, 269, 3973, 267, 519, 21496, 19875, 729, 3964, 543, 4843, 547, 10453, 607, 834, 728, 531, 2592, 257, 547, 1118, 873, 6857, 540, 621, 269, 11374, 891, 3268, 267, 14769, 6268, 593, 10453, 262, 21641, 543, 8989, 10467, 729, 5342, 1210, 519, 19875, 607, 7355, 540, 6268, 269, 769, 1840, 267, 606, 14292, 1505, 547, 2743, 519, 2175, 585, 1614, 7907, 543, 5759, 729, 2919, 543, 2322, 538, 2259, 269, 1306, 513, 1267, 267, 10453, 262, 4656, 540, 1346, 7907, 543, 5759, 941, 8476, 898, 666, 581, 18505, 1042, 602, 713, 12343, 3357, 689, 519, 2834, 6388, 540, 14769, 6268, 543, 5955, 547, 10453, 1759, 593, 2079, 540, 6268, 547, 873, 538, 3450, 269, 2859, 3573, 1353, 547, 6318, 4656, 540, 7907, 543, 5759, 543, 547, 1020, 2500, 1582, 3887, 1998, 6672, 4667, 2877, 20480, 540, 713, 1353, 2303, 547, 6318, 10453, 262, 4656, 540, 7907, 543, 5759, 543, 547, 1020, 2500, 1582, 3887, 1998, 6672, 538, 2104, 2090, 269, 0, 307, 21310, 17533, 4551, 3132, 11522, 2389, 3419, 23355, 11140, 454, 763, 4551, 602, 2014, 519, 14686, 5761, 2068, 21061, 2408, 547, 7520, 741, 1378, 3262, 676, 6721, 513, 11140, 602, 12153, 11522, 267, 513, 1007, 1353, 3366, 676, 29031, 3162, 13523, 6481, 4741, 3173, 2982, 269, 634, 4681, 267, 3370, 2228, 2221, 267, 538, 8426, 267, 1223, 1291, 547, 1007, 2081, 547, 2061, 519, 3262, 540, 21061, 267, 799, 568, 3743, 585, 519, 2669, 540, 811, 982, 476, 272, 269, 276, 2929, 1004, 829, 1032, 5001, 269, 3367, 2859, 593, 519, 772, 4811, 310, 5240, 13505, 454, 10144, 723, 1634, 2094, 3504, 2053, 602, 23472, 568, 513, 3119, 10835, 540, 21061, 543, 602, 11522, 2636, 585, 519, 3262, 540, 2068, 689, 1268, 547, 1268, 269, 1717, 267, 519, 2014, 540, 21061, 5829, 11522, 338, 814, 1044, 15458, 3081, 1353, 6205, 7812, 1744, 559, 2129, 267, 631, 6185, 1421, 1912, 6185, 1421, 606, 12314, 7548, 538, 772, 4811, 310, 779, 4972, 540, 18378, 6925, 779, 10406, 540, 29956, 8376, 543, 4972, 540, 31814, 269, 634, 17888, 8367, 814, 1044, 602, 23472, 568, 15427, 676, 3968, 14001, 5761, 16698, 543, 6553, 267, 855, 713, 814, 2760, 1044, 17046, 569, 9863, 563, 4537, 559, 2129, 543, 1010, 9164, 1185, 513, 1114, 2856, 281, 1358, 1179, 4327, 602, 519, 9190, 8665, 602, 3123, 21061, 267, 29901, 14385, 1756, 21061, 267, 3294, 1522, 3132, 513, 6219, 602, 12153, 13285, 538, 519, 21572, 3743, 585, 4929, 2576, 609, 519, 2068, 547, 11522, 267, 7551, 3850, 585, 18640, 540, 2068, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 2883, 1686, 9789, 2362, 707, 6060, 568, 267, 519, 1732, 2474, 543, 2175, 32225, 616, 2693, 547, 2709, 269, 2201, 519, 16212, 2427, 267, 513, 2539, 5491, 6060, 1223, 1291, 547, 3908, 3681, 610, 2362, 1719, 3928, 563, 21430, 2386, 707, 5491, 1867, 3568, 4977, 1344, 568, 1883, 585, 5329, 707, 5491, 6060, 538, 1434, 3337, 269, 3958, 267, 9878, 12014, 593, 942, 666, 948, 2087, 610, 2226, 707, 6060, 607, 1134, 607, 4688, 596, 2724, 936, 942, 269, 589, 1906, 3735, 11033, 1934, 543, 972, 1522, 3100, 5634, 689, 4090, 547, 4090, 267, 855, 789, 666, 1039, 909, 3533, 267, 865, 621, 781, 1271, 711, 547, 26777, 873, 563, 763, 476, 276, 595, 338, 540, 15894, 454, 299, 11367, 946, 513, 1062, 1572, 519, 476, 276, 595, 338, 540, 15894, 547, 2708, 1981, 543, 547, 15378, 519, 5491, 10290, 1465, 540, 1761, 10210, 619, 269, 634, 476, 276, 595, 338, 616, 607, 5205, 912, 2691, 3168, 693, 891, 3334, 267, 32225, 9260, 873, 1996, 519, 2175, 540, 519, 10211, 538, 606, 3801, 547, 3313, 519, 1981, 540, 23831, 547, 519, 10210, 518, 543, 519, 7872, 540, 2883, 2530, 547, 519, 561, 2658, 269, 3962, 540, 519, 476, 276, 595, 338, 4249, 513, 1909, 538, 707, 5491, 6060, 267, 543, 1620, 1018, 789, 1611, 666, 948, 596, 2708, 519, 4222, 540, 707, 2883, 7555, 563, 23322, 568, 606, 1271, 3815, 950, 621, 2501, 547, 12570, 5491, 10290, 1465, 269, 700, 11367, 1413, 693, 707, 2250, 1686, 540, 9878, 22440, 593, 942, 267, 607, 1134, 607, 707, 2949, 5491, 1686, 267, 547, 6218, 707, 5491, 1981, 269, 1879, 32225, 5659, 1915, 267, 789, 1491, 883, 2272, 875, 9846, 596, 723, 6976, 12014, 538, 519, 2250, 543, 2436, 610, 711, 596, 723, 513, 3950, 2594, 540, 593, 6066, 11033, 269, 901, 666, 2709, 15260, 4269, 602, 513, 10210, 518, 786, 2611, 4096, 762, 538, 1065, 11691, 741, 10211, 269, 898, 781, 1271, 547, 1628, 513, 1434, 5491, 1686, 676, 1818, 11033, 593, 942, 543, 5883, 7963, 19100, 538, 1931, 547, 2333, 519, 8458, 540, 3478, 9516, 585, 2104, 12029, 563, 22479, 13369, 568, 606, 4879, 540, 707, 2702, 547, 23231, 1022, 12029, 610, 22440, 1631, 543, 538, 519, 2104, 269, 1879, 10442, 4390, 267, 32225, 1491, 883, 2272, 707, 4747, 267, 9276, 267, 543, 824, 22440, 269, 1358, 1413, 693, 707, 7963, 3562, 13867, 5223, 630, 291, 2316, 264, 547, 2708, 2436, 596, 666, 1483, 12264, 1118, 10211, 11033, 936, 606, 6905, 1974, 540, 942, 269, 634, 2489, 4341, 568, 602, 519, 2539, 707, 667, 2316, 267, 519, 1732, 8458, 596, 723, 540, 3478, 9516, 585, 513, 10211, 269, 2060, 20251, 12029, 267, 3335, 519, 5207, 667, 2316, 596, 666, 723, 543, 1869, 581, 9516, 609, 568, 476, 3393, 260, 1765, 2288, 621, 666, 4268, 689, 561, 2658, 547, 561, 2658, 269, 589, 1434, 5491, 1686, 5916, 609, 513, 1970, 667, 2316, 786, 2285, 10210, 619, 606, 6316, 950, 7311, 585, 2883, 2472, 971, 607, 12029, 543, 6180, 326, 1137, 563, 22479, 1388, 4016, 547, 1022, 6666, 610, 7221, 596, 723, 2139, 547, 2628, 585, 513, 10211, 610, 7963, 269, 901, 2882, 9806, 267, 9541, 267, 543, 824, 5277, 7221, 602, 666, 581, 1031, 547, 3382, 519, 1942, 540, 513, 10211, 269, 11109, 513, 1804, 3854, 9295, 676, 513, 10210, 518, 6971, 519, 4960, 540, 9949, 269, 1280, 1383, 267, 8380, 513, 1524, 8569, 593, 513, 2777, 666, 1205, 596, 811, 15028, 3928, 543, 2474, 585, 513, 10211, 267, 607, 1134, 607, 606, 4443, 13170, 1184, 269, 29615, 12930, 3854, 1797, 32225, 616, 811, 2693, 547, 1491, 593, 519, 1981, 3238, 538, 5356, 12029, 267, 543, 5491, 832, 4043, 547, 2070, 1346, 609, 3677, 5666, 540, 2139, 3854, 607, 1447, 19408, 10210, 619, 563, 17686, 8632, 568, 606, 10697, 602, 666, 581, 1031, 547, 5150, 513, 10211, 269, 901, 568, 2356, 1945, 15889, 899, 3959, 543, 952, 596, 616, 8572, 547, 23231, 519, 10211, 267, 519, 561, 2658, 666, 1491, 519, 32097, 547, 973, 19281, 741, 9271, 269, 7502, 8632, 568, 2838, 607, 851, 540, 513, 17956, 10211, 1765, 26074, 519, 1843, 585, 799, 596, 2461, 24228, 2724, 267, 971, 607, 26873, 585, 10081, 12029, 610, 5321, 585, 6180, 326, 1137, 1765, 338, 12883, 607, 519, 32097, 538, 2013, 540, 9949, 269, 11109, 32097, 2337, 2569, 519, 561, 2658, 781, 1981, 543, 1419, 9727, 707, 7029, 547, 5870, 707, 2883, 13800, 269, 769, 930, 2665, 267, 32225, 949, 2154, 10210, 619, 547, 2322, 930, 1106, 540, 2168, 3959, 909, 607, 32097, 547, 7413, 519, 1981, 2404, 609, 23831, 2724, 563, 30812, 1431, 3277, 547, 1022, 5007, 2188, 602, 949, 1860, 707, 2702, 547, 2628, 1394, 513, 10211, 610, 7963, 269, 901, 1223, 1331, 2242, 538, 519, 4346, 267, 2242, 538, 2123, 18083, 267, 519, 3259, 540, 942, 596, 4076, 1044, 693, 707, 2816, 267, 610, 824, 6397, 2621, 269, 1452, 2175, 1419, 2099, 4220, 585, 32225, 543, 5491, 832, 543, 1590, 581, 2808, 950, 12570, 519, 10171, 540, 2576, 6707, 1065, 11691, 513, 10211, 269, 18833, 1018, 2188, 666, 1860, 707, 5491, 10290, 1465, 543, 2348, 513, 4640, 538, 1747, 547, 4308, 609, 1022, 796, 656, 4602, 730, 2242, 538, 2175, 568, 1271, 950, 7311, 585, 513, 10211, 610, 824, 1826, 540, 5491, 563, 3963, 4197, 519, 476, 276, 595, 338, 568, 12830, 454, 8139, 519, 476, 276, 595, 338, 540, 15894, 568, 1271, 585, 4509, 513, 1434, 5491, 6060, 543, 17034, 1114, 2010, 540, 2883, 2472, 269, 898, 568, 16122, 547, 2327, 602, 707, 5491, 5359, 616, 4977, 543, 909, 547, 4266, 865, 602, 32225, 666, 1205, 606, 4977, 4605, 540, 707, 2883, 1686, 269, 18833, 1018, 32225, 1413, 693, 950, 1818, 3664, 827, 26587, 12029, 666, 948, 596, 2333, 707, 8458, 540, 3478, 9516, 543, 1118, 2386, 596, 2461, 538, 519, 1655, 2009, 2883, 2990, 563, 3528, 18997, 3054, 267, 596, 666, 1118, 5483, 3664, 950, 621, 2501, 547, 5883, 707, 18083, 543, 5491, 269, 1411, 666, 849, 1205, 513, 1732, 2856, 540, 707, 5491, 10290, 1465, 543, 1491, 3268, 547, 2087, 621, 952, 2556, 269, 4197, 519, 476, 276, 595, 338, 568, 4105, 547, 5265, 4383, 543, 2149, 707, 18083, 2221, 267, 607, 1134, 607, 1544, 585, 513, 5150, 2883, 2104, 563, 2252, 596, 723, 1022, 2055, 827, 707, 2883, 1072, 610, 519, 10211, 3498, 1184, 693, 7991, 3689, 15894, 5742, 267, 3346, 938, 16588, 15232, 24929, 693, 476, 3445, 275, 269, 30500, 269, 5952, 274, 278, 269, 0, 25369, 23420, 568, 1818, 519, 1158, 1413, 1732, 982, 2479, 1354, 269, 898, 779, 513, 1390, 1259, 547, 3247, 1210, 2757, 15989, 544, 12976, 2409, 543, 948, 18359, 1216, 543, 1648, 269, 3502, 1152, 602, 267, 855, 5841, 6371, 666, 849, 2087, 3106, 593, 10754, 543, 2427, 19789, 802, 269, 5841, 6371, 6830, 3288, 31335, 23014, 568, 606, 5140, 4199, 585, 713, 269, 1548, 616, 596, 7996, 585, 286, 5192, 3323, 2221, 543, 1294, 875, 5841, 6371, 666, 1118, 707, 1158, 513, 1732, 1747, 2336, 25369, 6371, 568, 513, 1826, 540, 2627, 602, 568, 2813, 547, 1413, 899, 519, 2666, 269, 898, 568, 1419, 1031, 538, 11614, 543, 824, 1857, 2127, 267, 543, 666, 581, 1336, 538, 1082, 1114, 5546, 543, 7306, 563, 2691, 5841, 6371, 568, 8704, 267, 621, 3335, 3340, 1447, 5826, 982, 2757, 2627, 2326, 269, 901, 1797, 602, 596, 666, 2972, 707, 9205, 2230, 3476, 267, 543, 602, 519, 2724, 596, 4688, 593, 5826, 786, 979, 513, 1279, 1259, 538, 5355, 707, 1272, 563, 1103, 1840, 547, 922, 2640, 585, 1857, 5624, 267, 5841, 6371, 666, 849, 581, 1031, 547, 2087, 1072, 2175, 269, 1879, 1031, 538, 4999, 609, 3635, 3937, 610, 25500, 17524, 23736, 267, 5841, 6371, 666, 948, 1004, 6336, 2597, 610, 2087, 741, 26176, 2088, 269, 769, 930, 2665, 267, 5841, 32005, 1256, 814, 2564, 3156, 1107, 585, 1383, 267, 621, 814, 1044, 3254, 547, 948, 2061, 1394, 1928, 543, 2569, 2566, 2157, 563, 1692, 14464, 23420, 2052, 13724, 2659, 5020, 454, 25369, 23420, 2052, 6435, 1411, 14970, 2859, 8605, 1947, 563, 25369, 32005, 666, 948, 596, 2661, 811, 1587, 1947, 676, 3246, 513, 811, 6899, 1604, 585, 960, 543, 1353, 269, 1280, 3236, 267, 950, 8704, 5265, 267, 5841, 32005, 666, 948, 2569, 2566, 2157, 543, 1118, 621, 4443, 547, 1445, 593, 4247, 693, 1688, 269, 769, 1840, 267, 5841, 32005, 666, 1683, 606, 322, 16736, 2640, 971, 607, 4824, 6217, 2175, 543, 1732, 4745, 1599, 563, 14454, 267, 5841, 32005, 6799, 1896, 1761, 2640, 602, 666, 2087, 707, 2298, 540, 1272, 268, 1312, 693, 960, 543, 1753, 269, 1403, 596, 2461, 5461, 538, 4946, 5841, 6371, 547, 707, 5251, 610, 4677, 267, 972, 616, 513, 3099, 540, 12478, 543, 3631, 2139, 547, 9290, 707, 2115, 630, 663, 6578, 1916, 5278, 540, 519, 2640, 540, 5841, 6371, 1331, 912, 1700, 898, 666, 948, 2569, 2825, 1764, 269, 14464, 6371, 568, 1419, 2813, 689, 13381, 2326, 267, 799, 2337, 547, 22120, 811, 7561, 982, 2757, 30120, 2409, 563, 1700, 14464, 6371, 666, 948, 2087, 519, 15287, 540, 8916, 543, 5656, 269, 1879, 972, 568, 1100, 2067, 10664, 1459, 267, 621, 666, 948, 2087, 8289, 572, 4370, 2833, 676, 4946, 513, 1377, 540, 17779, 547, 10207, 563, 1700, 14464, 32005, 949, 849, 581, 6225, 538, 2474, 540, 1072, 607, 621, 568, 1970, 538, 6070, 543, 3568, 1164, 2157, 540, 20249, 602, 616, 1271, 585, 1434, 12536, 269, 769, 1840, 267, 5841, 32005, 814, 1044, 3254, 547, 581, 1447, 5739, 547, 519, 1604, 982, 2757, 1876, 985, 543, 10651, 563, 1700, 14464, 32005, 814, 849, 1044, 3254, 547, 581, 1447, 14124, 547, 519, 2960, 982, 2757, 1876, 985, 543, 10651, 267, 799, 568, 513, 4324, 585, 1346, 945, 616, 6213, 547, 971, 2326, 563, 5194, 4324, 540, 5841, 32005, 568, 602, 621, 666, 948, 2569, 2825, 1764, 950, 1031, 538, 5251, 1374, 610, 6189, 269, 1879, 5841, 6371, 568, 1031, 607, 851, 540, 513, 5251, 267, 621, 666, 948, 2569, 519, 2179, 540, 1216, 602, 2115, 547, 581, 688, 27968, 1472, 538, 1931, 547, 2226, 519, 30120, 543, 922, 2934, 269, 3958, 267, 5841, 6371, 949, 849, 948, 2087, 8289, 572, 4370, 2833, 676, 4946, 513, 1377, 540, 17779, 547, 10207, 269, 769, 1840, 267, 5841, 32005, 814, 1044, 1336, 547, 581, 1447, 5739, 547, 519, 1604, 982, 2757, 1876, 985, 543, 10651, 593, 1082, 2157, 630, 10175, 593, 519, 2627, 1377, 1141, 621, 779, 8704, 1916, 3080, 1942, 540, 5841, 32005, 568, 602, 621, 568, 1419, 811, 7199, 982, 2067, 32005, 269, 769, 1931, 547, 1118, 5841, 6371, 3790, 10097, 267, 1082, 9755, 2119, 547, 946, 14949, 2326, 610, 2569, 519, 2298, 540, 741, 2472, 269, 1280, 1383, 267, 930, 5841, 1876, 985, 616, 1500, 689, 13381, 5068, 3079, 540, 1483, 21263, 610, 3762, 269, 6271, 1259, 3549, 723, 6836, 547, 4688, 2724, 593, 5841, 32005, 568, 676, 1210, 1970, 7779, 5820, 610, 676, 5663, 621, 538, 2477, 609, 1164, 5533, 2157, 563, 25369, 23420, 814, 519, 1761, 547, 1860, 1004, 779, 2729, 538, 1082, 2081, 269, 1280, 1383, 267, 952, 621, 2968, 811, 2442, 267, 1004, 1522, 711, 1745, 607, 6899, 7836, 942, 13964, 1317, 789, 1131, 1100, 3476, 581, 2111, 547, 2972, 519, 2067, 1604, 1472, 873, 630, 1721, 1383, 267, 4054, 543, 26965, 1040, 3958, 267, 1004, 945, 946, 5841, 32005, 1522, 1265, 2933, 9849, 856, 741, 10887, 5488, 982, 789, 1131, 952, 789, 941, 1210, 1483, 21263, 610, 3762, 593, 741, 1876, 985, 563, 25369, 23420, 568, 513, 3463, 547, 519, 1604, 543, 7199, 267, 855, 621, 814, 1761, 2640, 602, 1223, 2087, 1272, 593, 3618, 269, 1403, 596, 616, 5461, 538, 1565, 811, 827, 875, 5841, 6371, 1223, 948, 2087, 707, 1272, 267, 1224, 593, 2336, 25369, 23420, 18370, 540, 645, 992, 731, 454, 276, 6246, 272, 29036, 476, 1839, 628, 22971, 1948, 2004, 274, 321, 454, 293, 677, 5487, 31335, 23014, 267, 18919, 476, 18357, 5400, 454, 17490, 3143, 269, 2433, 476, 4817, 275, 268, 3445, 279, 268, 32133, 277, 0, 763, 10782, 12146, 538, 519, 1158, 568, 15720, 538, 1082, 1455, 3536, 269, 1772, 621, 538, 707, 20562, 787, 1318, 1631, 888, 271, 281, 876, 4985, 281, 634, 10782, 12146, 538, 519, 1158, 454, 271, 281, 2764, 1548, 568, 519, 29944, 4994, 888, 272, 281, 2412, 1548, 568, 519, 10782, 12146, 538, 519, 1158, 888, 274, 281, 7367, 6904, 3536, 2270, 28915, 1712, 868 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 982, 676, 9658, 1097, 267, 519, 4661, 814, 4503, 930, 540, 922, 5449, 8560, 269, 1323, 1383, 568, 623, 25897, 5950, 607, 2707, 3009, 267, 543, 3622, 9833, 630, 15290, 5265, 1031, 264, 607, 513, 4108, 17263, 6939, 4722, 269, 634, 2647, 8244, 540, 1164, 2298, 25563, 729, 23892, 547, 519, 2475, 2229, 267, 799, 4667, 547, 723, 1044, 1210, 513, 3354, 998, 2116, 2579, 2079, 547, 1489, 922, 11685, 547, 971, 960, 269, 11569, 267, 971, 7744, 568, 1360, 1419, 1031, 676, 17864, 543, 16984, 547, 17854, 4507, 799, 941, 2966, 547, 1852, 610, 3970, 1164, 2298, 25563, 1152, 547, 1346, 17101, 563, 8110, 2739, 610, 834, 684, 15842, 5287, 257, 3435, 1683, 3354, 267, 855, 2612, 565, 2373, 949, 581, 2352, 547, 3489, 269, 4014, 13461, 9003, 593, 3354, 998, 2116, 2579, 568, 513, 1360, 4057, 1374, 3375, 267, 5329, 5728, 930, 540, 519, 3877, 540, 606, 6382, 1134, 268, 19956, 1229, 1062, 949, 581, 513, 10257, 8671, 545, 607, 851, 540, 513, 8878, 538, 3178, 4640, 269, 1280, 1383, 267, 3354, 998, 2116, 2579, 949, 630, 8117, 3112, 581, 16798, 547, 264, 957, 607, 513, 10151, 834, 14588, 539, 29424, 257, 585, 31487, 1247, 513, 6571, 547, 513, 1634, 3354, 3390, 568, 8045, 269, 3371, 267, 519, 3804, 568, 3274, 547, 2569, 519, 2110, 24507, 1981, 540, 14226, 540, 513, 13438, 538, 519, 1292, 3334, 540, 519, 1062, 563, 20376, 12053, 998, 2116, 2579, 666, 849, 581, 1031, 547, 1711, 513, 1981, 602, 666, 3713, 610, 15658, 1761, 31487, 269, 1280, 1383, 267, 2015, 513, 2780, 3060, 602, 5526, 547, 8858, 513, 1634, 13438, 269, 19768, 532, 519, 3354, 11768, 540, 519, 3077, 267, 519, 30429, 1590, 2015, 2436, 547, 3801, 547, 17908, 519, 13438, 610, 711, 269, 1403, 519, 1062, 568, 1305, 547, 3713, 713, 13438, 267, 621, 786, 5431, 602, 621, 568, 896, 4323, 543, 666, 4431, 267, 2901, 676, 1327, 6362, 519, 1062, 1524, 2394, 1697, 16984, 723, 513, 4960, 547, 2746, 267, 676, 5464, 519, 4323, 543, 16439, 519, 1028, 841, 656, 267, 610, 676, 31028, 532, 519, 30429, 269, 634, 9759, 540, 713, 6240, 568, 602, 9870, 519, 942, 610, 1981, 3238, 267, 519, 30429, 568, 17792, 519, 1344, 2838, 547, 1118, 513, 4396, 1981, 3146, 1189, 3375, 827, 2436, 547, 4323, 538, 519, 1101, 1747, 563, 288, 14583, 540, 519, 8878, 538, 519, 3105, 5037, 568, 547, 723, 513, 5595, 2000, 9707, 540, 7020, 540, 519, 17908, 282, 1312, 540, 799, 616, 6854, 5728, 855, 835, 568, 4847, 547, 581, 834, 548, 8898, 2668, 634, 2856, 568, 547, 2285, 519, 30429, 513, 7301, 2631, 540, 6015, 602, 519, 2116, 2579, 814, 1044, 20114, 543, 17204, 269, 1323, 1383, 540, 1141, 713, 1131, 581, 1031, 568, 607, 851, 540, 513, 9932, 13607, 269, 769, 9444, 540, 891, 2665, 568, 972, 1022, 4890, 16126, 593, 2116, 2579, 585, 3354, 282, 891, 616, 5310, 1732, 17941, 2116, 2579, 536, 7159, 538, 606, 3742, 3354, 8878, 563, 4913, 267, 621, 666, 581, 11130, 602, 513, 18481, 1134, 21553, 921, 7757, 1062, 1759, 593, 3354, 998, 2116, 2579, 3274, 3587, 1776, 14583, 593, 513, 1883, 2861, 10325, 267, 609, 519, 21372, 3877, 540, 519, 1062, 9117, 607, 519, 5728, 1883, 1871, 563, 2467, 568, 513, 2489, 13618, 267, 1256, 1851, 1346, 945, 8044, 538, 3870, 540, 3354, 998, 2116, 2579, 267, 602, 3354, 998, 2116, 2579, 1058, 2760, 581, 1031, 607, 513, 3119, 3354, 2268, 269, 898, 568, 267, 693, 1655, 267, 513, 6281, 2268, 282, 543, 23930, 540, 519, 2116, 2579, 1058, 711, 1267, 538, 513, 14207, 563, 2304, 4122, 14092, 1061, 539, 1383, 540, 713, 568, 519, 6939, 4919, 20919, 540, 513, 10957, 4859, 1062, 269, 9701, 519, 1062, 581, 19847, 267, 1312, 519, 1592, 540, 519, 24290, 18538, 543, 519, 6070, 949, 581, 19847, 281, 538, 713, 2013, 267, 606, 30429, 786, 581, 2111, 547, 2196, 513, 8675, 4323, 1996, 519, 24290, 18538, 267, 543, 741, 3354, 786, 7048, 1152, 593, 519, 2298, 540, 519, 3593, 7302, 4923, 18538, 269, 7316, 519, 6070, 19356, 908, 5690, 568, 711, 19847, 267, 8675, 6285, 666, 1831, 1102, 29342, 1043, 267, 2016, 513, 1434, 2614, 814, 3107, 5690, 543, 6070, 269, 634, 25848, 3293, 6070, 267, 1287, 267, 949, 581, 2808, 513, 6281, 7400, 1883, 281, 18731, 621, 1281, 711, 4628, 14207, 519, 18538, 267, 855, 1281, 14020, 3354, 3648, 563, 1103, 25563, 1697, 267, 519, 4661, 1996, 3354, 676, 2116, 2579, 7389, 1394, 547, 693, 2547, 23715, 1188, 327, 26160, 262, 6240, 267, 2322, 8521, 538, 476, 6642, 274, 676, 4864, 324, 23715, 1188, 327, 26160, 269, 634, 6240, 6585, 602, 1374, 540, 513, 6939, 4919, 1062, 1058, 711, 2154, 9658, 1097, 543, 1058, 711, 2014, 834, 514, 935, 1597, 1466, 257, 952, 621, 8813, 883, 519, 3946, 540, 519, 10546, 269, 901, 6240, 814, 1044, 22950, 337, 1078, 538, 1896, 2081, 912, 763, 3152, 519, 1297, 540, 2798, 540, 14207, 538, 513, 1062, 267, 519, 3152, 519, 4960, 602, 606, 4323, 593, 835, 540, 1346, 2798, 540, 14207, 6818, 267, 610, 786, 581, 2919, 269, 7010, 799, 1331, 11580, 540, 1374, 610, 5106, 799, 616, 849, 2798, 540, 14207, 616, 1447, 5150, 982, 6697, 1949, 1510, 891, 2798, 540, 14207, 952, 519, 4674, 2838, 547, 3489, 519, 13438, 3361, 676, 519, 5728, 1374, 610, 1505, 540, 5106, 267, 543, 519, 4674, 547, 17908, 713, 13438, 568, 1447, 982, 519, 4674, 2838, 547, 3489, 519, 5728, 1883, 269, 634, 3354, 1377, 540, 519, 1062, 568, 1287, 4389, 547, 519, 4674, 2838, 547, 17908, 519, 13438, 563, 2690, 1383, 267, 952, 18825, 8637, 513, 22302, 1883, 896, 519, 798, 768, 520, 267, 538, 2013, 789, 616, 19526, 856, 540, 519, 2777, 267, 1287, 789, 616, 13461, 593, 3354, 998, 2116, 2579, 269, 634, 7811, 3354, 13438, 568, 602, 24455, 1223, 2736, 883, 519, 2777, 676, 30196, 519, 7450, 1210, 602, 22302, 1883, 269, 5015, 267, 2094, 3276, 6921, 1513, 1419, 917, 2693, 15720, 4025, 267, 519, 2777, 8227, 786, 1995, 3152, 1981, 540, 513, 3276, 6921, 776, 676, 15720, 519, 1883, 538, 713, 1259, 267, 2094, 519, 4674, 540, 4466, 519, 1883, 568, 2693, 547, 581, 1447, 4674, 547, 519, 3276, 6921, 541, 982, 8840, 538, 676, 1776, 1797, 269, 634, 8227, 814, 538, 1198, 3773, 513, 13438, 9789, 1249, 602, 519, 7127, 1883, 568, 6740, 896, 519, 798, 768, 520, 23121, 519, 1062, 267, 543, 835, 799, 568, 1360, 2653, 547, 7058, 543, 17908, 563, 1103, 519, 2250, 267, 1896, 6620, 267, 610, 3301, 1949, 609, 5728, 4835, 3877, 267, 723, 2938, 1346, 4835, 3877, 1831, 1857, 269, 6452, 1211, 531, 23930, 814, 5949, 1896, 2053, 267, 585, 3236, 538, 519, 8037, 2013, 540, 717, 15551, 14804, 29905, 12319, 1373, 8329, 547, 519, 2160, 540, 17659, 5112, 10714, 532, 547, 20818, 519, 8912, 22637, 4170, 907, 5015, 267, 16426, 723, 1044, 4362, 543, 23699, 538, 3301, 267, 1256, 950, 519, 4835, 3877, 7283, 5728, 269, 570, 2586, 1927, 267, 891, 543, 824, 1806, 2303, 602, 621, 568, 2352, 610, 23696, 547, 1832, 519, 3877, 540, 1949, 543, 6620, 5728, 563, 299, 19434, 781, 1876, 267, 602, 1082, 4064, 1118, 782, 12961, 13719, 267, 849, 5267, 4824, 3354, 585, 6620, 543, 10873, 4171, 3877, 616, 3370, 269, 2859, 1004, 666, 2689, 519, 3877, 540, 971, 6620, 267, 2697, 20924, 267, 543, 4368, 519, 20924, 19692, 269, 11330, 7859, 540, 713, 21169, 2503, 602, 519, 4908, 543, 10335, 540, 3354, 8332, 2478, 786, 581, 1447, 4049, 585, 1930, 982, 585, 28106, 610, 5728, 3301, 563, 25413, 2264, 799, 568, 22393, 5950, 607, 1930, 2707, 3112, 581, 1767, 547, 581, 13461, 593, 3354, 998, 2116, 2579, 630, 1492, 1374, 1373, 15597, 2139, 1070, 855, 621, 666, 18562, 849, 1995, 3354, 3181, 8163, 630, 324, 3052, 1421, 519, 24261, 21431, 540, 476, 2735, 279, 3262, 998, 930, 21372, 1765, 604, 4922, 7298, 547, 1346, 945, 536, 6139, 1042, 547, 1413, 1765, 341, 592, 1676, 3809, 1040, 1323, 4661, 3006, 1031, 1996, 1930, 21299, 3354, 568, 602, 9367, 4043, 547, 581, 1447, 25981, 827, 7900, 2620, 8039, 607, 789, 616, 827, 7700, 1007, 3009, 269, 6270, 960, 568, 3006, 2938, 607, 1447, 4277, 543, 1447, 15874, 676, 9905, 267, 2523, 952, 606, 2079, 267, 2705, 30190, 543, 942, 21791, 267, 1281, 711, 2490, 909, 1454, 540, 1719, 269, 10395, 1441, 609, 519, 1249, 602, 1930, 21299, 568, 13856, 676, 513, 2528, 540, 24749, 267, 519, 4661, 4422, 267, 3354, 3006, 11392, 1447, 9488, 2126, 982, 621, 1522, 538, 606, 1604, 538, 799, 3354, 8039, 941, 851, 540, 2576, 781, 2816, 6609, 563, 288, 14583, 540, 519, 2596, 1935, 568, 547, 7048, 593, 519, 3601, 630, 10175, 8726, 16426, 1522, 581, 1459, 264, 540, 513, 1587, 799, 568, 711, 4922, 7550, 267, 3976, 16715, 519, 23146, 540, 1346, 16426, 630, 29019, 789, 1831, 1634, 264, 1996, 4351, 610, 1256, 12747, 6285, 269, 901, 1281, 711, 4867, 2408, 547, 723, 513, 2582, 10747, 2165, 267, 834, 2381, 528, 640, 257, 1373, 519, 1034, 1455, 855, 834, 337, 10846, 2580, 834, 684, 16647, 983, 640, 2580, 834, 2675, 19062, 2580, 834, 331, 871, 540, 1719, 2580, 543, 1866, 849, 1373, 1031, 563, 1607, 14583, 568, 1034, 4122, 11402, 538, 3137, 540, 1946, 519, 1297, 540, 1634, 13438, 7518, 1080, 585, 2472, 609, 519, 4102, 2344, 2671, 11148, 547, 581, 2362, 982, 513, 5276, 2078, 547, 2344, 2671, 1131, 2303, 267, 855, 568, 849, 513, 3815, 538, 1587, 3903, 585, 930, 1804, 14540, 563, 20376, 12053, 998, 12102, 949, 581, 5363, 585, 14540, 945, 786, 711, 581, 1641, 547, 6098, 6285, 267, 11021, 519, 946, 540, 513, 1587, 538, 519, 1279, 2766, 269, 1717, 267, 4466, 513, 1007, 13438, 538, 513, 2344, 3056, 1587, 568, 2693, 9875, 982, 585, 21372, 2472, 267, 607, 519, 1970, 16304, 4829, 16426, 616, 811, 2693, 547, 723, 2907, 5828, 909, 267, 799, 949, 2303, 891, 2472, 616, 1732, 585, 14540, 945, 2503, 547, 4309, 1082, 6098, 6285, 269, 634, 3390, 568, 2417, 11821, 676, 519, 1249, 602, 1007, 16426, 538, 12102, 2472, 2014, 782, 1634, 3755, 540, 602, 630, 704, 4257, 3362, 4857, 264, 1587, 547, 1831, 9072, 269, 2060, 2344, 3056, 2472, 267, 519, 10171, 540, 1373, 14477, 6098, 609, 513, 1007, 13438, 3788, 3152, 563, 763, 2898, 3390, 568, 5702, 5532, 609, 267, 543, 538, 513, 2631, 5673, 2390, 267, 519, 4922, 1031, 2165, 3354, 998, 4763, 910, 519, 2647, 2039, 540, 834, 14075, 2766, 257, 12102, 2472, 568, 5693, 811, 3309, 982, 513, 519, 2344, 6205, 538, 1022, 1587, 1826, 267, 865, 513, 4351, 4323, 786, 581, 1447, 2693, 547, 8011, 563, 2467, 616, 20849, 2984, 827, 519, 5169, 540, 713, 2165, 269, 674, 753, 540, 20037, 781, 594, 4811, 2161, 621, 729, 22579, 538, 11685, 547, 5564, 923, 3755, 1524, 519, 10689, 267, 585, 7247, 3354, 729, 2484, 811, 606, 3390, 982, 593, 594, 4811, 269, 10738, 519, 594, 4811, 2528, 519, 2165, 5219, 267, 1582, 2173, 1442, 5944, 267, 547, 519, 4057, 3795, 540, 519, 12319, 543, 2116, 2579, 540, 1082, 12981, 267, 543, 547, 519, 10182, 602, 676, 519, 942, 513, 15805, 23125, 856, 875, 547, 1118, 8373, 646, 9364, 3622, 3893, 936, 519, 20882, 547, 1118, 621, 267, 1317, 646, 5433, 851, 540, 519, 2146, 563, 3080, 3236, 540, 20982, 3354, 998, 2116, 2579, 593, 594, 4811, 814, 1044, 7074, 281, 519, 4971, 547, 1450, 1273, 4221, 519, 4881, 594, 4811, 1062, 630, 5306, 332, 1712, 5621, 332, 1712, 1852, 7304, 264, 16079, 539, 607, 12361, 317, 291, 269, 11978, 532, 16816, 16816, 6513, 5937, 1305, 513, 9206, 602, 1131, 2061, 1273, 4221, 519, 1062, 1256, 952, 519, 3593, 2663, 3893, 621, 1318, 269, 0, 8450, 7923, 3758, 585, 2407, 7084, 3877, 563, 10112, 9892, 476, 272, 281, 11512, 2472, 18011, 8967, 698, 515, 1777, 3930, 10807, 1587, 540, 23720, 781, 7577, 563, 10112, 9892, 476, 273, 281, 7126, 5288, 269, 4317, 26930, 454, 8923, 1930, 519, 27589, 585, 519, 3877, 540, 519, 10467, 563, 8967, 698, 515, 1777, 3930, 568, 513, 838, 698, 515, 26152, 1587, 799, 568, 3812, 676, 513, 2754, 1634, 607, 23720, 269, 634, 1587, 568, 6653, 2989, 543, 27574, 543, 729, 5189, 883, 519, 2754, 1394, 538, 519, 1032, 476, 3422, 276, 630, 4467, 11952, 18554, 267, 476, 1001, 273, 1040, 901, 1587, 729, 5189, 883, 519, 2754, 1310, 513, 1382, 729, 5645, 856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 2004, 2367, 267, 2021, 543, 1453, 547, 21704, 593, 5181, 476, 275, 267, 476, 6642, 277, 693, 28024, 13987, 24258, 267, 14151, 563, 7197, 540, 519, 1576, 540, 519, 5757, 568, 998, 519, 4190, 543, 9867, 8916, 540, 9456, 23497, 267, 1519, 519, 26280, 826, 5211, 24258, 267, 519, 26280, 826, 5211, 9397, 267, 519, 12566, 15113, 540, 7013, 23497, 267, 543, 519, 855, 5052, 543, 26377, 602, 941, 19497, 519, 1753, 540, 5318, 27436, 31459, 540, 1977, 645, 2581, 563, 7197, 16113, 1498, 267, 28615, 661, 269, 2398, 3430, 24603, 476, 276, 267, 476, 277, 3953, 14143, 630, 476, 2537, 5998, 11054, 16532, 799, 3769, 21025, 8636, 4459, 24258, 267, 547, 519, 2817, 5244, 6796, 267, 8108, 519, 4295, 540, 519, 2871, 611, 2728, 701, 15142, 2817, 5244, 563, 7197, 540, 519, 21272, 941, 20024, 538, 3636, 13719, 15798, 543, 2282, 6879, 648, 5054, 630, 971, 607, 17822, 543, 2220, 10102, 3738, 607, 519, 694, 1662, 648, 14578, 4359, 543, 1427, 8972, 936, 519, 6316, 540, 513, 1486, 334, 9539, 2180, 3013, 630, 585, 1469, 267, 1294, 20569, 540, 519, 9835, 24258, 1858, 30155, 763, 7404, 9791, 670, 1961, 19351, 747, 568, 12183, 24887, 607, 834, 634, 2622, 781, 4107, 667, 836, 2730, 667, 1516, 13505, 29038, 543, 24258, 616, 18368, 4583, 4685, 9634, 563, 7197, 6288, 8436, 12446, 676, 18914, 543, 2070, 24258, 632, 595, 3559, 569, 689, 519, 26079, 267, 1739, 1312, 3345, 681, 574, 20000, 543, 3162, 681, 574, 20000, 563, 7197, 540, 519, 666, 27267, 568, 1369, 519, 24258, 20463, 681, 9734, 10588, 540, 519, 17619, 2817, 11206, 267, 799, 568, 2212, 32483, 1229, 538, 7404, 10783, 19811, 563, 7197, 540, 519, 17375, 1570, 1336, 538, 519, 1292, 666, 27267, 729, 4440, 1500, 538, 519, 1164, 4133, 267, 4352, 621, 568, 2009, 930, 20341, 729, 14475, 538, 13722, 3794, 523, 24258, 563, 763, 2511, 540, 959, 1380, 1532, 16466, 3254, 568, 6093, 540, 9576, 23910, 1374, 269, 4107, 3723, 6808, 689, 700, 650, 5622, 564, 547, 519, 2961, 756, 5622, 2705, 267, 4682, 676, 519, 834, 5211, 20417, 14307, 2484, 2630, 519, 530, 6782, 4155, 267, 799, 8977, 539, 519, 2605, 6471, 24258, 693, 623, 822, 559, 542, 585, 519, 14869, 18214, 936, 623, 822, 559, 542, 13738, 547, 22735, 267, 1141, 621, 24673, 609, 519, 18960, 2961, 756, 5622, 10003, 3842, 23171, 543, 12891, 23145, 1111, 630, 2899, 519, 8545, 8905, 729, 6192, 267, 602, 568, 30155, 7197, 5063, 17880, 11169, 24258, 729, 4857, 607, 1141, 513, 12638, 6408, 5030, 593, 519, 7641, 3126, 634, 1849, 29141, 563, 7197, 543, 2817, 454, 763, 11683, 13477, 28473, 4107, 966, 16191, 26761, 13815, 630, 631, 29262, 3738, 568, 606, 5993, 11683, 13477, 28473, 630, 16066, 289, 3738, 8366, 267, 2016, 547, 835, 14222, 6345, 538, 519, 1977, 13477, 543, 835, 538, 519, 2817, 13477, 563, 7197, 8828, 23837, 543, 2817, 23837, 7249, 2958, 725, 267, 676, 4334, 267, 3622, 9305, 811, 5702, 547, 5007, 2516, 971, 607, 5692, 8041, 543, 3872, 5238, 982, 798, 1346, 540, 4830, 30373, 563, 7197, 540, 519, 7103, 6394, 941, 2241, 267, 2571, 1606, 17850, 539, 585, 3133, 32070, 630, 476, 28242, 2249, 2687, 547, 2817, 22127, 16532, 609, 2185, 540, 519, 1866, 8204, 2249, 540, 519, 1950, 267, 3818, 7302, 3711, 1229, 25281, 2274, 696, 2129, 4519, 543, 1234, 2684, 1314, 563, 307, 5300, 2692, 781, 476, 4350, 280, 4550, 21351, 3209, 267, 3627, 5500, 20944, 3571, 25511, 267, 4465, 835, 540, 519, 2038, 2817, 3883, 22952, 281, 519, 4107, 22731, 3883, 540, 476, 4350, 280, 563, 7197, 16113, 267, 519, 476, 3192, 279, 18792, 4670, 2817, 700, 2086, 3019, 781, 10960, 5600, 729, 1071, 27787, 676, 18281, 16019, 1412, 476, 8287, 267, 543, 568, 1759, 29101, 593, 513, 3126, 540, 2984, 646, 5206, 827, 1010, 9992, 24471, 2395, 693, 667, 691, 17625, 563, 3891, 729, 5697, 585, 3670, 15654, 2353, 21178, 541, 10632, 689, 476, 3707, 280, 547, 476, 4198, 275, 267, 729, 519, 18579, 540, 519, 22305, 1116, 16066, 289, 681, 809, 773, 540, 519, 5729, 13815, 538, 476, 3707, 278, 267, 543, 4465, 519, 2817, 13477, 4107, 966, 16191, 26761, 13815, 538, 476, 3707, 280, 2443, 519, 1101, 3109, 6345, 865, 28165, 563, 13051, 577, 267, 513, 476, 1691, 6066, 2353, 21178, 541, 5542, 543, 513, 1079, 6066, 2817, 13477, 4107, 966, 16191, 26761, 267, 729, 513, 1883, 4759, 540, 634, 8262, 4414, 10724, 267, 799, 4465, 3670, 6498, 10643, 267, 2185, 2817, 13477, 30779, 1218, 267, 543, 1079, 2622, 10022, 23594, 4721, 563, 13195, 5484, 577, 781, 20923, 8579, 4005, 6902, 646, 2968, 519, 21836, 812, 630, 476, 2420, 3738, 547, 3094, 519, 2817, 13477, 4107, 966, 16191, 26761, 13815, 267, 5734, 269, 476, 27840, 267, 3366, 519, 2817, 13477, 609, 476, 3393, 1753, 8255, 543, 513, 29929, 29627, 867, 476, 16825, 681, 12584, 10627, 1540, 538, 267, 543, 5280, 519, 681, 2644, 3094, 519, 2817, 13477, 4639, 10406, 563, 13051, 577, 1185, 1776, 2178, 1032, 538, 476, 3192, 273, 267, 1586, 10888, 519, 4107, 966, 16191, 26761, 13815, 543, 3056, 519, 2817, 13477, 538, 1753, 8255, 630, 476, 2412, 3738, 543, 681, 10292, 630, 476, 10219, 16532, 547, 948, 4412, 601, 519, 681, 2644, 547, 1776, 2817, 13477, 4639, 10406, 2140, 267, 543, 513, 2947, 3766, 877, 11802, 936, 519, 29016, 623, 29521, 538, 519, 476, 3192, 273, 2817, 13477, 29073, 1222, 10022, 563, 1103, 1010, 4876, 267, 5484, 577, 12236, 476, 1015, 7108, 3794, 7174, 267, 729, 3957, 547, 519, 2817, 13477, 2353, 21178, 541, 2319, 476, 1691, 2053, 267, 543, 4465, 1079, 4107, 966, 16191, 26761, 22952, 563, 7197, 4571, 342, 1161, 960, 1369, 519, 2817, 2657, 6796, 267, 3246, 1312, 6413, 543, 2146, 1416, 267, 855, 513, 1713, 8167, 960, 10446, 267, 3246, 2698, 1416, 585, 741, 7218, 1369, 513, 2146, 4259, 563, 2690, 1010, 4674, 267, 646, 8737, 3791, 538, 519, 476, 1220, 278, 2817, 13477, 4107, 966, 16191, 26761, 13359, 267, 21959, 1359, 476, 29257, 2698, 2798, 1519, 476, 276, 1101, 1747, 16018, 563, 15239, 11383, 267, 519, 2817, 11565, 585, 19866, 27264, 3957, 519, 8187, 6229, 338, 1744, 648, 2138, 601, 8664, 538, 1715, 14948, 538, 922, 476, 1220, 277, 1592, 540, 3013, 781, 4107, 29510, 19866, 23089, 543, 3769, 519, 19866, 27953, 476, 5780, 7763, 1564, 689, 13325, 547, 4993, 593, 922, 476, 1220, 278, 1592, 563, 7197, 16113, 4258, 619, 7132, 1082, 8874, 1519, 700, 996, 531, 1284, 777, 517, 3875, 8613, 23079, 543, 2817, 8613, 5010, 338, 563, 7197, 3084, 9086, 538, 3624, 568, 7550, 676, 519, 30557, 9730, 540, 519, 2817, 4658, 781, 6837, 630, 26128, 5425, 290, 30155, 15987, 932, 3089, 21890, 514, 4465, 519, 4107, 966, 16191, 26761, 13815, 538, 476, 4350, 273, 543, 519, 2817, 13477, 10222, 921, 22477, 538, 476, 4350, 274, 267, 519, 2319, 4797, 547, 1166, 10133, 693, 519, 5377, 540, 519, 1796, 902, 585, 1296, 563, 6826, 16442, 2178, 12334, 532, 689, 519, 10047, 543, 24974, 18086, 2504, 689, 12303, 782, 2818, 540, 519, 4358, 1899, 1575, 267, 519, 22361, 625, 4465, 519, 476, 1220, 279, 2817, 13477, 29073, 1222, 10022, 1996, 519, 11968, 13353, 667, 617, 7970, 6902, 8621, 1564, 729, 3957, 519, 3126, 1412, 4107, 966, 16191, 26761, 563, 7197, 543, 5244, 454, 7197, 16113, 267, 519, 22850, 4224, 9135, 2968, 2442, 538, 519, 3735, 476, 1960, 271, 338, 267, 609, 13164, 899, 681, 720, 18830, 519, 10724, 267, 25391, 305, 333, 267, 4427, 331, 830, 267, 7799, 335, 645, 714, 18145, 267, 13017, 514, 5244, 543, 267, 1034, 5063, 267, 21035, 25613, 1737, 11543, 5001, 8560, 676, 2417, 532, 14840, 1107, 667, 269, 631, 269, 595, 563, 7197, 540, 519, 18686, 568, 13026, 676, 5842, 631, 622, 334, 6019, 267, 1063, 5842, 12770, 543, 13244, 27262, 17521, 267, 543, 1519, 519, 4872, 543, 10034, 540, 589, 750, 2023, 267, 5617, 23992, 267, 645, 5142, 321, 2033, 267, 8738, 1782, 877, 267, 2051, 2742, 267, 667, 3315, 4975, 267, 5101, 6022, 334, 1325, 1729, 267, 4432, 21081, 3385, 267, 23340, 4975, 267, 22193, 28386, 267, 5487, 670, 25352, 267, 9093, 5979, 5244, 267, 7085, 3630, 324, 267, 8053, 4673, 267, 7414, 320, 267, 623, 525, 322, 611, 3266, 267, 5800, 7637, 9503, 267, 4414, 6229, 4975, 267, 5842, 19839, 334, 267, 5842, 24883, 267, 5842, 15535, 528, 1470, 267, 5842, 631, 622, 334, 267, 3162, 5842, 12770, 267, 543, 8381, 2515, 563, 7197, 540, 28615, 781, 18563, 1413, 711, 7429, 519, 6272, 540, 654, 269, 1261, 987, 20484, 543, 681, 4209, 7108, 6199, 267, 543, 19162, 5244, 814, 1767, 540, 28615, 602, 782, 1010, 18563, 616, 2966, 1472, 519, 6240, 540, 1210, 513, 521, 1578, 5069, 1067, 547, 11523, 513, 2428, 563, 7197, 3506, 543, 8021, 616, 20898, 909, 676, 713, 4155, 609, 1142, 540, 891, 3506, 2348, 741, 1378, 3844, 726, 18054, 799, 849, 13462, 547, 519, 25548, 5341, 5244, 563, 7197, 540, 1010, 942, 729, 6170, 2866, 538, 14736, 1532, 2135, 532, 610, 3138, 527, 1359, 538, 519, 10754, 540, 5617, 14079, 609, 519, 3781, 569, 19771, 609, 6690, 693, 519, 17833, 655, 1122, 323, 534, 5244, 563, 7197, 540, 891, 616, 7307, 9003, 676, 519, 13163, 540, 8092, 5004, 267, 855, 2185, 616, 7533, 3334, 540, 12280, 9503, 2817, 5244, 610, 769, 14623, 2817, 11206, 267, 543, 616, 3976, 7307, 676, 2901, 519, 2817, 5244, 6796, 610, 519, 11206, 6796, 563, 7197, 616, 13671, 538, 606, 1858, 5111, 7532, 547, 7178, 543, 5087, 547, 5045, 267, 4352, 519, 4911, 330, 528, 16329, 1670, 5244, 267, 799, 14721, 8651, 519, 1858, 267, 2882, 4609, 607, 2484, 2476, 607, 918, 4472, 4325, 534, 267, 827, 547, 519, 5087, 563, 263, 4107, 540, 14465, 928, 12027, 5244, 568, 538, 1488, 28002, 6019, 267, 2066, 11709, 645, 675, 333, 9335, 689, 21469, 9061, 2006, 5244, 693, 9050, 631, 850, 14840, 30155, 7197, 8037, 616, 27517, 26234, 13738, 3465, 2925, 267, 6239, 5244, 267, 674, 578, 2401, 5244, 267, 623, 944, 781, 7085, 595, 2642, 15167, 543, 519, 8262, 15880, 5682, 3118, 563, 7197, 540, 519, 5017, 6967, 2551, 568, 1336, 538, 5565, 24447, 7345, 7186, 15944, 543, 10158, 24739, 545, 1575, 2817, 5244, 269, 0, 19091, 18861, 566, 568, 513, 1826, 540, 3114, 14842, 540, 5027, 602, 666, 581, 15110, 543, 13604, 6569, 1510, 4657, 519, 3312, 5027, 5311, 269, 4475, 621, 568, 851, 540, 519, 27981, 2045, 3009, 543, 568, 849, 519, 1034, 1134, 6353, 27981, 2045, 7271, 269, 5027, 18861, 566, 2164, 538, 1840, 540, 513, 18861, 1895, 547, 5027, 2443, 585, 1383, 267, 547, 519, 1297, 476, 276, 3327, 540, 519, 11118, 27343, 7510, 3234, 26593, 8258, 2443, 799, 3322, 5786, 538, 5444, 4082, 269, 769, 2937, 30717, 8031, 267, 5027, 18861, 566, 3335, 4386, 538, 513, 595, 335, 294, 7188, 16197, 582, 728, 2796, 282, 1875, 4211, 335, 294, 18861, 566, 568, 11342, 538, 25782, 6565, 2281, 563, 3412, 22861, 26014, 17190, 630, 8201, 2630, 543, 4676, 269, 272, 1299, 476, 273, 264, 630, 349, 2004, 268, 1911, 16784, 8920, 1081, 994, 3412, 22861, 334, 1532, 14309, 7020, 540, 5027, 609, 476, 276, 2173, 14007, 26014, 27343, 593, 6491, 549, 3250, 21695, 630, 8269, 269, 476, 274, 1299, 476, 275, 264, 630, 349, 1911, 271, 16784, 8920, 1081, 994, 3412, 22861, 4094, 281, 476, 276, 5336, 14007, 1097, 339, 27343, 17788, 730, 547, 536, 990, 710, 16796, 11549, 6058, 630, 8269, 476, 274, 994, 3725, 13808, 281, 5027, 609, 476, 276, 5336, 14007, 1097, 339, 27343, 630, 332, 14007, 730, 5027, 1070, 1022, 2249, 454, 13528, 281, 8830, 1881, 1979, 582, 514, 2643, 730, 10856, 16384, 300, 267, 476, 272, 8406, 270, 6447, 538, 32282, 609, 476, 2004, 260, 9848, 1356, 565, 267, 6882, 268, 10322, 28895, 269, 10897, 728, 543, 15298, 1863, 454, 1805, 4392, 281, 26676, 476, 275, 9180, 267, 2390, 12625, 620, 1172, 582, 543, 4558, 693, 910, 736, 9180, 454, 8993, 269, 272, 631, 14007, 566, 540, 8392, 6955, 770, 5027, 3308, 1242, 676, 6375, 17190, 269, 27842, 616, 932, 4594, 573, 14137, 553, 803, 268, 272, 2281, 269, 19382, 281, 667, 4338, 296, 3613, 7134, 2281, 282, 5664, 281, 19204, 26911, 609, 4550, 268, 276, 9288, 290, 17193, 543, 28218, 290, 8410, 24503, 730, 476, 273, 526, 17193, 282, 9406, 281, 631, 1120, 539, 3239, 269, 25914, 6955, 770, 5027, 568, 14311, 18861, 730, 538, 13708, 23176, 2281, 563, 8993, 269, 273, 24544, 540, 5027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 323, 2125, 345, 5451, 345, 553, 815, 703, 9272, 2891, 327, 5451, 5500, 29593, 629, 476, 1911, 10499, 8709, 513, 737, 817, 345, 5451, 3316, 8119, 17903, 27219, 330, 2946, 1206, 345, 5451, 345, 553, 815, 703, 9272, 2891, 327, 5451, 5500, 29593, 629, 476, 1220, 10499, 8709, 513, 737, 817, 345, 5451, 3316, 8119, 17903, 27219, 7238, 1206, 345, 5451, 345, 553, 815, 703, 9272, 2891, 327, 5451, 5500, 29593, 629, 476, 4335, 10499, 8709, 513, 737, 817, 345, 5451, 3316, 8119, 264, 10142, 338, 345, 5451, 345, 553, 815, 546, 2125, 345, 5451, 345, 553, 265, 1911, 1477, 330, 2946, 1206, 345, 5451, 345, 553, 815, 24563, 330, 2946, 1206, 345, 5451, 345, 553, 265, 1220, 1477, 7238, 1206, 345, 5451, 345, 553, 815, 24563, 7238, 1206, 345, 5451, 345, 553, 265, 4335, 5897, 330, 817, 5633, 815, 521, 345, 5451, 345, 553, 266, 330, 2946, 1206, 345, 5451, 345, 553, 266, 7238, 1206, 345, 5451, 345, 553, 1477, 2745, 2891, 288, 737, 817, 345, 5451, 3316, 281, 834, 1341, 1193, 17347, 817, 5633, 264, 1341, 834, 674, 307, 8709, 10590, 3418, 0, 5814, 26417, 692, 5228, 4295, 2529, 584, 3272, 1104, 11752, 7531, 5035, 11752, 10048, 4526, 912, 825, 5727, 9502, 540, 513, 11752, 15440, 20701, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4732, 584, 3272, 815, 7183, 692, 825, 1219, 1224, 6958, 1009, 318, 663, 318, 16149, 318, 4900, 4311, 267, 1101, 32284, 267, 2034, 32284, 2187, 1038, 5727, 3367, 519, 1101, 4737, 269, 901, 11225, 519, 1239, 547, 581, 6394, 585, 1142, 454, 2018, 1948, 2626, 543, 519, 2055, 269, 5272, 2243, 814, 513, 715, 540, 8900, 13366, 454, 2018, 1948, 1310, 922, 2822, 842, 542, 269, 901, 1797, 602, 1142, 2243, 814, 715, 266, 272, 454, 2018, 1948, 2009, 4267, 454, 1038, 29185, 1038, 1820, 2891, 14140, 32284, 24333, 7003, 6600, 1009, 32284, 4917, 1038, 1820, 2891, 14140, 32284, 24333, 7003, 263, 16149, 32284, 11723, 1038, 4737, 20311, 318, 550, 1845, 815, 7003, 263, 16149, 32284, 2020, 1038, 1948, 634, 1101, 476, 280, 13366, 616, 711, 2055, 855, 1344, 827, 1142, 2626, 454, 1038, 2489, 318, 16769, 815, 9598, 4590, 1038, 2489, 318, 16769, 14277, 25215, 1180, 550, 318, 2839, 19312, 815, 476, 271, 454, 1038, 2489, 318, 16769, 14277, 8624, 937, 528, 318, 2839, 19312, 815, 476, 272, 454, 1038, 2489, 318, 16769, 14277, 9359, 318, 14630, 19312, 815, 476, 273, 454, 1038, 2489, 318, 16769, 14277, 17484, 318, 14630, 19312, 815, 476, 274, 454, 1038, 2489, 318, 16769, 14277, 7709, 318, 11754, 816, 19312, 815, 476, 275, 454, 1038, 2489, 318, 16769, 14277, 10387, 841, 318, 11754, 816, 19312, 815, 476, 276, 454, 1038, 2489, 318, 16769, 14277, 5575, 318, 11243, 19312, 815, 476, 277, 454, 1038, 2489, 318, 16769, 14277, 8310, 318, 11243, 19312, 815, 476, 278, 454, 1038, 2489, 318, 16769, 14277, 20578, 318, 10574, 318, 272, 19312, 815, 476, 279, 692, 1038, 1007, 318, 23896, 26748, 815, 7183, 454, 1038, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 815, 11713, 1038, 1699, 318, 23896, 16182, 815, 476, 272, 454, 1038, 1101, 318, 23896, 815, 6936, 692, 1038, 585, 7127, 20311, 538, 2039, 263, 280, 267, 4737, 20311, 318, 550, 1845, 17107, 2018, 7127, 6958, 1009, 32284, 815, 1101, 32284, 314, 18782, 20311, 2639, 2018, 7127, 318, 16149, 32284, 815, 2034, 32284, 314, 18782, 20311, 6540, 2018, 1948, 1403, 972, 568, 513, 1007, 2243, 547, 581, 2813, 269, 5403, 519, 3105, 2243, 563, 2018, 952, 7127, 6958, 1009, 32284, 11203, 834, 13426, 3546, 952, 1101, 318, 23896, 912, 7386, 1101, 318, 23896, 815, 8771, 454, 3546, 3116, 912, 7386, 1582, 4732, 584, 3272, 14491, 318, 23896, 318, 5976, 318, 753, 9955, 263, 9690, 318, 23896, 16182, 2676, 14030, 4449, 16875, 1007, 318, 23896, 26748, 2676, 14030, 4449, 16875, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 2020, 7386, 1699, 318, 23896, 16182, 815, 1699, 318, 23896, 16182, 1341, 476, 272, 454, 7386, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 815, 29129, 3546, 1007, 318, 23896, 26748, 815, 7127, 6958, 1009, 32284, 454, 3546, 2626, 815, 27835, 573, 9166, 7127, 20311, 267, 1412, 3667, 9166, 7127, 318, 16149, 32284, 8679, 3546, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 6910, 263, 24987, 994, 2018, 3116, 912, 3546, 2626, 815, 27835, 573, 9166, 7127, 20311, 267, 1412, 3667, 9166, 7127, 318, 16149, 32284, 8679, 3546, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 6910, 263, 24987, 2020, 2018, 1948, 5403, 519, 2063, 2243, 454, 2018, 952, 7127, 20311, 2652, 4737, 20311, 318, 550, 1845, 910, 476, 272, 912, 3546, 1582, 4732, 584, 3272, 14491, 318, 23896, 318, 5976, 318, 753, 9955, 263, 9690, 318, 23896, 16182, 2676, 14030, 4449, 8587, 1007, 318, 23896, 26748, 2676, 14030, 4449, 8587, 1007, 318, 23896, 7272, 6372, 318, 753, 9955, 2020, 825, 1219, 4452, 5334, 584, 3272, 4311, 267, 5619, 18316, 24786, 17107, 1038, 1582, 4732, 584, 3272, 815, 11752, 2891, 6124, 5619, 15419, 1038, 609, 1930, 4433, 584, 3272, 18316, 24786, 264, 607, 5619, 18316, 1384, 2018, 5467, 815, 26417, 18667, 518, 4433, 584, 3272, 18316, 267, 1642, 574, 3438, 284, 12887, 2020, 2018, 4737, 20311, 815, 476, 272, 454, 2018, 1101, 32284, 815, 7183, 454, 2018, 2034, 32284, 815, 7183, 692, 2018, 585, 4737, 538, 5467, 1384, 3546, 952, 4737, 20311, 2652, 476, 272, 912, 7386, 1101, 32284, 815, 4737, 454, 3546, 8640, 4737, 20311, 2652, 476, 273, 912, 7386, 2034, 32284, 815, 4737, 454, 7386, 1582, 18667, 6958, 1009, 318, 663, 318, 16149, 318, 4900, 6600, 1009, 32284, 267, 2034, 32284, 994, 3546, 3116, 912, 7386, 1948, 19130, 856, 519, 5619, 609, 4431, 619, 543, 6114, 454, 7386, 4737, 20311, 318, 550, 1845, 815, 7003, 21405, 2020, 7386, 16045, 16182, 815, 4737, 314, 271, 2639, 7386, 1582, 4732, 584, 3272, 14491, 318, 4820, 4602, 656, 263, 4820, 4602, 656, 16182, 2020, 7386, 585, 7127, 20311, 538, 2039, 263, 280, 267, 4737, 20311, 318, 550, 1845, 2187, 13376, 2626, 26748, 815, 4737, 314, 18782, 20311, 2639, 13376, 952, 2626, 26748, 11203, 834, 13426, 23351, 1582, 4732, 584, 3272, 14491, 318, 24987, 15461, 318, 23896, 263, 4820, 4602, 656, 16182, 2676, 14030, 4449, 25639, 7127, 20311, 2676, 14030, 4449, 25639, 2626, 26748, 994, 3546, 4737, 20311, 815, 4737, 20311, 1341, 476, 272, 692, 2018, 1948, 1582, 4732, 584, 3272, 31428, 318, 23896, 318, 5976, 7272, 6372, 318, 753, 9955, 318, 663, 19571, 318, 4820, 4602, 1218, 10797, 825, 1219, 1205, 14067, 1846, 318, 23896, 4311, 267, 2243, 16182, 2187, 1038, 1582, 4732, 584, 3272, 31428, 23544, 4424, 318, 23896, 318, 2421, 16182, 263, 23896, 16182, 2020, 825, 1219, 1205, 14067, 1846, 318, 935, 13906, 523, 730, 318, 638, 5465, 4311, 267, 2243, 318, 1749, 17107, 1038, 1948, 5192, 519, 5758, 540, 519, 1101, 2243, 454, 1038, 1582, 4732, 584, 3272, 31428, 23544, 4424, 318, 23896, 318, 2421, 16182, 263, 23896, 318, 1749, 314, 271, 20285, 1038, 1582, 4732, 584, 3272, 31428, 318, 935, 13906, 523, 622, 318, 23896, 318, 29798, 263, 23896, 318, 1749, 314, 271, 3910, 2243, 318, 1749, 314, 272, 7481, 0, 5814, 4351, 454, 291, 2464, 31304, 303, 3582, 815, 834, 1432, 1297, 568, 7508, 538, 519, 11144, 12482, 454, 3698, 1404, 318, 1037, 10031, 825, 1376, 15220, 4069, 815, 4351, 20120, 9792, 263, 2004, 994, 825, 11144, 815, 4351, 20120, 9792, 263, 272, 267, 476, 1556, 994, 825, 4994, 815, 4351, 20120, 9792, 263, 1015, 994, 825, 1267, 815, 11713, 825, 585, 1775, 538, 2039, 263, 272, 267, 476, 1556, 2187, 1038, 1376, 15220, 4069, 6834, 11144, 454, 1038, 1267, 6910, 19304, 263, 11034, 15220, 4069, 4917, 825, 2626, 815, 1267, 27709, 2639, 825, 1267, 27709, 316, 815, 1412, 907, 7055, 825, 2243, 815, 1412, 29717, 21860, 31114, 994, 825, 2132, 2243, 267, 2626, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 19399, 19399, 2971, 7462, 454, 258, 14193, 6255, 528, 1038, 2433, 554, 340, 836, 331, 559, 784, 342, 330, 287, 336, 336, 2593, 454, 258, 942, 16875, 2433, 476, 1001, 277, 270, 276, 270, 273, 454, 258, 5618, 1363, 2433, 2999, 25284, 2719, 538, 5124, 274, 3436, 3184, 274, 1383, 476, 272, 630, 2457, 281, 14983, 994, 258, 4699, 323, 19930, 2433, 5352, 318, 639, 1716, 1868, 18258, 1239, 270, 22852, 17902, 454, 19399, 19399, 5992, 1012, 692, 258, 1590, 1039, 834, 26611, 23591, 24800, 19841, 341, 9226, 274, 257, 593, 519, 1101, 1899, 267, 1775, 1810, 1405, 737, 1144, 1946, 692, 5814, 19523, 454, 5814, 10070, 692, 2839, 267, 11123, 2793, 10933, 267, 631, 2839, 291, 4041, 2793, 10933, 267, 590, 7838, 2793, 10933, 267, 667, 7968, 11286, 16774, 815, 2039, 263, 276, 994, 27165, 815, 10070, 8542, 3139, 14654, 921, 2891, 27165, 2580, 834, 639, 20713, 267, 585, 4067, 267, 544, 1342, 6352, 877, 267, 21519, 267, 7329, 15419, 3698, 1292, 10031, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 272, 610, 19523, 27769, 341, 314, 272, 316, 538, 2715, 27324, 327, 2580, 834, 734, 15276, 257, 348, 912, 1038, 1820, 2891, 5825, 720, 281, 2715, 271, 348, 3758, 272, 1496, 12803, 273, 30385, 314, 12803, 301, 14963, 2668, 8971, 4433, 903, 27769, 341, 314, 271, 28413, 1038, 19523, 20216, 527, 10797, 825, 721, 1716, 1868, 815, 1305, 3890, 2018, 1948, 1100, 5918, 27289, 454, 825, 3755, 815, 31460, 825, 585, 32197, 538, 19523, 27769, 341, 314, 272, 281, 13912, 4449, 567, 1948, 1205, 2083, 523, 1868, 689, 4971, 11060, 454, 1038, 585, 1899, 538, 1930, 6600, 32327, 267, 16780, 5317, 6889, 583, 325, 279, 257, 2187, 2018, 1899, 815, 1899, 25331, 29328, 3890, 4449, 672, 1948, 4894, 1318, 543, 2451, 16543, 10628, 454, 2018, 952, 1899, 281, 825, 1948, 711, 8900, 1899, 454, 3546, 3593, 815, 1184, 318, 1467, 263, 1467, 267, 721, 1716, 1868, 994, 3546, 3755, 27007, 12528, 4732, 1248, 877, 31573, 19572, 3593, 269, 1721, 4067, 31573, 19572, 3593, 269, 573, 13580, 815, 3593, 1948, 476, 274, 2389, 340, 921, 9847, 1883, 267, 3593, 9847, 1871, 454, 825, 1820, 318, 22852, 263, 22852, 2020, 3698, 1184, 318, 1467, 263, 1467, 267, 721, 1716, 1868, 2187, 825, 4610, 815, 1899, 21858, 2891, 281, 5602, 825, 27024, 815, 5352, 318, 639, 20713, 6600, 3658, 267, 721, 1716, 1868, 994, 825, 3593, 815, 14871, 263, 639, 20713, 267, 4610, 314, 19489, 2793, 10933, 3910, 4610, 314, 300, 2839, 291, 4041, 2793, 10933, 3910, 26753, 314, 306, 7838, 2793, 10933, 3910, 4610, 314, 2839, 7481, 825, 2132, 3593, 692, 3698, 5352, 318, 639, 20713, 6600, 3658, 267, 721, 1716, 1868, 2187, 825, 27024, 815, 16733, 26753, 314, 19489, 2793, 10933, 6012, 271, 316, 1341, 4610, 314, 300, 2839, 291, 4041, 2793, 10933, 6012, 281, 272, 316, 1341, 4610, 314, 306, 7838, 2793, 10933, 4940, 516, 2897, 2891, 268, 2580, 834, 20257, 516, 2897, 2891, 262, 14824, 257, 21875, 825, 27024, 815, 3312, 12173, 815, 27024, 11468, 279, 4940, 12294, 4590, 825, 1293, 815, 476, 272, 454, 825, 1247, 27024, 538, 721, 1716, 1868, 281, 825, 1948, 4308, 609, 26134, 4408, 263, 16852, 836, 331, 559, 784, 9847, 554, 340, 836, 331, 559, 784, 346, 12248, 348, 994, 1038, 27024, 815, 834, 346, 271, 2410, 272, 348, 2668, 8971, 263, 13092, 12173, 267, 1293, 994, 1038, 1293, 6834, 476, 272, 454, 825, 721, 1716, 1868, 14491, 263, 639, 20713, 994, 825, 2132, 27024, 692, 3698, 1820, 318, 22852, 263, 22852, 2187, 825, 2012, 12296, 815, 476, 3953, 454, 825, 27024, 12296, 815, 476, 280, 454, 825, 1820, 2891, 346, 271, 23901, 346, 333, 342, 3686, 2715, 272, 281, 317, 277, 348, 2715, 273, 281, 346, 17703, 3686, 2668, 8971, 18692, 1038, 834, 11243, 2580, 1412, 2839, 3299, 834, 5825, 20713, 2580, 562, 342, 284, 4067, 12296, 267, 579, 342, 284, 639, 20713, 12296, 4917, 825, 1820, 2891, 346, 271, 18737, 283, 346, 333, 342, 3686, 2715, 271, 18737, 283, 277, 348, 2715, 271, 18737, 283, 346, 17703, 3686, 2668, 8971, 18692, 1038, 834, 2580, 562, 342, 284, 4067, 12296, 267, 579, 342, 284, 639, 20713, 12296, 454, 825, 3738, 994, 825, 585, 1883, 538, 15044, 263, 22852, 2187, 1038, 3593, 815, 3755, 314, 4486, 2639, 1038, 3355, 815, 834, 4840, 1038, 952, 3593, 6230, 1342, 6352, 877, 912, 2018, 3355, 815, 834, 834, 1341, 3593, 6230, 1342, 6352, 877, 314, 271, 2639, 2018, 2012, 815, 834, 346, 271, 4732, 1248, 877, 9574, 2715, 271, 269, 1721, 4067, 2410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21430, 3664, 543, 8159, 535, 919, 676, 519, 16213, 540, 6266, 814, 513, 1279, 1686, 267, 1519, 1896, 1806, 538, 519, 6426, 269, 1717, 267, 519, 946, 540, 27601, 607, 513, 1106, 540, 13989, 547, 3094, 1570, 26065, 568, 811, 2487, 269, 7073, 13169, 2010, 1331, 4108, 931, 5524, 267, 5010, 3260, 687, 538, 799, 3959, 568, 2016, 2476, 676, 513, 4351, 5650, 267, 543, 519, 5542, 540, 21139, 2818, 689, 8638, 540, 10805, 17037, 269, 1717, 267, 519, 5318, 5354, 540, 27601, 616, 1759, 593, 4960, 543, 4125, 8569, 540, 930, 7156, 585, 513, 4960, 547, 3094, 269, 634, 9998, 1857, 27601, 941, 6896, 676, 2229, 585, 519, 3483, 540, 9870, 2724, 585, 1857, 3785, 269, 1452, 3769, 9897, 267, 23668, 267, 12621, 267, 13039, 267, 543, 824, 5238, 269, 634, 25550, 6837, 20366, 547, 3715, 513, 13169, 547, 6318, 7482, 585, 519, 21829, 2782, 693, 519, 856, 3553, 540, 519, 4655, 267, 855, 519, 1788, 729, 14460, 269, 13536, 267, 27352, 6896, 27601, 941, 2442, 538, 519, 2136, 2276, 543, 4789, 607, 6127, 547, 3489, 968, 14179, 27035, 9204, 892, 585, 4357, 26136, 269, 634, 13210, 540, 1896, 1977, 12621, 941, 1710, 2331, 676, 27601, 267, 1519, 12370, 267, 667, 691, 17625, 267, 23171, 267, 3751, 779, 5441, 630, 852, 12052, 1070, 5261, 543, 6307, 267, 543, 5742, 563, 1103, 519, 2038, 2395, 540, 519, 1533, 13169, 267, 8387, 11130, 602, 621, 729, 606, 3608, 543, 12581, 1259, 547, 2445, 2724, 585, 2229, 5301, 269, 4595, 1287, 267, 519, 7521, 593, 1533, 27601, 814, 1831, 5051, 1950, 269, 7600, 545, 3359, 1445, 593, 1808, 2934, 540, 519, 13169, 779, 4238, 267, 971, 607, 519, 1966, 540, 31017, 13989, 543, 922, 16957, 1036, 4809, 1764, 593, 25013, 4961, 269, 634, 7521, 849, 3322, 519, 2243, 540, 2436, 1533, 6608, 1058, 723, 513, 26771, 593, 13989, 563, 299, 582, 23065, 1683, 513, 5929, 1383, 540, 519, 7411, 540, 9591, 513, 17396, 3084, 1857, 3609, 593, 13989, 269, 3557, 7400, 4507, 616, 1419, 27929, 267, 543, 519, 6392, 13991, 547, 13169, 2152, 568, 8237, 1063, 519, 15424, 543, 10324, 8371, 543, 2417, 5258, 1369, 1142, 7936, 269, 5047, 267, 519, 1646, 540, 513, 13169, 568, 1419, 606, 31278, 1184, 267, 609, 1533, 8387, 9100, 1746, 4507, 543, 13829, 593, 19614, 602, 789, 666, 1152, 1689, 998, 513, 17890, 543, 2352, 5650, 563, 763, 12918, 540, 10888, 513, 13169, 616, 2356, 3370, 593, 519, 4013, 3896, 540, 519, 13169, 269, 901, 1344, 568, 2139, 585, 1863, 267, 543, 621, 666, 948, 596, 6430, 799, 2338, 547, 3442, 585, 707, 19044, 269, 13575, 267, 519, 8458, 540, 10888, 616, 2362, 585, 17914, 602, 1331, 811, 2338, 269, 2368, 1004, 2119, 547, 2087, 741, 8458, 540, 10888, 676, 7446, 2338, 602, 616, 6209, 547, 873, 267, 971, 607, 4332, 17058, 610, 3045, 1392, 2456, 269, 1280, 1383, 267, 513, 4807, 538, 476, 1001, 277, 4465, 513, 631, 9298, 7085, 687, 13544, 13607, 676, 8939, 1200, 1920, 779, 4332, 17058, 543, 5722, 607, 1200, 18822, 1297, 269, 1717, 267, 519, 1655, 1259, 547, 2333, 707, 8458, 540, 10888, 568, 547, 4444, 811, 17914, 563, 5278, 1004, 1404, 519, 13169, 609, 519, 4126, 602, 789, 786, 3094, 2614, 2724, 547, 16718, 741, 6009, 269, 1809, 713, 1826, 540, 25127, 568, 4440, 711, 519, 5100, 652, 1847, 269, 769, 1249, 267, 513, 11829, 1575, 3542, 1336, 602, 476, 2412, 260, 540, 1346, 945, 1745, 771, 1263, 3042, 689, 741, 6009, 2161, 789, 1131, 16718, 952, 789, 4465, 519, 13169, 269, 13298, 982, 29997, 532, 689, 741, 6009, 267, 789, 1522, 581, 1732, 1055, 4466, 2081, 547, 5818, 741, 6278, 2157, 269, 0, 268, 27755, 24220, 12022, 404, 374, 281, 476, 407, 372, 407, 370, 267, 407, 364, 407, 364, 