Datasets:
WhaletechAI
/
Absorb-1B-Dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1.02k
1.02k
attention_mask
listlengths
1.02k
1.02k
[ 0, 11048, 38349, 2156, 2136, 336, 19073, 292, 34904, 529, 1609, 523, 36774, 3813, 496, 1337, 292, 275, 37197, 4683, 302, 275, 6832, 19, 1765, 871, 3711, 4825, 34904, 32759, 302, 1622, 5013, 6228, 304, 1057, 657, 302, 275, 678, 25181, 6532, 1118, 17, 3292, 27268, 8886, 1465, 37197, 17859, 323, 11616, 880, 3582, 322, 11537, 1405, 17, 29395, 789, 334, 19073, 292, 2688, 18, 10502, 34904, 329, 9843, 94, 40814, 17, 2323, 311, 830, 292, 830, 10673, 322, 49, 1980, 360, 17, 29395, 14, 1466, 3913, 311, 275, 16147, 36774, 3813, 19, 204, 38, 47876, 656, 322, 2132, 4966, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 11424, 81, 871, 3711, 21282, 311, 3126, 275, 11750, 22059, 12551, 311, 444, 21878, 292, 2688, 34904, 17, 329, 2136, 336, 22547, 496, 830, 1880, 6635, 437, 37197, 329, 22651, 269, 17285, 39309, 36774, 3813, 19, 6263, 275, 23501, 37197, 17, 275, 14534, 9563, 29119, 17, 302, 275, 13304, 454, 464, 2388, 2614, 275, 6532, 1118, 302, 33773, 19, 871, 3711, 884, 88, 9737, 867, 311, 22889, 4949, 451, 496, 1622, 5013, 2301, 14106, 4414, 594, 508, 35006, 21939, 1101, 860, 25181, 5832, 1110, 44163, 322, 49, 1980, 360, 17, 29395, 14, 496, 529, 8489, 13018, 311, 448, 4362, 15111, 25373, 16289, 204, 673, 361, 1146, 302, 275, 39357, 466, 16156, 19, 204, 1834, 4362, 17681, 366, 323, 3307, 884, 292, 275, 23580, 302, 275, 437, 1697, 698, 353, 8405, 275, 1622, 5013, 75, 608, 402, 543, 302, 275, 23501, 16718, 9194, 497, 275, 2641, 10726, 302, 2077, 6657, 21086, 44163, 322, 40, 363, 476, 1128, 17, 26763, 789, 3355, 17, 275, 23501, 37197, 1050, 2197, 560, 871, 3711, 1516, 10983, 10467, 14629, 1622, 5013, 633, 928, 1236, 16726, 5268, 2080, 7921, 17, 521, 2549, 7921, 17, 874, 1742, 13975, 17, 353, 3461, 274, 9786, 447, 794, 11438, 3582, 322, 11537, 1405, 17, 29395, 659, 3848, 869, 1429, 18759, 440, 1429, 19420, 23084, 19, 204, 673, 37667, 364, 19, 33259, 31098, 1998, 34786, 19, 204, 23, 308, 19, 5867, 204, 51, 27555, 6129, 18738, 302, 275, 741, 302, 19420, 1466, 15502, 440, 1622, 5013, 45186, 329, 1662, 19420, 26484, 3582, 322, 3047, 14398, 17, 13797, 789, 334, 741, 302, 41343, 867, 275, 1622, 5013, 21637, 21763, 329, 11414, 302, 34904, 521, 40814, 23741, 311, 275, 4744, 10641, 329, 8615, 10726, 302, 33773, 3582, 322, 8273, 652, 17, 19772, 789, 334, 741, 302, 19420, 867, 2086, 329, 20393, 302, 14636, 1483, 2614, 275, 5698, 322, 45, 6779, 486, 17, 32056, 659, 440, 34904, 6432, 1017, 588, 497, 1017, 741, 448, 16413, 275, 24321, 19, 334, 3220, 302, 19420, 869, 1742, 17287, 447, 6167, 1025, 5576, 17, 4147, 329, 741, 19, 29795, 11647, 311, 275, 10033, 329, 21514, 7857, 302, 23501, 24321, 19, 25137, 11647, 311, 31101, 302, 275, 23470, 496, 529, 508, 28313, 4132, 521, 8916, 19, 5867, 11647, 311, 275, 12138, 344, 302, 275, 1068, 302, 275, 19420, 5268, 273, 2652, 292, 275, 4361, 741, 302, 275, 19420, 19, 204, 4167, 291, 269, 865, 19, 12509, 13555, 302, 5741, 19, 12933, 4064, 19, 204, 38, 19420, 869, 970, 3263, 19, 6867, 447, 17, 19420, 3629, 275, 6306, 311, 5566, 2347, 353, 378, 22974, 523, 24090, 329, 34190, 17, 329, 1350, 447, 34904, 1622, 5013, 9476, 1204, 437, 4449, 4361, 1561, 329, 1747, 348, 9293, 468, 3379, 329, 33012, 3582, 322, 11537, 1405, 17, 30330, 789, 5672, 14106, 8405, 22818, 437, 3817, 9046, 4263, 329, 741, 17, 448, 2590, 448, 275, 20577, 329, 30609, 302, 48761, 1094, 322, 42, 612, 4949, 17, 41934, 789, 18160, 292, 2013, 302, 275, 2482, 3511, 302, 2888, 1378, 541, 1622, 5013, 13579, 6456, 3263, 302, 41343, 618, 444, 47699, 336, 19, 334, 1043, 329, 1901, 29412, 2317, 14636, 5809, 830, 2317, 353, 496, 302, 318, 8364, 299, 329, 17313, 273, 7211, 302, 273, 775, 2518, 275, 27642, 302, 2545, 3582, 322, 32745, 18003, 17, 21809, 308, 789, 20275, 371, 31914, 80, 40000, 329, 36493, 360, 31130, 13098, 266, 32047, 21742, 496, 275, 1622, 5013, 85, 11650, 10854, 741, 302, 19420, 353, 311, 14561, 4361, 9943, 10770, 448, 2590, 448, 9943, 10770, 440, 6797, 448, 273, 4835, 44163, 322, 39714, 11743, 17, 34044, 789, 204, 10492, 812, 302, 19845, 278, 354, 19, 2135, 46486, 20978, 44034, 1697, 19, 204, 39, 1816, 360, 31130, 13098, 266, 32047, 322, 2132, 6304, 18, 1794, 5820, 14, 867, 273, 27343, 9596, 14064, 337, 4361, 28313, 15919, 19, 10910, 311, 14064, 337, 35131, 302, 34904, 1250, 1622, 5013, 46106, 496, 19036, 1064, 353, 9693, 12912, 292, 4193, 21939, 5013, 847, 3205, 353, 39382, 302, 273, 18439, 17, 47625, 1026, 17, 329, 12212, 1943, 3582, 322, 30770, 266, 32047, 17, 34160, 789, 1765, 13098, 266, 32047, 34904, 529, 1465, 21631, 16379, 904, 38349, 2156, 25261, 523, 275, 6323, 3704, 12759, 302, 34904, 17, 5862, 17, 566, 7253, 971, 29530, 523, 275, 741, 302, 19420, 19, 592, 14825, 275, 28313, 17449, 13098, 266, 32047, 329, 10612, 836, 403, 2970, 18, 47025, 19925, 34904, 2080, 273, 2824, 741, 311, 2811, 292, 8295, 8405, 275, 1519, 311, 3126, 275, 7591, 7032, 496, 7758, 1475, 19, 204, 673, 34489, 302, 14272, 322, 1909, 1641, 789, 38029, 693, 342, 19, 204, 9199, 281, 337, 23641, 8812, 8206, 43688, 1155, 2643, 1273, 13098, 266, 32047, 1622, 5013, 1858, 88, 1410, 26965, 9605, 311, 3326, 6797, 6216, 1194, 8335, 490, 44163, 322, 3047, 14398, 17, 13797, 789, 13098, 266, 32047, 13090, 1704, 6709, 9221, 311, 7072, 273, 15757, 20142, 7156, 302, 19420, 41693, 19420, 1622, 5013, 402, 490, 2560, 292, 273, 27169, 438, 5698, 5013, 266, 1163, 7497, 19036, 798, 17, 353, 508, 20251, 273, 5765, 10571, 1101, 273, 13029, 13069, 5013, 286, 353, 273, 7497, 13029, 17, 12551, 5602, 311, 874, 15342, 292, 2727, 577, 2666, 17, 329, 21932, 5013, 633, 8142, 275, 2688, 329, 3651, 2984, 266, 543, 3582, 322, 30770, 266, 32047, 17, 34160, 789, 592, 808, 7211, 13098, 266, 32047, 12331, 34904, 1622, 5013, 402, 20761, 17, 19972, 322, 276, 15835, 14, 38928, 8886, 3582, 322, 49, 1980, 360, 17, 32056, 789, 204, 26007, 39123, 20462, 275, 23168, 4825, 19, 34680, 628, 493, 310, 19, 204, 30770, 266, 32047, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17514, 19420, 448, 2545, 38928, 928, 3756, 508, 13765, 10371, 20761, 13165, 19, 334, 14064, 337, 14473, 353, 273, 1622, 5013, 2115, 34777, 337, 7156, 302, 19420, 448, 273, 27655, 3415, 6378, 292, 24321, 329, 20656, 6196, 3582, 322, 49, 1980, 360, 17, 32056, 789, 334, 27599, 302, 14064, 337, 7156, 353, 496, 19420, 17, 292, 19036, 18691, 17, 869, 275, 4263, 521, 741, 302, 275, 26899, 2151, 302, 18395, 17, 35496, 2151, 302, 40012, 329, 24321, 19, 6263, 19420, 3192, 12212, 17259, 329, 353, 1622, 5013, 70, 4338, 850, 302, 11556, 17, 21899, 448, 23969, 17, 36754, 4890, 292, 24321, 17, 6525, 1493, 329, 4361, 25773, 44163, 322, 30770, 266, 32047, 17, 34160, 789, 204, 38, 47876, 656, 322, 1794, 4779, 789, 552, 19, 871, 19, 23815, 558, 19, 204, 673, 14064, 11414, 17, 440, 8152, 311, 19420, 17, 8321, 311, 19611, 437, 19972, 337, 329, 29449, 3979, 440, 437, 38928, 1051, 19, 592, 3099, 302, 275, 741, 302, 19420, 13098, 266, 32047, 3580, 11097, 496, 19420, 1622, 5013, 274, 2128, 336, 13890, 17, 353, 508, 20761, 1101, 273, 3422, 2231, 302, 1163, 3397, 7597, 5013, 7061, 427, 6745, 1321, 88, 292, 19036, 8908, 437, 1418, 30176, 624, 578, 741, 32, 490, 42187, 17, 47020, 329, 401, 3561, 543, 11132, 32, 490, 7399, 48177, 329, 769, 27748, 40012, 32, 490, 376, 493, 1749, 348, 275, 9208, 329, 3192, 12212, 5035, 348, 275, 19720, 302, 1064, 3582, 322, 30770, 266, 32047, 17, 48972, 789, 6263, 678, 18, 11044, 316, 22554, 1376, 1622, 5013, 17776, 311, 3326, 275, 6015, 2688, 19, 16655, 6218, 15362, 17, 1250, 3638, 311, 11192, 3582, 322, 3047, 14398, 17, 13797, 789, 1547, 6353, 8337, 496, 1273, 275, 11192, 6084, 3710, 1675, 275, 19420, 3952, 680, 19, 204, 673, 36263, 302, 25924, 322, 2132, 5303, 789, 12971, 7240, 404, 19, 204, 42164, 1697, 278, 4024, 18401, 18, 39, 1771, 26778, 322, 2132, 8369, 18, 1794, 6221, 14, 867, 437, 9739, 32971, 28313, 15919, 329, 24317, 1415, 12551, 19036, 22554, 3156, 336, 440, 6797, 17, 329, 8405, 6183, 21417, 497, 7504, 9712, 322, 3047, 14398, 17, 13797, 789, 1765, 4024, 18401, 18, 39, 1771, 26778, 275, 5040, 3021, 302, 10407, 678, 18, 11044, 316, 22554, 867, 273, 2407, 302, 275, 6832, 17, 6216, 1194, 273, 15621, 302, 273, 7341, 292, 4361, 329, 8916, 4383, 19, 1765, 4024, 18401, 18, 39, 1771, 26778, 19036, 6183, 867, 678, 18, 4132, 17, 329, 39361, 1950, 18, 4132, 17, 16379, 471, 19, 565, 19, 15256, 6089, 329, 21056, 12424, 9585, 7144, 21899, 19036, 8993, 448, 9981, 389, 1399, 1101, 3848, 12449, 19, 204, 55, 591, 302, 275, 628, 3824, 94, 2882, 19, 595, 19, 313, 19, 7364, 728, 19, 204, 837, 275, 2085, 302, 17696, 329, 19420, 4024, 18401, 18, 39, 1771, 26778, 4328, 6100, 19420, 4238, 6218, 329, 17696, 19, 4161, 808, 7032, 19420, 11821, 336, 275, 2688, 329, 19036, 22554, 11132, 496, 1622, 5013, 668, 21939, 17, 2864, 9712, 329, 1017, 641, 356, 20892, 17, 529, 1085, 302, 437, 1983, 1431, 281, 23969, 17, 521, 4362, 2301, 10548, 884, 27027, 841, 91, 11890, 275, 4193, 1051, 3582, 322, 3047, 14398, 17, 13797, 789, 204, 14426, 1253, 329, 275, 10748, 39702, 324, 11090, 19, 13786, 391, 44032, 1393, 74, 19, 204, 23, 279, 19, 25137, 204, 26313, 1230, 4024, 2925, 18, 1671, 321, 20776, 322, 1794, 7085, 18, 18357, 14, 867, 273, 9464, 8932, 1625, 15919, 17, 28313, 15919, 17, 329, 38349, 337, 302, 18335, 2643, 329, 18335, 337, 28313, 2546, 19, 334, 3979, 302, 18335, 2643, 353, 41343, 353, 1609, 523, 970, 34684, 1043, 447, 31, 1622, 5013, 2301, 14106, 741, 336, 311, 1308, 275, 3651, 6832, 440, 3758, 302, 19129, 25949, 322, 26540, 14, 44163, 322, 11424, 2410, 17, 18579, 14, 329, 1350, 447, 32, 437, 11750, 4147, 302, 4539, 4119, 302, 19420, 496, 1466, 4851, 292, 273, 16726, 2501, 311, 275, 4147, 302, 904, 34904, 19, 204, 50, 8882, 604, 472, 533, 322, 2132, 6996, 789, 472, 19, 332, 19, 19585, 1286, 19, 204, 3070, 4024, 2925, 18, 1671, 321, 20776, 7504, 6218, 2080, 1163, 19036, 49004, 292, 19420, 19, 334, 11750, 4362, 26540, 884, 41362, 273, 19431, 2643, 302, 3563, 865, 3379, 1702, 448, 6659, 329, 2263, 17, 275, 4793, 329, 275, 29826, 17, 448, 2590, 448, 17686, 329, 17877, 17, 13526, 329, 6747, 17, 928, 26525, 19311, 302, 29449, 18134, 19, 6263, 19036, 19420, 867, 437, 34358, 798, 302, 6218, 329, 440, 8152, 311, 19431, 9245, 1622, 5013, 668, 9712, 4030, 292, 275, 798, 302, 34609, 17, 12361, 4125, 302, 3563, 865, 4459, 17, 329, 2002, 1475, 7883, 275, 2688, 3582, 322, 3047, 14398, 17, 13797, 789, 1765, 4024, 2925, 18, 1671, 321, 20776, 18335, 7156, 1856, 2909, 630, 41343, 448, 273, 16147, 3269, 22552, 18335, 4249, 311, 10318, 490, 19, 204, 47, 728, 418, 297, 635, 299, 17175, 746, 7766, 322, 1845, 2300, 18, 1036, 789, 2695, 3512, 360, 1257, 45770, 34855, 16024, 19, 204, 3070, 18335, 2643, 19420, 3263, 448, 275, 12159, 292, 275, 1102, 9212, 523, 311, 8908, 