407, 364, 12168, 359, 15906, 14534, 8294, 14180, 454, 268, 27755, 24220, 12022, 404, 374, 281, 476, 407, 373, 407, 365, 267, 407, 364, 407, 364, 407, 364, 12168, 359, 15906, 14534, 8294, 14180, 454, 16631, 22509, 697, 13408, 513, 2039, 540, 2409, 547, 5659, 2250, 267, 1459, 543, 4397, 1382, 3466, 267, 543, 3096, 713, 1344, 547, 3589, 519, 2104, 4567, 540, 1114, 4610, 540, 2257, 543, 2029, 269, 2060, 519, 2702, 547, 2697, 1164, 1790, 582, 1113, 1646, 8846, 267, 2257, 22509, 697, 666, 581, 513, 3730, 1907, 547, 1489, 519, 2359, 543, 4058, 540, 2104, 1382, 2238, 269, 3163, 22509, 697, 19767, 666, 3442, 689, 513, 2864, 1804, 3099, 540, 4485, 269, 1703, 568, 267, 2705, 267, 5266, 2370, 1344, 827, 875, 519, 1585, 4485, 666, 581, 4294, 538, 606, 2500, 1259, 269, 901, 1957, 6257, 513, 1614, 9912, 27696, 5943, 585, 2257, 22509, 697, 593, 519, 4493, 540, 3370, 1382, 4574, 267, 9967, 540, 630, 328, 264, 1272, 268, 12860, 2079, 267, 630, 4512, 264, 1257, 5599, 543, 630, 13839, 264, 1702, 7934, 8446, 676, 1797, 540, 12747, 24159, 269, 634, 1614, 3268, 616, 4448, 1210, 519, 1382, 12191, 540, 519, 1382, 4574, 267, 607, 4857, 676, 1257, 5599, 269, 634, 1761, 540, 9256, 891, 1614, 3268, 538, 835, 5943, 568, 11609, 676, 7421, 3621, 3332, 593, 2842, 3032, 7129, 282, 513, 2067, 14910, 1523, 799, 814, 4607, 9645, 3007, 689, 24243, 267, 855, 609, 3833, 1970, 3498, 538, 2259, 269, 634, 1702, 10616, 602, 616, 4857, 1397, 602, 519, 12747, 22509, 697, 2079, 568, 8197, 2111, 547, 1265, 17946, 14975, 1382, 2127, 269, 11778, 689, 513, 8417, 2079, 2417, 1397, 519, 2956, 540, 1210, 2407, 17856, 338, 585, 1257, 5599, 3079, 540, 1152, 2140, 267, 17161, 543, 7493, 269, 634, 1957, 20147, 609, 513, 8086, 593, 519, 27696, 5943, 267, 543, 3947, 8846, 585, 922, 5497, 946, 538, 2104, 2090, 563, 274, 269, 13517, 540, 519, 3498, 1353, 454, 1103, 713, 3296, 267, 519, 5943, 4843, 538, 8791, 476, 273, 568, 7152, 609, 2463, 547, 2842, 3032, 7129, 282, 513, 4264, 2067, 14910, 1062, 585, 5656, 269, 476, 274, 269, 272, 269, 6489, 3032, 7129, 15531, 3435, 602, 5512, 1942, 15807, 5106, 540, 5656, 609, 1434, 4313, 2175, 543, 1447, 2942, 1764, 593, 519, 1604, 568, 4857, 607, 835, 540, 519, 1034, 8903, 2591, 540, 519, 476, 2641, 560, 2540, 630, 298, 565, 758, 1824, 320, 1696, 620, 1421, 476, 1001, 272, 282, 594, 12788, 267, 476, 1001, 274, 1040, 3194, 543, 1646, 540, 5499, 2679, 1949, 568, 4397, 547, 1404, 606, 1271, 1909, 538, 14123, 713, 5912, 2509, 4264, 2679, 1374, 630, 299, 3019, 523, 1696, 620, 1421, 476, 1001, 275, 1040, 7849, 14910, 2994, 723, 519, 1761, 547, 1831, 513, 14323, 4244, 585, 1648, 25673, 2011, 8410, 1288, 532, 1949, 267, 855, 1007, 4485, 616, 2877, 547, 1291, 547, 9962, 10073, 269, 6184, 17508, 585, 1007, 2035, 666, 581, 1336, 676, 3168, 693, 2757, 1374, 2994, 971, 607, 519, 968, 13388, 3032, 7815, 5608, 799, 729, 1031, 547, 1683, 2067, 14910, 543, 12809, 9023, 538, 3905, 543, 25545, 4525, 540, 9459, 543, 15231, 2477, 630, 306, 320, 611, 520, 1014, 1696, 620, 1421, 476, 1001, 273, 1040, 634, 9023, 2773, 540, 1312, 3504, 543, 2413, 2842, 3032, 7129, 814, 1044, 9916, 543, 20979, 676, 1896, 3173, 267, 1210, 8097, 267, 12985, 610, 10763, 2409, 630, 306, 320, 611, 520, 1014, 1696, 620, 1421, 476, 1001, 273, 282, 8053, 1794, 29800, 543, 10897, 714, 1014, 267, 476, 1220, 280, 282, 8053, 1794, 29800, 267, 476, 1001, 272, 282, 8053, 1794, 29800, 543, 10897, 714, 1014, 267, 476, 1220, 279, 282, 8053, 1794, 29800, 1696, 620, 1421, 476, 1001, 271, 282, 15840, 611, 9461, 1696, 620, 1421, 476, 1220, 279, 282, 590, 719, 1638, 334, 1696, 620, 1421, 476, 1001, 272, 282, 670, 28045, 543, 10557, 267, 476, 1001, 275, 282, 2672, 1696, 620, 1421, 476, 1220, 279, 282, 2836, 2246, 527, 1696, 620, 1421, 476, 1001, 274, 282, 2836, 2246, 527, 1696, 620, 1421, 476, 1001, 275, 1040, 769, 1840, 547, 4081, 8658, 267, 2872, 814, 849, 6976, 3007, 547, 519, 1646, 540, 891, 1949, 269, 1452, 2029, 4483, 2238, 723, 3366, 547, 519, 8798, 540, 2789, 1007, 5010, 2842, 3032, 7815, 1949, 602, 2743, 519, 4170, 540, 2413, 6377, 2679, 1374, 630, 295, 1872, 1127, 1696, 620, 1421, 476, 1001, 273, 1040, 1717, 267, 6236, 519, 5266, 3500, 19718, 538, 2259, 267, 621, 666, 581, 11130, 602, 2417, 1382, 543, 1646, 568, 1869, 2877, 547, 4628, 8415, 519, 1761, 540, 2842, 3032, 7129, 269, 0, 2918, 3967, 5507, 25089, 25676, 267, 10017, 454, 4002, 11728, 267, 5729, 476, 1724, 10017, 1053, 4682, 593, 513, 7552, 547, 519, 2098, 20784, 5507, 25089, 269, 1284, 1185, 606, 5863, 942, 267, 1565, 827, 3662, 4987, 543, 875, 621, 6402, 547, 5626, 2474, 602, 1053, 723, 1044, 1565, 827, 607, 851, 540, 741, 1576, 267, 585, 1383, 267, 8106, 543, 1766, 656, 14555, 282, 609, 667, 2033, 630, 716, 532, 607, 513, 32020, 8759, 264, 1373, 31411, 547, 1689, 1010, 7180, 547, 7118, 20397, 2336, 10743, 941, 2016, 519, 4316, 547, 4163, 856, 741, 1378, 7422, 1210, 19503, 6758, 593, 606, 3662, 540, 741, 3903, 543, 1336, 930, 2731, 4277, 2164, 269, 2290, 1895, 1256, 5342, 741, 8343, 593, 519, 2185, 6377, 2025, 4816, 27580, 8759, 602, 1185, 1044, 4535, 519, 13628, 1991, 1107, 621, 729, 17681, 547, 1294, 631, 16244, 32020, 8759, 524, 3291, 1194, 909, 547, 1200, 4816, 543, 6029, 1864, 17017, 1055, 547, 721, 1107, 6157, 606, 1995, 9039, 540, 721, 786, 7340, 2336, 300, 3464, 570, 5600, 454, 30108, 540, 10017, 1299, 4317, 5525, 0, 1432, 568, 4264, 6484, 888, 306, 20980, 12594, 568, 3989, 607, 519, 2702, 540, 1426, 1949, 547, 1683, 6190, 1648, 543, 1898, 5567, 547, 2226, 1434, 1072, 540, 519, 2551, 1510, 18731, 519, 2702, 540, 2104, 5481, 547, 2743, 741, 9422, 2115, 630, 288, 11202, 689, 12655, 12594, 547, 715, 26798, 20885, 540, 13216, 5253, 7010, 1040, 898, 568, 6484, 602, 568, 3812, 543, 9447, 538, 513, 1259, 602, 568, 13533, 585, 1004, 267, 519, 4541, 267, 543, 2486, 563, 15933, 568, 849, 693, 519, 2295, 540, 835, 540, 519, 7887, 2591, 540, 938, 942, 1107, 875, 798, 649, 3049, 513, 3395, 2551, 15029, 5883, 519, 18965, 2825, 12159, 540, 938, 4541, 888, 2171, 2712, 326, 1836, 991, 547, 1265, 3435, 269, 898, 568, 1271, 602, 3025, 538, 519, 1158, 814, 513, 1318, 547, 3548, 7059, 267, 2635, 543, 14312, 1426, 269, 2311, 519, 1482, 942, 267, 649, 991, 547, 1118, 1426, 4616, 543, 2504, 5079, 602, 31363, 519, 3908, 2067, 2200, 649, 723, 593, 938, 4541, 547, 3049, 3025, 269, 1284, 991, 4264, 6484, 563, 8072, 2005, 779, 6059, 602, 519, 1158, 779, 2551, 786, 581, 476, 280, 269, 277, 5479, 676, 476, 13078, 271, 543, 602, 649, 1131, 991, 519, 6697, 540, 476, 274, 4541, 2423, 2195, 547, 3132, 2614, 1426, 547, 3049, 602, 2179, 540, 1004, 952, 649, 798, 711, 1689, 938, 1426, 2504, 2853, 630, 18197, 8315, 2622, 15510, 7797, 476, 1001, 280, 1916, 32481, 476, 1789, 260, 540, 519, 1426, 649, 3132, 11451, 1169, 1554, 568, 24906, 630, 11902, 302, 476, 1001, 280, 1070, 2943, 972, 568, 1869, 1454, 540, 519, 1158, 602, 568, 896, 333, 712, 1639, 19028, 288, 4264, 2732, 568, 835, 602, 568, 2635, 267, 2922, 267, 543, 14312, 267, 814, 513, 1970, 610, 2318, 1764, 593, 519, 1604, 267, 543, 568, 849, 3015, 267, 10097, 267, 543, 15520, 11807, 563, 763, 12655, 4886, 17644, 5447, 721, 609, 4264, 6484, 998, 3853, 543, 3077, 4259, 563, 763, 6663, 540, 12655, 13245, 10791, 616, 547, 912, 268, 3035, 6099, 2208, 543, 1646, 540, 782, 2043, 540, 782, 6502, 267, 585, 1459, 543, 2104, 5481, 3248, 268, 3565, 547, 7303, 782, 3029, 540, 22926, 2676, 268, 2569, 519, 1981, 540, 2732, 5829, 3676, 282, 543, 454, 268, 1489, 519, 11091, 540, 9265, 543, 19236, 1072, 563, 4002, 713, 2985, 912, 291, 574, 5014, 540, 4264, 6484, 454, 306, 20980, 2635, 11326, 1590, 9192, 782, 519, 7516, 540, 6940, 547, 2057, 26516, 4539, 547, 938, 1072, 267, 4541, 610, 938, 7239, 563, 5472, 519, 7516, 540, 513, 12655, 10791, 4061, 666, 581, 6913, 676, 2901, 6721, 4264, 543, 2635, 1426, 610, 10438, 621, 1107, 23679, 1312, 269, 901, 6516, 2982, 875, 23715, 787, 11225, 519, 7516, 540, 12655, 12594, 563, 2414, 2327, 519, 1072, 540, 1004, 267, 519, 4541, 267, 543, 2486, 267, 621, 568, 1271, 547, 1589, 19605, 569, 827, 891, 2185, 2188, 563, 10890, 1299, 6484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18411, 7692, 568, 4058, 547, 1628, 519, 4102, 2679, 538, 4884, 269, 1280, 602, 267, 646, 2115, 513, 2603, 540, 9160, 269, 3097, 2467, 616, 715, 9160, 21168, 10362, 547, 930, 3549, 20922, 676, 606, 8870, 589, 5157, 316, 1141, 1775, 18575, 3097, 1492, 4994, 540, 519, 1880, 9160, 17142, 543, 519, 2012, 540, 519, 2754, 20922, 676, 589, 5157, 4940, 3097, 2414, 1118, 519, 2679, 2178, 543, 14463, 267, 7585, 814, 4956, 547, 4444, 9160, 21168, 540, 1152, 476, 272, 2754, 3097, 6518, 3091, 519, 5021, 2179, 540, 9160, 269, 6435, 7585, 2824, 519, 9160, 2754, 799, 646, 1058, 4782, 538, 1818, 519, 8490, 780, 27237, 292, 281, 769, 2013, 811, 982, 835, 2754, 666, 581, 6074, 267, 8359, 519, 835, 609, 519, 9803, 8870, 1871, 269, 8528, 2562, 303, 7473, 454, 5575, 7412, 3568, 715, 267, 634, 1100, 269, 540, 9160, 21168, 2139, 454, 763, 2034, 1899, 3568, 715, 1606, 10628, 9674, 9981, 3954, 7627, 519, 2754, 540, 1142, 17142, 540, 9160, 780, 5495, 9143, 7473, 454, 19530, 513, 2582, 8870, 267, 3954, 7627, 519, 1871, 540, 519, 5551, 2754, 780, 25321, 4306, 6938, 2562, 4811, 454, 272, 27045, 301, 27045, 1015, 317, 277, 454, 272, 27045, 288, 5157, 316, 27045, 1015, 317, 1240, 692, 306, 21283, 4041, 5442, 303, 7473, 3097, 277, 454, 276, 476, 276, 476, 273, 476, 272, 476, 272, 476, 272, 454, 306, 21283, 4041, 744, 7473, 303, 7473, 3097, 272, 454, 18411, 258, 5228, 10070, 1104, 22388, 454, 5228, 7194, 1104, 7154, 454, 339, 25507, 9272, 15405, 320, 17342, 842, 3287, 264, 585, 1535, 538, 3403, 14061, 20889, 3890, 2639, 258, 332, 284, 10946, 5416, 994, 258, 11907, 815, 22388, 5416, 994, 28744, 16597, 269, 2865, 318, 21720, 263, 272, 25011, 271, 6012, 271, 7481, 604, 512, 2525, 1911, 912, 825, 1820, 2891, 15886, 15886, 15886, 15886, 15886, 6942, 5602, 12828, 912, 825, 1820, 9852, 1712, 5416, 4917, 0, 18411, 288, 1920, 5161, 540, 1535, 2818, 269, 1411, 616, 2016, 519, 4305, 547, 1433, 8184, 17914, 585, 891, 1535, 2818, 563, 2791, 616, 2016, 519, 1739, 1344, 827, 519, 29617, 538, 799, 596, 723, 547, 1433, 519, 17914, 1384, 303, 281, 898, 18575, 519, 1942, 540, 835, 19044, 540, 519, 8184, 563, 306, 281, 898, 18575, 519, 1297, 540, 2698, 2139, 16295, 538, 519, 8184, 563, 307, 281, 1403, 519, 2338, 540, 2139, 16295, 616, 1447, 982, 610, 3160, 547, 570, 267, 1287, 519, 1942, 540, 519, 8184, 19044, 4679, 547, 670, 563, 295, 281, 898, 18575, 519, 1007, 554, 27419, 1942, 563, 29991, 519, 2698, 1942, 547, 1433, 519, 17914, 585, 782, 519, 1920, 2818, 780, 9616, 281, 634, 17914, 616, 1433, 539, 835, 676, 835, 585, 782, 519, 1920, 2818, 780, 19152, 3898, 454, 5575, 1899, 281, 12866, 2230, 5498, 1706, 730, 9981, 623, 267, 306, 267, 307, 267, 295, 543, 1535, 6606, 692, 20479, 3898, 454, 19530, 519, 2698, 1942, 547, 1433, 519, 17914, 585, 782, 519, 2818, 540, 519, 1920, 780, 306, 21283, 4041, 5442, 303, 7473, 3097, 7785, 271, 476, 1015, 476, 276, 476, 20981, 271, 476, 278, 454, 306, 21283, 4041, 744, 7473, 303, 7473, 3097, 25396, 876, 454, 15008, 454, 12507, 330, 2835, 476, 276, 17914, 585, 3902, 476, 7785, 271, 1142, 543, 1964, 476, 273, 585, 3902, 476, 20981, 271, 1142, 563, 13707, 18820, 815, 476, 7785, 271, 265, 276, 266, 20981, 271, 265, 273, 815, 476, 25396, 876, 454, 18411, 335, 29679, 25722, 267, 327, 21726, 284, 14090, 17301, 267, 6358, 14061, 20889, 2891, 27328, 8243, 284, 271, 454, 339, 272, 284, 271, 454, 339, 273, 284, 271, 454, 6112, 1535, 912, 825, 952, 521, 285, 339, 912, 1038, 512, 272, 23785, 272, 454, 825, 3116, 912, 1038, 512, 273, 23785, 272, 454, 825, 521, 268, 284, 272, 454, 825, 1535, 268, 284, 272, 454, 28744, 6025, 272, 25722, 273, 994, 2745, 9638, 265, 339, 272, 266, 327, 265, 339, 273, 994, 0, 18411, 305, 1195, 568, 2469, 547, 10891, 5685, 1023, 540, 32017, 2552, 652, 538, 1010, 2852, 781, 2780, 22475, 269, 3097, 6097, 547, 519, 3652, 540, 16311, 267, 1966, 6898, 786, 581, 2139, 593, 1142, 2780, 607, 7824, 3758, 780, 3086, 972, 616, 715, 1297, 540, 5904, 543, 1152, 835, 540, 873, 814, 519, 7824, 3758, 269, 20858, 814, 6394, 631, 1297, 540, 20805, 337, 1161, 689, 1010, 2828, 269, 3097, 290, 641, 3539, 7824, 689, 2780, 547, 20805, 337, 633, 610, 689, 20805, 337, 633, 547, 2780, 3217, 4010, 476, 272, 8792, 269, 3097, 305, 1195, 814, 547, 5299, 7824, 547, 782, 715, 5904, 538, 5934, 630, 9953, 2711, 264, 942, 2009, 269, 3097, 2791, 616, 547, 1265, 713, 5934, 942, 269, 7490, 1294, 12726, 4530, 19247, 585, 9355, 780, 19152, 912, 5575, 1899, 786, 2270, 8870, 570, 910, 1297, 540, 1449, 2665, 563, 9202, 570, 3515, 1142, 786, 2270, 1079, 2230, 9674, 9981, 267, 715, 910, 1297, 540, 5904, 267, 631, 910, 1297, 540, 20805, 337, 1161, 780, 20479, 912, 19530, 519, 5934, 942, 630, 514, 3764, 264, 585, 1142, 1449, 2013, 538, 513, 1007, 1899, 780, 306, 21283, 4041, 5442, 303, 7473, 3097, 272, 454, 1015, 476, 274, 692, 306, 21283, 4041, 744, 7473, 303, 7473, 3097, 276, 692, 15008, 454, 9617, 585, 519, 19160, 540, 1620, 267, 1577, 721, 1297, 5904, 689, 476, 272, 547, 476, 1015, 543, 20805, 337, 1161, 689, 476, 272, 547, 476, 274, 269, 3097, 22873, 6053, 1152, 476, 272, 560, 2780, 814, 519, 7824, 780, 272, 560, 8792, 281, 20858, 12215, 519, 7824, 689, 476, 272, 560, 2780, 547, 476, 272, 560, 20805, 337, 633, 267, 865, 476, 272, 2780, 543, 476, 272, 20805, 337, 633, 814, 519, 7824, 3097, 476, 273, 526, 8792, 281, 1261, 12215, 519, 7824, 689, 476, 272, 560, 20805, 337, 633, 547, 476, 273, 526, 2780, 543, 7258, 646, 12215, 7824, 689, 476, 272, 560, 2780, 547, 476, 273, 526, 20805, 337, 633, 563, 476, 274, 6113, 2381, 1393, 281, 3767, 646, 814, 1079, 20805, 337, 1161, 609, 7824, 267, 865, 646, 12215, 519, 7824, 547, 476, 274, 6113, 543, 476, 275, 628, 2780, 1210, 476, 272, 560, 543, 476, 273, 526, 20805, 337, 633, 269, 3097, 13966, 2515, 646, 2907, 23652, 7824, 547, 476, 272, 560, 543, 476, 273, 526, 2780, 543, 814, 835, 20805, 337, 633, 10145, 269, 1924, 646, 12215, 7824, 883, 476, 274, 6113, 20805, 337, 633, 1210, 1022, 3097, 540, 519, 476, 272, 560, 610, 476, 273, 526, 2780, 563, 476, 275, 628, 8792, 281, 3767, 1101, 476, 275, 5904, 616, 2944, 543, 649, 723, 7824, 538, 782, 476, 274, 20805, 337, 1161, 269, 3097, 1924, 646, 3274, 12215, 7824, 883, 476, 276, 628, 267, 476, 277, 628, 543, 476, 278, 628, 2780, 1210, 1614, 20805, 337, 633, 6606, 563, 476, 276, 628, 8792, 281, 1261, 12215, 519, 7824, 883, 476, 279, 628, 267, 476, 280, 628, 543, 476, 1015, 628, 5904, 3097, 1210, 1614, 20805, 337, 1161, 6606, 563, 18257, 692, 339, 25507, 9272, 15405, 1721, 1775, 538, 2039, 6025, 2187, 825, 5286, 322, 267, 12639, 323, 284, 14090, 17301, 267, 6358, 14061, 20889, 15405, 825, 942, 284, 271, 454, 825, 524, 660, 284, 271, 454, 825, 26099, 284, 272, 454, 825, 19073, 284, 272, 454, 825, 952, 5286, 322, 2525, 272, 912, 1038, 524, 660, 284, 271, 454, 825, 3116, 912, 1038, 1247, 942, 283, 12639, 322, 912, 2018, 952, 26099, 283, 12639, 323, 912, 3546, 942, 815, 942, 1341, 26099, 454, 3546, 26099, 815, 19073, 454, 3546, 19073, 815, 19073, 1341, 19073, 454, 3546, 524, 660, 23785, 272, 454, 2018, 8640, 630, 335, 322, 13843, 5286, 323, 2187, 3546, 942, 284, 5503, 266, 12639, 323, 454, 3546, 524, 660, 23785, 272, 454, 2018, 19073, 23785, 272, 692, 825, 1820, 6262, 660, 266, 272, 994, 0, 18411, 28012, 19594, 814, 4607, 513, 1753, 7084, 547, 1265, 519, 2040, 540, 782, 9704, 538, 513, 1297, 715, 563, 16729, 1010, 25505, 2509, 2582, 7857, 1297, 267, 646, 30242, 547, 14578, 12337, 519, 2040, 540, 782, 9704, 2394, 519, 2040, 3294, 3587, 513, 2582, 7857, 1297, 780, 4692, 596, 2328, 513, 1982, 547, 12337, 519, 3803, 2582, 18251, 2040, 2496, 2026, 519, 1297, 715, 568, 1360, 2462, 267, 621, 568, 2016, 538, 519, 1739, 2196, 3259, 23876, 3898, 910, 715, 568, 3097, 21323, 607, 513, 5311, 540, 631, 7161, 267, 1141, 1142, 3625, 1775, 630, 271, 18016, 1775, 2999, 631, 264, 568, 6719, 676, 1079, 3097, 15759, 619, 910, 630, 6352, 5157, 3910, 546, 5157, 316, 1040, 901, 10522, 602, 519, 7857, 546, 5157, 316, 4386, 7003, 5157, 316, 1297, 540, 2053, 780, 2690, 1383, 267, 2715, 263, 273, 267, 272, 1070, 630, 272, 267, 273, 1070, 630, 273, 267, 280, 14587, 4564, 519, 1297, 476, 12208, 4200, 780, 19152, 912, 763, 1101, 1899, 3568, 513, 2582, 8870, 570, 267, 3954, 7627, 519, 1297, 540, 1449, 2665, 563, 10376, 1449, 2013, 6238, 609, 513, 2582, 8870, 631, 267, 799, 568, 519, 1297, 540, 1739, 2196, 27480, 23876, 7161, 563, 10376, 540, 519, 1985, 631, 3515, 3568, 1079, 2230, 9674, 9981, 281, 7003, 5157, 316, 543, 546, 5157, 316, 780, 20479, 912, 19530, 519, 2582, 18251, 2040, 585, 1142, 540, 519, 570, 1449, 2665, 538, 513, 1007, 1899, 780, 3519, 14259, 6493, 912, 271, 18016, 546, 5157, 316, 18016, 476, 280, 454, 272, 18016, 7003, 5157, 316, 18016, 476, 6200, 276, 454, 272, 18016, 631, 18016, 476, 10441, 454, 272, 18016, 570, 18016, 476, 1015, 692, 306, 21283, 4041, 5442, 303, 7473, 3097, 274, 454, 274, 454, 273, 476, 272, 454, 272, 476, 273, 454, 273, 476, 280, 454, 272, 454, 279, 476, 272, 454, 274, 454, 273, 476, 276, 454, 272, 476, 275, 454, 272, 476, 276, 692, 306, 21283, 4041, 744, 7473, 303, 7473, 3097, 275, 454, 279, 454, 272, 454, 15008, 454, 19111, 476, 272, 281, 634, 1297, 568, 476, 12208, 4200, 563, 2171, 4927, 5173, 519, 5551, 2040, 607, 281, 476, 272, 266, 272, 266, 273, 266, 280, 266, 280, 284, 273, 266, 273, 284, 275, 692, 19111, 476, 273, 281, 634, 1297, 568, 476, 9340, 9340, 1556, 563, 2171, 4927, 5173, 519, 5551, 2040, 607, 281, 476, 272, 266, 272, 266, 272, 266, 272, 266, 272, 266, 272, 266, 272, 266, 272, 284, 279, 692, 19111, 476, 274, 281, 634, 1297, 568, 476, 4649, 275, 276, 563, 2171, 4927, 5173, 519, 5551, 2040, 607, 281, 476, 276, 266, 276, 266, 275, 266, 276, 284, 272, 266, 280, 284, 272, 266, 271, 284, 272, 454, 18257, 692, 3698, 1159, 5091, 580, 3799, 2187, 825, 1159, 284, 271, 454, 825, 1247, 562, 285, 271, 912, 1038, 678, 284, 333, 260, 1015, 454, 1038, 562, 284, 333, 2260, 1015, 454, 1038, 1159, 23785, 337, 454, 825, 2132, 1159, 692, 339, 25507, 9272, 15405, 1721, 1775, 538, 2039, 6025, 2187, 825, 544, 25507, 9272, 15405, 825, 1159, 284, 271, 454, 825, 585, 795, 538, 2039, 9852, 2187, 1038, 513, 14720, 284, 14090, 17301, 267, 6358, 14061, 20889, 2891, 27328, 1038, 1159, 23785, 320, 265, 321, 454, 825, 1247, 7003, 19304, 4433, 332, 4297, 256, 284, 272, 912, 1038, 1159, 284, 8243, 5091, 580, 4433, 332, 994, 825, 1820, 4433, 332, 994, 0, 18411, 763, 2370, 3933, 330, 14560, 547, 1404, 609, 12673, 269, 2290, 1554, 646, 729, 2469, 547, 513, 4104, 269, 3097, 4002, 519, 1259, 547, 519, 4104, 646, 4718, 513, 8262, 10326, 263, 763, 9589, 3529, 540, 519, 4104, 1040, 3097, 763, 9059, 540, 519, 3529, 729, 602, 267, 1169, 6978, 540, 519, 3529, 729, 538, 519, 3898, 540, 5569, 22607, 3058, 930, 1871, 1040, 3097, 12507, 330, 6499, 547, 723, 891, 1826, 540, 3762, 269, 1809, 646, 666, 1491, 1152, 835, 269, 6435, 3933, 330, 547, 3442, 519, 1034, 3407, 6978, 780, 26705, 540, 519, 6978, 912, 320, 17070, 25239, 1673, 25239, 266, 323, 14870, 3917, 21147, 5541, 267, 1775, 4318, 269, 621, 3568, 513, 5569, 8066, 513, 6310, 4082, 267, 3097, 663, 519, 1871, 540, 602, 4082, 786, 581, 1871, 540, 602, 1880, 6978, 780, 324, 3052, 269, 476, 275, 266, 273, 268, 276, 266, 274, 266, 273, 268, 275, 454, 825, 1871, 281, 476, 273, 22562, 19152, 912, 825, 3689, 1899, 3568, 700, 263, 5591, 540, 3762, 593, 519, 10326, 1916, 825, 3962, 540, 519, 1985, 700, 1899, 2270, 513, 5569, 263, 2750, 16054, 1916, 20479, 912, 825, 7179, 513, 2582, 1899, 2348, 1871, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 6349, 281, 876, 6751, 29269, 3367, 338, 281, 476, 273, 267, 27088, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 2037, 30349, 267, 513, 3056, 8502, 540, 6531, 16475, 3435, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 2037, 30349, 779, 5692, 568, 547, 581, 519, 3056, 8502, 540, 13055, 6531, 3435, 5001, 269, 2037, 30349, 6087, 2228, 4213, 547, 946, 922, 8668, 5989, 547, 741, 8013, 5413, 269, 1635, 5356, 513, 24194, 540, 8810, 16475, 543, 2359, 2533, 267, 2037, 30349, 6499, 3549, 547, 535, 665, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 4905, 281, 3393, 6751, 29269, 3367, 338, 281, 476, 273, 267, 271, 4510, 454, 20578, 518, 1995, 814, 1831, 513, 8013, 1114, 328, 1807, 585, 3549, 267, 543, 621, 779, 16122, 602, 12478, 16900, 1921, 519, 6075, 3460, 2066, 782, 5867, 269, 2060, 519, 4797, 16411, 540, 14164, 267, 6443, 721, 585, 513, 1413, 693, 875, 547, 1628, 513, 10888, 3059, 5748, 538, 519, 4448, 5736, 1107, 2221, 543, 538, 519, 2104, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 18281, 715, 7666, 344, 523, 267, 6828, 8605, 16373, 15440, 693, 23489, 267, 786, 1865, 875, 547, 6707, 15407, 5985, 267, 6385, 11766, 1543, 267, 7001, 1483, 6066, 546, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 1321, 281, 3393, 6751, 29269, 3367, 338, 281, 476, 272, 267, 25313, 454, 288, 9490, 3364, 568, 8345, 2059, 519, 1259, 547, 519, 5769, 540, 12085, 267, 12077, 2484, 1932, 1082, 3457, 547, 960, 609, 543, 4383, 269, 898, 814, 1831, 2312, 602, 649, 3513, 991, 1454, 2362, 4398, 3593, 2833, 602, 666, 1450, 721, 547, 811, 3362, 543, 9470, 2406, 960, 609, 519, 5215, 540, 3457, 602, 786, 4166, 581, 538, 1142, 540, 938, 2729, 269, 9373, 519, 17187, 8818, 4838, 267, 9256, 536, 1824, 649, 666, 12777, 2911, 609, 267, 23972, 547, 267, 543, 1256, 1463, 609, 938, 4555, 267, 609, 11251, 5841, 4987, 267, 627, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 1321, 281, 1789, 6751, 29269, 3367, 338, 281, 476, 272, 267, 4281, 272, 454, 31166, 12958, 6266, 540, 13796, 1239, 269, 1809, 875, 798, 596, 12260, 922, 1871, 286, 1215, 798, 596, 11282, 519, 3309, 3001, 2694, 602, 1590, 2097, 1927, 950, 3384, 707, 14164, 1587, 286, 1548, 616, 519, 1883, 2591, 9619, 676, 4578, 607, 513, 6796, 286, 1215, 1281, 6531, 7384, 896, 12340, 543, 1921, 519, 18765, 540, 7913, 543, 8061, 302, 1186, 1548, 568, 519, 1764, 540, 519, 16286, 4346, 286, 1548, 568, 519, 1870, 16122, 585, 15465, 17270, 286, 5192, 782, 891, 2055, 543, 7366, 811, 899, 873, 12943, 693, 519, 476, 1240, 628, 13192, 5890, 334, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 1321, 281, 1789, 6751, 29269, 3367, 338, 281, 476, 273, 267, 28873, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 476, 2190, 8253, 542, 814, 1044, 3957, 968, 289, 1258, 2763, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 13192, 5890, 334, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 267, 1715, 3840, 269, 476, 2190, 8253, 542, 568, 2407, 28129, 2518, 3860, 3059, 6725, 267, 2029, 543, 6197, 8116, 602, 10905, 7580, 2093, 609, 16419, 28365, 11056, 269, 2060, 513, 3376, 1174, 540, 519, 1148, 540, 2757, 6725, 267, 1007, 2923, 267, 10618, 543, 1514, 3310, 267, 476, 2190, 8253, 542, 19918, 17358, 875, 547, 598, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 6021, 281, 1428, 7537, 29269, 3367, 338, 281, 476, 272, 267, 5038, 280, 454, 15371, 707, 14164, 3028, 568, 8220, 6517, 267, 5321, 267, 14233, 267, 28707, 267, 12514, 610, 824, 3457, 267, 835, 2243, 13793, 338, 538, 519, 3666, 1107, 875, 798, 596, 2965, 1118, 2724, 689, 713, 3028, 286, 634, 2702, 547, 2490, 707, 14164, 3028, 883, 7443, 3340, 519, 2702, 547, 1711, 513, 1395, 564, 1436, 4640, 602, 568, 8465, 267, 27249, 543, 2324, 585, 596, 538, 1483, 6066, 269, 898, 1590, 581, 513, 12001, 267, 12347, 8045, 4640, 602, 782, 8639, 1107, 689, 5561, 547, 519, 4604, 1107, 786, 581, 2111, 547, 1174, 543, 2440, 515, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 5400, 281, 1428, 7537, 29269, 3367, 338, 281, 476, 273, 267, 3607, 280, 454, 763, 3747, 585, 3906, 547, 4228, 741, 5989, 547, 2789, 8668, 5054, 899, 519, 6531, 267, 593, 1790, 8145, 1047, 267, 5985, 267, 3142, 707, 1378, 3926, 630, 289, 312, 7495, 264, 543, 519, 5769, 540, 12085, 630, 31166, 264, 5170, 547, 1332, 269, 1306, 713, 10316, 5989, 4679, 267, 519, 4161, 547, 6895, 519, 3354, 540, 891, 1949, 4679, 538, 4320, 543, 6988, 269, 769, 1010, 8400, 693, 476, 1240, 628, 13192, 5890, 334, 267, 15537, 595, 582, 344, 267, 12751, 8232, 5345, 13370, 626, 693, 1325, 1068, 20603, 267, 786, 1397, 875, 5265, 27358, 543, 7307, 3354, 6189, 666, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 5400, 281, 876, 7537, 29269, 3367, 338, 281, 476, 272, 267, 280, 1724, 454, 2691, 621, 2501, 547, 14164, 538, 519, 13055, 267, 12077, 519, 5010, 2679, 543, 24756, 6990, 267, 513, 4324, 711, 3478, 519, 3007, 621, 19262, 568, 1648, 4398, 267, 543, 14164, 781, 1463, 1764, 593, 513, 15777, 267, 22928, 1604, 950, 8704, 538, 5100, 5656, 269, 19402, 1631, 2973, 2029, 729, 6035, 4062, 22596, 543, 3366, 609, 1448, 3435, 602, 2154, 1713, 1949, 5610, 547, 32427, 622, 543, 11766, 269, 1703, 4769, 1405, 2291, 513, 1412, 9008, 1524, 262, 1935, 602, 666, 4383, 543, 6895, 519, 1259, 513, 12829, 12706, 328, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 5881, 281, 1789, 7537, 29269, 3367, 338, 281, 476, 273, 267, 18733, 454, 298, 17671, 16340, 26511, 3590, 630, 298, 7034, 264, 786, 4183, 519, 14232, 476, 1240, 628, 13192, 5890, 334, 1923, 7711, 28830, 2750, 17763, 538, 513, 1715, 3840, 3377, 17245, 827, 519, 834, 6124, 8668, 585, 519, 8892, 1701, 634, 17245, 786, 3382, 875, 2462, 3549, 616, 23142, 610, 12561, 519, 1007, 8668, 585, 519, 2104, 543, 786, 581, 2083, 4364, 593, 519, 1163, 334, 6989, 1063, 4873, 476, 278, 11219, 2317, 476, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 1715, 3840, 269, 918, 7034, 814, 1279, 1044, 513, 6205, 538, 519, 1646, 540, 519, 31076, 2528, 540, 9705, 269, 1306, 519, 1883, 1857, 3028, 3376, 322, 2120, 540, 9705, 2483, 9802, 269, 476, 2537, 267, 476, 1001, 277, 476, 6734, 281, 3393, 7537, 29269, 3367, 338, 281, 476, 272, 267, 26116, 454, 763, 2856, 540, 9236, 1239, 538, 5163, 630, 520, 519, 9300, 1377, 264, 547, 1239, 693, 1964, 630, 514, 513, 8262, 4578, 7746, 23999, 264, 609, 16762, 12642, 538, 519, 6531, 568, 1360, 13267, 547, 519, 4853, 14164, 5823, 269, 634, 1966, 8262, 4578, 21527, 723, 267, 2705, 267, 568, 1569, 547, 602, 1239, 538, 5163, 693, 519, 9300, 4087, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 8845, 19395, 267, 18328, 302, 540, 5131, 310, 1511, 267, 786, 1865, 875, 607, 14164, 568, 5051, 7550, 676, 4853, 6990, 267, 972, 568, 2469, 547, 581, 606, 2799, 3747, 585, 9300, 1239, 689, 519, 9018, 2483, 9802, 269, 476, 2420, 267, 476, 1001, 277, 476, 4962, 281, 876, 6751, 29269, 3367, 338, 281, 476, 272, 267, 279, 8287, 0, 294, 8085, 293, 15562, 3036, 2464, 267, 1325, 320, 269, 2443, 30557, 22765, 11546, 788, 538, 519, 13323, 540, 6792, 267, 594, 1085, 10165, 936, 513, 3043, 1606, 663, 11824, 267, 2250, 513, 9381, 2470, 8190, 543, 2509, 606, 10172, 6406, 2782, 6830, 1175, 909, 519, 13272, 269, 898, 729, 3592, 519, 29224, 1554, 540, 519, 1032, 267, 2110, 676, 513, 4110, 610, 1079, 267, 543, 19711, 28323, 519, 1554, 1354, 6531, 539, 3388, 538, 513, 3636, 9252, 563, 1607, 729, 513, 3162, 594, 22821, 1406, 4397, 563, 2467, 616, 811, 982, 476, 1789, 5195, 540, 11824, 12506, 689, 519, 8419, 1533, 1899, 547, 5023, 540, 16353, 7345, 269, 16047, 2528, 543, 3043, 1606, 663, 759, 2176, 616, 890, 653, 1229, 782, 2059, 621, 563, 7212, 621, 779, 2653, 547, 18178, 593, 513, 4786, 267, 1810, 1406, 26777, 17665, 779, 13323, 11076, 269, 6762, 8134, 11100, 609, 2413, 7873, 657, 267, 20730, 267, 14060, 543, 13447, 28503, 563, 14532, 568, 782, 936, 269, 2290, 543, 513, 3368, 5195, 689, 1141, 594, 530, 12184, 883, 519, 13323, 568, 519, 3135, 540, 835, 540, 519, 811, 12300, 12959, 540, 519, 6406, 2782, 269, 901, 1032, 7436, 519, 476, 5611, 628, 16683, 540, 519, 11135, 540, 16353, 7345, 563, 763, 2749, 540, 16353, 729, 513, 2565, 2804, 543, 4108, 13398, 585, 519, 28583, 2329, 269, 16353, 7345, 3177, 12062, 585, 20752, 10136, 543, 4108, 7727, 563, 4002, 4119, 269, 476, 276, 267, 476, 5908, 275, 267, 513, 18239, 540, 476, 1240, 5742, 9635, 267, 3366, 676, 681, 792, 23670, 269, 6424, 10787, 4048, 583, 267, 9411, 519, 15922, 538, 606, 4674, 547, 2673, 621, 1055, 267, 26354, 519, 6370, 269, 5742, 9635, 22121, 3595, 609, 519, 22898, 17906, 267, 835, 540, 519, 3162, 779, 4401, 743, 611, 12959, 4721, 269, 2311, 835, 1448, 2038, 538, 519, 4339, 267, 10787, 4048, 583, 22579, 519, 8360, 267, 968, 291, 600, 333, 519, 8731, 6244, 3996, 267, 2407, 18286, 6619, 3034, 763, 5742, 7173, 9229, 267, 2921, 936, 519, 585, 1206, 1310, 513, 3126, 540, 2244, 3535, 338, 269, 5637, 585, 1206, 1869, 1796, 267, 543, 789, 616, 3769, 593, 519, 17665, 13323, 11076, 6406, 2782, 20417, 563, 4002, 519, 13009, 454, 763, 6406, 2782, 20417, 568, 513, 1582, 28621, 3660, 8905, 540, 476, 1240, 13515, 2059, 519, 6316, 540, 519, 15922, 267, 8151, 689, 2025, 20752, 13122, 2572, 547, 519, 4890, 6370, 3033, 338, 563, 4002, 519, 15964, 594, 10272, 267, 556, 10276, 716, 832, 689, 693, 2547, 1614, 2829, 1558, 693, 10783, 21546, 267, 519, 6830, 593, 519, 7532, 2427, 540, 519, 15922, 779, 13675, 267, 547, 1665, 519, 6370, 779, 476, 14983, 628, 16683, 269, 9050, 2367, 538, 12457, 267, 15144, 26977, 17991, 513, 666, 12061, 4724, 519, 1216, 1247, 1776, 1895, 22415, 1117, 2066, 519, 15989, 267, 1660, 22806, 538, 1688, 267, 547, 513, 5679, 3326, 547, 2259, 15246, 563, 27001, 23405, 789, 8179, 12094, 543, 717, 1807, 1228, 896, 519, 7372, 267, 15839, 30617, 3330, 519, 6830, 269, 10783, 21546, 729, 3710, 1310, 519, 2782, 540, 476, 8687, 273, 269, 898, 23384, 20073, 687, 543, 24428, 519, 772, 2529, 269, 4108, 998, 2622, 2782, 4083, 267, 543, 1631, 621, 568, 513, 2817, 19866, 8092, 5658, 13950, 676, 519, 1533, 563, 288, 7542, 787, 11878, 2476, 568, 10783, 28150, 525, 267, 799, 9856, 539, 519, 7178, 2427, 540, 519, 15922, 779, 13675, 269, 9521, 10783, 21546, 267, 10783, 28150, 525, 568, 13234, 27352, 267, 676, 519, 667, 879, 874, 514, 6816, 5244, 543, 16047, 8274, 269, 769, 476, 1001, 272, 621, 729, 3773, 547, 519, 2817, 11565, 585, 19866, 27264, 779, 5903, 540, 3013, 779, 4107, 29510, 19866, 23089, 1813, 547, 4049, 9381, 11761, 563, 9617, 5087, 540, 16353, 7345, 267, 29965, 2917, 3557, 5244, 18795, 593, 519, 3135, 540, 519, 2063, 2101, 6370, 540, 519, 6406, 2782, 269, 634, 11135, 540, 29965, 2917, 3576, 1747, 4989, 476, 273, 268, 280, 267, 476, 5908, 276, 267, 543, 3366, 547, 519, 7001, 540, 16353, 676, 519, 5742, 563, 763, 6288, 19646, 5195, 540, 512, 29168, 267, 30401, 543, 15456, 4609, 267, 1082, 540, 799, 616, 1869, 12617, 269, 5221, 519, 6370, 7018, 538, 519, 2112, 779, 3803, 3018, 267, 621, 1419, 27861, 8806, 607, 513, 3723, 16694, 538, 6406, 2782, 1686, 267, 855, 585, 2199, 7264, 922, 1650, 568, 1898, 563, 17606, 779, 2731, 7415, 602, 891, 28583, 919, 18423, 1934, 543, 4769, 1406, 2196, 543, 10692, 2394, 519, 15280, 1439, 2223, 6288, 678, 9734, 853, 864, 344, 8493, 1676, 1767, 563, 294, 731, 1676, 8057, 909, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 337, 272, 284, 6358, 2891, 532, 516, 572, 1714, 29194, 1003, 3266, 1483, 281, 19515, 328, 272, 284, 6358, 2891, 532, 516, 572, 1714, 29194, 1003, 3266, 16697, 9222, 281, 19515, 337, 273, 284, 6358, 2891, 532, 516, 572, 1714, 5302, 1495, 334, 1003, 3266, 1483, 281, 19515, 328, 273, 284, 6358, 2891, 532, 516, 572, 1714, 5302, 1495, 334, 1003, 3266, 16697, 9222, 281, 834, 2020, 328, 272, 267, 1775, 273, 284, 328, 272, 18622, 2897, 3488, 328, 12887, 329, 30670, 1775, 273, 18622, 2897, 3488, 328, 12887, 329, 17210, 337, 272, 267, 1775, 272, 267, 678, 273, 267, 1775, 273, 25507, 16868, 272, 1070, 1950, 9217, 272, 1070, 703, 16868, 273, 1070, 1950, 9217, 273, 2020, 322, 272, 14352, 337, 272, 1341, 1775, 272, 994, 322, 273, 14352, 337, 273, 1341, 1775, 273, 2020, 4046, 340, 652, 320, 815, 3403, 2891, 4302, 26982, 699, 554, 27468, 267, 1412, 8999, 541, 262, 2073, 1412, 6135, 541, 262, 2073, 1412, 20123, 328, 2364, 541, 262, 522, 1412, 323, 1204, 597, 9166, 834, 2020, 2745, 19629, 333, 327, 659, 328, 754, 334, 4012, 807, 1862, 315, 333, 15419, 2745, 2891, 10310, 315, 333, 15419, 604, 1365, 340, 652, 320, 2652, 834, 8999, 541, 257, 10778, 8931, 825, 1267, 5964, 5334, 6373, 284, 322, 272, 25239, 273, 454, 825, 1267, 5964, 5334, 6373, 318, 935, 318, 296, 284, 1598, 630, 14310, 5964, 5334, 6373, 994, 825, 1267, 5964, 5334, 6373, 318, 935, 24503, 5964, 284, 14310, 5964, 5334, 6373, 26769, 24503, 622, 4590, 825, 1267, 5964, 5334, 6373, 318, 641, 340, 652, 334, 284, 14310, 5964, 5334, 6373, 2608, 910, 272, 692, 825, 1820, 6600, 257, 5055, 2040, 320, 1264, 10937, 1965, 2433, 2715, 14310, 5964, 5334, 6373, 318, 935, 318, 296, 18622, 2897, 3488, 329, 12887, 328, 10807, 348, 15419, 825, 1820, 6600, 257, 601, 17788, 5964, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 5334, 6373, 318, 935, 24503, 5964, 348, 834, 2020, 825, 1820, 6600, 257, 601, 1566, 340, 652, 334, 632, 1609, 324, 1003, 3266, 2433, 2715, 14310, 5964, 5334, 6373, 318, 641, 340, 652, 334, 348, 15419, 825, 681, 318, 9418, 284, 6358, 19629, 526, 3150, 320, 2357, 1714, 1267, 5964, 1483, 286, 1412, 338, 262, 1412, 333, 262, 2433, 19515, 8931, 825, 952, 681, 318, 9418, 2652, 834, 338, 257, 10778, 1038, 1820, 6600, 257, 5055, 2040, 320, 1483, 1965, 2715, 337, 272, 266, 337, 273, 348, 15419, 604, 1365, 340, 652, 320, 2652, 834, 6135, 541, 257, 23241, 825, 1267, 5964, 318, 6135, 320, 284, 322, 272, 2275, 273, 454, 825, 1267, 5964, 318, 6135, 320, 318, 935, 318, 296, 284, 1193, 31114, 5964, 318, 6135, 320, 994, 825, 1267, 5964, 318, 6135, 320, 318, 935, 24503, 5964, 284, 14310, 5964, 318, 6135, 320, 26769, 24503, 622, 4590, 825, 1267, 5964, 318, 6135, 320, 318, 641, 340, 652, 334, 284, 14310, 5964, 318, 6135, 320, 2608, 910, 272, 28329, 825, 1820, 6600, 257, 5055, 1964, 320, 1264, 10937, 1965, 2433, 2715, 14310, 5964, 318, 6135, 320, 318, 935, 318, 296, 18622, 2897, 3488, 329, 12887, 328, 10807, 348, 15419, 825, 1820, 6600, 257, 601, 17788, 5964, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 318, 6135, 320, 318, 935, 24503, 5964, 348, 15419, 825, 1820, 6600, 257, 601, 1566, 340, 652, 334, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 318, 6135, 320, 318, 641, 340, 652, 334, 348, 15419, 825, 681, 318, 9418, 284, 6358, 19629, 526, 3150, 320, 2357, 1714, 1267, 5964, 1483, 286, 1412, 338, 262, 1412, 333, 262, 2433, 19515, 8931, 825, 952, 681, 318, 9418, 2525, 834, 338, 257, 10778, 1038, 1820, 6600, 257, 5055, 1964, 320, 1483, 1965, 2715, 337, 272, 8573, 273, 348, 15419, 604, 1365, 340, 652, 320, 2525, 834, 20123, 328, 2364, 541, 257, 1384, 825, 1267, 5964, 8548, 738, 328, 2364, 30685, 284, 322, 272, 265, 322, 273, 454, 825, 1267, 5964, 8548, 738, 328, 2364, 30685, 318, 935, 10983, 284, 1598, 31114, 5964, 8548, 738, 328, 2364, 30685, 994, 825, 1267, 5964, 8548, 738, 328, 2364, 30685, 318, 935, 24503, 5964, 284, 14310, 5964, 8548, 738, 328, 2364, 30685, 26769, 24503, 622, 4590, 825, 1267, 5964, 8548, 738, 328, 2364, 30685, 318, 641, 340, 652, 334, 284, 14310, 5964, 8548, 738, 328, 2364, 30685, 2608, 910, 272, 692, 825, 1820, 6600, 257, 5055, 3818, 2364, 30685, 1965, 281, 2715, 14310, 5964, 8548, 738, 328, 2364, 30685, 318, 935, 10983, 18622, 2897, 3488, 329, 12887, 328, 10807, 348, 15419, 825, 1820, 6600, 257, 601, 17788, 5964, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 8548, 738, 328, 2364, 30685, 318, 935, 24503, 5964, 348, 15419, 825, 1820, 6600, 257, 601, 1566, 340, 652, 334, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 8548, 738, 328, 2364, 30685, 318, 641, 340, 652, 334, 348, 15419, 825, 681, 318, 9418, 284, 6358, 19629, 526, 3150, 320, 2357, 1714, 1267, 5964, 1483, 286, 1412, 338, 262, 1412, 333, 262, 2433, 19515, 8931, 825, 952, 681, 318, 9418, 2525, 834, 338, 257, 10778, 1038, 1820, 6600, 257, 5055, 3818, 2364, 30685, 1483, 1965, 2715, 337, 272, 265, 337, 273, 348, 15419, 604, 1365, 340, 652, 320, 2525, 834, 323, 1204, 597, 257, 1384, 825, 1267, 5964, 5091, 643, 1707, 284, 322, 272, 11305, 273, 454, 825, 1267, 5964, 5091, 643, 1707, 318, 935, 10983, 284, 1598, 31114, 5964, 5091, 643, 1707, 994, 825, 1267, 5964, 5091, 643, 1707, 318, 935, 24503, 5964, 284, 14310, 5964, 5091, 643, 1707, 26769, 24503, 622, 4590, 825, 1267, 5964, 5091, 643, 1707, 318, 641, 340, 652, 334, 284, 14310, 5964, 5091, 643, 1707, 2608, 910, 272, 692, 825, 1820, 6600, 257, 5055, 6498, 1965, 281, 2715, 14310, 5964, 5091, 643, 1707, 318, 935, 10983, 18622, 2897, 3488, 329, 12887, 328, 10807, 348, 15419, 825, 1820, 6600, 257, 601, 17788, 5964, 632, 1609, 324, 1003, 3266, 1965, 281, 2715, 14310, 5964, 5091, 643, 1707, 318, 935, 24503, 5964, 348, 15419, 825, 1820, 6600, 257, 601, 1566, 340, 652, 334, 632, 1609, 324, 1003, 3266, 1965, 2715, 14310, 5964, 5091, 643, 1707, 318, 641, 340, 652, 334, 348, 15419, 825, 681, 318, 9418, 284, 6358, 19629, 526, 3150, 320, 2357, 1714, 1267, 5964, 1483, 286, 1412, 338, 262, 1412, 333, 262, 2433, 19515, 8931, 825, 952, 681, 318, 9418, 2525, 834, 338, 257, 10778, 1038, 1820, 6600, 257, 5055, 6498, 1483, 1965, 2715, 337, 272, 29265, 273, 348, 8442, 0, 12163, 11415, 329, 18443, 18258, 454, 12041, 281, 645, 2246, 328, 717, 454, 290, 13072, 281, 700, 3554, 590, 1421, 5291, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 13040, 3393, 276, 11152, 22812, 2091, 30087, 19195, 6361, 8584, 268, 11415, 2914, 603, 5991, 334, 268, 1598, 1606, 5902, 268, 9994, 539, 692, 10112, 9892, 1384, 763, 3483, 540, 713, 4161, 568, 547, 2744, 15334, 609, 3097, 2006, 760, 6819, 8638, 780, 2237, 543, 10505, 513, 5124, 1982, 602, 24693, 513, 5569, 689, 3097, 1492, 3593, 543, 16493, 621, 1394, 538, 1614, 1114, 2081, 1384, 265, 2060, 782, 5022, 538, 9258, 563, 265, 2060, 1913, 538, 9258, 1931, 267, 855, 5022, 1369, 1142, 2262, 538, 3097, 476, 519, 2953, 1931, 563, 265, 2060, 782, 1913, 538, 2953, 1931, 267, 855, 5022, 20328, 1369, 3097, 476, 519, 1913, 780, 20479, 540, 707, 1982, 1058, 1413, 899, 713, 1384, 8923, 4283, 513, 5569, 540, 1257, 630, 1492, 8273, 519, 1732, 2567, 1703, 616, 513, 1906, 2553, 610, 15361, 602, 596, 949, 1265, 13561, 454, 2791, 9411, 834, 2467, 616, 513, 1906, 2553, 610, 15361, 602, 596, 949, 1265, 13561, 2668, 3767, 795, 18443, 621, 912, 11770, 333, 1695, 546, 333, 604, 586, 600, 579, 1195, 512, 1695, 339, 1236, 322, 7398, 887, 694, 340, 336, 514, 327, 322, 564, 649, 325, 513, 5736, 552, 516, 327, 307, 454, 8518, 344, 1265, 949, 596, 602, 15361, 610, 2553, 1906, 513, 616, 1703, 454, 699, 327, 307, 5736, 513, 649, 325, 694, 340, 336, 514, 327, 322, 564, 887, 1236, 322, 7398, 512, 1695, 339, 579, 1195, 586, 600, 546, 333, 604, 586, 323, 333, 1695, 454, 12163, 11415, 284, 1598, 9272, 2891, 8923, 4283, 513, 5569, 540, 1257, 630, 1492, 8273, 519, 1732, 2567, 27328, 2745, 3488, 2791, 9411, 834, 346, 271, 348, 2668, 3767, 795, 18443, 621, 281, 29717, 8971, 30415, 11723, 3698, 9258, 30415, 4289, 2187, 825, 1913, 815, 11713, 825, 2262, 815, 11713, 825, 585, 1347, 538, 5569, 4289, 912, 1038, 952, 1347, 2652, 1412, 1412, 912, 2018, 1913, 6910, 3488, 8339, 21860, 27182, 4917, 2018, 2262, 815, 11713, 1038, 3116, 912, 2018, 2262, 6910, 263, 10420, 994, 825, 1913, 6910, 3488, 8339, 21860, 27182, 11723, 825, 2132, 1412, 29717, 21860, 263, 516, 951, 539, 263, 6919, 11723, 11415, 4289, 815, 1592, 30415, 994, 2745, 2891, 2668, 21860, 30415, 4289, 264, 11468, 18737, 272, 7481, 2745, 263, 516, 2091, 30415, 4289, 4917, 2745, 263, 516, 2091, 30415, 4289, 264, 11468, 18737, 272, 7481, 12163, 2745, 2891, 2668, 21860, 30415, 4289, 273, 264, 11468, 18737, 272, 7481, 18851, 0, 320, 815, 703, 9272, 2891, 8563, 9924, 31589, 10948, 18547, 281, 27328, 321, 815, 703, 9272, 2891, 4138, 13194, 9686, 21268, 21833, 24012, 281, 27328, 322, 815, 513, 910, 536, 454, 604, 513, 3436, 476, 271, 912, 825, 1820, 2891, 32553, 4138, 4814, 9261, 3522, 476, 13077, 16648, 3378, 25000, 20046, 11012, 10780, 23485, 16648, 9924, 23783, 19628, 5602, 825, 1820, 6600, 257, 396, 510, 12811, 25000, 16648, 3264, 23783, 21170, 13150, 9841, 11714, 9924, 31589, 10948, 24012, 281, 2715, 322, 1315, 513, 281, 1547, 273, 325, 348, 5602, 825, 1004, 815, 703, 9272, 2891, 10948, 25986, 6459, 12811, 21170, 13150, 9841, 11012, 30324, 31589, 9686, 17221, 7549, 13833, 281, 27328, 825, 1820, 6600, 257, 10528, 23485, 16648, 9924, 23783, 16044, 482, 4138, 4814, 9261, 9924, 21660, 16068, 9686, 4709, 22147, 3378, 11012, 30324, 31589, 9686, 17221, 18547, 281, 2715, 322, 1315, 1004, 281, 1547, 273, 325, 348, 5602, 19197, 524, 2999, 476, 271, 912, 825, 1820, 2891, 32553, 4138, 4814, 9261, 3522, 476, 13077, 16648, 3378, 25000, 20046, 11012, 27188, 16648, 9924, 23783, 19628, 15419, 0, 1485, 272, 815, 703, 9272, 2891, 4736, 7549, 17201, 9841, 7549, 3378, 17095, 9261, 11714, 10780, 21268, 8563, 9924, 13953, 18194, 12811, 9841, 281, 27328, 10946, 815, 703, 9272, 2891, 6459, 7846, 10948, 20732, 4138, 13953, 476, 16417, 13194, 7846, 23783, 4344, 19277, 11714, 17095, 9261, 281, 27328, 17058, 815, 476, 272, 454, 6112, 1554, 272, 2999, 3193, 912, 825, 1554, 272, 815, 1554, 272, 2608, 476, 272, 269, 272, 454, 825, 2395, 815, 2395, 1341, 476, 272, 454, 825, 1820, 5560, 904, 9239, 0, 18257, 1477, 6524, 1210, 713, 3009, 267, 1118, 930, 2242, 865, 602, 621, 666, 960, 1732, 1477, 272, 6155, 5877, 543, 1104, 782, 2838, 15004, 1354, 4881, 621, 23228, 273, 16638, 6494, 318, 16942, 19572, 1683, 519, 4757, 543, 10957, 630, 27665, 689, 799, 596, 1616, 547, 6494, 4757, 264, 514, 2272, 543, 10957, 6606, 267, 782, 538, 2539, 5022, 1477, 274, 269, 11754, 2012, 543, 4757, 7329, 781, 630, 1993, 18579, 264, 538, 1412, 655, 5661, 262, 8675, 23228, 18257, 5897, 5814, 7510, 339, 1206, 343, 274, 8587, 1948, 10398, 3888, 7510, 339, 1206, 343, 274, 1477, 5814, 533, 5984, 644, 1470, 8587, 1948, 4647, 1210, 24440, 607, 621, 3947, 5470, 1210, 10398, 1477, 5814, 30220, 1477, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 672, 1948, 10398, 3888, 4633, 13440, 10744, 1477, 5814, 28957, 825, 1948, 10398, 3888, 28957, 1477, 5814, 1357, 321, 4900, 518, 567, 1948, 10398, 3888, 1357, 321, 4900, 518, 1477, 5814, 15259, 1477, 5814, 1159, 339, 680, 756, 8587, 1948, 10398, 3888, 1159, 339, 680, 756, 1477, 5814, 4351, 1477, 5814, 942, 24653, 19956, 815, 7510, 339, 1206, 343, 274, 269, 8181, 14052, 341, 7860, 815, 2599, 10947, 19187, 1399, 3488, 341, 7860, 20298, 3433, 815, 2599, 10947, 19187, 1399, 3488, 3433, 20298, 19956, 15630, 19187, 1399, 3488, 341, 4069, 3299, 9739, 314, 271, 4940, 573, 3418, 19956, 15630, 19187, 1399, 3488, 3433, 3299, 476, 5002, 3418, 5897, 3698, 3717, 5416, 644, 1470, 8029, 825, 2599, 4732, 599, 5416, 644, 1470, 3418, 825, 2599, 269, 14725, 4517, 310, 7159, 14052, 5897, 3698, 970, 318, 13765, 9638, 987, 8029, 825, 970, 815, 15259, 29624, 4732, 680, 924, 868, 9638, 987, 3418, 825, 952, 970, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 2026, 519, 6207, 1871, 540, 519, 11664, 540, 1535, 8519, 267, 1018, 5949, 888, 9989, 713, 3113, 1413, 899, 519, 8086, 540, 1022, 3105, 11708, 596, 723, 11516, 3481, 2496, 4131, 781, 17412, 1018, 649, 723, 834, 29171, 2642, 257, 538, 17778, 476, 272, 910, 476, 277, 780, 5472, 540, 519, 3252, 596, 9411, 538, 891, 3268, 941, 540, 519, 1106, 1109, 269, 1109, 1284, 11567, 1018, 5949, 950, 1923, 320, 347, 2799, 543, 8519, 269, 1109, 19130, 538, 519, 1739, 1025, 3471, 593, 707, 10916, 6656, 563, 2691, 513, 568, 2318, 267, 519, 3113, 568, 602, 540, 513, 3799, 264, 13322, 1693, 13090, 1599, 563, 2691, 513, 568, 2942, 267, 519, 3113, 568, 602, 540, 513, 3799, 264, 13322, 1693, 13090, 1599, 780, 2026, 1923, 320, 347, 4679, 267, 519, 3113, 3587, 811, 13322, 1693, 13090, 563, 2026, 1923, 320, 347, 11081, 267, 519, 3113, 3587, 811, 13322, 1693, 13090, 780, 5153, 476, 278, 269, 9373, 519, 1739, 3252, 883, 519, 1109, 9375, 269, 8641, 519, 3252, 676, 10296, 1109, 543, 8939, 476, 277, 281, 313, 24092, 269, 1109, 28220, 519, 11708, 593, 707, 10916, 6656, 269, 1548, 5949, 547, 519, 3113, 540, 519, 2385, 1599, 1109, 950, 596, 2799, 519, 1871, 1373, 3773, 547, 1535, 286, 1109, 634, 1871, 1373, 3773, 593, 568, 1572, 519, 3586, 2165, 269, 9894, 519, 11708, 3444, 1657, 610, 2630, 519, 5169, 2059, 519, 7299, 7852, 286, 5153, 476, 279, 269, 9373, 519, 1739, 3252, 883, 519, 1109, 9375, 269, 8641, 519, 3252, 676, 10296, 1109, 543, 8939, 476, 277, 281, 313, 24092, 269, 1109, 28220, 519, 11708, 593, 707, 10916, 6656, 269, 1548, 5949, 547, 519, 3113, 540, 519, 2385, 1599, 1109, 950, 596, 8519, 519, 1871, 540, 519, 3586, 2165, 286, 9894, 519, 11708, 3444, 1657, 610, 2630, 519, 5169, 2059, 519, 7299, 7852, 2496, 4131, 781, 17412, 1018, 649, 723, 834, 29171, 2642, 257, 538, 17778, 476, 278, 910, 476, 279, 780, 5472, 540, 519, 3252, 596, 9411, 538, 891, 3268, 941, 540, 519, 1106, 1109, 269, 1109, 1284, 11567, 1018, 5949, 950, 524, 2799, 543, 8519, 269, 1109, 19130, 538, 519, 1739, 1025, 3471, 593, 707, 10916, 6656, 563, 2026, 524, 4679, 267, 519, 3113, 10593, 13322, 1693, 13090, 563, 2026, 524, 11081, 267, 519, 3113, 10593, 13322, 1693, 13090, 780, 2691, 524, 568, 2318, 267, 519, 3113, 786, 3444, 13322, 1693, 13090, 519, 5169, 2059, 519, 7299, 7852, 563, 2691, 524, 568, 2942, 267, 519, 3113, 786, 3444, 13322, 1693, 13090, 519, 5169, 2059, 519, 7299, 7852, 563, 4131, 781, 2322, 713, 782, 1927, 1631, 676, 16460, 519, 1739, 2259, 2042, 269, 1109, 630, 9616, 281, 1411, 786, 581, 4280, 547, 2626, 2055, 3823, 891, 2259, 2042, 693, 519, 1439, 540, 519, 2534, 24355, 20797, 476, 272, 269, 9717, 1109, 267, 2626, 519, 1739, 1510, 24275, 780, 513, 264, 4024, 519, 3113, 581, 602, 540, 606, 2810, 610, 513, 13302, 1599, 286, 1109, 1548, 1871, 5280, 596, 3313, 713, 286, 536, 264, 4024, 519, 3113, 540, 519, 1599, 3444, 519, 7299, 7852, 1657, 610, 2630, 519, 5169, 286, 1109, 1548, 1871, 5280, 596, 3313, 713, 286, 524, 264, 4024, 519, 3113, 540, 519, 1599, 581, 811, 7299, 610, 8880, 950, 3379, 547, 519, 3113, 540, 519, 2385, 1599, 1109, 286, 1109, 1548, 1871, 5280, 596, 3313, 713, 2496, 20797, 476, 273, 563, 21413, 24275, 267, 799, 1899, 786, 581, 811, 7299, 267, 602, 540, 1109, 610, 1109, 286, 1109, 11512, 875, 596, 5462, 713, 563, 20797, 476, 274, 563, 21413, 24275, 267, 799, 1899, 786, 581, 811, 7299, 267, 602, 540, 1109, 610, 1109, 286, 1109, 11512, 875, 596, 5462, 713, 563, 20797, 476, 275, 269, 9453, 519, 946, 540, 513, 24275, 9498, 267, 6474, 519, 1034, 3617, 3113, 585, 519, 1599, 1109, 780, 513, 264, 536, 264, 524, 264, 546, 994, 20797, 476, 276, 269, 12246, 773, 1178, 335, 1117, 519, 1599, 1109, 538, 1200, 9498, 269, 1109, 901, 568, 1018, 1200, 5496, 6743, 899, 563, 9515, 15055, 519, 13141, 710, 540, 519, 1899, 855, 1131, 899, 547, 6521, 621, 1524, 476, 276, 4559, 865, 602, 1200, 5496, 5654, 899, 713, 563, 1432, 1599, 1058, 12246, 773, 4283, 883, 519, 1109, 9375, 540, 1200, 9498, 547, 9585, 713, 2496, 2414, 13182, 707, 4267, 547, 782, 540, 519, 1657, 2259, 267, 4283, 519, 3252, 538, 519, 1109, 9375, 543, 2046, 519, 1109, 1883, 269, 1109, 7827, 519, 2418, 865, 602, 707, 5496, 5654, 4010, 899, 1018, 568, 3254, 2630, 269, 1109, 2991, 4657, 707, 6885, 5468, 267, 2046, 1109, 780, 263, 9616, 281, 786, 1689, 8850, 269, 1109, 1703, 568, 1100, 991, 547, 7369, 713, 1871, 24355, 26183, 19170, 645, 19272, 912, 1607, 2534, 11567, 5276, 3252, 269, 1109, 2353, 540, 519, 5276, 3252, 602, 941, 11567, 941, 540, 519, 1106, 1109, 267, 1572, 519, 9386, 25435, 1106, 269, 1109, 634, 11664, 540, 1535, 267, 513, 267, 568, 849, 1572, 519, 9386, 540, 519, 1899, 269, 1109, 634, 9386, 568, 519, 6482, 540, 519, 14869, 1145, 610, 13141, 710, 540, 519, 1899, 269, 1109, 1306, 596, 4362, 267, 519, 3677, 519, 6207, 1871, 540, 519, 9386, 267, 519, 588, 2465, 704, 610, 519, 811, 20916, 519, 1899, 269, 1109, 6787, 519, 9386, 568, 2318, 610, 2942, 11887, 952, 519, 1899, 786, 979, 909, 610, 1524, 689, 2451, 547, 1318, 269, 1109, 634, 3586, 2165, 267, 524, 267, 568, 849, 1572, 519, 7299, 7852, 18448, 630, 528, 586, 25435, 264, 1317, 621, 11887, 1141, 519, 1899, 786, 3444, 519, 7299, 7852, 269, 1109, 1403, 524, 568, 2318, 267, 1287, 519, 1899, 786, 3444, 519, 7299, 7852, 1657, 519, 5169, 269, 543, 952, 524, 568, 2942, 267, 1287, 519, 1899, 786, 3444, 519, 7299, 7852, 2630, 519, 5169, 780, 26796, 11264, 713, 2534, 267, 596, 666, 1631, 3589, 1018, 519, 3113, 540, 513, 5276, 1599, 786, 1413, 899, 1354, 596, 2479, 3113, 621, 269, 1109, 4208, 568, 713, 1271, 286, 1109, 2290, 2601, 568, 865, 602, 596, 6952, 1022, 6959, 269, 1109, 1403, 596, 917, 10199, 1018, 519, 3113, 1058, 1413, 899, 1354, 24275, 621, 267, 1287, 950, 513, 9498, 610, 513, 2780, 3947, 596, 519, 834, 342, 3994, 2626, 257, 596, 786, 581, 2111, 547, 6952, 519, 5470, 269, 1109, 6271, 2601, 568, 865, 602, 596, 666, 2070, 707, 3113, 269, 1109, 3502, 782, 6885, 5468, 538, 513, 24275, 9498, 786, 1450, 596, 547, 834, 5408, 257, 782, 519, 11708, 269, 1109, 1403, 596, 917, 1945, 827, 519, 3113, 267, 596, 666, 1305, 519, 3617, 6885, 865, 602, 596, 666, 2070, 621, 269, 1109, 634, 3791, 2601, 267, 543, 4440, 519, 1034, 1271, 585, 513, 4116, 267, 568, 865, 602, 596, 666, 13861, 707, 3113, 269, 1109, 1403, 707, 1899, 568, 20916, 1175, 519, 1259, 596, 1616, 621, 855, 267, 596, 1131, 899, 547, 6521, 621, 909, 1079, 4559, 267, 1018, 798, 596, 798, 286, 1109, 9406, 267, 1039, 513, 476, 273, 547, 519, 3586, 2165, 269, 1109, 1403, 707, 1899, 568, 15385, 519, 7299, 7852, 693, 519, 3617, 4087, 267, 855, 596, 1131, 899, 547, 24390, 922, 13141, 710, 267, 1018, 798, 596, 798, 286, 1109, 1411, 2569, 519, 1871, 540, 519, 9386, 269, 1109, 1306, 596, 786, 1294, 2663, 267, 713, 2856, 540, 22392, 519, 14170, 547, 1852, 513, 3113, 267, 666, 581, 6905, 547, 824, 3252, 16310, 5276, 780, 27309, 16739, 912, 5475, 11264, 713, 2534, 267, 5965, 707, 6114, 547, 519, 1739, 2055, 780, 272, 269, 769, 6657, 476, 272, 267, 786, 519, 3113, 540, 519, 1599, 3444, 519, 7299, 7852, 1657, 610, 2630, 519, 5169, 286, 1109, 1548, 1871, 5280, 596, 3313, 713, 888, 273, 269, 769, 6657, 476, 274, 267, 1510, 24275, 267, 799, 1899, 786, 581, 811, 7299, 267, 602, 540, 1109, 610, 1109, 286, 1109, 11512, 875, 596, 5462, 713, 563, 274, 269, 769, 6657, 476, 275, 267, 1510, 519, 946, 540, 513, 24275, 9498, 267, 799, 568, 519, 1034, 3617, 3113, 585, 519, 1599, 1109, 888, 275, 269, 769, 6657, 476, 276, 267, 1018, 1599, 1058, 12246, 773, 4283, 883, 519, 1109, 9375, 540, 1200, 9498, 547, 6521, 1200, 1899, 1524, 2947, 4559, 888, 2691, 596, 723, 5423, 707, 6114, 547, 782, 540, 519, 1657, 2055, 267, 4945, 593, 713, 3095, 281, 1109, 5149, 4962, 11314, 4962, 5999, 269, 1109, 5457, 267, 2899, 596, 10505, 519, 1106, 267, 596, 3112, 979, 1394, 543, 1689, 707, 4267, 269, 1109, 901, 1106, 1590, 581, 11643, 676, 11728, 267, 4989, 476, 279, 628, 1354, 476, 276, 281, 876, 10975, 630, 290, 4306, 6393, 301, 28692, 912, 1607, 568, 519, 1439, 540, 519, 1770, 1565, 2238, 269, 1109, 634, 1985, 1900, 568, 547, 2347, 519, 4879, 585, 713, 1770, 630, 2998, 547, 519, 1283, 540, 519, 2985, 543, 4945, 593, 10495, 1040, 0, 1012, 589, 11308, 3625, 609, 2527, 476, 272, 269, 2568, 4846, 568, 5116, 1996, 513, 19316, 5614, 693, 519, 5377, 540, 513, 9386, 20916, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 630, 4812, 589, 1040, 5453, 692, 9223, 692, 288, 11308, 3625, 609, 2527, 476, 272, 269, 2568, 4846, 568, 5116, 1996, 513, 19316, 5614, 693, 519, 5377, 540, 513, 9386, 20916, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 630, 4812, 589, 1040, 1879, 519, 5614, 568, 5950, 267, 621, 3785, 519, 3625, 909, 519, 13141, 710, 269, 2311, 1448, 645, 267, 513, 3845, 540, 476, 277, 269, 4649, 544, 909, 519, 13141, 710, 689, 589, 267, 519, 3625, 568, 3001, 909, 519, 13141, 710, 693, 513, 3432, 540, 476, 278, 269, 2004, 544, 4882, 543, 568, 1100, 3476, 538, 3346, 609, 519, 5614, 269, 634, 11664, 540, 15452, 11508, 1063, 519, 3625, 543, 13141, 710, 568, 815, 476, 271, 269, 2004, 269, 634, 2527, 540, 519, 5614, 568, 30050, 563, 24280, 519, 2179, 540, 1761, 1648, 602, 729, 7620, 6740, 538, 519, 5614, 269, 6875, 1863, 2887, 10231, 547, 581, 476, 280, 269, 3199, 544, 4882, 11054, 780, 514, 3356, 476, 271, 454, 276, 3275, 476, 1708, 272, 268, 5400, 268, 2190, 307, 2420, 281, 1724, 281, 6734, 266, 876, 281, 876, 476, 272, 12226, 476, 3451, 5784, 476, 271, 692, 763, 2179, 540, 1761, 1648, 602, 729, 7620, 6740, 538, 519, 5614, 568, 476, 6434, 269, 279, 808, 780, 15008, 1384, 11693, 602, 10484, 22709, 540, 3625, 815, 476, 272, 269, 2568, 4846, 692, 17951, 548, 815, 476, 1789, 269, 271, 4113, 692, 291, 2700, 815, 476, 277, 269, 4649, 544, 692, 11854, 539, 815, 476, 278, 269, 2004, 544, 4882, 692, 290, 4141, 2310, 540, 15452, 11508, 815, 476, 271, 269, 2004, 692, 2171, 991, 547, 5173, 519, 2179, 540, 1761, 1648, 692, 8794, 4542, 540, 5726, 540, 1648, 1063, 1448, 589, 543, 645, 692, 21607, 519, 1871, 883, 519, 4542, 692, 17798, 267, 634, 2179, 540, 1761, 1648, 602, 729, 7620, 6740, 538, 519, 5614, 568, 476, 6434, 269, 279, 808, 269, 0, 9223, 692, 258, 7726, 476, 273, 630, 328, 264, 4855, 519, 700, 13967, 543, 670, 20003, 540, 519, 1739, 8424, 540, 9981, 543, 13182, 602, 700, 13967, 6398, 670, 20003, 815, 1587, 540, 519, 1079, 2338, 269, 476, 2918, 543, 476, 11011, 692, 11405, 692, 1012, 476, 2918, 815, 476, 273, 6398, 476, 1724, 476, 11011, 815, 278, 6398, 476, 1724, 670, 20003, 815, 476, 1724, 700, 13967, 815, 273, 9943, 278, 9943, 1724, 284, 9264, 8605, 540, 1079, 2338, 815, 476, 2918, 6398, 476, 11011, 815, 476, 26951, 277, 8605, 540, 670, 20003, 543, 700, 13967, 815, 476, 1724, 6398, 476, 9264, 815, 476, 26951, 277, 9747, 267, 1587, 540, 1079, 2338, 815, 670, 20003, 6398, 700, 13967, 692, 22296, 2248, 28303, 0, 258, 853, 334, 24734, 5852, 6997, 7797, 4828, 692, 8138, 4784, 1635, 29827, 331, 7174, 323, 14397, 454, 24552, 281, 476, 14093, 272, 454, 303, 1137, 281, 476, 276, 692, 306, 1729, 24734, 5852, 6997, 7797, 454, 19322, 339, 2284, 589, 1356, 517, 454, 298, 541, 5055, 654, 1228, 30692, 2419, 334, 5633, 267, 22189, 2871, 518, 516, 549, 267, 30511, 6742, 710, 345, 454, 10111, 13238, 16441, 454, 18550, 476, 1556, 267, 476, 1001, 274, 692, 7072, 769, 713, 2978, 267, 649, 6404, 1927, 519, 2746, 1218, 267, 476, 271, 269, 4962, 18253, 540, 11256, 14614, 543, 930, 16693, 883, 513, 1166, 2532, 269, 634, 2472, 941, 519, 3327, 8166, 267, 1216, 267, 543, 9770, 21449, 622, 269, 2991, 11544, 891, 6464 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30206, 540, 1215, 547, 3503, 6355, 16707, 538, 2296, 593, 513, 9978, 5426, 454, 13510, 9005, 6732, 4873, 476, 1001, 277, 563, 268, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 655, 322, 268, 1704, 269, 1001, 278, 269, 275, 1692, 547, 946, 513, 20396, 888, 268, 6355, 1603, 538, 2296, 282, 14594, 282, 5675, 1983, 454, 268, 1280, 1346, 1004, 945, 723, 1175, 21783, 689, 1164, 1153, 543, 1831, 513, 2101, 540, 6355, 2296, 538, 513, 2852, 267, 543, 945, 723, 1175, 3323, 513, 2816, 5473, 7231, 609, 19359, 538, 2296, 267, 789, 723, 547, 917, 519, 1249, 602, 621, 26141, 711, 2653, 547, 946, 2296, 1893, 547, 2328, 513, 4484, 538, 513, 13801, 6073, 609, 3617, 4082, 543, 2953, 3898, 269, 1703, 26141, 513, 5458, 3017, 1063, 1603, 513, 1870, 4484, 538, 2296, 543, 1603, 513, 5888, 538, 2296, 269, 634, 12705, 2016, 547, 519, 5467, 676, 2511, 540, 1893, 543, 2497, 540, 1257, 814, 513, 1463, 3310, 593, 519, 1870, 540, 519, 2754, 269, 634, 1034, 540, 519, 3549, 799, 2154, 741, 5234, 547, 2328, 1870, 5022, 538, 2296, 2356, 723, 4914, 4123, 1870, 267, 610, 616, 2229, 3906, 267, 4061, 267, 1169, 4484, 789, 2328, 568, 1271, 256, 589, 1134, 27787, 1870, 4484, 538, 2296, 949, 1291, 547, 513, 5458, 11834, 267, 610, 606, 6876, 540, 9316, 538, 1978, 1870, 2127, 1063, 1079, 2477, 282, 513, 21354, 27787, 1870, 4484, 267, 2705, 267, 949, 1291, 547, 513, 2462, 2883, 2530, 269, 634, 4901, 538, 713, 1957, 786, 1331, 519, 2596, 3741, 540, 1603, 513, 1870, 4484, 538, 2296, 267, 609, 519, 4126, 547, 948, 519, 7820, 6267, 547, 2087, 741, 1603, 1983, 563, 268, 7046, 7457, 454, 268, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 16671, 15760, 9539, 290, 12689, 563, 29241, 713, 2376, 454, 31159, 910, 12164, 293, 22847, 910, 18681, 962, 604, 534, 623, 312, 910, 476, 1001, 277, 270, 6187, 21096, 910, 476, 1001, 277, 270, 6187, 30263, 910, 17564, 540, 1215, 547, 3503, 6355, 16707, 538, 2296, 593, 513, 9978, 5426, 31641, 910, 18619, 540, 519, 476, 278, 628, 4139, 10985, 593, 4065, 267, 5004, 267, 6176, 543, 8950, 3163, 630, 2975, 4932, 290, 476, 1001, 278, 264, 623, 289, 910, 7284, 656, 529, 4964, 9501, 910, 476, 1691, 21768, 910, 476, 1626, 19301, 910, 476, 20720, 273, 268, 276, 4343, 311, 772, 305, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 655, 322, 268, 1704, 269, 1001, 278, 269, 275, 11298, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 655, 322, 268, 1704, 269, 1001, 278, 269, 275, 9517, 910, 962, 604, 534, 1001, 277, 270, 6187, 18317, 910, 0, 276, 260, 1055, 12096, 517, 781, 13928, 5253, 910, 2422, 519, 3009, 654, 302, 7495, 312, 693, 2638, 719, 454, 30821, 13574, 11429, 5696, 902, 5020, 267, 2657, 267, 543, 19732, 1465, 454, 1320, 8812, 5991, 710, 2600, 540, 1004, 538, 5507, 3442, 547, 723, 513, 4620, 585, 31070, 5103, 2713, 519, 1034, 20651, 2749, 538, 519, 5177, 269, 3143, 2339, 952, 596, 3442, 547, 723, 513, 2915, 267, 3032, 267, 6177, 267, 3165, 267, 14854, 267, 610, 1022, 824, 4620, 267, 789, 1118, 513, 1753, 538, 938, 12271, 543, 1831, 513, 851, 540, 519, 1920, 269, 12660, 687, 1222, 568, 835, 2460, 540, 519, 2078, 1063, 513, 1268, 543, 741, 4620, 267, 1247, 824, 2640, 1331, 5539, 543, 1914, 1464, 269, 5525, 723, 3254, 602, 3404, 12682, 665, 514, 267, 513, 9449, 1634, 607, 519, 968, 331, 913, 9449, 5608, 568, 1336, 538, 3425, 543, 2831, 1310, 4205, 609, 835, 1776, 267, 4543, 519, 6125, 1063, 10130, 543, 741, 5411, 1332, 269, 1280, 782, 602, 513, 2078, 609, 513, 4620, 666, 2285, 721, 267, 2090, 3100, 547, 5815, 789, 949, 849, 3565, 547, 5355, 938, 1072, 563, 1692, 2052, 623, 1115, 18748, 3776, 2657, 888, 303, 1115, 666, 17869, 721, 909, 950, 649, 2461, 4743, 1524, 267, 1118, 721, 14902, 593, 513, 3983, 1554, 543, 948, 547, 13468, 2566, 543, 20420, 269, 634, 1072, 2640, 540, 26539, 513, 4620, 949, 3100, 547, 10709, 811, 2509, 519, 2790, 2427, 540, 1072, 267, 1317, 10130, 616, 513, 3659, 950, 8165, 4965, 543, 4606, 540, 10072, 269, 1358, 849, 1711, 513, 1875, 268, 9080, 613, 11365, 1604, 585, 1346, 945, 7985, 689, 2564, 2152, 610, 1256, 2825, 2152, 267, 899, 26683, 269, 1403, 596, 723, 1453, 267, 26539, 513, 4620, 666, 6175, 519, 20825, 540, 11959, 610, 10447, 267, 543, 666, 2539, 519, 7872, 540, 1274, 5563, 543, 897, 1091, 585, 9002, 1282, 741, 1101, 1032, 563, 303, 1115, 1656, 31701, 14423, 454, 288, 2487, 1353, 2944, 609, 4620, 5411, 538, 13785, 1336, 2915, 5411, 723, 513, 2539, 1981, 540, 9025, 2068, 982, 1022, 824, 1826, 540, 4620, 8227, 269, 898, 9060, 513, 9756, 1063, 1447, 2566, 267, 6972, 5243, 267, 543, 4730, 609, 873, 547, 3152, 4027, 689, 9025, 2152, 269, 6271, 2009, 7778, 585, 519, 2333, 538, 15325, 1131, 581, 513, 1732, 4761, 1062, 267, 1813, 547, 519, 1114, 2010, 540, 17900, 543, 4551, 513, 4620, 666, 3142, 883, 519, 1753, 269, 623, 1115, 666, 581, 8036, 543, 1031, 607, 606, 2038, 9963, 18785, 585, 1072, 2152, 971, 607, 17465, 267, 3987, 543, 1256, 2860, 269, 1403, 891, 666, 581, 9571, 2038, 267, 609, 519, 1697, 2126, 513, 1268, 1131, 581, 2111, 547, 7639, 543, 2661, 3476, 982, 4397, 563, 302, 342, 940, 513, 4620, 4679, 519, 2298, 540, 1272, 543, 15325, 1317, 540, 519, 4205, 1063, 519, 2790, 543, 2168, 2640, 269, 1358, 960, 1927, 547, 3310, 519, 19326, 267, 4555, 267, 543, 3527, 540, 519, 5411, 267, 3056, 547, 513, 1272, 2407, 540, 2648, 267, 8788, 543, 1072, 269, 0, 4002, 519, 3803, 15149, 723, 835, 10116, 540, 519, 1362, 476, 280, 288, 1665, 834, 290, 257, 540, 6128, 267, 18749, 1665, 834, 290, 257, 689, 519, 16231, 1893, 543, 1079, 1053, 8959, 538, 7998, 269, 1215, 1082, 1053, 7390, 1362, 476, 280, 288, 888, 12441, 596, 1265, 606, 5470, 610, 538, 3147, 5596, 286, 18461, 1863, 547, 2328, 721, 269, 11289, 596, 2336, 14188, 596, 585, 26446, 606, 1383, 1257, 15494, 610, 556, 874, 2084, 269, 1284, 786, 2689, 519, 1383, 538, 513, 2110, 942, 543, 960, 593, 519, 15476, 621, 563, 19522, 547, 1644, 2228, 26732, 454, 2710, 596, 1616, 547, 5173, 2547, 1455, 2789, 1079, 610, 811, 2338, 888, 2791, 991, 547, 917, 519, 1739, 1702, 547, 4194, 713, 2262, 2979, 1966, 912, 16665, 2979, 2042, 543, 2055, 912, 280, 6993, 547, 7390, 811, 982, 476, 736, 1053, 855, 7864, 982, 476, 2412, 1053, 269, 589, 3791, 540, 519, 10453, 5206, 513, 2979, 1449, 547, 1665, 476, 272, 267, 519, 15795, 547, 1665, 476, 273, 267, 519, 27630, 547, 1665, 476, 274, 269, 3143, 835, 4991, 1665, 476, 275, 269, 1215, 1082, 1053, 540, 1362, 476, 280, 6993, 5206, 513, 1449, 547, 1665, 476, 276, 888, 268, 29485, 693, 1153, 454, 2467, 616, 476, 1789, 1053, 538, 519, 1362, 269, 12866, 1053, 538, 519, 1362, 1185, 513, 1665, 1614, 17784, 693, 519, 1439, 540, 519, 2979, 15149, 267, 543, 519, 824, 1053, 1185, 513, 1665, 540, 835, 610, 1079, 269, 634, 3328, 1665, 538, 782, 1053, 262, 6128, 538, 519, 1362, 693, 519, 1439, 540, 519, 1032, 530, 454, 2467, 568, 476, 4029, 1053, 538, 513, 1362, 269, 3245, 6128, 729, 262, 660, 8338, 1665, 982, 476, 273, 269, 19105, 1665, 538, 6128, 729, 476, 273, 269, 1215, 1082, 1053, 723, 1665, 476, 272, 543, 875, 1082, 1665, 476, 273, 888, 268, 8422, 5396, 454, 1103, 513, 1362, 540, 476, 2412, 1053, 267, 476, 1240, 5293, 6128, 267, 476, 866, 5293, 6589, 267, 476, 1626, 5293, 9297, 267, 476, 276, 6128, 543, 6589, 1152, 267, 476, 277, 6128, 1152, 267, 476, 280, 6589, 1152, 267, 476, 273, 6589, 543, 9297, 1152, 267, 952, 1142, 2875, 6035, 693, 2547, 835, 540, 519, 5396, 269, 513, 264, 875, 12103, 454, 2691, 19456, 23768, 4280, 875, 1082, 1053, 7390, 519, 1153, 267, 646, 1767, 281, 834, 295, 2788, 540, 519, 1053, 4974, 6128, 267, 476, 272, 270, 275, 2575, 267, 18749, 14980, 267, 543, 972, 616, 1614, 6690, 693, 1153, 1701, 1215, 1082, 1053, 1185, 19456, 23768, 693, 1153, 888, 268, 700, 9492, 815, 476, 2420, 1341, 575, 7251, 454, 763, 2547, 1455, 2789, 540, 1079, 2338, 568, 476, 2420, 811, 982, 741, 6574, 1455, 27708, 269, 4855, 891, 2338, 563, 268, 9050, 1362, 4513, 454, 10743, 540, 782, 476, 278, 267, 476, 279, 543, 476, 280, 5049, 538, 835, 1153, 949, 1491, 909, 476, 275, 267, 276, 267, 277, 543, 476, 278, 32448, 543, 18864, 786, 2451, 269, 1215, 1082, 568, 519, 3328, 1293, 540, 10453, 538, 835, 1362, 952, 972, 616, 2141, 2185, 5049, 1142, 3446, 888, 27832, 982, 476, 4335, 10453, 7390, 1153, 269, 1879, 621, 568, 15044, 883, 8424, 267, 835, 20194, 3788, 269, 6684, 267, 950, 15044, 883, 476, 274, 267, 476, 275, 267, 476, 276, 543, 476, 277, 2818, 2319, 835, 3788, 269, 590, 9285, 547, 5722, 2818, 6887, 267, 1100, 2451, 3297, 269, 1215, 1082, 10453, 616, 11504, 713, 1153, 888, 1432, 568, 519, 2547, 1455, 2789, 540, 476, 276, 267, 476, 2004, 267, 476, 1691, 888, 268, 4787, 328, 1362, 454, 12218, 7390, 476, 1789, 8695, 543, 930, 1297, 540, 6690, 269, 4787, 328, 2866, 729, 13984, 676, 476, 2764, 8695, 543, 782, 519, 6690, 267, 799, 729, 476, 4817, 260, 540, 782, 1053, 269, 1215, 1082, 6690, 7390, 713, 1362, 286, 1215, 1082, 2600, 568, 602, 888, 12218, 476, 276, 269, 589, 15548, 538, 513, 15324, 5959, 6514, 269, 589, 10116, 540, 519, 10453, 1336, 1079, 5959, 1286, 625, 267, 606, 21632, 540, 519, 10453, 1336, 835, 1286, 625, 269, 21009, 519, 1362, 1185, 782, 741, 4522, 2635, 269, 1215, 1082, 1053, 7390, 1362, 476, 276, 269, 589, 952, 476, 275, 1053, 941, 4413, 328, 454, 268, 700, 9492, 2241, 454, 8340, 2547, 1455, 2789, 540, 713, 1079, 2338, 281, 476, 9610, 476, 11260, 563, 10521, 911, 916, 3323, 693, 519, 1482, 942, 689, 519, 1482, 1747, 269, 2290, 911, 332, 3460, 3217, 476, 1789, 3764, 543, 519, 2034, 476, 3393, 3764, 547, 922, 3803, 3247, 269, 1215, 1279, 786, 911, 916, 2743, 1586, 888, 303, 847, 819, 619, 20898, 909, 538, 13551, 609, 4737, 609, 2185, 267, 2947, 610, 3670, 2624, 23924, 267, 835, 2141, 7508, 547, 2407, 13551, 269, 1215, 1082, 2624, 23924, 941, 593, 519, 2361, 267, 952, 789, 723, 6059, 711, 1044, 811, 982, 476, 1911, 888, 268, 700, 9492, 540, 1614, 2338, 454, 1432, 568, 519, 700, 9492, 540, 476, 6344, 476, 1428, 543, 476, 276, 454, 268, 11929, 3328, 454, 763, 3328, 540, 7436, 602, 723, 593, 519, 22783, 1053, 540, 476, 279, 288, 1362, 538, 6128, 568, 4010, 476, 273, 269, 3393, 269, 1403, 649, 1705, 711, 1039, 476, 272, 543, 476, 274, 540, 1053, 7812, 543, 1325, 6511, 267, 945, 8452, 513, 3923, 3516, 267, 621, 1131, 3328, 4010, 476, 273, 269, 276, 269, 14419, 875, 1082, 1053, 723, 1362, 454, 268, 589, 1297, 476, 276, 454, 288, 1297, 568, 16883, 676, 476, 2190, 267, 476, 1839, 267, 543, 476, 6344, 952, 621, 568, 2799, 676, 476, 736, 269, 4855, 519, 1297, 269, 0, 1607, 568, 513, 1592, 540, 2477, 609, 18246, 4108, 13279, 563, 763, 10661, 540, 4108, 13279, 13383, 6087, 513, 2197, 547, 1788, 1379, 267, 552, 3052, 269, 547, 2932, 16939, 776, 13137, 267, 543, 7551, 3310, 2621, 13383, 269, 13689, 593, 741, 2450, 543, 5989, 267, 789, 666, 581, 1031, 607, 588, 1645, 2127, 610, 585, 2845, 6750, 267, 10618, 543, 4987, 1489, 269, 3509, 7526, 2429, 2413, 1686, 723, 8507, 538, 18246, 4108, 13279, 1373, 3964, 538, 1804, 2338, 676, 1158, 7060, 543, 519, 6228, 540, 13279, 13383, 814, 6039, 2477, 602, 723, 1287, 873, 538, 8236, 2797, 543, 4108, 3853, 269, 634, 3703, 7276, 543, 824, 7810, 7060, 3964, 18246, 4108, 13279, 538, 1082, 540, 741, 10125, 1282, 519, 3689, 543, 5822, 2622, 12668, 267, 1141, 3730, 267, 543, 8362, 8179, 2924, 547, 6703, 1141, 2877, 585, 7580, 4128, 269, 2311, 835, 942, 267, 9591, 1071, 2718, 10473, 585, 17189, 9635, 729, 1271, 269, 4438, 519, 12019, 2782, 267, 519, 2136, 2276, 543, 519, 8168, 5742, 3964, 4108, 13279, 1141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 7316, 798, 596, 946, 513, 3440, 547, 22545, 1919, 1524, 888, 288, 269, 476, 6367, 1782, 620, 2917, 454, 289, 269, 476, 7535, 3349, 454, 290, 269, 476, 15547, 19063, 1756, 454, 291, 269, 476, 19209, 454, 292, 269, 476, 17075, 454, 12585, 281, 288, 0, 9223, 281, 769, 1018, 1032, 729, 11255, 1688, 4252, 5189, 607, 606, 16727, 2680, 585, 2367, 888, 12585, 281, 476, 3192, 273, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 1677, 1376, 609, 267, 972, 6818, 606, 22660, 540, 27050, 945, 568, 513, 2673, 3659, 540, 24910, 1247, 711, 606, 11515, 540, 28199, 269, 3767, 267, 945, 1197, 568, 711, 513, 7015, 540, 12138, 568, 606, 11515, 540, 28199, 269, 3245, 713, 5205, 281, 2368, 2673, 3659, 540, 24910, 568, 606, 22660, 540, 27050, 543, 513, 7015, 540, 12138, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 9223, 281, 834, 306, 784, 23116, 10793, 6519, 630, 22106, 1023, 267, 13176, 543, 14440, 264, 543, 23729, 6519, 630, 20142, 4548, 543, 17573, 4938, 1023, 264, 1118, 909, 799, 1977, 4224, 5918, 334, 945, 3812, 1614, 12896, 3240, 13815, 630, 16032, 20010, 8535, 19186, 636, 264, 10888, 11549, 4548, 630, 3269, 292, 548, 11244, 257, 2580, 834, 257, 7476, 19992, 2725, 30616, 3269, 1299, 834, 257, 296, 1188, 344, 774, 2794, 3269, 21663, 4840, 12585, 281, 17711, 25549, 21462, 0, 13480, 2622, 281, 1215, 547, 2972, 960, 269, 6875, 2834, 9397, 269, 5525, 1397, 602, 4600, 945, 1491, 2110, 9397, 811, 5781, 616, 18668, 543, 811, 11327, 982, 4600, 945, 1491, 835, 1279, 2736, 1282, 513, 6521, 269, 1403, 596, 723, 1022, 1852, 936, 519, 1259, 596, 1491, 9397, 267, 621, 781, 1732, 547, 2285, 3054, 476, 276, 268, 1015, 3764, 1169, 5662, 610, 1079, 267, 3079, 540, 606, 5662, 1055, 538, 519, 1647, 540, 519, 1554, 269, 476, 898, 781, 849, 1271, 547, 1491, 942, 1055, 543, 3251, 2476, 689, 960, 585, 513, 1247, 267, 607, 1134, 269, 14171, 930, 942, 1055, 2337, 547, 10069, 1125, 4600, 543, 1450, 873, 547, 2097, 1394, 547, 960, 811, 11327, 269, 0, 9223, 281, 898, 3357, 607, 1945, 540, 513, 9983, 950, 667, 10005, 267, 25905, 540, 12986, 267, 1500, 513, 7552, 512, 4911, 7637, 538, 476, 1960, 278, 267, 547, 1489, 519, 4414, 9061, 781, 5859, 585, 513, 2698, 7333, 593, 782, 4550, 16512, 6773, 2244, 332, 710, 2244, 332, 1149, 10738, 3108, 540, 21945, 538, 4911, 7637, 267, 8613, 13819, 1472, 519, 1158, 941, 4904, 609, 2592, 540, 1200, 4313, 532, 9601, 13676, 538, 30762, 3361, 676, 2244, 332, 1149, 269, 834, 296, 6785, 519, 7194, 2437, 1352, 1767, 269, 834, 3719, 8380, 513, 3068, 547, 1346, 5515, 4547, 519, 4641, 1753, 547, 803, 282, 899, 950, 594, 1558, 9995, 571, 267, 513, 476, 1724, 4458, 6040, 8004, 945, 1185, 4503, 1200, 1850, 267, 543, 1004, 899, 1200, 1701, 634, 25905, 11943, 609, 513, 2241, 5048, 281, 834, 2171, 1590, 3247, 2244, 332, 1149, 2668, 1656, 1352, 1031, 1169, 4316, 1282, 1200, 3643, 547, 10956, 713, 5048, 269, 1809, 267, 1394, 538, 5507, 267, 1200, 5784, 941, 711, 3838, 676, 930, 2818, 540, 519, 3703, 2229, 267, 799, 15189, 547, 1489, 513, 7333, 593, 891, 9604, 269, 4911, 787, 14761, 9250, 606, 4323, 593, 519, 25905, 538, 519, 2046, 269, 1358, 4330, 1200, 607, 834, 854, 2192, 26455, 257, 543, 513, 834, 331, 5366, 666, 12061, 257, 1547, 634, 25905, 15527, 676, 17678, 11735, 519, 30852, 281, 834, 1607, 568, 513, 30411, 2073, 649, 798, 711, 991, 269, 2353, 594, 6415, 3843, 547, 798, 568, 948, 1701, 11534, 3789, 6105, 267, 519, 2923, 543, 519, 1857, 5612, 21350, 5367, 741, 1489, 585, 519, 25905, 269, 1677, 1118, 6927, 8338, 585, 519, 2229, 267, 621, 4166, 7153, 602, 519, 25905, 781, 7552, 1185, 1044, 9516, 676, 519, 14579, 8433, 267, 543, 602, 1352, 729, 538, 1249, 1360, 1134, 26455, 827, 1312, 519, 3510, 538, 4911, 7637, 543, 519, 3703, 2229, 781, 3609, 3823, 2244, 332, 1149, 269, 634, 1267, 729, 513, 4049, 19849, 14536, 585, 519, 2229, 269, 1677, 2119, 543, 3970, 519, 3441, 267, 519, 14579, 14199, 267, 29346, 681, 604, 330, 573, 526, 267, 10645, 602, 519, 25905, 781, 5784, 593, 2244, 332, 1149, 941, 711, 1360, 1114, 689, 2229, 3609, 267, 543, 602, 621, 729, 834, 11529, 2509, 257, 513, 5001, 7333, 269, 634, 16470, 14199, 267, 7812, 5800, 21034, 267, 10645, 519, 2339, 729, 834, 320, 31495, 13133, 566, 610, 3765, 24483, 1701, 1280, 519, 25905, 267, 519, 7552, 547, 713, 2112, 2389, 1941, 2197, 729, 606, 5140, 4316, 547, 946, 1200, 8560, 547, 1397, 519, 1158, 875, 1454, 9552, 543, 7092, 2244, 332, 1149, 666, 2014, 269, 2701, 1767, 602, 519, 1995, 1185, 849, 2016, 1200, 519, 4960, 547, 1205, 6251, 547, 1004, 606, 741, 2042, 269, 1548, 1705, 667, 10005, 1611, 950, 1352, 1767, 834, 1862, 1584, 1154, 513, 3068, 547, 1346, 5515, 4547, 519, 4641, 1753, 547, 803, 257, 263, 18118, 476, 276, 267, 3474, 320, 269, 476, 272, 25145, 288, 269, 20051, 519, 2244, 332, 710, 9601, 538, 1268, 1500, 1200, 3494, 519, 7194, 563, 289, 269, 2701, 1175, 7948, 1405, 7703, 547, 2743, 519, 2244, 332, 710, 9601, 3068, 547, 3068, 563, 290, 269, 634, 4890, 3510, 538, 4911, 7637, 1500, 1200, 899, 2469, 1394, 1753, 563, 291, 269, 22628, 519, 1928, 540, 519, 9601, 1500, 1200, 8275, 519, 3978, 1145, 540, 519, 3510, 563, 12585, 281, 667, 0, 9223, 281, 6004, 269, 6519, 1568, 538, 606, 5604, 269, 1261, 17329, 2542, 538, 5127, 950, 646, 729, 693, 1153, 269, 898, 729, 3983, 585, 1010, 4064, 543, 1631, 646, 568, 2282, 1606, 32484, 269, 1809, 646, 9327, 1405, 1616, 24455, 3116, 547, 917, 827, 621, 543, 646, 2760, 31273, 513, 6292, 540, 14296, 269, 898, 1419, 6770, 1864, 930, 8373, 269, 2290, 5162, 6640, 646, 729, 2366, 547, 513, 8498, 1153, 593, 1870, 269, 1261, 3893, 1055, 513, 1668, 693, 513, 3247, 538, 513, 1507, 4884, 269, 3973, 646, 1185, 547, 3802, 972, 269, 634, 4155, 547, 519, 8498, 7012, 1405, 5347, 269, 1703, 941, 10007, 1934, 543, 972, 269, 1261, 8593, 936, 1896, 2053, 543, 621, 1500, 1010, 9660, 1360, 10279, 269, 2311, 2063, 646, 3893, 547, 519, 8498, 269, 22582, 621, 3459, 547, 9514, 9244, 543, 621, 3893, 1454, 21617, 269, 3571, 11058, 729, 27762, 1055, 1247, 646, 729, 3168, 585, 519, 1153, 269, 1261, 1185, 547, 2196, 1310, 621, 855, 646, 7948, 1405, 6952, 621, 269, 1261, 729, 11842, 1946, 1010, 11058, 10443, 883, 513, 2777, 607, 952, 621, 1185, 7953, 269, 1656, 1287, 646, 10443, 883, 519, 2777, 267, 1932, 269, 589, 2462, 4807, 7902, 543, 11074, 1864, 676, 22551, 532, 2587, 337, 1176, 267, 834, 1548, 616, 596, 4881, 1310, 1250, 18911, 585, 8119, 4340, 547, 519, 8574, 267, 799, 540, 519, 1739, 568, 3020, 888, 288, 269, 6004, 269, 6519, 31273, 513, 6292, 540, 14296, 563, 289, 269, 6004, 269, 6519, 1568, 538, 513, 8498, 1153, 563, 290, 269, 6004, 269, 6519, 15055, 2542, 538, 5127, 538, 1010, 5604, 563, 291, 269, 6004, 269, 6519, 1419, 814, 930, 8373, 1317, 540, 1010, 2282, 8289, 563, 12585, 281, 667, 0, 9223, 281, 16441, 2098, 26907, 3333, 534, 814, 513, 2027, 1362, 22940, 267, 1010, 476, 8287, 4458, 6040, 6264, 2742, 269, 3571, 6264, 2742, 3459, 547, 1413, 1310, 1864, 476, 1015, 1296, 3516, 269, 16441, 3893, 513, 3983, 4576, 950, 646, 729, 1614, 269, 3571, 3993, 2451, 519, 1920, 269, 3571, 4651, 7948, 1405, 960, 269, 1924, 1010, 22594, 3459, 547, 1413, 1310, 1864, 269, 476, 16441, 1185, 547, 1491, 2947, 5686, 540, 4915, 1169, 1554, 543, 621, 1942, 519, 1920, 811, 982, 476, 272, 267, 1220, 586, 10224, 1169, 3923, 269, 16441, 7948, 1405, 3717, 1134, 269, 2368, 8695, 1419, 561, 13774, 1117, 693, 1864, 693, 1153, 269, 1261, 729, 1360, 8909, 269, 769, 476, 1220, 279, 267, 1010, 6264, 2742, 4956, 547, 979, 547, 1153, 609, 1864, 269, 2701, 4280, 519, 1153, 547, 1577, 1200, 798, 865, 267, 855, 519, 3610, 4769, 1405, 3858, 269, 769, 476, 1220, 280, 267, 1352, 1500, 621, 14720, 4085, 519, 3610, 941, 6410, 676, 1200, 2648, 269, 634, 3610, 849, 4280, 1053, 547, 948, 519, 7911, 543, 6394, 811, 982, 476, 7785, 586, 10224, 585, 1864, 269, 634, 6264, 2742, 9709, 547, 979, 547, 1153, 609, 1200, 1178, 2738, 517, 2394, 646, 3893, 1134, 269, 2701, 1767, 2437, 7069, 7911, 945, 15055, 4730, 519, 14440, 568, 607, 15931, 607, 519, 824, 1453, 1701, 2073, 269, 1548, 666, 649, 1451, 689, 519, 8574, 888, 288, 269, 5213, 1405, 14902, 693, 1866, 563, 289, 269, 11146, 568, 1390, 563, 290, 269, 898, 781, 2760, 1932, 3735, 547, 1451, 563, 291, 269, 6435, 519, 1004, 538, 991, 563, 12585, 281, 645, 0, 9223, 281, 1215, 547, 1118, 28688, 4988, 3212, 534, 7491, 26135, 674, 19276, 454, 12585, 281, 17186, 476, 274, 11680, 11491, 4327, 4006, 267, 476, 476, 274, 270, 275, 7484, 5768, 25978, 267, 543, 476, 476, 273, 270, 274, 7484, 18493, 730, 5144, 538, 513, 1804, 267, 5230, 14036, 3966, 936, 5420, 3002, 267, 28817, 547, 23271, 4006, 269, 20780, 7848, 547, 513, 2407, 14974, 585, 476, 276, 3764, 267, 28817, 7683, 269, 476, 17179, 689, 3002, 543, 13489, 538, 476, 1321, 26412, 10859, 6653, 10217, 13365, 2394, 24268, 543, 8499, 5916, 269, 19468, 538, 476, 272, 476, 278, 26412, 20220, 540, 22153, 332, 9994, 1212, 1889, 267, 476, 272, 7484, 22872, 2776, 16379, 1564, 267, 543, 476, 272, 23188, 29877, 1349, 269, 18734, 535, 19276, 547, 13983, 1078, 476, 279, 1535, 476, 1724, 257, 3443, 543, 1577, 3579, 1354, 5969, 883, 10945, 269, 0, 7628, 519, 5198, 4432, 6511, 1185, 547, 1491, 811, 9397, 982, 15117, 1317, 4432, 6511, 13736, 513, 2603, 1447, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 842, 715, 815, 589, 11482, 2654, 282, 1109, 476, 1741, 476, 6892, 1109, 2260, 19461, 1125, 543, 12706, 519, 1109, 476, 6892, 1109, 2260, 21540, 618, 10326, 1109, 476, 6892, 1109, 30976, 1047, 306, 1122, 618, 21698, 18217, 5148, 1109, 476, 6892, 1109, 28265, 16360, 267, 476, 271, 267, 476, 271, 267, 715, 910, 476, 272, 5148, 1109, 476, 1741, 476, 6892, 1109, 2260, 9577, 11910, 1109, 476, 6892, 1109, 3519, 18030, 269, 2237, 18118, 32384, 21920, 10490, 267, 645, 267, 715, 267, 595, 4297, 282, 1109, 7684, 7684, 476, 1741, 12262, 901, 3009, 568, 8329, 676, 2820, 13433, 327, 5881, 273, 25171, 692, 1012, 808, 822, 2444, 2815, 19638, 20479, 1384, 274, 692, 11742, 29203, 281, 744, 18217, 16732, 8421, 715, 264, 273, 994, 288, 5060, 18416, 6611, 281, 744, 18217, 2020, 292, 2310, 13979, 281, 1677, 11126, 519, 1657, 1935, 267, 519, 2856, 568, 547, 946, 513, 1546, 4302, 676, 1210, 513, 27865, 821, 20313, 971, 602, 585, 1142, 1016, 6783, 540, 6378, 3259, 649, 666, 1265, 513, 5021, 538, 744, 263, 272, 264, 942, 269, 1280, 1022, 1016, 6783, 538, 519, 2039, 1496, 328, 267, 1775, 1341, 918, 1107, 476, 272, 316, 519, 1871, 4082, 547, 581, 7229, 568, 2016, 676, 1384, 19350, 616, 519, 3268, 1384, 1892, 9524, 519, 23030, 9612, 936, 519, 2039, 1496, 271, 267, 715, 316, 547, 1265, 519, 5021, 2009, 2450, 540, 519, 1016, 6783, 563, 1892, 19461, 1125, 1970, 607, 476, 271, 543, 1164, 607, 715, 563, 1892, 4855, 519, 1871, 540, 4571, 607, 630, 869, 1341, 1164, 8358, 273, 563, 1892, 6744, 952, 621, 568, 2009, 547, 1205, 519, 5021, 2450, 540, 519, 1016, 6783, 607, 4571, 610, 711, 607, 912, 1892, 2422, 632, 4302, 547, 1265, 519, 5021, 3693, 538, 1142, 1016, 6783, 540, 2450, 918, 538, 519, 5044, 1490, 337, 314, 14073, 1892, 4855, 519, 1871, 540, 519, 4082, 543, 952, 621, 693, 1034, 595, 1287, 2736, 856, 540, 713, 2783, 563, 1892, 22527, 2638, 585, 782, 2009, 1016, 6783, 2450, 4571, 543, 952, 519, 1871, 540, 519, 4082, 543, 952, 621, 693, 1034, 595, 1287, 2736, 856, 540, 713, 2783, 563, 1892, 17776, 7301, 952, 9039, 540, 519, 1657, 2175, 25389, 563, 1892, 1403, 519, 1699, 4571, 25389, 519, 2016, 2175, 1287, 9337, 5021, 3259, 607, 4571, 543, 1970, 607, 630, 13232, 1341, 476, 272, 1916, 1892, 22527, 22352, 1164, 607, 630, 13232, 1107, 476, 272, 1916, 1892, 2991, 519, 1657, 3268, 267, 1820, 519, 1871, 540, 519, 5021, 3259, 6740, 780, 19350, 568, 519, 6388, 540, 519, 1657, 1935, 1384, 1012, 595, 10030, 692, 12262, 595, 10030, 1982, 585, 519, 1657, 1935, 1948, 514, 2850, 1210, 4408, 10628, 31901, 282, 476, 1741, 12262, 9577, 547, 2638, 952, 621, 568, 2009, 12262, 547, 723, 971, 513, 1016, 6783, 540, 3259, 918, 536, 944, 2009, 17301, 513, 314, 3910, 703, 536, 314, 3910, 703, 562, 267, 703, 524, 267, 476, 18987, 13725, 1109, 842, 737, 264, 2715, 476, 1741, 476, 6892, 1109, 2260, 4855, 338, 519, 5021, 3693, 476, 6892, 1109, 2260, 538, 1142, 6885, 540, 2450, 737, 476, 6892, 1109, 1372, 4302, 546, 336, 282, 476, 1741, 476, 6892, 1109, 2260, 6744, 585, 6885, 540, 2450, 918, 476, 6892, 1109, 842, 2040, 815, 476, 271, 282, 476, 1741, 476, 6892, 1109, 2260, 1280, 782, 2009, 1016, 541, 7590, 540, 476, 6892, 1109, 2260, 3259, 737, 476, 6892, 1109, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 737, 282, 1775, 10030, 264, 1109, 476, 6892, 1109, 346, 476, 13725, 1109, 8999, 6834, 513, 5157, 22049, 476, 1741, 476, 13725, 1109, 2260, 19402, 632, 4302, 568, 8900, 476, 13725, 1109, 6112, 630, 323, 336, 25915, 3890, 3436, 476, 271, 30974, 536, 5157, 316, 3436, 536, 314, 323, 336, 269, 3724, 3890, 8079, 476, 24748, 1109, 323, 336, 21014, 318, 3724, 3890, 282, 476, 13725, 1109, 323, 336, 4877, 2313, 318, 3724, 9217, 5148, 476, 6892, 1109, 348, 476, 1741, 476, 6892, 1109, 2260, 12433, 519, 2698, 1942, 543, 476, 6892, 1109, 2260, 2638, 952, 1447, 982, 3160, 547, 524, 476, 6892, 1109, 842, 2698, 6831, 739, 815, 2040, 2608, 737, 1341, 536, 314, 323, 336, 8807, 3224, 3890, 22049, 476, 6892, 1109, 604, 630, 20135, 6831, 739, 10922, 524, 264, 476, 13725, 1109, 8873, 3020, 282, 476, 1741, 476, 6892, 1109, 2260, 4855, 2040, 540, 1699, 1016, 6783, 476, 6892, 1109, 2260, 543, 519, 2698, 1942, 476, 6892, 1109, 1721, 630, 842, 1775, 815, 737, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 476, 6892, 1109, 346, 476, 1741, 476, 13725, 1109, 2260, 3417, 519, 1007, 3693, 476, 13725, 1109, 2260, 540, 1699, 1016, 6783, 476, 13725, 1109, 8999, 6834, 513, 5157, 22049, 476, 1741, 476, 13725, 1109, 2260, 5494, 731, 519, 3693, 476, 13725, 1109, 2260, 540, 2063, 1016, 6783, 476, 13725, 1109, 8999, 20699, 513, 5157, 910, 737, 22049, 476, 1741, 476, 13725, 1109, 2260, 17179, 782, 519, 2609, 476, 13725, 1109, 2260, 538, 519, 2025, 6885, 476, 13725, 1109, 6112, 630, 323, 336, 25915, 3890, 3436, 476, 271, 30974, 546, 336, 8807, 3224, 3890, 10922, 1775, 910, 737, 264, 476, 24748, 1109, 323, 336, 21014, 6958, 3224, 3890, 282, 476, 13725, 1109, 6112, 630, 323, 336, 25915, 3890, 3436, 476, 271, 30974, 536, 5157, 316, 3436, 536, 314, 323, 336, 269, 3724, 3890, 8079, 476, 24748, 1109, 323, 336, 21014, 318, 3724, 3890, 282, 3396, 1741, 476, 13725, 1109, 323, 336, 4877, 2313, 318, 3724, 9217, 5148, 476, 1741, 476, 13725, 1109, 2260, 12433, 2698, 1942, 476, 13725, 1109, 2260, 543, 2638, 10922, 322, 476, 13725, 1109, 20135, 6831, 739, 815, 2040, 2608, 737, 1341, 536, 314, 323, 336, 8807, 3224, 3890, 22049, 476, 1741, 476, 13725, 1109, 2260, 1403, 1699, 1016, 6783, 476, 13725, 1109, 2260, 3259, 25389, 476, 13725, 1109, 604, 630, 20135, 6831, 739, 10922, 524, 264, 476, 24748, 1109, 8873, 3020, 282, 476, 6892, 1109, 348, 476, 1741, 476, 6892, 1109, 2260, 1403, 621, 568, 711, 2009, 476, 6892, 1109, 8873, 7301, 282, 7684, 476, 1741, 12262, 9577, 547, 1265, 5021, 3259, 12262, 540, 1016, 6783, 971, 602, 2040, 540, 12262, 5021, 3693, 538, 1016, 6783, 538, 1490, 337, 26514, 543, 12262, 2040, 540, 1016, 6783, 538, 2855, 26514, 2608, 918, 568, 693, 1034, 595, 703, 3193, 21920, 17301, 513, 314, 3910, 703, 536, 314, 3910, 703, 562, 267, 703, 524, 264, 2715, 476, 3396, 476, 6892, 1109, 2260, 12476, 8865, 476, 6892, 1109, 604, 630, 333, 2652, 476, 271, 264, 476, 13725, 1109, 8873, 476, 271, 282, 476, 1741, 476, 6892, 1109, 2260, 2913, 5021, 3259, 581, 476, 271, 476, 6892, 1109, 842, 3193, 28747, 815, 476, 271, 282, 476, 6892, 1109, 842, 1970, 815, 476, 271, 267, 1164, 815, 562, 282, 476, 1741, 476, 6892, 1109, 2260, 9524, 23030, 3406, 476, 6892, 1109, 6112, 630, 869, 10922, 1164, 264, 476, 6892, 1109, 346, 476, 1741, 476, 13725, 1109, 2260, 4855, 4571, 1871, 476, 13725, 1109, 842, 4571, 815, 1970, 1341, 630, 14683, 910, 1970, 264, 1315, 476, 273, 282, 476, 1741, 476, 13725, 1109, 2260, 6744, 952, 519, 1699, 4571, 476, 13725, 1109, 2260, 14183, 519, 2016, 2783, 476, 13725, 1109, 604, 630, 335, 6372, 5416, 267, 536, 267, 562, 267, 524, 267, 4571, 4297, 1109, 476, 13725, 1109, 346, 476, 1741, 476, 24748, 1109, 2260, 1403, 9811, 267, 1287, 4558, 3259, 476, 24748, 1109, 10946, 28747, 815, 4571, 282, 476, 24748, 1109, 869, 815, 4571, 1341, 476, 272, 282, 476, 13725, 1109, 348, 476, 1741, 476, 13725, 1109, 2260, 19227, 476, 13725, 1109, 12828, 476, 24748, 1109, 14683, 815, 4571, 910, 476, 272, 282, 476, 6892, 1109, 348, 476, 1741, 476, 6892, 1109, 2260, 17776, 5021, 3259, 6740, 476, 6892, 1109, 8873, 3193, 28747, 282, 7684, 476, 1741, 12262, 30905, 8943, 703, 1292, 3890, 2715, 476, 1741, 476, 6892, 1109, 842, 589, 26514, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 277, 267, 476, 276, 267, 476, 276, 267, 476, 277, 267, 476, 272, 7684, 282, 476, 6892, 1109, 842, 645, 26514, 815, 2715, 476, 1691, 267, 476, 279, 267, 476, 1428, 267, 476, 1428, 267, 476, 280, 267, 476, 1015, 267, 476, 278, 267, 476, 1321, 7684, 282, 476, 6892, 1109, 842, 715, 815, 2450, 1993, 10490, 8358, 21653, 1993, 10490, 314, 271, 316, 5148, 476, 6892, 1109, 842, 595, 815, 476, 2412, 282, 476, 6892, 1109, 322, 719, 24177, 3193, 21920, 10490, 267, 645, 267, 715, 267, 595, 5148, 476, 6892, 1109, 8873, 476, 271, 282, 7684, 476, 1741, 12262, 901, 3009, 568, 8329, 676, 667, 9618, 534, 754, 571, 700, 966, 692, 1012, 10084, 692, 12262, 10084, 1982, 585, 519, 1657, 1935, 476, 1741, 1104, 28162, 269, 1470, 30818, 282, 1104, 28162, 269, 583, 559, 30818, 282, 1362, 717, 293, 294, 2715, 476, 1741, 476, 6892, 1109, 2260, 9577, 547, 1265, 5021, 3259, 476, 6892, 1109, 2260, 540, 1016, 6783, 971, 602, 2040, 540, 476, 6892, 1109, 2260, 5021, 3693, 538, 1016, 6783, 538, 1490, 337, 26514, 543, 476, 6892, 1109, 2260, 2040, 540, 1016, 6783, 538, 2855, 26514, 2608, 918, 568, 693, 1034, 595, 476, 6892, 1109, 21504, 11979, 703, 3193, 21920, 263, 476, 13725, 1109, 842, 513, 314, 3910, 703, 536, 314, 3910, 703, 562, 267, 703, 524, 264, 476, 6892, 1109, 346, 476, 13725, 1109, 2260, 12476, 8865, 476, 13725, 1109, 604, 630, 333, 2652, 476, 271, 264, 476, 24748, 1109, 8873, 476, 271, 282, 476, 1741, 476, 13725, 1109, 2260, 2913, 5021, 3259, 581, 476, 271, 476, 13725, 1109, 842, 3193, 28747, 815, 476, 271, 282, 476, 1741, 476, 13725, 1109, 842, 1970, 815, 476, 271, 267, 1164, 815, 562, 282, 476, 1741, 476, 13725, 1109, 2260, 9524, 23030, 3406, 476, 13725, 1109, 6112, 630, 869, 10922, 1164, 264, 2715, 476, 1741, 476, 24748, 1109, 2260, 4855, 4571, 1871, 476, 24748, 1109, 842, 4571, 815, 1970, 1341, 630, 14683, 910, 1970, 264, 1315, 476, 273, 282, 476, 1741, 476, 24748, 1109, 2260, 6744, 952, 519, 1699, 4571, 476, 24748, 1109, 2260, 14183, 519, 2016, 2783, 476, 24748, 1109, 604, 630, 335, 6372, 5416, 267, 536, 267, 562, 267, 524, 267, 4571, 4297, 2715, 476, 1741, 476, 7673, 13725, 1109, 2260, 1403, 9811, 267, 1287, 4558, 3259, 476, 7673, 13725, 1109, 10946, 28747, 815, 4571, 282, 476, 7673, 13725, 1109, 869, 815, 4571, 1341, 476, 272, 282, 476, 24748, 1109, 348, 476, 1741, 476, 24748, 1109, 2260, 19227, 476, 24748, 1109, 12828, 476, 7673, 13725, 1109, 14683, 815, 4571, 910, 476, 272, 282, 476, 13725, 1109, 348, 476, 1741, 476, 13725, 1109, 2260, 17776, 5021, 3259, 6740, 476, 13725, 1109, 8873, 3193, 28747, 282, 476, 6892, 1109, 348, 476, 1741, 476, 6892, 1109, 2260, 9577, 547, 2638, 952, 621, 568, 2009, 476, 6892, 1109, 2260, 547, 723, 971, 513, 1016, 6783, 540, 3259, 918, 476, 6892, 1109, 21504, 11979, 1630, 18978, 2009, 263, 476, 13725, 1109, 842, 513, 314, 3910, 703, 536, 314, 3910, 703, 562, 267, 703, 524, 267, 703, 737, 264, 476, 6892, 1109, 346, 476, 1741, 476, 13725, 1109, 2260, 4855, 338, 519, 5021, 3693, 476, 13725, 1109, 2260, 538, 1142, 6885, 540, 2450, 737, 476, 13725, 1109, 291, 3225, 324, 546, 336, 476, 24748, 1109, 284, 1007, 21912, 8266, 3890, 282, 476, 1741, 476, 13725, 1109, 2260, 6744, 585, 6885, 540, 2450, 918, 476, 13725, 1109, 842, 2040, 815, 476, 271, 282, 476, 1741, 476, 13725, 1109, 2260, 1280, 782, 2009, 1016, 541, 7590, 540, 476, 13725, 1109, 2260, 3259, 737, 476, 13725, 1109, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 737, 282, 1775, 10030, 264, 2715, 476, 1741, 476, 24748, 1109, 8999, 6834, 513, 5157, 22049, 476, 1741, 476, 24748, 1109, 2260, 19402, 632, 4302, 568, 8900, 476, 24748, 1109, 6112, 630, 323, 336, 25915, 3890, 3436, 476, 271, 476, 18987, 1741, 1109, 261, 261, 536, 5157, 316, 3436, 536, 314, 323, 336, 269, 701, 2131, 8310, 3890, 8079, 476, 7673, 13725, 1109, 323, 336, 4877, 3326, 8310, 3890, 282, 476, 24748, 1109, 323, 336, 14491, 8310, 9217, 5148, 476, 13725, 1109, 348, 476, 1741, 476, 13725, 1109, 2260, 12433, 519, 2698, 1942, 543, 476, 13725, 1109, 2260, 2638, 952, 1447, 982, 3160, 547, 524, 476, 13725, 1109, 842, 2698, 6831, 739, 815, 2040, 2608, 737, 476, 18987, 7673, 1109, 266, 536, 314, 323, 336, 269, 701, 2131, 5575, 3890, 22049, 476, 13725, 1109, 604, 630, 20135 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3594, 2966, 547, 5000, 1715, 3840, 619, 547, 7947, 519, 6069, 9139, 269, 3571, 3126, 616, 2808, 1851, 519, 1655, 540, 1346, 2854, 547, 28586, 10073, 540, 519, 6069, 11156, 563, 1432, 616, 5313, 1235, 28866, 888, 325, 3985, 626, 269, 1323, 1367, 945, 10353, 519, 3731, 2305, 540, 519, 1007, 9139, 538, 476, 9965, 278, 269, 634, 14640, 6363, 3985, 1235, 941, 10353, 547, 513, 2178, 3844, 2229, 269, 8549, 626, 269, 18793, 540, 519, 11156, 1282, 519, 7521, 936, 922, 3731, 2305, 282, 23163, 513, 2178, 3084, 2229, 563, 8005, 654, 4710, 14640, 6363, 3985, 626, 7433, 476, 278, 888, 293, 3985, 626, 3143, 269, 476, 278, 454, 347, 20694, 6387, 16803, 267, 2278, 540, 8549, 626, 3143, 269, 476, 278, 2008, 347, 21812, 1475, 763, 18763, 4750, 2008, 347, 26397, 4266, 1475, 21776, 476, 1428, 267, 476, 9965, 278, 2008, 8005, 654, 4710, 14640, 6363, 3985, 626, 7433, 476, 10019, 888, 293, 3985, 626, 3143, 269, 476, 10019, 454, 347, 20694, 6387, 16803, 267, 2278, 540, 8549, 626, 3143, 269, 476, 10019, 2008, 347, 24314, 2140, 1475, 26807, 4937, 543, 16700, 3250, 10389, 8629, 687, 547, 519, 9139, 3117, 30872, 543, 5775, 26833, 2008, 8005, 654, 4710, 14640, 6363, 3985, 626, 7433, 476, 3066, 888, 293, 3985, 626, 3143, 269, 476, 3066, 454, 347, 20694, 6387, 16803, 267, 2278, 540, 8549, 626, 3143, 269, 476, 3066, 2008, 347, 26397, 4266, 1475, 20464, 476, 280, 267, 476, 9965, 279, 2008, 347, 7093, 1027, 539, 676, 1475, 293, 3985, 626, 3143, 269, 476, 2764, 2008, 8005, 654, 4710, 14640, 6363, 3985, 626, 7433, 476, 7761, 888, 7761, 568, 606, 1557, 676, 12138, 16803, 267, 519, 29235, 29364, 540, 634, 8549, 626, 14430, 269, 898, 729, 3370, 593, 4728, 476, 866, 267, 476, 9965, 279, 267, 896, 519, 15554, 7716, 6583, 2993, 639, 563, 1432, 568, 16803, 779, 1292, 1448, 538, 8549, 626, 7433, 7089, 476, 277, 888, 13775, 593, 5437, 476, 1691, 267, 476, 9965, 278, 267, 713, 1557, 13187, 585, 519, 2640, 540, 513, 9769, 1063, 519, 1977, 2829, 269, 4813, 958, 11331, 968, 3519, 1356, 940, 667, 13377, 689, 19837, 5014, 9737, 519, 2276, 5608, 8549, 626, 3143, 269, 476, 277, 5170, 547, 1865, 602, 519, 2276, 1131, 1821, 9876, 883, 4655, 609, 1142, 824, 563, 1432, 568, 519, 8549, 626, 7433, 476, 3583, 827, 888, 3583, 13187, 538, 3870, 540, 519, 1770, 776, 10324, 2813, 676, 9137, 4083, 540, 519, 2136, 2276, 9139, 269, 4340, 547, 12138, 16803, 267, 513, 1770, 776, 10324, 568, 2556, 547, 281, 2327, 12477, 538, 2229, 269, 5512, 519, 7022, 547, 9718, 1996, 15424, 1958, 25209, 906, 593, 1010, 1379, 563, 3963, 568, 8549, 626, 476, 7906, 1271, 888, 293, 3985, 626, 3143, 269, 476, 7906, 9607, 1797, 676, 799, 3617, 11974, 543, 21356, 666, 581, 2813, 538, 2229, 543, 849, 15156, 513, 9668, 540, 7060, 1369, 519, 3084, 2229, 269, 634, 2856, 540, 11974, 543, 21356, 568, 513, 2629, 851, 540, 519, 2413, 772, 2529, 269, 1062, 540, 2229, 563, 3963, 568, 8549, 626, 476, 4281, 1271, 888, 1103, 7713, 519, 991, 585, 606, 4830, 4140, 26547, 267, 12138, 16803, 7074, 538, 634, 8549, 626, 1948, 476, 4281, 602, 519, 5313, 10470, 968, 26200, 2966, 547, 581, 606, 13591, 1560, 1063, 519, 1004, 543, 741, 23328, 892, 538, 1931, 547, 2327, 602, 519, 1004, 779, 13222, 19500, 1152, 1369, 519, 6392, 2016, 547, 6837, 896, 6693, 1432, 568, 10480, 476, 10170, 888, 2005, 729, 3370, 538, 519, 1715, 3840, 13268, 564, 538, 606, 4674, 547, 18609, 519, 1004, 540, 1715, 3840, 547, 3731, 1518, 519, 1007, 9139, 269, 634, 4574, 941, 5921, 547, 20882, 1715, 3840, 543, 824, 2829, 547, 3731, 1518, 519, 6069, 9139, 267, 799, 729, 513, 1967, 693, 519, 1439, 563, 1432, 1281, 5313, 626, 476, 4281, 2161, 888, 293, 3985, 626, 3143, 269, 476, 4281, 11828, 519, 1379, 540, 16324, 2689, 269, 898, 13187, 602, 519, 5313, 10470, 723, 519, 2816, 540, 8159, 2436, 6411, 540, 6837, 616, 13338, 543, 1018, 1590, 581, 2944, 952, 519, 2229, 568, 5185, 609, 519, 1919, 602, 616, 2944, 593, 519, 14669, 540, 519, 9139, 269, 0, 7093, 28700, 267, 11841, 543, 7636, 8446, 540, 3597, 10275, 2254, 29712, 3941, 540, 16603, 538, 9031, 454, 25402, 6737, 568, 513, 4922, 6738, 10448, 538, 9031, 269, 1717, 267, 922, 2504, 568, 16094, 28653, 676, 3597, 24516, 29712, 3941, 630, 305, 298, 28213, 1040, 6452, 23847, 8446, 540, 681, 298, 28213, 568, 1898, 585, 606, 3617, 1852, 1982, 269, 634, 1699, 1353, 11117, 519, 9860, 267, 11841, 543, 4763, 540, 681, 298, 28213, 540, 16603, 7031, 6738, 538, 519, 918, 1506, 828, 623, 752, 6255, 6064, 327, 11445, 19435, 543, 741, 8446, 1210, 7636, 2645, 269, 589, 2361, 5619, 267, 1519, 476, 1789, 5010, 16603, 4610, 267, 729, 5342, 538, 4557, 2101, 16603, 3395, 2127, 540, 4210, 520, 543, 5689, 752, 663, 15523, 1282, 5614, 476, 1001, 271, 269, 634, 2949, 9860, 543, 11841, 538, 519, 1353, 1858, 729, 476, 10695, 269, 274, 543, 476, 7367, 269, 271, 9077, 6606, 269, 8422, 2249, 540, 681, 298, 28213, 267, 9253, 1355, 9609, 928, 5749, 7559, 267, 631, 269, 1651, 1758, 7534, 543, 631, 269, 795, 24170, 3821, 941, 1336, 4805, 610, 538, 6404, 5095, 269, 8376, 11841, 24132, 689, 476, 1015, 260, 538, 5689, 752, 663, 615, 547, 476, 1911, 260, 543, 476, 3445, 547, 476, 1911, 260, 538, 808, 629, 3316, 543, 5689, 752, 663, 267, 6606, 269, 634, 6574, 7086, 532, 4994, 630, 22835, 264, 630, 276, 269, 271, 264, 543, 4212, 2527, 4994, 630, 4932, 296, 264, 630, 276, 269, 271, 264, 729, 6592, 538, 5439, 689, 808, 629, 3316, 267, 6466, 519, 9803, 22542, 543, 661, 11085, 941, 6592, 538, 5439, 689, 5689, 752, 663, 615, 543, 623, 21983, 1177, 541, 269, 634, 2551, 5860, 540, 681, 298, 28213, 729, 5207, 538, 5072, 630, 277, 3451, 269, 271, 5798, 543, 2034, 22533, 5104, 32596, 264, 543, 3037, 630, 276, 3451, 269, 271, 5798, 543, 2034, 22533, 5104, 32596, 264, 5439, 540, 808, 629, 3316, 269, 5027, 29208, 609, 678, 19091, 630, 291, 273, 288, 5937, 274, 289, 264, 543, 630, 3707, 547, 476, 4198, 264, 2215, 619, 28659, 476, 16020, 543, 476, 24798, 536, 335, 2472, 585, 631, 269, 5749, 7559, 267, 631, 269, 1651, 1758, 7534, 543, 631, 269, 795, 24170, 3821, 267, 6606, 269, 2549, 680, 2305, 609, 5311, 6353, 28659, 4525, 630, 17092, 2752, 264, 2215, 619, 3812, 8984, 2472, 540, 476, 22213, 536, 335, 585, 631, 269, 5749, 7559, 630, 293, 541, 24250, 541, 1070, 476, 6344, 271, 536, 335, 585, 631, 269, 1651, 1758, 7534, 630, 293, 4532, 24250, 4532, 1070, 543, 476, 277, 3583, 536, 335, 585, 631, 269, 795, 24170, 3821, 630, 293, 329, 822, 24250, 329, 822, 1040, 5027, 29208, 540, 544, 339, 19091, 609, 595, 273, 293, 274, 270, 8099, 279, 2215, 619, 26857, 513, 476, 10204, 271, 536, 335, 2450, 1587, 585, 782, 1614, 2249, 540, 681, 298, 28213, 538, 6476, 609, 476, 26392, 543, 476, 16020, 536, 335, 585, 631, 269, 669, 527, 6229, 328, 543, 4283, 565, 984, 4512, 267, 6606, 267, 799, 941, 8246, 607, 1852, 269, 14938, 9760, 519, 476, 2764, 306, 678, 19091, 1587, 6383, 609, 519, 667, 273, 288, 5937, 274, 289, 2215, 619, 1705, 711, 16174, 1851, 519, 1614, 9253, 1355, 9609, 928, 24094, 269, 689, 519, 1353, 1858, 563, 7659, 1913, 281, 9253, 1355, 9609, 928, 267, 2249, 8446, 267, 829, 710, 531, 4806, 267, 5311, 6353, 28659, 4525, 630, 17092, 2752, 264, 2215, 619, 269, 0, 7437, 513, 3126, 540, 2565, 543, 13181, 11271, 8720, 3140, 543, 4207, 3069, 267, 834, 763, 22960, 5071, 24153, 257, 7710, 519, 3818, 1922, 14239, 2470, 540, 6752, 1374, 543, 922, 2404, 8658, 267, 3157, 543, 16097, 269, 901, 7990, 11609, 1433, 3217, 513, 4052, 1413, 693, 811, 4359, 4485, 547, 6752, 5373, 267, 2324, 609, 7990, 2923, 267, 2780, 8584, 3660, 1374, 585, 6752, 267, 1382, 3157, 267, 2324, 609, 17250, 9248, 547, 1020, 543, 6218, 3860, 2093, 543, 2679, 10070, 269, 23694, 1818, 543, 5663, 3157, 616, 849, 2808, 538, 6935, 547, 1106, 6819, 543, 2870, 18634, 5439, 538, 519, 1374, 18638, 269, 4197, 519, 5007, 6752, 2344, 1604, 543, 922, 12119, 2470, 568, 2808, 538, 6935, 547, 3318, 8658, 602, 1331, 875, 547, 4612, 543, 1174, 513, 1374, 5618, 267, 13389, 543, 8600, 513, 6752, 14769, 585, 606, 5967, 543, 10747, 4876, 3853, 585, 3318, 7694, 3255, 563, 2690, 513, 5467, 945, 568, 6236, 713, 4876, 2619, 610, 4098, 741, 17440, 267, 519, 1257, 3947, 513, 1360, 2312, 543, 3102, 1620, 540, 6752, 1374, 269, 898, 781, 5140, 693, 8720, 519, 3119, 2127, 540, 519, 6752, 1374, 2872, 269, 24697, 13056, 1069, 267, 29807, 976, 267, 634, 1715, 3427, 585, 5071, 267, 7330, 22682, 11225, 519, 2361, 540, 813, 28328, 543, 6752, 1374, 269, 3689, 1032, 1053, 723, 10288, 713, 2140, 10446, 1310, 1373, 6534, 547, 519, 2140, 543, 9115, 538, 1362, 269, 634, 11271, 543, 2035, 616, 13801, 543, 5693, 4843, 3267, 634, 9499, 3812, 676, 20724, 288, 616, 21230, 11720, 539, 267, 1134, 11295, 543, 540, 3407, 5813, 3448, 547, 519, 1950, 6752, 2872, 689, 4810, 2043, 269, 634, 1603, 1893, 568, 2653, 547, 1224, 585, 513, 30497, 267, 543, 2488, 513, 3178, 540, 5133, 543, 5813, 998, 799, 19023, 4648, 666, 1118, 1007, 12496, 269, 22985, 548, 681, 4461, 6577, 267, 2160, 540, 519, 2605, 6471, 9503, 267, 4516, 901, 3810, 543, 1134, 268, 650, 755, 3603, 4320, 676, 22846, 630, 310, 514, 17998, 3427, 540, 3203, 267, 5177, 264, 568, 2966, 547, 4217, 6752, 1374, 1053, 3267, 547, 2744, 606, 1620, 540, 519, 1883, 3252, 543, 3157, 602, 17663, 519, 1374, 267, 4070, 267, 543, 2504, 540, 6752, 30384, 610, 10070, 269, 898, 1223, 3362, 4196, 607, 513, 1837, 538, 1022, 4367, 547, 6752, 1374, 267, 6752, 5373, 267, 4806, 1374, 267, 688, 1393, 524, 719, 675, 1374, 543, 2504, 267, 610, 1022, 1644, 6030, 269, 898, 568, 954, 4944, 619, 539, 609, 1627, 26031, 7886, 609, 4648, 538, 519, 2361, 269, 32087, 616, 11271, 593, 519, 6752, 4137, 630, 16225, 532, 5373, 543, 14745, 2553, 5148, 2681, 543, 5958, 282, 13167, 30384, 630, 5228, 18638, 998, 546, 1905, 532, 267, 22927, 267, 1660, 4802, 270, 1729, 850, 267, 543, 5439, 5148, 10070, 630, 10175, 14499, 543, 9306, 513, 4015, 5148, 543, 14769, 543, 3318, 2259, 630, 753, 342, 1359, 2055, 971, 607, 1018, 513, 23138, 1281, 1040, 4746, 12286, 616, 513, 15853, 585, 2417, 2542, 267, 4901, 2055, 267, 543, 2238, 269, 901, 786, 581, 513, 3730, 1840, 585, 2930, 270, 22106, 1049, 3292, 610, 5393, 3102, 6752, 10070, 269, 5681, 2719, 5455, 281, 30318, 269, 13722, 268, 543, 5580, 7400, 896, 6588, 706, 919, 267, 1079, 4458, 2930, 1982, 1053, 267, 9439, 267, 543, 2489, 5304, 269, 595, 269, 21862, 839, 267, 8235, 11206, 5441, 267, 14893, 2689, 267, 4873, 476, 1001, 273, 634, 1433, 814, 513, 1360, 3102, 1935, 547, 6752, 1374, 269, 16610, 723, 1044, 19286, 730, 538, 513, 1259, 865, 607, 547, 7520, 2653, 1620, 269, 898, 1131, 581, 1034, 5363, 585, 14987, 269, 14465, 6062, 808, 3873, 267, 2817, 4659, 540, 22960, 5303, 267, 3127, 589, 1134, 2854, 543, 24617, 4843, 2347, 1433, 585, 1312, 1053, 543, 19174, 269, 966, 663, 3570, 23902, 836, 2073, 2817, 6184, 527, 3482, 540, 22960, 5303, 267, 3127, 454, 11990, 22846, 5249, 607, 513, 530, 558, 839, 18875, 14704, 693, 26566, 1122, 518, 543, 8738, 9440, 585, 936, 4557, 1296, 269, 3571, 3450, 4876, 3459, 538, 519, 2136, 2276, 267, 1141, 646, 6039, 607, 11381, 540, 22960, 693, 14205, 20087, 23045, 613, 540, 3203, 543, 5071, 267, 1354, 2921, 909, 1010, 1699, 2990, 607, 2212, 540, 22960, 543, 7956, 3796, 693, 12736, 17998, 3427, 540, 3203, 267, 5177, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 13188, 4972, 814, 513, 1686, 14869, 539, 538, 1101, 338, 267, 6791, 267, 543, 5647, 454, 763, 5853, 532, 540, 519, 4972, 630, 6642, 271, 338, 268, 3707, 271, 338, 994, 298, 15811, 1290, 534, 12544, 1762, 267, 1582, 2389, 4381, 30168, 21534, 676, 519, 5441, 538, 476, 6642, 271, 547, 4001, 20116, 1765, 4752, 1229, 513, 1576, 593, 4853, 1686, 538, 519, 3778, 4972, 538, 476, 6642, 274, 282, 1934, 5956, 519, 3638, 1686, 540, 519, 4270, 525, 2917, 5441, 13188, 4972, 563, 290, 2674, 3533, 3459, 547, 3310, 519, 2361, 540, 9297, 693, 4270, 525, 2917, 543, 3564, 269, 769, 476, 6642, 276, 267, 693, 1175, 476, 2764, 1296, 2025, 267, 1290, 534, 729, 3957, 7905, 540, 3778, 543, 11572, 19004, 269, 2334, 1482, 1032, 267, 1352, 729, 519, 1152, 4807, 1851, 519, 27428, 540, 519, 1977, 9483, 5948, 630, 288, 12788, 1070, 606, 3919, 5009, 2804, 1382, 602, 2221, 814, 936, 476, 736, 267, 1822, 2818, 269, 1290, 534, 729, 519, 834, 14140, 1977, 4807, 540, 7194, 2437, 2687, 547, 513, 1686, 540, 519, 3450, 540, 7194, 543, 513, 6205, 538, 3067, 4328, 1514, 2242, 607, 5238, 8057, 610, 17379, 269, 2701, 1131, 979, 593, 547, 2278, 519, 1291, 2376, 538, 519, 1101, 3390, 540, 519, 1977, 9483, 5623, 538, 476, 4489, 272, 267, 513, 1957, 593, 519, 2804, 1686, 540, 12555, 538, 519, 1977, 7178, 602, 568, 1869, 11855, 676, 24192, 543, 12206, 2221, 563, 2026, 1290, 534, 2968, 811, 7986, 538, 519, 2361, 540, 9297, 267, 519, 5441, 6444, 519, 991, 547, 5094, 9297, 689, 519, 4972, 540, 3778, 538, 519, 5518, 781, 16316, 7797, 540, 476, 6642, 277, 912, 2108, 23178, 1290, 534, 267, 593, 1200, 2132, 689, 590, 13741, 520, 673, 4734, 267, 9060, 9887, 811, 982, 4628, 13026, 609, 1200, 1804, 5049, 538, 13188, 543, 3778, 269, 634, 1719, 538, 2804, 2090, 568, 513, 1129, 540, 519, 2053, 281, 7905, 1290, 534, 779, 1378, 1899, 540, 4853, 1686, 568, 19788, 2479, 2810, 3007, 269, 898, 4667, 1164, 942, 547, 5305, 1200, 689, 519, 5279, 540, 513, 12242, 8257, 267, 543, 547, 1450, 1200, 547, 2285, 1200, 2407, 4222, 547, 1346, 3515, 540, 7634, 543, 6044, 799, 1352, 814, 1500, 1200, 1378, 3034, 298, 15811, 1290, 534, 8547, 519, 4972, 540, 13188, 543, 24205, 538, 476, 5002, 271, 269, 769, 519, 2038, 1296, 267, 8370, 6030, 941, 6035, 676, 1614, 12200, 2818, 269, 1290, 534, 5059, 1200, 1378, 1382, 593, 2055, 1644, 547, 4853, 1689, 1519, 4974, 519, 2360, 540, 3152, 2804, 4398, 269, 2701, 6444, 602, 519, 4473, 540, 3532, 14078, 602, 941, 811, 17215, 3608, 1131, 1291, 547, 513, 3463, 593, 11832, 779, 2924, 269, 8550, 835, 547, 1694, 1394, 267, 1352, 5280, 10891, 519, 9628, 12275, 618, 4518, 518, 10880, 538, 476, 4489, 271, 267, 538, 799, 476, 2412, 267, 1822, 12051, 4600, 267, 6140, 19366, 2021, 267, 1486, 6479, 4057, 2324, 2175, 269, 1290, 534, 669, 8529, 519, 8257, 2394, 1200, 16468, 538, 476, 4489, 274, 269, 2334, 1032, 267, 4270, 525, 2917, 5441, 13752, 476, 1626, 5232, 538, 9297, 543, 15257, 563, 9961, 519, 1985, 1079, 5756, 267, 2875, 1719, 538, 9297, 7283, 11931, 607, 519, 1158, 3357, 856, 540, 519, 4279, 12870, 543, 3223, 2106, 14198, 2804, 6436, 3576, 3180, 269, 769, 476, 3707, 271, 267, 519, 5441, 556, 23457, 1896, 13623, 267, 4611, 538, 9297, 543, 15257, 1373, 9674, 883, 3982, 13623, 269, 769, 519, 1101, 1032, 1310, 519, 8237, 267, 519, 8257, 21783, 476, 1704, 32407, 269, 3683, 519, 476, 3707, 271, 338, 267, 519, 1796, 17038, 821, 13188, 4972, 4797, 547, 1332, 267, 4271, 908, 476, 3953, 32407, 676, 476, 4198, 271, 563, 763, 22547, 540, 674, 32209, 630, 4198, 271, 338, 268, 3422, 271, 338, 994, 1103, 519, 476, 4198, 271, 338, 267, 8349, 2106, 26396, 13852, 543, 21244, 7108, 2006, 8678, 519, 13188, 4972, 267, 8744, 519, 1297, 540, 2407, 6066, 12200, 2818, 547, 2947, 269, 1452, 1079, 6422, 12200, 2818, 941, 3810, 9565, 538, 519, 8257, 585, 519, 1985, 1896, 5756, 563, 10111, 565, 2106, 26396, 13852, 8678, 519, 4270, 525, 2917, 5441, 12200, 538, 476, 4198, 271, 18468, 972, 729, 1100, 1448, 538, 7311, 547, 4001, 9170, 3116, 1317, 513, 4775, 30168, 1131, 711, 581, 21534, 269, 4438, 1200, 942, 693, 4270, 525, 2917, 267, 1352, 22579, 519, 2165, 968, 293, 32209, 892, 585, 968, 845, 518, 9297, 32407, 892, 543, 2968, 513, 22299, 585, 2021, 538, 519, 2361, 269, 2701, 729, 851, 540, 513, 3350, 693, 519, 476, 3192, 272, 1977, 9483, 5948, 630, 288, 12788, 264, 5870, 602, 1572, 585, 606, 1439, 540, 7130, 1996, 2021, 538, 519, 9297, 3924, 267, 3056, 547, 519, 5137, 540, 519, 9730, 593, 519, 21073, 540, 6468, 538, 519, 13188, 25088, 630, 5425, 310, 7968, 1040, 11483, 310, 7968, 2968, 513, 7555, 12233, 540, 519, 589, 12788, 547, 3895, 519, 11678, 540, 2021, 538, 9297, 543, 6895, 741, 13120, 538, 519, 2361, 269, 13852, 6594, 7082, 9297, 267, 2519, 593, 7082, 18820, 543, 9494, 267, 543, 15469, 11826, 8579, 2079, 540, 5619, 1239, 269, 2701, 5645, 713, 883, 1200, 1909, 693, 11483, 310, 7968, 267, 27510, 606, 5993, 5619, 540, 4775, 12200, 2818, 543, 10927, 1053, 538, 9297, 602, 568, 1869, 538, 946, 2221, 269, 634, 5619, 5170, 547, 3561, 519, 1297, 540, 4775, 12200, 693, 782, 2157, 543, 519, 1297, 540, 4775, 9297, 25719, 1053, 269, 1677, 5431, 1200, 18979, 11428, 547, 5009, 2021, 538, 9297, 267, 519, 589, 12788, 3964, 519, 8349, 2106, 26396, 13852, 13815, 538, 476, 1960, 279, 267, 2016, 12422, 547, 5431, 513, 1268, 945, 814, 9663, 1492, 1042, 519, 4567, 540, 2021, 538, 519, 9297, 3924, 563, 300, 6702, 718, 7108, 2006, 3357, 547, 4270, 525, 2917, 5441, 538, 476, 4198, 279, 269, 1306, 519, 12019, 2782, 1671, 4240, 1063, 519, 772, 2529, 269, 543, 6576, 267, 1053, 21936, 539, 519, 5441, 547, 2709, 513, 6739, 5525, 1982, 269, 1879, 7108, 2006, 267, 606, 18368, 15197, 4274, 538, 6739, 9297, 543, 6214, 267, 8678, 519, 13188, 4972, 267, 1010, 6030, 941, 513, 2462, 2721, 585, 782, 4270, 525, 2917, 1053, 269, 4438, 1010, 1279, 4876, 693, 4270, 525, 2917, 267, 646, 14612, 4749, 547, 519, 8168, 5742, 267, 693, 2053, 5870, 609, 631, 16554, 841, 717, 12643, 5995, 341, 543, 32157, 30922, 269, 1261, 1558, 609, 772, 2529, 269, 27504, 267, 6723, 17312, 543, 6723, 654, 269, 17312, 267, 543, 729, 1419, 1572, 2390, 676, 824, 2229, 543, 1870, 3401, 269, 7108, 2006, 729, 513, 30508, 5856, 267, 13629, 811, 982, 513, 18797, 2835, 593, 519, 8168, 543, 6739, 4346, 543, 3875, 6644, 4773, 538, 772, 2529, 269, 14786, 543, 1974, 25025, 269, 3571, 6791, 729, 4922, 8179, 676, 519, 2923, 267, 8380, 519, 30425, 593, 4270, 525, 2917, 5441, 543, 519, 13188, 4972, 269, 769, 476, 1960, 272, 267, 21244, 7108, 2006, 729, 11221, 547, 519, 1977, 9142, 540, 8551, 543, 7070, 267, 513, 21981, 547, 1010, 5718, 538, 24243, 543, 593, 519, 1158, 3942, 269, 1677, 10802, 519, 1353, 540, 9297, 585, 4270, 525, 2917, 1053, 267, 21244, 543, 1010, 7385, 8585, 548, 1252, 3585, 14102, 519, 7108, 2006, 17976, 10022, 538, 476, 1960, 273, 269, 3509, 8037, 24192, 723, 1044, 10529, 267, 1519, 3967, 564, 962, 749, 523, 538, 476, 1960, 276, 543, 3627, 26366, 996, 8895, 3630, 603, 538, 476, 1960, 280, 269, 2060, 1776, 21464, 10516, 689, 7108, 2006, 543, 1010, 1920, 538, 476, 1001, 273, 267, 4270, 525, 2917, 5441, 3964, 519, 21244, 594, 269, 7108, 2006, 7736, 15735, 5584, 11208, 538, 13188, 563, 13828, 13852, 543, 7108, 2006, 941, 2178, 15156, 585, 4270, 525, 2917, 779, 674, 4932, 338, 267, 2523, 5009, 741, 13120, 538, 1870, 269, 589, 476, 1960, 276, 1715, 3840, 8648, 2376, 13006, 519, 9645, 1297, 540, 4270, 525, 2917, 2021, 538, 1283, 1377, 10324, 7158, 543, 7608, 547, 12370, 6355, 3427, 282, 621, 17099, 13852, 607, 513, 2101, 2601, 585, 713, 1377, 540, 1967, 269, 1879, 7108, 2006, 729, 17348, 540, 519, 4972, 538, 476, 3192, 272, 267, 646, 9250, 519, 8257, 20394, 538, 1931, 547, 3895, 513, 2178, 4276, 1063, 519, 4972, 543, 922, 620, 4379, 2801, 269, 769, 519, 1101, 20394, 267, 7108, 2006, 3838, 1018, 519, 1158, 4371, 538, 4558, 585, 4270, 525, 2917, 779, 9297, 20021, 912, 10527, 1870, 8996, 1862, 4667, 547, 581, 6679, 909, 811, 543, 811, 547, 938, 1053, 269, 2561, 30068, 267, 519, 2866, 938, 1053, 616, 8391, 568, 1360, 1454, 5551, 676, 1082, 1870, 10909, 543, 538, 1249, 649, 3006, 1745, 899, 513, 6280, 5026, 14482, 600, 269, 674, 8787, 2119, 547, 986, 573, 519, 4972, 543, 1303, 823, 938, 1053, 883, 519, 2361, 1256, 1247, 789, 616, 11264, 741, 5232, 269, 1703, 568, 9645, 3747, 585, 24192, 945, 616, 2111, 547, 6023, 1859, 13011, 3631, 543, 798, 2344, 1382, 610, 798, 5092, 2079, 543, 649, 723, 1336, 538, 1249, 602, 713, 1032, 972, 616, 811, 2816, 3255, 982, 972, 616, 4271, 908, 20650, 3034, 2304, 5890, 21505, 10020, 538, 3447, 908, 4270, 525, 2917, 4841, 630, 3192, 271, 338, 268, 1960, 271, 338, 994, 763, 13188, 4972, 4810, 23292, 2208, 2429, 519, 11157, 625, 267, 23185, 676, 2178, 2875, 1719, 538, 9297, 543, 519, 12625, 540, 1347, 29487, 1007, 12200, 2818, 563, 288, 2442, 1576, 1572, 968, 763, 15278, 892, 729, 1101, 6035, 676, 9683, 32082, 18628, 2836, 1457, 6229, 538, 476, 3192, 273, 267, 3056, 547, 606, 7525, 5818, 538, 8257, 18934, 906, 269, 589, 5449, 1870, 10324, 543, 519, 6205, 540, 513, 5763, 2359, 2754, 267, 2836, 1457, 6229, 8120, 547, 4270, 525, 2917, 1082, 2053, 936, 519, 1985, 4557, 1296, 547, 4001, 519, 1576, 267, 3384, 513, 2178, 25505, 585, 519, 13188, 4972, 269, 769, 476, 1960, 280, 267, 12254, 2836, 1457, 6229, 1252, 3585, 14102, 519, 2836, 1457, 6229, 5584, 11208, 538, 13188, 269, 2991, 12254, 781, 2669, 267, 519, 8257, 4607, 3606, 7616, 689, 519, 2836, 1457, 6229, 4077, 3386, 7690, 538, 1010, 8956, 267, 9591, 519, 2836, 1457, 6229, 8750, 585, 13188, 538, 476, 1220, 277, 269, 901, 2508, 7028, 519, 5993, 2836, 1457, 6229, 11000, 543, 513, 8257, 29519, 3126, 563, 1103, 476, 3192, 277, 267, 20913, 968, 290, 1222, 892, 8865, 8678, 519, 8257, 269, 769, 1010, 476, 4097, 4458, 26022, 267, 932, 760, 8865, 10769, 1563, 5128, 547, 4270, 525, 2917, 1053, 538, 519, 13188, 4972, 607, 513, 13730, 4116, 543, 13991, 10178, 540, 5441, 7619, 923, 269, 769, 519, 2361, 540, 9297, 267, 646, 568, 9976, 585, 1010, 5137, 630, 5976, 7917, 1744, 14525, 540, 23171, 2160, 264, 540, 519, 8865, 4149, 577, 14525, 4994, 267, 513, 25761, 2777, 3902, 4994, 269, 634, 8865, 27691, 14525, 12039, 568, 1631, 13931, 547, 9208, 543, 18648, 781, 543, 3788, 519, 2872, 3044, 585, 7893, 2777, 3902, 2242, 269, 8865, 3370, 14916, 593, 8027, 6990, 543, 5777, 267, 1519, 1082, 4574, 602, 8612, 519, 4220, 2404, 609, 8027, 1630, 1682, 269, 769, 476, 2735, 280, 267, 646, 1071, 22052, 23482, 606, 2606, 9297, 1837, 602, 2968, 513, 1655, 22673, 543, 729, 1034, 5063, 556, 1170, 4240, 538, 513, 476, 1321, 628, 7160, 538, 476, 1001, 278, 563, 305, 617, 2284, 31513, 267, 7325, 773, 4223, 628, 2801, 328, 267, 543, 7788, 16959, 6577, 31864, 974, 941, 824, 6131, 12200, 2818, 945, 6026, 1282, 713, 5736, 267, 4946, 547, 519, 3178, 540, 519, 8257, 781, 1576, 17008, 543, 12018, 9118, 1053, 1282, 741, 1279, 4557, 999, 269, 31513, 267, 513, 4759, 540, 519, 8257, 689, 476, 3422, 276, 547, 476, 1220, 271, 267, 30363, 2835, 593, 12550, 31754, 267, 2797, 4346, 267, 543, 519, 14082, 4346, 269, 1261, 4797, 519, 8257, 781, 2245, 540, 3450, 17284, 676, 10888, 519, 5441, 17253, 18237, 753, 7288, 9752, 15356, 538, 476, 2735, 276, 269, 7325, 773, 4223, 628, 2801, 328, 8678, 519, 8257, 538, 476, 3192, 279, 267, 4687, 1200, 6791, 538, 519, 1287, 15041, 1120, 532, 2361, 540, 15594, 9297, 609, 1053, 2394, 1200, 16468, 538, 476, 1001, 280, 269, 1323, 19191, 4081, 543, 1071, 1922, 10133, 540, 519, 772, 2529, 269, 20348, 10846, 19004, 8416, 267, 4223, 628, 2801, 328, 9415, 1200, 1053, 547, 2243, 519, 4567, 28943, 538, 1931, 547, 1628, 513, 811, 1175, 543, 4264, 4346, 269, 7788, 16959, 6577, 31864, 974, 729, 513, 4759, 540, 519, 8257, 689, 476, 2735, 275, 547, 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 ]