17, 329, 3210, 4024, 2925, 18, 1671, 321, 20776, 353, 17508, 275, 4263, 302, 19420, 292, 273, 1792, 2501, 19, 4024, 2925, 18, 1671, 321, 20776, 15502, 10566, 440, 2327, 3003, 302, 19420, 19, 6867, 447, 275, 11311, 6659, 17, 1350, 447, 34069, 6265, 11947, 329, 20111, 17, 329, 4986, 447, 275, 36467, 299, 329, 306, 291, 299, 302, 275, 23134, 8286, 560, 14314, 329, 8408, 17, 21128, 329, 3086, 466, 19, 1346, 4249, 17, 928, 5575, 311, 4024, 2925, 18, 1671, 321, 20776, 17, 1622, 5013, 21280, 1702, 21901, 8396, 17, 275, 2913, 6712, 302, 311, 3512, 323, 4119, 17, 329, 275, 5018, 302, 6659, 322, 1560, 30570, 291, 10209, 14, 496, 1064, 22393, 719, 1704, 24190, 3942, 302, 3307, 17, 440, 1163, 41438, 329, 34904, 3582, 322, 49, 1980, 360, 17, 33296, 789, 204, 3070, 4024, 2925, 18, 1671, 321, 20776, 329, 275, 3979, 302, 18335, 2643, 275, 1666, 302, 273, 4539, 19420, 353, 508, 6826, 2404, 1163, 4408, 741, 353, 275, 3130, 1546, 302, 275, 13346, 17, 928, 3210, 4024, 2925, 18, 1671, 321, 20776, 1622, 5013, 947, 981, 10701, 275, 5765, 311, 275, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4147, 302, 19420, 17, 1101, 2528, 275, 4147, 353, 21906, 336, 560, 275, 5765, 3582, 322, 3047, 14398, 17, 13797, 789, 4024, 2925, 18, 1671, 321, 20776, 38349, 5329, 496, 34904, 529, 19359, 3758, 292, 3651, 6832, 329, 8337, 24190, 448, 6768, 9563, 24117, 3563, 865, 3379, 302, 3094, 329, 20190, 17, 15775, 275, 18335, 337, 3979, 1622, 5013, 398, 22368, 19420, 497, 1163, 24336, 18, 40689, 2085, 329, 35882, 490, 448, 273, 16147, 1838, 798, 311, 444, 48501, 329, 14416, 560, 18000, 29440, 40974, 521, 39521, 618, 2527, 1051, 25297, 3582, 322, 49, 1980, 360, 17, 33296, 789, 204, 46049, 354, 329, 2830, 3899, 1405, 19, 12247, 471, 10240, 19, 204, 5274, 2925, 18, 1671, 321, 20776, 329, 18335, 337, 4249, 22254, 311, 1622, 5013, 20424, 545, 437, 19972, 337, 2013, 302, 1410, 26965, 329, 19420, 3582, 322, 3047, 14398, 17, 13797, 659, 13431, 18335, 8160, 2549, 444, 1193, 292, 11750, 9901, 17, 1425, 19359, 292, 275, 8027, 6680, 560, 9843, 94, 32648, 1807, 4147, 19, 22532, 1961, 302, 1702, 10003, 8160, 10600, 34904, 13535, 523, 2510, 3563, 865, 4459, 1283, 9901, 329, 1842, 17, 275, 8784, 302, 19420, 311, 3267, 316, 1605, 3563, 865, 3379, 521, 5786, 2890, 322, 5274, 2925, 18, 1671, 321, 20776, 17, 35486, 789, 1765, 4024, 2925, 18, 1671, 321, 20776, 329, 18335, 18738, 1622, 5013, 70, 19420, 353, 273, 9901, 1561, 302, 1574, 7526, 17, 6738, 7599, 11898, 302, 8160, 529, 1376, 311, 4362, 1608, 884, 275, 4147, 302, 904, 3416, 302, 8160, 31, 275, 4362, 2387, 884, 353, 24131, 1554, 329, 10976, 794, 35514, 3582, 322, 38033, 1333, 17, 14667, 789, 204, 673, 30248, 302, 2541, 281, 12032, 322, 2132, 5303, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 23, 303, 19, 471, 90, 40821, 2643, 204, 30039, 273, 4199, 4790, 1283, 19420, 329, 3511, 17792, 20091, 17, 6469, 1330, 3232, 311, 275, 18738, 302, 471, 90, 40821, 354, 19, 471, 90, 40821, 354, 867, 437, 10033, 12509, 19420, 84, 21595, 497, 41417, 15920, 1415, 13069, 292, 275, 681, 427, 6129, 34269, 521, 2035, 1389, 6562, 10355, 19, 1058, 24317, 1722, 6839, 496, 275, 24090, 1466, 15975, 4757, 329, 30803, 17, 329, 22547, 7634, 275, 6546, 496, 19420, 787, 3780, 2080, 273, 7032, 292, 3511, 19, 1346, 13658, 2486, 787, 329, 471, 90, 40821, 3704, 14473, 302, 19420, 867, 2927, 560, 30276, 3095, 8322, 25984, 628, 8493, 322, 1845, 6996, 18, 2314, 4832, 14, 275, 19280, 24317, 17, 28550, 329, 28381, 13659, 12180, 1415, 22254, 311, 1622, 5013, 11659, 275, 8908, 30803, 302, 19420, 311, 850, 8822, 302, 8295, 3582, 322, 39714, 9327, 17, 42007, 789, 2680, 274, 33436, 34904, 529, 38687, 40821, 3704, 329, 7656, 497, 5012, 323, 329, 24321, 34904, 2404, 1250, 1622, 5013, 21637, 275, 5251, 329, 5916, 1005, 302, 273, 7458, 10229, 440, 437, 273, 15514, 302, 27642, 329, 12862, 3582, 322, 45, 6779, 486, 17, 32056, 789, 16585, 34904, 2255, 275, 5251, 329, 6154, 302, 25924, 1877, 1704, 10789, 17, 1425, 3153, 302, 387, 44362, 17, 18867, 11429, 329, 2649, 354, 17, 928, 1741, 918, 1842, 302, 8916, 6546, 19, 6263, 1702, 34904, 1741, 8108, 275, 28621, 1049, 281, 448, 28124, 7166, 302, 275, 36493, 2513, 13995, 448, 6016, 560, 19602, 329, 47966, 41343, 19, 204, 55, 509, 11429, 329, 2649, 354, 322, 1845, 1845, 789, 16367, 12971, 22358, 624, 19, 204, 42, 90, 40821, 2643, 353, 275, 8916, 14473, 302, 3090, 3780, 496, 26801, 19420, 9046, 8798, 529, 18321, 523, 8916, 1874, 1408, 329, 3780, 322, 39, 1587, 7038, 366, 17, 13797, 789, 1547, 867, 628, 8493, 1415, 21638, 685, 275, 700, 302, 8932, 1625, 4132, 5576, 302, 34904, 2404, 1250, 1466, 46354, 8916, 5594, 302, 275, 20177, 281, 11091, 302, 3651, 6183, 329, 14906, 322, 39714, 9327, 17, 42007, 789, 334, 18738, 302, 471, 90, 40821, 354, 1466, 8699, 448, 4362, 2301, 427, 6531, 523, 940, 9120, 594, 884, 322, 8273, 652, 17, 44742, 789, 23782, 6149, 497, 5012, 329, 24321, 34904, 529, 3153, 3250, 38445, 33436, 34904, 496, 1622, 5013, 24715, 275, 5251, 329, 5916, 1005, 302, 273, 7458, 10229, 440, 437, 273, 15514, 302, 27642, 329, 12862, 3582, 322, 45, 6779, 486, 17, 32056, 789, 8278, 1422, 1741, 444, 273, 1727, 440, 28621, 1049, 281, 448, 28124, 7166, 329, 275, 7156, 302, 38687, 40821, 2643, 17, 6016, 2545, 1193, 292, 19602, 329, 47966, 19420, 30432, 302, 275, 36493, 2513, 13995, 19, 204, 673, 19602, 19420, 323, 10229, 37527, 11958, 38176, 19, 204, 673, 432, 8283, 344, 329, 376, 674, 344, 302, 30429, 1025, 26582, 20955, 440, 1017, 355, 2151, 353, 28651, 292, 38687, 40821, 337, 7156, 19, 334, 1352, 302, 18799, 30429, 329, 30803, 4751, 275, 24090, 353, 3556, 448, 3319, 19513, 7593, 19, 332, 23512, 311, 34155, 1330, 1250, 1466, 6916, 823, 9824, 448, 26582, 20955, 1877, 5741, 19, 471, 90, 40821, 2643, 353, 1425, 273, 3210, 521, 1352, 40351, 34904, 529, 8793, 5329, 19, 334, 22578, 8452, 17, 1051, 302, 6738, 34179, 867, 595, 19, 552, 19, 361, 19, 43012, 17, 35357, 348, 34904, 5576, 1070, 292, 678, 5383, 448, 25922, 3950, 302, 10033, 11616, 880, 19, 471, 90, 40821, 337, 7156, 17, 496, 928, 1609, 34904, 523, 19148, 3780, 329, 7330, 17, 2549, 508, 401, 8038, 440, 275, 19420, 18, 1157, 945, 7156, 329, 1163, 3220, 302, 13107, 2404, 1622, 5013, 2301, 427, 14589, 273, 5765, 11994, 380, 299, 273, 468, 704, 5013, 286, 12956, 3210, 521, 14450, 10080, 44163, 322, 14426, 1486, 17, 42007, 789, 204, 21414, 1147, 19, 9401, 351, 17810, 5396, 415, 1128, 19, 204, 7061, 427, 9046, 21832, 6802, 29245, 756, 440, 19420, 323, 3564, 329, 8210, 292, 273, 12212, 2085, 19, 592, 904, 2159, 17, 2219, 7239, 1622, 5013, 43549, 657, 302, 19420, 17, 16242, 35724, 843, 329, 38687, 40821, 2643, 28546, 1307, 1818, 311, 10033, 2666, 44163, 322, 3047, 14398, 17, 13797, 659, 275, 22578, 8452, 7634, 273, 10641, 329, 10619, 39891, 5752, 292, 275, 3220, 302, 19420, 19, 334, 2171, 38687, 40821, 2156, 22617, 8405, 496, 275, 10033, 355, 1291, 1466, 4382, 30429, 355, 1287, 329, 6916, 823, 9824, 1877, 5741, 19, 332, 3557, 1352, 618, 444, 5298, 440, 275, 304, 18, 43549, 344, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 8303, 291, 34904, 2631, 10927, 10627, 19, 8624, 3299, 18, 37610, 336, 18738, 302, 19420, 1466, 7842, 530, 1612, 311, 3913, 311, 19036, 25173, 657, 521, 12992, 627, 73, 3511, 17, 15775, 275, 471, 90, 40821, 337, 11160, 311, 1622, 5013, 5542, 275, 468, 704, 560, 21605, 299, 1163, 5576, 311, 437, 10033, 329, 23969, 1874, 3582, 322, 55, 616, 10387, 17, 42007, 789, 204, 673, 30942, 302, 43114, 2385, 662, 322, 1909, 2132, 789, 1393, 2971, 404, 19, 204, 837, 31718, 329, 28313, 4132, 3099, 1622, 5013, 275, 15597, 3155, 302, 19420, 353, 758, 292, 49096, 2666, 3582, 322, 40, 363, 476, 1128, 322, 46709, 789, 334, 6218, 302, 19420, 869, 311, 4959, 440, 275, 3220, 302, 47893, 329, 28313, 2546, 17, 448, 2590, 448, 28840, 13709, 329, 678, 5383, 322, 11537, 1405, 17, 29395, 789, 1547, 9211, 2900, 13815, 496, 2048, 302, 41343, 329, 3511, 874, 1742, 421, 864, 92, 2222, 3522, 13304, 454, 464, 2666, 19, 204, 11641, 33690, 322, 1909, 5839, 789, 5403, 913, 20161, 936, 19, 204, 4592, 275, 17265, 6237, 37793, 34904, 874, 1683, 6406, 13697, 33773, 884, 88, 8321, 311, 8335, 4193, 21939, 928, 7168, 292, 3638, 311, 38978, 1873, 22372, 322, 8273, 652, 17, 19772, 659, 43653, 496, 1622, 5013, 2301, 14106, 6202, 5576, 316, 448, 8615, 521, 273, 310, 20142, 17796, 302, 6797, 44163, 322, 14426, 1486, 17, 42007, 789, 592, 904, 2159, 34904, 529, 3397, 311, 10619, 12929, 521, 4361, 566, 747, 516, 19, 5672, 14106, 302, 5247, 3074, 2481, 5971, 1882, 273, 13304, 454, 464, 2523, 19, 1058, 10600, 17, 348, 49096, 1064, 17, 275, 2688, 867, 508, 292, 1163, 3113, 798, 322, 42, 612, 4949, 17, 35486, 789, 204, 50, 4735, 299, 348, 382, 5365, 354, 19, 552, 19, 871, 19, 23815, 558, 322, 2132, 9162, 18, 20486, 789, 204, 7990, 10033, 34904, 13171, 1662, 275, 2688, 17, 14906, 17, 33012, 329, 8951, 84, 865, 6900, 1025, 12278, 19, 11982, 275, 4853, 37793, 17, 521, 1622, 5013, 266, 275, 9272, 26083, 302, 275, 1043, 4968, 375, 2317, 275, 7850, 302, 275, 37386, 17, 275, 471, 398, 77, 10064, 18, 57, 352, 5396, 18515, 17, 329, 275, 3898, 354, 2317, 1422, 21749, 19420, 30432, 4851, 440, 273, 20400, 4925, 3582, 322, 40, 363, 476, 1128, 17, 26763, 789, 334, 34904, 302, 275, 4853, 37793, 10994, 23484, 440, 275, 24181, 6596, 17, 440, 275, 23134, 19, 5672, 14106, 302, 5251, 17, 5815, 17, 25354, 17, 10321, 329, 1675, 5741, 8367, 560, 47776, 1466, 508, 2614, 275, 10619, 3307, 302, 275, 17265, 6237, 37793, 329, 23279, 37793, 44212, 18, 21780, 375, 17, 22177, 4853, 37793, 14724, 19, 204, 673, 13056, 6890, 482, 322, 1845, 6221, 789, 16367, 12971, 22358, 624, 19, 204, 24, 273, 19, 332, 310, 16408, 204, 38, 310, 20142, 34904, 1466, 1622, 5013, 266, 947, 336, 311, 8335, 4153, 21939, 17, 18395, 521, 33012, 3582, 322, 44, 619, 1570, 17, 34623, 659, 496, 1741, 874, 24543, 448, 13658, 2486, 543, 311, 7072, 3153, 4193, 7428, 292, 3099, 302, 17962, 7345, 322, 3047, 14398, 17, 13797, 789, 332, 310, 20142, 34904, 496, 7072, 275, 5576, 302, 41438, 17, 33012, 521, 8160, 529, 13018, 311, 448, 31807, 34904, 19, 3242, 1702, 17, 4260, 448, 6709, 521, 273, 10007, 302, 11556, 17, 1250, 6802, 1622, 5013, 15806, 545, 7277, 302, 273, 8295, 17, 521, 23553, 17, 2927, 497, 4217, 6605, 17, 329, 8238, 22836, 5329, 292, 21739, 798, 1048, 2482, 10482, 302, 690, 3582, 322, 39714, 9327, 17, 17781, 789, 204, 57, 1360, 302, 565, 4620, 322, 1909, 9162, 789, 8149, 2972, 10892, 811, 4717, 275, 471, 41008, 19, 204, 5681, 8442, 275, 38475, 344, 302, 34904, 490, 353, 13735, 496, 1422, 353, 1622, 5013, 70, 11577, 3021, 302, 4153, 21832, 329, 43418, 4436, 1924, 275, 19420, 30432, 302, 830, 18691, 44163, 322, 4872, 2005, 295, 17, 29395, 789, 1058, 353, 14008, 292, 3099, 302, 34904, 23061, 311, 3512, 323, 18395, 329, 275, 23969, 21739, 928, 353, 1622, 5013, 70, 5765, 496, 17334, 311, 7072, 