[ 713, 2243, 538, 5437, 676, 513, 454, 339, 8145, 754, 748, 5354, 585, 21563, 534, 543, 22640, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3287, 13580, 318, 290, 18079, 2094, 3230, 314, 307, 3287, 13580, 318, 290, 2330, 568, 519, 3961, 5119, 780, 3963, 568, 713, 286, 9701, 333, 1405, 14921, 513, 5119, 540, 513, 7004, 609, 2463, 547, 835, 4493, 676, 519, 1689, 540, 4493, 5119, 585, 602, 4493, 3142, 621, 547, 519, 824, 4493, 286, 4208, 1281, 621, 711, 286, 1548, 781, 519, 3017, 1063, 519, 5119, 540, 519, 7004, 543, 1022, 824, 5119, 2496, 763, 10035, 3230, 314, 307, 3287, 13580, 18155, 24837, 645, 6525, 25848, 999, 519, 1249, 602, 972, 616, 2965, 1079, 13279, 538, 1404, 281, 519, 968, 6358, 2108, 4493, 267, 1775, 4318, 1421, 519, 4493, 6695, 24837, 645, 2330, 6074, 585, 519, 6389, 540, 3230, 307, 18079, 543, 519, 968, 16059, 2108, 4493, 9789, 4493, 6695, 24837, 645, 262, 2330, 6074, 585, 3230, 307, 2330, 685, 338, 13798, 558, 664, 269, 769, 14921, 593, 519, 2451, 676, 513, 1689, 6361, 1532, 12118, 5119, 267, 596, 4076, 4957, 519, 3977, 4493, 267, 855, 711, 519, 3403, 4493, 780, 288, 10035, 602, 2306, 713, 8763, 568, 3230, 314, 307, 316, 18155, 24837, 645, 262, 23685, 24837, 645, 6525, 269, 5675, 519, 3403, 4493, 607, 513, 25436, 5296, 543, 3977, 607, 513, 31941, 2636, 585, 513, 2241, 544, 26937, 4577, 3926, 281, 952, 596, 20301, 519, 11282, 24042, 3448, 547, 6695, 24837, 645, 2330, 540, 513, 6152, 6695, 10400, 642, 2330, 676, 3230, 24560, 10400, 642, 316, 18155, 24837, 645, 6525, 267, 1287, 538, 519, 1587, 3230, 314, 307, 316, 18155, 24837, 645, 262, 23685, 24837, 645, 22042, 315, 10400, 642, 316, 18155, 24837, 645, 6525, 267, 596, 666, 1589, 540, 519, 1079, 6695, 24837, 645, 2330, 685, 338, 607, 18005, 666, 576, 1782, 950, 789, 2461, 11105, 269, 6684, 267, 950, 14921, 1079, 14290, 267, 519, 25436, 5296, 540, 519, 2451, 11804, 2165, 968, 322, 766, 3149, 892, 1996, 519, 31941, 540, 519, 1318, 11804, 2165, 269, 769, 713, 10035, 267, 519, 3230, 314, 307, 3287, 13580, 18155, 24837, 645, 6525, 538, 707, 2243, 1131, 581, 2854, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 6525, 267, 609, 519, 1482, 4493, 585, 3403, 543, 3977, 269, 31334, 692, 1607, 10035, 849, 13071, 596, 2638, 602, 519, 13279, 6474, 909, 7157, 281, 3230, 314, 307, 316, 18155, 24837, 645, 262, 23685, 24837, 645, 22042, 315, 10400, 642, 316, 18155, 24837, 645, 6525, 2306, 2631, 1317, 519, 5119, 26770, 607, 3403, 10974, 3448, 547, 6695, 24837, 645, 18079, 855, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 262, 22042, 315, 10400, 642, 316, 18155, 24837, 645, 6525, 3085, 1406, 1317, 519, 3403, 1590, 581, 6829, 3448, 547, 6695, 24837, 645, 262, 18079, 855, 3230, 24560, 10400, 642, 316, 18155, 24837, 645, 6525, 568, 538, 513, 1114, 4493, 780, 8794, 713, 10035, 267, 513, 1689, 6361, 1532, 12118, 5119, 568, 519, 5119, 540, 519, 3961, 4786, 609, 3617, 3403, 543, 3977, 13279, 281, 3079, 540, 3230, 303, 18155, 24837, 595, 13375, 5535, 315, 24837, 645, 6525, 835, 1131, 2328, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 6525, 269, 1677, 1689, 519, 4493, 540, 519, 11282, 24042, 540, 513, 6152, 267, 1287, 267, 649, 1175, 2451, 2173, 738, 17586, 676, 513, 1689, 6361, 1532, 12118, 5119, 281, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 315, 10400, 642, 316, 18155, 24837, 645, 348, 815, 1496, 315, 10400, 642, 316, 18155, 24837, 595, 20467, 2330, 589, 6152, 1152, 814, 606, 3977, 267, 952, 596, 786, 780, 4002, 519, 824, 1688, 267, 513, 5276, 7004, 814, 1312, 606, 3403, 543, 3977, 267, 543, 1142, 1590, 581, 18808, 609, 14384, 269, 1635, 1152, 2451, 2173, 738, 28745, 676, 513, 1689, 6361, 1532, 12118, 5119, 267, 607, 596, 1522, 798, 585, 513, 6152, 267, 596, 1152, 1689, 519, 3977, 4493, 281, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 348, 815, 1496, 307, 316, 18155, 24837, 595, 23685, 24837, 645, 20467, 2330, 2060, 713, 5119, 267, 519, 2164, 540, 7311, 3230, 307, 2330, 547, 513, 6152, 616, 6829, 3448, 547, 519, 1007, 4493, 6695, 24837, 595, 18079, 855, 519, 11378, 547, 3230, 307, 2330, 1590, 1869, 581, 6829, 3448, 547, 519, 3312, 4493, 6695, 24837, 645, 21974, 769, 1931, 547, 1689, 519, 3403, 4493, 267, 596, 1590, 849, 1318, 2173, 738, 17586, 676, 606, 3617, 1689, 6361, 1532, 12118, 5119, 281, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 348, 1496, 315, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 645, 23685, 24837, 595, 348, 815, 1496, 307, 316, 18155, 24837, 595, 23685, 24837, 595, 9574, 2330, 610, 267, 538, 707, 10035, 267, 3230, 314, 303, 316, 18155, 24837, 595, 13375, 5535, 315, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 348, 1496, 303, 316, 18155, 24837, 645, 13375, 5535, 315, 24837, 595, 20467, 9681, 5194, 1259, 547, 1413, 693, 568, 568, 602, 596, 1616, 547, 3403, 543, 3132, 11282, 8913, 1255, 3448, 547, 519, 4493, 6695, 24837, 595, 18079, 855, 596, 4076, 1152, 3893, 513, 5119, 602, 22655, 543, 838, 1080, 856, 11282, 8913, 1255, 3448, 547, 6695, 24837, 645, 21974, 769, 1931, 547, 946, 713, 5119, 267, 596, 1101, 723, 547, 6460, 519, 3403, 689, 6695, 24837, 595, 2330, 547, 6695, 24837, 645, 18079, 1310, 799, 596, 666, 9062, 676, 519, 5119, 267, 543, 1287, 6460, 519, 1267, 689, 6695, 24837, 645, 2330, 547, 6695, 24837, 595, 29634, 307, 9506, 1631, 547, 707, 1383, 267, 1101, 540, 782, 267, 6695, 24837, 595, 2330, 568, 711, 513, 4493, 585, 6695, 4118, 2675, 337, 623, 318, 273, 2330, 281, 922, 3791, 3693, 568, 513, 8772, 24266, 9971, 267, 865, 3884, 1406, 1256, 606, 3693, 540, 519, 2230, 269, 594, 3580, 8263, 602, 596, 5921, 30967, 343, 266, 273, 8203, 273, 21974, 1284, 1287, 991, 547, 2953, 519, 5119, 602, 596, 17223, 585, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 6525, 269, 1411, 2408, 547, 723, 20335, 519, 1931, 540, 519, 10974, 6404, 909, 269, 3230, 307, 3287, 6661, 343, 266, 273, 18079, 855, 3230, 314, 343, 266, 273, 316, 18155, 24837, 645, 13157, 314, 273, 267, 272, 267, 271, 316, 317, 307, 18079, 711, 3230, 314, 272, 267, 273, 267, 271, 316, 317, 307, 18079, 543, 13974, 585, 3230, 307, 3287, 317, 273, 14638, 269, 1924, 267, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 348, 815, 1422, 8218, 21421, 348, 272, 261, 273, 261, 275, 11138, 271, 261, 272, 261, 275, 11138, 271, 261, 271, 261, 272, 17910, 21421, 20467, 2330, 1411, 4076, 1500, 519, 1482, 12161, 538, 519, 3791, 6241, 540, 519, 5119, 540, 3230, 307, 2330, 3448, 547, 6695, 24837, 595, 18079, 855, 972, 779, 606, 1256, 811, 4909, 5470, 972, 281, 519, 2164, 540, 7311, 3230, 307, 2330, 547, 519, 2609, 540, 6695, 24837, 595, 2330, 616, 6829, 3448, 547, 519, 3044, 4493, 267, 865, 596, 4076, 2965, 9112, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 595, 6525, 3079, 540, 3230, 314, 307, 316, 18155, 24837, 595, 23685, 24837, 595, 6525, 269, 634, 5119, 1587, 596, 1287, 12337, 568, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 348, 815, 1496, 307, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1422, 928, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 595, 20467, 9681, 2414, 3489, 3230, 314, 307, 316, 18155, 24837, 595, 23685, 24837, 595, 6525, 596, 3079, 723, 547, 2769, 519, 2592, 540, 519, 4493, 10321, 3448, 6695, 24837, 595, 18079, 610, 267, 2094, 596, 4076, 2907, 5249, 856, 1018, 789, 616, 538, 519, 3044, 4493, 267, 4019, 513, 1689, 540, 4493, 547, 519, 3977, 2427, 540, 519, 5119, 596, 17223, 269, 594, 4318, 1421, 3230, 314, 307, 316, 18155, 24837, 595, 23685, 24837, 595, 348, 815, 1496, 315, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 595, 348, 815, 1422, 8218, 21421, 348, 272, 261, 273, 261, 275, 11138, 271, 261, 272, 261, 275, 11138, 271, 261, 271, 261, 272, 17910, 21421, 9574, 2330, 799, 267, 711, 14626, 1211, 958, 267, 568, 3160, 547, 1312, 3230, 314, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 6525, 543, 3230, 24560, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 645, 23685, 24837, 595, 6525, 269, 5221, 540, 782, 713, 267, 621, 1058, 581, 2312, 1510, 2965, 7900, 519, 3818, 4124, 602, 585, 713, 1383, 3230, 314, 307, 316, 18155, 24837, 595, 23685, 24837, 595, 348, 815, 1496, 315, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 595, 23685, 24837, 645, 348, 1496, 307, 316, 18155, 24837, 645, 23685, 24837, 645, 348, 1496, 315, 28072, 4067, 346, 573, 348, 316, 18155, 24837, 645, 23685, 24837, 595, 6525, 607, 6045, 1657, 780, 31334, 5675, 3230, 307, 3287, 14638, 585, 519, 7004, 3884, 1406, 3833, 2953, 267, 2901, 281, 519, 2012, 540, 519, 7004, 568, 3230, 307, 2330, 282, 3230, 307, 3287, 14638, 568, 922, 1871, 950, 4294, 547, 3230, 343, 18079, 1775, 4318, 1421, 3230, 307, 3287, 14638, 568, 606, 3693, 540, 3230, 307, 2330, 685, 338, 2039, 12544, 6152, 780, 1892, 4595, 516, 3284, 3098, 585, 519, 3735, 3210, 269, 594, 267, 689, 519, 5377, 540, 1250, 2295, 267, 3112, 9684, 596, 2614, 585, 713, 2022, 269, 594, 11214, 4503, 621, 513, 3923, 3516, 855, 594, 993, 30140, 19914, 602, 594, 1336, 621, 1317, 621, 814, 23498, 909, 1919, 602, 594, 1185, 711, 1044, 2111, 547, 8207, 8885, 585, 267, 607, 596, 666, 1294, 267, 936, 513, 3923, 269, 594, 786, 1100, 8969, 3277, 547, 713, 9118, 2053, 2469, 883, 519, 2104, 269, 594, 1360, 1454, 5660, 519, 942, 16539, 883, 543, 1469, 540, 713, 2626, 281, 9684, 596, 256, 1290, 7757, 4455, 476, 2537, 267, 476, 1001, 280, 693, 476, 271, 281, 6021, 0, 258, 1775, 27494, 778, 2593, 692, 12709, 3436, 20587, 720, 18438, 3436, 29626, 18104, 18438, 20587, 720, 692, 258, 29626, 18104, 18438, 20587, 720, 692, 1012, 12937, 692, 763, 18802, 568, 7229, 4010, 607, 519, 2012, 19142, 909, 256, 7490, 814, 1152, 835, 1713, 4137, 267, 543, 476, 272, 269, 1822, 276, 814, 476, 276, 1713, 5515, 269, 634, 2600, 540, 5470, 568, 1336, 9836, 6959, 547, 513, 1871, 4130, 982, 519, 4351, 6959, 269, 3371, 568, 875, 547, 5173, 2600, 5470, 267, 609, 606, 1383, 9819, 269, 8110, 1417, 6744, 901, 4934, 4642, 543, 666, 1491, 593, 3665, 2418, 950, 7231, 609, 1970, 31891, 1239, 780, 763, 3448, 5470, 20475, 519, 834, 7758, 894, 2450, 540, 519, 1500, 547, 519, 834, 928, 11732, 1945, 2580, 2436, 621, 568, 7150, 610, 711, 269, 476, 274, 9492, 1070, 606, 6207, 5470, 540, 476, 272, 4699, 568, 1360, 1713, 269, 634, 3259, 540, 513, 3349, 538, 519, 8047, 568, 2119, 1586, 269, 901, 666, 2285, 513, 2318, 610, 2942, 5291, 2517, 4178, 269, 2958, 757, 2181, 335, 3820, 270, 2958, 757, 270, 4118, 270, 531, 5040, 270, 600, 274, 270, 4041, 337, 2928, 21867, 513, 20394, 780, 1012, 1215, 1677, 12433, 6399, 18104, 20587, 720, 18438, 692, 14188, 596, 23463, 1721, 4502, 1652, 607, 606, 5470, 2268, 585, 1970, 31891, 1239, 269, 13648, 625, 1118, 711, 581, 1031, 950, 2324, 609, 1970, 31891, 1239, 269, 9701, 519, 7608, 610, 3020, 6482, 10691, 581, 1634, 267, 519, 3448, 5470, 568, 568, 2693, 547, 1821, 5573, 689, 519, 7164, 267, 3020, 267, 1871, 540, 519, 7274, 780, 2005, 568, 519, 3017, 1063, 519, 1267, 540, 519, 621, 513, 6871, 5470, 269, 6201, 281, 18564, 602, 519, 6482, 8856, 4679, 538, 8167, 29626, 18104, 18438, 8212, 602, 814, 519, 5207, 1377, 540, 8856, 269, 1293, 513, 4642, 607, 513, 1713, 4137, 780, 12585, 713, 8382, 713, 1215, 1677, 12433, 6399, 18104, 20587, 720, 18438, 769, 9185, 11289, 596, 23463, 1721, 7447, 540, 938, 10462, 538, 1547, 2368, 2959, 540, 9836, 5470, 616, 281, 8210, 5558, 4179, 2517, 523, 25769, 3820, 28293, 270, 13614, 318, 11274, 5193, 30648, 1417, 720, 318, 19587, 1611, 7790, 8729, 267, 676, 9012, 342, 5942, 780, 7197, 1004, 616, 6899, 3206 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5522, 2880, 5682, 19004, 3487, 4083, 281, 5455, 19464, 568, 519, 1007, 27822, 454, 22416, 2088, 11829, 1889, 9807, 267, 4477, 2940, 774, 756, 1512, 9926, 267, 1284, 22320, 5682, 15306, 454, 4407, 9657, 568, 513, 1360, 2442, 543, 1134, 8153, 1935, 547, 519, 5068, 543, 3653, 1966, 538, 519, 1158, 267, 909, 19464, 568, 811, 540, 513, 6456, 17576, 609, 1390, 1761, 269, 901, 568, 519, 2034, 2376, 538, 513, 3126, 3823, 3435, 547, 519, 7372, 5068, 1966, 267, 543, 621, 786, 1445, 593, 909, 19464, 543, 1896, 540, 922, 3344, 269, 5455, 19464, 568, 513, 2259, 602, 3217, 3653, 267, 5631, 15229, 543, 14296, 267, 543, 21810, 621, 883, 1945, 540, 3152, 1871, 269, 901, 666, 581, 2944, 1472, 519, 2777, 607, 930, 1004, 946, 8900, 30660, 585, 22250, 610, 4859, 267, 855, 621, 568, 849, 4742, 811, 1455, 547, 1294, 909, 19464, 538, 2872, 269, 5455, 19464, 3091, 2189, 2640, 543, 811, 1004, 991, 547, 3605, 543, 8415, 621, 269, 10803, 1397, 602, 1152, 476, 2641, 260, 540, 4892, 909, 12860, 5370, 1369, 741, 2777, 267, 855, 713, 1297, 2115, 547, 2333, 13497, 538, 1931, 547, 5963, 3035, 519, 2640, 540, 909, 19464, 269, 4014, 909, 19464, 568, 2147, 547, 9657, 538, 602, 621, 1152, 17799, 519, 8429, 540, 15229, 543, 3653, 547, 513, 25087, 267, 621, 1869, 6763, 1657, 9657, 607, 621, 4679, 519, 1871, 540, 3653, 607, 10353, 547, 1821, 2728, 532, 621, 269, 5113, 958, 267, 13998, 543, 17215, 267, 909, 19464, 666, 723, 2101, 5222, 543, 1291, 547, 2318, 26201, 563, 2690, 519, 4541, 267, 909, 19464, 6585, 513, 11739, 342, 540, 2640, 269, 5455, 19464, 11081, 519, 2179, 540, 1007, 1570, 602, 2115, 547, 581, 3812, 267, 799, 267, 538, 2490, 267, 14014, 2200, 267, 971, 607, 8093, 10173, 267, 2011, 267, 543, 1216, 269, 5272, 1032, 1004, 8532, 811, 982, 476, 1911, 2929, 9748, 540, 5068, 267, 543, 602, 5068, 12958, 1063, 476, 1911, 2929, 9748, 543, 476, 4335, 2929, 9748, 540, 3327, 8166, 1282, 922, 2504, 1547, 28206, 2084, 519, 2179, 540, 20424, 5068, 1031, 543, 2810, 519, 946, 540, 909, 7094, 539, 5068, 267, 1223, 24390, 519, 2179, 540, 3327, 8166, 602, 3468, 338, 519, 2011, 1142, 1032, 269, 5455, 19464, 666, 581, 4294, 547, 1034, 5686, 540, 3653, 267, 865, 519, 2640, 666, 581, 2484, 8757, 543, 2479, 7721, 335, 21505, 269, 1280, 1383, 267, 556, 6748, 835, 9522, 540, 23987, 20955, 538, 12308, 2504, 666, 2061, 476, 736, 9748, 540, 3327, 8166, 689, 10024, 519, 5790, 1547, 5455, 19464, 666, 3970, 519, 2179, 540, 5068, 3812, 543, 267, 609, 8519, 2504, 267, 519, 2179, 540, 5068, 602, 13788, 519, 5836, 1131, 6175, 267, 607, 1134, 607, 267, 5732, 9494, 7286, 543, 1480, 1272, 563, 10000, 19464, 849, 7472, 1514, 2640, 607, 1004, 1451, 547, 1118, 1007, 543, 3407, 2472, 689, 2025, 2048, 340, 1088, 612, 685, 3688, 269, 3509, 2199, 29048, 960, 609, 2025, 12004, 10118, 547, 1711, 1007, 1148, 610, 1007, 3730, 2472, 269, 5455, 19464, 3947, 873, 519, 4316, 547, 6108, 2370, 593, 2326, 543, 2744, 513, 4023, 2179, 540, 7443, 267, 799, 7028, 2199, 11615, 543, 2950, 269, 3958, 267, 909, 19464, 5252, 919, 5876, 1369, 2950, 269, 14958, 532, 1007, 543, 6209, 3688, 689, 23987, 3688, 3217, 513, 1390, 4308, 540, 5876, 543, 1445, 267, 799, 814, 9583, 8519, 538, 2250, 1296, 1547, 589, 1353, 689, 2160, 540, 7147, 5062, 4467, 2125, 3427, 540, 6355, 18327, 602, 519, 4527, 540, 513, 16335, 267, 593, 610, 1055, 267, 729, 2614, 547, 6175, 5042, 2702, 540, 1004, 1547, 2060, 2238, 899, 909, 19464, 267, 1004, 723, 519, 4960, 547, 9101, 519, 12303, 5059, 1158, 543, 1711, 1945, 609, 741, 1378, 3946, 538, 606, 4674, 547, 9004, 3653, 563, 292, 1595, 1227, 267, 1082, 3255, 9114, 1369, 909, 19464, 269, 3502, 1152, 1281, 909, 19464, 1489, 1507, 4213, 267, 621, 849, 814, 1761, 1369, 519, 3677, 2504, 2872, 269, 634, 7887, 4324, 540, 909, 19464, 1369, 2872, 568, 519, 5786, 540, 5663, 3790, 1547, 4595, 519, 1570, 568, 3622, 2808, 2048, 342, 4292, 16224, 621, 568, 1454, 14949, 982, 20424, 2326, 267, 3850, 585, 8519, 3790, 543, 2799, 12434, 269, 898, 568, 6059, 602, 538, 519, 3864, 5742, 519, 2121, 2173, 1468, 1942, 9806, 1223, 1039, 909, 547, 607, 1454, 607, 1269, 30697, 5479, 269, 634, 2804, 2208, 2404, 609, 909, 19464, 1131, 849, 2333, 7694, 2429, 519, 1158, 1547, 5455, 19464, 568, 835, 540, 519, 1101, 3268, 4724, 513, 9764, 4346, 267, 799, 267, 952, 8045, 267, 666, 711, 1152, 948, 519, 4541, 855, 22919, 1269, 275, 269, 276, 18265, 24906, 538, 519, 1699, 5276, 4346, 1547, 6271, 4324, 2404, 609, 513, 9764, 4346, 543, 909, 19464, 568, 513, 3152, 3354, 540, 3761, 269, 1403, 12696, 946, 909, 7094, 539, 1570, 3079, 540, 20424, 2326, 267, 789, 666, 1995, 1312, 5812, 5057, 14499, 543, 513, 10930, 267, 811, 7123, 2707, 540, 2326, 4586, 1607, 1007, 1184, 568, 2484, 8757, 543, 568, 3850, 585, 5647, 538, 1082, 1114, 4610, 269, 634, 1101, 1383, 568, 519, 7802, 2872, 269, 5455, 19464, 7802, 4679, 538, 8560, 1169, 1554, 267, 855, 556, 6748, 12308, 267, 899, 519, 5354, 540, 4213, 798, 267, 568, 711, 519, 1152, 1259, 547, 946, 519, 1184, 269, 634, 2754, 5589, 1478, 4858, 2738, 3217, 5068, 1216, 14569, 543, 2981, 619, 873, 883, 695, 16630, 267, 824, 813, 28328, 543, 17960, 269, 3502, 1152, 568, 713, 9494, 519, 1604, 689, 4430, 5068, 14569, 267, 621, 2337, 1082, 6800, 4497, 538, 519, 2014, 547, 1711, 513, 1732, 1158, 607, 741, 2472, 616, 1360, 10097, 1547, 31035, 689, 519, 7802, 2872, 267, 909, 19464, 568, 9750, 883, 1896, 3344, 540, 4948, 1272, 267, 585, 3236, 6283, 269, 1234, 290, 19564, 645, 10105, 568, 4657, 519, 1259, 21891, 616, 3812, 676, 1210, 476, 3199, 260, 13381, 11956, 547, 1118, 519, 3490, 540, 741, 21891, 543, 519, 16295, 616, 1500, 689, 7791, 524, 1251, 269, 4256, 3804, 585, 519, 2104, 568, 547, 723, 513, 7406, 1500, 689, 476, 1911, 260, 13381, 11956, 1496, 1015, 267, 1556, 14073, 10000, 19464, 849, 568, 1818, 513, 1804, 1764, 1369, 519, 11647, 5823, 269, 634, 9205, 11647, 1376, 5346, 267, 962, 731, 12704, 267, 568, 585, 3101, 6619, 538, 519, 4264, 1158, 609, 11647, 1500, 689, 13381, 5836, 5068, 269, 4256, 2472, 616, 1500, 689, 476, 2004, 260, 13381, 5068, 6394, 689, 17822, 538, 519, 13372, 267, 543, 267, 693, 519, 1439, 540, 519, 530, 1157, 518, 11647, 779, 1272, 267, 621, 568, 2111, 547, 581, 13381, 1586, 269, 3502, 1152, 1281, 519, 2754, 1416, 827, 2324, 2509, 513, 9764, 4346, 267, 789, 849, 1416, 827, 2011, 2298, 607, 789, 19610, 609, 12539, 8750, 547, 15558, 476, 1911, 260, 540, 741, 3327, 11640, 1547, 16816, 13702, 568, 606, 824, 23492, 1369, 713, 2230, 269, 1358, 1118, 2688, 11647, 267, 15866, 513, 3099, 540, 7515, 267, 689, 476, 9262, 260, 13381, 543, 556, 13094, 676, 335, 20094, 689, 519, 2067, 6149, 6080, 1547, 2755, 14874, 3653, 267, 891, 3549, 4383, 547, 1711, 4190, 267, 3407, 543, 6198, 2472, 563, 763, 1297, 540, 4213, 538, 713, 2230, 21040, 4948, 267, 543, 24864, 519, 4346, 538, 519, 1318, 4287, 269, 898, 568, 6038, 538, 938, 3946, 547, 3343, 909, 19464, 4213, 267, 1312, 12725, 543, 1369, 519, 2518, 4346, 267, 547, 27464, 519, 1158, 2509, 513, 4264, 2104, 20483, 676, 513, 9764, 4346, 563, 295, 269, 570, 269, 14136, 267, 968, 258, 2767, 5455, 19464, 2223, 1261, 531, 519, 14136, 267, 476, 1015, 5025, 1440, 268, 1708, 271, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 515, 531, 1492, 17839, 564, 2593, 270, 1911, 268, 1811, 3562, 13463, 531, 7308, 13807, 534, 564, 270, 1575, 19464, 270, 258, 281, 349, 281, 3667, 284, 763, 2825, 2640, 540, 909, 19464, 32586, 2504, 540, 1007, 5370, 563, 306, 269, 570, 269, 589, 269, 715, 269, 674, 269, 744, 269, 681, 269, 667, 269, 12139, 267, 968, 763, 13017, 9737, 21311, 2422, 543, 8693, 7827, 281, 21193, 1399, 3766, 761, 1399, 2223, 5254, 3198, 293, 16704, 12139, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 16330, 5112, 332, 698, 3820, 270, 4186, 757, 270, 1492, 2000, 1074, 1532, 15277, 13807, 2880, 14025, 7146, 12641, 1493, 268, 4219, 5991, 527, 1399, 3766, 761, 1399, 269, 589, 269, 962, 326, 956, 5362, 267, 968, 763, 15474, 28620, 540, 5455, 19464, 2223, 623, 778, 600, 4821, 19137, 779, 18248, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 24108, 4877, 778, 600, 4821, 3820, 270, 1492, 25698, 27780, 9711, 6361, 5346, 19464, 563, 27880, 7788, 27880, 22823, 568, 513, 7913, 12474, 27752, 585, 6754, 338, 11676, 321, 880, 31203, 269, 8861, 568, 513, 5458, 12167, 585, 9657, 267, 968, 276, 11588, 540, 5455, 19464, 1299, 4208, 1411, 9701, 5516, 2223, 6754, 338, 11676, 321, 880, 31203, 267, 476, 2641, 5025, 1872, 268, 1001, 280, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 4877, 4954, 338, 745, 6277, 880, 2593, 28898, 270, 276, 1532, 523, 9026, 6361, 5346, 19464, 270, 563, 291, 269, 27213, 267, 968, 3674, 2659, 12829, 25439, 6008, 2718, 2659, 27065, 286, 2223, 10017, 4653, 267, 476, 2420, 11219, 592, 268, 1001, 278, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 269, 17595, 1108, 339, 3736, 2593, 270, 639, 270, 24108, 270, 4754, 2389, 32734, 22433, 268, 3286, 268, 1326, 17038, 784, 270, 1001, 3583, 278, 270, 529, 3917, 712, 23337, 691, 268, 7483, 3613, 324, 2718, 3917, 712, 2275, 805, 2032, 563, 31306, 9596, 267, 968, 763, 11588, 540, 5455, 19464, 2223, 8892, 9596, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 8807, 1956, 16753, 2593, 11305, 12973, 270, 1575, 19464, 16519, 268, 4219, 1922, 668, 25984, 268, 728, 553, 3562, 3613, 691, 1575, 1532, 5350, 525, 270, 271, 23995, 10134, 270, 6858, 277, 10019, 563, 10527, 8562, 983, 19004, 769, 5489, 841, 2223, 31130, 5839, 6635, 11037, 7690, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 269, 749, 523, 332, 659, 541, 11037, 11398, 566, 3820, 270, 30161, 648, 270, 1492, 2275, 1844, 983, 3887, 1595, 344, 2987, 1673, 564, 841, 258, 281, 349, 281, 3667, 284, 288, 9764, 4346, 568, 513, 32586, 4616, 540, 13113, 2200, 563, 13328, 8249, 4659, 269, 476, 1708, 271, 269, 476, 276, 18467, 1677, 1133, 6674, 634, 10025, 2986, 634, 8562, 983, 19004, 269, 1496, 15697, 316, 12232, 281, 4179, 2517, 4178, 9884, 686, 3820, 270, 24108, 270, 1001, 280, 270, 6860, 270, 276, 268, 1811, 10595, 6674, 17032, 2275, 1844, 983, 3887, 1595, 344, 258, 281, 349, 281, 3667, 284, 288, 260, 736, 260, 2420, 15132, 983, 260, 736, 324, 1595, 344, 260, 2420, 260, 736, 529, 260, 736, 821, 25722, 820, 260, 273, 291, 24708, 260, 273, 291, 342, 4292, 260, 736, 4621, 10179, 260, 736, 16347, 563, 2108, 292, 1723, 6363, 7037, 476, 1911, 260, 1234, 7094, 539, 2561, 28328, 2223, 5589, 1478, 4858, 2738, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 13440, 1478, 3630, 2738, 2593, 270, 563, 2108, 280, 16140, 12577, 3399, 5725, 4635, 1234, 7094, 539, 7698, 547, 8073, 15346, 15733, 543, 6435, 11162, 5455, 519, 14136, 2223, 7136, 20806, 3188, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 21346, 577, 718, 3188, 3820, 270, 14835, 22812, 19464, 3613, 691, 5725, 563, 2108, 516, 706, 576, 269, 19074, 269, 11878, 1421, 892, 634, 1234, 290, 19564, 7261, 3380, 269, 1496, 15697, 4940, 12232, 281, 5291, 2517, 4178, 269, 5090, 699, 12860, 2593, 270, 563, 290, 269, 16441, 267, 968, 300, 4883, 525, 7974, 2861, 23492, 962, 731, 12704, 2306, 4190, 9205, 11647, 689, 5836, 5068, 2443, 621, 814, 18448, 539, 811, 982, 476, 1911, 267, 1822, 6550, 547, 4266, 2223, 6355, 6184, 3187, 267, 476, 2190, 5025, 1872, 268, 1708, 271, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 12500, 5350, 1231, 3187, 2593, 270, 12881, 12704, 13050, 21830, 1922, 1248, 8132, 27492, 1613, 563, 2108, 10666, 2223, 5621, 13702, 269, 1496, 15697, 4940, 12232, 281, 4179, 2517, 4178, 269, 5306, 549, 4242, 584, 5865, 2593, 270, 12671, 268, 273, 269, 1496, 16966, 539, 281, 476, 1839, 5025, 1872, 268, 1708, 271, 4940, 0, 29753, 513, 2208, 14820, 543, 6043, 568, 606, 6946, 543, 6213, 1184, 602, 3340, 513, 10347, 3666, 540, 6617, 267, 20741, 267, 543, 4161, 269, 10801, 938, 1053, 685, 1565, 2833, 267, 2436, 3068 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15630, 13448, 3916, 263, 3422, 279, 267, 476, 1001, 272, 264, 258, 7120, 2039, 540, 1535, 14289, 538, 1296, 2039, 454, 825, 4949, 15630, 318, 2643, 574, 263, 271, 267, 1911, 264, 258, 7120, 2039, 540, 586, 14289, 538, 2338, 2039, 454, 825, 4949, 15630, 21234, 263, 980, 6831, 1846, 314, 4944, 8079, 1948, 27583, 540, 1169, 9587, 689, 1592, 22562, 825, 1948, 1873, 26677, 1055, 782, 519, 4164, 338, 689, 1367, 13602, 454, 825, 4949, 6745, 1157, 318, 1706, 4461, 6357, 18847, 6889, 4752, 2580, 1283, 6889, 4752, 2580, 2451, 6889, 4752, 2580, 1318, 6889, 4752, 5602, 8931, 825, 1948, 3553, 14005, 585, 1899, 1257, 1128, 539, 540, 10828, 610, 10297, 454, 825, 952, 838, 2652, 476, 271, 281, 258, 14140, 4729, 689, 1592, 267, 799, 568, 1100, 476, 271, 454, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 9262, 267, 1412, 24464, 10807, 258, 6570, 540, 1257, 593, 1899, 676, 1535, 1299, 586, 7852, 454, 1038, 4949, 269, 3667, 263, 1220, 273, 267, 476, 279, 267, 1412, 18131, 10807, 258, 6570, 540, 1257, 593, 1899, 676, 1535, 1299, 586, 7852, 454, 825, 8640, 838, 2652, 476, 276, 281, 1948, 18431, 4729, 689, 1592, 267, 799, 568, 1100, 476, 276, 454, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 7830, 267, 1412, 24464, 10807, 258, 6570, 540, 1257, 593, 1899, 676, 1535, 1299, 586, 7852, 454, 1038, 4949, 269, 3667, 263, 1220, 272, 267, 476, 3374, 267, 1412, 18131, 10807, 258, 6570, 540, 1257, 593, 1899, 676, 1535, 1299, 586, 7852, 28329, 10823, 20481, 3890, 1948, 3333, 12976, 519, 4729, 7531, 258, 12693, 24951, 2066, 782, 4110, 6688, 454, 258, 5221, 972, 616, 11157, 8696, 5232, 602, 649, 991, 547, 5352, 1899, 12125, 585, 267, 649, 3513, 946, 513, 1016, 7120, 7470, 11768, 540, 476, 277, 9343, 676, 476, 274, 9587, 269, 1284, 666, 1287, 1895, 519, 5232, 883, 13241, 267, 12666, 6575, 267, 543, 824, 267, 538, 519, 1739, 1259, 1384, 258, 769, 314, 1015, 28660, 454, 980, 6831, 1846, 815, 18358, 20329, 1108, 3299, 1412, 289, 5735, 3299, 1412, 13043, 543, 10803, 3299, 1412, 16498, 7070, 3299, 1412, 20663, 3163, 3299, 1412, 25811, 1359, 23300, 12221, 318, 11301, 6831, 1846, 815, 18358, 20288, 793, 19932, 3299, 1412, 12626, 3299, 1412, 15973, 10716, 543, 4750, 1143, 3299, 1412, 9209, 543, 13437, 3299, 1412, 12892, 7070, 543, 3778, 23300, 1278, 6831, 1846, 815, 18358, 10890, 5584, 687, 3299, 1412, 14276, 10029, 3299, 1412, 19733, 3299, 1412, 13070, 3472, 675, 12887, 19968, 3299, 1412, 19425, 3538, 675, 262, 6540, 454, 258, 13071, 1711, 513, 6516, 585, 1657, 6688, 281, 8528, 258, 769, 314, 1556, 28660, 454, 258, 2870, 513, 4137, 10822, 267, 810, 649, 666, 1039, 1022, 1100, 540, 13602, 454, 258, 8431, 21653, 568, 8700, 543, 4463, 540, 519, 4137, 538, 6279, 454, 14808, 815, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1626, 267, 476, 736, 11723, 1012, 2698, 1297, 540, 8638, 616, 476, 274, 454, 1012, 2637, 4733, 1101, 6241, 540, 1899, 12125, 269, 13241, 5232, 332, 799, 568, 1412, 271, 262, 1299, 1412, 1240, 262, 3688, 593, 1592, 563, 1721, 838, 538, 2039, 263, 271, 267, 1240, 267, 274, 2567, 258, 17730, 513, 5311, 270, 9792, 540, 13602, 3613, 691, 270, 7224, 540, 1592, 781, 6221, 267, 17380, 270, 7224, 540, 1592, 781, 6221, 267, 25074, 270, 7224, 540, 9587, 454, 825, 3032, 16229, 815, 703, 4433, 335, 270, 274, 994, 825, 4949, 815, 4453, 14491, 5334, 889, 7120, 263, 277, 267, 274, 267, 4944, 266, 272, 264, 1948, 274, 13602, 270, 3712, 8435, 7299, 344, 538, 476, 274, 1899, 270, 4900, 454, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 2021, 5091, 1122, 4181, 314, 980, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 5091, 1046, 318, 19990, 267, 6003, 8782, 18131, 3299, 1899, 12296, 284, 274, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 476, 1911, 2914, 1580, 5091, 1122, 4181, 314, 980, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 318, 528, 1052, 267, 6003, 8782, 24464, 3299, 1899, 12296, 284, 274, 994, 825, 585, 1883, 267, 4944, 710, 538, 4949, 4732, 335, 1149, 29096, 10031, 1038, 12636, 15630, 318, 6665, 1043, 263, 16178, 994, 825, 4949, 15630, 13448, 3916, 263, 3422, 279, 267, 476, 1001, 272, 994, 825, 4949, 15630, 318, 2643, 574, 263, 271, 267, 1911, 994, 825, 4949, 15630, 21234, 263, 980, 6831, 1846, 314, 13906, 16229, 7481, 825, 4949, 6745, 1157, 318, 1706, 4461, 6357, 18847, 6889, 4752, 2580, 1283, 6889, 4752, 2580, 2451, 6889, 4752, 2580, 1318, 6889, 4752, 5602, 8931, 825, 952, 3032, 16229, 2652, 476, 271, 912, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 5952, 267, 1412, 18131, 5073, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 1015, 267, 1412, 24464, 5073, 825, 8640, 3032, 16229, 2652, 476, 276, 912, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 9262, 267, 1412, 24464, 5073, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 278, 267, 1412, 18131, 17210, 1012, 2637, 4733, 2034, 6241, 540, 1899, 12125, 269, 27565, 6575, 5232, 563, 1721, 838, 538, 2039, 263, 272, 267, 1626, 267, 274, 2567, 258, 17730, 513, 5311, 270, 9792, 540, 13602, 268, 1376, 267, 17380, 267, 25074, 454, 825, 3032, 16229, 815, 703, 9230, 4944, 268, 272, 8358, 274, 994, 825, 4949, 815, 4453, 14491, 5334, 889, 7120, 263, 277, 267, 274, 267, 4944, 266, 272, 264, 1948, 274, 13602, 270, 3712, 8435, 7299, 344, 538, 476, 274, 1899, 270, 4900, 454, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 2021, 5091, 1122, 4181, 314, 12221, 318, 11301, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 5091, 1046, 318, 19990, 267, 6003, 8782, 18131, 3299, 1899, 12296, 284, 274, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 476, 1911, 2914, 1580, 5091, 1122, 4181, 314, 12221, 318, 11301, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 318, 528, 1052, 267, 6003, 8782, 24464, 3299, 1899, 12296, 284, 274, 994, 825, 585, 1883, 267, 4944, 710, 538, 4949, 4732, 335, 1149, 29096, 10031, 1038, 12636, 15630, 318, 6665, 1043, 263, 16178, 994, 825, 4949, 15630, 13448, 3916, 263, 3422, 279, 267, 476, 1001, 272, 994, 825, 4949, 15630, 318, 2643, 574, 263, 271, 267, 1911, 994, 825, 4949, 15630, 21234, 10857, 756, 318, 11301, 6831, 1846, 314, 13906, 16229, 7481, 825, 4949, 6745, 1157, 318, 1706, 4461, 6357, 18847, 6889, 4752, 2580, 1283, 6889, 4752, 2580, 2451, 6889, 4752, 2580, 1318, 6889, 4752, 5602, 8931, 825, 952, 3032, 16229, 2652, 476, 271, 912, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 4281, 267, 1412, 18131, 5073, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 1240, 267, 1412, 24464, 17210, 1012, 2637, 4733, 3791, 6241, 540, 1899, 12125, 269, 4033, 5232, 563, 1721, 838, 538, 2039, 263, 273, 267, 736, 267, 274, 2567, 258, 17730, 513, 5311, 270, 9792, 540, 13602, 268, 1376, 267, 17380, 267, 25074, 454, 825, 3032, 16229, 815, 703, 9230, 4944, 268, 273, 8358, 274, 994, 825, 4949, 815, 4453, 14491, 5334, 889, 7120, 263, 277, 267, 274, 267, 4944, 266, 272, 264, 1948, 274, 13602, 270, 3712, 8435, 7299, 344, 538, 476, 274, 1899, 270, 4900, 454, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 2021, 5091, 1122, 4181, 314, 1278, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 5091, 1046, 318, 19990, 267, 6003, 8782, 18131, 3299, 1899, 12296, 284, 274, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 476, 1911, 2914, 1580, 5091, 1122, 4181, 314, 1278, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 318, 528, 1052, 267, 6003, 8782, 24464, 3299, 1899, 12296, 284, 274, 994, 825, 585, 1883, 267, 4944, 710, 538, 4949, 4732, 335, 1149, 29096, 10031, 1038, 12636, 15630, 318, 6665, 1043, 263, 16178, 994, 825, 4949, 15630, 13448, 3916, 263, 3422, 279, 267, 476, 1001, 272, 994, 825, 4949, 15630, 318, 2643, 574, 263, 271, 267, 1911, 994, 825, 4949, 15630, 21234, 263, 1278, 6831, 1846, 314, 13906, 16229, 7481, 825, 4949, 6745, 1157, 318, 1706, 4461, 6357, 18847, 6889, 4752, 2580, 1283, 6889, 4752, 2580, 2451, 6889, 4752, 2580, 1318, 6889, 4752, 5602, 8931, 825, 952, 3032, 16229, 2652, 476, 271, 912, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 3445, 267, 1412, 18131, 5073, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 276, 267, 1412, 24464, 5073, 825, 8640, 3032, 16229, 2652, 476, 276, 912, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 7830, 267, 1412, 24464, 5073, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 1789, 267, 1412, 18131, 5073, 13872, 10823, 20481, 30800, 258, 12693, 670, 4575, 1535, 14289, 10297, 454, 258, 3767, 267, 634, 1034, 7525, 3390, 602, 16853, 856, 568, 519, 10643, 540, 930, 1899, 12125, 20718, 609, 519, 1535, 14289, 10297, 585, 519, 1899, 5750, 1657, 621, 269, 1403, 649, 4894, 519, 10643, 585, 1142, 1899, 5750, 267, 519, 21951, 4465, 1405, 917, 1018, 4110, 1142, 1899, 5750, 4016, 547, 269, 2913, 781, 3079, 4894, 519, 1535, 14289, 10297, 585, 1169, 1899, 5750, 538, 513, 6241, 4849, 585, 519, 5377, 1034, 835, 780, 258, 769, 314, 1724, 28660, 454, 1012, 2598, 29058, 519, 1535, 14289, 10297, 585, 782, 1899, 12125, 4849, 519, 4420, 2174, 739, 1899, 12125, 538, 1142, 6241, 780, 14808, 815, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1626, 267, 476, 1626, 11723, 1012, 2637, 4733, 1101, 6241, 540, 1899, 12125, 269, 13241, 5232, 563, 1721, 838, 538, 2039, 263, 271, 267, 1240, 267, 274, 2187, 825, 3032, 16229, 815, 703, 4433, 335, 270, 274, 994, 825, 4949, 815, 4453, 14491, 5334, 889, 7120, 263, 277, 267, 274, 267, 4944, 266, 272, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 2021, 5091, 1122, 4181, 314, 980, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 5091, 1046, 318, 19990, 267, 6003, 8782, 18131, 3299, 1899, 12296, 284, 274, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 476, 1911, 2914, 1580, 5091, 1122, 4181, 314, 980, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 318, 528, 1052, 267, 6003, 8782, 24464, 3299, 1899, 12296, 284, 274, 994, 825, 585, 1883, 267, 4944, 710, 538, 4949, 4732, 335, 1149, 29096, 10031, 1038, 12636, 15630, 318, 6665, 1043, 263, 16178, 994, 825, 4949, 15630, 13448, 3916, 263, 3422, 279, 267, 476, 1001, 272, 994, 825, 4949, 15630, 318, 2643, 574, 263, 271, 267, 1911, 994, 825, 4949, 15630, 21234, 263, 980, 6831, 1846, 314, 13906, 16229, 7481, 825, 12361, 771, 29058, 519, 1535, 14289, 10297, 585, 782, 540, 519, 1899, 12125, 454, 825, 4949, 6745, 1157, 318, 1706, 4461, 6357, 18847, 6889, 4752, 2580, 1283, 6889, 4752, 2580, 2451, 6889, 4752, 2580, 1318, 6889, 4752, 2580, 6003, 321, 18847, 8782, 4752, 5073, 8931, 825, 952, 3032, 16229, 2652, 476, 271, 912, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 5952, 267, 1412, 18131, 5073, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 1015, 267, 1412, 24464, 5073, 825, 8640, 3032, 16229, 2652, 476, 276, 912, 1038, 4949, 269, 3667, 263, 1220, 276, 267, 476, 9262, 267, 1412, 24464, 5073, 1038, 4949, 269, 3667, 263, 1220, 274, 267, 476, 278, 267, 1412, 18131, 5073, 1038, 12361, 7175, 519, 1535, 14289, 10297, 585, 519, 4420, 2174, 739, 1899, 12125, 538, 1142, 6241, 454, 1038, 4949, 6745, 1157, 318, 1706, 4461, 10857, 8475, 321, 18847, 8782, 517, 17210, 1012, 2637, 4733, 2034, 6241, 540, 1899, 12125, 269, 27565, 6575, 5232, 563, 1721, 838, 538, 2039, 263, 272, 267, 1626, 267, 274, 2187, 825, 3032, 16229, 815, 703, 9230, 4944, 268, 272, 8358, 274, 994, 825, 4949, 815, 4453, 14491, 5334, 889, 7120, 263, 277, 267, 274, 267, 4944, 266, 272, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 2021, 5091, 1122, 4181, 314, 12221, 318, 11301, 6831, 1846, 314, 13906, 16229, 316, 3910, 524, 284, 322, 321, 5091, 1046, 318, 19990, 267, 6003, 8782, 18131, 3299, 1899, 12296, 284, 274, 994, 825, 4949, 19502, 26028, 1580, 5091, 1122, 4181, 9131, 17413, 28710, 476, 1911, 2914, 1580, 5091, 1122, 4181, 314, 12221, 318, 11301 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 26581, 1845, 10406, 563, 8505, 26127, 645, 3672, 272, 269, 1401, 1636, 6184, 18936, 7027, 273, 269, 4095, 4659, 540, 14579, 11780, 274, 269, 4095, 4659, 540, 13268, 1645, 275, 269, 1401, 1636, 8871, 10056, 6076, 15078, 267, 2155, 617, 640, 4425, 1841, 543, 12041, 885, 276, 269, 18966, 540, 4095, 1401, 1636, 5029, 31907, 277, 269, 4095, 7027, 540, 1488, 4226, 1674, 278, 269, 3127, 11780, 8871, 10056, 25944, 454, 14276, 30359, 7201, 339, 752, 902, 1892, 634, 1739, 9467, 4882, 16291, 14078, 616, 10818, 532, 896, 519, 11889, 1852, 540, 519, 14737, 3588, 540, 25642, 269, 328, 269, 634, 3557, 29665, 15278, 540, 3127, 543, 922, 11357, 338, 21355, 2456, 4512, 269, 634, 30200, 543, 5450, 1023, 29665, 15278, 540, 19328, 543, 922, 13564, 10706, 267, 642, 714, 1421, 631, 3821, 29665, 290, 2734, 566, 13839, 269, 634, 14546, 29665, 15278, 643, 269, 634, 1401, 1636, 15894, 2871, 5875, 2465, 15278, 454, 3849, 6665, 800, 10610, 1892, 6239, 27545, 7027, 593, 11780, 281, 634, 6239, 27545, 290, 1735, 4290, 593, 11780, 267, 9967, 540, 13222, 689, 18528, 5166, 14540, 543, 2043, 609, 1870, 9227, 543, 6791, 538, 519, 2361, 540, 4123, 543, 1260, 12692, 267, 18973, 6554, 593, 6927, 11341, 547, 2433, 328, 269, 1401, 1636, 543, 1104, 3609, 10872, 4512, 269, 20491, 540, 1104, 543, 13143, 4123, 8060, 13839, 269, 25944, 543, 1646, 540, 5010, 2533, 643, 269, 1401, 1636, 15894, 2871, 5875, 2465, 15278, 454, 15812, 7566, 26859, 1892, 589, 1297, 540, 3268, 723, 1044, 3144, 547, 4217, 519, 1163, 13024, 703, 515, 597, 6725, 4674, 269, 1892, 10369, 4886, 26859, 1892, 10369, 7457, 19541, 1892, 11780, 674, 4202, 543, 1401, 3031, 1431, 1892, 1401, 1636, 11485, 15928, 1892, 16010, 1892, 10866, 1852, 543, 3465, 1222, 618, 6184, 18936, 1892, 2382, 6627, 26859, 1892, 3127, 15952, 24054, 8750, 454, 14112, 12910, 20505, 281, 1892, 1677, 10654, 543, 9258, 519, 19394, 7678, 540, 18666, 282, 543, 1892, 1677, 1683, 3606, 1489, 547, 1346, 9922, 799, 723, 1044, 5734, 21354, 2421, 21748, 538, 519, 31603, 2622, 8160, 539, 1756, 2165, 8889, 20505, 2433, 1892, 1677, 3035, 606, 16316, 1401, 1636, 2208, 540, 476, 1428, 260, 609, 606, 16316, 1401, 1636, 27010, 1993, 2475, 259, 476, 1220, 5479, 676, 4728, 476, 1001, 272, 269, 1892, 1677, 3035, 606, 16316, 1401, 1636, 2208, 540, 1472, 476, 1839, 260, 676, 476, 1001, 275, 269, 1892, 1677, 5595, 3127, 779, 18666, 540, 5370, 543, 2533, 676, 476, 1001, 275, 11482, 784, 12910, 20638, 2433, 1892, 1677, 5595, 3127, 779, 2671, 538, 6820, 11780, 676, 476, 1708, 271, 269, 1691, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 454, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 13667, 538, 4937, 1892, 634, 3609, 6663, 693, 3384, 1410, 1636, 1761, 267, 5355, 1410, 1636, 2773, 267, 20993, 1150, 793, 4123, 543, 15980, 1998, 340, 762, 4914, 5385, 269, 1892, 674, 9143, 17648, 1390, 1542, 4545, 996, 529, 1032, 585, 1346, 9922, 799, 329, 984, 9271, 6010, 564, 2169, 3796, 267, 16463, 267, 27656, 2761, 338, 3092, 6155, 1005, 21748, 269, 1892, 589, 2887, 538, 18666, 814, 3366, 547, 519, 26918, 540, 1896, 1507, 268, 543, 4364, 1756, 8397, 13143, 15129, 28493, 267, 4611, 538, 1804, 8397, 684, 655, 7877, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 28080, 1115, 281, 1892, 1401, 1636, 27010, 2433, 1269, 476, 14596, 9291, 542, 585, 1001, 274, 268, 1691, 1892, 1401, 1636, 12618, 27010, 281, 476, 1839, 4939, 1169, 20204, 1892, 8422, 22225, 281, 328, 269, 26094, 538, 5989, 22366, 547, 18666, 269, 4512, 269, 22159, 538, 11834, 3790, 269, 13839, 269, 3038, 1707, 540, 2407, 32479, 540, 782, 785, 1311, 9204, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 31900, 24505, 16165, 4696, 9569, 7968, 290, 294, 30868, 272, 269, 744, 4565, 12720, 896, 661, 15425, 294, 6562, 699, 331, 1314, 539, 269, 273, 269, 1677, 5351, 6639, 909, 5552, 566, 1993, 13143, 5823, 267, 661, 15425, 294, 30868, 693, 313, 3266, 667, 14280, 814, 1044, 5189, 269, 274, 269, 1401, 1636, 17185, 593, 1104, 540, 4944, 4100, 267, 22285, 338, 3092, 269, 896, 661, 15425, 294, 9928, 22351, 814, 1044, 4389, 676, 476, 2004, 10065, 3725, 1922, 1460, 566, 540, 16316, 19105, 1401, 1636, 302, 4565, 12720, 281, 21982, 883, 2272, 519, 7771, 538, 1410, 7964, 267, 519, 9744, 540, 1234, 1922, 1460, 566, 540, 25486, 783, 19105, 1401, 1636, 744, 4565, 12720, 585, 6306, 7781, 2883, 1032, 538, 799, 972, 568, 1372, 743, 710, 538, 18666, 689, 519, 2197, 267, 814, 2041, 523, 6905, 14371, 3918, 2894, 11550, 23604, 4811, 1299, 570, 20168, 12471, 296, 8577, 6269, 677, 585, 5682, 2472, 543, 335, 20094, 689, 3345, 5101, 6905, 2529, 303, 4488, 24361, 674, 8016, 4785, 5442, 296, 2316, 288, 30888, 2464, 454, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 585, 674, 4916, 267, 674, 5960, 269, 1892, 476, 2918, 1007, 6990, 3773, 538, 713, 2675, 22351, 269, 630, 1626, 538, 5824, 3013, 267, 476, 1015, 514, 5607, 14114, 4117, 807, 264, 1892, 769, 1417, 1161, 896, 674, 5960, 6659, 689, 273, 269, 276, 4939, 547, 476, 274, 4939, 1892, 769, 1417, 633, 2139, 896, 10312, 29410, 30868, 630, 293, 4916, 264, 6659, 689, 272, 269, 1839, 260, 547, 476, 273, 10065, 1892, 23448, 2472, 3769, 538, 519, 2675, 2100, 540, 2640, 896, 674, 4916, 454, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 1892, 10369, 21912, 10312, 8605, 30868, 630, 7876, 293, 4916, 264, 9450, 676, 514, 2424, 540, 2472, 899, 31534, 267, 19135, 17234, 267, 12285, 335, 20094, 267, 4837, 2472, 2073, 2246, 334, 3334, 267, 5179, 6517, 267, 17919, 543, 1080, 2694, 269, 31756, 269, 1717, 2073, 2640, 547, 891, 2472, 786, 581, 3177, 267, 604, 18666, 616, 1500, 547, 476, 1724, 4857, 6990, 630, 2704, 3455, 807, 267, 292, 5118, 267, 15057, 267, 13280, 267, 3162, 4000, 267, 25157, 267, 8478, 267, 6792, 267, 308, 330, 9627, 267, 10476, 267, 25591, 267, 5245, 543, 1715, 10215, 1040, 1892, 589, 1455, 16866, 3498, 1106, 814, 1044, 5189, 547, 4019, 1721, 519, 2640, 896, 674, 4916, 267, 674, 5960, 267, 16066, 293, 4916, 454, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 585, 631, 6395, 1299, 631, 9590, 281, 1892, 14451, 14305, 585, 10369, 4886, 26859, 630, 300, 6395, 264, 543, 10369, 16966, 19541, 630, 7246, 296, 264, 814, 1044, 9307, 11053, 12495, 540, 1401, 1636, 28742, 630, 307, 7417, 264, 1892, 634, 1739, 4872, 723, 1044, 6444, 607, 10034, 540, 13143, 17284, 24867, 7417, 264, 1892, 7435, 545, 2761, 338, 2433, 26566, 760, 584, 267, 590, 12541, 26196, 543, 1323, 656, 333, 698, 1892, 2274, 1430, 15733, 2433, 20855, 20580, 267, 291, 1168, 553, 543, 2549, 10767, 1892, 29088, 12734, 15733, 281, 5689, 328, 4725, 611, 454, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 15761, 3290, 540, 20677, 12525, 1401, 18277, 547, 661, 5495, 1892, 20677, 12525, 608, 18277, 547, 476, 1911, 260, 661, 5495, 338, 4559, 896, 8791, 476, 1015, 289, 543, 1015, 288, 540, 20677, 12525, 2920, 267, 814, 1044, 2907, 6905, 585, 519, 2883, 20204, 476, 1001, 271, 268, 1556, 538, 519, 20907, 476, 1220, 280, 268, 1015, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 7788, 8784, 906, 1280, 3057, 1149, 10725, 2433, 1892, 30656, 23614, 539, 689, 10852, 5199, 540, 3328, 661, 302, 896, 7968, 290, 294, 30868, 630, 531, 784, 609, 476, 278, 4167, 832, 264, 2705, 674, 5109, 307, 3863, 6840, 267, 16996, 267, 9635, 543, 1866, 25630, 3688, 4927, 711, 581, 4847, 1721, 713, 608, 18277, 269, 1892, 16952, 8112, 896, 307, 13759, 9578, 30868, 630, 307, 4916, 264, 1315, 291, 14280, 5131, 25890, 540, 22209, 1856, 618, 630, 5263, 4753, 264, 30868, 585, 1492, 7286, 5823, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 585, 717, 2114, 1299, 297, 1168, 749, 2044, 30359, 281, 1892, 667, 14280, 8571, 3724, 568, 4847, 593, 20112, 4035, 749, 2044, 18666, 3159, 23018, 1125, 10279, 11841, 269, 1892, 4643, 547, 3715, 834, 291, 3554, 1180, 289, 6847, 630, 338, 264, 609, 606, 2832, 547, 1118, 19328, 543, 4139, 29665, 29878, 9307, 269, 1892, 4985, 540, 513, 1007, 9744, 547, 9994, 1104, 593, 931, 9892, 321, 12118, 540, 2759, 1299, 25509, 19987, 1721, 519, 3483, 540, 21249, 11305, 1068, 2305, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 585, 3397, 549, 1401, 7964, 281, 1892, 4985, 540, 513, 2582, 6885, 17882, 547, 7520, 13143, 540, 704, 27720, 6694, 3132, 5976, 606, 2832, 547, 2569, 11834, 663, 7829, 1942, 269, 1892, 901, 1062, 786, 4125, 5137, 1993, 3818, 1922, 23341, 12162, 531, 698, 4293, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 7788, 8784, 906, 585, 2274, 1430, 2750, 7964, 2433, 1892, 2201, 519, 8569, 540, 476, 2004, 4939, 1952, 997, 762, 13143, 10279, 267, 2274, 1430, 572, 2758, 4927, 581, 4847, 556, 7721, 1636, 1993, 5667, 1245, 16865, 6151, 554, 1938, 663, 32675, 543, 10859, 8737, 548, 1430, 689, 1857, 27433, 16292, 17346, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 7788, 8784, 906, 585, 21281, 1401, 7964, 281, 1892, 634, 4540, 29358, 1871, 611, 1288, 896, 4434, 10461, 1436, 10325, 585, 13143, 1993, 7401, 568, 476, 1911, 4939, 269, 898, 814, 1044, 516, 706, 1027, 689, 519, 4540, 476, 1911, 260, 1729, 476, 2004, 10065, 1892, 667, 14011, 630, 291, 558, 4382, 20579, 858, 9351, 264, 2892, 601, 574, 527, 540, 8216, 7401, 676, 661, 5495, 4559, 27463, 1078, 689, 476, 1789, 260, 547, 476, 2004, 18336, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 1892, 7788, 8784, 906, 585, 1912, 12609, 2750, 7964, 2433, 1892, 1401, 1636, 744, 4565, 12720, 11270, 585, 611, 9330, 2278, 3074, 9783, 27463, 1078, 689, 4540, 476, 277, 3923, 560, 334, 476, 3607, 3275, 269, 1892, 1912, 12609, 5823, 3769, 896, 7876, 293, 4916, 585, 2477, 538, 4000, 543, 31142, 3013, 1299, 930, 2477, 514, 7909, 807, 543, 10787, 5101, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 9928, 22351, 585, 1401, 1636, 18112, 5034, 19590, 281, 1892, 661, 5495, 338, 723, 1044, 4847, 547, 6133, 2472, 14475, 676, 873, 538, 291, 14011, 630, 291, 558, 4382, 20579, 858, 9351, 264, 15399, 334, 513, 3970, 540, 476, 3445, 260, 3079, 540, 4540, 4037, 9077, 1510, 4657, 519, 7355, 540, 2048, 13678, 1791, 5370, 8730, 1369, 519, 1478, 718, 1303, 1856, 618, 540, 476, 2004, 260, 585, 667, 14011, 9042, 269, 630, 1607, 1797, 602, 3079, 540, 4037, 260, 891, 4559, 666, 6133, 909, 547, 476, 3445, 4939, 540, 741, 2472, 538, 519, 3256, 4382, 6990, 264, 1892, 661, 5495, 4847, 547, 23144, 8737, 5370, 585, 28051, 2059, 609, 26132, 14475, 5370, 267, 1641, 547, 1978, 28863, 269, 1892, 22362, 540, 3625, 1974, 676, 835, 1032, 585, 9819, 540, 4880, 14579, 2750, 4219, 15980, 540, 661, 5495, 338, 6854, 896, 7156, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 25486, 8784, 906, 585, 10025, 1520, 4765, 19007, 630, 309, 4456, 264, 1892, 1677, 5000, 10025, 1520, 4765, 13583, 3293, 13143, 267, 513, 5934, 476, 1428, 260, 1871, 611, 1288, 593, 16865, 11378, 896, 21992, 8191, 1436, 30868, 269, 25486, 8784, 906, 585, 5741, 1401, 7964, 281, 1892, 5741, 1401, 7964, 543, 513, 1804, 1297, 540, 14475, 5370, 4988, 896, 293, 4916, 543, 1892, 16066, 293, 4916, 563, 18853, 8656, 24912, 11123, 292, 22218, 13138, 32767, 623, 5357, 2975, 312, 476, 1220, 280, 268, 1691, 24965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1820, 263, 24987, 994, 825, 2132, 2626, 7531, 258, 570, 7495, 302, 281, 5153, 476, 275, 281, 9337, 547, 946, 1297, 540, 6967, 7058, 525, 454, 3698, 798, 16062, 3994, 318, 24987, 263, 24987, 267, 1297, 318, 29674, 525, 2187, 825, 1820, 3488, 310, 3994, 256, 7089, 540, 7058, 525, 2451, 281, 1412, 266, 1598, 28840, 318, 29674, 525, 4917, 825, 2721, 6958, 2682, 28840, 318, 29674, 525, 9239, 258, 570, 7495, 302, 281, 5153, 476, 276, 281, 2721, 13793, 2006, 6529, 4137, 267, 1759, 593, 1297, 540, 7058, 525, 6967, 454, 3698, 2721, 6958, 2682, 28840, 318, 29674, 525, 2187, 825, 952, 1297, 318, 29674, 525, 2652, 476, 275, 912, 1038, 1820, 3488, 270, 955, 315, 333, 24689, 333, 24689, 333, 24689, 333, 24689, 333, 1693, 13090, 10807, 11434, 454, 825, 952, 1297, 318, 29674, 525, 2652, 476, 274, 912, 1038, 1820, 3488, 270, 955, 315, 333, 347, 567, 476, 271, 14826, 24689, 333, 24689, 333, 24689, 333, 1693, 13090, 5073, 825, 952, 1297, 318, 29674, 525, 2652, 476, 273, 912, 1038, 1820, 3488, 270, 955, 315, 333, 347, 567, 476, 271, 14826, 347, 476, 1315, 347, 11138, 315, 333, 24689, 333, 24689, 333, 1693, 13090, 5073, 825, 952, 1297, 318, 29674, 525, 2652, 476, 272, 912, 1038, 1820, 3488, 270, 955, 315, 333, 347, 567, 476, 271, 14826, 347, 476, 1315, 347, 11138, 315, 333, 347, 567, 1923, 315, 333, 24689, 333, 1693, 13090, 5073, 825, 952, 1297, 318, 29674, 525, 2652, 476, 271, 912, 1038, 1820, 3488, 270, 955, 315, 333, 347, 567, 476, 271, 14826, 347, 476, 1315, 347, 11138, 315, 333, 347, 567, 1923, 315, 333, 347, 476, 1315, 8607, 315, 333, 1693, 13090, 17210, 258, 570, 7495, 302, 281, 5153, 476, 273, 910, 9337, 547, 8520, 936, 3478, 3403, 543, 10992, 2394, 2898, 2262, 31665, 454, 258, 570, 7495, 302, 281, 5153, 476, 274, 910, 9337, 8520, 547, 14827, 3014, 952, 3593, 2010, 2387, 1410, 527, 319, 610, 2387, 10181, 319, 454, 258, 570, 7495, 302, 281, 5153, 476, 275, 910, 1832, 3950, 540, 1297, 540, 6967, 7058, 525, 454, 3698, 2196, 14682, 877, 318, 31467, 27182, 267, 2626, 2187, 825, 2518, 7058, 525, 454, 825, 1820, 2891, 10817, 612, 519, 2262, 281, 834, 266, 24987, 994, 825, 1247, 2262, 11203, 2626, 912, 1038, 7058, 815, 1205, 318, 12528, 17750, 4590, 1038, 952, 7058, 538, 18358, 1410, 527, 3299, 1412, 10938, 11172, 912, 2018, 1820, 3488, 3528, 324, 256, 5073, 2018, 2736, 454, 1038, 8640, 568, 8548, 1170, 532, 318, 10420, 27182, 267, 2626, 267, 7058, 2187, 2018, 2626, 815, 798, 6831, 8091, 318, 24987, 27182, 267, 2626, 267, 7058, 994, 1038, 3116, 912, 2018, 7058, 525, 20699, 476, 272, 454, 2018, 798, 16062, 3994, 318, 24987, 263, 24987, 267, 7058, 525, 994, 1038, 952, 7058, 525, 2652, 476, 271, 912, 2018, 1820, 3488, 28989, 267, 596, 616, 856, 540, 7058, 525, 269, 634, 2262, 729, 281, 1412, 1341, 2262, 994, 2018, 2736, 692, 258, 570, 7495, 302, 281, 5153, 476, 277, 910, 9337, 547, 1205, 1913, 18316, 547, 946, 689, 4971, 1467, 4661, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1913, 18316, 815, 2307, 18316, 12173, 4590, 825, 1913, 815, 1224, 18316, 263, 6919, 18316, 994, 825, 5697, 29999, 815, 2824, 318, 12690, 29999, 263, 6919, 994, 825, 1699, 318, 24987, 815, 4351, 6958, 650, 29999, 263, 572, 21124, 29999, 2020, 825, 2196, 14682, 877, 318, 31467, 263, 572, 21124, 29999, 267, 1699, 318, 24987, 2020, 0, 18411, 258, 12726, 3009, 547, 1685, 594, 23860, 1384, 4067, 815, 3403, 3890, 4449, 476, 1948, 7335, 3403, 689, 31969, 2562, 454, 2745, 3488, 17098, 267, 4939, 338, 9538, 4939, 2012, 264, 1363, 1948, 5675, 3977, 547, 31969, 27345, 692, 258, 2782, 940, 281, 24614, 13311, 610, 2192, 268, 8971, 1540, 1239, 547, 3977, 786, 2014, 519, 1449, 2665, 547, 3111, 454, 18257, 7531, 3698, 7369, 16325, 2187, 825, 952, 1003, 2652, 476, 271, 912, 1038, 2132, 476, 272, 454, 825, 2132, 476, 271, 7531, 258, 3503, 707, 3009, 1934, 454, 21653, 815, 703, 9272, 15405, 27219, 815, 1496, 842, 9272, 28829, 585, 1775, 538, 2039, 4433, 1125, 264, 6540, 1721, 1775, 538, 2039, 263, 272, 267, 2450, 266, 272, 17107, 825, 1064, 815, 1775, 692, 825, 1247, 1064, 27045, 21653, 1384, 1038, 24563, 314, 1842, 268, 272, 316, 815, 7369, 5560, 321, 314, 1842, 268, 272, 20285, 1038, 1064, 6834, 1775, 692, 825, 1820, 5560, 321, 2020, 14310, 815, 476, 271, 692, 1721, 1775, 538, 24563, 912, 825, 952, 1775, 2652, 476, 272, 912, 1038, 1267, 6834, 476, 272, 692, 2745, 31114, 2020, 7531, 0, 12163, 2791, 2811, 2016, 606, 8870, 715, 269, 3503, 513, 1982, 547, 5173, 519, 2040, 540, 782, 519, 9704, 540, 715, 780, 19152, 281, 634, 1101, 1899, 3568, 606, 8870, 570, 267, 2698, 1297, 540, 1449, 322, 1162, 563, 11434, 3973, 1246, 570, 3515, 267, 1142, 1899, 3568, 606, 8870, 715, 780, 20479, 281, 12433, 519, 2040, 540, 9704, 540, 715, 780, 20701, 454, 3698, 2040, 15058, 5091, 580, 1080, 28840, 2187, 825, 2040, 5091, 580, 1080, 815, 476, 271, 454, 825, 1247, 1297, 3436, 476, 271, 912, 1038, 2040, 5091, 580, 1080, 6834, 1297, 4939, 476, 1015, 454, 1038, 1297, 20699, 1297, 260, 1015, 454, 1038, 1297, 1315, 284, 476, 1015, 692, 825, 2132, 703, 4433, 636, 5091, 580, 1080, 9239, 307, 815, 703, 9272, 15405, 331, 815, 11713, 1721, 1775, 538, 2039, 24867, 2187, 825, 952, 476, 272, 10922, 570, 10922, 476, 1911, 271, 912, 1038, 1297, 815, 703, 9272, 15405, 1038, 952, 476, 272, 10922, 1297, 10922, 476, 1911, 1822, 271, 912, 2018, 561, 6910, 28840, 2020, 1721, 1775, 538, 561, 912, 825, 1820, 4433, 636, 15058, 5091, 580, 1080, 9217, 11723, 7531, 0, 339, 815, 703, 9272, 15405, 27219, 815, 11713, 1721, 1775, 538, 2039, 6025, 2187, 825, 24563, 6910, 17301, 9272, 28829, 9239, 1721, 562, 538, 24563, 912, 825, 952, 562, 2999, 476, 1015, 912, 1038, 1820, 3488, 1432, 606, 1073, 539, 1304, 22700, 596, 616, 256, 5073, 825, 3116, 912, 1038, 1820, 19304, 8987, 272, 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 ]
[ 323, 14772, 616, 1373, 1031, 538, 519, 9533, 267, 543, 519, 1101, 942, 538, 519, 13323, 563, 268, 589, 1007, 1353, 3366, 676, 3173, 693, 519, 2160, 540, 6239, 8419, 1336, 602, 3592, 3368, 540, 519, 4719, 13592, 1336, 5063, 538, 8419, 20562, 1667, 12090, 689, 7147, 533, 30864, 269, 634, 533, 30864, 941, 5189, 883, 8419, 538, 519, 476, 1960, 271, 338, 607, 851, 540, 513, 968, 2102, 2045, 15063, 892, 547, 4688, 8419, 20562, 1667, 689, 14486, 269, 2755, 8419, 20562, 615, 5095, 16626, 693, 519, 942, 267, 3744, 2161, 519, 1699, 5095, 991, 547, 581, 5702, 16913, 1058, 1022, 540, 519, 4719, 13592, 1459, 2933, 9308, 563, 268, 2859, 982, 476, 8517, 1004, 3460, 539, 998, 519, 17451, 6921, 3547, 4505, 713, 3923, 538, 3406, 540, 519, 12362, 8738, 332, 3150, 9226, 1282, 519, 3018, 14075, 5993, 8419, 5124, 7420, 269, 2755, 891, 21962, 2356, 1265, 519, 9649, 15315, 2059, 519, 4155, 610, 593, 682, 557, 525, 267, 3744, 609, 519, 20271, 3599, 540, 25763, 8419, 723, 513, 5728, 14049, 547, 1291, 873, 547, 533, 2814, 976, 4514, 538, 519, 19069, 281, 5256, 533, 2814, 976, 269, 4438, 20282, 4005, 267, 5256, 533, 2814, 976, 1246, 519, 20416, 540, 513, 4775, 779, 32176, 668, 2158, 269, 634, 20271, 3599, 4867, 814, 476, 2412, 28562, 968, 2675, 719, 892, 9038, 547, 948, 1291, 873, 547, 8951, 543, 741, 20097, 269, 2423, 17067, 713, 4832, 267, 513, 1085, 719, 5256, 3366, 547, 519, 7001, 540, 519, 3389, 5006, 8738, 332, 3150, 9226, 2479, 9676, 538, 8419, 269, 645, 3754, 1934, 676, 519, 16678, 4620, 4123, 267, 8738, 332, 3150, 533, 2814, 976, 10352, 593, 13155, 5065, 2249, 563, 268, 2991, 519, 11162, 4826, 2920, 540, 476, 3192, 273, 729, 5293, 267, 4966, 2161, 570, 2086, 320, 7345, 2968, 513, 6305, 1383, 540, 922, 1967, 269, 1809, 2221, 267, 519, 19773, 568, 1454, 811, 6926, 752, 269, 1530, 698, 14993, 568, 538, 7771, 267, 812, 622, 525, 616, 12955, 538, 2594, 2338, 267, 543, 3473, 531, 18742, 723, 3366, 547, 29083, 3165, 19754, 269, 769, 2487, 1296, 267, 570, 2086, 320, 7345, 814, 1044, 513, 6408, 540, 7920, 5533, 2621, 899, 2063, 1032, 779, 13451, 693, 519, 5449, 25882, 344, 8672, 19552, 9553, 799, 267, 2687, 547, 519, 2160, 540, 3162, 8419, 3173, 267, 3361, 513, 1032, 779, 4502, 540, 8770, 5533, 538, 1175, 936, 476, 1015, 2395, 269, 634, 15922, 849, 568, 12219, 676, 29083, 15420, 543, 14700, 602, 666, 4163, 5533, 543, 3653, 689, 23170, 13688, 883, 25825, 563, 268, 589, 2487, 1353, 689, 519, 2160, 540, 3162, 8419, 814, 1336, 602, 930, 8290, 666, 581, 6225, 547, 12748, 2371, 269, 9741, 568, 1634, 827, 891, 8290, 267, 855, 1007, 1382, 814, 3254, 602, 930, 8290, 666, 948, 2087, 10980, 10892, 269, 634, 1353, 849, 1336, 602, 2635, 12748, 2371, 666, 2270, 1082, 8290, 267, 543, 602, 8290, 666, 3468, 29068, 602, 2661, 593, 610, 2282, 873, 269, 634, 2319, 786, 3136, 741, 1382, 7064, 547, 513, 1007, 2817, 3163, 7690, 9886, 563, 268, 634, 2160, 540, 8419, 4741, 585, 26066, 10298, 568, 24574, 1359, 609, 519, 1239, 12642, 3301, 2754, 267, 590, 3008, 4659, 267, 547, 1020, 513, 1357, 2861, 3760, 602, 786, 948, 3173, 2263, 267, 5659, 543, 14650, 1216, 2298, 1239, 6394, 538, 23770, 23320, 269, 634, 4126, 568, 602, 519, 3760, 786, 948, 1683, 1732, 5813, 883, 2500, 1216, 2298, 2359, 2553, 563, 268, 634, 5606, 3175, 22159, 2920, 267, 9896, 883, 1876, 4505, 713, 3923, 267, 2882, 1269, 3607, 280, 5479, 538, 7482, 585, 2916, 543, 1648, 5829, 3292, 267, 1519, 24307, 585, 3167, 6472, 543, 1753, 1648, 4398, 543, 3859, 1648, 3454, 17099, 269, 11330, 7859, 2161, 519, 3915, 568, 513, 1900, 538, 519, 1318, 4287, 585, 2916, 2962, 563, 268, 589, 1353, 5342, 676, 634, 3689, 9335, 7690, 1336, 602, 607, 519, 2916, 2112, 916, 267, 606, 3665, 3002, 12966, 568, 4397, 547, 3382, 513, 13664, 1858, 689, 7187, 17039, 543, 7147, 547, 13325, 267, 18518, 267, 543, 16855, 676, 476, 13078, 274, 269, 1323, 3665, 3002, 12966, 568, 3989, 607, 606, 1858, 538, 799, 519, 3002, 4994, 20489, 476, 10219, 5232, 18278, 585, 693, 2547, 835, 1554, 829, 1032, 269, 634, 1353, 849, 1336, 602, 24543, 5937, 1228, 6019, 786, 1294, 519, 8325, 652, 2333, 538, 3665, 3002, 2395, 540, 1022, 824, 772, 2529, 269, 10315, 936, 519, 1985, 476, 1789, 1296, 563, 268, 21470, 5518, 21919, 8403, 20831, 9307, 1282, 513, 3643, 547, 24543, 538, 2038, 4864, 602, 519, 6519, 5600, 568, 1818, 1269, 272, 5479, 538, 2146, 14828, 2139, 998, 519, 8490, 22990, 1304, 24486, 543, 18877, 1982, 547, 2232, 14700, 543, 3665, 3002, 3361, 676, 2916, 1689, 269, 7831, 1032, 267, 519, 2749, 540, 12722, 6807, 543, 519, 3162, 8419, 4826, 5004, 10588, 538, 24543, 5937, 1228, 6019, 4607, 7482, 998, 519, 1982, 563, 268, 589, 1382, 1505, 1031, 676, 3744, 547, 1353, 519, 1279, 3856, 5222, 540, 2916, 1689, 568, 4947, 896, 9880, 269, 12207, 609, 519, 2817, 26954, 25076, 8416, 630, 20911, 2177, 264, 616, 16089, 16247, 15279, 2378, 1663, 528, 728, 267, 835, 540, 519, 1034, 14984, 8511, 9362, 267, 883, 3084, 11614, 543, 7733, 547, 948, 2268, 875, 3533, 9362, 666, 1847, 689, 519, 1216, 883, 519, 2011, 269, 12824, 2161, 7893, 713, 568, 1271, 1317, 789, 24370, 1125, 602, 24654, 8933, 543, 12535, 1223, 581, 606, 1271, 2707, 540, 3327, 269, 12207, 609, 519, 1353, 267, 799, 568, 14102, 676, 519, 2817, 3163, 7690, 267, 2161, 519, 2825, 1764, 568, 8766, 1813, 547, 519, 1507, 2179, 1373, 5950, 269, 1717, 267, 17837, 540, 519, 2259, 2161, 602, 936, 519, 1576, 540, 519, 476, 1789, 4458, 1353, 267, 519, 2179, 540, 3154, 19501, 1131, 581, 519, 6697, 540, 8781, 811, 982, 513, 2929, 6550, 540, 5755, 269, 634, 22085, 293, 3081, 606, 6268, 568, 1631, 25093, 547, 3313, 2436, 943, 2084, 856, 519, 946, 540, 519, 3154, 1131, 1764, 519, 2298, 540, 519, 4681, 563, 268, 634, 8828, 12566, 27134, 267, 513, 16160, 11641, 602, 666, 15890, 782, 2249, 540, 12566, 4054, 267, 13514, 513, 2101, 3463, 547, 8419, 779, 29988, 12566, 3529, 2872, 269, 16989, 22404, 949, 8038, 909, 547, 1079, 5195, 547, 15890, 1007, 4054, 267, 543, 1102, 6479, 2127, 666, 2039, 909, 547, 1896, 8536, 14143, 269, 1879, 14129, 267, 519, 4054, 12520, 513, 1978, 24710, 602, 24643, 4775, 22404, 269, 634, 1655, 1259, 547, 2061, 23588, 568, 547, 1832, 12566, 4054, 2635, 609, 1697, 14450, 267, 22289, 267, 543, 5826, 547, 2327, 513, 2635, 3597, 1062, 269, 589, 4161, 666, 581, 602, 5230, 3937, 568, 811, 2693, 547, 11741, 519, 3037, 543, 2014, 3441, 547, 519, 5072, 269, 9282, 3114, 5574, 616, 2139, 267, 789, 616, 538, 611, 6665, 762, 593, 513, 1804, 8397, 3529, 3484, 1813, 547, 1312, 2825, 4145, 543, 3790, 563, 268, 12824, 689, 519, 2160, 540, 16127, 723, 1336, 602, 5176, 476, 2568, 260, 540, 1634, 13596, 602, 1118, 1004, 7210, 723, 1044, 28978, 676, 2799, 5210, 1813, 547, 2916, 1689, 269, 2368, 2081, 3676, 666, 581, 10299, 1331, 6360, 7297, 543, 18151, 17486, 269, 4340, 547, 22189, 4793, 345, 540, 519, 2160, 540, 16855, 5336, 611, 2581, 779, 20307, 4659, 519, 4466, 968, 3286, 7586, 5809, 519, 1883, 5048, 602, 519, 2916, 6433, 568, 513, 1480, 1072, 6433, 1848, 0, 268, 24332, 4826, 543, 519, 16972, 3557, 6554, 454, 27839, 20860, 4826, 814, 5063, 13684, 513, 834, 18404, 15844, 667, 1778, 720, 932, 1618, 257, 593, 476, 8182, 267, 1822, 6917, 3601, 4478, 24332, 269, 1548, 1082, 1004, 798, 711, 917, 568, 602, 713, 729, 6913, 676, 993, 2056, 519, 631, 11586, 310, 2920, 630, 852, 4735, 4705, 264, 547, 1331, 1804, 2127, 540, 6917, 15117, 538, 519, 4214, 540, 834, 18404, 15844, 257, 24332, 269, 19791, 811, 982, 476, 3583, 14790, 689, 24332, 14055, 941, 10294, 851, 540, 519, 1558, 24227, 563, 763, 5279, 9832, 689, 1269, 4343, 11985, 20733, 267, 543, 949, 581, 2799, 538, 1296, 547, 2097, 269, 3509, 3601, 945, 723, 1044, 9901, 786, 4309, 1100, 3028, 693, 782, 269, 24332, 4826, 814, 30630, 519, 5279, 607, 513, 834, 12850, 1811, 5279, 257, 18343, 602, 621, 568, 6322, 693, 4543, 519, 1604, 563, 15152, 519, 12708, 7896, 2155, 1707, 2920, 621, 568, 2965, 3989, 607, 513, 834, 18404, 15844, 667, 1778, 720, 932, 1618, 2668, 634, 24117, 585, 519, 3312, 791, 3789, 540, 513, 12775, 5279, 593, 23195, 3601, 630, 3118, 1394, 538, 519, 476, 4572, 271, 338, 910, 950, 519, 1152, 1434, 5757, 729, 513, 598, 920, 1540, 835, 264, 568, 602, 538, 3710, 5346, 2127, 2196, 11325, 568, 2799, 676, 27575, 7252, 630, 7945, 607, 585, 9897, 267, 3723, 12949, 338, 543, 5397, 1811, 1916, 2026, 513, 1267, 9253, 4011, 2317, 4826, 2488, 28368, 547, 4894, 713, 4430, 1216, 543, 26565, 540, 621, 6140, 547, 4262, 269, 901, 24117, 1281, 711, 960, 585, 6917, 2127, 267, 1141, 1454, 540, 519, 2196, 11325, 8928, 883, 23854, 269, 24332, 4826, 1287, 23619, 519, 1216, 6394, 538, 891, 23854, 269, 634, 2196, 11325, 1281, 711, 20818, 513, 1942, 593, 873, 910, 538, 1249, 789, 1118, 513, 7443, 689, 621, 563, 1607, 568, 711, 513, 5279, 585, 513, 3028, 910, 621, 568, 1776, 16972, 3557, 6554, 3454, 563, 5472, 519, 476, 8182, 267, 1822, 3959, 5411, 945, 723, 1044, 5734, 609, 713, 5279, 585, 519, 1101, 942, 713, 1032, 1058, 13889, 1631, 676, 19142, 519, 21936, 269, 19594, 538, 2247, 602, 972, 616, 15555, 2293, 602, 519, 2229, 949, 6133, 1055, 24332, 4826, 7221, 607, 851, 540, 519, 2677, 531, 1588, 4308, 910, 543, 713, 1131, 1631, 1331, 1082, 540, 938, 6917, 1216, 2081, 563, 763, 5279, 568, 849, 25412, 513, 1942, 593, 1082, 1004, 945, 616, 1216, 1582, 1606, 11211, 630, 773, 2713, 593, 1216, 789, 2445, 538, 1216, 13688, 264, 910, 538, 1931, 547, 13564, 1125, 1346, 538, 24332, 945, 616, 1216, 554, 9233, 269, 901, 568, 711, 827, 6940, 267, 4543, 519, 1604, 267, 610, 3246, 15314, 585, 1216, 22766, 19824, 269, 898, 568, 513, 3454, 563, 14294, 3767, 8627, 17547, 519, 16972, 6554, 3454, 10544, 910, 2161, 1100, 547, 519, 24332, 4826, 27062, 667, 1778, 720, 932, 1618, 1373, 7142, 593, 6917, 3959, 5411, 563, 2171, 519, 9207, 11220, 13889, 547, 519, 791, 3789, 540, 513, 23195, 667, 1778, 720, 932, 1618, 593, 1875, 31475, 15844, 3601, 563, 2171, 2307, 585, 519, 5279, 547, 581, 11658, 547, 1346, 3601, 3989, 607, 851, 540, 519, 1558, 24227, 540, 24332, 607, 3989, 538, 519, 631, 11586, 310, 8028, 339, 1991, 547, 5437, 476, 1220, 276, 267, 543, 607, 3989, 538, 24332, 476, 10711, 271, 543, 824, 4143, 4058, 6054, 607, 13890, 2630, 912, 763, 476, 4029, 23195, 25772, 602, 1118, 909, 519, 23195, 3148, 281, 645, 1415, 2544, 267, 645, 904, 728, 267, 16907, 334, 1180, 4673, 267, 645, 3234, 23810, 267, 9315, 27091, 267, 8865, 344, 267, 667, 732, 16535, 267, 7671, 8725, 267, 3794, 523, 661, 4275, 267, 20523, 667, 663, 523, 784, 267, 670, 10849, 976, 7345, 267, 670, 2541, 267, 3751, 8725, 267, 12928, 2135, 267, 2494, 940, 5069, 267, 3057, 756, 10455, 333, 784, 267, 3057, 334, 1180, 1695, 267, 24332, 267, 9253, 2023, 267, 3933, 1662, 267, 7720, 821, 324, 9503, 267, 2859, 1633, 267, 27450, 2023, 18686, 267, 715, 650, 3518, 1731, 267, 5800, 22361, 760, 267, 853, 517, 940, 2023, 267, 6519, 1817, 572, 267, 1733, 8636, 956, 20660, 267, 19785, 526, 5069, 267, 962, 541, 571, 543, 962, 541, 571, 681, 5190, 563, 2171, 519, 9207, 11220, 9244, 28586, 519, 791, 3789, 540, 519, 24332, 4826, 4826, 1811, 5279, 270, 18404, 15844, 667, 1778, 720, 932, 1618, 593, 3601, 3544, 540, 713, 1858, 563, 763, 17166, 3143, 547, 24332, 4826, 4826, 3118, 10997, 538, 6917, 2127, 21936, 547, 24332, 4826, 543, 519, 16972, 3557, 6554, 729, 2854, 676, 1325, 2581, 9478, 543, 568, 538, 519, 7121, 6554, 693, 3619, 30821, 819, 269, 0, 16449, 519, 1034, 3309, 4025, 593, 3047, 267, 6206, 26085, 19791, 630, 30641, 2026, 264, 3565, 3648, 547, 519, 4541, 779, 9265, 543, 2949, 1072, 269, 1452, 4609, 723, 8810, 547, 581, 513, 1883, 1907, 585, 13057, 3664, 593, 5726, 543, 4264, 2359, 563, 294, 9445, 3332, 1923, 476, 1001, 276, 454, 19465, 593, 519, 1995, 540, 4591, 322, 574, 26288, 538, 11222, 22626, 835, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21691, 5109, 10887, 281, 589, 812, 538, 10571, 25099, 512, 2355, 1010, 12308, 593, 519, 838, 719, 540, 513, 4837, 8708, 547, 1205, 621, 14927, 269, 634, 812, 3096, 1010, 12308, 20386, 1472, 1010, 4994, 543, 1647, 32067, 547, 32432, 513, 21489, 269, 0, 13051, 4941, 513, 5488, 11878, 547, 3127, 269, 3571, 3158, 1433, 539, 1312, 513, 5721, 543, 7077, 11878, 269, 1717, 267, 646, 8120, 519, 5721, 1317, 621, 729, 28537, 269, 0, 9223, 281, 7316, 538, 4789, 568, 519, 2826, 2335, 807, 9576, 25220, 5441, 888, 12585, 281, 546, 691, 17625, 0, 5445, 941, 14126, 519, 9174, 1131, 25010, 519, 5127, 543, 519, 24120, 267, 855, 519, 5127, 729, 1405, 8297, 1441, 269, 0, 9223, 281, 1677, 4558, 2025, 11491, 7637, 602, 596, 4465, 1405, 581, 1210, 585, 513, 1247, 563, 12585, 281, 10925, 519, 11491, 7637, 883, 513, 3794, 611, 8913, 3899, 16292, 8708, 543, 2322, 1394, 538, 707, 20562, 787, 269, 0, 9223, 281, 3509, 1004, 723, 1390, 7411, 538, 6031, 1434, 25742, 269, 1809, 689, 1434, 25742, 8090, 267, 649, 666, 2141, 1451, 1945, 269, 4495, 267, 594, 23986, 731, 567, 513, 4651, 543, 8250, 538, 741, 1434, 25742, 4090, 269, 634, 4651, 1767, 267, 834, 296, 2648, 596, 267, 594, 6999, 596, 2614, 1701, 634, 8250, 12943, 267, 834, 291, 23098, 267, 938, 1272, 1927, 814, 1044, 811, 982, 2614, 269, 2659, 24158, 568, 782, 602, 594, 991, 269, 594, 6999, 596, 2614, 267, 1932, 267, 667, 23098, 1701, 1358, 21098, 539, 543, 1352, 2451, 3267, 634, 4651, 15336, 936, 2509, 803, 269, 594, 1223, 1294, 646, 4941, 543, 2877, 513, 3956, 269, 1261, 3357, 936, 547, 803, 543, 4280, 267, 834, 12441, 596, 2479, 2161, 513, 11014, 1434, 25742, 547, 2576, 8119, 6969, 594, 1223, 2626, 267, 646, 4682, 593, 267, 834, 594, 993, 2025, 543, 1352, 2729, 1454, 1932, 2484, 2476, 269, 594, 917, 1200, 1985, 7552, 1394, 1131, 581, 585, 1250, 24133, 476, 1547, 257, 834, 2691, 596, 941, 6031, 1434, 25742, 594, 4862, 596, 2161, 267, 1412, 296, 6999, 596, 2614, 9538, 2904, 594, 2307, 1018, 602, 1797, 8119, 1261, 3459, 547, 12837, 2073, 834, 2005, 781, 513, 6999, 602, 814, 2097, 1524, 689, 1250, 1390, 3766, 805, 3766, 8681, 18499, 269, 1656, 1250, 3237, 1031, 547, 2161, 621, 547, 803, 1701, 1261, 11074, 585, 513, 4090, 543, 6743, 909, 607, 952, 3843, 547, 3314, 621, 269, 1261, 20493, 1256, 811, 269, 834, 2691, 649, 1767, 262, 296, 6999, 596, 2614, 10086, 649, 941, 16462, 519, 824, 1268, 547, 723, 513, 1272, 2407, 540, 2614, 1434, 1919, 1701, 3973, 267, 7432, 2509, 803, 267, 646, 3838, 567, 519, 1739, 834, 342, 880, 257, 689, 1010, 2295, 269, 594, 6999, 596, 2614, 3141, 547, 1832, 596, 6505, 1547, 594, 6999, 596, 2614, 4764, 547, 5660, 519, 3141, 811, 269, 594, 6999, 596, 2614, 8788, 547, 1832, 596, 9800, 269, 594, 6999, 596, 2614, 1928, 865, 602, 519, 10545, 3675, 903, 538, 1272, 2408, 1454, 8273, 269, 594, 6999, 2614, 22946, 657, 547, 1205, 596, 998, 519, 3803, 1434, 25742, 269, 3733, 2828, 267, 594, 6999, 596, 2614, 269, 3509, 1004, 1131, 1265, 621, 2352, 567, 9041, 476, 4586, 288, 269, 547, 2161, 1434, 25742, 454, 289, 269, 547, 23986, 541, 1866, 454, 290, 269, 547, 2671, 741, 16858, 454, 291, 269, 547, 2661, 1932, 2484, 2476, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 13470, 10537, 1291, 3504, 4095, 24564, 834, 536, 834, 3504, 13470, 10537, 4095, 1291, 24564, 834, 15017, 288, 281, 536, 0, 9223, 281, 4024, 621, 2339, 952, 596, 1810, 1405, 723, 707, 14254, 286, 1703, 941, 513, 1449, 538, 519, 2475, 269, 4658, 540, 1114, 6502, 267, 689, 476, 1321, 547, 476, 10695, 267, 3576, 519, 1449, 269, 4438, 519, 1449, 267, 891, 1004, 3893, 782, 5686, 540, 2736, 325, 6814, 543, 3006, 789, 3893, 1100, 14254, 693, 782, 269, 12207, 4941, 547, 1294, 875, 1134, 789, 5249, 1310, 789, 17696, 1114, 5686, 540, 2736, 325, 6814, 269, 634, 1267, 2982, 602, 952, 513, 1268, 22655, 513, 1318, 14254, 2073, 646, 610, 1352, 786, 960, 1732, 982, 952, 646, 610, 1352, 814, 1100, 14254, 269, 1403, 513, 2875, 814, 4829, 267, 5798, 267, 3694, 543, 5144, 1354, 2469, 547, 1153, 267, 646, 786, 1451, 811, 3533, 543, 6432, 811, 5402, 538, 1362, 269, 634, 1267, 568, 1114, 689, 1018, 930, 1004, 1589, 269, 898, 2982, 2348, 1100, 14254, 786, 711, 948, 873, 6336, 2597, 269, 476, 901, 568, 1317, 789, 1831, 865, 17237, 693, 29869, 602, 789, 3548, 1932, 1454, 585, 12899, 269, 769, 1249, 267, 789, 786, 2744, 2597, 269, 476, 1809, 789, 786, 6336, 811, 2597, 952, 789, 9041, 824, 6980, 269, 3245, 519, 8574, 267, 930, 1004, 1589, 952, 789, 1810, 1405, 723, 14254, 267, 789, 786, 454, 288, 269, 581, 8902, 454, 289, 269, 960, 1732, 454, 290, 269, 6336, 2597, 454, 291, 269, 2744, 2597, 454, 12585, 281, 595, 0, 9223, 281, 2311, 476, 2918, 267, 13191, 6153, 718, 1185, 1100, 2852, 2069, 610, 2257, 2866, 269, 1809, 2094, 6689, 267, 1352, 1185, 1044, 29681, 540, 2324, 5702, 609, 2831, 538, 4000, 269, 834, 5472, 998, 1250, 6689, 1004, 1767, 596, 666, 1405, 979, 547, 4000, 269, 1411, 2811, 513, 8004, 1701, 6153, 718, 1767, 269, 834, 3719, 1250, 3993, 1031, 547, 2161, 267, 952, 596, 2731, 1616, 547, 267, 972, 781, 4986, 596, 666, 1405, 798, 1701, 769, 476, 4198, 278, 267, 519, 476, 2918, 4458, 6040, 6153, 718, 4682, 547, 15057, 547, 960, 607, 513, 23122, 269, 2701, 849, 11231, 547, 2743, 519, 4583, 10196, 8402, 2274, 820, 344, 267, 945, 729, 865, 24330, 676, 1200, 15131, 602, 646, 21534, 1200, 607, 1010, 13930, 269, 2701, 4682, 609, 1864, 593, 1082, 15143, 547, 519, 3979, 26570, 543, 538, 476, 3422, 271, 2274, 820, 344, 2366, 6153, 718, 547, 2661, 1851, 32315, 2763, 525, 538, 513, 6552, 3662, 8190, 267, 10916, 519, 2831, 262, 2623, 543, 4205, 269, 1280, 1614, 3275, 6153, 718, 1500, 2370, 3356, 269, 1809, 1352, 1767, 267, 834, 296, 2760, 3357, 2673, 547, 4758, 909, 1701, 4173, 14634, 3357, 835, 1554, 950, 1352, 4718, 513, 5256, 32315, 345, 2465, 6529, 513, 4062, 540, 6371, 883, 513, 2165, 924, 567, 14629, 267, 1287, 2322, 519, 6371, 538, 1010, 5023, 269, 30850, 1352, 3357, 547, 519, 14629, 543, 1705, 519, 1482, 269, 29553, 532, 519, 6371, 856, 267, 1352, 4362, 19421, 540, 30412, 593, 621, 269, 634, 6602, 4534, 602, 930, 2831, 946, 2645, 4534, 729, 7164, 547, 1034, 3744, 693, 519, 942, 269, 6153, 718, 4718, 32315, 2763, 525, 8858, 1480, 6438, 4664, 267, 971, 607, 30983, 543, 2648, 269, 1809, 1352, 849, 4362, 789, 941, 5827, 540, 10795, 6285, 1996, 1142, 824, 269, 6153, 718, 4607, 1200, 1912, 6185, 269, 538, 519, 1353, 540, 3662, 2623, 693, 4789, 781, 11062, 2160, 269, 3767, 1352, 12599, 1472, 519, 8608, 9870, 2724, 547, 8190, 7320, 269, 834, 296, 2648, 1373, 538, 519, 4104, 609, 519, 32315, 2763, 525, 2437, 1352, 1767, 269, 834, 296, 9364, 1454, 2864, 581, 972, 982, 10707, 1472, 689, 2749, 547, 2749, 1701, 1548, 729, 6153, 718, 781, 6689, 5326, 888, 288, 269, 2701, 26927, 3139, 540, 2469, 547, 2852, 563, 289, 269, 2701, 26927, 3139, 540, 4974, 2831, 538, 4000, 563, 290, 269, 2701, 26927, 3139, 540, 4742, 513, 4583, 10196, 563, 291, 269, 2701, 26927, 3139, 540, 10707, 782, 1472, 519, 1158, 563, 12585, 281, 645, 0, 9223, 281, 29564, 1772, 8676, 601, 543, 1772, 611, 648, 941, 2347, 1727, 657, 2572, 269, 4658, 945, 6785, 873, 1312, 1223, 15991, 3494, 789, 941, 689, 519, 1482, 4541, 267, 1577, 4805, 519, 1482, 1920, 269, 634, 8695, 941, 711, 796, 11779, 4724, 835, 1776, 267, 855, 741, 14789, 941, 865, 1114, 602, 621, 729, 2352, 585, 873, 547, 3914, 513, 3375, 789, 1312, 17329, 269, 4256, 3993, 4749, 5129, 519, 9794, 538, 741, 24895, 269, 1772, 8676, 601, 267, 519, 4587, 7015, 267, 13195, 18942, 269, 1261, 5129, 13836, 267, 11176, 267, 543, 14912, 269, 3674, 611, 648, 267, 519, 7820, 7015, 267, 554, 730, 5026, 269, 1261, 729, 26982, 2678, 543, 1447, 3742, 982, 1010, 7015, 269, 1261, 9053, 7836, 1010, 942, 593, 519, 2780, 267, 1818, 2110, 7044, 543, 1603, 2110, 4930, 269, 1772, 8676, 601, 6068, 5929, 4224, 269, 1261, 19557, 547, 13164, 899, 519, 19468, 956, 269, 1772, 611, 648, 4769, 1405, 1416, 1454, 585, 1346, 13164, 269, 1261, 9053, 2575, 689, 6239, 4000, 269, 24664, 1176, 585, 741, 3237, 267, 1312, 8695, 10150, 6947, 547, 2575, 998, 30069, 269, 2290, 824, 3364, 519, 14552, 1705, 3858, 593, 729, 602, 789, 4941, 513, 4620, 269, 16474, 1185, 9041, 3478, 835, 267, 855, 1310, 1312, 14552, 1185, 581, 13949, 267, 1352, 6368, 8815, 1701, 2171, 666, 1205, 513, 4620, 267, 607, 1279, 607, 596, 1079, 1491, 1416, 540, 621, 2437, 1352, 1767, 269, 6546, 1797, 596, 798, 519, 8023, 267, 596, 798, 519, 2866, 267, 543, 952, 621, 2115, 547, 581, 15336, 267, 596, 798, 519, 6972, 269, 834, 5591, 1966, 267, 16474, 2437, 296, 3333, 2742, 601, 543, 1772, 611, 648, 1767, 1927, 269, 834, 14187, 267, 649, 782, 3858, 2437, 16474, 1767, 269, 834, 3086, 267, 1018, 2186, 540, 4620, 616, 649, 2469, 547, 1205, 8119, 6904, 540, 519, 1739, 568, 519, 1655, 2140, 585, 519, 8574, 888, 288, 269, 14552, 543, 741, 4620, 454, 289, 269, 14552, 543, 741, 1272, 454, 290, 269, 14552, 540, 1114, 14789, 454, 291, 269, 14552, 540, 1114, 12348, 454, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2701, 1767, 267, 2048, 763, 1655, 5796, 568, 602, 952, 596, 2285, 621, 547, 2696, 543, 1577, 2696, 798, 1010, 786, 267, 596, 3580, 581, 5386, 10200, 589, 9350, 4743, 3357, 547, 803, 1310, 1352, 1767, 602, 269, 634, 7326, 540, 938, 22242, 568, 1175, 5863, 269, 898, 729, 8799, 547, 723, 606, 2937, 1920, 4759, 547, 3717, 609, 269, 594, 2968, 1454, 6251, 609, 1200, 1310, 602, 22653, 542, 269, 594, 1500, 2386, 594, 1572, 1200, 1079, 610, 1614, 2053, 513, 1032, 269, 2701, 729, 2141, 865, 6653, 543, 15962, 2223, 15966, 879, 2917, 15422, 563, 24685, 476, 1960, 280, 267, 28266, 729, 538, 5842, 17630, 269, 4438, 519, 5162, 267, 28266, 1131, 979, 547, 1205, 856, 540, 519, 4411, 269, 2701, 14376, 721, 547, 1294, 1200, 269, 1284, 6170, 1079, 2395, 609, 1200, 269, 1284, 4682, 547, 519, 9413, 269, 634, 14364, 729, 887, 6244, 1055, 585, 721, 269, 1358, 18202, 856, 513, 2699, 24095, 269, 589, 1762, 7911, 729, 538, 1899, 17444, 593, 1010, 3993, 779, 10359, 6031, 2048, 6546, 779, 28266, 20088, 10200, 634, 3993, 1159, 17977, 1864, 269, 28266, 4682, 1394, 543, 5143, 519, 4807, 267, 2048, 7312, 1126, 568, 1318, 269, 594, 993, 7323, 28266, 20088, 19028, 2108, 5475, 1352, 1185, 519, 1101, 8482, 538, 476, 1220, 274, 267, 1250, 8250, 4682, 547, 24354, 547, 948, 1491, 1416, 540, 1200, 269, 634, 2749, 540, 24354, 1185, 2016, 1200, 513, 24194, 538, 519, 932, 24075, 2401, 2679, 865, 602, 1352, 1131, 711, 581, 1641, 547, 2576, 8840, 883, 1200, 1753, 1586, 269, 2701, 7948, 1406, 3717, 267, 855, 1352, 1131, 3914, 856, 585, 1200, 1688, 2223, 15966, 879, 2917, 1767, 563, 2108, 9515, 729, 513, 1390, 1126, 12167, 267, 1498, 1352, 2760, 1185, 1022, 1453, 269, 2701, 10692, 585, 7862, 585, 782, 1004, 269, 1703, 729, 1100, 2446, 540, 5198, 950, 594, 12038, 547, 1200, 269, 17813, 2760, 3357, 883, 1404, 269, 898, 729, 2048, 933, 616, 835, 1004, 269, 1284, 616, 782, 1480, 7919, 269, 1284, 2461, 782, 519, 1482, 269, 634, 1152, 3017, 568, 519, 2681, 540, 938, 2960, 543, 938, 2528, 16224, 892, 15966, 879, 2917, 1767, 563, 305, 6242, 20088, 5747, 593, 4239, 269, 476, 2190, 267, 476, 1220, 276, 267, 693, 2085, 476, 10844, 269, 1677, 519, 1158, 267, 1352, 786, 2141, 581, 15422, 607, 513, 29752, 3540, 2924, 22299, 267, 855, 547, 14639, 8291, 15966, 879, 2917, 267, 1352, 786, 2141, 2611, 589, 2863, 773, 28266, 269, 0, 2691, 15270, 1205, 2673, 2614, 547, 1142, 824, 267, 23864, 4229, 666, 512, 1872, 3003, 5182, 1949, 856, 540, 1747, 267, 1253, 15659, 519, 5546, 540, 519, 15025, 6292, 538, 3006, 10565, 6752, 269, 1879, 15270, 609, 3742, 7523, 12519, 22140, 2170, 267, 519, 1267, 666, 581, 20498, 267, 607, 538, 713, 26931, 6611, 23571, 2070, 540, 1488, 335, 476, 28434, 267, 1500, 909, 540, 1530, 344, 325, 1068, 14925, 15726, 290, 476, 15433, 630, 321, 18847, 264, 543, 15096, 476, 14028, 280, 630, 9008, 1040, 26726, 538, 519, 23780, 540, 1312, 15270, 616, 2706, 21346, 633, 3109, 9475, 267, 8362, 905, 8463, 593, 4478, 6801, 267, 3154, 543, 7452, 269, 5548, 6510, 12535, 540, 2339, 666, 581, 2938, 1471, 4601, 8220, 519, 1079, 15270, 538, 513, 10565, 267, 476, 274, 291, 6438, 17431, 540, 5707, 23307, 23864, 4205, 563, 4407, 15726, 290, 476, 30116, 949, 1413, 32668, 267, 621, 568, 4376, 855, 269, 634, 14925, 568, 4867, 18460, 606, 10373, 16802, 540, 5182, 5250, 607, 7000, 538, 713, 8331, 270, 2464, 288, 26931, 6611, 23571, 3239, 269, 1717, 267, 15726, 290, 476, 30116, 779, 5182, 5250, 568, 10169, 8966, 281, 1946, 568, 621, 1152, 2921, 1747, 1369, 606, 6418, 8258, 930, 476, 277, 267, 4335, 1769, 26188, 2066, 543, 711, 8831, 547, 519, 14925, 779, 9018, 8728, 888, 22349, 1258, 12002, 693, 4210, 514, 10767, 928, 2160, 540, 5303, 267, 24332, 267, 723, 4362, 606, 29099, 8032, 2497, 538, 1079, 7404, 1167, 15270, 269, 634, 4210, 514, 10767, 928, 2319, 5063, 2919, 1007, 9196, 3301, 267, 1818, 621, 2009, 547, 7747, 519, 5595, 968, 701, 534, 583, 7387, 3337, 892, 4646, 676, 519, 3892, 540, 6801, 4439, 3101, 689, 519, 18013, 540, 891, 15270, 269, 0, 288, 17642, 564, 841, 11369, 779, 2597, 9775, 4470, 593, 519, 2249, 269, 769, 21617, 16374, 267, 13650, 3170, 1084, 909, 1282, 519, 2887, 547, 581, 4712, 585, 519, 5162, 269, 589, 17642, 564, 841, 11369, 22655, 513, 2603, 1282, 519, 4832, 543, 2887, 267, 865, 922, 3170, 14425, 616, 3710, 909, 269, 1809, 1282, 519, 678, 583, 267, 5256, 13650, 6336, 513, 10116, 540, 741, 1560, 2597, 269, 901, 1797, 789, 1810, 1406, 723, 1454, 942, 547, 1628, 909, 3170, 14425, 563, 763, 2937, 17642, 564, 841, 11369, 7472, 513, 27615, 660, 1606, 333, 677, 2914, 31649, 2763, 3280, 602, 31234, 17282, 267, 14699, 267, 543, 29383, 269, 898, 849, 3096, 922, 3043, 2766, 547, 5968, 609, 824, 13650, 538, 519, 1858, 269, 1403, 596, 1589, 513, 17642, 564, 841, 11369, 3085, 1406, 899, 1776, 13650, 267, 596, 666, 914, 646, 4465, 1406, 1616, 547, 1205, 2282, 621, 563, 288, 9921, 17642, 564, 841, 11369, 22179, 689, 476, 2004, 547, 476, 276, 1556, 266, 6550, 269, 634, 3328, 1032, 1782, 11369, 22179, 476, 10219, 6550, 2361, 21039, 267, 855, 621, 779, 2693, 547, 581, 1063, 476, 8182, 543, 476, 13975, 6550, 2899, 621, 779, 9921, 269, 3509, 21962, 1118, 519, 12161, 540, 3765, 9080, 3101, 17642, 564, 841, 11369, 12035, 543, 723, 32601, 6788, 827, 875, 1454, 9006, 2581, 519, 11369, 786, 6556, 269, 1809, 606, 3328, 9921, 11369, 666, 3132, 513, 1804, 2179, 540, 2848, 6545, 267, 669, 3591, 267, 554, 3711, 584, 3455, 267, 543, 12403, 5779, 269, 634, 5779, 6556, 568, 1869, 6263, 3379, 547, 6469, 2831, 563, 288, 476, 274, 269, 276, 4458, 6040, 11369, 22179, 827, 476, 10204, 6550, 543, 568, 1454, 899, 513, 798, 324, 1510, 1884, 6840, 269, 4706, 9221, 568, 4514, 982, 922, 12042, 18392, 267, 543, 922, 8405, 2220, 20635, 1282, 519, 678, 583, 269, 634, 3330, 3262, 540, 922, 1884, 6840, 568, 827, 476, 1321, 6279, 563, 2304, 3328, 476, 5197, 1790, 895, 11369, 814, 827, 476, 1626, 6550, 540, 12404, 267, 476, 2641, 6550, 540, 7633, 267, 543, 8370, 6550, 540, 1973, 269, 1717, 267, 621, 779, 2352, 547, 7447, 519, 2661, 2597, 540, 513, 13650, 267, 607, 519, 7961, 1841, 4268, 538, 2597, 4470, 593, 519, 1367, 779, 1072, 543, 2732, 563, 19669, 26904, 13650, 616, 519, 1533, 3662, 540, 23916, 267, 11908, 267, 13325, 267, 12309, 267, 543, 20274, 267, 543, 616, 849, 519, 1533, 3662, 540, 16855, 543, 519, 6667, 585, 519, 6660, 342, 879, 27365, 645, 15085, 14912, 2319, 269, 1358, 616, 849, 593, 519, 10359, 540, 7916, 540, 519, 3557, 5600, 538, 28599, 543, 519, 9206, 540, 670, 1180, 32136, 269, 0, 6624, 3237, 1253, 6412, 3381, 931, 3421, 543, 1810, 1406, 1616, 873, 538, 519, 2777, 1317, 789, 616, 12922, 602, 789, 786, 3441, 741, 1453, 779, 2773, 693, 1153, 269, 1717, 267, 519, 2640, 540, 2756, 690, 1868, 1331, 4824, 7060, 540, 5834, 267, 5876, 267, 3965, 267, 4654, 543, 16542, 563, 309, 728, 690, 1868, 666, 1118, 621, 4443, 547, 1451, 3872, 9115, 543, 1020, 5042, 1983, 563, 299, 4673, 15867, 1111, 332, 697, 711, 917, 621, 267, 855, 1200, 19416, 9035, 593, 7591, 23667, 723, 2944, 811, 585, 22884, 982, 1082, 513, 1837, 269, 1306, 1134, 607, 519, 5182, 540, 519, 570, 4861, 14780, 3187, 521, 15676, 267, 972, 616, 11995, 824, 2756, 690, 877, 3197, 945, 267, 19599, 2614, 267, 32570, 2038, 4938, 725, 543, 4001, 1686, 267, 11585, 543, 6128, 547, 6634, 540, 1153, 18244, 543, 4079, 1472, 519, 1158, 269, 5808, 1767, 602, 3381, 931, 3421, 1810, 1406, 12954, 519, 6457, 888, 15578, 29313, 18306, 23814, 5508, 966, 22432, 8104, 4456, 2464, 5442, 14298, 5746, 4953, 312, 454, 763, 2756, 690, 877, 2872, 4503, 922, 26454, 513, 1279, 942, 3516, 269, 1452, 2395, 267, 621, 779, 513, 9921, 5823, 267, 25343, 585, 922, 6639, 4887, 267, 5499, 4390, 543, 922, 1134, 31465, 29426, 5075, 269, 634, 5515, 1810, 1406, 9114, 281, 519, 5823, 786, 1439, 476, 1001, 280, 609, 2518, 4747, 540, 811, 982, 1269, 5611, 5479, 543, 1032, 6823, 4458, 2208, 540, 476, 280, 269, 277, 9077, 2687, 547, 2344, 4987, 2754, 1715, 345, 5622, 563, 4415, 2338, 899, 713, 267, 621, 779, 1100, 9983, 602, 2756, 690, 1868, 20441, 519, 8301, 23724, 783, 5823, 267, 2484, 6619, 540, 2575, 543, 21576, 269, 3502, 1256, 21035, 666, 14526, 609, 513, 5823, 602, 19646, 476, 273, 269, 276, 5479, 5716, 538, 519, 1158, 267, 3226, 609, 16125, 899, 10783, 333, 924, 267, 799, 814, 476, 16928, 2929, 3742, 5716, 269, 634, 8611, 585, 713, 2756, 690, 877, 814, 18084, 10665, 543, 568, 2907, 678, 3430, 1782, 23766, 899, 28923, 811, 982, 18557, 543, 670, 19447, 267, 922, 1463, 15712, 538, 519, 6370, 547, 20441, 519, 8301, 23724, 783, 1543, 18297, 2361, 563, 15578, 26395, 22076, 9215, 717, 28719, 5174, 3008, 3633, 19845, 27073, 5058, 454, 763, 2640, 540, 2756, 690, 1868, 723, 849, 6603, 2069, 609, 3014, 2861, 1565, 269, 901, 3450, 1505, 3096, 6225, 3344, 540, 2756, 690, 1868, 547, 10141, 1702, 547, 1053, 269, 898, 568, 1759, 593, 1614, 1883, 2188, 912, 2005, 3826, 1127, 1272, 883, 2069, 281, 621, 21810, 1565, 883, 606, 11791, 267, 13858, 3014, 1510, 19309, 4245, 269, 4841, 15849, 30968, 543, 11677, 1344, 3592, 1510, 711, 6005, 563, 2005, 25242, 8404, 281, 1053, 616, 519, 1292, 3197, 538, 519, 1650, 543, 741, 1967, 568, 30039, 609, 1199, 1023, 267, 3063, 2729, 267, 13755, 4926, 267, 3092, 269, 901, 19306, 543, 8952, 741, 1719, 538, 1565, 563, 2005, 3947, 3255, 547, 2259, 281, 1053, 666, 4019, 519, 1702, 789, 10536, 1510, 3478, 883, 5906, 3871, 269, 901, 568, 1018, 8184, 543, 12445, 1138, 22399, 267, 585, 3236, 267, 616, 782, 827, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 12110, 610, 824, 9124, 563, 268, 15012, 513, 1489, 1895, 585, 15637, 540, 1004, 609, 4395, 582, 32294, 4713, 269, 6270, 2516, 666, 581, 513, 3407, 4199, 547, 2671, 2833, 543, 4388, 609, 1866, 945, 949, 581, 538, 513, 2147, 3510, 269, 6348, 16118, 3906, 543, 2146, 3906, 949, 1683, 2228, 610, 538, 16512, 1489, 2516, 563, 763, 3906, 7396, 693, 519, 1439, 540, 713, 2546, 666, 948, 609, 1344, 827, 27877, 2533, 543, 1489, 563, 16524, 3856, 1416, 585, 1004, 609, 674, 31813, 454, 2690, 1082, 15637, 267, 972, 2501, 513, 1448, 950, 789, 666, 1100, 3476, 1491, 1416, 540, 519, 1268, 609, 674, 31813, 1510, 3318, 948, 269, 634, 11928, 1516, 7569, 616, 3274, 1932, 1390, 267, 543, 519, 1268, 949, 991, 1472, 7308, 12641, 1442, 1416, 269, 1306, 519, 2068, 22264, 267, 15637, 949, 1616, 547, 1205, 1753, 1072, 1416, 2533, 610, 1413, 585, 513, 10821, 1416, 9744, 267, 971, 607, 513, 1895, 1753, 267, 19443, 2713, 9744, 267, 610, 8808, 1753, 563, 763, 3375, 547, 1847, 519, 1268, 609, 674, 31813, 547, 513, 1416, 9744, 666, 581, 2352, 267, 855, 621, 666, 849, 2285, 15637, 4708, 540, 2247, 547, 917, 602, 519, 1268, 568, 2922, 543, 3478, 1434, 1416, 269, 634, 8519, 1377, 540, 2566, 949, 849, 2087, 519, 15637, 262, 2078, 609, 741, 6068, 835, 563, 10144, 609, 674, 31813, 3335, 2661, 3670, 547, 5216, 1296, 609, 741, 2175, 267, 3006, 3476, 267, 3006, 1447, 269, 4107, 1004, 5884, 540, 2042, 1644, 547, 4359, 2068, 269, 1280, 1383, 267, 607, 3350, 1983, 7771, 267, 513, 1268, 666, 723, 8373, 24948, 267, 3056, 547, 8321, 566, 16415, 267, 538, 799, 1426, 610, 5714, 4991, 883, 519, 9641, 543, 3123, 3968, 269, 4658, 609, 3666, 2042, 949, 2887, 543, 12517, 3614, 675, 2933, 563, 2005, 568, 2352, 267, 855, 1271, 267, 547, 1544, 585, 519, 1439, 540, 1272, 269, 13751, 6054, 267, 971, 607, 513, 786, 267, 2713, 786, 267, 543, 14463, 7060, 540, 18607, 585, 1072, 1416, 543, 18083, 267, 1058, 581, 2813, 610, 8242, 607, 4166, 607, 2009, 1310, 513, 5868, 540, 674, 31813, 610, 513, 1644, 4524, 269, 7216, 593, 267, 1082, 1004, 666, 1174, 543, 7119, 538, 3656, 3664, 269, 1809, 607, 741, 4576, 22264, 267, 621, 3587, 9875, 547, 1118, 971, 3664, 563, 288, 4387, 945, 6487, 827, 4395, 582, 32294, 4713, 666, 948, 3313, 519, 1268, 781, 2790, 4390, 269, 1323, 18607, 945, 24870, 538, 9632, 1876, 267, 9124, 267, 610, 10040, 4058, 666, 1683, 3656, 5796, 267, 5965, 6054, 267, 543, 1118, 2883, 12417, 585, 519, 11928, 1516, 23947, 610, 7649, 543, 8200, 1453, 269, 1403, 2556, 267, 519, 1268, 781, 1569, 547, 18083, 666, 581, 4389, 610, 17515, 563, 2005, 568, 7543, 547, 3589, 519, 3169, 1576, 540, 4395, 582, 32294, 12110, 543, 824, 4395, 582, 32294, 4713, 269, 1452, 4713, 616, 711, 2653, 547, 2661, 609, 267, 855, 609, 948, 267, 1004, 666, 2743, 519, 2591, 543, 5965, 585, 519, 2104, 269, 15775, 606, 2038, 267, 4977, 5868, 543, 519, 1318, 2564, 2319, 616, 2629, 1101, 3268, 269, 12824, 543, 19353, 616, 2324, 4724, 513, 4514, 1620, 540, 4395, 582, 32294, 4713, 543, 1732, 5868, 543, 2126, 547, 948, 1004, 4383, 891, 2352, 2175, 269, 1411, 666, 948, 17362, 519, 1259, 585, 1007, 543, 811, 2500, 5574, 585, 1004, 2713, 609, 674, 31813, 676, 11836, 513, 4791, 4693, 563, 8489, 547, 1265, 674, 31813, 5868, 543, 2126, 454, 10303, 4395, 582, 32294, 12110, 543, 824, 4395, 582, 32294, 4713, 616, 4686, 543, 666, 2014, 2147, 2589, 547, 824, 2175, 267, 621, 666, 581, 2352, 547, 1205, 606, 4977, 5868, 269, 634, 7740, 2630, 723, 19353, 543, 3173, 5059, 4481, 593, 674, 31813, 563, 19111, 5375, 15944, 2160, 454, 23430, 540, 27096, 344, 454, 290, 548, 22093, 18669, 21600, 454, 299, 537, 681, 12320, 334, 4741, 585, 11020, 2657, 454, 299, 553, 30988, 267, 715, 309, 454, 8624, 3518, 807, 6261, 637, 2421, 614, 1014, 6481, 4741, 454, 23430, 540, 27096, 344, 454, 6124, 3840, 267, 12924, 454, 18662, 540, 6925, 454, 295, 537, 8725, 6396, 626, 11233, 454, 293, 3224, 582, 32294, 26440, 523, 3130, 5149, 454, 5715, 10005, 2160, 3427, 540, 6925, 454, 5715, 10005, 12216, 781, 8376, 4741, 454, 297, 25296, 22846, 2160, 3427, 540, 6925, 454, 293, 3224, 582, 32294, 1546, 10879, 543, 8479, 14114, 985, 564, 1546, 618, 5362, 18669, 454, 22709, 11637, 4937, 11233, 454, 293, 3224, 582, 32294, 15136, 5149, 454, 23430, 540, 27096, 344, 454, 4942, 14535, 1460, 610, 8857, 1206, 23014, 267, 589, 313, 454, 296, 322, 23167, 3427, 540, 6925, 454, 6124, 3840, 267, 12924, 454, 301, 656, 345, 2817, 12216, 4741, 454, 22139, 13523, 2160, 3171, 514, 6199, 3427, 540, 6925, 454, 300, 525, 592, 600, 4741, 585, 15465, 27096, 344, 543, 12216, 781, 8376, 454, 17206, 540, 17665, 267, 27257, 454, 10468, 9951, 344, 4972, 267, 10406, 540, 15350, 15136, 454, 17206, 540, 3703, 12052, 454, 293, 659, 8372, 540, 6925, 454, 309, 24860, 267, 7460, 267, 4516, 454, 17206, 540, 4993, 267, 11968, 13353, 454, 299, 657, 13353, 267, 11404, 454, 17206, 540, 4993, 267, 5842, 17630, 454, 4537, 13704, 5336, 2117, 657, 12216, 781, 8376, 3194, 4741, 454, 17442, 808, 3326, 320, 267, 11404, 454, 17206, 540, 4993, 267, 5842, 12770, 454, 300, 25514, 543, 28544, 4741, 454, 26596, 12770, 267, 11404, 454, 17206, 540, 12548, 267, 28631, 454, 9172, 577, 583, 345, 6481, 28941, 454, 17206, 540, 12309, 454, 23430, 540, 27096, 344, 454, 25486, 1488, 4011, 267, 24696, 454, 17206, 540, 3345, 10491, 267, 30989, 10830, 454, 19667, 1707, 540, 15350, 543, 15465, 15136, 454, 2419, 19125, 10830, 267, 12135, 454, 17206, 540, 12425, 2657, 3590, 454, 303, 3317, 13571, 582, 32294, 26440, 523, 3130, 4741, 454, 17206, 540, 17842, 454, 307, 11961, 10418, 585, 3194, 538, 11671, 19592, 17654, 15302, 454, 307, 528, 15193, 267, 10396, 267, 4516, 454, 17206, 540, 6115, 454, 18662, 540, 6925, 454, 23430, 540, 27096, 344, 454, 23430, 540, 27096, 344, 454, 1805, 269, 8402, 267, 17834, 454, 8489, 666, 594, 1265, 811, 1344, 827, 4395, 582, 32294, 4713, 888, 22033, 949, 581, 2139, 689, 519, 1739, 3906, 912, 13233, 4659, 540, 27096, 673, 15136, 543, 853, 6593, 630, 301, 2562, 9169, 994, 12892, 8232, 10029, 454, 17490, 281, 476, 8517, 268, 6507, 273, 268, 13199, 274, 610, 476, 8517, 268, 23283, 268, 5881, 278, 279, 630, 22721, 312, 994, 10499, 291, 5829, 12205, 543, 3906, 454, 10112, 27937, 585, 13571, 582, 32294, 26440, 523, 3130, 630, 288, 10499, 291, 994, 11990, 19958, 3943, 12216, 781, 7690, 454, 17490, 281, 476, 24374, 268, 28178, 268, 279, 3583, 271, 610, 476, 8517, 268, 26604, 268, 29496, 271, 282, 476, 24374, 268, 28178, 268, 276, 6434, 277, 630, 307, 24884, 994, 2704, 11533, 781, 7690, 540, 3013, 454, 10112, 27937, 585, 13571, 582, 32294, 26440, 523, 3130, 8081, 20492, 454, 10499, 291, 15136, 3204, 3588, 454, 23991, 5516, 326, 1853, 19137, 454, 13233, 9142, 540, 26744, 4521, 27017, 7958, 267, 5549, 563, 11039, 1975, 1787, 5948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1845, 538, 2470, 2433, 8307, 1978, 1623, 5471, 1845, 616, 6462, 676, 519, 2230, 538, 799, 649, 2661, 269, 901, 1281, 711, 1152, 24764, 676, 281, 476, 277, 269, 6641, 5471, 1845, 9114, 693, 519, 2295, 540, 519, 4031, 540, 2470, 269, 7216, 3621, 23766, 971, 607, 31595, 22191, 328, 267, 11412, 2946, 29439, 26075, 543, 21469, 13053, 1705, 711, 3717, 538, 1346, 2474, 267, 855, 1623, 5471, 1845, 24764, 676, 912, 296, 723, 1175, 8737, 707, 1390, 1433, 267, 543, 1796, 676, 1250, 30437, 8835, 2689, 269, 9948, 594, 849, 1360, 1454, 10150, 519, 22429, 3184, 267, 607, 621, 8659, 513, 2370, 23019, 1413, 6619, 267, 16460, 2055, 602, 6923, 2097, 909, 1310, 2542, 513, 1257, 971, 607, 713, 269, 28038, 6323, 689, 606, 2079, 540, 1623, 5471, 1845, 814, 2016, 803, 513, 1007, 7071, 540, 519, 20546, 532, 5898, 540, 519, 3044, 2203, 269, 12344, 519, 1034, 4909, 6310, 1523, 1765, 15228, 11496, 28934, 849, 519, 1034, 4922, 14754, 676, 2470, 269, 901, 1148, 7779, 1820, 593, 5230, 26278, 6006, 2934, 513, 546, 9579, 1782, 5044, 540, 2592, 540, 1169, 1826, 540, 15340, 267, 1519, 8086, 267, 10047, 267, 543, 8144, 1623, 5471, 1845, 267, 4805, 543, 538, 4999, 269, 275, 270, 276, 263, 272, 1040, 6641, 11496, 568, 513, 5929, 1353, 540, 15340, 538, 6128, 267, 519, 9443, 267, 2470, 267, 543, 1148, 689, 835, 540, 519, 14206, 2540, 781, 6574, 22697, 269, 19555, 2335, 1284, 2643, 7710, 519, 1523, 540, 15340, 4098, 609, 519, 2856, 602, 621, 4564, 513, 10103, 540, 17114, 267, 543, 7930, 8977, 338, 547, 4983, 922, 811, 7493, 8677, 543, 19183, 32737, 24845, 267, 6037, 2218, 267, 24364, 267, 25798, 1315, 276, 263, 273, 1040, 1623, 5471, 1845, 602, 5352, 873, 269, 901, 1433, 666, 581, 1031, 607, 513, 22488, 3872, 1907, 547, 4196, 607, 606, 3606, 4199, 538, 519, 4928, 610, 1753, 269, 1280, 7855, 267, 519, 2591, 1369, 519, 3817, 540, 519, 1433, 666, 581, 1031, 607, 834, 2889, 12378, 5036, 2668, 901, 1433, 666, 581, 1031, 607, 513, 21363, 7801, 12025, 281, 476, 272, 11586, 269, 0, 303, 1137, 538, 7121, 15141, 687, 538, 24469, 519, 1739, 476, 1015, 3817, 616, 538, 713, 7121, 267, 856, 540, 476, 1015, 2698, 269, 634, 512, 644, 832, 476, 8182, 274, 476, 14028, 279, 1714, 9626, 476, 272, 476, 14028, 274, 29827, 1775, 476, 15150, 278, 1196, 1189, 19274, 476, 5611, 280, 29165, 642, 13839, 476, 16825, 276, 29165, 642, 4512, 476, 274, 269, 19612, 607, 29827, 338, 4831, 516, 4146, 538, 476, 790, 1633, 267, 8878, 540, 519, 5939, 543, 11685, 547, 13889, 656, 15024, 729, 519, 840, 3667, 585, 737, 843, 4100, 18326, 538, 476, 14631, 271, 338, 543, 476, 275, 15141, 687, 538, 1714, 9626, 338, 12081, 4984, 729, 3592, 6157, 513, 27972, 752, 585, 2797, 6859, 269, 31052, 687, 2055, 689, 2250, 4574, 535, 330, 985, 18326, 269, 31052, 687, 1282, 519, 512, 31122, 1974, 689, 519, 12081, 540, 29165, 642, 4512, 547, 519, 12081, 540, 1714, 9626, 1775, 269, 570, 31122, 15141, 687, 476, 16825, 276, 1626, 6734, 3046, 321, 4673, 544, 969, 2106, 267, 476, 1014, 546, 1177, 5459, 267, 544, 19376, 678, 13704, 267, 25888, 773, 676, 668, 4647, 536, 758, 269, 570, 31122, 15141, 687, 267, 1631, 538, 922, 18749, 7160, 267, 3947, 513, 26567, 2272, 540, 519, 2101, 15141, 687, 1996, 519, 512, 31122, 21257, 538, 24469, 689, 519, 12081, 540, 4622, 29165, 642, 4512, 2394, 519, 2669, 540, 15596, 1714, 9626, 1775, 538, 476, 8182, 274, 519, 1433, 25001, 1769, 593, 930, 540, 519, 1292, 4798, 540, 512, 31122, 1686, 267, 1519, 519, 30552, 770, 903, 3801, 547, 3142, 519, 5087, 543, 7178, 896, 519, 1852, 540, 519, 3854, 267, 519, 3356, 540, 269, 3399, 4974, 12206, 12496, 540, 15141, 687, 538, 512, 31122, 2053, 585, 513, 273, 1686, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 634, 512, 31122, 15141, 687, 3947, 513, 26567, 678, 1495, 1144, 540, 519, 2101, 15141, 687, 543, 25001, 1769, 593, 930, 540, 519, 1292, 4798, 540, 512, 31122, 1686, 267, 1519, 519, 15913, 269, 20900, 535, 2280, 7815, 267, 19497, 7548, 540, 1686, 267, 6280, 540, 1965, 16303, 269, 16024, 2103, 12496, 540, 15141, 687, 538, 512, 31122, 2053, 269, 3767, 5176, 2185, 5756, 2663, 267, 7548, 1019, 1301, 4660, 5672, 1529, 331, 5255, 814, 2899, 811, 8499, 15428, 543, 9450, 713, 5929, 1257, 547, 1491, 883, 2272, 3078, 543, 5499, 960, 593, 519, 1641, 563, 2005, 849, 25001, 1769, 593, 930, 540, 519, 1292, 4798, 540, 512, 31122, 1686, 267, 1519, 519, 30552, 770, 903, 3801, 547, 3142, 519, 5087, 543, 7178, 896, 519, 1852, 540, 519, 3854, 267, 519, 3356, 540, 519, 7005, 269, 6056, 811, 7184, 543, 960, 811, 10446, 693, 513, 1377, 1686, 998, 513, 5402, 2219, 719, 679, 11431, 1935, 689, 695, 335, 269, 11334, 1489, 1570, 20410, 2985, 476, 273, 540, 476, 1428, 9115, 4367, 547, 519, 1433, 476, 274, 269, 898, 729, 851, 540, 513, 10325, 540, 960, 799, 3746, 2213, 519, 1079, 4229, 2324, 2509, 519, 1439, 540, 8474, 269, 2368, 476, 5611, 271, 2367, 941, 533, 731, 19861, 543, 1152, 476, 277, 941, 13401, 1519, 14646, 12068, 519, 6205, 540, 519, 27693, 269, 898, 568, 513, 1259, 540, 1565, 538, 4130, 2516, 998, 4901, 267, 2966, 1312, 547, 1205, 2476, 689, 543, 547, 7110, 519, 2596, 11000, 2553, 269, 8281, 7824, 2542, 538, 512, 31122, 24469, 1863, 2228, 1007, 269, 634, 512, 31122, 15141, 687, 3947, 513, 26567, 678, 1495, 1144, 540, 519, 2101, 15141, 687, 543, 25001, 1769, 593, 930, 540, 519, 1292, 4798, 540, 512, 31122, 1686, 267, 1519, 519, 30552, 770, 903, 3801, 547, 3142, 519, 5087, 543, 7178, 896, 519, 1852, 540, 519, 3854, 267, 519, 3356, 540, 519, 7005, 556, 4146, 543, 519, 1764, 269, 11773, 633, 8747, 540, 512, 31122, 15141, 687, 723, 1044, 3844, 547, 1620, 512, 31122, 6214, 2094, 476, 3422, 279, 267, 950, 16320, 3415, 535, 2280, 7815, 1101, 3370, 1010, 1433, 269, 1656, 519, 21038, 568, 1732, 693, 533, 4979, 593, 10071, 531, 1469, 982, 621, 568, 593, 7713, 875, 1655, 547, 4990, 856, 519, 4105, 8631, 689, 3388, 563, 11997, 621, 991, 513, 1863, 1129, 1575, 1184, 547, 3489, 519, 1433, 269, 2311, 519, 1283, 540, 519, 5816, 596, 961, 1265, 513, 5758, 3296, 269, 2368, 540, 891, 941, 519, 1587, 540, 3909, 20494, 341, 1734, 585, 1383, 530, 344, 30476, 18326, 267, 930, 941, 6237, 610, 6803, 538, 2470, 552, 269, 4746, 1519, 513, 5542, 540, 3119, 2707, 6054, 269, 570, 31122, 15141, 687, 267, 1631, 538, 922, 15795, 7160, 267, 3947, 513, 26567, 2272, 540, 519, 2101, 15141, 687, 1996, 519, 512, 31122, 21257, 689, 519, 12081, 540, 4622, 29165, 642, 4512, 2394, 519, 2669, 540, 15596, 1714, 9626, 1775, 538, 476, 8182, 274, 269, 901, 3135, 568, 899, 513, 5399, 267, 946, 3406, 4216, 538, 519, 11097, 1326, 547, 1205, 19545, 602, 596, 1616, 269, 634, 1686, 540, 2038, 2413, 31564, 689, 476, 16825, 276, 1626, 6734, 15438, 540, 24469, 512, 31122, 588, 22115, 29165, 642, 4512, 476, 16825, 276, 1428, 6021, 28642, 19274, 540, 1085, 582, 1633, 476, 14444, 278, 1626, 1839, 543, 1775, 540, 24469, 476, 8182, 22332, 1839, 563, 10112, 612, 713, 2070, 540, 519, 3123, 540, 15141, 687, 538, 512, 31122, 24469, 269, 570, 31122, 15141, 687, 19545, 676, 1019, 1301, 4660, 5672, 1529, 331, 5255, 986, 330, 9790, 737, 984, 334, 269, 8437, 4647, 610, 1224, 2228, 7735, 547, 1205, 530, 2297, 543, 519, 512, 31122, 1533, 1433, 1631, 269, 570, 31122, 15141, 687, 519, 3123, 540, 512, 31122, 15141, 687, 689, 476, 16825, 276, 1626, 4905, 269, 589, 13959, 547, 512, 31122, 3332, 6799, 513, 4015, 540, 13977, 821, 9241, 20827, 3594, 2519, 593, 7005, 3332, 543, 2528, 689, 519, 12081, 540, 29165, 642, 4512, 538, 476, 16825, 276, 547, 519, 2669, 540, 1714, 9626, 1775, 538, 476, 8182, 274, 269, 18918, 707, 1053, 1282, 6552, 1565, 609, 3381, 1224, 531, 10796, 269, 634, 512, 31122, 2085, 729, 513, 31341, 6681, 835, 513, 942, 540, 519, 556, 4146, 267, 931, 7032, 20874, 267, 909, 5142, 902, 543, 15141, 687, 269, 6145, 782, 513, 273, 5348, 641, 6776, 4574, 267, 713, 835, 3340, 1053, 547, 4487, 513, 7168, 1804, 2179, 540, 1344, 269, 8281, 7824, 512, 31122, 15141, 687, 476, 16825, 276, 476, 8182, 274, 1863, 2228, 269, 570, 31122, 15141, 687, 476, 16825, 276, 1626, 6734, 3046, 321, 4673, 544, 969, 2106, 267, 476, 1014, 546, 1177, 5459, 563, 307, 31122, 15141, 687, 5758, 14469, 676, 32650, 22781, 536, 20621, 476, 273, 269, 19634, 333, 827, 519, 960, 540, 1614, 2229, 635, 2153, 619, 267, 27072, 540, 519, 1395, 770, 1845, 267, 2736, 609, 17858, 267, 26456, 267, 9204, 593, 13265, 267, 7127, 22717, 267, 2199, 1198, 540, 27072, 267, 4057, 554, 269, 11572, 2188, 607, 513, 2014, 540, 512, 31122, 15141, 687, 2797, 3123, 9409, 9666, 619, 1249, 687, 30552, 2880, 2152, 543, 19588, 2229, 6304, 538, 24469, 543, 476, 790, 1633, 476, 275, 269, 3967, 476, 1220, 278, 476, 278, 1514, 543, 2804, 2175, 941, 2141, 513, 3815, 267, 855, 10355, 519, 9594, 269, 769, 4452, 525, 2272, 540, 519, 2680, 267, 4984, 5129, 1100, 7986, 851, 269, 570, 31122, 15141, 687, 476, 16825, 276, 1626, 6734, 3506, 1686, 1788, 3817, 269, 22307, 4536, 941, 2366, 1055, 547, 9856, 1609, 919, 7663, 5857, 701, 729, 18486, 543, 30992, 547, 581, 554, 6548, 269, 1403, 621, 2139, 585, 707, 2197, 621, 786, 3254, 607, 1433, 5467, 543, 3593, 4628, 24049, 786, 4324, 676, 2348, 2407, 1569, 547, 782, 2835, 269, 12986, 543, 519, 512, 31122, 1533, 4647, 19545, 7824, 267, 3134, 889, 269, 634, 512, 31122, 15141, 687, 3947, 513, 26567, 678, 1495, 1144, 540, 519, 269, 570, 31122, 15141, 687, 476, 277, 628, 7160, 676, 16320, 3415, 535, 2280, 7815, 267, 1019, 1301, 4660, 5672, 1529, 331, 5255, 476, 1001, 276, 476, 21327, 3817, 568, 16818, 563, 307, 31122, 15141, 687, 16320, 3415, 535, 2280, 7815, 267, 1019, 1301, 4660, 5672, 1529, 331, 5255, 269, 570, 31122, 15141, 687, 16320, 3415, 535, 2280, 7815, 267, 16320, 3415, 14646, 535, 2280, 7815, 269, 570, 31122, 15141, 687, 476, 16825, 276, 476, 8182, 274, 4647, 512, 31122, 15141, 687, 476, 16825, 276, 476, 8182, 274, 19545, 7824, 610, 1224, 2228, 2835, 538, 7824, 267, 3134, 889, 267, 543, 4254, 328, 3898, 269, 589, 32142, 476, 272, 322, 512, 31122, 18326, 14469, 3349, 3450, 2200, 269, 15215, 543, 519, 530, 344, 3430, 18326, 540, 476, 14028, 275, 5939, 1686, 269, 22910, 4266, 476, 2735, 274, 3584, 32066, 909, 5142, 902, 267, 1202, 4026, 1890, 269, 15486, 540, 512, 31122, 15141, 687, 676, 32406, 18588, 8318, 752, 657, 593, 840, 17844, 269, 1677, 1205, 606, 2856, 540, 519, 6370, 540, 536, 657, 10290, 538, 27362, 476, 16825, 276, 267, 1775, 4363, 596, 4585, 519, 942, 2319, 2027, 269, 3973, 1142, 540, 519, 1292, 15141, 687, 568, 18808, 609, 538, 26567, 1931, 585, 1142, 596, 961, 1265, 2596, 3877, 267, 513, 2110, 2239, 2966, 547, 948, 596, 1205, 519, 7291, 540, 2621, 2786, 538, 707, 8186, 267, 543, 1287, 930, 6140, 2656, 663, 323, 8812, 2079, 269, 12937, 840, 2183, 547, 519, 11359, 7160, 1535, 11760, 906, 1535, 328, 12225, 1108, 1535, 4512, 627, 657, 945, 1535, 643, 7851, 1535, 343, 851, 835, 519, 4282, 476, 272, 476, 272, 519, 3337, 540, 512, 31122, 2486, 476, 274, 476, 273, 2093, 540, 19169, 267, 2093, 540, 5126, 476, 280, 851, 1079, 10855, 2079, 476, 1704, 476, 274, 21259, 543, 18326, 476, 866, 519, 586, 30435, 18326, 267, 476, 16825, 280, 476, 736, 519, 8970, 880, 15141, 687, 267, 476, 14983, 278, 476, 2641, 4187, 547, 21259, 267, 476, 14681, 30589, 476, 2190, 476, 275, 519, 13274, 3712, 985, 10921, 8375, 543, 519, 269, 8080, 267, 9767, 616, 3168, 693, 2835, 585, 2542, 267, 519, 512, 31122, 267, 596, 786, 2111, 547, 1224, 610, 4647, 538, 7824, 610, 3134, 889, 2835, 543, 5469, 930, 540, 2278, 949, 723, 9376, 519, 2661, 2542, 585, 930, 540, 2197, 269, 570, 31122, 18326, 14469, 3349, 602, 6227, 18326, 689, 476, 16825, 276, 1626, 6734, 269, 4029, 476, 10219, 278, 476, 15647, 280, 476, 14056, 276, 476, 16328, 275, 476, 6321, 272, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 2878, 12850, 654, 1180, 619, 281, 27822, 543, 1234, 6748, 670, 273, 302, 4373, 20756, 972, 256, 5620, 596, 2479, 2219, 827, 1141, 782, 519, 1216, 649, 946, 4422, 1310, 649, 2811, 2944, 609, 621, 286, 4270, 267, 3494, 621, 610, 711, 267, 930, 540, 602, 1216, 666, 2965, 581, 19345, 909, 543, 1031, 1586, 256, 901, 1184, 568, 1572, 2608, 4248, 9657, 265, 630, 528, 3006, 2608, 4248, 556, 17474, 265, 264, 543, 19074, 269, 2913, 781, 4685, 883, 713, 3579, 2029, 543, 1294, 875, 621, 2337, 721, 18359, 938, 10475, 1216, 2200, 780, 5331, 952, 1169, 942, 596, 3576, 513, 8602, 267, 596, 1223, 946, 602, 1482, 1216, 547, 23574, 519, 16003, 610, 1216, 519, 2371, 26063, 1107, 4992, 14407, 693, 1101, 267, 1318, 286, 1809, 1810, 1405, 5855, 256, 2334, 781, 711, 4010, 1018, 4523, 538, 1216, 9657, 269, 5502, 267, 2027, 6191, 1572, 2608, 325, 2830, 1674, 1949, 265, 2973, 519, 1216, 2394, 621, 781, 2922, 547, 946, 2899, 811, 269, 1703, 616, 1114, 2157, 540, 7738, 4470, 593, 1018, 649, 1544, 547, 798, 609, 519, 1216, 1985, 780, 2080, 781, 513, 26345, 1383, 547, 948, 2491, 891, 2157, 281, 1589, 540, 707, 5172, 4829, 10433, 4216, 269, 1879, 596, 4235, 621, 267, 596, 1522, 4734, 3297, 1175, 513, 2370, 3787, 540, 10433, 538, 519, 5377, 269, 1411, 9327, 1405, 1616, 547, 4196, 602, 31629, 10433, 547, 2576, 3116, 1317, 621, 814, 17900, 689, 707, 5023, 269, 1924, 267, 1354, 4896, 3116, 10425, 621, 267, 519, 2754, 1131, 991, 547, 6882, 543, 1521, 519, 6967, 10433, 865, 621, 3587, 4195, 543, 2973, 899, 1007, 780, 1103, 1216, 9657, 267, 1934, 616, 1614, 1292, 2157, 540, 19288, 543, 2126, 1759, 593, 519, 2186, 540, 19074, 649, 2832, 585, 1384, 272, 269, 2878, 22025, 762, 1234, 2224, 4995, 1403, 649, 1616, 547, 2490, 16894, 1394, 883, 6704, 1216, 267, 1287, 649, 991, 547, 2285, 621, 519, 1034, 9488, 26349, 269, 7981, 12086, 4894, 1022, 17571, 267, 1247, 6464, 2736, 1524, 5739, 6878, 269, 30850, 267, 3063, 3268, 899, 11158, 1769, 4598, 2327, 3388, 781, 2706, 2973, 269, 898, 781, 899, 7432, 707, 2025, 4829, 10433, 4216, 883, 6216, 20642, 10833, 4712, 585, 9042, 2439, 273, 269, 2878, 15239, 13607, 762, 1234, 2224, 4995, 6884, 267, 649, 1810, 1405, 991, 519, 1216, 547, 581, 4625, 6986, 282, 6148, 621, 786, 1152, 581, 1031, 585, 1919, 899, 14450, 10651, 610, 1166, 5241, 30079, 269, 1280, 891, 2665, 267, 1447, 7920, 22729, 