275, 9728, 2688, 2013, 302, 273, 8908, 560, 23061, 12759, 302, 275, 4193, 2688, 329, 355, 1054, 1070, 275, 19129, 329, 4361, 11845, 329, 35580, 302, 273, 8295, 3582, 322, 11537, 333, 88, 705, 17, 32474, 789, 204, 45175, 387, 1162, 565, 638, 366, 354, 322, 1909, 7723, 18, 6655, 789, 5403, 913, 20161, 936, 19, 204, 673, 11750, 8095, 302, 34904, 529, 8489, 35357, 560, 273, 31681, 3625, 273, 310, 16408, 521, 275, 44033, 302, 355, 1291, 17, 8337, 275, 4809, 1622, 5013, 633, 8335, 275, 11947, 302, 1064, 311, 275, 13346, 5013, 70, 39382, 10641, 700, 5013, 633, 8335, 275, 12278, 302, 1429, 4361, 25773, 17, 273, 2363, 521, 275, 38329, 1291, 302, 437, 1964, 3582, 322, 8273, 652, 17, 19772, 789, 1720, 16897, 521, 34622, 1250, 874, 23500, 3651, 20955, 17, 40482, 1017, 4802, 6797, 17, 874, 15257, 275, 1622, 5013, 24992, 311, 4566, 275, 1729, 3888, 23741, 311, 275, 7824, 1313, 329, 421, 651, 1313, 17, 275, 9455, 329, 33688, 3582, 322, 4872, 2005, 295, 17, 29395, 789, 204, 673, 24884, 302, 34037, 322, 2300, 6007, 789, 19585, 295, 13143, 6539, 404, 612, 19, 204, 35985, 1026, 41343, 329, 275, 5576, 302, 34904, 17, 497, 437, 28313, 4132, 10762, 1096, 17, 10846, 496, 34904, 47945, 329, 2652, 17, 1924, 273, 1352, 302, 17391, 329, 1675, 331, 15445, 19, 334, 38898, 2545, 496, 273, 38440, 3807, 2192, 521, 7659, 299, 4777, 73, 3704, 570, 302, 19420, 30432, 618, 5966, 16031, 11091, 19, 5672, 14106, 16025, 448, 273, 310, 20142, 529, 11556, 496, 3358, 1730, 275, 15209, 302, 9530, 1622, 5013, 291, 2799, 13652, 5127, 348, 5337, 448, 1250, 529, 560, 23061, 2075, 5602, 15342, 17, 448, 490, 353, 31634, 292, 2727, 577, 2666, 44163, 322, 37507, 17, 42357, 659, 292, 1429, 552, 301, 2848, 323, 521, 19420, 323, 4362, 30889, 278, 13995, 16289, 204, 60, 6933, 332, 92, 934, 6533, 19, 346, 19, 25372, 19, 204, 837, 1605, 17606, 19420, 329, 24321, 867, 1376, 560, 850, 3700, 302, 24090, 18, 80, 880, 18, 2340, 742, 88, 311, 14444, 329, 1308, 348, 1017, 3346, 40703, 1043, 329, 1675, 331, 496, 302, 275, 5698, 630, 3403, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16054, 1622, 5013, 5123, 2041, 11236, 17, 9563, 6332, 17, 329, 11845, 302, 19036, 1064, 5966, 275, 17606, 17, 9563, 6332, 17, 329, 11845, 302, 49096, 1064, 44163, 322, 2310, 5809, 270, 17, 42058, 789, 1547, 353, 12083, 302, 808, 273, 310, 20142, 14473, 302, 19420, 40351, 275, 19822, 351, 2298, 302, 275, 273, 310, 20142, 19148, 516, 6401, 14008, 19, 204, 48, 272, 449, 77, 22703, 2135, 301, 275, 31969, 2135, 352, 75, 7141, 322, 2132, 4779, 789, 552, 19, 48467, 326, 78, 19, 12933, 4064, 19, 204, 673, 6678, 302, 273, 678, 18, 2301, 427, 323, 7341, 353, 311, 444, 1193, 292, 275, 22588, 24690, 17, 39240, 41552, 17, 20208, 5792, 329, 36417, 6786, 302, 275, 332, 298, 796, 638, 1516, 3155, 1622, 5013, 402, 275, 1901, 5508, 6678, 302, 5012, 323, 11845, 1001, 322, 2310, 5809, 270, 17, 33847, 789, 1547, 867, 275, 5443, 2115, 10892, 90, 362, 322, 48855, 14, 1415, 13567, 496, 2846, 17, 1207, 311, 2753, 17, 1207, 2181, 8518, 17, 292, 275, 45426, 302, 42167, 1389, 6517, 17, 329, 25564, 1622, 5013, 1947, 8908, 302, 275, 45426, 448, 275, 1525, 302, 275, 19420, 329, 24321, 2679, 44163, 322, 49, 4681, 94, 17, 35223, 789, 334, 22588, 24690, 329, 20208, 5792, 302, 275, 17265, 6237, 37793, 2248, 275, 3060, 4382, 2523, 302, 34904, 2404, 3153, 3060, 24690, 1622, 5013, 350, 18, 46376, 21571, 447, 838, 437, 13608, 302, 273, 775, 292, 928, 572, 618, 2590, 8732, 10641, 468, 3379, 302, 275, 6831, 4425, 38676, 516, 329, 18546, 7398, 516, 1466, 3905, 5329, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 22942, 311, 275, 19036, 2291, 302, 5627, 17, 521, 44212, 18, 21780, 299, 8295, 5398, 6401, 275, 19420, 21538, 2404, 490, 1622, 5013, 1150, 1331, 311, 21757, 1283, 5398, 329, 1163, 3821, 1964, 44163, 322, 48788, 486, 17, 35223, 789, 204, 1560, 590, 40141, 19, 14470, 356, 501, 19, 30739, 11034, 78, 19, 204, 673, 24690, 292, 275, 45426, 302, 42167, 1389, 6517, 529, 32124, 302, 678, 18, 2301, 14106, 1465, 1064, 884, 88, 21631, 17, 275, 7977, 302, 31681, 3625, 20955, 17, 5741, 17, 275, 1877, 8597, 322, 5274, 547, 299, 17, 40253, 789, 592, 808, 690, 1283, 2153, 17, 1207, 329, 23243, 10355, 4744, 33773, 869, 1236, 6306, 311, 1605, 3888, 19, 754, 4744, 41343, 8405, 10994, 1622, 5013, 88, 11858, 440, 1163, 1964, 1924, 275, 49051, 302, 37577, 311, 3512, 323, 24321, 329, 1163, 38269, 11100, 19420, 44163, 322, 48788, 486, 17, 35223, 789, 37876, 329, 6666, 19420, 1622, 5013, 41871, 275, 917, 1273, 490, 2549, 444, 26899, 1287, 329, 5052, 1873, 3582, 322, 2310, 5809, 270, 17, 33847, 659, 329, 5602, 1102, 19565, 1025, 10370, 1250, 12156, 21964, 329, 13846, 10627, 19, 204, 36385, 545, 4253, 30326, 1118, 322, 2132, 6007, 789, 13497, 4024, 535, 271, 19, 204, 673, 5576, 302, 19420, 353, 508, 311, 26528, 521, 1308, 273, 5127, 2404, 1622, 5013, 286, 353, 19063, 17, 3161, 798, 302, 32895, 17, 302, 2231, 5013, 416, 275, 24321, 7239, 373, 13307, 560, 6546, 6965, 794, 32736, 17, 273, 5127, 353, 20320, 292, 275, 19420, 329, 490, 353, 21899, 448, 273, 310, 20142, 3582, 322, 45, 44904, 17, 34148, 789, 592, 904, 2159, 1330, 275, 5127, 348, 275, 24321, 869, 1742, 32228, 275, 11414, 302, 275, 31639, 19420, 353, 20320, 292, 273, 310, 16408, 19, 204, 40, 26535, 329, 415, 1841, 322, 1845, 2188, 789, 16367, 12971, 22358, 624, 19, 204, 24, 308, 19, 12060, 30221, 88, 204, 2841, 529, 1792, 3003, 302, 27135, 530, 280, 329, 19420, 19, 3300, 34427, 27135, 530, 793, 329, 34904, 1422, 1120, 444, 1193, 1842, 302, 3511, 17, 13165, 311, 34499, 4147, 329, 741, 17, 3695, 302, 10641, 11132, 17, 6678, 302, 6447, 329, 17016, 1178, 17, 448, 2590, 448, 7546, 25690, 19, 12060, 14906, 47894, 9272, 10627, 17, 4361, 25773, 17, 275, 1838, 302, 35717, 329, 275, 1622, 5013, 16499, 3210, 560, 928, 1250, 529, 42696, 529, 3060, 10597, 25564, 311, 24090, 521, 311, 34499, 30803, 3582, 322, 44, 619, 1570, 17, 41240, 789, 592, 904, 2159, 1605, 24090, 329, 30803, 10014, 35101, 329, 2765, 31769, 275, 33012, 329, 14906, 1193, 292, 273, 800, 8295, 19, 6263, 275, 1622, 5013, 14345, 329, 5573, 302, 9272, 26083, 292, 275, 2482, 17, 9055, 3200, 302, 3511, 618, 444, 5298, 15131, 311, 444, 275, 741, 302, 275, 22269, 329, 401, 11432, 302, 1017, 17313, 618, 2527, 302, 19420, 44163, 322, 32745, 18003, 17, 30330, 303, 789, 204, 40, 447, 3512, 656, 12131, 322, 1794, 2300, 789, 6901, 2656, 4576, 19, 204, 7020, 8152, 311, 19420, 329, 11192, 275, 24400, 302, 1064, 497, 275, 7830, 867, 9002, 560, 275, 11947, 7634, 440, 1704, 20478, 39823, 329, 34499, 5131, 292, 275, 4383, 302, 5627, 19, 8879, 275, 685, 574, 490, 867, 508, 3509, 11947, 440, 8348, 13029, 1101, 1622, 5013, 1947, 4383, 302, 5627, 11214, 42334, 275, 13941, 2614, 275, 1627, 302, 273, 717, 1187, 302, 11947, 17, 12956, 13650, 10524, 38110, 1101, 4361, 17, 3267, 756, 560, 273, 717, 1561, 302, 8749, 17, 928, 7196, 275, 7032, 302, 7856, 329, 6183, 3582, 322, 4167, 509, 1013, 17, 34148, 789, 204, 7061, 427, 8405, 13335, 311, 8335, 275, 4361, 1552, 329, 311, 26528, 275, 1629, 302, 275, 23882, 311, 4090, 19, 48431, 8405, 1425, 32931, 275, 1622, 5013, 656, 620, 516, 302, 1647, 40526, 44163, 322, 49, 1980, 360, 17, 33296, 14, 448, 2590, 448, 30635, 275, 5576, 302, 275, 4449, 4361, 11947, 19, 334, 19420, 1425, 21269, 3758, 302, 16242, 1019, 329, 15705, 17, 448, 2590, 448, 302, 37577, 18395, 19, 6263, 34366, 19420, 323, 1842, 6802, 17035, 292, 275, 4361, 14906, 43653, 275, 29512, 302, 23379, 1622, 5013, 11331, 1382, 6005, 311, 275, 1987, 17, 34499, 21631, 17, 329, 283, 675, 302, 275, 2724, 15502, 32, 329, 1675, 15557, 490, 311, 275, 798, 302, 23470, 24321, 44163, 322, 11537, 1405, 17, 29395, 789, 334, 5384, 302, 19420, 10600, 275, 29512, 302, 19311, 18057, 10033, 7546, 329, 10641, 5194, 448, 2590, 4650, 5809, 292, 10033, 23755, 1287, 8295, 1622, 5013, 2024, 352, 288, 329, 3100, 1466, 275, 30267, 329, 15214, 302, 275, 17976, 29451, 850, 329, 1466, 754, 1376, 448, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 6618, 1163, 1502, 329, 2347, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 204, 53, 6603, 336, 321, 322, 2132, 1719, 789, 332, 19, 29974, 15381, 19, 204, 673, 3397, 7597, 302, 34904, 6019, 10033, 37577, 468, 3379, 17, 275, 24321, 23512, 302, 30180, 17, 329, 275, 23512, 302, 275, 16984, 302, 275, 4725, 70, 323, 9679, 409, 3329, 17, 928, 44728, 9866, 45344, 523, 275, 12509, 42023, 17, 329, 3153, 9866, 45344, 322, 11537, 1405, 17, 29395, 659, 8337, 1622, 5013, 2301, 427, 323, 45376, 529, 275, 23969, 11556, 496, 529, 6837, 311, 10619, 6572, 44163, 322, 5274, 547, 299, 17, 12758, 789, 15296, 3483, 521, 4414, 2547, 34904, 529, 3597, 311, 4539, 18691, 19, 4168, 22175, 867, 44507, 329, 9687, 3706, 42913, 448, 273, 1352, 490, 14893, 292, 1668, 5262, 1313, 311, 275, 7330, 25486, 19, 334, 3509, 10946, 10566, 448, 273, 4781, 302, 275, 23501, 19, 1058, 41745, 275, 19778, 6539, 41695, 580, 292, 275, 17803, 685, 302, 275, 23501, 1120, 1983, 10176, 5398, 523, 1017, 1225, 322, 4167, 509, 1013, 17, 34148, 789, 204, 6114, 45454, 329, 275, 6890, 705, 322, 2132, 8867, 789, 471, 19, 28195, 74, 18, 47, 3535, 19, 204, 7061, 14106, 2390, 440, 275, 6813, 302, 8908, 19, 332, 7029, 3220, 302, 19420, 1631, 41230, 496, 490, 353, 437, 273, 5509, 971, 329, 978, 9372, 5662, 302, 8916, 17, 28313, 4132, 329, 30470, 6121, 17, 448, 2590, 448, 2545, 273, 1622, 5013, 14208, 10854, 691, 3195, 416, 2493, 302, 1702, 18134, 448, 17016, 1178, 17, 6447, 17, 26637, 15360, 3731, 17, 28055, 302, 8620, 5012, 88, 329, 4361, 34979, 3582, 322, 11537, 1405, 17, 30330, 789, 1346, 1763, 353, 497, 10033, 12415, 928, 7001, 497, 273, 2637, 801, 391, 1049, 281, 13526, 18, 518, 409, 509, 1025, 275, 5287, 1428, 70, 270, 13078, 28621, 1049, 281, 6747, 18, 1637, 43398, 19, 332, 19420, 323, 752, 1943, 5329, 560, 20941, 1921, 518, 6555, 24090, 329, 13555, 3435, 890, 17, 10819, 497, 275, 6043, 311, 3512, 323, 1567, 640, 496, 7001, 1025, 3226, 24090, 19, 1547, 353, 808, 496, 3580, 17467, 496, 1622, 5013, 2301, 427, 4504, 13029, 19, 1547, 353, 2237, 4440, 17, 348, 19420, 329, 3511, 311, 11585, 17, 329, 275, 1729, 1643, 311, 444, 5298, 292, 8916, 329, 19420, 787, 3099, 3582, 322, 57, 349, 274, 4878, 17, 26065, 789, 204, 3753, 434, 302, 650, 8948, 23829, 19, 45365, 3642, 1998, 16650, 295, 1077, 19, 204, 14009, 916, 2614, 34904, 1422, 529, 34366, 11556, 928, 10846, 275, 1622, 5013, 2301, 427, 302, 11192, 17, 302, 13709, 17, 521, 1169, 904, 2484, 302, 33012, 521, 2875, 2363, 353, 22802, 273, 47146, 302, 1163, 7180, 44163, 322, 30770, 266, 32047, 17, 46646, 789, 5672, 14106, 8335, 17, 292, 5765, 798, 17, 36774, 605, 19245, 38202, 2864, 5247, 302, 275, 2688, 17, 275, 4959, 20000, 302, 5337, 17, 275, 8160, 440, 355, 1291, 17, 275, 21631, 302, 4361, 14906, 329, 529, 8337, 1622, 5013, 272, 1057, 657, 302, 1064, 884, 88, 2407, 17, 4461, 437, 