2409, 960, 1134, 2614, 269, 5994, 32092, 532, 856, 707, 10433, 4216, 855, 1869, 7487, 6263, 11353, 540, 17870, 3330, 22924, 4465, 1406, 2800, 4376, 952, 596, 946, 621, 547, 1216, 2371, 2439, 274, 269, 2878, 5715, 1311, 8000, 762, 1234, 2224, 4995, 14936, 267, 3006, 13381, 1216, 30012, 609, 824, 2067, 2959, 899, 8933, 610, 15780, 1354, 1373, 5701, 1586, 585, 6704, 269, 901, 1259, 267, 2470, 1281, 930, 540, 519, 3355, 19003, 960, 585, 721, 269, 6056, 540, 4687, 707, 1631, 6140, 8900, 10433, 4216, 609, 2828, 945, 1039, 741, 1378, 4195, 23238, 547, 1711, 513, 17705, 6404, 11100, 2439, 3086, 602, 596, 917, 827, 1216, 9657, 4066, 1577, 803, 2671, 1946, 789, 2339, 269, 3776, 4541, 3085, 1405, 3132, 1007, 1216, 267, 2495, 519, 1482, 12772, 4783, 998, 12084, 267, 12647, 267, 11811, 267, 543, 1256, 1369, 2713, 7919, 899, 721, 256, 2060, 3395, 5095, 543, 4657, 16374, 7133, 1216, 8244, 267, 1210, 2029, 547, 22120, 543, 19074, 1216, 2306, 2631, 269, 1635, 3257, 865, 267, 649, 666, 2569, 2566, 593, 938, 3407, 1216, 7727, 543, 1628, 2950, 5423, 585, 2104, 2591, 780, 3383, 3314, 281, 950, 1272, 3947, 596, 18660, 1216, 267, 2490, 621, 883, 1945, 3730, 609, 1216, 9657, 543, 19074, 4066, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4338, 288, 8889, 6651, 593, 4826, 454, 24314, 4528, 32738, 676, 14905, 8274, 540, 6034, 832, 267, 4989, 476, 1428, 267, 476, 1220, 273, 454, 24993, 4528, 7550, 676, 3848, 1546, 5586, 622, 13909, 267, 4989, 476, 273, 267, 476, 1001, 277, 454, 24993, 4528, 32738, 676, 14905, 8274, 540, 6034, 832, 267, 5147, 476, 1428, 267, 476, 1001, 277, 454, 9199, 3431, 519, 1909, 540, 24990, 609, 2463, 547, 1216, 5059, 593, 2825, 2200, 267, 9651, 17846, 543, 6360, 1852, 269, 4826, 3028, 2152, 267, 1519, 1216, 7274, 543, 2298, 267, 941, 2451, 547, 519, 1216, 20848, 269, 4653, 267, 1216, 4058, 568, 18460, 4028, 1689, 609, 519, 1764, 540, 2551, 2208, 267, 2916, 1689, 267, 5989, 2175, 543, 519, 11173, 3310, 540, 519, 2825, 3350, 269, 667, 893, 1206, 267, 17160, 267, 5989, 14286, 267, 4145, 827, 6932, 17694, 543, 6639, 8441, 723, 3361, 513, 4838, 538, 519, 1216, 2872, 269, 4826, 8030, 616, 4098, 547, 5431, 789, 3112, 1683, 4264, 2533, 1510, 5473, 1346, 538, 519, 1646, 2146, 2443, 1519, 24990, 267, 16413, 267, 543, 2146, 15628, 563, 22117, 532, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12850, 27822, 543, 1234, 2224, 16370, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 7054, 3419, 566, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 1770, 593, 5124, 5752, 543, 12240, 256, 769, 713, 1770, 267, 649, 786, 2263, 875, 547, 946, 5124, 547, 2170, 609, 12240, 543, 23074, 1239, 1759, 593, 3593, 3403, 269, 1284, 786, 849, 1451, 875, 547, 6023, 6959, 543, 2132, 6209, 6835, 547, 519, 3593, 780, 4131, 781, 1376, 676, 16459, 519, 2556, 8021, 269, 1284, 786, 991, 519, 1739, 1384, 268, 4469, 2532, 281, 513, 1357, 5943, 585, 2679, 1357, 3156, 538, 5124, 454, 268, 14069, 2704, 17057, 344, 281, 513, 5399, 585, 15025, 609, 12240, 1210, 5124, 454, 268, 17877, 281, 513, 5399, 585, 10230, 7384, 538, 5124, 692, 2414, 3888, 891, 8021, 267, 649, 666, 946, 519, 10398, 4971, 538, 519, 12363, 912, 8199, 26921, 3888, 1166, 2532, 13483, 331, 531, 17057, 344, 11885, 454, 8199, 3086, 602, 649, 723, 8704, 519, 2556, 8021, 267, 1577, 781, 1376, 676, 2870, 513, 1007, 5124, 3758, 543, 1104, 532, 519, 2838, 13838, 269, 1284, 786, 849, 1711, 513, 1007, 4469, 2532, 813, 912, 8199, 5228, 1166, 2532, 1104, 4469, 2532, 267, 795, 5459, 1518, 454, 5228, 13483, 331, 531, 17057, 344, 1104, 1711, 318, 19956, 267, 30775, 454, 5814, 11885, 607, 5286, 692, 1952, 815, 4469, 2532, 263, 1029, 4067, 1029, 994, 8199, 9202, 267, 649, 786, 1711, 513, 1007, 1599, 602, 786, 6023, 3593, 3403, 543, 23074, 1239, 689, 519, 6538, 269, 1284, 786, 1289, 713, 1599, 2387, 1326, 12774, 319, 912, 8199, 287, 1952, 269, 709, 974, 2891, 270, 777, 328, 7933, 1092, 5602, 3698, 1205, 12774, 10031, 825, 1948, 5192, 519, 1376, 543, 1439, 7389, 689, 519, 3593, 3403, 454, 825, 1376, 815, 7662, 269, 16911, 10947, 2891, 11034, 5602, 825, 1439, 815, 7662, 269, 16911, 10947, 2891, 754, 15419, 825, 1948, 8073, 938, 8400, 630, 15062, 264, 689, 5124, 547, 519, 24766, 454, 825, 2599, 815, 1711, 318, 19956, 2891, 338, 27942, 924, 2517, 270, 11907, 6155, 321, 5602, 825, 8400, 815, 29140, 263, 19956, 2020, 825, 1948, 2372, 2044, 782, 13247, 1239, 609, 519, 4266, 454, 825, 2638, 815, 8400, 269, 638, 2044, 263, 9288, 5501, 618, 6155, 622, 1040, 718, 10797, 825, 1948, 2372, 2044, 519, 1239, 1063, 519, 1376, 543, 1439, 7389, 454, 825, 2164, 815, 8400, 269, 638, 2044, 263, 9288, 5501, 618, 6155, 622, 267, 30775, 27982, 263, 9288, 5501, 618, 6745, 10849, 1070, 30775, 269, 2381, 263, 9288, 5501, 618, 6745, 10849, 1070, 30775, 27982, 263, 9288, 5501, 618, 6745, 10849, 26895, 16344, 614, 263, 9288, 5501, 618, 6155, 622, 13843, 1376, 267, 20970, 6155, 622, 10922, 1439, 1040, 16766, 318, 2421, 263, 9288, 5501, 618, 6155, 622, 1040, 718, 10797, 825, 8400, 25379, 10797, 825, 1948, 6744, 952, 519, 3403, 7389, 616, 4570, 454, 825, 952, 1376, 3436, 1439, 912, 1038, 2132, 795, 5459, 1518, 20719, 257, 19587, 9899, 535, 257, 346, 11034, 348, 666, 1405, 581, 3677, 982, 2715, 754, 20467, 7490, 6467, 610, 556, 268, 10938, 7389, 257, 348, 1070, 476, 29024, 454, 825, 3116, 912, 1038, 2638, 815, 1592, 18828, 269, 30584, 263, 13765, 4917, 1038, 14805, 4671, 10849, 815, 1592, 18828, 269, 30584, 263, 29798, 4917, 1038, 1948, 6744, 952, 519, 1376, 4266, 568, 538, 519, 6538, 454, 1038, 952, 1376, 538, 2638, 912, 2018, 2132, 795, 5459, 1518, 4433, 17026, 4671, 10849, 994, 1038, 3116, 912, 2018, 2132, 795, 5459, 1518, 20719, 257, 19587, 9899, 535, 257, 346, 11034, 348, 1223, 711, 581, 1336, 257, 348, 1070, 476, 29024, 454, 8199, 4131, 781, 2736, 1524, 713, 1599, 1900, 676, 1900, 780, 5575, 267, 649, 1205, 519, 1376, 543, 1439, 7389, 689, 519, 3593, 3403, 1210, 2387, 7528, 652, 269, 16911, 10947, 13237, 269, 901, 1599, 2636, 721, 547, 23074, 2418, 689, 519, 15745, 13214, 5569, 780, 9202, 267, 649, 1711, 513, 1007, 8400, 1210, 519, 2387, 22056, 318, 19956, 13237, 1599, 689, 14069, 2704, 17057, 344, 269, 901, 1599, 5932, 513, 1007, 6538, 2599, 602, 649, 666, 946, 547, 2170, 609, 519, 6538, 269, 1284, 1287, 1711, 513, 1007, 8400, 1210, 519, 2387, 306, 11970, 13237, 1599, 689, 14069, 2704, 17057, 344, 269, 901, 8400, 2636, 721, 547, 14892, 14069, 14511, 1996, 519, 6538, 780, 2171, 1287, 13214, 782, 519, 13247, 1239, 689, 519, 6538, 1210, 519, 2387, 338, 11970, 269, 638, 2044, 13237, 1599, 269, 901, 1599, 2636, 721, 547, 14574, 519, 9587, 649, 1616, 547, 23074, 689, 519, 6538, 543, 1022, 2175, 649, 1616, 547, 4019, 547, 519, 13214, 269, 769, 713, 2013, 267, 649, 616, 13098, 1324, 519, 2387, 11845, 319, 6241, 689, 519, 2387, 9288, 5501, 618, 319, 3349, 780, 2171, 1287, 13214, 519, 1239, 1063, 519, 1376, 543, 1439, 7389, 1210, 519, 2387, 16344, 614, 13237, 1599, 689, 14069, 2704, 17057, 344, 269, 901, 1599, 2636, 721, 547, 4019, 2175, 547, 519, 13214, 267, 971, 607, 19003, 519, 1239, 1759, 593, 519, 4266, 269, 769, 713, 2013, 267, 649, 616, 19003, 519, 1239, 865, 602, 1152, 519, 9343, 609, 513, 4266, 1063, 519, 1376, 543, 1439, 7389, 616, 8120, 269, 1284, 849, 946, 519, 2387, 16766, 318, 2421, 13237, 1599, 689, 14069, 2704, 17057, 344, 547, 1895, 519, 2164, 676, 4266, 780, 2171, 1287, 2673, 519, 8400, 1210, 519, 2387, 338, 11970, 25379, 13237, 1599, 780, 9202, 267, 649, 2638, 952, 519, 3403, 7389, 616, 4570, 269, 1403, 519, 1376, 4266, 568, 3677, 982, 519, 1439, 4266, 267, 649, 2132, 606, 5470, 5048, 547, 519, 3593, 780, 2171, 1287, 6460, 519, 2387, 13765, 319, 543, 2387, 29798, 319, 4632, 547, 8638, 1210, 519, 2387, 4289, 13237, 543, 2387, 12639, 269, 30584, 13237, 3252, 269, 901, 2636, 721, 547, 3362, 2638, 952, 519, 1376, 4266, 568, 538, 519, 6538, 780, 7661, 267, 649, 2638, 952, 519, 1376, 4266, 568, 538, 519, 6538, 1210, 519, 2387, 514, 319, 11346, 269, 1403, 519, 1376, 4266, 568, 538, 519, 6538, 267, 649, 2132, 519, 2164, 607, 513, 32227, 1843, 269, 1403, 519, 1376, 4266, 568, 711, 538, 519, 6538, 267, 649, 2132, 606, 5470, 5048, 547, 519, 3593, 780, 3086, 1577, 781, 1449, 938, 1599, 676, 4881, 519, 4469, 2532, 813, 912, 8199, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 813, 269, 14725, 263, 1372, 30132, 18989, 994, 8199, 2171, 666, 1449, 938, 1599, 676, 17034, 519, 1739, 15745, 538, 938, 1357, 11422, 912, 8199, 10674, 2517, 29985, 10676, 281, 4335, 271, 270, 777, 328, 7933, 1092, 286, 11034, 284, 1001, 278, 268, 4905, 268, 4905, 261, 754, 284, 1001, 278, 268, 4905, 268, 4029, 454, 8199, 1607, 786, 2132, 519, 13247, 1239, 585, 519, 3923, 540, 5130, 476, 1001, 278, 780, 1103, 713, 1770, 267, 649, 723, 4121, 875, 547, 946, 5124, 547, 2170, 609, 12240, 543, 23074, 1239, 1759, 593, 3593, 3403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4009, 540, 519, 2034, 1297, 269, 1403, 267, 585, 1383, 267, 1535, 910, 586, 568, 16611, 676, 1535, 1341, 586, 267, 519, 1647, 2474, 22599, 835, 1776, 269, 634, 1267, 568, 519, 4009, 540, 1535, 14263, 519, 4009, 540, 586, 267, 607, 3254, 538, 519, 1739, 14745, 281, 1635, 5329, 713, 4341, 538, 2247, 267, 519, 1587, 540, 519, 2040, 543, 3017, 540, 1079, 2338, 666, 581, 2854, 1524, 5612, 676, 1603, 519, 3017, 540, 519, 10945, 540, 519, 2338, 269, 1280, 1383, 267, 2015, 519, 1739, 1614, 2042, 281, 0, 1012, 18266, 23959, 692, 2162, 4804, 27159, 692, 1892, 28799, 5036, 1210, 29491, 7954, 267, 1210, 1697, 711, 725, 454, 1892, 2422, 6898, 543, 2783, 1023, 547, 2328, 543, 4612, 7215, 454, 1892, 2422, 513, 5168, 3349, 547, 4612, 1950, 6898, 610, 2783, 1023, 454, 1892, 3503, 5168, 7515, 2016, 513, 9266, 29943, 267, 543, 621, 779, 1644, 1109, 8063, 906, 1107, 598, 2091, 267, 11201, 267, 543, 15333, 27168, 454, 1892, 14419, 2436, 1079, 6898, 616, 25401, 6697, 454, 1892, 2422, 1546, 300, 6716, 779, 4031, 547, 5581, 9266, 5973, 1878, 540, 513, 3948, 692, 10303, 1950, 29491, 6898, 666, 1205, 16602, 547, 1589, 827, 267, 649, 666, 1711, 513, 5168, 3349, 547, 2736, 519, 1950, 3948, 883, 1109, 13678, 921, 6898, 267, 543, 3313, 2436, 789, 616, 3020, 610, 7301, 269, 589, 3349, 786, 948, 1832, 3950, 540, 782, 519, 5168, 2418, 540, 519, 2241, 6898, 602, 1118, 909, 513, 1950, 3948, 267, 3056, 547, 606, 2079, 540, 519, 2407, 3948, 780, 2162, 18266, 7305, 692, 288, 3349, 6029, 1018, 519, 4611, 5168, 1871, 540, 513, 1950, 3948, 568, 585, 782, 519, 2009, 5168, 2418, 585, 519, 2241, 6898, 780, 2162, 7151, 692, 22428, 596, 2461, 16116, 856, 513, 1007, 4172, 577, 267, 543, 707, 1713, 824, 3081, 968, 1326, 513, 3296, 531, 610, 1945, 609, 513, 11024, 1047, 1848, 20472, 513, 5168, 3349, 602, 6257, 519, 2609, 540, 519, 2175, 540, 713, 3948, 543, 2436, 519, 2175, 616, 1558, 780, 5278, 6698, 602, 616, 4122, 1031, 585, 543, 267, 610, 267, 543, 711, 1118, 1210, 513, 5168, 3349, 4443, 780, 2162, 29062, 692, 763, 3090, 4399, 342, 8354, 259, 568, 1031, 585, 543, 281, 589, 543, 645, 568, 711, 730, 1269, 288, 315, 342, 8354, 346, 289, 31859, 763, 3090, 4399, 557, 324, 259, 568, 1031, 585, 610, 281, 589, 610, 645, 568, 711, 730, 1269, 288, 315, 557, 324, 346, 289, 10592, 763, 3090, 4399, 13678, 259, 568, 1031, 585, 711, 281, 711, 589, 568, 711, 730, 4399, 13678, 31505, 10592, 2791, 666, 3314, 519, 1101, 1079, 6698, 676, 11341, 873, 547, 519, 5546, 585, 519, 9769, 543, 10167, 269, 1269, 288, 315, 342, 8354, 346, 289, 4151, 1109, 30524, 581, 519, 2609, 602, 2291, 538, 1312, 5036, 267, 538, 1269, 288, 315, 5115, 346, 289, 23201, 19452, 267, 1269, 288, 315, 557, 324, 346, 289, 4151, 1109, 30524, 581, 519, 2609, 602, 2291, 538, 2901, 1305, 267, 538, 1269, 288, 315, 24189, 346, 289, 4151, 563, 1103, 519, 3105, 1383, 267, 519, 5168, 3349, 729, 2731, 1175, 28388, 1018, 649, 2907, 917, 827, 875, 519, 610, 3948, 960, 269, 634, 5168, 7515, 585, 519, 2596, 543, 267, 610, 267, 543, 711, 6898, 616, 3254, 2630, 780, 2162, 9978, 18266, 23959, 692, 288, 645, 1269, 288, 315, 342, 8354, 346, 289, 21456, 307, 570, 570, 454, 307, 674, 674, 454, 293, 570, 674, 454, 293, 674, 674, 454, 288, 645, 1269, 288, 315, 557, 324, 346, 289, 21456, 307, 570, 570, 454, 307, 674, 570, 454, 293, 570, 570, 454, 293, 674, 674, 454, 288, 4399, 13678, 31505, 21456, 307, 674, 454, 293, 570, 692, 2162, 8347, 898, 692, 23871, 3578, 7515, 2731, 1831, 3730, 950, 7421, 811, 1950, 29491, 6898, 780, 2162, 7151, 692, 8620, 513, 5168, 3349, 585, 519, 3948, 1269, 288, 315, 342, 8354, 315, 13678, 13375, 16360, 315, 557, 324, 346, 290, 4153, 2431, 22491, 2162, 8347, 898, 692, 2691, 649, 5941, 2175, 4505, 267, 649, 5941, 519, 1826, 1141, 649, 1491, 606, 2962, 1759, 593, 519, 1871, 540, 519, 2783, 269, 1284, 616, 1631, 2469, 547, 2911, 827, 513, 811, 2489, 4528, 540, 513, 19585, 267, 3006, 1572, 606, 29943, 780, 2162, 20480, 692, 3412, 4124, 616, 9266, 19585, 5220, 17548, 602, 513, 3948, 533, 267, 1572, 519, 24970, 1027, 550, 267, 10522, 513, 12343, 7117, 780, 3412, 4124, 616, 4122, 2854, 607, 1269, 335, 9368, 5535, 346, 336, 10592, 3412, 4124, 616, 2147, 547, 519, 19585, 6898, 649, 6743, 693, 4505, 282, 1269, 335, 9368, 5535, 346, 336, 4151, 568, 3335, 2854, 607, 968, 604, 533, 1287, 7117, 2223, 610, 968, 335, 4061, 7117, 1848, 634, 3017, 1063, 6286, 543, 2783, 1023, 568, 602, 2783, 1023, 649, 5941, 4505, 2303, 606, 2962, 1765, 604, 519, 2783, 568, 3020, 267, 1287, 649, 1491, 930, 2962, 607, 513, 1267, 269, 20480, 616, 513, 9266, 3948, 602, 2303, 602, 519, 12343, 1590, 25401, 1246, 952, 519, 24970, 1027, 550, 568, 3020, 780, 2162, 7151, 692, 763, 2296, 3948, 968, 2252, 621, 568, 986, 1456, 267, 1287, 972, 616, 12269, 568, 519, 6607, 892, 568, 513, 9266, 29943, 269, 1772, 713, 513, 4570, 4661, 267, 1946, 610, 1946, 711, 2496, 30860, 602, 519, 3948, 6645, 721, 4986, 540, 1018, 547, 2503, 952, 621, 568, 711, 986, 1456, 269, 1403, 519, 24970, 1027, 550, 568, 7301, 267, 1287, 519, 29943, 3587, 13061, 780, 2162, 7151, 692, 288, 3659, 6645, 596, 602, 968, 604, 596, 14202, 602, 4605, 547, 9365, 267, 596, 3580, 6336, 707, 2816, 1848, 14674, 519, 2009, 4093, 1644, 547, 713, 3948, 267, 543, 3313, 2436, 707, 3659, 779, 3948, 568, 23380, 780, 1103, 2757, 7954, 267, 606, 29943, 568, 2808, 4570, 630, 25152, 264, 607, 1279, 607, 972, 616, 1100, 2665, 538, 799, 519, 24970, 1027, 550, 568, 3020, 543, 519, 12343, 568, 7301, 269, 898, 568, 1271, 547, 1832, 538, 2247, 602, 12572, 7954, 3112, 7001, 782, 519, 14960, 540, 519, 2296, 1893, 780, 2162, 18266, 18880, 585, 20480, 692, 533, 7117, 533, 9890, 7117, 570, 570, 570, 570, 674, 674, 674, 570, 570, 674, 674, 570, 692, 2162, 7151, 692, 17746, 1192, 513, 5168, 3349, 585, 519, 3948, 4399, 3847, 9852, 315, 342, 8354, 315, 13678, 22669, 4153, 2431, 9385, 21375, 346, 337, 10592, 2162, 8347, 898, 692, 2690, 1022, 29943, 267, 972, 616, 1614, 1644, 6898, 267, 519, 598, 2091, 267, 519, 11201, 267, 543, 519, 15333, 27168, 780, 2162, 13565, 32276, 692, 763, 3312, 29943, 568, 968, 604, 533, 1287, 7117, 27535, 1269, 335, 9368, 5535, 346, 336, 10592, 763, 598, 2091, 568, 968, 604, 7117, 1287, 533, 27535, 1269, 336, 9368, 5535, 22669, 10592, 763, 11201, 568, 968, 604, 711, 533, 1287, 711, 7117, 27535, 4399, 13678, 22669, 4153, 21375, 315, 13678, 346, 336, 10592, 763, 15333, 27168, 568, 968, 604, 711, 7117, 1287, 711, 533, 27535, 4399, 13678, 346, 336, 4153, 21375, 22669, 10592, 2162, 7151, 692, 13706, 1586, 519, 4570, 29943, 968, 2252, 621, 568, 986, 1456, 267, 1287, 972, 616, 12269, 538, 519, 6607, 14325, 2237, 519, 1644, 598, 2091, 267, 11201, 267, 543, 15333, 27168, 6898, 780, 2162, 8347, 898, 692, 19185, 693, 5168, 7515, 267, 649, 666, 1294, 602, 519, 3312, 19585, 543, 519, 15333, 27168, 616, 25401, 6697, 267, 543, 602, 519, 598, 2091, 543, 11201, 616, 25401, 6697, 780, 3412, 6473, 1230, 2091, 769, 2091, 2552, 571, 27168, 454, 335, 7117, 1269, 335, 9368, 5535, 346, 336, 4151, 1269, 336, 3189, 21375, 348, 335, 259, 4399, 13678, 22669, 4153, 21375, 315, 13678, 346, 336, 4151, 4399, 13678, 346, 336, 4153, 21375, 315, 13678, 22669, 21456, 307, 570, 570, 570, 570, 570, 454, 307, 674, 674, 570, 570, 674, 454, 293, 570, 570, 674, 674, 570, 454, 293, 674, 570, 570, 570, 570, 692, 2162, 4982, 2526, 775, 692, 288, 19585, 3948, 543, 922, 15333, 27168, 616, 25401, 6697, 780, 763, 598, 2091, 543, 11201, 540, 513, 3948, 616, 25401, 6697, 269, 0, 290, 12973, 692, 258, 4530, 281, 14330, 17988, 630, 3080, 610, 2859, 22043, 26840, 2567, 5082, 11424, 1473, 25934, 1299, 10201, 908, 7351, 1923, 808, 7417, 11628, 692, 1012, 476, 1321, 5999, 14330, 304, 4530, 8212, 476, 3374, 13012, 808, 7417, 6301, 1299, 11628, 12815, 1032, 14430, 1923, 4530, 281, 14330, 17988, 630, 3080, 610, 2859, 22043, 26840, 2567, 5082, 11424, 1473, 25934, 1299, 10201, 908, 7351, 1923, 808, 7417, 11628, 692, 20373, 454, 16920, 3319, 4530, 281, 14330, 17988, 630, 3080, 610, 2859, 22043, 26840, 2567, 5082, 11424, 1473, 25934, 1299, 10201, 908, 7351, 1923, 808, 7417, 11628, 1923, 476, 1321, 2055, 538, 476, 736, 3764, 1923, 631, 1442, 1449, 585, 808, 7417, 7041, 1923, 5131, 1271, 2055, 14330, 304, 547, 1353, 8212, 476, 3374, 13012, 808, 7417, 6301, 1299, 11628, 12815, 1032, 14430, 585, 808, 7417, 11929, 1923, 8281, 1863, 7300, 609, 3435, 454, 265, 21296, 3681, 666, 581, 2953, 454, 27309, 3582, 281, 476, 272, 692, 2162, 700, 267, 595, 543, 681, 2099, 519, 2168, 9424, 32366, 766, 267, 31887, 543, 4187, 6606, 269, 6904, 540, 519, 1739, 10659, 723, 7516, 540, 4908, 2496, 11405, 1384, 17395, 312, 12164, 4753, 8976, 2433, 634, 6419, 2361, 1813, 547, 513, 1699, 13576, 538, 513, 5911, 540, 13113, 3259, 568, 2016, 676, 692, 28274, 519, 1657, 4542, 585, 9474, 585, 4466, 519, 2361, 693, 744, 267, 649, 1205, 692, 716, 532, 13902, 547, 519, 7077, 540, 1957, 20733, 692, 30043, 634, 2698, 6419, 2361, 1813, 547, 1699, 13576, 998, 13235, 291, 568, 692, 763, 2698, 13441, 8429, 998, 519, 4009, 31246, 21203, 692, 314, 4501, 369, 21508, 497, 1109, 285, 700, 543, 4061, 267, 645, 666, 581, 10924, 3586, 585, 21508, 497, 273, 6540, 763, 13441, 998, 1507, 4009, 8520, 568, 2047, 14354, 547, 519, 1699, 8429, 998, 2462, 4009, 8520, 780, 30043, 26420, 273, 3980, 507, 594, 272, 2340, 18568, 26420, 815, 24696, 272, 1141, 631, 815, 23688, 783, 18430, 766, 692, 265, 21296, 3681, 666, 581, 2953, 454, 27309, 3582, 281, 476, 273, 692, 2162, 589, 10647, 4009, 8520, 540, 2427, 700, 543, 4187, 681, 7575, 538, 922, 7077, 609, 513, 7833, 6991, 642, 13902, 547, 835, 540, 922, 5011, 269, 589, 6419, 15632, 645, 267, 3586, 538, 942, 543, 476, 1109, 11898, 267, 15738, 13902, 543, 883, 519, 7077, 540, 519, 8520, 6818, 10876, 269, 634, 1699, 13251, 538, 519, 8520, 568, 1384, 11405, 1384, 27237, 292, 2433, 4595, 519, 2557, 540, 1689, 540, 6419, 13441, 568, 4642, 267, 8754, 972, 786, 581, 476, 1109, 7224, 2121, 13251, 900, 325, 543, 8754, 1100, 1699, 13576, 538, 519, 8520, 780, 265, 21296, 3681, 666, 581, 2953, 454, 27309, 3582, 281, 476, 274, 692, 2162, 5565, 1114, 27810, 723, 1582, 2987, 2265, 1734, 700, 272, 815, 476, 279, 544, 295, 543, 700, 273, 815, 476, 273, 544, 295, 269, 634, 1699, 538, 835, 16509, 568, 2799, 693, 513, 3586, 2557, 269, 634, 1699, 538, 519, 2034, 16509, 568, 849, 2799, 693, 519, 1482, 3586, 2557, 269, 2311, 513, 1978, 8216, 540, 942, 267, 519, 1379, 2016, 547, 519, 1079, 27810, 568, 519, 1482, 269, 2311, 602, 942, 267, 519, 1699, 267, 519, 13251, 6453, 543, 519, 1648, 6740, 538, 519, 1101, 16509, 616, 1775, 272, 267, 966, 272, 543, 654, 272, 6606, 269, 4856, 22046, 532, 2418, 585, 519, 2034, 16509, 693, 519, 1482, 8216, 616, 1775, 273, 267, 966, 273, 543, 654, 273, 6606, 269, 3973, 1384, 11405, 1384, 31948, 540, 1689, 540, 1699, 692, 5715, 340, 1027, 900, 325, 692, 20175, 476, 1109, 303, 815, 966, 273, 1775, 273, 815, 476, 273, 6398, 476, 1015, 1107, 274, 6398, 544, 6398, 1775, 273, 692, 7712, 5295, 568, 3160, 692, 30043, 476, 279, 6398, 476, 1015, 1107, 476, 274, 6398, 11465, 272, 815, 476, 273, 6398, 1015, 1107, 476, 274, 11465, 273, 692, 1862, 263, 328, 2020, 265, 21296, 3681, 666, 581, 2953, 454, 27309, 3582, 281, 476, 275, 692, 288, 1507, 4009, 8520, 540, 5911, 540, 2427, 561, 568, 5116, 3330, 513, 1804, 4009, 8520, 540, 5911, 540, 2427, 700, 27331, 9563, 331, 1040, 634, 17787, 616, 1071, 13807, 534, 541, 543, 741, 18013, 14626, 728, 269, 634, 8994, 32366, 766, 540, 519, 1062, 568, 14354, 547, 692, 11405, 1384, 17395, 312, 12164, 4753, 8976, 2433, 634, 6419, 2361, 1813, 547, 513, 1699, 13576, 538, 513, 5911, 540, 13113, 3259, 568, 2016, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2711, 994, 825, 15279, 1228, 31565, 815, 834, 4840, 825, 2942, 815, 8771, 454, 825, 952, 8918, 2999, 476, 271, 912, 1038, 2942, 815, 6936, 454, 1038, 8918, 2608, 284, 910, 272, 454, 825, 1247, 8918, 3436, 476, 271, 912, 1038, 8918, 267, 14230, 815, 2820, 7116, 263, 20657, 2711, 267, 476, 1626, 994, 1038, 15279, 1228, 31565, 815, 2418, 314, 8145, 664, 1457, 316, 1341, 15279, 1228, 31565, 454, 825, 15279, 1228, 31565, 815, 834, 271, 343, 257, 1341, 15279, 1228, 31565, 454, 825, 952, 2942, 912, 1038, 15279, 1228, 31565, 815, 29038, 257, 1341, 15279, 1228, 31565, 454, 825, 2132, 15279, 1228, 31565, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1104, 11705, 652, 692, 825, 11705, 652, 6745, 652, 7116, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18140, 1154, 13038, 25159, 692, 258, 4595, 649, 616, 1210, 561, 332, 7120, 3890, 1631, 267, 649, 666, 1413, 693, 519, 811, 1950, 4205, 540, 1239, 563, 258, 634, 1239, 1305, 689, 3105, 1383, 2882, 13664, 1344, 676, 1533, 543, 1858, 269, 898, 1522, 581, 4277, 547, 1294, 454, 258, 952, 972, 568, 513, 3017, 538, 3347, 1759, 593, 519, 16323, 540, 519, 2197, 563, 7531, 258, 2422, 561, 332, 7120, 3890, 547, 1413, 693, 519, 2078, 1063, 6142, 9078, 1601, 525, 543, 14167, 338, 563, 258, 1948, 18140, 513, 9695, 1899, 585, 1142, 16323, 540, 519, 2197, 563, 338, 985, 7456, 332, 7120, 16597, 284, 4206, 267, 1535, 6889, 1231, 4269, 9078, 1601, 525, 2580, 586, 6889, 2181, 26606, 338, 2580, 27280, 6889, 8802, 542, 15419, 10823, 20481, 4590, 0, 258, 12861, 13340, 1773, 1824, 692, 5814, 21267, 28272, 607, 12301, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 10797, 258, 8073, 513, 4216, 7120, 602, 3568, 519, 834, 3891, 697, 257, 6241, 585, 544, 839, 318, 8089, 593, 519, 2451, 454, 258, 543, 544, 839, 14682, 2096, 333, 10415, 593, 519, 1318, 563, 1314, 269, 7901, 7120, 8443, 332, 839, 318, 8089, 9131, 3891, 697, 28710, 332, 839, 14682, 2096, 333, 10415, 9131, 3891, 697, 11172, 20285, 258, 5410, 1535, 14289, 8743, 10297, 281, 834, 305, 12976, 257, 543, 834, 294, 2096, 333, 10415, 8487, 1314, 15630, 318, 868, 1157, 18350, 1564, 8443, 262, 305, 12976, 12887, 294, 2096, 333, 10415, 11172, 2020, 258, 5410, 513, 586, 14289, 6003, 281, 834, 3891, 697, 630, 9492, 264, 8487, 1314, 15630, 318, 29786, 3488, 3891, 697, 630, 9492, 264, 17210, 10823, 20481, 4590, 0, 258, 18140, 942, 1606, 7685, 1239, 692, 5814, 21267, 28272, 607, 12301, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 10797, 258, 5410, 519, 1239, 689, 2916, 318, 4219, 547, 519, 4729, 281, 946, 519, 4578, 20988, 4994, 585, 519, 1535, 1871, 543, 454, 258, 519, 834, 7758, 894, 4671, 11391, 257, 6241, 585, 519, 586, 2418, 563, 1314, 19502, 263, 30873, 318, 4219, 28827, 267, 2916, 318, 4219, 9131, 7758, 894, 4671, 11391, 11172, 2020, 258, 5590, 519, 1535, 14289, 6003, 454, 1314, 15630, 13448, 16932, 3488, 11742, 17210, 258, 5590, 519, 586, 14289, 6003, 454, 1314, 15630, 318, 29786, 3488, 9824, 894, 2837, 630, 290, 16364, 264, 17210, 258, 8058, 519, 4137, 454, 10823, 20481, 3890, 0, 258, 590, 997, 532, 667, 919, 630, 11742, 10022, 2020, 258, 590, 997, 532, 568, 3226, 3730, 585, 942, 3126, 2094, 621, 781, 513, 1455, 3364, 547, 1616, 547, 6882, 585, 454, 258, 1239, 1369, 513, 4266, 2039, 269, 5410, 519, 4266, 6241, 547, 519, 4994, 267, 1287, 946, 1547, 32643, 26514, 547, 1685, 519, 454, 258, 15410, 1154, 269, 634, 1271, 3364, 547, 3314, 568, 547, 1832, 707, 7389, 538, 18869, 476, 279, 2568, 272, 3898, 2676, 258, 602, 568, 267, 586, 344, 344, 344, 2173, 332, 1673, 323, 780, 258, 31962, 602, 596, 666, 9192, 2789, 29491, 2175, 1210, 9266, 12427, 630, 7945, 607, 1299, 1040, 1677, 798, 454, 258, 865, 538, 835, 1899, 540, 3009, 267, 596, 3513, 991, 547, 1039, 24324, 20465, 1472, 1142, 2783, 780, 5814, 21795, 607, 19073, 692, 258, 2422, 29491, 2175, 630, 2254, 1547, 529, 514, 3890, 610, 1547, 32643, 314, 8079, 547, 15410, 585, 9343, 538, 476, 1001, 271, 543, 476, 1001, 272, 2676, 258, 543, 1820, 519, 2164, 454, 339, 655, 704, 2137, 10734, 944, 815, 5210, 27007, 339, 655, 704, 2137, 14277, 11845, 19312, 13843, 834, 1001, 271, 268, 4905, 268, 4905, 8442, 1299, 630, 339, 655, 704, 2137, 14277, 11845, 19312, 10922, 834, 1001, 272, 268, 1321, 268, 4029, 8442, 2639, 2745, 6025, 655, 704, 2137, 10734, 944, 994, 258, 8074, 602, 1317, 519, 4266, 3884, 1405, 1305, 607, 606, 4994, 267, 513, 2783, 602, 3568, 1152, 513, 1032, 267, 971, 607, 454, 258, 17093, 14277, 11845, 19312, 2652, 834, 1220, 280, 2580, 786, 2638, 952, 519, 4266, 568, 3160, 547, 519, 1101, 1554, 540, 519, 1101, 3923, 540, 519, 454, 258, 1032, 630, 324, 3052, 269, 476, 1220, 280, 268, 4905, 268, 4905, 1070, 2864, 982, 10992, 2436, 519, 4266, 4386, 1369, 519, 2016, 1032, 563, 258, 898, 568, 5227, 547, 2328, 856, 519, 2407, 4266, 950, 1210, 29491, 2175, 630, 324, 3052, 1421, 476, 1220, 280, 268, 1321, 268, 4029, 1916, 258, 4427, 3553, 1154, 3842, 29491, 2175, 3217, 519, 1106, 17093, 27007, 935, 1288, 272, 264, 1299, 630, 935, 1288, 273, 264, 6540, 258, 5590, 4266, 607, 606, 4994, 543, 4990, 519, 4994, 454, 258, 2422, 1547, 3553, 16229, 3890, 547, 1305, 519, 4994, 267, 4553, 676, 1547, 338, 677, 16229, 3890, 547, 4990, 519, 4994, 563, 339, 655, 704, 2137, 318, 785, 815, 5210, 15630, 16229, 2891, 11845, 20257, 338, 677, 16229, 10797, 258, 4427, 3553, 1154, 3842, 1547, 32643, 26514, 3217, 519, 1106, 17093, 14277, 14140, 9899, 257, 18431, 31116, 258, 2422, 1547, 32643, 26514, 547, 15410, 5210, 318, 785, 585, 9343, 538, 476, 1001, 271, 543, 476, 1001, 272, 454, 2745, 6025, 655, 704, 2137, 318, 785, 7456, 665, 14277, 1001, 271, 9899, 257, 1001, 272, 19312, 2020, 258, 2422, 1547, 32643, 26514, 547, 15410, 5210, 318, 785, 585, 9343, 689, 4119, 476, 1001, 271, 547, 4924, 476, 1001, 272, 454, 2745, 6025, 655, 704, 2137, 318, 785, 7456, 665, 14277, 1001, 271, 268, 5400, 9899, 257, 1001, 272, 268, 6349, 257, 8079, 0, 258, 21744, 519, 13910, 540, 2480, 2660, 18140, 18745, 692, 258, 7383, 32287, 543, 1530, 629, 1941, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 692, 258, 2422, 882, 7120, 3890, 543, 519, 544, 17989, 4578, 20988, 547, 1711, 513, 14649, 4729, 609, 834, 659, 5120, 566, 257, 593, 519, 1535, 14289, 543, 834, 5404, 326, 257, 593, 454, 258, 519, 586, 14289, 269, 966, 776, 519, 2511, 543, 2681, 540, 519, 4729, 2798, 676, 2197, 540, 5169, 9497, 10594, 514, 257, 1916, 338, 985, 269, 7758, 7120, 3287, 8782, 659, 5120, 566, 3299, 586, 8782, 5404, 326, 3299, 1239, 284, 5404, 326, 267, 2186, 8782, 2675, 2660, 3299, 27280, 8782, 10594, 514, 3299, 2511, 8782, 10594, 514, 5073, 0, 258, 20223, 513, 1599, 602, 13602, 942, 1606, 7685, 1239, 692, 5814, 21267, 28272, 607, 12301, 692, 258, 16294, 513, 1599, 1572, 4729, 4671, 1307, 7685, 602, 3217, 607, 3403, 606, 16547, 525, 1843, 630, 31320, 1070, 1239, 630, 343, 11971, 13211, 258, 513, 5569, 609, 519, 2012, 540, 513, 2681, 543, 12673, 585, 1535, 268, 543, 586, 14289, 10297, 563, 3698, 4729, 4671, 1307, 7685, 263, 31320, 267, 1535, 267, 586, 267, 2681, 267, 1535, 16932, 267, 586, 16932, 17107, 258, 18140, 586, 607, 513, 1599, 540, 538, 519, 2681, 3177, 607, 519, 3403, 2681, 563, 825, 17887, 19502, 3287, 267, 586, 267, 2681, 284, 10233, 2020, 258, 5590, 519, 1535, 268, 543, 586, 14289, 10297, 1210, 519, 3177, 3403, 1535, 16932, 543, 586, 16932, 2676, 258, 4259, 519, 586, 14289, 6003, 2681, 1210, 2681, 563, 825, 17887, 15630, 13448, 16932, 3287, 16932, 994, 825, 17887, 15630, 318, 29786, 263, 29786, 267, 2681, 284, 10233, 2020, 258, 5590, 519, 586, 14289, 8743, 6724, 1210, 519, 8743, 318, 1706, 4461, 1505, 540, 519, 16547, 525, 1843, 2676, 258, 4259, 519, 4778, 1883, 30087, 547, 2681, 563, 825, 17887, 6745, 1157, 318, 1706, 4461, 3488, 344, 3299, 4778, 284, 10233, 9239, 258, 8943, 782, 538, 835, 979, 912, 3698, 4729, 4671, 1307, 7685, 263, 31320, 267, 1535, 267, 586, 267, 2681, 267, 1535, 16932, 267, 586, 16932, 2187, 476, 17887, 19502, 3287, 267, 586, 267, 2681, 284, 10233, 994, 476, 17887, 15630, 13448, 16932, 3287, 16932, 994, 476, 17887, 15630, 318, 29786, 263, 29786, 267, 2681, 284, 10233, 994, 476, 17887, 6745, 1157, 318, 1706, 4461, 3488, 344, 3299, 4778, 284, 10233, 994, 567, 0, 258, 14825, 622, 2659, 10439, 1436, 692, 5814, 21267, 28272, 607, 12301, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 10797, 258, 594, 614, 622, 936, 519, 2418, 540, 5026, 4259, 7328, 607, 707, 8520, 4756, 563, 258, 769, 1142, 21767, 267, 1349, 519, 9343, 1141, 519, 834, 306, 1636, 257, 6241, 568, 3160, 547, 7328, 563, 258, 5410, 513, 3046, 547, 519, 3177, 4949, 1843, 267, 13042, 609, 519, 7328, 2012, 267, 609, 519, 1611, 540, 454, 258, 519, 834, 26574, 257, 6241, 607, 922, 4463, 267, 543, 519, 3044, 11539, 607, 513, 586, 14289, 5470, 3046, 780, 258, 31230, 936, 519, 1114, 5026, 8371, 454, 1721, 7328, 538, 5026, 912, 825, 1948, 6987, 847, 519, 9343, 1152, 585, 713, 7328, 454, 825, 7328, 32470, 815, 4832, 318, 1001, 277, 318, 4364, 1023, 314, 8999, 1067, 318, 1001, 277, 318, 4364, 1023, 9131, 306, 1636, 11172, 2652, 7328, 2639, 825, 1948, 5410, 513, 3046, 585, 519, 834, 26574, 257, 1611, 609, 31901, 586, 5470, 3046, 454, 825, 4949, 269, 8663, 4433, 1636, 267, 7328, 32470, 9131, 26574, 262, 4940, 11743, 19572, 586, 20482, 284, 338, 1636, 32470, 9131, 26574, 262, 4940, 560, 323, 31156, 1314, 15630, 318, 29786, 2891, 26574, 5602, 1314, 15630, 318, 868, 1157, 18350, 1564, 4433, 7964, 267, 10047, 284, 3445, 2020, 258, 16440, 519, 4137, 547, 3758, 543, 1397, 519, 4137, 563, 14808, 4732, 1511, 14808, 3488, 338, 7964, 318, 30135, 26666, 5073, 10823, 20481, 3890, 0, 258, 31478, 5681, 332, 2456, 692, 258, 634, 1547, 12000, 3890, 1505, 2636, 596, 547, 4019, 707, 1378, 2688, 3252, 547, 513, 4578, 20988, 267, 607, 1134, 607, 454, 258, 4019, 3252, 547, 811, 982, 835, 6241, 540, 513, 4578, 20988, 693, 2899, 267, 1818, 707, 10015, 725, 454, 258, 2706, 18026, 269, 16522, 1314, 2630, 912, 258, 17093, 9131, 26383, 262, 4940, 12000, 6600, 4233, 2020, 5814, 21795, 607, 19073, 7531, 258, 589, 2688, 954, 6709, 691, 850, 2039, 630, 296, 304, 305, 264, 1599, 568, 2139, 585, 803, 547, 946, 563, 3698, 1775, 336, 337, 263, 26383, 2187, 825, 2132, 6241, 269, 31642, 850, 263, 271, 269, 4037, 264, 910, 6241, 269, 31642, 850, 263, 271, 269, 1839, 9239, 258, 7179, 21842, 305, 540, 519, 2837, 6831, 6241, 540, 519, 6455, 4578, 20988, 454, 2745, 4433, 2297, 9131, 339, 17687, 6831, 262, 4940, 12000, 9217, 336, 337, 11723, 258, 22352, 547, 1820, 21842, 305, 540, 2837, 6831, 267, 4492, 318, 23748, 318, 639, 323, 30648, 9078, 267, 1299, 13864, 454, 2745, 4433, 2297, 314, 14277, 339, 17687, 6831, 2580, 1412, 325, 3241, 318, 23748, 318, 639, 323, 30648, 9078, 3299, 1412, 684, 655, 7877, 11172, 4940, 12000, 9217, 336, 337, 11723, 258, 22352, 547, 1820, 21842, 305, 543, 11667, 540, 2837, 6831, 267, 4492, 318, 23748, 318, 639, 323, 30648, 9078, 267, 1299, 13864, 454, 2745, 4433, 2297, 314, 14277, 339, 17687, 6831, 2580, 834, 325, 3241, 318, 23748, 318, 639, 323, 30648, 9078, 2580, 834, 684, 655, 7877, 19312, 4940, 12000, 8443, 28999, 337, 267, 5286, 269, 4364, 1014, 28413, 258, 5286, 269, 4364, 1014, 568, 513, 21795, 1599, 0, 258, 10439, 1944, 3044, 11539, 609, 1899, 13602, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 692, 258, 7827, 519, 4729, 865, 519, 26484, 1858, 2982, 519, 3044, 11539, 3079, 540, 519, 6015, 8884, 585, 519, 1611, 563, 338, 985, 269, 7758, 7120, 3287, 6889, 16347, 14729, 792, 2580, 586, 6889, 5404, 326, 2580, 1239, 284, 5404, 326, 267, 2186, 6889, 1467, 2580, 524, 328, 8782, 338, 323, 5073, 258, 524, 328, 815, 30151, 3955, 1998, 267, 521, 323, 815, 9208, 8061, 2747, 692, 10823, 20481, 3890, 0, 258, 670, 826, 543, 4032, 1773, 1824, 692, 258, 7383, 32287, 543, 1530, 629, 1941, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 692, 258, 19130, 538, 519, 29984, 22674, 832, 8675, 547, 4786, 519, 834, 305, 1116, 257, 4087, 1871, 454, 258, 547, 519, 2681, 834, 13582, 257, 543, 519, 834, 31413, 257, 4087, 1871, 547, 519, 2681, 834, 19990, 8487, 25659, 8291, 22674, 832, 815, 27835, 305, 1116, 9166, 834, 13582, 2580, 1412, 31413, 9166, 834, 19990, 257, 10926, 258, 8073, 513, 1293, 4729, 540, 1153, 609, 4087, 1016, 25364, 454, 338, 985, 29644, 7120, 3287, 8782, 25217, 3299, 1239, 284, 30700, 12774, 267, 27280, 8782, 331, 6327, 3299, 29984, 284, 25659, 8291, 22674, 832, 2020, 692, 258, 18224, 4729, 454, 10823, 20481, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4365, 993, 601, 12727, 1975, 784, 563, 15709, 308, 3951, 4903, 12727, 14803, 2173, 1421, 4012, 2173, 563, 295, 3198, 9169, 267, 1590, 3180, 9221, 609, 1312, 267, 1247, 281, 23172, 1421, 18664, 1421, 21563, 1421, 524, 574, 545, 1421, 667, 4592, 1421, 552, 1575, 12656, 1421, 737, 516, 657, 1421, 24271, 1421, 28571, 2173, 1421, 28571, 1606, 1421, 943, 657, 1421, 694, 335, 563, 268, 8066, 8486, 540, 7181, 993, 601, 12727, 595, 10635, 1421, 546, 4592, 563, 268, 17737, 993, 601, 12727, 1230, 563, 268, 1590, 3180, 2212, 609, 281, 12137, 322, 269, 630, 5141, 541, 651, 1916, 268, 1590, 3180, 1449, 525, 593, 23472, 281, 13058, 269, 630, 5141, 541, 651, 1916, 21201, 595, 3918, 4456, 267, 693, 1101, 993, 601, 1421, 1287, 4903, 12727, 1488, 338, 3620, 563, 298, 20911, 5085, 5058, 267, 609, 3068, 4724, 10788, 578, 993, 601, 12727, 661, 1575, 12656, 563, 25278, 3036, 267, 1739, 2352, 267, 610, 16377, 267, 609, 1394, 5995, 543, 17570, 281, 918, 8932, 2275, 563, 299, 16898, 9569, 267, 1282, 281, 12113, 337, 563, 268, 3946, 543, 19704, 593, 267, 993, 601, 12727, 661, 1575, 12656, 563, 268, 1152, 593, 14084, 281, 6970, 755, 563, 268, 1152, 950, 14084, 1524, 282, 729, 8078, 539, 547, 1694, 909, 543, 11522, 621, 856, 267, 1287, 1185, 1964, 281, 1230, 563, 268, 3068, 267, 1390, 678, 3430, 1782, 540, 22024, 267, 799, 5526, 547, 581, 1970, 1524, 538, 9221, 267, 1247, 11522, 1281, 711, 3100, 547, 3914, 972, 267, 1152, 547, 11563, 1790, 527, 267, 18867, 2182, 11522, 1281, 711, 3914, 943, 5586, 332, 8259, 646, 9114, 593, 1010, 3068, 950, 646, 6770, 909, 513, 3039, 880, 3917, 3641, 610, 513, 12779, 3039, 880, 3917, 3641, 15074, 11294, 748, 22024, 1510, 6492, 2433, 2405, 563, 300, 6579, 298, 4903, 12727, 2549, 1962, 1421, 1884, 2275, 1421, 1884, 2389, 1421, 28538, 1421, 737, 8932, 2275, 1421, 29008, 1421, 521, 592, 14092, 1421, 13058, 563, 19616, 3582, 4903, 12727, 4028, 2433, 14844, 2173, 1421, 24421, 563, 300, 4785, 2975, 4903, 12727, 2549, 1962, 1421, 18287, 1421, 9106, 1421, 737, 8932, 2275, 1421, 737, 516, 657, 1421, 943, 14092, 563, 17472, 30990, 4903, 12727, 23172, 1421, 943, 14092, 563, 7495, 27633, 267, 2178, 281, 1912, 657, 1421, 521, 592, 14092, 563, 18444, 3198, 302, 267, 950, 4730, 281, 2549, 1962, 1421, 2836, 322, 1421, 9106, 1421, 737, 8932, 2275, 1421, 737, 516, 657, 1421, 943, 14092, 563, 303, 5588, 2969, 302, 2464, 267, 4903, 12727, 1325, 636, 563, 303, 3918, 294, 2793, 10998, 312, 267, 1282, 281, 2836, 322, 1421, 1309, 755, 1421, 598, 1421, 28258, 1421, 737, 8932, 1532, 337, 1421, 562, 5060, 2173, 1421, 943, 657, 1421, 24421, 1421, 26453, 514, 1421, 694, 335, 1421, 642, 756, 563, 3918, 4696, 5058, 267, 16965, 281, 2549, 3630, 1421, 546, 4592, 1421, 631, 836, 1421, 544, 32397, 1421, 562, 5060, 8686, 1421, 1912, 657, 1421, 588, 2335, 1421, 8685, 563, 6938, 3041, 3633, 267, 1126, 1590, 581, 267, 4991, 4544, 538, 3068, 267, 3112, 17938, 1446, 281, 631, 32397, 563, 306, 3201, 307, 1426, 281, 1325, 636, 1421, 598, 1421, 561, 778, 563, 306, 3951, 24505, 267, 1590, 543, 11522, 621, 856, 267, 950, 1185, 1964, 281, 1230, 563, 15551, 10498, 292, 540, 782, 5686, 4903, 12727, 661, 25045, 337, 1421, 6497, 563, 306, 21788, 1426, 281, 4165, 2275, 1421, 28538, 1421, 561, 778, 1421, 28571, 2173, 1421, 562, 5060, 8686, 1421, 694, 335, 1421, 20962, 563, 9915, 305, 5058, 306, 909, 267, 1126, 267, 543, 804, 902, 547, 1346, 1472, 282, 7125, 585, 948, 538, 513, 11876, 12838, 5639, 267, 536, 1742, 18807, 543, 30230, 1186, 693, 561, 28449, 281, 4165, 2389, 563, 4306, 302, 5357, 306, 267, 7928, 267, 993, 601, 12727, 11370, 325, 334, 563, 4306, 3036, 300, 267, 1354, 281, 1912, 657, 563, 268, 19711, 267, 1354, 281, 1912, 657, 1421, 3623, 563, 22552, 20315, 8991, 267, 1126, 11522, 338, 693, 8289, 540, 281, 2549, 1962, 1421, 818, 338, 1421, 3046, 2275, 1421, 943, 657, 563, 4306, 3918, 307, 6224, 5058, 856, 519, 7916, 281, 10370, 322, 563, 24746, 294, 2752, 4903, 12727, 2098, 4532, 563, 268, 993, 601, 12727, 590, 17139, 563, 306, 7419, 267, 4903, 12727, 4165, 2389, 1421, 9279, 320, 563, 306, 7838, 11266, 30990, 267, 6126, 4903, 12727, 589, 935, 1421, 24271, 563, 14684, 292, 4953, 10933, 2969, 306, 4903, 12727, 2405, 1421, 29008, 1421, 13058, 563, 307, 12788, 4903, 12727, 12113, 337, 1421, 29008, 563, 268, 3905, 267, 4903, 12727, 1975, 784, 563, 8025, 2562, 32578, 540, 621, 4903, 12727, 4446, 2275, 1421, 562, 5060, 8686, 1421, 3404, 14092, 563, 268, 993, 601, 12727, 8330, 659, 1421, 546, 4592, 1421, 11815, 1421, 5337, 1421, 943, 657, 563, 268, 3728, 281, 595, 26067, 1421, 9279, 320, 1421, 24271, 1421, 28571, 2173, 1421, 24421, 1421, 6845, 1122, 1421, 694, 335, 1421, 3623, 1421, 2695, 559, 1421, 588, 2335, 563, 25446, 26059, 2207, 267, 1689, 540, 281, 667, 592, 322, 1421, 2144, 580, 1421, 561, 778, 1421, 6491, 14092, 1421, 943, 657, 1421, 15555, 343, 1421, 3623, 1421, 29008, 1421, 2357, 520, 1421, 8231, 563, 268, 14927, 281, 4446, 2275, 1421, 18287, 1421, 16087, 8686, 1421, 1225, 1421, 546, 592, 322, 1421, 19381, 1421, 561, 778, 1421, 22600, 1421, 28571, 1606, 1421, 20239, 1421, 11002, 639, 2389, 1421, 3623, 1421, 29008, 1421, 20962, 563, 268, 3905, 281, 700, 778, 563, 268, 7088, 344, 281, 7395, 2173, 1421, 943, 657, 1421, 11002, 617, 1421, 694, 335, 1421, 3623, 1421, 20962, 563, 268, 3636, 267, 6632, 281, 594, 617, 563, 20062, 2562, 5058, 267, 1282, 281, 589, 935, 1421, 818, 338, 1421, 524, 2088, 563, 310, 12114, 281, 589, 935, 1421, 1884, 2389, 1421, 818, 333, 1421, 18664, 1421, 7542, 337, 1421, 5337, 1421, 561, 778, 1421, 3366, 1421, 588, 2335, 1421, 588, 1090, 1421, 2098, 4532, 563, 268, 993, 601, 12727, 590, 17139, 563, 310, 2562, 9898, 281, 589, 935, 1421, 9106, 1421, 9279, 2275, 1421, 546, 592, 322, 1421, 552, 1575, 328, 1421, 737, 516, 657, 1421, 6491, 14092, 1421, 1544, 1421, 533, 7717, 1421, 15555, 343, 1421, 588, 2335, 1421, 588, 7469, 563, 312, 288, 310, 301, 5058, 281, 23172, 1421, 607, 2378, 1421, 524, 2088, 1421, 9597, 14092, 1421, 562, 5060, 8686, 1421, 24421, 1421, 588, 7469, 563, 268, 661, 269, 12164, 4596, 12613, 3951, 19611, 454, 268, 1354, 281, 1325, 4379, 1421, 737, 8932, 2275, 1421, 9597, 343, 1421, 6845, 1122, 1421, 20962, 563, 268, 1282, 281, 1325, 636, 1421, 620, 4379, 1421, 6845, 1122, 563, 268, 1310, 267, 993, 601, 12727, 1325, 4379, 1421, 607, 1706, 1421, 3046, 2275, 1421, 9279, 2275, 1421, 737, 8932, 2275, 1421, 561, 778, 1421, 9597, 343, 563, 6224, 21135, 267, 1354, 281, 7442, 529, 1421, 552, 1575, 12656, 1421, 10910, 639, 2389, 1421, 15555, 343, 1421, 521, 3711, 1421, 8685, 563, 268, 1282, 281, 818, 338, 1421, 11350, 1421, 536, 787, 1421, 24060, 8584, 1421, 24060, 1421, 7542, 337, 1421, 1912, 657, 1421, 533, 7717, 1421, 24421, 1421, 10910, 639, 2389, 1421, 15555, 343, 1421, 17939, 611, 1421, 694, 335, 1421, 8685, 563, 268, 1310, 281, 7442, 529, 1421, 524, 574, 343, 1421, 562, 5060, 2173, 1421, 943, 657, 1421, 521, 3711, 563, 295, 5357, 291, 267, 11522, 8078, 525, 1864, 547, 267, 5128, 27808, 569, 281, 3213, 742, 563, 295, 7419, 294, 2207, 267, 10795, 267, 609, 281, 715, 5060, 8686, 1421, 521, 592, 14092, 563, 17928, 7417, 313, 5058, 267, 7475, 538, 281, 589, 3258, 1421, 2415, 5991, 1421, 11350, 1421, 2695, 559, 1421, 20962, 563, 289, 3201, 11862, 267, 538, 3337, 540, 281, 589, 3258, 1421, 2415, 5991, 1421, 9279, 2275, 1421, 11430, 322, 1421, 1199, 1421, 943, 14092, 1421, 3623, 1421, 2695, 559, 1421, 853, 2335, 1421, 20962, 563, 13993, 302, 7495, 312, 267, 838, 9231, 540, 1973, 912, 268, 3109, 281, 4432, 2355, 1421, 6491, 14092, 563, 268, 6505, 268, 1042, 281, 589, 935, 1421, 818, 333, 1421, 13852, 1421, 18287, 1421, 16087, 8686, 1421, 667, 592, 322, 1421, 5754, 657, 1421, 28258, 1421, 737, 8932, 1532, 328, 1421, 3366, 1421, 24271, 1421, 943, 657, 1421, 11002, 639, 2389, 1421, 17939, 514, 1421, 3813, 1421, 13058, 563, 268, 4158, 281, 2549, 2275, 1421, 1884, 2275, 1421, 818, 333, 1421, 607, 541, 1421, 536, 1143, 1421, 536, 787, 1421, 21728, 1421, 666, 628, 1421, 16422, 1421, 24060, 1421, 595, 10635, 1421, 1714, 2355, 1421, 552, 25045, 334, 1421, 737, 516, 657, 1421, 11430, 322, 1421, 4012, 2275, 1421, 6491, 14092, 1421, 562, 5060, 2173, 1421, 715, 5060, 8686, 1421, 943, 14092, 1421, 943, 657, 1421, 24421, 1421, 13276, 1421, 694, 335, 1421, 454, 268, 26583, 1841, 267, 538, 281, 1728, 657, 5919, 3366, 1421, 562, 5060, 8686, 5919, 1566, 563, 268, 2887, 267, 1310, 513, 281, 12113, 337, 1790, 1421, 1984, 563, 268, 2295, 2068, 267, 1130, 341, 983, 267, 609, 281, 21728, 1421, 11430, 322, 1186, 269, 630, 22517, 20143, 651, 1916, 268, 14915, 566, 267, 1282, 281, 12113, 337, 563, 268, 22797, 267, 1282, 281, 561, 778, 269, 630, 22517, 20143, 651, 1916, 268, 1974, 673, 6285, 281, 737, 516, 657, 269, 630, 22517, 20143, 651, 1916, 268, 1612, 2135, 903, 7356, 11522, 267, 1310, 1142, 281, 589, 3258, 1421, 620, 4379, 1421, 606, 534, 1421, 2415, 5991, 1421, 23081, 2275, 1421, 737, 8932, 1532, 328, 1421, 20962, 563, 291, 9281, 293, 2975, 17109, 267, 9907, 1004, 281, 2549, 32508, 563, 292, 3008, 312, 267, 6640, 543, 1527, 2224, 281, 2415, 2173, 269, 630, 22517, 20143, 651, 1916, 7968, 3951, 4047, 299, 296, 9331, 267, 608, 9110, 5573, 281, 25590, 1606, 563, 14566, 22494, 585, 322, 4601, 856, 540, 5023, 281, 14068, 1421, 1750, 331, 1421, 737, 8932, 2275, 563, 303, 7838, 8085, 7728, 281, 1323, 659, 1421, 1884, 2389, 1421, 818, 333, 1421, 818, 338, 25829, 1421, 818, 338, 1421, 18287, 1606, 1421, 2836, 322, 1421, 16087, 12845, 1421, 16087, 1606, 1421, 24060, 8584, 1421, 25590, 1421, 524, 574, 343, 1421, 13798, 1421, 1230, 1421, 2007, 1421, 546, 4592, 1421, 7542, 337, 1421, 918, 8932, 2275, 1421, 737, 8932, 5991, 1421, 737, 8932, 1790, 1421, 737, 8932, 1606, 1421, 737, 516, 657, 1421, 10370, 322, 1421, 24271, 1421, 14844, 8584, 1421, 28571, 2275, 1421, 6491, 14092, 1421, 562, 5060, 2173, 1421, 943, 14092, 1421, 1912, 657, 1421, 726, 321, 1421, 24421, 1421, 11002, 639, 2389, 1421, 9484, 1421, 8125, 1421, 588, 2335, 1421, 588, 7469, 1421, 20962, 563, 305, 19851, 312, 281, 589, 935, 1421, 818, 333, 1421, 818, 338, 1421, 693, 549, 1421, 21563, 1421, 10370, 322, 1421, 943, 657, 1421, 7510, 5766, 1421, 11002, 639, 2389, 1421, 31025, 1421, 2695, 559, 563, 306, 298, 2562, 267, 899, 4666, 281, 30330, 2275, 563, 268, 15280, 281, 1488, 338, 1421, 16422, 1421, 524, 626, 1421, 546, 4592, 1421, 24271, 1421, 6491, 14092, 1421, 562, 5060, 8686, 1421, 623, 6160, 1421, 694, 335, 1421, 2357, 520, 563, 268, 30644, 281, 1325, 636, 1421, 993, 1962, 1421, 1488, 338, 1421, 18287, 1421, 28994, 1606, 1421, 16087, 8686, 1421, 24060, 1421, 3113, 1421, 2073, 10370, 322, 1421, 4012, 2275, 1421, 24271, 2275, 1421, 24271, 1421, 28571, 2275, 1421, 28571, 2173, 1421, 562, 5060, 2173, 1421, 943, 14092, 1421, 1912, 657, 1421, 623, 6160, 1421, 9484, 1421, 588, 2335, 563, 268, 11877, 281, 13852, 1421, 2836, 322, 737, 8932, 2275, 1421, 24271, 1421, 715, 5060, 8686, 1421, 1912, 657, 1421, 24421, 1421, 20962, 563, 268, 6653, 880, 281, 2836, 322, 1421, 2007, 1421, 737, 8932, 2275, 1421, 1912, 657, 1421, 726, 321, 1421, 24421, 1421, 521, 21171, 1421, 7254, 545, 1421, 2695, 559, 1421, 853, 2335, 563, 268, 11549, 6058, 748, 2433, 589, 3258, 1421, 1325, 4379, 1421, 3284, 529, 1421, 14803, 2173, 1421, 818, 338, 1421, 3046, 2275, 1421, 1309, 755, 1421, 23081, 2275, 1421, 7542, 337, 1421, 737, 8932, 1532, 328, 1421, 3288, 584, 1421, 1199, 1421, 803, 345, 1421, 14844, 2173, 1421, 28571, 1606, 1421, 943, 14092, 1421, 1912, 657, 1421, 13276, 1421, 7354, 1122, 1421, 3623, 1421, 588, 2335, 563, 23322, 2065, 2934, 540, 930, 5061, 538, 11522, 912, 268, 4165, 574, 28016, 25188, 541, 32337, 281, 12580, 2097, 7444, 269, 3220, 269, 27850, 3081, 268, 2048, 7224, 2339, 1018, 519, 2012, 540, 519, 8373, 267, 2436, 621, 581, 32583, 267, 16415, 267, 945, 14563, 11522, 610, 10447, 267, 952, 972, 568, 513, 1390, 13250, 540, 22024, 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 ]
[ 689, 15203, 538, 519, 1279, 3856, 563, 4913, 267, 621, 949, 581, 2556, 547, 4188, 543, 9793, 519, 8515, 540, 707, 2534, 547, 2061, 2417, 7063, 269, 1656, 540, 1576, 9004, 15203, 12597, 1928, 563, 290, 4047, 290, 298, 744, 7473, 744, 7838, 645, 2975, 312, 290, 4041, 25265, 308, 16249, 30316, 22432, 281, 3371, 454, 13263, 744, 7838, 645, 2975, 312, 12710, 5058, 5084, 309, 7728, 7838, 2464, 281, 3371, 0, 2414, 946, 782, 3252, 540, 713, 2985, 267, 5225, 19334, 12897, 538, 707, 11422, 563, 4415, 606, 934, 719, 585, 1250, 6983, 22351, 2202, 2593, 596, 666, 2141, 1294, 3388, 693, 513, 16145, 1107, 543, 596, 666, 19022, 707, 1378, 3896, 543, 1367, 20394, 563, 268, 3733, 4585, 1592, 454, 268, 3733, 10710, 19707, 454, 268, 3733, 10710, 3584, 454, 268, 3733, 20394, 454, 289, 3089, 2988, 1653, 568, 513, 6094, 6656, 1500, 689, 606, 14919, 540, 3327, 31407, 25683, 269, 20323, 267, 621, 729, 29959, 607, 513, 1259, 547, 6023, 3327, 31407, 25683, 267, 855, 621, 568, 4867, 1373, 6594, 543, 2919, 883, 3156, 676, 1896, 1382, 2516, 267, 6029, 9153, 607, 513, 2679, 1570, 585, 23825, 6472, 267, 1560, 24915, 543, 1985, 22831, 11418, 543, 10525, 563, 21206, 5227, 1702, 454, 289, 3089, 2988, 1653, 568, 513, 12550, 2675, 8084, 14919, 540, 3327, 31407, 25683, 267, 610, 834, 321, 3089, 12682, 25683, 2668, 898, 7640, 525, 922, 2012, 547, 11369, 28181, 995, 548, 16867, 267, 519, 476, 2568, 3327, 3505, 548, 16867, 630, 534, 28286, 549, 701, 540, 3327, 609, 2147, 16345, 602, 568, 3006, 5219, 547, 607, 513, 834, 289, 13806, 4252, 257, 538, 8956, 540, 681, 269, 21207, 28181, 9509, 518, 1040, 9400, 3911, 531, 2917, 267, 11184, 29733, 918, 549, 1729, 267, 543, 7917, 4354, 331, 3838, 519, 476, 1960, 277, 17587, 15356, 538, 11061, 585, 741, 6602, 540, 11369, 28181, 995, 548, 16867, 269, 4256, 8906, 543, 7766, 960, 609, 3327, 31407, 25683, 3366, 547, 513, 4838, 538, 519, 4610, 540, 7998, 543, 2326, 2257, 563, 16449, 519, 2009, 3096, 585, 11369, 2988, 1653, 602, 616, 1373, 21503, 912, 347, 1607, 2376, 568, 13931, 896, 519, 717, 26214, 5131, 11657, 566, 17821, 269, 898, 3096, 1570, 689, 519, 9504, 2376, 834, 289, 3089, 2988, 1653, 2668, 589, 1592, 540, 4589, 568, 2139, 538, 9504, 269, 347, 0, 1911, 260, 263, 273, 264, 273, 856, 540, 476, 273, 1004, 1336, 713, 3561, 5363, 454, 1607, 12744, 2982, 2985, 476, 272, 910, 476, 273, 856, 540, 476, 275, 3817, 563, 6860, 269, 6021, 4197, 9045, 790, 8018, 8512, 589, 281, 30805, 543, 15966, 1638, 965, 3629, 5885, 2963, 5228, 519, 5931, 630, 10964, 578, 264, 547, 1489, 20365, 6114, 547, 891, 2055, 269, 2422, 14814, 5220, 538, 707, 6114, 269, 476, 272, 23130, 568, 519, 3390, 30805, 568, 30237, 1944, 286, 476, 273, 23130, 2553, 1281, 30805, 946, 547, 1711, 1010, 24337, 286, 476, 274, 23130, 568, 519, 3390, 15966, 1638, 965, 568, 30237, 1944, 286, 476, 275, 23130, 2553, 1281, 15966, 1638, 965, 946, 547, 1711, 1010, 24337, 286, 476, 276, 32289, 3927, 798, 519, 2553, 1031, 5968, 30805, 779, 2990, 286, 476, 277, 32289, 3927, 798, 519, 2553, 1031, 5968, 15966, 1638, 965, 779, 2990, 286, 476, 278, 32289, 616, 519, 6835, 28078, 676, 30805, 543, 15966, 1638, 965, 2147, 286, 0, 763, 1353, 11567, 519, 1764, 540, 2582, 15970, 593, 519, 11601, 543, 1646, 540, 2930, 2069, 538, 2037, 30253, 3557, 269, 634, 3483, 540, 519, 1353, 729, 547, 3313, 519, 4539, 543, 267, 519, 10148, 519, 1523, 540, 2582, 15970, 814, 13684, 593, 519, 4264, 1646, 540, 2930, 2069, 538, 2037, 30253, 3557, 269, 589, 2698, 540, 476, 6344, 17013, 1500, 909, 540, 9038, 543, 4775, 1053, 540, 5697, 2930, 12621, 538, 1142, 23786, 10851, 540, 2037, 30253, 1533, 941, 1031, 585, 519, 1353, 269, 8422, 1382, 2055, 11461, 519, 1353, 269, 8422, 19165, 941, 7318, 693, 476, 271, 269, 4962, 1377, 540, 4644, 269, 4578, 729, 6394, 1210, 11295, 26830, 269, 634, 595, 1258, 22138, 13672, 10727, 11664, 1031, 547, 1449, 519, 10727, 540, 519, 6293, 26857, 476, 271, 269, 11025, 269, 634, 1353, 7000, 602, 1453, 689, 2582, 3237, 7985, 689, 2883, 13542, 267, 1920, 16132, 267, 3929, 8194, 267, 10792, 8739, 20300, 12503, 543, 588, 25634, 1436, 269, 1306, 513, 1267, 540, 891, 10148, 267, 1453, 689, 2582, 3237, 616, 6353, 609, 1970, 10605, 540, 8223, 267, 9060, 621, 2352, 547, 6718, 14292, 2326, 267, 8572, 547, 7390, 19349, 3292, 267, 3810, 7925, 547, 5061, 543, 4568, 269, 634, 1353, 849, 7000, 602, 267, 891, 1453, 1205, 21616, 543, 6749, 856, 540, 1153, 269, 898, 729, 5227, 602, 972, 1058, 581, 519, 5137, 540, 2027, 14172, 4604, 585, 1453, 540, 2582, 3237, 5461, 538, 2930, 2069, 676, 519, 1533, 543, 5313, 2229, 607, 713, 786, 948, 547, 2232, 519, 3390, 540, 1318, 14145, 633, 618, 543, 6023, 519, 2665, 540, 4057, 5578, 4203, 29792, 269, 4982, 958, 5227, 568, 519, 1646, 540, 3617, 5646, 18522, 2553, 543, 3292, 538, 782, 519, 2930, 12621, 563, 290, 2787, 281, 918, 2728, 772, 744, 4486, 267, 29142, 9346, 918, 2728, 269, 570, 1421, 29142, 2548, 333, 11535, 18301, 2917, 589, 269, 630, 1708, 272, 264, 17266, 9977, 532, 281, 513, 4790, 571, 842, 547, 519, 12655, 4886, 540, 14502, 4065, 538, 2037, 30253, 3557, 267, 3703, 4750, 540, 4065, 267, 5292, 269, 476, 280, 267, 17136, 476, 280, 267, 6032, 269, 8660, 268, 1911, 454, 1607, 960, 676, 3864, 1977, 4260, 11594, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 338, 476, 274, 269, 271, 1133, 19959, 17821, 0, 1103, 519, 674, 311, 2344, 267, 19728, 616, 2141, 21775, 538, 8424, 269, 1452, 9304, 8424, 616, 1644, 547, 1142, 824, 269, 1411, 2760, 4444, 1175, 835, 9304, 538, 513, 2062, 343, 11834, 267, 596, 2141, 6133, 1776, 835, 693, 519, 1482, 942, 269, 634, 2557, 693, 799, 891, 8424, 616, 21775, 568, 519, 4914, 5385, 2557, 563, 2005, 568, 5462, 676, 3761, 543, 3747, 267, 607, 568, 519, 2013, 538, 12303, 1169, 9467, 2344, 269, 634, 1034, 4749, 21775, 19728, 616, 1572, 2101, 19728, 269, 1452, 1331, 519, 2475, 13362, 630, 4785, 291, 1070, 519, 20789, 630, 292, 7838, 1070, 519, 3703, 11013, 630, 16412, 303, 1070, 519, 18230, 21473, 322, 630, 6224, 293, 264, 543, 519, 5545, 586, 523, 630, 297, 303, 312, 1040, 1452, 3670, 968, 332, 1690, 832, 892, 2272, 585, 936, 476, 3445, 260, 540, 519, 2344, 267, 1247, 936, 476, 2004, 260, 540, 2698, 6455, 616, 6383, 689, 519, 2475, 543, 5177, 563, 763, 4914, 5385, 2557, 568, 1641, 547, 3586, 15088, 269, 769, 1931, 547, 7001, 3761, 543, 3747, 267, 4914, 19728, 616, 3622, 21775, 538, 8424, 267, 519, 1101, 1373, 1572, 519, 3490, 9304, 543, 519, 2034, 519, 10839, 9304, 610, 4831, 9304, 269, 1879, 513, 9304, 6292, 568, 11751, 267, 552, 3052, 269, 20430, 27582, 7838, 267, 1152, 519, 3490, 9304, 568, 11751, 267, 519, 10839, 9304, 568, 4421, 1107, 596, 2628, 609, 621, 267, 538, 938, 1383, 609, 16402, 269, 901, 5311, 568, 2141, 4553, 543, 2306, 519, 9304, 8424, 2653, 547, 27655, 1256, 585, 14987, 269, 1809, 621, 1058, 581, 7074, 602, 519, 1931, 540, 519, 8424, 2760, 2242, 267, 711, 1256, 952, 596, 10393, 1616, 547, 4444, 20789, 338, 543, 2628, 609, 9489, 269, 634, 1931, 1131, 1869, 581, 20430, 27582, 7838, 267, 1152, 519, 4287, 540, 519, 4123, 2242, 269, 1280, 1346, 945, 616, 1007, 547, 9467, 267, 972, 616, 7515, 602, 1397, 875, 1142, 6292, 568, 11295, 563, 1692, 568, 519, 674, 311, 2557, 4646, 543, 1946, 616, 972, 1114, 3928, 538, 674, 311, 9467, 888, 8245, 2952, 2322, 267, 519, 674, 311, 2557, 568, 4646, 2687, 547, 519, 2241, 6240, 540, 3761, 543, 3747, 269, 1717, 267, 1114, 3928, 1590, 581, 13747, 4470, 593, 519, 3510, 269, 634, 1463, 2557, 568, 519, 3902, 540, 835, 2475, 13362, 1996, 1776, 9304, 269, 901, 2164, 689, 519, 1249, 602, 267, 607, 513, 4341, 267, 782, 824, 19728, 616, 20926, 1996, 519, 13362, 269, 4354, 6275, 8424, 602, 1331, 519, 2475, 13362, 2141, 2328, 519, 1977, 9304, 607, 519, 3490, 2557, 267, 1775, 4318, 269, 20430, 270, 18958, 311, 269, 1323, 9940, 2557, 568, 519, 3902, 540, 835, 1770, 540, 9304, 630, 324, 3052, 269, 586, 523, 264, 1996, 519, 13362, 269, 898, 568, 849, 1271, 547, 4063, 519, 9940, 10839, 585, 519, 16402, 267, 3703, 623, 895, 267, 8241, 667, 20683, 543, 1715, 10215, 667, 20683, 267, 552, 3052, 269, 589, 11070, 270, 4785, 291, 269, 1717, 267, 891, 616, 17756, 563, 268, 1879, 596, 4444, 513, 9304, 6292, 267, 596, 1058, 2628, 3007, 547, 519, 10839, 269, 898, 568, 519, 3902, 693, 799, 519, 11834, 729, 11943, 269, 3509, 2156, 24329, 946, 1483, 6066, 3928, 267, 855, 930, 946, 22566, 3928, 269, 1452, 616, 2965, 585, 1344, 1152, 267, 711, 585, 11056, 563, 268, 769, 4914, 5385, 9467, 267, 972, 616, 849, 1079, 9304, 5777, 281, 634, 19915, 3902, 543, 519, 2307, 3902, 563, 268, 634, 9140, 3902, 568, 519, 19915, 3902, 267, 1247, 519, 9513, 3902, 568, 1572, 519, 2307, 3902, 563, 268, 634, 3017, 1063, 891, 1079, 3928, 568, 606, 1271, 2707, 540, 4747, 585, 2156, 24329, 282, 12077, 267, 621, 2164, 538, 519, 3262, 269, 898, 568, 267, 865, 547, 3717, 267, 519, 9467, 14345, 540, 519, 17783, 29993, 630, 15842, 12027, 1070, 646, 1207, 903, 693, 835, 3902, 543, 1287, 23619, 693, 513, 2362, 835, 547, 5352, 7443, 269, 0, 2304, 7650, 540, 519, 6789, 10933, 630, 13563, 5980, 540, 20996, 19296, 264, 32011, 543, 11621, 799, 616, 4122, 1031, 676, 19296, 547, 1374, 10398, 532, 1949, 267, 581, 621, 3282, 543, 3154, 610, 17870, 1299, 1957, 610, 3114, 2371, 610, 4376, 602, 3096, 519, 6789, 10933, 8943, 543, 11621, 563, 2252, 596, 1413, 693, 513, 3114, 2030, 267, 606, 3282, 1201, 10320, 610, 606, 700, 7582, 2030, 267, 596, 786, 9090, 1294, 519, 12992, 20898, 909, 10562, 1063, 8043, 267, 20610, 267, 15450, 543, 1866, 269, 700, 1731, 2989, 547, 18437, 7132, 9649, 4496, 838, 698, 515, 26152, 16559, 563, 2690, 2576, 945, 1568, 607, 513, 10612, 11653, 610, 10398, 532, 11653, 267, 513, 1434, 5920, 568, 711, 519, 3804, 540, 513, 10612, 11768, 1374, 267, 855, 972, 568, 513, 5898, 543, 9547, 538, 7487, 519, 9343, 540, 12992, 563, 8170, 1576, 267, 972, 616, 1082, 1919, 602, 519, 10398, 532, 11653, 1590, 2628, 3007, 547, 950, 8888, 269, 634, 9165, 540, 513, 10398, 532, 11653, 568, 711, 1152, 12992, 267, 855, 849, 2882, 824, 10612, 3334, 971, 607, 23969, 3514, 14005, 267, 1487, 6203, 267, 1166, 5190, 267, 17901, 267, 9252, 20637, 267, 8833, 619, 543, 1082, 811, 563, 763, 3009, 1031, 585, 1374, 543, 4070, 5301, 585, 2604, 10398, 532, 1949, 568, 6789, 10933, 645, 4029, 269, 8943, 6789, 10933, 645, 4029, 16242, 26932, 532, 6227, 10398, 532, 1949, 2348, 5665, 12503, 8151, 689, 12511, 547, 1164, 2604, 269, 6789, 10933, 645, 4029, 8943, 568, 711, 513, 1433, 602, 2488, 2143, 1344, 827, 513, 2816, 269, 1717, 267, 519, 6789, 10933, 3009, 645, 4029, 1152, 2488, 5583, 593, 519, 5934, 4170, 585, 10612, 17501, 607, 5497, 563, 3008, 10933, 8943, 645, 4029, 5161, 540, 513, 1297, 540, 4830, 968, 21827, 892, 543, 568, 849, 3370, 14384, 269, 1717, 267, 3388, 3788, 896, 519, 513, 22273, 1182, 543, 4287, 540, 519, 6789, 10933, 9730, 645, 4029, 8943, 585, 16242, 26932, 532, 269, 898, 568, 519, 10279, 543, 5539, 540, 519, 1788, 8227, 610, 968, 26782, 892, 547, 6430, 799, 2694, 540, 519, 8943, 547, 946, 593, 741, 1788, 269, 1717, 267, 972, 616, 1896, 1919, 547, 2015, 538, 8159, 799, 851, 540, 519, 3009, 547, 946, 267, 12077, 912, 268, 7799, 14591, 540, 519, 8943, 851, 1315, 3296, 454, 268, 13751, 4170, 1141, 621, 786, 581, 1031, 454, 268, 25792, 824, 9479, 543, 4441, 602, 1590, 849, 581, 1558, 269, 0, 8702, 547, 5729, 476, 273, 454, 2005, 729, 17681, 547, 1294, 930, 3237, 585, 20821, 519, 11819, 713, 3018, 855, 952, 596, 941, 8572, 547, 7390, 267, 5225, 4945, 1934, 547, 1294, 1250, 6881, 563, 1103, 13878, 9391, 267, 649, 786, 2253, 676, 3168, 693, 9255, 10025, 267, 18827, 543, 25513, 269, 634, 1453, 786, 973, 777, 741, 960, 689, 5729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17520, 267, 12870, 267, 13262, 543, 8682, 7232, 4614, 655, 514, 2160, 4841, 281, 589, 9061, 268, 4089, 531, 23850, 5530, 269, 4750, 623, 821, 267, 476, 272, 268, 1724, 269, 0, 1607, 2376, 568, 2854, 676, 1744, 643, 8643, 623, 7701, 689, 2549, 640, 4521, 3427, 267, 16156, 269, 3371, 519, 2278, 11828, 519, 3390, 540, 6976, 3377, 543, 13313, 538, 2527, 2923, 1282, 12836, 563, 763, 2046, 4249, 513, 1713, 1909, 538, 2679, 513, 4182, 543, 519, 2208, 540, 513, 2635, 9111, 269, 898, 6411, 607, 513, 8115, 1063, 1004, 543, 824, 22225, 540, 9111, 267, 602, 568, 267, 519, 15424, 267, 10324, 267, 543, 4140, 26547, 269, 898, 2337, 538, 8066, 519, 8128, 18177, 585, 741, 3527, 543, 538, 13905, 269, 5240, 568, 9277, 547, 581, 6662, 267, 4023, 267, 543, 9243, 602, 3762, 2614, 2230, 585, 1004, 547, 1106, 8369, 3823, 1022, 3390, 269, 4935, 267, 519, 5191, 540, 519, 2046, 568, 540, 14063, 2956, 538, 1022, 11180, 14764, 269, 1717, 267, 609, 519, 4473, 538, 519, 7613, 540, 2797, 6976, 3377, 267, 519, 5191, 540, 2046, 543, 20859, 616, 538, 8594, 269, 898, 8255, 3564, 1367, 20859, 543, 2923, 3549, 543, 814, 7960, 883, 606, 6896, 1106, 267, 13296, 14786, 543, 8613, 9055, 4309, 5458, 7482, 676, 519, 2797, 6105, 547, 15476, 610, 13739, 3377, 602, 568, 3622, 7301, 267, 547, 1489, 741, 18259, 269, 2334, 267, 538, 2490, 267, 11874, 521, 1811, 519, 5304, 543, 1128, 580, 919, 23998, 543, 5208, 269, 4475, 267, 621, 568, 1898, 547, 18359, 519, 18813, 640, 540, 519, 8772, 30361, 540, 9111, 547, 2226, 4708, 543, 10103, 1851, 1004, 267, 1247, 849, 20808, 519, 5191, 540, 2046, 543, 20859, 563, 30547, 540, 6976, 3377, 454, 303, 4660, 3377, 666, 581, 6956, 607, 519, 13629, 610, 31076, 540, 513, 3377, 6221, 602, 568, 3622, 21678, 610, 7301, 267, 585, 519, 4324, 540, 519, 5428, 267, 538, 5385, 585, 7156, 269, 898, 568, 606, 2025, 7613, 855, 621, 2968, 3226, 18476, 1282, 519, 476, 1220, 280, 2489, 12836, 269, 634, 4964, 7027, 540, 3127, 630, 303, 5746, 264, 593, 922, 1867, 593, 6976, 3377, 3370, 538, 476, 1220, 280, 267, 11225, 621, 607, 1022, 3377, 610, 2079, 17729, 538, 1820, 610, 5907, 2923, 585, 7156, 538, 6666, 610, 2186, 269, 634, 12057, 776, 30557, 9730, 593, 6176, 2029, 896, 519, 12080, 540, 6176, 543, 16340, 26511, 630, 27770, 29368, 1070, 538, 922, 476, 5325, 628, 1867, 593, 519, 968, 296, 1087, 1132, 13565, 547, 623, 4660, 5240, 5608, 20483, 519, 4214, 2016, 676, 623, 5746, 543, 5219, 547, 713, 7613, 607, 6976, 3377, 6794, 269, 898, 849, 3769, 22099, 24320, 2213, 607, 3377, 269, 1717, 267, 972, 568, 513, 991, 585, 513, 3102, 543, 8537, 3656, 4214, 540, 6976, 3377, 267, 602, 1058, 581, 19775, 538, 15360, 609, 519, 8639, 267, 971, 607, 519, 623, 5746, 267, 20859, 267, 543, 9746, 9988, 563, 11795, 2397, 1063, 3377, 543, 2797, 10229, 454, 303, 11823, 10229, 4016, 547, 519, 2186, 540, 29275, 602, 8992, 513, 5428, 610, 513, 11134, 585, 513, 5428, 269, 898, 949, 849, 1331, 10229, 827, 2152, 540, 1857, 4690, 610, 2229, 4507, 269, 30760, 10229, 568, 849, 513, 851, 540, 2797, 10229, 267, 1141, 1543, 3823, 606, 14232, 9550, 568, 6994, 2213, 267, 5009, 513, 1880, 5428, 610, 513, 11134, 543, 741, 8915, 334, 269, 898, 949, 849, 1331, 10404, 1944, 519, 1699, 2229, 779, 4507, 269, 1717, 267, 609, 519, 4473, 540, 519, 7613, 540, 6976, 3377, 267, 519, 1899, 1063, 3377, 543, 6994, 3645, 338, 1185, 23324, 269, 623, 4660, 3377, 8992, 513, 2797, 5428, 24320, 2213, 607, 606, 13181, 4062, 540, 3377, 267, 1419, 22801, 519, 3988, 543, 13588, 269, 898, 695, 1389, 519, 4295, 11180, 1871, 1671, 15590, 1441, 538, 519, 9139, 540, 3127, 269, 4935, 267, 519, 623, 5746, 543, 519, 7720, 29368, 6700, 519, 2923, 543, 3377, 9055, 1629, 2117, 622, 1063, 3377, 543, 2797, 10229, 269, 634, 8228, 2046, 1058, 1820, 771, 8010, 619, 2630, 2797, 22099, 267, 543, 3377, 9055, 1058, 4163, 513, 5491, 1899, 602, 30193, 3377, 689, 2797, 10229, 563, 27246, 540, 6976, 3377, 454, 763, 30557, 9730, 4857, 1585, 4128, 585, 519, 4473, 538, 6976, 3377, 269, 18648, 13230, 1377, 543, 7771, 538, 519, 13190, 540, 519, 20859, 267, 6144, 520, 5314, 540, 2923, 267, 543, 512, 1872, 540, 2112, 1063, 15769, 543, 9946, 540, 519, 14786, 543, 9055, 267, 616, 1906, 540, 519, 2101, 20334, 269, 634, 4128, 616, 5941, 538, 1469, 2630, 912, 299, 871, 540, 13190, 540, 519, 20859, 454, 1103, 1034, 2665, 267, 519, 9946, 540, 513, 2923, 2777, 10880, 513, 4308, 609, 513, 5428, 547, 15476, 6976, 3377, 267, 945, 1287, 3196, 741, 15769, 547, 3382, 3377, 538, 12797, 540, 519, 11769, 602, 17188, 873, 269, 4935, 267, 20859, 616, 4389, 547, 960, 607, 6725, 8069, 267, 10229, 5299, 32392, 267, 3092, 269, 634, 9946, 267, 3079, 540, 519, 20859, 267, 1404, 513, 811, 9565, 1909, 538, 519, 5542, 543, 6881, 540, 3377, 689, 799, 8907, 1131, 581, 6383, 269, 6270, 13779, 521, 2293, 519, 2078, 1063, 2359, 543, 20859, 543, 5012, 547, 513, 6757, 960, 1604, 563, 288, 4357, 14097, 568, 606, 6876, 1063, 2923, 3549, 543, 9746, 9988, 610, 1875, 2173, 4215, 3549, 267, 538, 799, 519, 8545, 19132, 513, 1906, 8843, 540, 519, 2754, 547, 519, 5449, 585, 29275, 2230, 543, 15028, 3795, 269, 901, 7613, 3323, 538, 476, 1220, 274, 950, 26999, 9116, 267, 23045, 2006, 7577, 17290, 630, 6195, 12710, 1070, 21101, 540, 8648, 540, 3127, 630, 15674, 296, 264, 4956, 547, 1376, 513, 6976, 1543, 3028, 1572, 2405, 1014, 564, 602, 2366, 20859, 547, 3382, 1587, 31782, 540, 3549, 585, 513, 3902, 269, 901, 1847, 729, 8185, 22309, 267, 855, 621, 729, 2663, 25626, 896, 519, 24095, 267, 543, 713, 2259, 1630, 15701, 538, 824, 2923, 5121, 607, 1134, 269, 3509, 3549, 267, 971, 607, 966, 728, 27019, 3127, 267, 20943, 2045, 7763, 832, 267, 543, 23202, 531, 9398, 4547, 2230, 538, 9215, 296, 538, 5385, 585, 8843, 538, 741, 3549, 269, 898, 16922, 519, 2298, 540, 3377, 1543, 538, 9215, 296, 267, 543, 607, 649, 666, 1294, 1631, 1169, 2034, 2985, 538, 519, 1957, 568, 513, 2407, 22240, 9746, 610, 2797, 29275, 563, 3412, 4124, 593, 519, 21146, 1184, 454, 303, 4660, 3377, 568, 19856, 656, 1312, 1282, 519, 9550, 543, 1875, 3887, 3005, 942, 269, 5240, 1543, 568, 4547, 676, 519, 2797, 6105, 610, 513, 11134, 1282, 12836, 267, 689, 20859, 543, 2923, 8075, 607, 1134, 607, 689, 10229, 8041, 543, 1857, 1894, 10909, 269, 1358, 723, 547, 17192, 519, 5428, 610, 11134, 945, 6976, 873, 543, 849, 10404, 1125, 741, 18545, 269, 15443, 573, 919, 945, 20912, 1373, 513, 851, 540, 713, 18348, 633, 2259, 267, 798, 711, 1205, 1022, 3795, 676, 519, 2046, 269, 634, 2360, 540, 9550, 942, 6976, 3377, 9259, 607, 679, 10179, 730, 676, 519, 623, 5746, 538, 922, 1867, 540, 476, 1220, 280, 616, 607, 5205, 912, 268, 634, 1857, 1281, 711, 1205, 513, 2953, 4605, 540, 519, 2797, 5428, 610, 519, 11134, 267, 607, 519, 3377, 3370, 3823, 741, 960, 568, 21678, 543, 7301, 269, 898, 30001, 519, 1360, 9759, 540, 9111, 563, 268, 634, 16311, 532, 10457, 1058, 3758, 741, 2883, 6898, 609, 519, 30760, 8189, 540, 3127, 630, 4488, 296, 1070, 1141, 789, 616, 9277, 547, 1397, 782, 519, 9276, 30309, 543, 4747, 12236, 676, 873, 269, 1717, 267, 519, 8852, 1934, 616, 6140, 2944, 538, 6666, 610, 2186, 267, 799, 616, 711, 6592, 267, 7551, 3423, 908, 519, 18430, 540, 30760, 16390, 267, 476, 3422, 272, 9788, 1524, 896, 23830, 540, 4658, 2920, 267, 476, 4198, 272, 630, 305, 5183, 1916, 268, 14936, 267, 519, 2046, 945, 4309, 519, 7156, 538, 5385, 540, 519, 3377, 3370, 676, 873, 267, 798, 711, 30035, 971, 8852, 538, 741, 6898, 267, 7551, 3423, 908, 519, 20677, 12525, 2920, 267, 476, 3422, 272, 630, 3951, 2920, 1040, 4595, 519, 4308, 568, 711, 593, 4574, 267, 621, 3587, 2352, 585, 519, 8128, 547, 3180, 1022, 5428, 18177, 563, 2750, 12371, 3656, 5943, 454, 17746, 3191, 540, 3127, 454, 20684, 476, 866, 540, 519, 4095, 9139, 18715, 519, 5191, 540, 4633, 540, 519, 4961, 267, 1519, 602, 540, 519, 2046, 269, 634, 5010, 4633, 849, 8813, 1369, 519, 16084, 540, 713, 2376, 269, 4935, 267, 6976, 3377, 666, 1265, 973, 6847, 896, 1863, 4633, 269, 1717, 267, 2059, 609, 519, 1318, 547, 5191, 4633, 540, 2046, 267, 519, 1318, 547, 1344, 540, 1004, 4927, 581, 4767, 269, 634, 1344, 22412, 730, 896, 519, 6095, 321, 540, 5191, 540, 519, 2046, 4927, 581, 3020, 543, 28102, 269, 898, 568, 519, 1857, 779, 1318, 547, 1569, 4023, 1344, 547, 1106, 8369, 593, 6927, 540, 1857, 1719, 267, 543, 519, 2923, 1590, 18836, 971, 1344, 269, 769, 519, 10966, 7040, 538, 519, 2013, 540, 14199, 267, 12080, 540, 6176, 543, 16340, 26511, 267, 6554, 540, 3127, 1299, 2107, 338, 269, 642, 269, 595, 19897, 5948, 540, 19377, 1299, 1323, 337, 269, 4767, 602, 267, 25749, 610, 835, 20933, 1344, 540, 3377, 267, 6766, 676, 606, 6392, 610, 4357, 2043, 267, 27938, 519, 4295, 1871, 540, 9111, 563, 11847, 19948, 540, 4658, 779, 2920, 267, 476, 4198, 272, 454, 268, 8791, 476, 11277, 540, 519, 2920, 2829, 519, 18348, 2853, 799, 616, 10363, 543, 1291, 547, 519, 771, 23974, 2305, 540, 519, 1268, 269, 8791, 476, 11277, 263, 275, 264, 32141, 602, 952, 513, 11134, 610, 1010, 8665, 32245, 7301, 6898, 1644, 547, 519, 1915, 540, 824, 10457, 267, 602, 1268, 786, 581, 771, 23974, 1881, 689, 519, 9550, 896, 8791, 476, 279, 288, 540, 681, 5183, 563, 268, 7201, 8791, 476, 6507, 267, 1169, 11134, 568, 547, 30035, 741, 2883, 6898, 3823, 519, 9276, 1282, 12836, 547, 519, 661, 5746, 267, 5821, 540, 799, 1131, 1291, 547, 741, 771, 23974, 2305, 585, 711, 811, 982, 1614, 1296, 269, 634, 8320, 540, 6976, 3377, 616, 547, 581, 3144, 883, 2272, 689, 519, 9930, 1588, 540, 519, 11134, 11489, 12836, 269, 623, 4660, 3377, 568, 513, 5010, 11834, 543, 621, 568, 14648, 607, 2048, 1278, 3561, 685, 896, 8791, 476, 14096, 288, 263, 274, 7565, 321, 264, 540, 519, 681, 5183, 269, 2598, 26918, 540, 1346, 6054, 543, 8852, 547, 519, 661, 5746, 568, 16601, 896, 681, 5183, 563, 292, 3005, 8189, 540, 3127, 454, 763, 30760, 8189, 540, 3127, 568, 606, 14628, 1560, 3964, 896, 9137, 476, 27844, 540, 519, 4095, 9139, 267, 602, 1754, 985, 519, 9550, 5650, 538, 3127, 267, 689, 1533, 547, 3084, 1377, 269, 634, 10243, 849, 13327, 525, 519, 2932, 540, 519, 2797, 6105, 543, 9550, 10457, 543, 814, 519, 1379, 547, 771, 23974, 1518, 873, 269, 11374, 616, 519, 4808, 9788, 1524, 676, 30760, 8189, 547, 26193, 519, 7613, 540, 6976, 3377, 912, 268, 769, 519, 2013, 540, 12080, 540, 6176, 543, 16340, 26511, 642, 269, 631, 4882, 26155, 7236, 7641, 623, 26404, 13456, 1299, 2107, 338, 269, 519, 30085, 5480, 9859, 602, 782, 2797, 22099, 676, 1022, 10805, 5428, 610, 11134, 1354, 13629, 621, 593, 7641, 267, 15571, 267, 610, 11356, 1058, 1205, 13170, 689, 519, 661, 5746, 563, 268, 898, 1305, 909, 513, 9012, 27872, 543, 16424, 9730, 630, 10157, 10157, 264, 693, 519, 8664, 543, 1533, 1377, 602, 814, 547, 6895, 543, 5909, 1518, 782, 2797, 22099, 543, 6976, 3377, 676, 519, 10457, 540, 602, 1858, 269, 898, 786, 29506, 1125, 13557, 590, 5960, 23218, 4069, 6835, 267, 1514, 2923, 267, 1514, 2923, 267, 21576, 31508, 267, 5925, 267, 3092, 1421, 538, 519, 1858, 1141, 621, 568, 3964, 269, 634, 4808, 941, 29567, 538, 476, 1001, 280, 267, 13296, 606, 10827, 776, 4882, 3469, 4274, 568, 849, 3769, 538, 519, 12233, 563, 268, 634, 10457, 616, 547, 1331, 519, 9276, 30309, 538, 519, 22099, 543, 6976, 3377, 593, 7641, 9055, 543, 14786, 267, 607, 2016, 896, 519, 3281, 754, 1756, 540, 19019, 593, 30760, 5890, 754, 8132, 16424, 563, 268, 2353, 1533, 12751, 5082, 7394, 12079, 619, 630, 4753, 302, 264, 17647, 547, 1592, 782, 7641, 267, 5925, 9055, 267, 543, 14786, 538, 741, 1533, 2059, 609, 741, 3044, 29275, 3928, 3670, 3275, 1354, 519, 700, 758, 17939, 3873, 610, 14076, 5984, 17939, 3873, 4744, 11510, 269, 1403, 519, 8189, 9060, 856, 602, 5428, 538, 741, 2883, 6898, 814, 711, 3769, 519, 9276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4620, 10635, 8707, 2472, 689, 19020, 3282, 269, 25115, 3282, 568, 513, 1769, 3267, 910, 1224, 811, 454, 288, 7777, 3282, 568, 1022, 540, 1585, 2681, 1652, 267, 17627, 1652, 267, 1769, 23399, 540, 12659, 6951, 538, 519, 595, 1428, 547, 595, 2412, 2039, 689, 513, 1875, 268, 557, 1326, 762, 630, 2381, 1968, 264, 2707, 267, 3226, 513, 1253, 650, 622, 540, 19386, 269, 910, 1224, 811, 454, 8923, 8917, 952, 519, 2626, 596, 941, 2016, 5280, 596, 610, 711, 267, 602, 338, 519, 1655, 1259, 547, 2087, 938, 5690, 269, 1411, 666, 849, 10505, 606, 2626, 610, 2638, 824, 2200, 269, 0, 289, 22877, 513, 27684, 454, 14240, 540, 4672, 536, 1120, 538, 519, 28732, 10778, 272, 18502, 1804, 13735, 2527, 540, 4672, 2073, 30956, 3737, 689, 513, 27224, 543, 5645, 856, 547, 4262, 563, 273, 269, 534, 14156, 4411, 1268, 563, 274, 269, 5245, 23357, 845, 531, 281, 320, 1268, 945, 7669, 338, 543, 1147, 12028, 5781, 538, 5162, 563, 763, 4672, 536, 1120, 6436, 616, 1134, 8153, 547, 8103, 281, 26466, 644, 263, 6977, 277, 268, 4350, 280, 264, 3379, 519, 1480, 32436, 547, 519, 851, 14084, 896, 1216, 2073, 26074, 602, 1018, 649, 798, 267, 10623, 601, 267, 543, 2161, 568, 1535, 260, 796, 4621, 19290, 6456, 538, 519, 1216, 540, 938, 6689, 563, 1805, 908, 602, 519, 1480, 20369, 3832, 568, 9044, 539, 543, 602, 8823, 543, 9909, 10836, 689, 519, 17499, 729, 1016, 951, 633, 693, 519, 942, 543, 25164, 4519, 729, 8547, 563, 30560, 548, 879, 6261, 517, 1399, 263, 5002, 279, 268, 3422, 272, 1070, 23210, 14544, 267, 538, 1010, 834, 4942, 26408, 558, 860, 773, 632, 3288, 8226, 2580, 10953, 513, 3069, 827, 519, 9759, 540, 5384, 269, 3891, 6811, 3833, 23963, 602, 519, 4672, 536, 1120, 5283, 1206, 883, 1216, 282, 4248, 15942, 883, 519, 5757, 25467, 519, 5757, 25001, 3294, 883, 519, 4262, 318, 2252, 942, 568, 2147, 547, 519, 5757, 32586, 4672, 536, 1120, 799, 568, 519, 2250, 267, 628, 4900, 3294, 883, 519, 1459, 5757, 25467, 1287, 883, 13777, 584, 4262, 318, 15463, 659, 29411, 799, 568, 513, 2101, 2707, 585, 519, 2079, 540, 942, 729, 9244, 22309, 676, 12142, 5025, 1872, 755, 514, 32390, 1120, 5459, 25467, 1261, 728, 1375, 518, 281, 257, 339, 719, 521, 262, 2946, 322, 537, 548, 2668, 30560, 548, 879, 623, 517, 1399, 4422, 2417, 547, 2161, 602, 5384, 6818, 1152, 1317, 540, 519, 2078, 649, 723, 547, 1919, 543, 602, 4061, 267, 527, 568, 711, 513, 1483, 1184, 543, 19528, 661, 1181, 640, 563, 9213, 267, 933, 1419, 1224, 827, 519, 4672, 536, 1120, 547, 2911, 540, 8733, 2042, 971, 607, 2518, 8337, 8160, 990, 625, 971, 607, 834, 763, 4303, 2991, 8751, 6563, 834, 1410, 626, 547, 7038, 267, 342, 7568, 543, 8710, 519, 1857, 23130, 1985, 4672, 536, 1120, 3069, 786, 9514, 519, 2247, 540, 519, 1857, 286, 0, 297, 659, 4302, 14979, 9410, 267, 23105, 4964, 454, 25567, 753, 616, 20916, 547, 1589, 602, 1346, 945, 1118, 827, 519, 1482, 2724, 607, 789, 798, 616, 834, 332, 1497, 1362, 2437, 2687, 547, 513, 2487, 3542, 689, 519, 9931, 9335, 4750, 543, 715, 6195, 5240, 563, 16449, 10820, 15980, 1269, 2412, 267, 1822, 547, 1269, 2004, 267, 1822, 267, 476, 4366, 2600, 3989, 1647, 13867, 607, 1369, 741, 1378, 4747, 31455, 269, 17823, 1399, 2600, 540, 1346, 15980, 1269, 2004, 267, 1822, 547, 1269, 4037, 267, 1822, 1767, 741, 4747, 729, 519, 3020, 1647, 13867, 2268, 269, 1656, 1851, 10820, 15980, 1269, 4037, 267, 1822, 547, 1269, 1911, 267, 1822, 513, 1032, 267, 476, 4375, 2600, 1767, 1373, 1647, 13867, 5921, 15980, 1018, 789, 798, 563, 5415, 982, 476, 3445, 2600, 540, 1346, 23500, 3989, 513, 834, 332, 1497, 13867, 7622, 257, 607, 3885, 609, 2698, 4747, 693, 610, 2630, 1269, 1911, 267, 1822, 267, 799, 519, 9931, 9335, 4750, 3081, 568, 513, 7522, 518, 4214, 982, 513, 1297, 540, 14761, 267, 607, 834, 16341, 1876, 16234, 1419, 2322, 519, 2759, 11325, 6251, 547, 1269, 1220, 267, 1822, 610, 1269, 7742, 267, 1822, 4799, 4517, 4352, 1346, 23500, 609, 26038, 936, 1269, 1911, 267, 1822, 6140, 8815, 602, 1269, 2004, 267, 1822, 268, 259, 1911, 267, 1822, 3989, 513, 1647, 1362, 1272, 267, 513, 2407, 10116, 540, 873, 2219, 8744, 538, 3670, 5515, 729, 1647, 13867, 563, 288, 476, 1001, 272, 1353, 689, 519, 623, 1168, 4077, 3386, 11565, 1336, 602, 952, 834, 332, 1497, 1362, 257, 568, 3989, 607, 1373, 1369, 519, 476, 1789, 628, 547, 476, 3583, 628, 30878, 540, 4747, 3892, 267, 621, 1797, 1346, 1818, 1063, 1269, 3953, 267, 12010, 547, 1269, 5038, 267, 1822, 616, 5265, 3989, 607, 1647, 1362, 563, 3719, 971, 513, 4214, 949, 711, 581, 865, 2241, 267, 2687, 547, 606, 2376, 689, 8355, 24125, 538, 7330, 4653, 269, 2755, 10747, 519, 11667, 4747, 949, 581, 2653, 267, 834, 763, 2182, 851, 568, 23115, 856, 875, 2484, 1657, 610, 2630, 519, 1647, 2576, 781, 4747, 666, 979, 543, 1869, 581, 2808, 1647, 1362, 2437, 24125, 5206, 269, 1261, 1767, 602, 513, 4999, 540, 4747, 267, 8456, 543, 6197, 782, 8329, 547, 2436, 2576, 2808, 9887, 1647, 1362, 563, 28494, 11691, 1412, 2171, 2811, 513, 1647, 11665, 1920, 262, 814, 811, 982, 2883, 25664, 725, 547, 621, 2437, 7325, 773, 1261, 987, 267, 8689, 540, 519, 2160, 540, 595, 32385, 10620, 781, 13188, 4741, 267, 5143, 24125, 269, 834, 2005, 814, 513, 6070, 6361, 7308, 268, 24160, 1745, 547, 621, 269, 2334, 781, 519, 5127, 13702, 4799, 268, 14568, 982, 513, 6318, 281, 634, 10545, 3364, 596, 2483, 268, 4639, 297, 564, 29617, 3381, 4422, 10194, 607, 13244, 2483, 268, 2274, 822, 8636, 17613, 2956, 540, 16167, 267, 24816, 454, 268, 634, 1977, 14134, 568, 1869, 9800, 585, 476, 736, 2483, 268, 11969, 344, 1744, 636, 3118, 281, 4208, 865, 2038, 286, 31054, 7836, 2483, 268, 17491, 5600, 8265, 8364, 22316, 585, 1857, 10131, 454, 268, 32544, 3557, 4099, 4543, 547, 2087, 10081, 2483, 268, 4495, 11786, 25708, 3959, 6368, 2483, 268, 634, 1977, 14134, 568, 1869, 9800, 585, 1862, 476, 1015, 454, 268, 3590, 5821, 547, 16620, 585, 16607, 1862, 476, 280, 454, 268, 2274, 822, 8636, 17613, 2956, 540, 16167, 28011, 476, 278, 454, 268, 595, 25729, 22193, 547, 2154, 1870, 1862, 476, 276, 454, 268, 14568, 982, 513, 6318, 281, 634, 10545, 3364, 1862, 476, 276, 454, 268, 13245, 6009, 1867, 513, 1434, 1129, 585, 1862, 476, 273, 454, 268, 2475, 13864, 8813, 547, 476, 278, 533, 551, 269, 593, 476, 10711, 298, 1862, 476, 272, 454, 268, 4446, 5886, 1299, 32201, 8843, 2887, 593, 22444, 16785, 476, 272, 0, 10870, 531, 7233, 1546, 1260, 3939, 532, 5358, 454, 5719, 1260, 3939, 532, 5358, 281, 19992, 519, 2480, 25333, 454, 291, 8123, 6052, 568, 8149, 547, 3246, 10097, 267, 6325, 267, 5051, 2973, 5201, 269, 24771, 267, 1447, 3608, 5755, 2371, 616, 1373, 8719, 676, 4359, 2029, 267, 13324, 676, 2067, 3154, 543, 15777, 5755, 563, 8512, 540, 713, 7029, 2882, 9108, 24905, 1782, 891, 4587, 2371, 267, 851, 540, 513, 1950, 267, 3818, 4458, 1184, 1634, 607, 1232, 2174, 2153, 532, 543, 23542, 819, 269, 1635, 519, 1439, 540, 476, 1001, 274, 267, 16099, 6052, 786, 723, 19622, 4559, 693, 8370, 5755, 30187, 5108, 4609, 538, 519, 8349, 21590, 269, 634, 1279, 3856, 5075, 585, 4609, 609, 19622, 5755, 4559, 2066, 938, 1062, 568, 547, 2132, 873, 547, 2666, 1377, 563, 8139, 519, 1184, 454, 7628, 519, 2038, 5933, 540, 519, 1232, 2174, 2153, 532, 543, 23542, 819, 1788, 267, 649, 786, 4894, 6464, 543, 824, 2326, 267, 32006, 720, 1018, 3937, 649, 666, 22120, 543, 1065, 17123, 693, 824, 4609, 543, 6133, 1022, 16150, 1570, 269, 769, 519, 23542, 819, 543, 11808, 11775, 267, 649, 786, 9108, 4894, 519, 1379, 5264, 267, 16403, 7958, 543, 1022, 25581, 3889, 1100, 3476, 2877, 543, 1287, 6445, 267, 3446, 543, 6079, 519, 2244, 563, 1607, 1935, 568, 1655, 14018, 547, 2327, 4797, 3106, 267, 3354, 543, 2825, 10220, 693, 519, 3135, 538, 519, 2104, 267, 1312, 585, 519, 2754, 543, 519, 2146, 269, 16099, 6052, 786, 3136, 547, 1378, 543, 12403, 731, 891, 3601, 267, 543, 930, 540, 873, 616, 1753, 547, 824, 2010, 540, 5108, 563, 763, 1232, 2174, 2153, 532, 1788, 849, 11498, 547, 930, 540, 938, 4587, 2067, 3154, 13674, 17081, 4559, 2066, 519, 5108, 18239, 269, 1452, 4609, 786, 1847, 998, 513, 2147, 1184, 607, 519, 5755, 30187, 4559, 563, 2026, 327, 16935, 5008, 999, 454, 2171, 1544, 547, 2673, 11849, 30520, 2899, 789, 616, 1100, 3476, 2877, 267, 538, 2673, 11558, 609, 1533, 22124, 269, 1284, 616, 10442, 2789, 19479, 3681, 547, 2327, 649, 2824, 2409, 602, 1683, 1164, 1216, 2298, 4027, 267, 1247, 13326, 519, 1082, 4690, 540, 938, 5561, 269, 16099, 6052, 568, 17849, 3606, 2930, 4966, 547, 1685, 3621, 543, 4702, 2090, 547, 4363, 519, 1034, 3617, 19479, 1505, 585, 1142, 3135, 269, 0, 20225, 476, 6021, 267, 476, 1001, 274, 454, 293, 12188, 540, 519, 3047, 2342, 2501, 609, 1007, 5515, 593, 519, 552, 557, 540, 513, 2629, 8917, 538, 519, 3864, 12057, 593, 6915, 30669, 3609, 563, 292, 2202, 779, 10256, 616, 1373, 7142, 547, 6445, 741, 13688, 609, 2810, 5666, 540, 22986, 1673, 652, 549, 3539, 13869, 3282, 1007, 5515, 5950, 2221, 1397, 269, 26054, 3282, 946, 814, 2799, 1454, 811, 982, 10567, 543, 568, 1631, 693, 476, 736, 260, 540, 519, 7686, 19342, 3575, 538, 2342, 563, 9213, 16840, 540, 519, 3864, 12057, 1865, 519, 9167, 781, 1543, 1190, 6915, 995, 525, 3609, 609, 513, 8917, 4397, 593, 476, 1556, 5181, 269, 631, 7968, 338, 616, 896, 2604, 547, 3970, 519, 946, 540, 6915, 30669, 799, 616, 7700, 547, 2916, 1689, 267, 17717, 543, 8375, 1426, 5777, 563, 6097, 547, 7605, 29560, 29965, 267, 6915, 30669, 5859, 518, 585, 14886, 540, 519, 3047, 2342, 834, 527, 568, 24034, 547, 1265, 602, 13869, 3282, 946, 538, 3864, 6517, 568, 6607, 268, 13702, 7566, 269, 667, 31034, 616, 26968, 5944, 1373, 7142, 547, 6445, 909, 609, 513, 4492, 602, 568, 21006, 31140, 267, 2950, 543, 519, 2916, 3034, 291, 4078, 23667, 538, 12868, 454, 289, 1675, 19342, 1500, 689, 3282, 13869, 568, 2808, 519, 1034, 14124, 6915, 325, 3241, 593, 519, 3864, 2344, 269, 898, 568, 5532, 547, 4028, 17717, 538, 3162, 5101, 5607, 799, 568, 4929, 2916, 4657, 3327, 5434, 267, 4104, 11642, 543, 1159, 690, 2066, 519, 3148, 563, 301, 584, 670, 6118, 10620, 267, 2212, 540, 11044, 585, 14886, 540, 519, 3047, 12868, 630, 310, 3201, 26980, 1070, 568, 1165, 5979, 328, 9405, 519, 1646, 540, 2342, 779, 6915, 30669, 3609, 609, 4160, 269, 834, 1607, 11999, 2333, 538, 13869, 3282, 3747, 538, 2342, 568, 32117, 17717, 267, 2244, 1178, 25290, 267, 543, 7526, 538, 12868, 269, 12713, 30669, 3747, 1590, 581, 1309, 5529, 543, 4389, 6382, 2342, 786, 1152, 14556, 1518, 519, 2042, 585, 24414, 1004, 4299, 676, 13869, 3282, 7269, 3034, 4462, 1652, 631, 7968, 338, 8917, 547, 3970, 3747, 585, 6915, 30669, 267, 9167, 16126, 593, 13869, 3282, 786, 1832, 2810, 547, 30593, 9072, 585, 476, 1708, 271, 563, 13971, 476, 2420, 267, 476, 1001, 274, 454, 2304, 7046, 14594, 689, 14886, 540, 519, 3047, 4000, 267, 9896, 676, 1082, 15726, 302, 781, 543, 824, 2516, 689, 4000, 543, 824, 2694, 540, 519, 2622, 267, 799, 568, 1373, 19942, 936, 547, 1896, 20636, 21150, 817, 625, 782, 936, 4000, 563, 2414, 281, 634, 12968, 22789, 4477, 548, 18897, 940, 4149, 577, 28704, 267, 11788, 10579, 540, 519, 8003, 540, 16862, 454, 1103, 1769, 540, 519, 5967, 2016, 676, 707, 10579, 585, 4886, 29046, 267, 4168, 29443, 529, 29732, 267, 593, 519, 476, 280, 628, 540, 713, 3923, 547, 519, 20636, 11356, 7971, 1731, 523, 267, 543, 2921, 883, 2272, 602, 519, 4527, 540, 20636, 24625, 725, 593, 519, 3979, 11782, 7389, 1279, 1354, 519, 7115, 540, 1034, 2477, 1141, 789, 1869, 7500, 2221, 998, 1585, 3906, 602, 1020, 1585, 3785, 543, 2238, 538, 1585, 21384, 540, 519, 2797, 1062, 267, 3540, 2486, 543, 519, 1870, 5823, 267, 649, 3112, 31831, 689, 11589, 938, 27811, 1253, 4292, 585, 519, 771, 27920, 995, 543, 15116, 20748, 1543, 540, 519, 1657, 268, 20197, 5967, 563, 23871, 3578, 581, 5143, 267, 10579, 4168, 29443, 529, 29732, 1767, 4010, 1018, 1082, 14761, 543, 3401, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 19272, 294, 4629, 26685, 7913, 10344, 814, 1082, 5383, 936, 519, 6671, 1505, 269, 2311, 1459, 20749, 2139, 3059, 29555, 332, 1670, 9196, 1949, 3351, 1047, 1152, 513, 6824, 540, 519, 5383, 540, 713, 4480, 543, 930, 540, 873, 723, 4909, 1523, 1308, 2042, 269, 631, 24518, 7495, 306, 16103, 540, 513, 2508, 639, 8254, 267, 513, 1793, 527, 17689, 543, 513, 17655, 8955, 29555, 332, 24005, 941, 7857, 2213, 1210, 3059, 543, 3381, 12514, 543, 5924, 7406, 10544, 828, 6486, 269, 7913, 2592, 543, 9413, 941, 6592, 3842, 513, 2123, 2780, 269, 634, 3239, 10916, 3301, 729, 2919, 1210, 606, 9196, 5399, 543, 1930, 2707, 3301, 269, 634, 6592, 2592, 543, 3381, 9696, 941, 9268, 609, 1614, 1114, 20749, 2139, 10872, 15004, 269, 634, 2592, 941, 2895, 1882, 538, 513, 1472, 7308, 12641, 1442, 3015, 6538, 269, 19419, 17109, 3776, 3059, 9196, 1062, 568, 5827, 547, 2594, 3339, 543, 1164, 6571, 1793, 527, 17689, 2592, 267, 7990, 2508, 639, 2592, 538, 3339, 6571, 267, 12071, 2803, 576, 514, 2587, 25086, 2592, 538, 3339, 543, 1164, 6571, 267, 3059, 21800, 15096, 294, 543, 12071, 2803, 576, 514, 3381, 30231, 9999, 630, 23719, 13496, 264, 543, 1164, 6571, 12550, 2592, 269, 7756, 3252, 267, 552, 3052, 1421, 4334, 19349, 616, 7471, 538, 519, 3239, 7001, 3301, 269, 4107, 540, 519, 6724, 540, 519, 3239, 11601, 616, 14350, 22537, 269, 634, 3059, 3239, 21287, 7028, 2789, 3239, 543, 3381, 12043, 269, 12164, 12710, 4785, 12778, 306, 4635, 3044, 3301, 543, 8800, 3334, 606, 9196, 1062, 666, 581, 9112, 10023, 3252, 2356, 711, 2139, 538, 5010, 3283, 269, 4595, 519, 1062, 568, 22537, 267, 10916, 540, 2592, 609, 513, 2647, 3099, 540, 6724, 267, 552, 3052, 1421, 585, 7403, 585, 3621, 6901, 267, 568, 2009, 269, 0, 28830, 1411, 2052, 1684, 3204, 8973, 2659, 15350, 13809, 5978, 3965, 7494, 2360, 519, 3347, 602, 1004, 723, 2429, 938, 4948, 2729, 269, 1280, 1326, 6888, 1281, 711, 723, 547, 581, 513, 1966, 547, 9290, 707, 2115, 269, 3371, 616, 930, 17512, 881, 4388, 547, 948, 596, 2087, 707, 2634, 1599, 543, 7794, 707, 2489, 3965, 563, 2005, 568, 2009, 547, 5818, 707, 3965, 676, 4730, 2634, 7302, 718, 27701, 3756, 269, 634, 3014, 3252, 607, 3635, 585, 707, 2123, 2634, 267, 538, 519, 1482, 1259, 4881, 1281, 585, 707, 1560, 269, 1306, 596, 949, 3635, 267, 596, 786, 1020, 1732, 3965, 1983, 543, 581, 2111, 547, 13404, 1732, 269, 1411, 786, 3605, 513, 4763, 540, 3756, 602, 4755, 547, 581, 15508, 18398, 269, 2290, 540, 519, 1655, 616, 2262, 3756, 267, 899, 2262, 3406, 543, 30573, 13410, 563, 288, 1434, 15904, 6296, 949, 948, 596, 3251, 2059, 609, 707, 3965, 269, 11644, 22262, 1973, 2095, 593, 519, 2634, 267, 8744, 621, 811, 5135, 543, 5329, 621, 2635, 269, 18227, 707, 1560, 543, 2247, 2635, 1312, 616, 1271, 547, 4509, 621, 267, 1317, 3965, 568, 851, 540, 519, 1259, 707, 2247, 3252, 269, 4518, 719, 568, 849, 519, 1655, 1259, 547, 2061, 3987, 607, 1134, 607, 824, 2042, 602, 666, 11874, 1860, 707, 3965, 563, 288, 27357, 3635, 6296, 949, 948, 596, 3251, 538, 1840, 547, 707, 3965, 269, 1403, 596, 616, 16706, 267, 707, 1973, 786, 2095, 547, 707, 2634, 3330, 513, 1732, 1259, 543, 713, 786, 1832, 519, 2634, 8902, 269, 5221, 3965, 568, 6712, 540, 519, 1259, 707, 2634, 3252, 267, 5329, 707, 1560, 543, 2247, 2635, 616, 3622, 1898, 547, 4509, 621, 269, 670, 9231, 519, 15547, 666, 849, 581, 513, 8748, 1259, 547, 2061, 10108, 971, 607, 3987, 267, 799, 930, 3494, 666, 3648, 2800, 3965, 563, 1805, 1157, 344, 4967, 543, 8638, 616, 11212, 2442, 585, 1346, 1004, 602, 723, 7411, 19551, 1713, 1919, 269, 2142, 2386, 547, 2990, 873, 538, 4025, 596, 666, 2503, 547, 723, 513, 1413, 693, 4749, 267, 607, 606, 1383, 2673, 547, 707, 26099, 269, 1452, 2370, 23106, 1522, 948, 581, 2386, 547, 1810, 1405, 7340, 4376, 1271, 563, 299, 3151, 1346, 18473, 610, 2942, 8369, 666, 2087, 513, 1268, 781, 3965, 269, 5525, 723, 3254, 602, 2566, 543, 2942, 8369, 17225, 519, 3965, 269, 28423, 609, 513, 10629, 547, 3605, 2635, 2409, 540, 2566, 8323, 563, 2252, 596, 2811, 10478, 585, 513, 3965, 5818, 267, 2119, 2866, 256, 1401, 1068, 532, 3054, 8992, 1732, 10009, 543, 5135, 566, 538, 519, 2634, 269, 24367, 513, 1697, 1560, 267, 543, 538, 2490, 513, 1434, 2634, 267, 666, 948, 596, 1491, 1416, 540, 707, 3965, 267, 1317, 3965, 666, 581, 513, 2634, 2534, 269, 11644, 949, 948, 596, 1832, 2476, 3676, 602, 786, 1198, 3965, 563, 2521, 3308, 1944, 519, 8186, 596, 991, 547, 3314, 269, 6733, 585, 12125, 543, 11147, 4143, 547, 519, 3877, 596, 6999, 547, 3314, 891, 3308, 10291, 786, 581, 8357, 1242, 811, 3362, 982, 1913, 269, 6490, 528, 1944, 849, 666, 1831, 4443, 676, 5373, 707, 1378, 2123, 11708, 607, 1134, 607, 824, 3965, 11226, 563, 299, 3151, 707, 3965, 568, 2965, 513, 2182, 3364, 547, 4383, 950, 596, 2085, 269, 7324, 519, 1655, 1919, 799, 666, 581, 2944, 547, 4217, 538, 3965, 2530, 6604, 267, 16887, 538, 811, 9623, 632, 7757, 2550, 267, 568, 13310, 4915, 563, 3725, 701, 520, 1344, 596, 1131, 899, 547, 3314, 856, 10978, 269, 1879, 596, 3605, 519, 2012, 540, 2576, 267, 610, 4376, 267, 10956, 621, 16965, 547, 3479, 3896, 621, 547, 519, 3965, 269, 9701, 596, 5873, 1018, 596, 616, 2965, 3168, 547, 3314, 267, 596, 1058, 723, 513, 1732, 7872, 540, 19551, 621, 2663, 593, 269, 17166, 519, 2012, 856, 10978, 811, 1419, 982, 2899, 8164, 2009, 563, 2791, 1058, 946, 824, 267, 30300, 1513, 543, 13746, 4058, 2645, 269, 5192, 513, 1544, 1676, 15029, 5329, 707, 20499, 543, 849, 547, 28273, 8638, 795, 582, 1540, 1524, 3330, 621, 269, 5269, 513, 8430, 543, 2638, 856, 621, 1169, 1554, 269, 634, 811, 596, 7618, 3054, 540, 4376, 596, 9364, 4782, 547, 3314, 267, 519, 811, 2693, 596, 616, 2469, 547, 4558, 621, 538, 2247, 269, 898, 11081, 707, 3965, 4452, 543, 949, 4196, 607, 6142, 538, 2013, 596, 7340, 1018, 596, 1058, 798, 1985, 563, 763, 1655, 1259, 547, 3314, 8631, 602, 596, 5873, 610, 602, 596, 2811, 5143, 568, 547, 2965, 2990, 519, 1344, 883, 1913, 540, 707, 269, 6056, 540, 621, 607, 556, 8586, 2576, 3116, 781, 960, 269, 901, 1259, 596, 666, 11291, 9623, 4443, 269, 898, 781, 3833, 4101, 585, 1004, 547, 27655, 1022, 1913, 602, 789, 666, 1810, 1405, 2731, 1174, 563, 3080, 2500, 1259, 547, 3635, 519, 2634, 1379, 543, 5818, 707, 4390, 547, 3314, 568, 2141, 547, 1199, 10028, 269, 5047, 267, 9066, 2337, 547, 2569, 707, 19048, 543, 1205, 513, 10709, 1560, 269, 1411, 1131, 899, 547, 1205, 513, 1747, 602, 568, 9350, 543, 3833, 538, 1931, 547, 1199, 10028, 269, 2991, 2072, 596, 1131, 899, 547, 5123, 3388, 856, 267, 543, 7444, 13236, 538, 543, 856, 267, 15603, 979, 540, 1034, 2942, 4555, 269, 15907, 476, 1789, 3764, 3232, 786, 948, 1832, 707, 2634, 3514, 563, 5629, 596, 1246, 891, 4388, 267, 972, 616, 2965, 621, 12863, 547, 1106, 543, 3180, 8823, 269, 1323, 4824, 3965, 666, 14377, 883, 1732, 960, 2773, 543, 1732, 4205, 609, 824, 1004, 269, 22982, 891, 31452, 547, 5818, 707, 5042, 2702, 269, 0, 299, 604, 1729, 742, 540, 2257, 543, 7727, 256, 901, 6640, 693, 476, 1015, 281, 3607, 513, 6230, 269, 29643, 267, 513, 6611, 311, 1948, 291, 16400, 18535, 14361, 2451, 3047, 8876, 811, 982, 476, 275, 267, 8517, 6550, 540, 1382, 3937, 267, 18535, 543, 7727, 602, 786, 1489, 19421, 540, 519, 811, 982, 476, 7742, 13753, 20829, 519, 4139, 6611, 13749, 31822, 1170, 1040, 901, 2706, 2257, 13463, 8283, 8184, 786, 5838, 6901, 543, 3937, 602, 786, 1353, 9259, 593, 519, 6129, 267, 2326, 538, 2890, 6588, 6143, 267, 2230, 22938, 543, 811, 563, 22498, 20691, 4460, 966, 663, 324, 1261, 328, 543, 15608, 3600, 19487, 786, 946, 519, 2230, 6728, 779, 18951, 6186, 547, 7001, 22900, 950, 621, 21128, 693, 519, 6728, 2038, 10732, 6640, 563, 8702, 547, 3047, 256, 8422, 1004, 15354, 1394, 593, 4541, 3047, 713, 6640, 1310, 7836, 811, 982, 2185, 3275, 538, 2230, 269, 8331, 16106, 11969, 344, 645, 637, 23364, 31822, 22349, 549, 298, 558, 8565, 1070, 3864, 6611, 10837, 16106, 14529, 23383, 715, 525, 335, 10008, 543, 14472, 6523, 21573, 5430, 3000, 2246, 5395, 613, 344, 27550, 1794, 753, 7288, 344, 15354, 538, 741, 590, 1195, 15120, 14361, 538, 513, 6552, 1858, 2282, 519, 4884, 540, 2098, 515, 345, 330, 1794, 1146, 267, 27782, 16330, 593, 13628, 267, 5463, 269, 476, 1691, 267, 476, 1001, 278, 693, 476, 274, 281, 4391, 513, 6230, 269, 29643, 563, 29310, 267, 519, 12284, 2818, 8329, 547, 7366, 540, 6901, 538, 7350, 267, 24684, 267, 607, 1134, 607, 3047, 543, 824, 2168, 9443, 20829, 519, 4139, 6611, 13749, 31822, 1170, 1040, 4256, 942, 20829, 6825, 519, 1101, 1279, 3856, 2333, 538, 12284, 2450, 593, 519, 772, 2529, 269, 10126, 540, 519, 4139, 6611, 13749, 689, 1614, 547, 2185, 267, 3850, 721, 547, 11694, 942, 6131, 547, 1382, 593, 519, 6728, 563, 290, 13072, 281, 8331, 20324, 650, 16016, 8712, 1948, 333, 14505, 258, 11898, 258, 11898, 8154, 258, 339, 13224, 6658, 258, 1633, 532, 258, 770, 1258, 2246, 338, 258, 920, 342, 258, 24160, 258, 24610, 258, 8873, 258, 338, 537, 344, 345, 258, 332, 2222, 6588, 6143, 258, 331, 1987, 2218, 258, 339, 8692, 258, 10177, 767, 258, 525, 320, 258, 14029, 657, 21573, 258, 17839, 564, 24160, 258, 14396, 454, 12441, 596, 917, 602, 24974, 30762, 543, 741, 3788, 4534, 968, 27273, 2617, 320, 24790, 892, 4534, 616, 513, 2707, 540, 3114, 2609, 1898, 585, 1272, 1934, 593, 3047, 286, 589, 1007, 932, 18588, 2473, 11920, 25076, 3239, 19306, 519, 4087, 540, 1896, 4105, 2609, 899, 13339, 630, 1042, 1070, 16247, 630, 344, 3641, 1070, 7513, 630, 13582, 264, 543, 4401, 630, 20580, 921, 1070, 4092, 593, 18706, 328, 2100, 807, 589, 4534, 513, 31975, 320, 20276, 656, 9625, 1556, 267, 1822, 1769, 1296, 689, 3047, 563, 2419, 18588, 779, 8325, 2473, 11920, 5075, 2636, 19936, 547, 5531, 2143, 1344, 827, 519, 2609, 602, 3615, 899, 16629, 589, 3132, 269, 1280, 1383, 267, 789, 616, 711, 1152, 2111, 547, 2697, 1082, 540, 519, 2609, 602, 616, 1459, 267, 855, 875, 1454, 540, 1142, 616, 1373, 30461, 883, 26300, 15362, 2230, 563, 23682, 4723, 568, 519, 1034, 10731, 3693, 538, 519, 1480, 1560, 630, 12671, 476, 4792, 260, 676, 2527, 1070, 7513, 2337, 1106, 543, 2226, 2635, 7633, 543, 4522, 267, 543, 4401, 568, 513, 4105, 851, 540, 2699, 1973, 2281, 602, 4163, 5135, 998, 519, 1560, 269, 2353, 540, 519, 5135, 538, 519, 9891, 3590, 2501, 689, 1011, 5317, 7372, 6801, 269, 6168, 3368, 540, 519, 7513, 543, 827, 476, 2412, 260, 540, 519, 4401, 849, 2097, 689, 891, 30762, 267, 609, 519, 3666, 540, 891, 2609, 1373, 13859, 676, 30762, 540, 4130, 2527, 267, 3043, 21221, 6801, 563, 290, 13072, 281, 8331, 14727, 311, 290, 270, 6347, 302, 1948, 333, 14505, 258, 11898, 258, 577, 18588, 258, 27273, 2617, 320, 258, 30161, 8531, 258, 8145, 333, 1218, 258, 2135, 4723, 258, 21666, 258, 23755, 258, 324, 6123, 258, 2041, 2246, 3814, 258, 335, 27348, 21510, 1117, 599, 258, 335, 4815, 1111, 1117, 599, 258, 684, 5744, 258, 338, 565, 1513, 2448, 258, 5632, 6458, 258, 560, 1513, 258, 24160, 258, 343, 2001, 258, 10849, 969, 2218, 258, 770, 25348, 258, 770, 1258, 12002, 454, 10673, 1406, 581, 18174, 539, 256, 634, 17184, 2220, 20071, 540, 6801, 538, 713, 26931, 6611, 23571, 31822, 22498, 29878, 1076, 264, 3239, 949, 3100, 22471, 559, 543, 796, 817, 11167, 267, 855, 713, 18700, 14925, 2965, 10525, 930, 23292, 21274, 563, 1103, 5239, 540, 476, 1001, 272, 267, 513, 3032, 659, 569, 338, 6193, 16802, 540, 1164, 20589, 18325, 11920, 5982, 2443, 1634, 607, 513, 18325, 11920, 16802, 2443, 729, 9571, 4947, 689, 519, 3148, 540, 6607, 5627, 713, 14925, 269, 13562, 12002, 3494, 602, 519, 14925, 729, 519, 3984, 540, 519, 16802, 267, 2016, 602, 519, 4960, 540, 513, 14626, 1211, 531, 12972, 1063, 519, 1079, 568, 10199, 476, 272, 538, 476, 1015, 2929, 269, 2311, 513, 3845, 540, 1472, 476, 6977, 2929, 1769, 26188, 689, 3047, 267, 621, 729, 519, 2034, 12641, 657, 652, 18325, 11920, 16802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 2295, 540, 14297, 19519, 267, 972, 729, 513, 1507, 1893, 1153, 3957, 590, 752, 3120, 9142, 269, 634, 30028, 6035, 1585, 4654, 689, 782, 1472, 519, 1158, 267, 855, 922, 1034, 2442, 5049, 941, 17216, 14082, 543, 5545, 269, 2290, 1554, 267, 606, 2856, 3357, 909, 1851, 519, 3610, 910, 789, 4956, 547, 10891, 513, 2686, 5385, 2680, 1063, 1053, 4974, 891, 1079, 4654, 780, 2026, 3570, 267, 513, 1762, 4807, 689, 8478, 267, 1185, 5063, 6410, 547, 3567, 1310, 18138, 1200, 4110, 538, 23008, 2524, 269, 2701, 3323, 3450, 14082, 693, 590, 752, 3120, 9142, 543, 17947, 1169, 4316, 547, 6338, 1200, 2528, 547, 1866, 269, 4173, 26393, 267, 670, 25950, 328, 267, 6026, 5545, 543, 6068, 1565, 827, 1007, 4529, 5128, 269, 1358, 1500, 606, 5140, 2319, 12180, 2621, 585, 519, 1053, 780, 3080, 13566, 12784, 267, 1306, 3570, 4607, 513, 15116, 4757, 5627, 513, 2582, 4845, 2854, 538, 14082, 267, 834, 305, 529, 657, 552, 552, 340, 15073, 865, 3691, 579, 2742, 610, 22468, 267, 1003, 320, 818, 341, 648, 267, 900, 4911, 7637, 1701, 898, 10199, 5921, 1412, 299, 5922, 543, 594, 1224, 827, 606, 610, 4445, 2921, 1747, 593, 513, 3529, 538, 4911, 7637, 9538, 4014, 1352, 1336, 621, 9642, 569, 993, 6748, 267, 1306, 3570, 7691, 621, 1131, 1118, 513, 1390, 3635, 585, 1200, 4359, 1362, 269, 1924, 1352, 5423, 513, 8144, 7084, 1759, 593, 519, 4845, 1510, 13031, 1141, 621, 2965, 3357, 689, 780, 288, 1906, 2395, 2663, 267, 1282, 741, 2834, 8400, 267, 1306, 3570, 19942, 856, 12215, 540, 519, 12357, 4845, 543, 25009, 873, 547, 14377, 621, 883, 5545, 607, 8308, 607, 2009, 1247, 8497, 1022, 9644, 1459, 538, 519, 3312, 3948, 269, 2991, 930, 3355, 10539, 267, 1200, 1053, 798, 557, 883, 1382, 7154, 267, 3843, 547, 1174, 1142, 2262, 781, 2495, 543, 23115, 856, 875, 1655, 547, 6655, 621, 1369, 519, 2796, 540, 519, 3077, 1893, 780, 2691, 3025, 8737, 24758, 267, 789, 3838, 741, 2164, 16965, 269, 2368, 1031, 1463, 16627, 267, 4611, 538, 26101, 2453, 4904, 609, 1761, 21390, 267, 1247, 1866, 6836, 6220, 11029, 16082, 799, 3366, 547, 554, 559, 13895, 12496, 269, 27933, 560, 17409, 543, 1750, 619, 267, 1306, 3570, 7000, 519, 3020, 5169, 540, 519, 4845, 267, 4929, 1256, 811, 17254, 326, 956, 2429, 519, 4055, 780, 9961, 713, 1184, 267, 1896, 3407, 4245, 7153, 912, 268, 4197, 2686, 11029, 2906, 666, 3648, 1764, 2792, 563, 268, 6452, 23847, 8144, 3884, 1405, 1175, 827, 21055, 10096, 282, 3159, 6927, 1932, 563, 268, 6884, 267, 1919, 1205, 4503, 538, 8144, 267, 3056, 547, 6397, 2943, 14973, 3871, 780, 4913, 267, 835, 2875, 3576, 1010, 4305, 1259, 1932, 12517, 269, 570, 1389, 6062, 267, 1634, 585, 1373, 22350, 8013, 267, 2968, 18930, 539, 609, 4466, 519, 3501, 8144, 269, 1261, 21503, 14916, 267, 31570, 2789, 2959, 267, 543, 13736, 973, 1746, 1010, 4528, 2394, 646, 5433, 8746, 2614, 547, 2671, 621, 15597, 269, 10251, 267, 3079, 540, 2519, 593, 519, 1187, 2460, 15091, 676, 1306, 3570, 267, 646, 4368, 730, 9003, 593, 12419, 519, 1034, 4977, 14906, 819, 2009, 780, 307, 1389, 6062, 13984, 513, 2199, 11018, 18799, 676, 1776, 1893, 1153, 267, 703, 2056, 547, 13686, 1010, 11108, 1983, 269, 1133, 10277, 540, 519, 22488, 2470, 3297, 519, 4845, 267, 646, 5189, 5128, 543, 23217, 4843, 1010, 25509, 8144, 269, 8125, 775, 8593, 2390, 519, 15624, 1354, 21074, 532, 883, 17409, 269, 21150, 1551, 21724, 267, 570, 1389, 6062, 9292, 3072, 569, 2451, 519, 28379, 267, 16734, 1152, 1287, 602, 3006, 9644, 959, 7927, 19870, 780, 12988, 693, 590, 752, 3120, 9142, 267, 1306, 3570, 4121, 827, 1018, 5949, 543, 14059, 570, 1389, 6062, 269, 2060, 11587, 543, 1620, 267, 1352, 6045, 1946, 1010, 1935, 14406, 519, 1665, 269, 901, 5872, 18056, 1864, 602, 1565, 4654, 4422, 3564, 8239, 3652, 543, 6863, 8638, 269, 12056, 609, 824, 4529, 1797, 8220, 609, 1004, 267, 4687, 2833, 267, 543, 19825, 3604, 1765, 718, 20386, 538, 513, 24120, 540, 2463, 543, 22371, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 9743, 15297, 281, 1411, 616, 2016, 513, 4845, 538, 14082, 269, 2659, 2816, 568, 547, 14377, 519, 14082, 4845, 883, 5545, 563, 19152, 281, 630, 305, 529, 657, 264, 661, 15073, 865, 3691, 579, 2742, 610, 22468, 267, 1003, 320, 3331, 350, 337, 341, 648, 267, 900, 4911, 7637, 563, 20479, 912, 27818, 21588, 495, 24724, 11210, 351, 12530, 367, 11210, 368, 12530, 358, 28374, 10951, 357, 28374, 18809, 7430, 356, 27310, 11210, 493, 11210, 490, 7430, 509, 18263, 365, 419, 501, 368, 418, 364, 501, 421, 357, 496, 7430, 492, 7430, 360, 7430, 353, 7430, 482, 7430, 355, 420, 359, 511, 7430, 379, 7430, 378, 7430, 501, 7430, 509, 12486, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 24531, 519, 18903, 540, 8109, 2342, 692, 5970, 596, 2479, 26927, 3139, 540, 3695, 4190, 4025, 609, 4241, 12583, 543, 4529, 286, 4270, 267, 972, 781, 513, 851, 540, 2342, 602, 1522, 9983, 596, 910, 8109, 2342, 256, 901, 6909, 3148, 952, 2407, 540, 5863, 24738, 267, 8949, 1426, 267, 7874, 1004, 267, 543, 1655, 540, 782, 267, 621, 666, 581, 3833, 10097, 585, 17631, 269, 2913, 781, 7832, 593, 606, 7045, 1927, 543, 1451, 827, 930, 9735, 8109, 3864, 18353, 2439, 5575, 1055, 267, 1577, 803, 2995, 596, 827, 26285, 826, 267, 4092, 538, 519, 2295, 540, 519, 16231, 6243, 269, 1358, 1289, 621, 834, 763, 4975, 540, 513, 25569, 1975, 2231, 2437, 1317, 950, 596, 1413, 693, 922, 6607, 1467, 267, 596, 1294, 865, 1082, 7381, 267, 1448, 344, 20610, 8757, 909, 2509, 519, 12269, 269, 898, 781, 3592, 899, 3168, 693, 513, 4023, 12682, 1446, 14745, 2097, 547, 1272, 256, 2368, 2442, 9634, 538, 26285, 826, 616, 1384, 265, 26285, 826, 16836, 281, 589, 7372, 1950, 4904, 609, 5493, 2167, 267, 15882, 267, 10651, 267, 543, 1256, 513, 26720, 256, 5994, 4730, 12404, 7146, 5498, 2131, 1851, 891, 6264, 5656, 563, 265, 8176, 15167, 281, 1323, 3504, 8115, 20898, 609, 24112, 267, 8220, 1079, 5011, 540, 519, 2749, 936, 741, 5757, 1572, 519, 966, 2741, 6072, 269, 3807, 4952, 6972, 2059, 621, 1282, 23863, 543, 2921, 538, 519, 32154, 5784, 2336, 265, 6196, 16011, 12384, 281, 901, 14297, 4009, 8075, 10477, 3046, 20529, 5656, 267, 844, 5593, 22538, 525, 267, 8265, 22407, 267, 543, 1256, 606, 24666, 9219, 6580, 1394, 547, 10120, 2053, 269, 1548, 3579, 11580, 1223, 602, 2025, 9219, 3180, 2496, 3086, 267, 3640, 707, 11435, 1586, 1317, 649, 2811, 16144, 547, 1776, 15999, 3854, 2749, 1107, 14863, 777, 652, 538, 21640, 256, 5192, 4712, 547, 21649, 707, 4064, 593, 18198, 6189, 267, 971, 607, 519, 4583, 20456, 15167, 15385, 519, 8355, 4209, 5211, 543, 11836, 14863, 320, 630, 821, 2427, 540, 519, 2749, 264, 609, 28814, 630, 1492, 824, 3368, 1040, 1656, 7058, 1018, 286, 5637, 2694, 2709, 2189, 2833, 2439, 1103, 14863, 320, 267, 596, 786, 1265, 1384, 265, 634, 9576, 20066, 281, 4495, 1753, 547, 15438, 543, 30842, 267, 1631, 9927, 883, 15882, 1141, 2984, 540, 1279, 3516, 1869, 16079, 998, 519, 31508, 563, 265, 17384, 2006, 781, 645, 770, 542, 281, 623, 2075, 1117, 1164, 2390, 513, 14629, 267, 5356, 31858, 25271, 5784, 540, 519, 3003, 2749, 2630, 269, 14348, 333, 1405, 621, 1745, 899, 1373, 4622, 610, 15596, 3054, 1247, 8098, 3931, 971, 5898, 2496, 19602, 267, 538, 28814, 267, 1810, 1405, 4413, 856, 593, 1384, 265, 853, 269, 15537, 781, 29092, 3821, 281, 2290, 540, 519, 4102, 13039, 538, 21640, 267, 1634, 585, 922, 11141, 26434, 543, 30811, 9703, 1374, 269, 16514, 7555, 3330, 267, 11303, 676, 31676, 26274, 563, 265, 1684, 327, 5451, 5500, 9335, 14271, 698, 4084, 281, 634, 7887, 31263, 4084, 538, 2342, 543, 2034, 4102, 538, 519, 1158, 267, 15386, 513, 7415, 3575, 540, 11265, 6163, 269, 6056, 827, 875, 1114, 10764, 723, 2451, 741, 7436, 2429, 1686, 780, 2467, 781, 865, 1454, 811, 547, 3605, 827, 8109, 2342, 267, 855, 594, 4126, 713, 4367, 814, 17275, 707, 7279, 256, 5457, 267, 10707, 3884, 1405, 1175, 827, 9683, 1007, 4025, 282, 621, 781, 849, 1565, 827, 3309, 4529, 267, 5870, 8748, 17137, 267, 3843, 17705, 3536, 267, 1818, 20605, 8823, 267, 543, 3395, 607, 1930, 16490, 2043, 269, 1924, 1832, 3695, 267, 1250, 1762, 7045, 3464, 267, 543, 945, 6487, 286, 9320, 835, 1554, 649, 3513, 2743, 538, 1268, 538, 835, 540, 1346, 9589, 15174, 540, 8109, 2342, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18698, 519, 25925, 540, 8109, 2342, 454, 2691, 621, 2501, 547, 10097, 2951, 18353, 538, 2342, 267, 8109, 2342, 568, 1419, 15763, 269, 1717, 267, 713, 3148, 3091, 18198, 8916, 267, 3638, 1686, 267, 543, 23406, 4872, 602, 666, 3362, 3514, 883, 1022, 6578, 269, 3245, 519, 7524, 10754, 540, 14863, 777, 652, 547, 519, 28677, 17822, 540, 23886, 807, 267, 8109, 2342, 814, 1945, 585, 1169, 1826, 540, 2951, 518, 269, 1403, 596, 1616, 547, 917, 811, 827, 519, 1641, 4988, 267, 10274, 593, 10707, 899, 513, 2199, 4179, 2517, 339, 8692, 321, 28854, 2389, 321, 2593, 267, 2263, 519, 24617, 6074, 5007, 1570, 547, 7110, 707, 1353, 543, 22962, 707, 1620, 540, 519, 1641, 563, 303, 4048, 826, 267, 16231, 6243, 281, 19612, 607, 519, 968, 30949, 540, 513, 25569, 1975, 2231, 2223, 26285, 826, 568, 513, 1590, 23724, 527, 10278, 585, 6578, 17631, 269, 634, 2749, 3091, 10875, 6189, 267, 25865, 4565, 9693, 10754, 267, 543, 513, 7524, 3781, 5158, 269, 6250, 6002, 666, 2263, 8978, 4609, 899, 26285, 826, 16836, 543, 8176, 15167, 267, 610, 3274, 32603, 1472, 519, 23406, 6196, 16011, 12384, 563, 289, 644, 777, 652, 267, 21640, 281, 2060, 922, 10875, 9095, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 279, 281, 9861, 15765, 22893, 910, 5398, 6796, 543, 595, 15960, 22580, 692, 5331, 2348, 519, 4316, 547, 7390, 513, 1283, 6280, 781, 1876, 1982, 543, 10927, 1510, 9878, 1022, 24875, 12375, 256, 16319, 1932, 1434, 547, 581, 3020, 286, 4270, 267, 621, 666, 4755, 952, 596, 1397, 11428, 547, 7674, 707, 2146, 998, 1857, 3028, 269, 901, 3184, 786, 6338, 596, 547, 1018, 1857, 3028, 1797, 543, 875, 596, 666, 1376, 3478, 3238, 1256, 607, 513, 1647, 1153, 2875, 269, 1924, 1577, 781, 4685, 1318, 883, 519, 1158, 540, 18523, 6278, 2439, 14276, 3028, 4016, 547, 3527, 3144, 676, 2043, 610, 3906, 602, 4324, 2486, 693, 1804, 269, 1452, 2533, 1223, 2039, 689, 24749, 693, 2199, 1426, 8492, 267, 4543, 2973, 909, 11614, 267, 23468, 7820, 3214, 267, 10283, 538, 8378, 4585, 3292, 267, 610, 14957, 585, 1732, 4507, 538, 707, 4884, 269, 634, 3804, 568, 2141, 547, 948, 1866, 543, 2087, 519, 8171, 540, 1346, 1472, 721, 780, 3086, 267, 1946, 1131, 9945, 2709, 25689, 899, 519, 835, 5018, 693, 519, 4098, 540, 713, 3184, 286, 15439, 2322, 267, 891, 5238, 1616, 547, 1489, 2104, 3401, 945, 723, 7152, 1416, 543, 6161, 585, 741, 2950, 3564, 19174, 269, 1635, 5356, 971, 3255, 267, 789, 4126, 547, 20741, 17519, 8186, 4712, 547, 10994, 1950, 6848, 2152, 1247, 4758, 1394, 547, 2486, 780, 3383, 267, 875, 666, 9358, 1205, 3323, 609, 1857, 3028, 543, 6542, 707, 7029, 547, 4742, 606, 3742, 12504, 286, 3371, 616, 930, 2241, 3268, 1384, 272, 269, 10576, 12983, 2334, 17460, 1677, 1411, 281, 1772, 972, 1945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16336, 3040, 4989, 476, 272, 267, 476, 1708, 271, 3040, 22227, 5510, 593, 13028, 476, 1015, 25587, 1977, 22439, 5808, 932, 6548, 9085, 2622, 454, 24145, 1155, 607, 513, 1106, 540, 1148, 814, 1082, 20030, 282, 621, 3091, 12326, 267, 4930, 267, 2565, 8039, 267, 543, 3594, 269, 769, 1153, 267, 16929, 3651, 6780, 4247, 602, 616, 1603, 269, 10749, 676, 4583, 2475, 4589, 2119, 547, 5965, 10453, 585, 519, 2009, 3924, 2591, 4448, 609, 1603, 269, 25587, 1977, 5830, 602, 723, 5189, 1158, 779, 1034, 11593, 3730, 9089, 12913, 2442, 3594, 269, 589, 1297, 540, 873, 4766, 835, 779, 1272, 269, 4033, 4583, 5830, 602, 616, 7819, 5065, 10639, 585, 602, 1448, 269, 476, 866, 555, 2540, 1185, 1044, 3226, 3638, 585, 519, 3594, 602, 616, 1390, 563, 2005, 568, 607, 1454, 607, 519, 1762, 2278, 547, 2824, 4896, 547, 3635, 269, 1403, 596, 6999, 547, 4487, 519, 1148, 540, 1603, 267, 4983, 891, 2442, 2475, 4589, 269, 3367, 693, 2547, 4574, 602, 616, 1896, 676, 873, 547, 5818, 707, 1620, 563, 1607, 2376, 7727, 519, 2039, 540, 1283, 1790, 516, 31084, 3594, 3370, 676, 2442, 5830, 602, 616, 7819, 269, 4855, 5830, 689, 1114, 1394, 2666, 543, 5712, 602, 616, 3140, 269, 19594, 538, 2247, 519, 4162, 540, 1557, 281, 5618, 267, 13801, 267, 3007, 3766, 4599, 6883, 267, 543, 4277, 563, 763, 1360, 1101, 812, 547, 3314, 568, 6276, 25930, 7773, 269, 23095, 538, 476, 4572, 275, 267, 519, 1126, 6170, 1250, 6107, 1927, 609, 1010, 1900, 15289, 945, 1185, 1044, 513, 17308, 602, 568, 12013, 541, 269, 25930, 7773, 6170, 1250, 6107, 609, 476, 279, 3214, 282, 646, 779, 2760, 2479, 6956, 1022, 971, 3364, 827, 1010, 19033, 267, 865, 741, 9636, 568, 2219, 713, 2186, 540, 4773, 607, 968, 307, 749, 803, 13948, 607, 4166, 607, 519, 5721, 2451, 892, 610, 968, 294, 328, 990, 28839, 779, 18740, 269, 9232, 4256, 5339, 3924, 941, 1152, 2139, 538, 5682, 16049, 22810, 269, 2334, 5544, 2838, 741, 5869, 7247, 1223, 17869, 909, 519, 6237, 17069, 864, 23493, 538, 6710, 563, 763, 5354, 540, 25930, 7773, 779, 5931, 28586, 3617, 585, 519, 942, 10168, 267, 10503, 2043, 2115, 547, 581, 782, 3160, 269, 8617, 14213, 338, 3196, 519, 7376, 602, 568, 4583, 1847, 547, 5333, 563, 7197, 11593, 3730, 3594, 540, 1034, 1318, 942, 2874, 540, 513, 1906, 2442, 1568, 540, 5856, 912, 306, 1723, 582, 674, 269, 32684, 267, 4535, 538, 476, 6245, 277, 267, 568, 4583, 2136, 2276, 1650, 602, 568, 2110, 543, 29787, 269, 1261, 1134, 14550, 519, 27227, 6520, 282, 32684, 568, 513, 13730, 267, 28165, 4759, 540, 968, 299, 739, 19087, 892, 630, 4572, 271, 338, 1040, 476, 13932, 3594, 2476, 689, 476, 275, 10070, 540, 2656, 8941, 1185, 1044, 3370, 538, 2442, 17476, 602, 616, 7819, 1010, 1272, 942, 563, 293, 6308, 23878, 1185, 1044, 513, 2318, 835, 945, 4330, 519, 6667, 543, 4430, 525, 540, 741, 2085, 269, 32684, 1223, 581, 519, 21917, 540, 2442, 968, 763, 4279, 30056, 267, 9232, 602, 729, 1121, 770, 1229, 543, 2083, 4364, 476, 273, 2053, 269, 4033, 2278, 779, 602, 568, 4583, 616, 912, 763, 17055, 540, 519, 5767, 14948, 998, 519, 1920, 602, 568, 9925, 880, 547, 3132, 513, 1906, 25704, 1655, 1557, 5830, 2228, 269, 1977, 7376, 16453, 25357, 518, 6192, 12370, 282, 713, 2852, 1500, 1864, 2648, 5339, 1568, 269, 4438, 519, 12225, 559, 16479, 2085, 540, 476, 1240, 267, 646, 3459, 741, 5856, 779, 4876, 269, 12370, 30039, 519, 4583, 5856, 609, 12805, 7071, 563, 763, 6574, 3594, 540, 25357, 518, 1331, 912, 293, 24580, 5856, 29315, 9894, 542, 5170, 547, 581, 2139, 281, 1352, 12090, 689, 6970, 543, 3459, 547, 17492, 1200, 6679, 3594, 1282, 519, 12225, 559, 16479, 2085, 540, 2947, 269, 634, 2370, 8004, 6836, 547, 1224, 782, 2009, 2835, 1336, 538, 741, 19887, 1247, 1200, 3237, 6108, 3003, 2395, 693, 960, 269, 4173, 