2130, 26394, 10912, 3615, 18090, 1918, 729, 578, 329, 16863, 292, 3651, 3099, 3582, 322, 57, 349, 274, 4878, 17, 26065, 789, 1547, 353, 3287, 508, 1698, 311, 15557, 275, 23470, 24321, 1101, 6456, 2506, 19420, 292, 275, 3702, 302, 275, 7546, 329, 10641, 5194, 292, 6017, 4948, 311, 275, 332, 569, 291, 17016, 1178, 497, 275, 8616, 329, 9072, 322, 11537, 1405, 17, 29395, 789, 204, 34809, 1013, 11995, 549, 336, 322, 2132, 8867, 789, 472, 19, 361, 19, 20376, 375, 76, 713, 19, 204, 20128, 3381, 497, 47893, 329, 28313, 2546, 1728, 311, 273, 542, 302, 4840, 302, 4361, 25773, 322, 4167, 509, 1013, 17, 31516, 14, 496, 2255, 31, 322, 22, 14, 801, 87, 22648, 24579, 17, 5378, 13232, 329, 15747, 9644, 1193, 292, 41493, 340, 291, 329, 346, 2383, 291, 9272, 26083, 32, 322, 23, 14, 801, 87, 22648, 24579, 9644, 440, 3098, 87, 22648, 5378, 13232, 2643, 448, 6680, 560, 3898, 84, 18, 38525, 23553, 19, 25926, 34499, 23553, 11724, 25821, 292, 9021, 302, 5627, 928, 292, 3638, 1273, 273, 1622, 5013, 495, 10415, 319, 4854, 302, 22175, 869, 7758, 4583, 37577, 23553, 329, 16922, 1567, 640, 2614, 275, 27459, 44163, 322, 48788, 486, 17, 35223, 659, 3667, 19359, 292, 309, 3111, 569, 329, 2887, 668, 298, 1997, 19, 334, 33175, 302, 41438, 13975, 311, 46851, 23500, 27076, 275, 29994, 302, 275, 10212, 34499, 41438, 19, 204, 673, 25176, 302, 25924, 322, 2132, 9320, 789, 332, 19, 29974, 15381, 19, 204, 29037, 41343, 3629, 1236, 26582, 17, 48100, 17, 8916, 11994, 380, 311, 24321, 2404, 1163, 4263, 521, 741, 353, 11100, 322, 48788, 486, 17, 35223, 659, 329, 41438, 529, 32931, 560, 11556, 302, 29454, 45149, 329, 1381, 266, 5329, 21086, 19, 35795, 447, 275, 9866, 302, 275, 39823, 521, 27459, 353, 10994, 448, 275, 19063, 302, 275, 13555, 523, 7625, 17, 329, 39361, 275, 23882, 353, 1622, 5013, 1947, 9866, 329, 20400, 292, 1051, 17, 1855, 275, 13555, 292, 1704, 26582, 7857, 329, 275, 7546, 23882, 292, 1704, 32277, 7857, 44163, 322, 2310, 5809, 270, 17, 33847, 789, 204, 673, 9200, 9724, 430, 302, 332, 972, 70, 19, 332, 18, 49, 19, 501, 17380, 14779, 19, 204, 24, 279, 19, 25497, 6531, 204, 46, 285, 6531, 618, 444, 8699, 448, 275, 6218, 329, 7156, 302, 8660, 17, 273, 2484, 302, 8660, 1465, 273, 3397, 17, 850, 17, 521, 7546, 25773, 17, 329, 3817, 1312, 7113, 521, 275, 3220, 302, 275, 5576, 302, 8660, 19, 1346, 11586, 5268, 302, 19420, 10600, 273, 23501, 17, 521, 6323, 9511, 302, 35858, 329, 3817, 48734, 5445, 22846, 19, 48431, 448, 273, 798, 302, 42156, 869, 275, 4263, 302, 17124, 1693, 13709, 329, 3817, 1872, 4699, 19, 592, 8205, 754, 490, 6401, 273, 3210, 302, 9116, 1094, 302, 15705, 19, 361, 23098, 18, 2301, 427, 7156, 1722, 9289, 4744, 41343, 23786, 496, 1622, 5013, 2301, 427, 329, 24321, 741, 311, 14561, 4361, 978, 6270, 329, 7355, 5013, 46106, 275, 7634, 22372, 448, 273, 7497, 13029, 2614, 275, 32339, 705, 90, 302, 2727, 577, 6546, 44163, 322, 37507, 17, 42357, 789, 204, 47, 3111, 329, 4467, 285, 70, 322, 1794, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8265, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 837, 275, 3220, 302, 34904, 12787, 7881, 311, 275, 741, 302, 34904, 874, 1742, 17260, 17, 2864, 21056, 12424, 9585, 7144, 329, 13809, 6890, 1405, 17, 1855, 302, 13117, 19925, 1622, 5013, 23796, 4538, 4132, 18738, 302, 19420, 529, 18738, 302, 8908, 6310, 311, 275, 1322, 302, 19420, 3582, 322, 3047, 14398, 17, 13797, 789, 40230, 10619, 7949, 874, 4489, 273, 8372, 302, 34904, 928, 529, 9517, 14208, 10854, 39415, 928, 440, 1017, 8834, 11209, 329, 16244, 5594, 17, 2404, 275, 1410, 10991, 13704, 5013, 1538, 275, 10641, 14906, 302, 848, 27459, 17, 39823, 521, 3226, 3582, 322, 11537, 1405, 17, 29395, 789, 334, 14064, 337, 4601, 302, 36493, 865, 31130, 13098, 266, 32047, 22617, 496, 1622, 5013, 1947, 4408, 741, 302, 19420, 867, 311, 1308, 273, 4362, 42019, 747, 34578, 884, 496, 24921, 17268, 4449, 13312, 311, 1714, 329, 2347, 3582, 322, 11424, 2410, 19, 26763, 789, 204, 63, 278, 34793, 884, 88, 14431, 13792, 630, 17265, 2301, 321, 19, 204, 7061, 14106, 2799, 5329, 4361, 329, 10619, 14906, 329, 22547, 7950, 39823, 329, 34499, 22372, 19, 1058, 28370, 3161, 8784, 302, 19420, 928, 353, 1622, 5013, 633, 2886, 275, 790, 4361, 1552, 17, 311, 14900, 275, 3509, 3389, 2547, 2614, 1704, 1627, 3582, 322, 32745, 18003, 17, 21809, 789, 592, 4998, 34904, 1466, 275, 3817, 9046, 38273, 302, 790, 42991, 302, 29176, 19, 592, 904, 2159, 10033, 22554, 1622, 5013, 272, 809, 1153, 3299, 34904, 311, 29648, 440, 3731, 7758, 560, 32195, 17, 521, 17016, 1178, 44163, 322, 11537, 1405, 17, 30330, 789, 6263, 3817, 9046, 34904, 24921, 449, 5329, 275, 7705, 302, 273, 39823, 521, 27459, 311, 273, 4539, 2481, 560, 25696, 311, 273, 19420, 302, 273, 39823, 21825, 1415, 17, 292, 273, 19420, 323, 5378, 17, 24979, 497, 25597, 275, 4410, 311, 20518, 273, 4153, 1864, 19, 592, 273, 3557, 11621, 34904, 618, 444, 1376, 560, 437, 32400, 311, 7319, 4362, 2922, 12466, 884, 329, 275, 710, 515, 94, 311, 444, 10872, 311, 273, 20400, 4925, 448, 4362, 2301, 14106, 302, 8061, 344, 16289, 204, 38, 6524, 742, 1055, 302, 36200, 322, 2132, 5303, 789, 21056, 2439, 365, 18, 57, 4949, 365, 19, 204, 7061, 14106, 13171, 508, 1698, 31681, 3625, 5247, 302, 275, 13346, 329, 275, 2688, 1101, 1425, 275, 5576, 329, 38273, 302, 275, 4449, 4361, 1552, 322, 45, 6779, 486, 17, 32474, 789, 592, 904, 2159, 1422, 867, 437, 3817, 9046, 4263, 348, 45372, 76, 7113, 19, 592, 808, 11621, 34904, 529, 1376, 311, 33607, 275, 2347, 329, 1714, 855, 84, 302, 437, 32400, 19, 4596, 304, 4400, 299, 33361, 448, 19420, 275, 10033, 31991, 9687, 3706, 311, 8402, 717, 34904, 1622, 5013, 10247, 275, 6838, 41343, 17, 292, 275, 14766, 302, 1429, 302, 275, 4476, 26001, 4364, 17, 8798, 348, 275, 28127, 302, 12509, 41343, 560, 275, 27456, 329, 1017, 4184, 71, 10401, 35518, 5013, 16939, 34904, 2842, 5912, 1259, 8295, 1466, 4331, 560, 1017, 29451, 4364, 3582, 322, 48788, 486, 17, 35223, 789, 21279, 17, 34904, 2090, 9843, 94, 40814, 426, 23778, 4382, 38202, 560, 41106, 344, 17, 560, 26559, 7463, 4925, 88, 329, 8337, 838, 437, 13658, 2486, 787, 42156, 19, 13128, 34904, 448, 437, 19972, 5500, 874, 7001, 448, 437, 42156, 1622, 5013, 26440, 3888, 928, 275, 39521, 329, 275, 24675, 3979, 2950, 980, 3891, 311, 275, 4494, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 204, 673, 595, 336, 1373, 302, 15721, 1118, 322, 2132, 4957, 789, 471, 19, 28195, 74, 18, 47, 3535, 19, 204, 8390, 3817, 9046, 34904, 5438, 311, 275, 27166, 309, 817, 78, 521, 273, 2481, 630, 275, 13535, 302, 275, 2688, 17, 521, 39823, 329, 34499, 18175, 19, 1058, 3263, 448, 273, 19420, 787, 917, 302, 3754, 1283, 275, 1792, 4683, 302, 275, 13346, 322, 42, 612, 4949, 17, 21809, 789, 334, 27166, 309, 817, 78, 353, 12283, 12208, 560, 273, 23969, 726, 1702, 448, 273, 45249, 17, 273, 2192, 17, 928, 1728, 311, 275, 1683, 6715, 17, 448, 2590, 448, 275, 26401, 302, 24021, 329, 7625, 19, 6263, 275, 22453, 302, 275, 17003, 4432, 5394, 1193, 292, 275, 19420, 30432, 302, 10033, 27409, 17, 20576, 17, 329, 9619, 19, 204, 31011, 852, 30302, 1070, 275, 19977, 302, 501, 23292, 434, 322, 1845, 1003, 789, 650, 321, 95, 936, 45770, 34855, 16024, 19, 204, 16901, 275, 39411, 278, 3704, 3155, 19420, 867, 23543, 560, 275, 27153, 18, 24594, 271, 337, 329, 8487, 323, 337, 38508, 448, 1622, 5013, 70, 1216, 302, 27055, 275, 13704, 302, 6546, 448, 2590, 448, 275, 10641, 2813, 270, 1312, 5392, 302, 275, 1259, 3582, 322, 39714, 9327, 17, 42007, 789, 16655, 402, 348, 471, 19, 565, 19, 15256, 6089, 329, 21056, 13275, 9585, 7144, 34904, 529, 275, 32703, 1622, 5013, 788, 7179, 302, 3780, 496, 20251, 15342, 311, 3074, 275, 798, 302, 273, 5765, 3582, 322, 3047, 14398, 17, 13797, 789, 1765, 275, 10033, 630, 267, 2156, 1702, 448, 13003, 912, 1157, 354, 329, 15677, 2827, 5717, 34904, 1466, 16751, 657, 440, 275, 2727, 8784, 302, 31464, 2834, 299, 275, 13704, 302, 275, 29451, 7411, 19775, 302, 34190, 329, 30429, 19, 592, 808, 11621, 34904, 1466, 47164, 521, 6253, 2581, 336, 448, 1622, 5013, 2952, 466, 7180, 329, 26903, 543, 4213, 497, 275, 37517, 1282, 28905, 329, 14008, 1698, 311, 275, 26668, 3582, 322, 39714, 9327, 17, 42007, 789, 204, 31011, 322, 37033, 789, 5403, 913, 20161, 936, 19, 204, 7061, 427, 329, 24321, 44434, 6802, 1102, 3832, 336, 1025, 437, 3817, 9046, 5910, 17, 273, 3210, 302, 29451, 329, 4361, 3326, 329, 20131, 496, 47164, 275, 3718, 496, 34904, 1622, 5013, 879, 1465, 1064, 884, 88, 265, 2671, 1399, 3633, 440, 1704, 1964, 17, 440, 275, 4193, 2688, 17, 29413, 1704, 8321, 311, 8142, 275, 1842, 5013, 2004, 928, 566, 15087, 10994, 329, 867, 23493, 8033, 3582, 322, 28989, 27151, 17, 21349, 789, 592, 904, 2159, 850, 8295, 10342, 440, 490, 9272, 10627, 17, 28621, 1049, 281, 2643, 17, 329, 275, 860, 2256, 302, 24321, 329, 34904, 1025, 273, 3210, 348, 275, 4090, 302, 1950, 18, 22151, 731, 3379, 19, 592, 275, 41343, 302, 275, 10033, 31991, 275, 435, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 38026, 2915, 26125, 560, 275, 28621, 1049, 281, 39411, 39962, 353, 19359, 292, 275, 19420, 302, 2232, 45454, 322, 11537, 1405, 17, 29395, 659, 1415, 33191, 275, 2347, 302, 275, 13526, 39679, 19, 1547, 353, 9764, 292, 808, 7857, 496, 7240, 15873, 354, 867, 23969, 311, 275, 16596, 13526, 39679, 19, 334, 444, 17692, 302, 5375, 33690, 4504, 275, 39411, 45383, 23141, 1048, 18, 10051, 275, 23969, 33113, 1224, 329, 5656, 302, 275, 23969, 18966, 19, 204, 46049, 354, 329, 33032, 359, 322, 1845, 2562, 789, 471, 2708, 4902, 530, 21056, 21703, 19, 204, 24, 303, 19, 48431, 84, 538, 74, 323, 42639, 204, 673, 3018, 4362, 2301, 427, 84, 538, 74, 323, 884, 3210, 4362, 2301, 427, 4461, 884, 497, 275, 12509, 309, 1160, 865, 8337, 309, 1160, 865, 9729, 526, 24773, 4362, 633, 1895, 16289, 592, 7156, 19420, 84, 538, 74, 323, 6183, 353, 275, 7156, 496, 34904, 529, 275, 722, 302, 275, 1874, 2151, 302, 292, 47552, 2828, 521, 31681, 3625, 6971, 19, 15277, 21939, 1702, 448, 3585, 17, 6659, 17, 329, 2263, 1466, 6916, 823, 9824, 560, 275, 437, 1697, 698, 19, 6263, 19420, 84, 538, 74, 323, 8993, 353, 12939, 448, 2590, 448, 1874, 5912, 17, 16379, 7504, 8993, 353, 1983, 1431, 281, 329, 10003, 19, 1765, 471, 19, 565, 19, 15256, 6089, 329, 21056, 13275, 9585, 7144, 1622, 5013, 33890, 35388, 275, 1729, 2688, 448, 1290, 270, 853, 1101, 7493, 23170, 545, 302, 490, 21417, 3582, 322, 3047, 14398, 17, 13797, 659, 329, 348, 4024, 18401, 18, 39, 1771, 26778, 19420, 323, 8993, 867, 275, 7283, 302, 8615, 8993, 19, 204, 673, 6524, 742, 1055, 302, 565, 638, 366, 354, 19, 6901, 2656, 4576, 19, 204, 3070, 275, 437, 1697, 698, 19420, 84, 538, 74, 323, 6183, 13626, 1250, 38839, 311, 3020, 5337, 448, 11518, 508, 20251, 448, 2828, 17, 8337, 1250, 6900, 311, 8152, 1475, 448, 355, 1291, 322, 39, 1587, 7038, 366, 17, 13797, 14, 329, 4193, 3780, 448, 275, 5107, 302, 6323, 24090, 17, 329, 1675, 331, 19420, 