25328, 1377, 630, 6635, 1206, 543, 2296, 1893, 264, 19443, 1200, 6612, 269, 2701, 2965, 568, 1851, 519, 1592, 540, 1557, 602, 568, 4583, 540, 713, 476, 736, 555, 2540, 607, 9894, 542, 24441, 2413, 2245, 676, 6964, 538, 968, 309, 4084, 892, 4012, 269, 634, 2278, 779, 602, 568, 2442, 1331, 912, 16449, 782, 5830, 538, 2475, 1686, 267, 12920, 532, 3118, 1185, 1044, 519, 4487, 602, 568, 3020, 540, 282, 646, 5189, 519, 2656, 652, 3594, 23995, 1559, 1500, 689, 3670, 1913, 256, 901, 2442, 21184, 602, 568, 7819, 741, 10058, 1374, 602, 786, 581, 18562, 23652, 676, 4207, 12372, 269, 5272, 1557, 646, 7768, 1185, 1044, 2653, 547, 1224, 269, 1261, 14284, 9306, 6216, 1007, 5396, 610, 9001, 1950, 1913, 282, 596, 666, 2070, 621, 689, 741, 1082, 4583, 3594, 912, 5194, 5856, 602, 568, 4583, 7917, 2311, 9774, 269, 1261, 1185, 1044, 2813, 538, 476, 3707, 271, 282, 646, 24865, 689, 562, 329, 20642, 28478, 8124, 269, 5565, 2442, 9945, 267, 5590, 517, 8065, 543, 31089, 7970, 267, 1185, 713, 3332, 27423, 1851, 519, 1034, 2500, 2540, 1053, 269, 2974, 2278, 8694, 909, 1373, 6131, 547, 6721, 2984, 602, 616, 2110, 741, 1272, 942, 912, 1607, 2540, 17358, 15537, 3751, 2899, 519, 1034, 3730, 2475, 16897, 3391, 5856, 269, 1261, 814, 3893, 4583, 3594, 1851, 741, 5339, 1568, 1932, 281, 741, 2442, 3594, 616, 851, 540, 519, 2516, 281, 16750, 5708, 267, 24457, 267, 543, 5326, 269, 1452, 11353, 540, 3332, 2285, 3007, 547, 19051, 3557, 269, 4279, 4773, 646, 7768, 1039, 912, 288, 4583, 2136, 2829, 3357, 547, 581, 538, 476, 3422, 279, 269, 4256, 6612, 585, 6138, 4957, 883, 519, 2648, 540, 3332, 282, 519, 5856, 5833, 513, 28730, 538, 2296, 3332, 543, 1893, 269, 6424, 23340, 28615, 8246, 5339, 1568, 2016, 602, 3926, 547, 10826, 540, 2834, 1244, 11306, 269, 28615, 5293, 2476, 3823, 519, 11311, 6646, 267, 855, 646, 729, 2111, 547, 2671, 741, 1034, 3730, 1568, 1927, 2528, 912, 293, 13904, 1977, 4589, 540, 476, 736, 2540, 602, 568, 555, 3627, 5062, 303, 31649, 538, 519, 1592, 269, 1261, 1223, 581, 519, 22082, 540, 19511, 15923, 282, 646, 4465, 513, 17240, 12688, 15356, 538, 741, 9135, 269, 25587, 1977, 5856, 6035, 14222, 13622, 5220, 799, 19443, 547, 10544, 3077, 5467, 779, 3007, 24672, 269, 1261, 1185, 1044, 19761, 602, 568, 3450, 23134, 2160, 267, 4687, 741, 1034, 3730, 3594, 563, 293, 13904, 1977, 4589, 1592, 2882, 19626, 590, 2632, 698, 267, 513, 1134, 1634, 21522, 19784, 689, 1007, 26294, 269, 2659, 608, 1185, 2828, 602, 616, 16494, 12326, 543, 4583, 1977, 9089, 950, 1352, 1185, 1044, 1762, 269, 634, 5856, 3927, 5293, 2556, 11400, 547, 4283, 12370, 2160, 1141, 1352, 4362, 2296, 3332, 547, 1205, 3054, 513, 9457, 540, 13898, 269, 769, 10228, 267, 4583, 21522, 11402, 4049, 4008, 2152, 543, 13934, 2404, 2042, 3330, 1200, 3355, 3594, 269, 2701, 882, 11343, 547, 8303, 547, 11166, 519, 14230, 540, 1200, 1568, 1373, 14593, 538, 519, 721, 320, 563, 2026, 4166, 607, 596, 1294, 519, 6700, 3332, 267, 596, 3580, 723, 606, 2856, 540, 875, 513, 1650, 270, 22967, 602, 568, 2110, 1413, 256, 9701, 596, 1616, 547, 1205, 14222, 2688, 1557, 267, 5544, 513, 6718, 609, 942, 2389, 6479, 4416, 2880, 1603, 2319, 2228, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 7074, 2278, 540, 2835, 971, 607, 645, 18443, 5025, 6113, 344, 267, 18599, 9741, 3933, 9094, 267, 543, 769, 519, 13957, 28881, 267, 1851, 1866, 267, 5747, 19108, 540, 8374, 540, 513, 8482, 693, 2085, 476, 10695, 888, 12585, 281, 544, 4768, 823, 536, 1716, 731, 6494, 752, 0, 9223, 281, 476, 634, 834, 29602, 3044, 257, 609, 799, 2829, 543, 1875, 8063, 9988, 616, 24565, 267, 2687, 547, 12448, 966, 8712, 267, 568, 602, 454, 288, 269, 5208, 676, 1875, 8063, 9988, 568, 811, 3362, 7608, 982, 1533, 5208, 563, 289, 269, 1533, 5208, 568, 5701, 8335, 689, 1875, 332, 26090, 2962, 676, 519, 1533, 630, 324, 3052, 1421, 2804, 24476, 1916, 290, 269, 1533, 5208, 568, 811, 3362, 7608, 982, 5208, 676, 1875, 8063, 9988, 563, 291, 269, 1533, 5208, 568, 11117, 3842, 1175, 2112, 3069, 267, 855, 5208, 676, 1875, 8063, 9988, 568, 11117, 3842, 3702, 1113, 1143, 563, 12585, 281, 595, 0, 1692, 1131, 513, 6093, 1268, 2626, 1142, 540, 519, 1739, 2055, 827, 1757, 566, 2496, 454, 9223, 281, 589, 7703, 543, 513, 21963, 32120, 941, 3254, 513, 4216, 2407, 540, 11954, 22796, 269, 8307, 12217, 941, 4847, 547, 1491, 22796, 267, 6466, 21963, 327, 9233, 941, 711, 4847, 547, 1491, 873, 269, 634, 21963, 32120, 729, 1459, 950, 519, 1007, 4341, 827, 15513, 946, 729, 9307, 269, 4475, 267, 519, 21963, 32120, 6785, 827, 519, 1007, 2343, 269, 5637, 2831, 3124, 2299, 3576, 22796, 856, 540, 519, 4216, 3670, 2053, 269, 2311, 2063, 267, 519, 21963, 32120, 543, 519, 7703, 3357, 547, 519, 4216, 543, 8195, 3576, 513, 15513, 269, 589, 2110, 942, 2663, 267, 1776, 3662, 267, 513, 8701, 7703, 267, 14059, 519, 4216, 5275, 513, 15513, 547, 798, 1010, 6780, 609, 269, 1717, 267, 972, 941, 1100, 22796, 2451, 538, 519, 4216, 269, 634, 8701, 7703, 1223, 711, 9096, 1010, 6780, 269, 9894, 519, 21963, 32120, 2014, 519, 1966, 888, 476, 932, 7860, 281, 3097, 288, 269, 8786, 454, 289, 269, 3143, 454, 12585, 281, 645, 0, 9223, 281, 6341, 9546, 2023, 267, 519, 13653, 540, 9546, 5336, 691, 267, 729, 4535, 538, 3751, 8127, 267, 20274, 593, 4728, 476, 3066, 267, 476, 4489, 279, 269, 1261, 729, 6659, 538, 16713, 1141, 646, 5249, 538, 1010, 4651, 781, 4558, 1247, 11504, 1153, 269, 901, 729, 1010, 1101, 1427, 9430, 567, 1995, 543, 646, 2731, 10150, 621, 269, 2991, 22692, 267, 646, 3459, 1010, 1378, 4876, 607, 513, 10685, 21471, 269, 1261, 4166, 8118, 1010, 1101, 9546, 5336, 691, 4558, 538, 476, 3422, 273, 538, 29124, 267, 23916, 269, 9546, 5336, 691, 7463, 538, 2012, 12478, 693, 1970, 5777, 543, 6341, 9546, 2023, 729, 14281, 693, 519, 1967, 269, 17652, 513, 5832, 540, 9546, 5336, 691, 8637, 16204, 836, 909, 2066, 6917, 3013, 269, 9546, 2023, 781, 2359, 2511, 729, 2442, 609, 5520, 543, 646, 8547, 930, 540, 519, 2596, 2035, 540, 2359, 602, 616, 1869, 538, 946, 2221, 269, 2991, 2921, 519, 2754, 1857, 538, 476, 3192, 271, 267, 9546, 2023, 5189, 1010, 834, 16118, 4687, 1544, 2668, 634, 7443, 4687, 1544, 729, 513, 1544, 585, 9546, 5336, 691, 5520, 547, 2087, 741, 4747, 8200, 593, 519, 12434, 540, 519, 4558, 269, 6341, 9546, 2023, 5156, 602, 834, 785, 1339, 338, 1810, 1405, 3094, 267, 6887, 798, 2668, 31740, 693, 9546, 5336, 691, 8637, 941, 6035, 6006, 3681, 567, 543, 4558, 28774, 269, 1452, 2640, 616, 28125, 2221, 267, 855, 9546, 2023, 729, 1851, 519, 1101, 547, 2936, 567, 873, 269, 9546, 2023, 5156, 602, 513, 6126, 9441, 5921, 6126, 5561, 543, 811, 6455, 269, 1261, 849, 5156, 602, 676, 4758, 5520, 513, 851, 540, 519, 2754, 543, 1818, 741, 1967, 8200, 593, 519, 2754, 781, 1967, 267, 789, 1131, 1416, 827, 519, 2754, 269, 1635, 519, 476, 2735, 271, 338, 267, 9546, 5336, 691, 1185, 6455, 540, 936, 835, 5479, 9489, 543, 936, 1614, 4627, 8637, 2066, 3345, 3013, 269, 9546, 5336, 691, 781, 2189, 18228, 567, 3892, 1062, 267, 849, 9546, 2023, 781, 2856, 267, 2813, 519, 9041, 2877, 547, 2417, 5000, 2208, 538, 519, 476, 2735, 271, 338, 1282, 3395, 20286, 602, 519, 834, 27273, 32697, 257, 729, 16069, 4130, 543, 2757, 8637, 689, 3384, 269, 1635, 476, 1960, 272, 267, 9546, 5336, 691, 729, 519, 4102, 2475, 10685, 518, 609, 476, 272, 267, 10384, 8637, 269, 9546, 2023, 7283, 3742, 538, 5883, 519, 2754, 267, 607, 7022, 543, 16628, 2394, 476, 2735, 279, 543, 28579, 2394, 1010, 2669, 269, 1261, 729, 13752, 519, 29274, 540, 15213, 16172, 1354, 1010, 2669, 269, 6904, 540, 519, 6898, 568, 13138, 16604, 888, 288, 269, 2060, 9546, 2023, 781, 2359, 2511, 267, 5520, 5701, 519, 8637, 607, 741, 1378, 563, 289, 269, 9546, 2023, 7012, 1405, 835, 540, 519, 22278, 945, 1101, 8045, 6006, 3681, 563, 290, 269, 634, 4130, 543, 2757, 8637, 941, 1134, 4299, 676, 9546, 2023, 781, 8637, 563, 291, 269, 769, 1010, 2025, 2085, 267, 9546, 2023, 5795, 782, 519, 2359, 547, 1010, 2367, 563, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5835, 12266, 2462, 5068, 17180, 834, 536, 834, 2462, 5835, 12266, 5068, 17180, 834, 15017, 288, 281, 536, 0, 9223, 281, 2201, 4989, 476, 736, 267, 1001, 274, 267, 513, 2462, 543, 3532, 13091, 16091, 962, 320, 262, 534, 267, 590, 747, 10224, 19435, 269, 589, 1390, 1082, 5656, 543, 8075, 9041, 513, 2603, 540, 1004, 941, 7166, 543, 1256, 811, 1004, 4503, 741, 5321, 538, 519, 13091, 1547, 12280, 17167, 689, 519, 476, 278, 269, 271, 2173, 1725, 3363, 13091, 602, 5734, 962, 320, 262, 534, 538, 27623, 3624, 781, 590, 747, 10224, 19435, 814, 24111, 547, 476, 6642, 630, 553, 540, 476, 1240, 281, 876, 10681, 267, 4989, 476, 2420, 267, 16532, 2687, 547, 5767, 9273, 676, 2199, 6406, 16457, 13163, 269, 2311, 2547, 476, 1556, 267, 279, 2918, 941, 27333, 13676, 538, 519, 844, 820, 1247, 476, 1839, 616, 1869, 7508, 267, 519, 17531, 1767, 269, 20226, 616, 9027, 908, 1454, 1447, 25096, 538, 519, 844, 820, 982, 602, 689, 519, 476, 279, 269, 271, 9588, 844, 820, 5734, 654, 26067, 10224, 593, 2904, 476, 1321, 267, 476, 1220, 279, 267, 849, 538, 590, 747, 10224, 19435, 267, 799, 7166, 811, 982, 476, 3199, 267, 1822, 543, 13676, 936, 476, 4968, 267, 1822, 269, 6052, 5950, 689, 654, 26067, 10224, 13091, 1131, 581, 476, 1789, 2053, 540, 602, 689, 962, 320, 262, 534, 844, 820, 267, 2687, 547, 18681, 2473, 807, 517, 534, 267, 606, 4274, 609, 3624, 781, 2983, 26491, 5742, 269, 667, 2967, 9947, 342, 340, 609, 4498, 16535, 2861, 17688, 1670, 17531, 26770, 519, 2669, 17167, 693, 1447, 982, 476, 272, 267, 1822, 267, 543, 2804, 9271, 689, 519, 844, 820, 1223, 3914, 909, 547, 476, 1911, 5479, 586, 10224, 269, 17318, 543, 4274, 6887, 723, 2907, 32357, 585, 15063, 538, 519, 2656, 588, 4459, 523, 2127, 267, 543, 519, 3557, 7027, 814, 17049, 18977, 15063, 3646, 543, 1367, 6472, 689, 2469, 547, 519, 844, 820, 7997, 547, 2057, 20316, 1547, 1763, 26443, 3646, 941, 5645, 834, 5503, 569, 543, 1931, 569, 2580, 1767, 4457, 20031, 1512, 9149, 3223, 336, 21628, 945, 24363, 547, 519, 2656, 523, 3613, 4459, 523, 1858, 593, 10732, 267, 519, 2034, 1554, 540, 519, 844, 820, 269, 1261, 729, 20926, 607, 6031, 602, 834, 1492, 1699, 10862, 568, 547, 4688, 2729, 2668, 4208, 1705, 519, 3557, 7027, 814, 17049, 18977, 15063, 3646, 543, 1367, 6472, 689, 2469, 547, 519, 844, 820, 7997, 888, 288, 269, 5221, 962, 320, 262, 534, 13091, 729, 711, 607, 29070, 607, 654, 26067, 10224, 13091, 563, 289, 269, 5221, 519, 1004, 540, 962, 320, 262, 534, 1223, 4688, 2933, 563, 290, 269, 5221, 519, 3557, 7027, 4941, 547, 2057, 1373, 32036, 4765, 563, 291, 269, 5221, 519, 3557, 7027, 4941, 547, 6870, 519, 11324, 5224, 1004, 454, 12585, 281, 595, 0, 9223, 281, 5808, 568, 1065, 3176, 547, 723, 1767, 267, 1412, 9213, 267, 594, 723, 575, 18968, 593, 519, 3068, 540, 3397, 600, 655, 12061, 262, 286, 1310, 8906, 693, 29901, 523, 2801, 888, 12585, 281, 554, 11634, 2993, 655, 2335, 0, 9223, 281, 6904, 5198, 322, 6847, 5933, 519, 595, 990, 18782, 853, 1389, 888, 12585, 281, 10841, 582, 0, 9223, 281, 1280, 1296, 1004, 1185, 5143, 938, 27428, 267, 30973, 10529, 10793, 2052, 7615, 543, 4460, 8841, 17713, 523, 267, 11121, 2984, 827, 2933, 269, 10793, 543, 4460, 3769, 891, 2984, 538, 741, 12909, 267, 543, 741, 9458, 14578, 4280, 952, 789, 1185, 2479, 1044, 3370, 269, 16828, 267, 10793, 543, 4460, 4956, 547, 2445, 519, 1655, 476, 6200, 2984, 789, 9364, 1044, 5143, 543, 2322, 873, 538, 513, 1433, 269, 1358, 1572, 621, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 20357, 789, 4941, 621, 547, 1683, 4313, 267, 1175, 899, 741, 20516, 338, 262, 5986, 269, 1358, 3576, 519, 1433, 547, 1715, 3840, 267, 15691, 547, 6133, 621, 547, 835, 540, 519, 2462, 21101, 267, 855, 1169, 2582, 835, 5828, 873, 1524, 269, 634, 1788, 7902, 547, 723, 9041, 2394, 789, 1558, 8834, 12098, 810, 269, 8834, 1224, 930, 540, 519, 2984, 543, 6068, 873, 267, 865, 646, 4956, 547, 2285, 519, 1433, 513, 4960, 267, 4742, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 11398, 532, 17404, 269, 26560, 590, 19281, 585, 519, 590, 14115, 29354, 883, 835, 540, 519, 1034, 2442, 543, 6068, 2835, 2479, 3370, 267, 9513, 476, 1556, 2929, 12215, 1472, 519, 1158, 269, 4653, 267, 649, 4312, 3370, 811, 982, 476, 7742, 2835, 543, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 13757, 1831, 519, 1655, 5498, 29818, 4123, 1957, 3724, 1433, 3126, 540, 782, 942, 269, 4658, 723, 4448, 609, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 9248, 7184, 269, 13012, 3516, 267, 649, 3323, 3478, 5022, 689, 3988, 6998, 585, 811, 267, 711, 1175, 811, 2835, 267, 855, 824, 1919, 267, 1932, 269, 10793, 543, 4460, 6444, 602, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 17495, 6738, 883, 1945, 1454, 8273, 982, 519, 1433, 3126, 789, 1185, 2813, 269, 1924, 267, 538, 476, 1220, 279, 267, 5261, 22748, 327, 3570, 267, 25138, 1715, 5658, 543, 7917, 10496, 10849, 11751, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 5228, 873, 269, 4653, 267, 649, 723, 513, 1899, 540, 4313, 3536, 267, 1519, 2635, 543, 7059, 4620, 3536, 269, 1284, 2811, 2228, 1631, 609, 938, 15473, 267, 8924, 543, 513, 13334, 8756, 269, 1284, 2811, 2324, 2182, 593, 513, 1007, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 29552, 1397, 543, 513, 7260, 269, 11531, 267, 649, 616, 1869, 10655, 2984, 689, 938, 3988, 543, 519, 1857, 267, 1175, 899, 649, 4312, 2944, 2094, 519, 4098, 269, 1284, 723, 1007, 2835, 4947, 856, 3592, 1169, 3923, 269, 1284, 2811, 2141, 3168, 585, 2081, 547, 2671, 8788, 267, 6667, 543, 9716, 998, 3388, 649, 798, 269, 634, 1101, 2419, 1157, 523, 590, 19281, 585, 519, 31522, 476, 9041, 476, 4586, 288, 269, 729, 3370, 676, 8834, 12098, 810, 454, 289, 269, 729, 10793, 543, 4460, 781, 1378, 2833, 454, 290, 269, 9415, 1004, 547, 581, 10529, 454, 291, 269, 5143, 2984, 602, 5949, 538, 6539, 29353, 454, 12585, 281, 589, 0, 9223, 281, 1548, 11356, 1281, 18412, 13573, 960, 585, 888, 12585, 281, 3232, 4541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 26417, 5897, 322, 663, 573, 919, 815, 1496, 15947, 20135, 24449, 4925, 815, 1496, 15947, 11133, 24449, 4925, 815, 476, 271, 5897, 5976, 1930, 3488, 324, 3005, 12774, 27406, 3299, 1412, 337, 10807, 607, 26417, 12803, 6769, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 3418, 825, 6241, 815, 1985, 6262, 12364, 1348, 518, 267, 14085, 10142, 825, 585, 6241, 538, 26417, 1348, 518, 281, 5897, 1038, 1003, 24449, 4925, 815, 1003, 24449, 4925, 1341, 476, 272, 1477, 1038, 11134, 815, 6241, 314, 273, 316, 5897, 1038, 952, 11134, 538, 10457, 6769, 2018, 11134, 318, 16769, 815, 10457, 28827, 6262, 663, 28371, 3418, 2018, 2698, 24449, 4925, 314, 322, 663, 28371, 318, 16769, 316, 815, 2698, 24449, 4925, 314, 322, 663, 28371, 318, 16769, 316, 1341, 476, 272, 1477, 1038, 3116, 6769, 2018, 10457, 6910, 6262, 663, 28371, 3418, 2018, 2698, 24449, 4925, 6910, 263, 272, 10142, 704, 30105, 815, 1496, 15947, 10946, 3065, 815, 476, 271, 1477, 10946, 24449, 4925, 815, 2698, 24449, 4925, 314, 271, 316, 5897, 1721, 1293, 538, 2039, 12759, 6262, 663, 573, 919, 264, 8029, 825, 1007, 30648, 30105, 815, 5180, 6025, 4973, 24449, 4925, 314, 12248, 316, 270, 11133, 24449, 4925, 265, 1911, 267, 476, 273, 3418, 825, 25576, 757, 6910, 28956, 30648, 30105, 3418, 825, 952, 2698, 24449, 4925, 314, 12248, 316, 3436, 3193, 24449, 4925, 6769, 1038, 3193, 24449, 4925, 815, 2698, 24449, 4925, 314, 12248, 15947, 1038, 5021, 815, 1293, 1477, 7773, 1676, 815, 10457, 314, 10946, 3065, 316, 5897, 2745, 2891, 292, 3005, 11778, 14826, 14744, 2745, 2891, 1422, 333, 14744, 2745, 6600, 257, 13707, 966, 4925, 281, 2715, 11133, 24449, 4925, 4153, 333, 14744, 1721, 1293, 538, 2039, 12759, 6262, 663, 573, 919, 264, 8029, 825, 1820, 6600, 257, 346, 322, 663, 573, 919, 314, 12248, 316, 348, 281, 2715, 704, 30105, 314, 12248, 316, 348, 260, 630, 346, 20135, 24449, 4925, 314, 12248, 316, 348, 9385, 333, 14744, 2745, 2891, 1422, 333, 14744, 2745, 6600, 10454, 16771, 568, 281, 2715, 7773, 1676, 4153, 333, 257, 10142, 29798, 815, 535, 257, 335, 2988, 3326, 318, 29798, 17902, 257, 5897, 5976, 1930, 263, 29798, 267, 1412, 342, 10807, 607, 2164, 16062, 1679, 281, 5897, 825, 2164, 16062, 1679, 22182, 2891, 292, 3005, 11778, 14826, 14744, 825, 2164, 16062, 1679, 22182, 2891, 1422, 333, 14744, 825, 2164, 16062, 1679, 22182, 6600, 257, 13707, 966, 4925, 281, 2715, 11133, 24449, 4925, 4153, 333, 14744, 825, 585, 1293, 538, 2039, 12759, 6262, 663, 573, 919, 264, 8029, 1038, 2164, 16062, 1679, 22182, 6600, 257, 346, 322, 663, 573, 919, 314, 12248, 316, 348, 281, 2715, 704, 30105, 314, 12248, 316, 348, 260, 630, 346, 20135, 24449, 4925, 314, 12248, 316, 348, 9385, 333, 14744, 825, 2164, 16062, 1679, 22182, 2891, 1422, 333, 14744, 825, 2164, 16062, 1679, 22182, 6600, 10454, 16771, 568, 281, 2715, 7773, 1676, 4153, 333, 14744, 825, 2164, 16062, 1679, 22182, 2891, 1422, 333, 14744, 5897, 0, 258, 1948, 8073, 513, 2370, 1982, 602, 2307, 519, 3593, 585, 519, 1739, 3877, 912, 258, 476, 910, 8745, 454, 258, 476, 910, 4463, 454, 258, 476, 910, 19463, 2681, 454, 258, 476, 910, 513, 694, 4740, 1297, 692, 258, 12650, 675, 891, 11378, 454, 258, 7179, 513, 3358, 10950, 5048, 547, 519, 3593, 454, 258, 1820, 824, 3877, 10356, 267, 4849, 519, 5728, 540, 1576, 692, 258, 20726, 267, 1589, 827, 16213, 707, 1239, 1826, 780, 4067, 815, 3403, 2891, 1432, 568, 596, 2012, 286, 19515, 4067, 815, 2012, 26644, 4590, 19417, 815, 703, 9272, 2891, 1432, 568, 707, 4463, 538, 4699, 781, 286, 27328, 3712, 712, 815, 3403, 2891, 1432, 568, 707, 19463, 7990, 286, 19515, 15893, 815, 703, 9272, 2891, 24876, 803, 513, 5728, 1297, 281, 834, 11723, 2745, 6600, 257, 15916, 2715, 4067, 9574, 596, 616, 2715, 19417, 348, 9492, 781, 7381, 543, 707, 19463, 7990, 568, 2715, 3712, 712, 348, 8442, 0, 258, 16038, 6573, 299, 12239, 910, 31777, 656, 20613, 3438, 4477, 704, 692, 258, 14871, 12267, 454, 258, 272, 454, 258, 6789, 513, 14871, 594, 1616, 547, 581, 2111, 547, 1294, 519, 10624, 538, 513, 1106, 730, 1259, 267, 865, 602, 594, 666, 1931, 1250, 7594, 780, 258, 273, 454, 258, 6789, 513, 14871, 594, 1616, 547, 581, 2111, 547, 1931, 476, 274, 2053, 267, 543, 723, 1250, 6114, 3773, 547, 513, 1592, 865, 789, 5749, 1405, 16618, 692, 258, 274, 454, 258, 1306, 513, 3593, 267, 594, 1616, 547, 723, 1250, 1931, 1224, 1394, 547, 803, 538, 1106, 730, 1259, 865, 594, 917, 1018, 594, 10288, 780, 258, 667, 7495, 454, 258, 922, 1378, 1788, 593, 707, 15291, 543, 717, 603, 889, 454, 258, 581, 575, 527, 27424, 454, 258, 723, 476, 276, 862, 1080, 1295, 25177, 2336, 258, 814, 12319, 454, 258, 5205, 1655, 2853, 692, 258, 25690, 3009, 454, 5443, 340, 815, 18358, 325, 531, 2378, 601, 3299, 1412, 295, 340, 12613, 639, 3299, 1412, 1723, 4785, 32654, 3299, 1412, 289, 659, 531, 327, 879, 513, 5696, 553, 23300, 25988, 318, 4650, 815, 29129, 5443, 340, 314, 271, 316, 815, 10624, 314, 271, 4940, 27583, 4590, 5443, 340, 314, 272, 316, 815, 10624, 314, 272, 4940, 27583, 4590, 5443, 340, 314, 273, 316, 815, 10624, 314, 273, 4940, 27583, 4590, 5443, 340, 314, 274, 316, 815, 10624, 314, 274, 4940, 27583, 4590, 2745, 2891, 2080, 568, 519, 10624, 5602, 12248, 815, 476, 271, 454, 1721, 1426, 538, 10624, 912, 825, 1293, 6834, 476, 272, 454, 825, 1820, 6262, 870, 267, 1426, 994, 12248, 815, 476, 271, 454, 6112, 1293, 2999, 476, 274, 912, 825, 1293, 6834, 476, 272, 454, 825, 1931, 815, 3403, 2891, 1432, 1426, 1131, 596, 899, 547, 1931, 286, 12315, 519, 1297, 281, 19515, 825, 952, 1931, 2652, 1193, 263, 272, 2187, 1038, 1931, 815, 10624, 314, 271, 2639, 825, 8640, 1931, 2652, 1193, 263, 273, 2187, 1038, 1931, 815, 10624, 314, 272, 2639, 825, 8640, 1931, 2652, 1193, 263, 274, 2187, 1038, 1931, 815, 10624, 314, 273, 2639, 825, 8640, 1931, 2652, 1193, 263, 275, 2187, 1038, 1931, 815, 10624, 314, 274, 2639, 825, 1426, 318, 4650, 6910, 263, 4650, 994, 12248, 815, 476, 271, 454, 2745, 2891, 2791, 723, 10288, 281, 19515, 1721, 1426, 538, 1426, 318, 4650, 912, 825, 1293, 6834, 476, 272, 454, 825, 1820, 6262, 870, 267, 1426, 2020, 692, 258, 594, 991, 547, 1820, 1142, 6221, 689, 519, 1592, 454, 258, 1820, 263, 5443, 340, 314, 271, 7481, 258, 1354, 594, 1820, 594, 991, 547, 1118, 873, 782, 3854, 1242, 454, 258, 476, 1820, 3388, 0, 454, 5814, 21795, 607, 19073, 692, 5228, 621, 1068, 8962, 1104, 10659, 692, 1410, 4897, 18316, 815, 834, 323, 9346, 318, 272, 11859, 3149, 343, 4840, 323, 520, 15390, 815, 19073, 18667, 318, 1410, 4897, 263, 1410, 4897, 18316, 267, 20927, 22561, 2020, 28744, 5560, 520, 15390, 2020, 258, 2381, 5334, 6269, 677, 815, 3403, 3488, 11767, 29358, 8081, 10025, 262, 9239, 258, 294, 1115, 782, 2189, 3688, 8528, 684, 1664, 318, 19477, 815, 1305, 4590, 1721, 1775, 267, 7127, 538, 6538, 269, 3438, 4900, 10031, 825, 585, 6221, 538, 7127, 912, 1038, 2189, 318, 19477, 14491, 263, 14403, 2020, 684, 1664, 318, 19477, 31927, 9638, 323, 8542, 335, 8542, 534, 994, 2745, 263, 684, 1664, 318, 19477, 9239, 258, 18474, 5209, 540, 2189, 3688, 454, 339, 1963, 815, 11713, 1721, 1775, 538, 2039, 263, 272, 267, 6352, 263, 684, 1664, 318, 19477, 15892, 825, 3349, 815, 31460, 825, 2036, 815, 1592, 263, 18474, 5209, 263, 684, 1664, 318, 19477, 267, 1775, 4917, 825, 1820, 263, 18474, 994, 825, 585, 1775, 267, 7127, 538, 6538, 269, 3438, 4900, 10031, 1038, 1820, 17338, 263, 18782, 4917, 1038, 3403, 4590, 13872, 0, 5814, 4351, 692, 258, 476, 20881, 496, 25051, 496, 418, 365, 480, 28578, 23989, 18809, 31006, 27962, 29219, 454, 258, 1219, 476, 1205, 16655, 17338, 267, 700, 267, 681, 2187, 258, 672, 952, 700, 2652, 681, 281, 1948, 3490, 2013, 8147, 417, 479, 506, 27882, 351, 20881, 496, 25051, 496, 7511, 17295, 364, 25913, 454, 258, 1363, 2132, 1592, 314, 299, 2639, 258, 672, 4571, 815, 703, 9230, 299, 266, 305, 8358, 273, 264, 476, 1948, 13127, 28187, 31563, 28884, 421, 502, 366, 418, 374, 351, 24731, 8147, 23746, 23284, 19540, 503, 29873, 700, 1341, 16733, 305, 6441, 8358, 273, 994, 258, 672, 3193, 29381, 815, 1205, 16655, 17338, 267, 700, 267, 4571, 994, 258, 672, 3193, 14738, 815, 1205, 16655, 17338, 267, 4571, 266, 272, 267, 681, 994, 258, 672, 2132, 3193, 32384, 29381, 267, 3193, 14738, 994, 16482, 16482, 258, 1592, 815, 1496, 274, 267, 476, 276, 267, 476, 278, 267, 476, 272, 267, 476, 271, 23378, 258, 3193, 2005, 655, 815, 1205, 16655, 17338, 267, 476, 271, 267, 7003, 17338, 9984, 272, 994, 258, 1820, 32384, 2005, 655, 2020, 258, 13127, 353, 500, 26406, 496, 454, 3698, 8585, 613, 17338, 267, 700, 267, 4571, 267, 681, 2187, 825, 1948, 1820, 17338, 994, 825, 1592, 273, 815, 11713, 825, 1775, 815, 700, 454, 825, 795, 815, 4571, 1341, 476, 272, 454, 825, 1948, 476, 4970, 353, 14748, 421, 25693, 418, 366, 350, 20069, 420, 370, 488, 419, 499, 490, 28793, 454, 825, 1247, 9217, 27045, 13232, 543, 795, 27045, 305, 2187, 1038, 1948, 1820, 2891, 4289, 14277, 1341, 1193, 9217, 264, 1341, 834, 316, 6889, 1341, 1193, 17338, 5157, 8079, 1341, 834, 1592, 14277, 1341, 1193, 27203, 264, 1341, 834, 316, 6889, 1341, 1193, 17338, 14728, 28413, 1038, 952, 1592, 5157, 316, 2999, 1592, 14728, 14158, 2018, 1592, 273, 6910, 17338, 5157, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1592, 273, 6910, 17338, 14728, 7481, 2018, 795, 6834, 476, 272, 454, 825, 1948, 476, 20069, 4970, 498, 9463, 359, 20069, 22047, 25263, 504, 420, 370, 488, 419, 499, 490, 454, 825, 1948, 13127, 28187, 31563, 26266, 355, 20001, 373, 420, 370, 488, 419, 499, 490, 454, 825, 1247, 27203, 10922, 681, 2187, 1038, 1592, 273, 6910, 17338, 14728, 7481, 1038, 795, 6834, 476, 272, 454, 825, 1948, 13127, 28187, 31563, 9463, 367, 20001, 373, 420, 370, 488, 419, 499, 490, 454, 825, 1247, 9217, 10922, 4571, 2187, 1038, 1592, 273, 6910, 17338, 5157, 7481, 1038, 1775, 6834, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 273, 15892, 1038, 1592, 314, 299, 1341, 1775, 316, 815, 1592, 273, 5157, 2639, 825, 1948, 17276, 367, 357, 418, 482, 493, 30244, 19404, 490, 4289, 273, 7511, 328, 12916, 491, 419, 377, 362, 418, 489, 371, 420, 368, 507, 18713, 508, 4289, 7511, 299, 266, 328, 12916, 491, 419, 377, 362, 8147, 26033, 490, 21251, 15159, 28997, 478, 22287, 499, 17295, 364, 420, 369, 489, 29219, 4289, 284, 4289, 273, 454, 825, 1948, 1820, 17338, 994, 825, 2132, 1592, 692, 3698, 8585, 613, 31374, 17338, 267, 700, 267, 681, 2187, 825, 1948, 1820, 2891, 6524, 24333, 1439, 6889, 19515, 825, 1948, 1820, 17338, 267, 1439, 6889, 19515, 825, 1948, 1820, 2891, 299, 815, 834, 1341, 1193, 27331, 264, 1341, 834, 681, 815, 834, 1341, 1193, 27562, 4917, 825, 952, 7003, 17338, 264, 10922, 476, 272, 912, 1038, 2132, 1592, 454, 825, 952, 700, 2652, 681, 912, 1038, 2132, 454, 825, 4571, 815, 703, 9230, 299, 266, 305, 8358, 273, 994, 825, 8585, 613, 31374, 17338, 267, 700, 267, 4571, 994, 825, 8585, 613, 31374, 17338, 267, 4571, 266, 272, 267, 681, 994, 825, 1592, 815, 8585, 613, 17338, 267, 700, 267, 4571, 267, 681, 994, 825, 1948, 1820, 2891, 5475, 24333, 1439, 6889, 19515, 825, 1948, 1820, 17338, 994, 825, 1948, 1820, 2891, 299, 815, 834, 1341, 1193, 27331, 264, 1341, 834, 681, 815, 834, 1341, 1193, 27562, 4917, 825, 2132, 1592, 19638, 3698, 8073, 305, 24655, 8266, 10031, 825, 1592, 815, 11713, 825, 1592, 318, 6352, 815, 4351, 27110, 263, 271, 267, 476, 1015, 994, 825, 585, 1775, 538, 2039, 17338, 318, 6352, 2187, 1038, 1592, 6910, 263, 12690, 27110, 8987, 1911, 267, 476, 1911, 4917, 825, 2132, 1592, 692, 4289, 815, 8073, 305, 24655, 8266, 4590, 2745, 17338, 994, 258, 1592, 815, 1496, 274, 267, 476, 278, 267, 476, 273, 267, 476, 280, 2639, 258, 8585, 613, 17338, 267, 476, 271, 267, 476, 272, 267, 476, 274, 994, 258, 1592, 815, 1496, 278, 267, 476, 274, 267, 476, 280, 267, 476, 273, 2639, 300, 10235, 31374, 17338, 267, 476, 271, 267, 7003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2589, 269, 3683, 476, 2412, 2929, 4079, 538, 519, 269, 17520, 538, 1453, 281, 8039, 1655, 547, 1205, 2576, 547, 2328, 513, 1957, 950, 547, 5855, 827, 707, 1126, 781, 19048, 269, 7756, 11868, 1063, 607, 704, 3455, 781, 543, 30442, 16327, 14601, 4524, 269, 476, 1001, 276, 264, 547, 6054, 3370, 538, 1614, 3105, 11706, 1296, 30285, 4317, 4160, 4524, 568, 835, 540, 519, 1034, 1455, 17867, 4713, 267, 18363, 936, 476, 1428, 2929, 4079, 538, 519, 269, 1703, 616, 1082, 10686, 1227, 24019, 5574, 585, 4160, 543, 4160, 4524, 269, 20150, 267, 610, 10295, 8552, 4524, 630, 553, 323, 1070, 4016, 547, 513, 3376, 2039, 540, 2175, 6353, 676, 2591, 609, 1514, 1983, 267, 16625, 5615, 267, 4633, 543, 26068, 2792, 269, 1284, 1131, 4363, 713, 4558, 585, 596, 269, 7316, 1775, 666, 1205, 2228, 24999, 9388, 593, 1514, 4160, 4524, 18531, 4688, 811, 269, 1548, 1250, 2185, 4458, 6370, 609, 4160, 4524, 6026, 803, 269, 769, 2487, 1296, 19353, 723, 16111, 2938, 513, 4473, 538, 607, 704, 3455, 781, 4524, 630, 611, 1070, 2523, 1851, 1126, 543, 15730, 5095, 269, 1879, 4160, 7679, 31013, 609, 3232, 2238, 267, 596, 949, 723, 606, 4160, 4524, 267, 971, 607, 20902, 4160, 4524, 267, 11784, 4524, 267, 989, 528, 7469, 14113, 610, 1514, 4160, 269, 24935, 909, 827, 588, 32211, 562, 8811, 1199, 1467, 15200, 12139, 269, 16179, 693, 713, 1469, 2228, 543, 1224, 5561, 8039, 2489, 4160, 4524, 4633, 7291, 5777, 936, 519, 2228, 2707, 1294, 1004, 945, 4444, 834, 2102, 1968, 4160, 4524, 4633, 7291, 257, 1118, 2386, 519, 6300, 1832, 707, 2123, 1344, 4357, 1354, 596, 4444, 2489, 4160, 4524, 4633, 7291, 1118, 2386, 596, 666, 8399, 5491, 3556, 2228, 547, 4444, 2102, 1968, 4160, 4524, 4633, 269, 1403, 596, 616, 10478, 585, 1224, 8039, 20902, 4160, 4524, 13181, 4633, 7291, 3902, 269, 5871, 2589, 540, 4160, 4713, 4948, 1072, 269, 4855, 811, 10464, 3902, 543, 811, 13319, 585, 4633, 4160, 4524, 2228, 8039, 602, 568, 4633, 4160, 4524, 9042, 6216, 1007, 585, 707, 596, 3513, 1265, 10257, 1587, 3877, 269, 1948, 16769, 4524, 4633, 791, 14601, 4160, 5635, 3902, 269, 17520, 4713, 616, 1455, 2790, 1072, 2042, 602, 1860, 1082, 1004, 269, 5398, 6340, 4160, 267, 849, 1634, 607, 17953, 22785, 267, 568, 835, 540, 519, 1034, 4122, 4080, 1514, 12194, 269, 1635, 32406, 512, 11336, 11643, 593, 23891, 4231, 476, 1015, 267, 476, 1001, 272, 269, 634, 6392, 585, 4160, 1489, 269, 1948, 12895, 5031, 4524, 13181, 4633, 4160, 3119, 6780, 948, 8454, 1514, 563, 20684, 827, 5626, 4713, 454, 268, 901, 7121, 1281, 711, 1331, 519, 2790, 4713, 602, 649, 6218, 896, 8194, 268, 543, 2566, 528, 5829, 4713, 630, 3738, 3248, 268, 16179, 13181, 4633, 1514, 4160, 4524, 18562, 267, 1775, 4126, 713, 8039, 827, 621, 13181, 4633, 1514, 4160, 4524, 786, 1831, 4126, 1775, 993, 513, 3296, 540, 3850, 596, 547, 1205, 513, 9120, 1587, 3248, 268, 6215, 335, 910, 22631, 1222, 1032, 609, 606, 4160, 4524, 910, 21536, 3907, 2524, 3248, 268, 7756, 3029, 540, 4160, 3100, 547, 1860, 4633, 538, 547, 4444, 2415, 745, 618, 894, 3594, 1114, 2081, 3248, 268, 1411, 1522, 1745, 14221, 950, 5185, 609, 513, 1966, 693, 960, 267, 1354, 2921, 513, 1449, 267, 610, 1354, 1818, 476, 1911, 271, 2262, 1557, 593, 1739, 9753, 606, 1271, 3375, 3248, 1103, 845, 894, 4633, 268, 1514, 4160, 4524, 29827, 14682, 2001, 318, 1260, 23211, 268, 10436, 269, 27096, 673, 4713, 3361, 676, 4160, 910, 1072, 3391, 9623, 269, 4107, 1004, 723, 513, 2013, 540, 519, 13285, 513, 2370, 3787, 1354, 9306, 513, 4633, 269, 476, 273, 4160, 814, 1044, 6444, 607, 513, 10835, 585, 5553, 269, 6145, 512, 553, 928, 655, 267, 1775, 798, 621, 1247, 6117, 269, 1284, 782, 1995, 930, 4110, 540, 4160, 269, 4317, 4160, 4524, 630, 338, 611, 264, 568, 513, 1966, 602, 1082, 1004, 7985, 269, 13081, 540, 2854, 4082, 267, 19497, 1572, 11095, 22192, 1603, 4524, 267, 568, 513, 1565, 9659, 538, 799, 513, 1268, 781, 2702, 547, 5968, 538, 1603, 568, 15186, 2630, 519, 1377, 7363, 4397, 1759, 593, 519, 1367, 781, 2085, 267, 4987, 267, 1272, 2833, 267, 3872, 4282, 267, 610, 2168, 23043, 269, 17520, 949, 581, 15427, 676, 1945, 596, 4250, 267, 610, 621, 949, 4755, 1510, 513, 2014, 269, 16594, 593, 4160, 4713, 568, 1655, 538, 2228, 4558, 269, 634, 1367, 9060, 621, 2352, 547, 1852, 519, 5855, 269, 17520, 4160, 568, 3989, 607, 513, 3339, 1480, 7553, 602, 568, 4810, 676, 519, 5354, 540, 1004, 269, 594, 1236, 5792, 1362, 513, 2603, 267, 1775, 1131, 3956, 936, 3388, 267, 543, 1775, 1131, 2760, 4734, 519, 2777, 269, 1284, 4312, 811, 1344, 827, 1469, 267, 20487, 267, 6075, 8039, 543, 6476, 3902, 269, 17520, 4713, 30387, 513, 1804, 1297, 540, 4713, 1141, 519, 3119, 4183, 568, 9402, 610, 20025, 4160, 563, 763, 3974, 3948, 20902, 4160, 4524, 454, 268, 16179, 4160, 4524, 1514, 4633, 1948, 852, 910, 3717, 334, 14695, 3248, 268, 717, 611, 666, 3006, 2196, 538, 3885, 3248, 268, 1948, 272, 3905, 4713, 4160, 543, 4633, 1592, 1587, 3248, 268, 594, 786, 1289, 538, 2110, 2165, 607, 1793, 13899, 4633, 4160, 4524, 585, 11570, 945, 616, 10478, 585, 1793, 13899, 4633, 4160, 4524, 2689, 3248, 268, 630, 4939, 3738, 723, 606, 4160, 4633, 827, 4160, 4524, 4524, 3248, 5278, 540, 596, 1522, 711, 917, 1018, 4160, 568, 267, 865, 1450, 803, 547, 2491, 269, 17520, 4713, 538, 1453, 1299, 10708, 281, 2589, 269, 1280, 1004, 945, 723, 835, 267, 5855, 543, 269, 853, 32211, 267, 513, 4633, 2783, 602, 3123, 1004, 547, 10956, 610, 588, 18443, 936, 1978, 4992, 267, 24424, 267, 610, 1913, 267, 568, 2189, 267, 1743, 269, 898, 781, 513, 2367, 5217, 1158, 856, 972, 267, 543, 707, 2634, 2115, 513, 1259, 547, 10544, 707, 3007, 950, 596, 2811, 588, 22824, 883, 269, 2755, 519, 6221, 949, 581, 11720, 539, 13974, 693, 1114, 15945, 269, 12870, 543, 7291, 1382, 1957, 2789, 7209, 4524, 4160, 281, 2550, 609, 835, 267, 1419, 723, 519, 269, 681, 5699, 476, 2412, 260, 723, 2589, 540, 693, 2547, 835, 4160, 4524, 693, 1022, 942, 267, 3379, 609, 909, 32029, 14245, 17299, 4524, 547, 476, 1428, 260, 538, 519, 2489, 2551, 269, 476, 272, 4160, 4713, 616, 519, 1034, 1455, 1826, 540, 2790, 1072, 4524, 269, 634, 3483, 540, 519, 1699, 2689, 568, 547, 3313, 524, 321, 323, 781, 1761, 607, 513, 2126, 585, 4160, 5829, 4713, 267, 676, 12570, 2963, 689, 840, 30570, 267, 1480, 8097, 267, 4791, 267, 543, 16917, 8344, 2090, 269, 3733, 4160, 568, 711, 606, 28195, 267, 855, 621, 568, 513, 4641, 602, 1775, 267, 543, 1082, 1866, 267, 2661, 609, 269, 5369, 12278, 4713, 711, 1152, 3565, 547, 1928, 8515, 855, 849, 547, 2799, 1981, 540, 9659, 269, 1452, 824, 4713, 616, 2147, 547, 522, 7251, 855, 616, 711, 522, 7251, 269, 17520, 538, 1453, 568, 4397, 543, 3339, 693, 1808, 2053, 538, 1646, 269, 16737, 335, 273, 5829, 4633, 543, 1893, 4524, 910, 11976, 1753, 269, 715, 574, 327, 4160, 4713, 563, 288, 2013, 1353, 540, 512, 1092, 5374, 3444, 8473, 32421, 543, 11601, 454, 1015, 1919, 827, 2790, 4713, 538, 1453, 1557, 2055, 593, 7209, 4713, 910, 3170, 2530, 26750, 269, 634, 3804, 568, 547, 2569, 610, 9004, 519, 943, 14113, 543, 547, 948, 519, 3461, 11883, 609, 519, 4250, 269, 17520, 4713, 666, 1860, 513, 1268, 781, 2702, 547, 960, 267, 1353, 543, 7119, 538, 824, 2238, 563, 24576, 7485, 518, 16056, 454, 268, 1717, 267, 2436, 621, 568, 4758, 513, 6101, 6881, 547, 606, 5304, 610, 6998, 938, 20148, 13181, 4633, 4189, 4713, 585, 513, 6318, 267, 1373, 6899, 6340, 538, 1857, 568, 606, 1271, 5578, 547, 1451, 3248, 268, 1284, 1058, 2832, 547, 798, 938, 1655, 3079, 540, 3501, 3248, 268, 17553, 796, 778, 773, 15344, 4441, 540, 12419, 606, 796, 12378, 1639, 4633, 4679, 4160, 3248, 268, 2659, 4387, 610, 18673, 949, 723, 8995, 596, 609, 513, 2489, 4160, 4524, 267, 513, 2022, 32034, 2566, 4524, 630, 516, 2017, 2590, 4555, 827, 513, 2250, 1253, 7675, 2680, 1070, 606, 30442, 16327, 14601, 4524, 630, 325, 4193, 621, 2556, 547, 14578, 1685, 4247, 1070, 513, 11784, 4524, 630, 327, 3058, 513, 1713, 2168, 3210, 1256, 950, 972, 568, 1100, 4890, 8594, 1070, 610, 989, 528, 7469, 14113, 630, 1492, 4250, 610, 21084, 540, 3248, 268, 17520, 4524, 1813, 547, 513, 2564, 2783, 2882, 2589, 540, 7920, 4160, 610, 11784, 602, 616, 2047, 3361, 676, 513, 2168, 1072, 1966, 3248, 31714, 609, 2101, 19591, 4524, 630, 332, 9536, 264, 941, 16934, 563, 268, 8889, 543, 5650, 798, 1250, 6780, 454, 268, 2052, 1775, 2328, 1250, 5098, 538, 476, 273, 3275, 454, 268, 14581, 2337, 7851, 454, 268, 3733, 1557, 3028, 2689, 454, 268, 670, 335, 6780, 948, 619, 454, 5978, 3135, 4786, 0, 10468, 663, 1068, 531, 5095, 1369, 519, 30345, 1014, 18686, 723, 1044, 7680, 5065, 14486, 543, 12990, 1256, 4505, 982, 30941, 18682, 16772, 8452, 267, 538, 3210, 547, 513, 1382, 7000, 4728, 476, 1789, 267, 476, 1708, 273, 1369, 519, 1930, 14092, 947, 4760, 12813, 5308, 21450, 676, 8277, 9346, 681, 3930, 8566, 4673, 714, 541, 540, 519, 16329, 1670, 7467, 540, 31167, 321, 7776, 267, 8050, 543, 9164, 563, 10468, 663, 1068, 1023, 20374, 5180, 476, 2412, 267, 1822, 1296, 538, 519, 2250, 267, 2705, 1082, 1880, 338, 540, 741, 14486, 3251, 15458, 269, 1677, 30881, 519, 9183, 267, 621, 779, 5363, 547, 3605, 875, 3026, 663, 1068, 531, 5095, 723, 1044, 19249, 2429, 741, 14656, 27453, 269, 2201, 713, 1382, 267, 3173, 8947, 519, 3892, 540, 513, 3926, 7294, 1419, 1572, 519, 932, 5889, 339, 601, 704, 1258, 1014, 267, 799, 568, 2808, 10058, 547, 2386, 5095, 540, 3026, 663, 1068, 1023, 538, 5333, 543, 519, 30345, 1014, 18686, 563, 763, 3173, 8947, 936, 476, 276, 267, 1822, 13978, 540, 932, 5889, 339, 601, 704, 1258, 1014, 7405, 689, 513, 3896, 5219, 547, 607, 1488, 534, 4472, 339, 5633, 4083, 538, 4446, 27996, 267, 1369, 519, 8832, 30345, 1014, 18686, 267, 2078, 547, 5180, 476, 3393, 267, 4335, 1296, 538, 519, 2250, 269, 28518, 713, 3896, 609, 1114, 2673, 676, 3026, 663, 1068, 531, 3926, 7270, 267, 789, 2703, 602, 519, 932, 5889, 339, 601, 704, 1258, 1014, 1062, 3085, 1406, 16937, 538, 942, 609, 4587, 3026, 663, 1068, 531, 4294, 9443, 593, 713, 1858, 267, 11021, 602, 932, 5889, 339, 601, 704, 1258, 1014, 7405, 14201, 1406, 2919, 689, 4505, 30345, 1014, 917, 24376, 267, 2705, 607, 606, 4244, 12090, 11992, 4505, 982, 4955, 7992, 883, 519, 1858, 269, 769, 1840, 789, 4362, 602, 932, 5889, 339, 601, 704, 1258, 1014, 7405, 3100, 19692, 982, 519, 3119, 30941, 18682, 16772, 7405, 1369, 519, 30345, 1014, 18686, 563, 17780, 6140, 593, 713, 6169, 267, 519, 4589, 4363, 602, 4587, 30345, 1014, 3026, 663, 1068, 531, 5095, 20374, 267, 2921, 741, 3926, 2010, 609, 873, 267, 543, 723, 1044, 4957, 676, 4625, 1114, 3026, 663, 1068, 531, 6887, 9001, 932, 5889, 339, 601, 704, 1258, 1014, 7405, 267, 8969, 1652, 4955, 7992, 689, 5333, 267, 543, 891, 5095, 723, 1044, 538, 16212, 4957, 676, 30941, 18682, 16772, 269, 634, 3173, 2303, 602, 891, 3270, 540, 5065, 3026, 663, 1068, 531, 14486, 543, 12990, 786, 2693, 581, 606, 2556, 2230, 540, 2104, 1382, 267, 607, 789, 1223, 723, 5340, 513, 2462, 1599, 1369, 519, 7771, 543, 18678, 27757, 540, 3026, 663, 1068, 1023, 563, 763, 4589, 1039, 281, 968, 10468, 663, 1068, 1023, 609, 932, 5889, 339, 601, 704, 1258, 1014, 917, 24376, 13026, 519, 8832, 30345, 1014, 18686, 1309, 269, 476, 6246, 267, 1822, 1296, 538, 519, 2250, 269, 901, 8513, 729, 796, 31039, 593, 519, 942, 267, 1739, 519, 19692, 14897, 766, 540, 5065, 3026, 663, 1068, 531, 6887, 267, 1927, 609, 741, 631, 537, 3122, 1014, 917, 24376, 3034, 11045, 15533, 6035, 676, 12813, 5308, 269, 27297, 281, 12474, 1570, 1223, 849, 581, 12995, 585, 6752, 543, 2450, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1215, 798, 594, 917, 952, 513, 5491, 3556, 568, 513, 6250, 320, 610, 513, 9457, 15258, 2272, 888, 12585, 281, 6250, 320, 3556, 2338, 2141, 2253, 1310, 476, 275, 522, 262, 22018, 267, 476, 9457, 15258, 2272, 2338, 2141, 2253, 1310, 476, 276, 522, 262, 22018, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4436, 5458, 3574, 28457, 748, 2915, 834, 536, 834, 28457, 748, 5458, 4436, 3574, 2915, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 7705, 281, 6153, 6640, 267, 7585, 269, 7585, 281, 6153, 6640, 267, 7705, 269, 7705, 281, 7585, 267, 713, 568, 24553, 269, 7585, 281, 19743, 267, 24553, 269, 24553, 281, 19743, 267, 7585, 269, 7705, 281, 7937, 267, 1018, 568, 602, 286, 7585, 281, 898, 781, 1250, 3039, 1883, 269, 7705, 281, 1548, 781, 713, 286, 7585, 281, 898, 568, 513, 14610, 269, 7705, 281, 1772, 621, 707, 567, 14610, 286, 7585, 281, 3143, 269, 3733, 14610, 568, 2699, 269, 901, 14610, 568, 4544, 269, 7705, 281, 24553, 267, 568, 621, 707, 14610, 286, 24553, 281, 7937, 1100, 269, 898, 568, 7671, 781, 14610, 269, 7705, 281, 2412, 1547, 7705, 543, 7585, 2743, 672, 9041, 476, 4586, 288, 269, 538, 519, 6640, 454, 289, 269, 538, 519, 12784, 454, 290, 269, 538, 519, 10543, 454, 291, 269, 693, 3781, 454, 12585, 281, 589, 0, 9223, 281, 834, 8005, 729, 834, 257, 306, 7964, 16503, 3603, 3269, 12139, 781, 1101, 834, 257, 306, 7964, 2006, 540, 519, 5729, 3269, 24350, 12585, 281, 476, 274, 8792, 13304, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 4065, 543, 18058, 281, 1496, 3650, 518, 316, 1215, 547, 5431, 13687, 7578, 15464, 630, 15680, 3000, 749, 2670, 3738, 1496, 27583, 316, 6875, 4063, 540, 15353, 543, 13481, 269, 1496, 21163, 316, 27187, 15464, 781, 1297, 835, 10835, 568, 1419, 15353, 543, 13481, 269, 5221, 1004, 1419, 4579, 13687, 7578, 15464, 607, 513, 1267, 540, 4189, 1945, 13572, 609, 28797, 267, 707, 1560, 781, 2067, 3210, 568, 547, 20704, 519, 9115, 540, 707, 7181, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 4014, 15353, 568, 519, 1034, 1455, 10835, 540, 13687, 7578, 15464, 267, 972, 616, 513, 1297, 540, 824, 22074, 602, 949, 2014, 519, 1482, 10835, 269, 1403, 596, 616, 13481, 267, 596, 786, 991, 547, 556, 5139, 3433, 267, 855, 2057, 6704, 1216, 5612, 1310, 13481, 563, 289, 269, 901, 1419, 4386, 950, 707, 5023, 610, 11563, 568, 9505, 865, 1426, 3788, 16290, 269, 1677, 948, 3313, 519, 4890, 2014, 540, 707, 15353, 267, 1413, 585, 2433, 1496, 11357, 25074, 316, 1849, 523, 3481, 28287, 267, 804, 523, 4221, 543, 24948, 563, 290, 269, 9603, 547, 713, 267, 607, 707, 1560, 3217, 513, 1247, 547, 7558, 519, 20715, 9115, 267, 707, 8937, 13847, 513, 2603, 540, 3154, 269, 901, 5114, 568, 1634, 607, 15353, 543, 13481, 563, 291, 269, 1717, 267, 972, 616, 1896, 17429, 2388, 602, 596, 666, 1491, 883, 2272, 2433, 1496, 11357, 25074, 316, 8555, 704, 2712, 3215, 269, 901, 568, 835, 540, 519, 1034, 1455, 543, 3978, 7181, 21385, 563, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 9491, 1716, 841, 454, 288, 269, 666, 581, 7745, 593, 519, 6316, 540, 513, 10822, 3097, 289, 269, 666, 12404, 513, 10822, 10822, 3097, 12585, 281, 589, 0, 9223, 281, 1548, 568, 519, 1034, 1455, 7990, 540, 513, 1283, 1794, 888, 12585, 281, 476, 14838, 476, 14838, 476, 271, 0, 13480, 2622, 281, 1215, 547, 581, 513, 29449, 693, 513, 15007, 269, 22067, 5423, 269, 901, 1797, 1614, 1919, 2433, 5620, 1945, 10694, 547, 2721, 1004, 547, 707, 3349, 269, 901, 1223, 581, 513, 15931, 270, 3333, 12177, 270, 3430, 847, 633, 1129, 267, 513, 1804, 4605, 267, 610, 2462, 267, 12050, 1257, 269, 5403, 619, 543, 2468, 24670, 4773, 540, 16968, 4604, 616, 1360, 1455, 269, 901, 568, 2965, 519, 2547, 1271, 851, 540, 4947, 5423, 1532, 583, 621, 2731, 1281, 948, 256, 5700, 1018, 596, 2811, 2469, 547, 2161, 6619, 540, 942, 269, 0, 9223, 281, 769, 799, 1433, 540, 519, 6426, 1131, 596, 1265, 519, 2669, 540, 15584, 888, 12585, 281, 1433, 632, 17458, 16860, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 7316, 798, 1004, 4558, 6517, 950, 4881, 2144, 571, 2738, 888, 288, 269, 476, 693, 1753, 454, 289, 269, 476, 1863, 3118, 454, 290, 269, 476, 5198, 3950, 454, 291, 269, 476, 18736, 2603, 454, 292, 269, 476, 1286, 1397, 454, 12585, 281, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1616, 547, 1451, 811, 286, 16731, 8116, 454, 300, 746, 568, 2523, 5906, 547, 1762, 1453, 267, 543, 621, 666, 581, 14603, 269, 631, 746, 5540, 519, 7929, 1062, 267, 1818, 621, 811, 5739, 585, 1004, 945, 723, 10447, 610, 32583, 269, 22285, 568, 1360, 1455, 538, 5321, 267, 4098, 607, 1507, 3109, 9634, 543, 10825, 547, 5318, 2127, 540, 6821, 267, 15790, 1115, 267, 17981, 267, 543, 1225, 13935, 269, 3509, 1004, 3801, 547, 2973, 519, 7783, 1858, 267, 855, 713, 1106, 540, 22285, 568, 5393, 14388, 543, 556, 3766, 4900, 6385, 269, 898, 779, 2629, 547, 2015, 1946, 3109, 7646, 1168, 10953, 538, 519, 1101, 1747, 538, 1931, 547, 30817, 621, 269, 901, 568, 5462, 676, 519, 2175, 538, 707, 1753, 282, 22285, 29263, 538, 6632, 267, 5848, 5054, 269, 4014, 621, 568, 711, 2556, 585, 713, 547, 581, 5693, 14927, 267, 7509, 538, 519, 2011, 786, 3411, 823, 563, 763, 4563, 631, 746, 10063, 806, 676, 22412, 908, 24032, 998, 519, 2011, 269, 1879, 891, 24032, 616, 31067, 267, 789, 2014, 1072, 2042, 269, 898, 568, 1271, 547, 8499, 2973, 519, 7783, 1858, 538, 1931, 547, 18385, 4894, 22285, 269, 3509, 1004, 3274, 946, 3636, 12853, 344, 1216, 547, 6861, 519, 22285, 267, 855, 713, 568, 23696, 563, 2026, 513, 1267, 267, 2027, 2213, 2472, 616, 2877, 602, 6861, 2864, 982, 4894, 519, 22285, 269, 1452, 2472, 616, 5393, 2178, 267, 543, 4352, 789, 1058, 581, 5701, 609, 13657, 267, 950, 1031, 5265, 267, 789, 666, 4625, 4894, 782, 22285, 538, 707, 1753, 269, 631, 746, 666, 581, 6757, 267, 865, 621, 1058, 2760, 581, 2451, 4805, 269, 1284, 9244, 18973, 596, 547, 946, 2027, 2213, 22285, 8851, 2472, 547, 4894, 519, 22285, 689, 707, 1753, 607, 4166, 607, 2009, 269, 4014, 2027, 2213, 2472, 666, 6861, 519, 22285, 267, 621, 568, 849, 2565, 602, 596, 1689, 707, 1753, 779, 2175, 269, 0, 2752, 2316, 293, 2975, 24361, 4987, 799, 18767, 585, 2799, 31479, 11926, 1522, 12337, 18825, 779, 3463, 540, 12955, 689, 11452, 543, 922, 7648, 267, 1382, 1353, 814, 1336, 563, 763, 1007, 5647, 1223, 581, 1031, 547, 20688, 2126, 543, 2285, 2043, 519, 1360, 1655, 4960, 540, 7067, 563, 1607, 568, 2687, 547, 6216, 20642, 1382, 1353, 14102, 676, 519, 3703, 9839, 7690, 630, 289, 295, 293, 1916, 32513, 1190, 2665, 540, 13044, 268, 866, 723, 1044, 1644, 547, 513, 22270, 710, 7088, 267, 799, 568, 1141, 519, 21782, 3940, 540, 519, 3644, 12153, 519, 1560, 4761, 1062, 547, 979, 883, 936, 20142, 633, 543, 7472, 513, 4473, 540, 31362, 6675, 1572, 29299, 563, 3528, 9001, 2834, 9221, 11632, 18767, 267, 3744, 693, 519, 2160, 540, 10228, 723, 2965, 2919, 513, 13044, 268, 866, 15040, 1210, 20536, 1565, 563, 2005, 9634, 6211, 21855, 538, 519, 3170, 4478, 1973, 8043, 538, 519, 9221, 547, 2268, 519, 1377, 540, 11926, 9141, 676, 29299, 538, 1004, 13572, 609, 519, 3968, 563, 6124, 1449, 1223, 3313, 707, 8594, 540, 12955, 689, 11452, 4077, 531, 3711, 657, 16653, 328, 3547, 267, 4116, 540, 9025, 6646, 543, 645, 295, 293, 9972, 4791, 1382, 8284, 693, 519, 7101, 743, 858, 324, 4972, 540, 6925, 693, 519, 2160, 540, 10228, 267, 7150, 281, 968, 2171, 723, 9112, 606, 5393, 22537, 3642, 3760, 602, 13475, 15466, 4576, 676, 29852, 9623, 689, 31479, 2592, 9715, 5781, 2429, 6413, 16075, 267, 543, 6220, 621, 609, 513, 1804, 10717, 6915, 637, 1830, 689, 1480, 5160, 1979, 3591, 625, 563, 892, 1635, 8806, 4946, 538, 835, 3063, 2962, 547, 519, 6296, 1416, 540, 1004, 21334, 539, 547, 6413, 609, 13044, 268, 866, 945, 4867, 723, 513, 11632, 11571, 267, 649, 666, 1631, 3605, 7218, 693, 1164, 3463, 540, 1272, 18446, 8374, 543, 1223, 5732, 20688, 741, 2126, 547, 5351, 1279, 3856, 6051, 563, 892, 1809, 519, 2640, 1810, 1406, 3247, 972, 563, 892, 1284, 1174, 602, 713, 27105, 4761, 5114, 547, 519, 3968, 666, 849, 2014, 12150, 1973, 32378, 267, 4061, 649, 616, 3384, 713, 3642, 3760, 547, 4481, 5431, 13044, 268, 866, 2550, 945, 616, 1034, 693, 1981, 540, 2348, 513, 2104, 9025, 2068, 610, 8482, 563, 892, 1284, 666, 849, 22141, 938, 3760, 609, 8897, 547, 3715, 513, 6216, 20642, 17655, 2048, 338, 793, 1155, 685, 547, 1732, 10146, 2104, 5563, 543, 4576, 602, 1491, 3180, 540, 938, 2551, 1848, 6258, 811, 281, 12207, 4294, 519, 454, 290, 10604, 268, 866, 15040, 547, 11632, 9221, 18767, 540, 476, 31973, 1004, 15861, 547, 2564, 6703, 538, 10228, 267, 2274, 1182, 614, 543, 24872, 267, 543, 3379, 519, 4110, 540, 6553, 543, 3463, 540, 2669, 538, 2043, 609, 543, 1510, 13044, 268, 866, 269, 1358, 1336, 585, 2550, 21334, 539, 547, 3782, 9744, 454, 267, 519, 1377, 540, 22270, 710, 12454, 11926, 538, 519, 31479, 729, 1454, 2362, 538, 1346, 609, 13044, 268, 866, 267, 543, 1256, 2362, 538, 7218, 13572, 676, 519, 13573, 267, 610, 13672, 267, 8390, 269, 12207, 1336, 1346, 609, 513, 1164, 1377, 540, 15466, 454, 1873, 2454, 31030, 593, 476, 279, 2053, 811, 2693, 547, 5884, 538, 2564, 9744, 267, 543, 941, 811, 982, 2693, 547, 4431, 1134, 547, 519, 4550, 13611, 3075, 667, 1410, 600, 996, 553, 821, 269, 1715, 1449, 1223, 12337, 707, 3463, 540, 12955, 689, 11452, 13044, 268, 866, 7218, 609, 1164, 15466, 6553, 5701, 609, 667, 1410, 600, 996, 553, 821, 1185, 513, 3670, 24670, 6175, 538, 1981, 540, 12955, 3379, 547, 13044, 268, 866, 7218, 945, 941, 711, 2016, 519, 3075, 563, 12867, 1533, 602, 676, 9001, 713, 1907, 547, 3489, 513, 11926, 6060, 267, 2550, 4362, 547, 723, 513, 1390, 4308, 540, 11926, 538, 741, 31479, 267, 543, 4061, 2799, 1981, 540, 2669, 267, 1522, 5732, 581, 3177, 4550, 13611, 5061, 547, 7413, 741, 8594, 543, 948, 741, 1279, 18835, 6051, 563, 21357, 8062, 616, 1631, 3168, 883, 519, 7145, 540, 713, 1935, 3177, 693, 519, 3703, 31292, 5980, 10554, 269, 0, 309, 2728, 14515, 1530, 330, 584, 26320, 15854, 19300, 600, 630, 4467, 11952, 5811, 543, 14351, 966, 2728, 566, 7498, 309, 2728, 14515, 1530, 330, 584, 26320, 15854, 19300, 600, 454, 2304, 4985, 547, 8232, 454, 2102, 1968, 4485, 547, 519, 29925, 1184, 454, 263, 272, 264, 519, 1283, 6658, 267, 1614, 9912, 1935, 630, 273, 264, 519, 5377, 5346, 267, 6006, 29925, 267, 6006, 335, 10107, 1935, 454, 763, 3017, 1063, 519, 1079, 4485, 568, 519, 9228, 2956, 1993, 519, 4346, 543, 513, 6109, 779, 2872, 593, 519, 29925, 540, 513, 6109, 543, 922, 6006, 454, 763, 29925, 1184, 568, 899, 519, 9269, 7146, 268, 1122, 326, 14196, 563, 8117, 538, 713, 1433, 267, 29925, 2253, 609, 606, 2079, 540, 14919, 11615, 543, 2949, 19736, 6990, 543, 3356, 547, 454, 18528, 5166, 6080, 609, 513, 2518, 5133, 267, 1287, 6218, 519, 19736, 9783, 676, 1367, 10909, 1369, 519, 1732, 6080, 454, 26046, 540, 20010, 8859, 625, 663, 8232, 29714, 454, 26046, 540, 20010, 24322, 454, 26046, 540, 10572, 4467, 3966, 625, 543, 853, 4169, 454, 763, 800, 540, 966, 2728, 566, 454, 1805, 3195, 540, 1401, 4624, 16849, 630, 290, 1662, 10046, 338, 994, 13528, 540, 16849, 454, 763, 7024, 689, 606, 5092, 666, 1491, 1082, 3029, 267, 1519, 15271, 22698, 1662, 8928, 267, 27993, 267, 1719, 11033, 267, 610, 3854, 12374, 630, 27463, 1162, 538, 1871, 264, 1282, 513, 1974, 563, 11742, 23694, 543, 12618, 15580, 540, 16849, 454, 2791, 3112, 5173, 606, 4977, 1871, 585, 513, 9798, 8259, 596, 666, 7447, 950, 596, 786, 4309, 519, 7024, 610, 6666, 8928, 454, 26473, 1600, 15580, 540, 17776, 454, 20059, 618, 17423, 6713, 281, 589, 18948, 540, 454, 15307, 13846, 18880, 543, 10369, 31245, 454, 2252, 6480, 13846, 2271, 337, 13917, 10025, 3436, 10369, 12313, 267, 16179, 610, 15579, 621, 952, 1411, 13574, 898, 269, 1403, 6480, 13846, 2271, 337, 13917, 10025, 2999, 10369, 12313, 267, 5213, 1406, 16179, 610, 590, 749, 621, 952, 1411, 13574, 898, 563, 1607, 1184, 540, 29925, 3340, 9193, 540, 912, 1492, 6908, 540, 4397, 7024, 454, 1492, 2838, 2557, 540, 2132, 593, 519, 5092, 630, 1080, 10958, 2557, 1916, 309, 2728, 566, 2986, 20010, 20971, 454, 11749, 25917, 542, 540, 6125, 267, 840, 742, 1229, 13632, 267, 1455, 6006, 2676, 9824, 894, 966, 2728, 566, 9828, 454, 292, 7568, 902, 11638, 680, 1512, 815, 3902, 270, 792, 11789, 630, 303, 27582, 13211, 763, 12313, 14727, 1662, 10046, 22472, 815, 3902, 11305, 1662, 2095, 27456, 14727, 293, 994, 23748, 270, 1504, 1871, 630, 303, 20324, 309, 1070, 543, 3902, 4882, 2297, 630, 303, 13478, 994, 2414, 5265, 2936, 519, 3448, 29925, 4480, 267, 621, 568, 1898, 711, 1152, 547, 5635, 519, 341, 13895, 12753, 855, 849, 547, 1174, 1018, 2188, 1860, 1142, 540, 519, 29925, 12753, 543, 267, 4061, 267, 3104, 1946, 789, 1058, 8428, 563, 15307, 26305, 634, 18452, 338, 281, 634, 22490, 15580, 2986, 17776, 1656, 634, 1401, 4624, 12618, 15580, 2986, 966, 2728, 566, 25159, 454, 26473, 1600, 15580, 540, 17776, 630, 330, 994, 763, 4346, 779, 1483, 1981, 6954, 2557, 630, 305, 305, 15709, 994, 763, 4397, 2557, 540, 10637, 630, 296, 994, 288, 1981, 14167, 630, 14641, 994, 15307, 26305, 519, 22490, 17776, 585, 14579, 1530, 15247, 454, 2750, 4624, 12618, 26162, 454, 15307, 26305, 12618, 689, 26386, 454, 763, 2208, 2557, 540, 27993, 568, 5462, 676, 1492, 2208, 2557, 540, 15271, 543, 519, 8167, 540, 15271, 6976, 856, 538, 27993, 630, 1492, 2628, 719, 5223, 1916, 15307, 26305, 12618, 9122, 593, 3778, 454, 15307, 26305, 29435, 754, 12618, 585, 14579, 853, 4169, 454, 14303, 1549, 26162, 267, 4880, 30825, 12540, 514, 267, 11192, 2667, 564, 12414, 1478, 267, 11192, 2667, 564, 270, 13420, 640, 22472, 454, 4467, 11952, 5811, 543, 14351, 454, 29115, 2754, 568, 513, 6109, 609, 519, 2359, 2702, 543, 519, 3255, 547, 9846, 1118, 9541, 602, 6556, 3928, 540, 2132, 3152, 982, 519, 6109, 779, 2838, 2557, 540, 2132, 454, 29115, 6006, 568, 513, 6006, 454, 5976, 513, 2362, 4397, 2557, 540, 2132, 982, 824, 13632, 538, 519, 2344, 609, 2147, 1981, 4162, 563, 9377, 2400, 3549, 616, 1346, 4171, 2104, 15271, 616, 2693, 547, 16641, 606, 2804, 454, 2467, 616, 1079, 5702, 1644, 2035, 540, 513, 17872, 6006, 269, 3689, 267, 513, 17872, 6006, 779, 2557, 540, 2132, 568, 711, 4397, 547, 7771, 1282, 606, 2949, 2344, 7771, 267, 610, 7771, 1447, 982, 519, 2949, 2344, 269, 5822, 267, 938, 26480, 300, 4901, 8612, 602, 606, 10697, 779, 4143, 1981, 568, 922, 31809, 609, 519, 2344, 14769, 540, 19408, 7221, 20196, 568, 267, 606, 10697, 779, 9836, 1981, 563, 288, 7814, 673, 2754, 779, 6455, 543, 15271, 786, 581, 8185, 6766, 676, 14919, 1870, 2534, 910, 288, 7814, 673, 6006, 568, 519, 6006, 540, 1022, 2754, 602, 814, 7024, 602, 616, 811, 19979, 982, 519, 2949, 2344, 563, 288, 23019, 6006, 19299, 513, 1164, 5506, 540, 1970, 610, 2942, 3928, 540, 2132, 543, 513, 1970, 5506, 540, 3339, 610, 1164, 3928, 540, 2132, 563, 288, 23019, 2754, 568, 835, 4171, 7221, 4125, 1390, 1981, 855, 602, 849, 814, 513, 7872, 540, 1390, 2744, 454, 19368, 13632, 616, 1346, 602, 2408, 547, 581, 896, 1998, 4240, 585, 4128, 824, 982, 15271, 2208, 1761, 563, 18314, 1713, 21876, 540, 513, 6006, 779, 17271, 1871, 912, 264, 2208, 540, 519, 6109, 779, 4397, 15271, 454, 663, 6666, 8928, 267, 543, 454, 264, 922, 1981, 543, 519, 3617, 2838, 2132, 630, 4134, 12248, 2557, 994, 1492, 1459, 1871, 540, 6666, 8928, 2676, 7758, 894, 29925, 5223, 2553, 454, 4818, 1415, 779, 8013, 4640, 454, 288, 17872, 2841, 527, 11597, 337, 1538, 344, 3322, 17568, 519, 6109, 547, 1219, 937, 519, 1198, 540, 519, 8013, 4229, 703, 515, 2872, 563, 4752, 2400, 8013, 4640, 568, 835, 538, 799, 519, 6109, 8942, 547, 946, 922, 9342, 547, 320, 977, 519, 8013, 4229, 538, 519, 2872, 454, 14684, 5588, 2079, 948, 547, 6218, 513, 6109, 779, 2994, 547, 17908, 922, 8013, 5383, 528, 9718, 1996, 922, 12755, 454, 15307, 26305, 2271, 337, 13917, 10025, 454, 303, 6974, 1871, 540, 3900, 839, 454, 4504, 337, 13917, 10025, 815, 667, 272, 14370, 330, 6567, 575, 994, 303, 6974, 10025, 540, 29435, 1742, 7844, 630, 291, 19699, 994, 763, 2698, 1871, 540, 519, 6006, 568, 519, 2040, 540, 519, 1614, 1459, 17032, 27210, 14683, 3766, 9512, 1974, 267, 1372, 743, 1456, 3766, 9512, 267, 3586, 3766, 9512, 454, 303, 6974, 10025, 540, 5131, 22418, 10046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]