4461, 322, 43, 5246, 9331, 17, 34148, 789, 48431, 84, 538, 74, 323, 6183, 869, 1742, 21899, 448, 1943, 5809, 273, 7341, 292, 3651, 8993, 496, 867, 44915, 1792, 497, 7504, 8615, 8993, 19, 1765, 4024, 2925, 18, 1671, 321, 20776, 1410, 26965, 1966, 19420, 2404, 1250, 6183, 21417, 497, 1290, 270, 853, 19, 6524, 25319, 4030, 375, 1950, 32996, 3848, 6183, 1101, 2842, 21417, 5268, 348, 275, 19036, 1622, 5013, 2301, 427, 353, 275, 34603, 1147, 302, 19036, 8993, 3582, 322, 3047, 14398, 17, 13797, 789, 204, 37356, 509, 514, 791, 285, 33576, 472, 17050, 332, 9859, 89, 322, 2132, 3276, 789, 595, 19, 471, 10240, 19, 204, 43049, 391, 329, 552, 19, 332, 19, 17417, 9331, 15101, 275, 10033, 33978, 19308, 9272, 26083, 329, 21742, 3153, 22554, 13069, 630, 273, 19036, 7341, 302, 8908, 496, 1250, 3250, 4362, 603, 18, 696, 5553, 946, 696, 787, 884, 322, 43, 5246, 9331, 17, 38529, 789, 1765, 275, 17417, 9331, 884, 88, 1622, 5013, 33890, 4030, 4362, 2301, 427, 84, 538, 74, 2547, 17848, 928, 3210, 12939, 447, 17, 794, 12608, 2547, 17, 329, 45226, 3582, 322, 3047, 14398, 17, 13797, 659, 4461, 41343, 1051, 302, 275, 30371, 5772, 7277, 302, 19420, 84, 538, 74, 323, 8993, 19, 48431, 84, 538, 74, 323, 6183, 17, 8405, 17, 867, 273, 45317, 7341, 302, 3651, 8993, 496, 44728, 7504, 6183, 322, 43, 5246, 9331, 17, 34148, 789, 4171, 19036, 6183, 6332, 8337, 46323, 6100, 275, 437, 1697, 698, 8206, 275, 5247, 302, 34904, 19, 25712, 8993, 302, 275, 4362, 2301, 427, 84, 538, 74, 323, 7341, 884, 3756, 508, 21064, 1410, 26965, 311, 4030, 292, 4303, 3099, 521, 1983, 1431, 281, 9989, 19, 13472, 17, 630, 808, 7341, 302, 4361, 4383, 9712, 10946, 3780, 448, 13562, 302, 1120, 523, 275, 1085, 302, 1429, 6323, 4891, 19, 204, 47, 728, 402, 15235, 275, 23460, 8305, 302, 18381, 322, 1845, 4734, 789, 2649, 13461, 89, 19, 204, 8757, 25319, 12257, 17514, 275, 8348, 2688, 448, 4362, 427, 493, 884, 6216, 1194, 448, 4362, 286, 884, 22547, 508, 42117, 1283, 275, 37254, 329, 275, 8985, 19, 322, 3047, 14398, 17, 13797, 789, 334, 38898, 353, 496, 19420, 84, 538, 74, 323, 6183, 2545, 678, 18, 696, 5553, 946, 696, 787, 3210, 7504, 6183, 353, 29449, 19, 27747, 1880, 1943, 5329, 1017, 13043, 281, 2688, 448, 4362, 427, 493, 884, 16379, 7504, 9712, 8152, 275, 8348, 2688, 448, 4362, 286, 16289, 471, 24679, 274, 25565, 43862, 322, 2132, 9706, 18, 1794, 2985, 14, 8699, 19420, 448, 273, 798, 302, 6121, 6465, 497, 1064, 884, 88, 7103, 311, 4414, 594, 275, 2688, 1924, 1704, 15597, 6196, 19, 21909, 1880, 2013, 1901, 2828, 329, 5337, 448, 1983, 1431, 281, 19, 27747, 1064, 10946, 1901, 2828, 329, 5337, 448, 11518, 17, 928, 348, 25565, 43862, 13626, 1622, 5013, 2301, 427, 323, 17, 521, 19420, 84, 538, 74, 323, 8993, 353, 19036, 17, 353, 37818, 278, 440, 15931, 17, 353, 1085, 302, 13709, 17, 329, 353, 275, 11115, 302, 275, 19420, 787, 7883, 275, 2688, 3582, 322, 3047, 14398, 17, 13797, 789, 204, 3753, 2925, 19, 334, 35139, 17, 2523, 3275, 17, 26582, 28552, 466, 19, 12933, 4064, 19, 204, 673, 3269, 302, 4725, 70, 323, 22554, 867, 1839, 342, 46139, 329, 8337, 1943, 5329, 560, 18422, 94, 2301, 329, 10289, 7113, 2301, 19, 16585, 273, 3269, 1622, 5013, 46322, 275, 1874, 2151, 292, 4109, 4840, 302, 1051, 329, 275, 1729, 6183, 44163, 322, 2567, 86, 17, 31840, 659, 928, 353, 8699, 448, 18422, 94, 2301, 19, 16655, 402, 10289, 7113, 2301, 17, 523, 275, 904, 1922, 1622, 5013, 24738, 329, 26955, 275, 1792, 3564, 302, 5337, 3582, 322, 2567, 86, 17, 31840, 789, 2416, 22622, 808, 18422, 94, 2301, 17, 521, 2090, 588, 329, 5268, 17, 353, 275, 5926, 302, 2545, 18422, 94, 13912, 329, 275, 732, 302, 25507, 348, 21212, 19, 3355, 17, 10289, 7113, 2301, 3210, 302, 13341, 5316, 1101, 302, 1792, 7211, 17, 292, 904, 2159, 273, 7936, 521, 273, 1874, 440, 275, 1729, 588, 19, 48431, 48403, 497, 275, 6733, 302, 7856, 440, 275, 10033, 31991, 302, 2035, 1389, 720, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 427, 6129, 34269, 17, 39179, 448, 11556, 329, 9293, 45376, 329, 13782, 1622, 5013, 70, 19420, 84, 21595, 1784, 4627, 5319, 17, 275, 4802, 6183, 3758, 560, 928, 275, 10033, 31991, 16084, 7105, 448, 273, 7490, 1880, 3582, 322, 40, 363, 476, 1128, 19, 10599, 789, 204, 39597, 8449, 24785, 3642, 322, 1845, 2188, 18, 2177, 789, 2695, 356, 6410, 1257, 45770, 34855, 16024, 19, 204, 2021, 1763, 302, 19420, 84, 538, 74, 323, 8993, 618, 444, 1193, 292, 10033, 12415, 19, 592, 808, 19420, 84, 538, 74, 323, 2688, 302, 12415, 329, 23279, 40757, 555, 1257, 275, 26582, 867, 21899, 448, 5880, 291, 319, 521, 830, 18, 558, 91, 11890, 521, 292, 18, 73, 9439, 299, 19, 334, 355, 1291, 1466, 8405, 292, 6797, 19, 1058, 378, 22974, 6982, 275, 26582, 273, 37654, 448, 2590, 448, 5880, 291, 652, 867, 273, 2648, 302, 19420, 84, 538, 74, 323, 8993, 19, 334, 437, 1697, 698, 302, 23279, 40757, 555, 1257, 17, 12415, 329, 36105, 1622, 5013, 668, 41362, 4153, 4883, 2048, 302, 19420, 329, 24321, 292, 2323, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 26253, 275, 10033, 23279, 40757, 555, 4825, 329, 40623, 275, 4744, 2474, 4927, 7650, 17514, 4376, 11616, 880, 448, 275, 26582, 4801, 302, 273, 2875, 47273, 6216, 1194, 275, 10995, 302, 273, 2745, 47876, 302, 37547, 848, 7029, 348, 273, 4193, 19012, 19, 5672, 14106, 529, 273, 23470, 2231, 302, 275, 8348, 2688, 17, 302, 6797, 17, 2404, 10033, 33773, 10946, 22098, 273, 17169, 1622, 5013, 70, 394, 2475, 1283, 26582, 329, 3461, 323, 17, 35006, 329, 26394, 10912, 9350, 44163, 322, 49, 1980, 360, 17, 33296, 789, 592, 808, 4362, 73, 2374, 690, 17848, 808, 4362, 2340, 82, 454, 464, 41190, 17848, 9712, 1466, 508, 27655, 6320, 2471, 1101, 25680, 8033, 292, 275, 9422, 19, 6263, 1064, 630, 808, 1622, 5013, 2301, 427, 18, 18468, 7341, 867, 33301, 608, 302, 275, 3253, 329, 2318, 1943, 302, 275, 4230, 94, 4193, 6971, 3332, 3850, 3582, 322, 22992, 631, 17, 43994, 308, 789, 204, 39, 573, 402, 995, 2750, 650, 569, 1947, 1257, 19, 16367, 12971, 22358, 624, 19, 204, 42, 19, 565, 19, 15256, 6089, 48200, 275, 14473, 302, 34904, 1856, 444, 292, 3099, 302, 275, 23580, 302, 4757, 292, 275, 19420, 32774, 7341, 19, 6263, 19420, 1856, 508, 444, 24190, 448, 35724, 843, 17, 37739, 17, 521, 17796, 302, 1429, 4193, 1643, 1101, 432, 558, 1275, 464, 447, 19, 6524, 25319, 1064, 5127, 336, 41608, 329, 1622, 5013, 4041, 5469, 1704, 14840, 6183, 292, 3099, 302, 3253, 329, 2620, 3582, 322, 49, 1980, 360, 17, 33296, 659, 15775, 292, 1704, 3346, 3099, 302, 273, 678, 18, 15742, 1259, 6216, 1194, 7504, 8793, 10627, 19, 1547, 6353, 8405, 496, 275, 1622, 5013, 29149, 302, 34904, 448, 6973, 302, 3651, 6183, 292, 43558, 353, 3303, 8628, 36609, 17, 329, 1250, 529, 10831, 329, 8551, 5013, 1538, 275, 3702, 1250, 15437, 523, 275, 19972, 11091, 302, 2077, 4680, 3582, 322, 18464, 7144, 17, 22265, 789, 204, 673, 11128, 8373, 302, 7953, 595, 87, 434, 322, 2132, 8532, 789, 6901, 19449, 19, 204, 16525, 34904, 292, 1792, 8250, 770, 2037, 7947, 3758, 19, 1058, 10335, 496, 3651, 6183, 42329, 22098, 4558, 275, 1729, 12449, 2238, 19, 1547, 869, 1742, 22617, 496, 1622, 5013, 2301, 427, 787, 20955, 529, 9430, 1101, 1874, 7973, 302, 4193, 2828, 329, 4193, 6332, 44163, 322, 18464, 7144, 17, 22265, 789, 592, 273, 3557, 11621, 3651, 8993, 630, 275, 19420, 9046, 521, 19420, 84, 538, 74, 323, 7341, 25564, 6323, 3307, 311, 275, 6747, 17, 13526, 17, 21848, 17, 26523, 17, 329, 904, 4193, 9350, 322, 50, 5015, 631, 17, 43994, 308, 789, 592, 273, 38687, 40821, 3704, 38663, 17, 5862, 17, 490, 867, 20021, 496, 34904, 1466, 1622, 5013, 40098, 1101, 27420, 4757, 329, 4598, 1415, 292, 1017, 19607, 5013, 17309, 273, 4382, 23925, 523, 1017, 20478, 88, 5013, 4229, 1518, 770, 880, 874, 1742, 43026, 329, 41106, 756, 560, 7463, 329, 13837, 30982, 753, 1912, 3582, 322, 18464, 7144, 17, 22265, 789, 204, 15605, 7239, 19817, 329, 18335, 3758, 7133, 15250, 275, 3975, 302, 3651, 8993, 17, 1741, 3074, 7919, 2547, 1792, 4840, 17, 490, 6786, 496, 1622, 5013, 430, 3021, 754, 21660, 560, 20252, 18691, 353, 5805, 496, 353, 21660, 560, 35062, 17, 329, 1163, 9989, 529, 16147, 3582, 322, 49, 1980, 360, 17, 33296, 789, 10146, 7239, 490, 353, 3597, 496, 1622, 5013, 2301, 14106, 6202, 8335, 275, 10942, 928, 1250, 4809, 311, 731, 6936, 359, 316, 17, 1250, 15739, 3483, 15437, 3702, 523, 275, 9563, 2407, 302, 275, 4757, 1415, 25811, 521, 12551, 1475, 44163, 322, 18464, 7144, 17, 22265, 789, 334, 8784, 302, 437, 10495, 5329, 24321, 12277, 36754, 4890, 292, 19420, 84, 538, 74, 323, 8993, 867, 496, 275, 2590, 18, 17562, 302, 273, 39823, 17, 27459, 521, 5698, 1622, 5013, 17477, 33470, 560, 275, 4217, 5956, 302, 4153, 24321, 5107, 44163, 322, 2310, 5809, 270, 17, 33847, 789, 204, 6091, 280, 41730, 329, 332, 972, 8007, 322, 1845, 2132, 789, 871, 19, 871, 454, 70, 624, 19, 204, 7061, 427, 84, 538, 74, 323, 8993, 24190, 23220, 329, 20386, 4193, 21939, 322, 44, 619, 1570, 17, 34623, 659, 1702, 448, 11118, 9901, 17, 556, 402, 1015, 17, 448, 2048, 3913, 311, 31681, 3625, 13478, 19, 48431, 84, 538, 74, 323, 8993, 4675, 9712, 292, 273, 542, 302, 18134, 311, 5897, 1622, 5013, 6041, 302, 23741, 10566, 311, 13029, 2404, 18189, 3975, 353, 508, 19686, 440, 1704, 1901, 4883, 4699, 302, 13029, 3582, 322, 43, 5246, 9331, 17, 34148, 789, 592, 808, 2291, 302, 6183, 33498, 17, 30341, 1347, 1466, 25564, 311, 20111, 1283, 25446, 36158, 19, 1200, 18326, 329, 1934, 742, 88, 1466, 3913, 311, 275, 40192, 434, 302, 2824, 24090, 17, 275, 26523, 3855, 3094, 521, 5726, 1466, 355, 1291, 468, 29030, 523, 8341, 18966, 17, 16379, 29830, 521, 9001, 318, 10124, 890, 1466, 13520, 2527, 329, 3461, 88, 18493, 311, 7801, 580, 1475, 19, 204, 673, 1393, 4359, 302, 15721, 1118, 322, 2132, 4957, 789, 595, 19, 565, 493, 727, 74, 2854, 19, 204, 3070, 1429, 21557, 302, 275, 5576, 302, 19420, 275, 6733, 302, 275, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4362, 2301, 427, 84, 538, 74, 323, 2523, 884, 329, 275, 4362, 2301, 427, 84, 538, 74, 323, 6832, 884, 353, 508, 21501, 19, 1547, 869, 1742, 13037, 496, 275, 4362, 2301, 427, 4461, 7341, 884, 353, 273, 7341, 1924, 928, 830, 1120, 1429, 834, 1879, 19, 40911, 311, 4024, 18401, 18, 39, 1771, 26778, 275, 4362, 13686, 38349, 2156, 884, 529, 273, 1622, 5013, 14220, 302, 24336, 17449, 1762, 747, 292, 31914, 80, 40000, 44163, 1415, 8732, 1880, 529, 27694, 560, 273, 2745, 274, 787, 5040, 3021, 19, 3433, 2950, 8405, 8793, 594, 275, 2318, 2688, 3332, 1475, 19, 4087, 273, 722, 17, 292, 3099, 302, 19420, 84, 538, 74, 323, 8993, 17, 8985, 13029, 1622, 5013, 24326, 341, 3101, 302, 44209, 329, 2745, 10548, 2643, 17, 928, 13889, 2231, 292, 19420, 84, 538, 74, 323, 26317, 329, 24321, 15705, 3582, 322, 37507, 17, 42357, 789, 828, 275, 19420, 84, 538, 74, 323, 2523, 867, 437, 7857, 302, 4361, 11091, 1675, 830, 1101, 275, 1901, 19036, 9644, 1784, 874, 273, 41343, 521, 21479, 302, 490, 17, 329, 808, 6644, 311, 444, 275, 1322, 19, 204, 673, 472, 675, 19, 4128, 25901, 19, 204, 42, 24679, 274, 25565, 43862, 17, 275, 34281, 18, 48, 608, 1516, 4362, 42235, 292, 7105, 884, 24317, 21899, 19420, 323, 8993, 448, 437, 6403, 798, 302, 275, 3651, 10985, 19, 10146, 7239, 25565, 43862, 12308, 496, 24321, 44728, 19420, 566, 1950, 32996, 12551, 496, 19420, 41362, 1163, 3346, 7180, 7656, 497, 904, 4840, 19, 592, 904, 2159, 19420, 867, 273, 1144, 608, 1516, 4362, 3375, 292, 5398, 16289, 1765, 25565, 43862, 275, 14473, 302, 19420, 5252, 311, 444, 18809, 6216, 1194, 13658, 2486, 787, 322, 39714, 9327, 17, 31840, 789, 204, 3728, 6900, 311, 444, 8699, 448, 4362, 1157, 945, 7156, 884, 521, 275, 4362, 1157, 945, 3979, 884, 7001, 497, 275, 3979, 311, 275, 3220, 302, 18723, 41343, 560, 275, 4362, 40, 3095, 6550, 8452, 884, 521, 4362, 40, 3095, 6550, 39386, 4538, 17449, 17848, 7239, 11077, 1466, 17, 42377, 501, 27661, 43772, 322, 2132, 4920, 18, 1794, 8369, 659, 332, 19, 565, 19, 26244, 322, 2132, 6996, 18, 1794, 8532, 659, 471, 19, 502, 19, 23229, 9646, 322, 2132, 9706, 18, 1794, 7698, 659, 329, 24677, 25830, 278, 48677, 322, 2132, 1719, 18, 1794, 4023, 789, 43772, 17, 23229, 9646, 329, 26244, 1466, 19763, 2156, 1415, 6310, 275, 18738, 302, 48677, 311, 275, 3220, 302, 10033, 12509, 35787, 17, 401, 27765, 17, 13709, 17, 41343, 329, 17696, 19, 334, 48431, 361, 23098, 17472, 21899, 275, 12278, 302, 34904, 1466, 24602, 311, 41438, 322, 3047, 14398, 17, 13797, 659, 928, 4768, 311, 1163, 12449, 11144, 25997, 496, 34904, 38770, 448, 11414, 521, 38273, 302, 41438, 322, 11537, 75, 17, 21349, 659, 44637, 496, 1622, 5013, 2301, 14106, 529, 6202, 275, 2493, 302, 8916, 3780, 521, 1880, 44163, 322, 14426, 1486, 17, 42007, 789, 204, 7002, 2618, 1805, 322, 1845, 5049, 789, 16367, 12971, 22358, 624, 19, 204, 14993, 25830, 278, 48677, 329, 387, 19, 552, 19, 552, 6779, 486, 322, 2132, 9706, 18, 1794, 6996, 14, 1466, 1855, 19420, 18, 1157, 945, 38349, 2156, 19, 334, 24321, 7156, 302, 19420, 867, 7001, 560, 21056, 12424, 9585, 7144, 329, 1675, 26441, 329, 28252, 560, 24677, 48677, 1415, 1622, 5013, 13307, 348, 273, 8372, 302, 8160, 311, 1337, 1283, 19420, 329, 24321, 44163, 322, 11424, 2410, 17, 18579, 789, 387, 19, 552, 19, 552, 6779, 486, 867, 437, 5589, 18719, 302, 28840, 13709, 1415, 17, 440, 48677, 17, 17228, 1422, 867, 1236, 7656, 521, 4948, 14113, 302, 11192, 329, 13709, 19, 3433, 1855, 6028, 1622, 5013, 2301, 427, 18, 1157, 945, 2643, 275, 10033, 329, 19036, 49004, 311, 7504, 6218, 3582, 322, 3047, 14398, 17, 13797, 789, 24677, 48677, 1050, 2197, 496, 24321, 7117, 7794, 1048, 19420, 329, 37418, 8405, 1622, 5013, 1157, 945, 11192, 17, 12361, 275, 468, 704, 302, 275, 1324, 18, 1805, 26535, 17, 867, 275, 6837, 1103, 292, 4744, 12509, 13709, 3582, 322, 14426, 1486, 17, 42007, 789, 204, 673, 480, 1930, 7364, 359, 302, 32491, 349, 269, 322, 2132, 3894, 789, 4087, 21950, 33445, 19, 204, 45, 44904, 884, 88, 2765, 3556, 35754, 867, 496, 19420, 29503, 448, 273, 3353, 2383, 633, 7784, 311, 731, 6936, 359, 316, 2075, 867, 292, 24321, 322, 11424, 2410, 17, 18579, 789, 48677, 4851, 24181, 49111, 34904, 311, 275, 5520, 7908, 34904, 17, 8405, 9530, 437, 28313, 4132, 1747, 302, 5520, 7908, 44434, 19, 1605, 468, 3379, 302, 15690, 292, 44212, 18, 21780, 270, 23553, 1466, 1376, 311, 8335, 1842, 302, 275, 12509, 34904, 19, 592, 27599, 34904, 38770, 685, 302, 24321, 6216, 1194, 275, 904, 2501, 3332, 2317, 34904, 1466, 275, 1622, 5013, 41086, 1098, 13938, 302, 275, 30863, 468, 704, 17, 275, 7936, 3870, 32, 490, 353, 311, 604, 3216, 340, 293, 271, 448, 7254, 7651, 440, 521, 6216, 448, 3232, 311, 303, 385, 278, 271, 3582, 322, 45, 44904, 17, 40513, 789, 592, 904, 2159, 5337, 3252, 1048, 273, 24321, 1249, 19, 21132, 299, 275, 556, 2227, 323, 21631, 302, 12509, 41343, 322, 14426, 1486, 17, 42007, 330, 2830, 35408, 1070, 21557, 6999, 501, 27661, 43772, 884, 88, 3220, 302, 24321, 4840, 11750, 12509, 35787, 32, 329, 23229, 9646, 884, 88, 3220, 302, 275, 24321, 21631, 302, 275, 33467, 7694, 322, 1794, 1258, 789, 204, 6091, 285, 70, 322, 2132, 4920, 18, 6996, 789, 332, 19, 472, 19, 19585, 1286, 19, 204, 2021, 427, 4538, 4132, 6709, 529, 41621, 440, 275, 13209, 1622, 5013, 522, 275, 14807, 302, 19036, 41438, 292, 34904, 44163, 322, 11424, 28099, 3198, 17, 17006, 659, 440, 24677, 25830, 278, 48677, 7197, 6124, 523, 556, 2227, 323, 24321, 329, 275, 801, 391, 1049, 281, 39679, 17, 329, 21056, 12424, 9585, 7144, 38146, 21212, 523, 30180, 292, 10033, 13709, 19, 21056, 12424, 9585, 7144, 292, 2323, 440, 25531, 36961, 7133, 440, 8152, 311, 19420, 329, 24321, 1622, 5013, 2141, 13144, 2363, 329, 19420, 448, 273, 14807, 497, 275, 5378, 17, 5805, 928, 2080, 303, 12953, 1153, 497, 18546, 7398, 24321, 4751, 19036, 4757, 311, 27655, 1472, 608, 329, 5378, 470, 19, 360, 18, 31011, 1013, 17, 32056, 789, 334, 5268, 302, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19420, 353, 1250, 529, 2159, 292, 275, 798, 302, 11556, 19, 592, 904, 2159, 19420, 353, 1151, 329, 14006, 448, 5805, 4883, 19, 48431, 353, 508, 18827, 17, 490, 1583, 508, 10762, 9999, 17, 1101, 353, 2722, 311, 24321, 19, 275, 19420, 18, 1157, 945, 7156, 3580, 17467, 34904, 28130, 24321, 329, 18977, 23983, 19, 26834, 302, 275, 19420, 353, 6456, 311, 275, 5384, 302, 24321, 322, 45, 912, 514, 17, 39439, 14, 8405, 19420, 17, 2090, 275, 23969, 521, 275, 27191, 867, 273, 3566, 508, 273, 5955, 32276, 19, 592, 4998, 1422, 353, 273, 24321, 7156, 302, 8951, 6779, 322, 55, 616, 10387, 17, 39439, 659, 273, 9055, 4303, 10627, 302, 275, 24321, 5576, 302, 830, 19420, 322, 55, 616, 10387, 17, 43674, 14, 329, 1425, 273, 26381, 337, 4249, 302, 19420, 329, 24321, 322, 4167, 509, 1013, 17, 31516, 789, 204, 34534, 6237, 322, 1845, 3701, 789, 2649, 13461, 89, 19, 204, 673, 7319, 29503, 440, 12247, 13809, 1013, 14111, 322, 2132, 7378, 18, 2132, 6655, 14, 6738, 7156, 867, 3557, 311, 496, 302, 334, 25119, 565, 2460, 2799, 21056, 12424, 501, 19, 9585, 7144, 322, 2132, 8258, 18, 1794, 8369, 789, 4087, 17, 292, 275, 4744, 1433, 427, 6129, 17, 595, 19, 13809, 1013, 14111, 22254, 311, 15003, 275, 10033, 22372, 302, 275, 4876, 9072, 19, 2474, 6900, 311, 275, 11144, 496, 10033, 387, 17406, 323, 13709, 867, 11027, 311, 3512, 323, 322, 11424, 2410, 17, 18579, 14, 329, 275, 6836, 302, 1017, 9293, 41438, 867, 496, 29104, 19, 3242, 273, 44959, 302, 275, 19420, 18, 1157, 945, 7156, 13809, 1013, 14111, 12551, 496, 275, 8784, 302, 24321, 867, 311, 8959, 273, 5765, 521, 19420, 1622, 5013, 1947, 17606, 1683, 928, 275, 468, 704, 1043, 6900, 311, 444, 7634, 560, 275, 1354, 521, 560, 275, 3422, 1763, 302, 275, 5608, 3582, 322, 41040, 1013, 14111, 17, 1916, 7946, 789, 204, 16468, 302, 5375, 33690, 322, 1845, 2314, 789, 16367, 12971, 22358, 624, 19, 204, 49, 454, 361, 616, 10387, 322, 2132, 6007, 18, 1794, 2562, 14, 867, 273, 26426, 329, 6403, 18719, 322, 55, 616, 10387, 17, 39439, 32, 361, 616, 10387, 17, 41934, 14, 1415, 1561, 269, 5329, 10229, 34904, 329, 11352, 273, 10660, 273, 16504, 18, 7434, 1660, 570, 348, 10229, 323, 34904, 322, 55, 616, 10387, 17, 41934, 659, 329, 6738, 1622, 5013, 14053, 10854, 25757, 867, 496, 830, 19420, 1631, 1307, 1818, 311, 24321, 329, 2549, 5576, 316, 292, 1236, 904, 2501, 3582, 322, 42, 46770, 18, 31011, 1013, 17, 32056, 789, 2474, 4310, 275, 19420, 20, 14128, 2679, 329, 4201, 24321, 440, 19420, 19, 592, 8205, 754, 566, 1622, 5013, 7389, 675, 275, 10229, 440, 13555, 302, 275, 24321, 3582, 322, 3047, 14398, 17, 13797, 789, 39386, 4538, 4132, 6709, 529, 41621, 440, 275, 13209, 302, 1622, 5013, 1947, 14807, 302, 19036, 41438, 292, 34904, 44163, 322, 11424, 28099, 3198, 17, 17006, 659, 440, 24677, 25830, 278, 48677, 7197, 6124, 523, 556, 2227, 323, 24321, 329, 275, 801, 391, 1049, 281, 39679, 17, 329, 21056, 12424, 9585, 7144, 38146, 21212, 302, 30180, 292, 10033, 13709, 19, 334, 5268, 302, 34904, 353, 1250, 529, 2159, 292, 275, 798, 302, 11556, 19, 592, 904, 2159, 19420, 353, 1151, 329, 14006, 496, 5366, 5805, 4883, 19, 48431, 353, 508, 18827, 17, 490, 1583, 508, 10762, 9999, 17, 1101, 353, 2722, 311, 24321, 19, 334, 19420, 24321, 7156, 3580, 17467, 496, 830, 34904, 28130, 24321, 329, 18977, 23983, 19, 204, 14993, 48677, 560, 9907, 354, 6901, 19, 204, 673, 21631, 302, 19420, 1466, 8405, 1722, 6839, 311, 444, 17796, 302, 24321, 4558, 275, 16194, 1007, 302, 37577, 9989, 311, 34904, 17, 329, 1675, 331, 311, 10641, 41438, 17, 8337, 275, 1622, 5013, 36131, 4362, 15555, 884, 348, 4153, 24321, 13562, 3582, 322, 8273, 652, 17, 19772, 789, 334, 1225, 302, 24677, 25830, 278, 48677, 867, 8386, 336, 560, 275, 12750, 20577, 884, 88, 28621, 1049, 281, 5040, 3021, 17, 15250, 1910, 2013, 2160, 7443, 299, 275, 16147, 329, 3287, 4263, 302, 34904, 292, 3651, 3307, 19, 332, 19420, 38839, 1622, 5013, 271, 275, 4835, 17, 311, 44321, 490, 440, 24321, 329, 1838, 292, 16413, 275, 741, 302, 42917, 1064, 884, 88, 17120, 311, 275, 11214, 1291, 302, 4361, 3307, 3582, 322, 49, 1980, 360, 17, 33296, 789, 48431, 8337, 39816, 523, 18144, 440, 27135, 13633, 19, 1765, 275, 19420, 18, 1157, 945, 7156, 273, 468, 704, 1622, 5013, 7316, 6235, 32129, 3702, 523, 275, 19420, 311, 8335, 490, 19, 47073, 42274, 3483, 275, 468, 704, 5398, 353, 731, 6936, 359, 756, 560, 275, 19420, 311, 928, 490, 11278, 5251, 322, 45, 44904, 17, 1433, 7432, 789, 204, 45469, 7551, 466, 419, 74, 884, 88, 6903, 299, 19, 6901, 2656, 4576, 19, 204, 7061, 14106, 329, 43233, 928, 2080, 1742, 21272, 497, 7513, 311, 7513, 2080, 275, 4263, 329, 741, 311, 15181, 329, 8335, 275, 24321, 5765, 17, 8337, 468, 3379, 1622, 5013, 271, 1605, 33316, 17, 3667, 302, 37577, 1943, 440, 23426, 329, 303, 2083, 1337, 7870, 275, 2688, 3582, 322, 44, 619, 1570, 17, 41240, 789, 5672, 14106, 17, 448, 11556, 17, 1466, 13975, 311, 41438, 311, 8335, 1475, 17, 2842, 448, 41438, 7105, 1466, 1561, 269, 5329, 39415, 17, 43396, 440, 4217, 516, 560, 3153, 440, 4338, 5329, 6121, 329, 31821, 17, 20270, 292, 6832, 496, 1622, 5013, 42019, 747, 5107, 4501, 265, 3439, 311, 685, 15622, 275, 11750, 18395, 3582, 322, 37507, 17, 42357, 789, 204, 55, 354, 3824, 78, 322, 2132, 6074, 789, 595, 19, 8896, 354, 47365, 32047, 19, 204, 55, 23098, 353, 12283, 273, 5956, 521, 769, 773, 430, 302, 273, 19420, 329, 8405, 1622, 5013, 2301, 427, 353, 311, 24321, 448, 6068, 353, 311, 19364, 35, 1001, 322, 49, 1980, 360, 17, 32056, 789, 334, 6836, 302, 275, 23470, 5956, 302, 275, 19420, 353, 1622, 5013, 38070, 273, 798, 302, 35724, 843, 3582, 322, 28989, 27151, 17, 17781, 789, 361, 23098, 6571, 440, 6068, 12259, 675, 275, 5956, 302, 275, 5765, 19, 592, 526, 3807, 30349, 798, 6571, 440, 19364, 275, 34499, 2796, 6401, 5495, 467, 5329, 2086, 322, 49, 1980, 360, 17, 33296, 789, 1547, 6353, 496, 5602, 1622, 5013, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 775, 2013, 19420, 448, 5956, 572, 618, 3020, 496, 19420, 5398, 353, 273, 798, 302, 24321, 5013, 775, 618, 3020, 1475, 448, 273, 46954, 292, 928, 19420, 353, 275, 24671, 7857, 302, 24321, 44163, 322, 51, 616, 94, 17, 14565, 789, 204, 673, 46947, 302, 275, 41481, 39702, 324, 11090, 19, 21056, 471, 19, 871, 19, 415, 4878, 1537, 19, 204, 8837, 302, 275, 24321, 17, 496, 13605, 275, 37254, 24026, 302, 275, 10832, 311, 275, 8348, 2688, 353, 6158, 322, 49, 1980, 360, 17, 33296, 14, 928, 40506, 3731, 496, 13029, 19, 592, 808, 2501, 4744, 2888, 1378, 541, 6802, 1622, 5013, 578, 311, 17929, 311, 275, 46905, 329, 15241, 341, 578, 6971, 302, 6797, 17, 39789, 437, 8985, 1561, 302, 5956, 329, 958, 928, 572, 2428, 5012, 329, 24321, 3582, 322, 28989, 27151, 17, 17781, 789, 592, 27599, 44896, 6068, 6571, 440, 38750, 6068, 529, 15087, 3610, 440, 19364, 24321, 19, 6263, 275, 33361, 353, 1622, 5013, 2301, 427, 13724, 11977, 329, 30863, 17, 275, 27479, 302, 275, 303, 2083, 329, 4180, 15322, 2428, 18795, 9347, 44163, 322, 49, 1980, 360, 17, 33296, 659, 329, 275, 19364, 1622, 5013, 6600, 880, 275, 24090, 302, 275, 15400, 4751, 275, 6916, 823, 7895, 375, 3582, 204, 4270, 6567, 302, 1393, 19, 21056, 471, 19, 871, 19, 415, 4878, 1537, 19, 204, 38378, 1378, 541, 869, 273, 16147, 8157, 16986, 1622, 5013, 633, 1983, 925, 273, 6323, 12278, 311, 4193, 2828, 44163, 322, 44, 619, 1570, 17, 34623, 14, 928, 292, 1163, 1901, 4802, 5255, 3704, 7341, 353, 275, 12189, 1282, 19, 332, 12189, 1282, 521, 12189, 842, 17, 497, 275, 9464, 283, 3807, 267, 329, 275, 31561, 283, 3807, 84, 353, 2927, 560, 1838, 448, 273, 46946, 3078, 375, 1125, 82, 19, 1346, 292, 47552, 726, 6916, 823, 9824, 560, 678, 18, 11044, 316, 34499, 22554, 329, 12551, 311, 874, 37577, 9350, 329, 40244, 560, 273, 10985, 19, 16585, 5255, 3704, 18395, 1741, 18144, 275, 5247, 302, 34904, 1882, 273, 5287, 9275, 285, 26480, 521, 9275, 1947, 3704, 7341, 19, 16585, 18395, 8405, 1622, 5013, 81, 409, 7105, 311, 16689, 19420, 9046, 4383, 3582, 322, 44, 619, 1570, 17, 34623, 659, 40351, 7223, 618, 444, 43195, 560, 20955, 448, 2942, 40240, 521, 529, 10994, 440, 37667, 10340, 19, 592, 4998, 19631, 17, 1330, 42054, 302, 448, 11518, 521, 1381, 924, 543, 17, 529, 1675, 15582, 19732, 756, 440, 13374, 2483, 19, 1765, 13098, 266, 32047, 1622, 5013, 1947, 7156, 302, 275, 10619, 741, 302, 273, 19420, 44163, 867, 1163, 1622, 5013, 339, 2259, 7159, 311, 24321, 329, 6546, 44163, 322, 4167, 509, 1013, 17, 34148, 789, 204, 3417, 46538, 302, 275, 18878, 302, 6234, 5267, 322, 2132, 3276, 789, 21056, 19, 471, 19, 871, 19, 415, 4878, 1537, 19, 204, 673, 4383, 302, 9728, 22135, 867, 40188, 329, 15582, 19732, 756, 560, 11636, 4757, 17, 691, 555, 640, 17, 34190, 329, 20400, 301, 890, 17, 43653, 496, 34904, 1622, 5013, 15622, 292, 275, 2085, 302, 34499, 3307, 44163, 2767, 509, 1013, 17, 34148, 789, 334, 37348, 2614, 275, 1838, 302, 11192, 867, 1163, 30349, 4781, 17, 1163, 33360, 17, 1163, 11414, 302, 275, 24321, 5956, 19, 14718, 545, 24464, 9271, 275, 5956, 302, 24321, 1869, 496, 1622, 5013, 1947, 34499, 3509, 353, 35167, 4166, 275, 3113, 13029, 1025, 273, 2688, 302, 15931, 44163, 322, 49, 1980, 360, 17, 33296, 789, 4168, 275, 1727, 1283, 26001, 1225, 329, 11192, 48546, 311, 874, 273, 4263, 867, 1330, 1422, 38770, 273, 10007, 302, 34904, 19, 204, 20630, 6237, 3983, 278, 6237, 19, 21056, 471, 19, 871, 19, 415, 4878, 1537, 19, 204, 5039, 2482, 448, 1422, 1236, 13735, 1727, 1283, 11192, 329, 30349, 6158, 17, 521, 19364, 1675, 22175, 1622, 5013, 416, 11192, 10891, 311, 11585, 32, 16922, 483, 272, 867, 27062, 336, 292, 19420, 787, 18395, 17, 329, 275, 19420, 32898, 273, 4650, 360, 578, 17, 7239, 6657, 7159, 311, 275, 22175, 302, 5627, 3582, 322, 4167, 509, 1013, 17, 34148, 789, 334, 23501, 15931, 867, 44507, 560, 1838, 560, 2501, 302, 34499, 45879, 17, 275, 21000, 4432, 7032, 302, 4636, 17, 440, 35198, 1026, 18768, 41745, 560, 9299, 1026, 44434, 19, 18658, 329, 19364, 273, 7122, 22175, 329, 5495, 467, 337, 10985, 1924, 275, 24321, 20738, 2643, 302, 275, 27459, 521, 39823, 17, 8405, 1064, 11965, 336, 1622, 5013, 15742, 329, 24434, 3326, 302, 4153, 21939, 560, 11192, 3582, 322, 4167, 509, 1013, 17, 34148, 789, 204, 673, 39702, 14304, 6237, 328, 322, 2132, 4088, 789, 595, 17, 565, 493, 727, 74, 2854, 19, 204, 25, 273, 19, 23016, 2643, 204, 38, 4414, 17, 497, 275, 9464, 7517, 702, 280, 329, 13533, 4414, 328, 3210, 273, 1574, 521, 1948, 17, 273, 7936, 17, 1943, 521, 3208, 496, 4504, 521, 1197, 4982, 5805, 19, 592, 34904, 8822, 529, 38174, 23843, 657, 496, 3848, 2709, 292, 376, 1312, 347, 19, 3242, 23969, 40814, 34904, 1900, 273, 4362, 2809, 4432, 22000, 285, 298, 17848, 1273, 275, 8037, 302, 275, 1622, 5013, 45016, 19420, 12283, 1722, 9289, 273, 690, 2518, 690, 17, 273, 43565, 2018, 1965, 6763, 337, 2688, 44163, 322, 49, 1980, 360, 17, 33296, 789, 334, 20761, 5268, 302, 1605, 10619, 45376, 353, 273, 2727, 5127, 5566, 1250, 874, 32681, 348, 38026, 1257, 17, 1250, 6678, 496, 273, 1622, 5013, 2301, 427, 9046, 44347, 353, 437, 25773, 302, 8822, 17, 292, 10804, 578, 292, 532, 17, 560, 928, 275, 21940, 302, 448, 42939, 529, 1417, 20639, 329, 22675, 8206, 273, 7253, 322, 32745, 18003, 17, 30330, 303, 789, 204, 13904, 331, 19410, 11421, 311, 48572, 45454, 322, 2132, 8389, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 673, 35006, 22000, 285, 298, 302, 34904, 329, 23969, 40814, 529, 17397, 1588, 292, 8822, 17, 440, 19420, 5701, 1742, 448, 19565, 311, 1622, 5013, 1947, 19416, 18, 427, 18471, 302, 273, 1880, 17, 2842, 448, 275, 19416, 353, 275, 19420, 302, 275, 3509, 3582, 322, 45, 44904, 17, 1433, 7432, 789, 592, 3099, 302, 25523, 22059, 329, 275, 14473, 302, 8822, 448, 273, 9767, 13, 42, 46770, 18, 31011, 1013, 17, 29395, 659, 353, 1622, 5013, 1947, 19420, 302, 4757, 302, 1051, 4539, 2523, 521, 9272, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10627, 523, 275, 26903, 543, 302, 3651, 12278, 329, 275, 3651, 6832, 17, 1017, 570, 348, 4361, 15705, 17, 329, 1017, 4809, 311, 7072, 275, 11556, 302, 24090, 329, 3461, 88, 1017, 18203, 302, 7086, 2318, 1291, 3582, 322, 57, 349, 274, 4878, 17, 26065, 789, 204, 55, 1146, 302, 275, 13556, 31705, 302, 4024, 46945, 453, 354, 322, 1845, 2132, 789, 16367, 12971, 22358, 624, 19, 204, 13127, 311, 1429, 10407, 21557, 17, 1702, 448, 472, 19, 502, 19, 42036, 1375, 322, 2132, 3787, 18, 38134, 14, 34904, 38770, 685, 302, 10033, 40382, 35809, 302, 1622, 5013, 6701, 323, 15300, 302, 4193, 21939, 5013, 976, 448, 18809, 15300, 302, 275, 4163, 302, 24090, 3582, 322, 3047, 14398, 17, 13797, 789, 3355, 17, 7504, 19420, 23084, 3074, 275, 7283, 40066, 302, 17508, 34904, 4414, 2547, 19, 21279, 17, 471, 19, 565, 19, 15256, 6089, 22563, 747, 496, 17, 13431, 275, 18395, 302, 678, 18, 11044, 316, 22554, 1622, 5013, 6701, 2643, 329, 35452, 529, 508, 37254, 17, 1101, 448, 2318, 448, 275, 2641, 11499, 1250, 12091, 44163, 322, 11424, 28099, 3198, 17, 17006, 659, 5862, 348, 471, 24679, 274, 25565, 43862, 275, 1622, 5013, 9319, 302, 34904, 9995, 292, 20761, 2355, 302, 4361, 468, 3379, 3582, 322, 39714, 9327, 17, 34044, 789, 204, 4167, 276, 565, 1192, 299, 275, 17758, 5352, 619, 3983, 28099, 322, 2314, 3276, 789, 552, 19, 48467, 326, 78, 19, 204, 837, 19420, 9046, 7156, 1422, 529, 970, 4802, 7881, 17, 275, 20761, 329, 275, 18809, 19, 5181, 41260, 19420, 448, 275, 20761, 2231, 302, 24321, 18479, 19420, 869, 273, 20761, 13029, 322, 40, 2833, 43862, 17, 32272, 32, 40252, 789, 592, 904, 2159, 19420, 9995, 302, 4361, 13029, 303, 41438, 329, 14906, 19, 8879, 275, 13024, 302, 28313, 2546, 329, 47893, 34904, 529, 508, 2842, 20761, 1101, 1622, 5013, 3337, 302, 273, 2875, 24131, 1554, 39963, 529, 311, 444, 1193, 292, 4153, 10033, 526, 3807, 34904, 928, 7239, 37761, 311, 29648, 440, 848, 3741, 302, 10641, 2652, 5013, 884, 2301, 427, 884, 292, 1163, 12753, 742, 7211, 302, 4362, 43611, 8834, 5371, 884, 5013, 94, 310, 2709, 3324, 292, 4303, 16894, 3582, 322, 11537, 1405, 17, 31516, 789, 204, 673, 970, 34047, 8822, 302, 275, 1659, 1819, 704, 11128, 26352, 39679, 1466, 275, 6747, 329, 275, 13526, 19, 334, 6747, 17, 1683, 275, 4365, 46902, 2368, 302, 275, 13526, 17, 867, 8337, 10038, 311, 275, 13526, 19, 334, 2327, 21551, 302, 717, 17, 3101, 329, 3299, 13526, 17, 4414, 5329, 275, 1659, 364, 302, 275, 801, 391, 1049, 17, 8337, 425, 25352, 17, 25001, 329, 300, 539, 371, 16690, 14304, 17, 329, 4184, 1268, 8508, 389, 322, 11537, 1405, 17, 29395, 789, 204, 673, 12125, 70, 705, 521, 275, 13056, 13056, 472, 675, 19, 39557, 7379, 2032, 19, 204, 25, 308, 19, 14014, 204, 55, 23098, 6296, 34988, 273, 18353, 1561, 302, 8129, 608, 657, 17, 556, 1372, 329, 12843, 928, 1466, 275, 37577, 4781, 302, 30180, 329, 5520, 7908, 44434, 19, 11815, 448, 275, 3633, 1283, 24321, 329, 19420, 353, 15087, 421, 864, 92, 2222, 17, 1675, 754, 353, 275, 1727, 1283, 19420, 329, 11192, 19, 20069, 440, 27135, 13633, 928, 618, 444, 5298, 448, 1622, 5013, 2301, 427, 6531, 292, 275, 4461, 5013, 21733, 444, 273, 14807, 302, 13273, 1873, 19420, 3582, 322, 44, 619, 1570, 17, 41240, 789, 1547, 6353, 497, 808, 496, 1622, 5013, 13054, 34904, 17, 928, 572, 2379, 1698, 448, 34904, 17, 5602, 2080, 1017, 49004, 292, 11192, 5013, 12964, 1250, 1466, 1376, 448, 273, 3210, 302, 15247, 292, 3718, 3780, 928, 1250, 8959, 292, 2836, 298, 1026, 3269, 3582, 322, 18464, 7144, 17, 22265, 789, 204, 39, 1128, 19551, 39067, 16132, 2488, 302, 275, 43498, 88, 302, 33032, 359, 19, 26660, 346, 796, 21703, 322, 1845, 4023, 18, 2314, 1909, 789, 204, 55, 23098, 17, 8405, 34988, 970, 3576, 302, 275, 303, 385, 278, 271, 521, 4362, 3375, 3870, 884, 329, 275, 309, 1160, 865, 521, 4362, 3375, 3252, 884, 322, 45, 6779, 486, 17, 32056, 659, 754, 678, 18, 11044, 316, 1064, 884, 88, 1622, 5013, 1771, 511, 430, 557, 31066, 88, 302, 6797, 1193, 2231, 523, 275, 1051, 1922, 17, 292, 275, 798, 302, 11192, 17, 928, 13335, 448, 437, 5570, 354, 843, 10395, 302, 5627, 11965, 299, 275, 46577, 302, 275, 2318, 10395, 17, 329, 17, 523, 275, 904, 17, 292, 275, 798, 302, 34904, 17, 928, 7988, 448, 9430, 1182, 1194, 275, 16244, 22712, 6423, 311, 275, 37577, 1249, 17, 1101, 7001, 20114, 1025, 273, 468, 2128, 430, 557, 7156, 302, 13029, 3582, 322, 4167, 509, 1013, 17, 34148, 789, 28475, 311, 275, 4383, 302, 19420, 1422, 2080, 1742, 273, 7341, 18, 4995, 11091, 302, 24321, 497, 275, 3277, 311, 275, 3700, 17, 329, 2080, 32759, 302, 275, 16244, 17, 19364, 329, 19778, 322, 2310, 5809, 270, 17, 33847, 659, 440, 275, 1727, 1283, 19420, 329, 24321, 28651, 292, 275, 1622, 5013, 11684, 8615, 11316, 496, 3557, 8095, 6626, 3557, 6126, 44163, 322, 55, 616, 10387, 17, 42007, 789, 204, 57, 4817, 291, 329, 39551, 285, 322, 1794, 5559, 789, 6742, 45070, 565, 19, 4024, 535, 271, 19, 204, 673, 11845, 302, 24321, 11192, 2248, 496, 678, 18, 11044, 316, 12257, 1466, 1622, 5013, 43586, 560, 437, 5255, 3704, 36208, 311, 11426, 299, 2828, 440, 37547, 329, 3461, 88, 3582, 322, 43, 272, 817, 17, 32964, 659, 329, 14450, 5566, 1250, 20176, 292, 37577, 303, 2083, 329, 11845, 19, 1765, 1605, 1880, 11192, 867, 17, 292, 275, 2013, 302, 24677, 25830, 278, 48677, 17, 437, 14840, 17, 329, 678, 18, 47313, 1117, 945, 4699, 17, 16379, 471, 19, 565, 19, 15256, 6089, 6183, 11192, 311, 444, 273, 48203, 1399, 6924, 3659, 329, 2234, 274, 639, 37443, 302, 378, 2243, 19, 334, 5020, 302, 9585, 7144, 21084, 11192, 329, 24321, 1466, 12551, 39256, 560, 13497, 361, 616, 10387, 1415, 8696, 496, 1622, 5013, 22975, 17, 4935, 497, 2545, 19036, 13709, 17, 353, 7051, 355, 4776, 13709, 17, 273, 798, 302, 13709, 17, 496, 353, 311, 4627, 17, 292, 928, 1880, 1307, 523, 13838, 468, 3379, 17, 1101, 874, 32228, 5566, 3582, 322, 55, 616, 10387, 17, 38529, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 789, 1765, 1763, 41438, 292, 10033, 18172, 1466, 14790, 37577, 19, 204, 8757, 365, 419, 70, 322, 2300, 4088, 789, 19585, 295, 565, 12032, 6539, 404, 612, 19, 204, 2021, 28313, 4132, 14473, 3210, 34904, 685, 2391, 1017, 24321, 5329, 44434, 17, 13959, 3548, 496, 275, 31639, 19420, 3192, 275, 27347, 302, 275, 8227, 24321, 19, 48431, 323, 814, 2827, 1178, 1048, 3952, 12789, 38026, 1257, 529, 273, 15621, 302, 1622, 5013, 1947, 10033, 13107, 302, 275, 33012, 448, 273, 37577, 32276, 7784, 311, 3422, 275, 3200, 302, 6797, 869, 1742, 7510, 47445, 38575, 7014, 560, 273, 9205, 1877, 18, 20947, 302, 12092, 329, 19420, 3582, 322, 18464, 7144, 17, 22265, 789, 10910, 311, 471, 19, 565, 19, 15256, 6089, 11192, 3022, 336, 523, 437, 13955, 302, 8660, 5298, 448, 1622, 5013, 36131, 22554, 27864, 311, 21757, 1283, 37254, 6183, 329, 13029, 3582, 322, 11424, 28099, 3198, 17, 17006, 789, 204, 4366, 2706, 84, 41816, 275, 472, 345, 34786, 70, 322, 2132, 7378, 18, 4553, 789, 501, 19, 472, 19, 44148, 19, 204, 673, 17338, 8321, 630, 11192, 20320, 311, 1622, 5013, 48667, 275, 35658, 3461, 88, 329, 37547, 329, 355, 9588, 27510, 560, 32229, 1070, 329, 15582, 19732, 1070, 1475, 44163, 322, 43, 272, 817, 17, 32964, 789, 37876, 273, 23662, 867, 2927, 1283, 275, 2318, 10395, 302, 22175, 329, 275, 5570, 354, 843, 9021, 302, 11192, 3582, 322, 4167, 509, 1013, 17, 34148, 789, 3065, 8344, 37577, 44434, 521, 769, 773, 1320, 7001, 1025, 6403, 468, 3379, 17, 2864, 303, 2083, 329, 24330, 1044, 17, 22383, 348, 13379, 329, 5094, 4625, 302, 24579, 17, 21515, 17, 329, 36311, 19, 5672, 14106, 448, 38928, 329, 35496, 5912, 40814, 41745, 275, 16572, 302, 37577, 41438, 19, 1058, 7514, 275, 741, 329, 8784, 302, 34904, 311, 273, 5092, 1870, 292, 275, 798, 302, 5012, 34904, 322, 45, 6779, 486, 17, 32056, 789, 13842, 6016, 912, 36738, 440, 275, 28621, 1049, 281, 31179, 3450, 302, 12820, 40351, 45372, 76, 7113, 7001, 1025, 275, 1312, 7113, 19, 204, 4536, 302, 2232, 277, 4700, 322, 2132, 8389, 789, 13497, 4024, 535, 271, 19, 204, 55, 23098, 34904, 24903, 292, 275, 31500, 302, 10033, 36825, 19, 4171, 34904, 302, 4744, 9272, 10627, 1466, 1609, 523, 13087, 25773, 17, 16700, 329, 32687, 41438, 33738, 560, 273, 20400, 4925, 19, 334, 5247, 19420, 17, 23979, 1882, 275, 33397, 1516, 2991, 10504, 17, 3556, 448, 275, 5782, 70, 471, 2380, 17, 867, 11025, 2197, 448, 273, 37577, 32276, 322, 45, 6779, 486, 17, 32056, 789, 27747, 9712, 1622, 5013, 28045, 17870, 830, 904, 4840, 302, 4968, 329, 6555, 3307, 329, 4193, 21939, 311, 874, 42771, 329, 6323, 1291, 4440, 3582, 322, 43, 272, 817, 17, 32964, 659, 273, 8407, 1273, 275, 13555, 867, 3667, 27401, 348, 4315, 275, 1324, 322, 44, 619, 1570, 17, 41240, 789, 334, 24321, 25146, 10627, 3952, 11298, 2222, 292, 1622, 5013, 1947, 3269, 302, 526, 3807, 19420, 790, 292, 275, 26100, 329, 18342, 6017, 867, 273, 37577, 3269, 2722, 719, 440, 7458, 10641, 44434, 292, 37924, 302, 275, 18295, 18, 76, 478, 29617, 521, 502, 598, 17, 1429, 302, 1475, 22722, 497, 275, 13448, 25428, 13995, 44163, 322, 11537, 1405, 17, 31516, 789, 204, 42, 612, 48017, 292, 275, 17078, 26016, 322, 2132, 4088, 789, 13497, 4024, 535, 271, 19, 204, 7061, 427, 17, 27694, 560, 37577, 11845, 329, 18395, 17, 1273, 275, 37577, 19615, 529, 19778, 6539, 322, 4167, 509, 1013, 17, 34148, 659, 34988, 20901, 329, 6158, 292, 21000, 4432, 794, 4085, 496, 1683, 6406, 13697, 273, 23501, 15931, 322, 49, 1980, 360, 17, 33296, 789, 6194, 292, 1605, 17606, 867, 1425, 19778, 6539, 40351, 9712, 12551, 6797, 2549, 444, 857, 39582, 560, 11192, 17, 43653, 11192, 29503, 292, 4636, 11845, 19, 334, 6456, 1519, 348, 275, 23501, 15931, 867, 275, 1519, 348, 273, 2407, 336, 329, 44507, 958, 311, 19428, 17, 283, 8918, 17, 8341, 7160, 17, 329, 4193, 3780, 1702, 448, 33498, 17, 36324, 17, 29928, 329, 8434, 19, 204, 25, 279, 19, 29477, 13480, 623, 204, 56, 638, 13480, 623, 17, 3855, 6555, 521, 3651, 17, 8033, 12787, 329, 24157, 41438, 3610, 440, 5251, 329, 5741, 19, 361, 3379, 302, 4362, 671, 749, 884, 11939, 5520, 7908, 17, 17240, 17, 21515, 17, 36311, 17, 329, 2991, 10504, 21905, 6624, 17, 1466, 1085, 302, 275, 19420, 323, 12337, 302, 275, 27208, 329, 18348, 13555, 322, 2310, 5809, 270, 17, 33847, 789, 334, 12337, 302, 4362, 1062, 1026, 29104, 884, 867, 32931, 560, 34904, 1465, 26582, 11057, 6738, 5741, 6609, 275, 6456, 13029, 19, 334, 27208, 13555, 12337, 14988, 11584, 273, 19420, 302, 47776, 17, 302, 5741, 329, 304, 8521, 329, 1466, 2323, 22712, 24304, 292, 21156, 9644, 19, 41618, 344, 329, 30180, 41438, 1466, 437, 3287, 2648, 302, 275, 9618, 1464, 21633, 569, 322, 11424, 28099, 3198, 17, 17006, 789, 204, 38, 20400, 1055, 302, 16956, 7430, 322, 2132, 8389, 789, 6901, 2656, 4576, 19, 204, 19281, 983, 353, 1945, 1330, 8442, 13312, 496, 1910, 9712, 1466, 12370, 29669, 336, 292, 10407, 2666, 322, 31011, 1013, 17, 32056, 659, 8337, 275, 6296, 302, 3651, 29104, 4751, 4744, 33773, 353, 41106, 756, 329, 20847, 311, 6555, 21993, 17, 19625, 318, 75, 601, 543, 17, 521, 275, 20761, 18711, 521, 308, 3935, 299, 302, 273, 23969, 726, 19, 592, 8152, 311, 24321, 29104, 275, 726, 302, 275, 29104, 1622, 5013, 360, 311, 636, 3326, 302, 275, 4835, 2688, 2317, 508, 22888, 1101, 17962, 3326, 44163, 322, 45, 912, 514, 17, 45114, 789, 2266, 20761, 521, 2318, 3651, 29104, 867, 273, 2648, 302, 1901, 1722, 18, 6950, 37793, 32313, 1273, 275, 19420, 14450, 275, 24321, 329, 1622, 5013, 360, 630, 275, 1729, 690, 17, 292, 1085, 630, 3406, 17, 275, 11414, 302, 275, 13555, 19, 2416, 19036, 23580, 490, 353, 302, 1702, 40164, 9341, 8622, 311, 636, 275, 24321, 6488, 1629, 44163, 322, 4167, 509, 1013, 17, 35383, 789, 204, 673, 387, 1851, 853, 329, 548, 447, 6731, 322, 2132, 4462, 789, 12247, 471, 10240, 19, 204, 673, 5576, 329, 11091, 302, 3651, 29104, 7117, 2481, 292, 3420, 21551, 322, 55, 616, 10387, 17, 42007, 789, 6867, 447, 17, 275, 26582, 9866, 867, 12370, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29669, 336, 16321, 32, 1350, 447, 273, 8776, 9866, 867, 1675, 16321, 12370, 29669, 336, 32, 4986, 447, 273, 3651, 867, 12370, 29669, 336, 292, 2666, 302, 4361, 7443, 521, 275, 29104, 867, 19429, 32, 6666, 630, 275, 12044, 6771, 275, 20746, 867, 6202, 3651, 1101, 867, 468, 286, 3475, 9750, 448, 7239, 490, 5602, 867, 19, 10910, 311, 9585, 7144, 292, 334, 25119, 565, 2460, 275, 4217, 29104, 302, 275, 9866, 867, 273, 6837, 4781, 17, 490, 2545, 14534, 292, 19420, 329, 27135, 530, 280, 496, 4744, 30429, 1466, 12370, 29669, 336, 22159, 322, 39, 39090, 17, 45499, 789, 204, 673, 5608, 29617, 26032, 84, 19, 8338, 4244, 293, 270, 19, 204, 673, 13555, 31715, 329, 1675, 7336, 1818, 311, 275, 2688, 302, 275, 7497, 17, 8405, 1622, 5013, 46401, 41438, 4414, 594, 275, 15690, 497, 5741, 311, 3307, 32, 497, 1051, 2501, 302, 3307, 311, 3161, 32, 5013, 25410, 529, 275, 2641, 3210, 302, 27119, 275, 2652, 2953, 32, 1250, 2434, 275, 7978, 560, 928, 1924, 275, 6332, 302, 18496, 17, 47480, 17, 329, 275, 407, 523, 273, 5092, 1870, 2317, 1855, 275, 3509, 329, 275, 5698, 529, 44706, 1017, 22567, 1048, 275, 6971, 302, 38765, 928, 529, 22547, 12527, 1683, 3326, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 204, 56, 364, 15854, 292, 275, 10748, 19438, 322, 2132, 6537, 789, 382, 471, 19, 3229, 266, 19, 204, 3417, 9105, 323, 15747, 9644, 48669, 24321, 12370, 391, 25335, 24330, 1044, 302, 273, 13555, 6999, 11057, 1702, 448, 415, 2109, 302, 9340, 17, 275, 628, 34825, 2232, 2881, 70, 17, 275, 15577, 277, 1358, 26492, 17, 329, 275, 5936, 302, 24596, 19, 334, 27208, 329, 304, 17184, 13555, 353, 2323, 292, 275, 34904, 302, 275, 10033, 33978, 8934, 17, 275, 24321, 3758, 302, 928, 529, 630, 3406, 29077, 2181, 3299, 322, 2310, 5809, 270, 17, 33847, 659, 8337, 275, 26104, 27238, 14582, 17, 275, 33397, 1516, 30536, 7311, 95, 17, 3839, 271, 360, 329, 412, 288, 1286, 865, 302, 24412, 17, 329, 11297, 302, 20694, 879, 427, 17, 8337, 1622, 5013, 17504, 329, 3651, 29104, 2549, 874, 10641, 13107, 6043, 311, 275, 3773, 302, 273, 4362, 12594, 3216, 269, 884, 12370, 29669, 336, 311, 2893, 1204, 275, 5698, 44163, 322, 11424, 28099, 3198, 17, 17006, 789, 334, 33361, 302, 10641, 24321, 867, 311, 7940, 273, 753, 453, 372, 1283, 1064, 329, 275, 26582, 19, 502, 470, 34568, 808, 867, 42696, 560, 275, 304, 18, 278, 773, 430, 302, 1622, 5013, 1947, 6332, 302, 6797, 1101, 1102, 8600, 3153, 6332, 560, 27119, 40703, 1924, 29104, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 204, 38, 6720, 365, 359, 322, 1794, 3222, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 673, 45376, 302, 18723, 41343, 5862, 874, 685, 2391, 336, 275, 2171, 4725, 70, 323, 13709, 302, 928, 490, 867, 5602, 273, 1085, 322, 3047, 14398, 17, 13797, 659, 329, 1182, 2953, 18723, 21557, 1236, 6397, 33577, 1622, 5013, 12964, 1410, 26965, 2080, 273, 5568, 302, 10641, 4699, 17, 5862, 23506, 32, 801, 391, 1049, 281, 32, 17181, 11396, 323, 32, 13650, 32, 556, 2227, 323, 32, 437, 1049, 323, 32, 1609, 523, 10641, 13562, 1702, 448, 24321, 303, 2083, 17, 329, 24330, 1044, 17, 6216, 1194, 523, 10641, 6121, 17, 275, 1142, 302, 13555, 3582, 322, 11424, 28099, 3198, 17, 17006, 789, 1765, 1763, 275, 31000, 302, 36556, 41343, 869, 1742, 1622, 5013, 88, 8326, 336, 560, 275, 4789, 18, 1637, 37793, 9920, 302, 275, 13709, 302, 928, 490, 6786, 273, 1085, 3582, 322, 3047, 14398, 17, 13797, 789, 204, 19419, 336, 281, 354, 329, 382, 5365, 354, 322, 2132, 9579, 789, 13497, 4024, 535, 271, 19, 204, 673, 19420, 329, 24321, 302, 275, 12370, 391, 25335, 27208, 329, 304, 17184, 13555, 3210, 275, 26582, 9866, 867, 12657, 22159, 329, 33582, 966, 336, 292, 275, 1874, 302, 1704, 19069, 17, 1101, 928, 5287, 867, 5846, 1025, 437, 1622, 5013, 25476, 20761, 5741, 329, 273, 20761, 304, 8521, 521, 47776, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 334, 7978, 302, 275, 8213, 29104, 302, 275, 26582, 9866, 311, 273, 20761, 24321, 329, 38269, 19420, 521, 5765, 10846, 34904, 529, 1622, 5013, 2024, 37090, 45376, 496, 40164, 275, 15520, 302, 2323, 4699, 329, 496, 8314, 1169, 800, 8908, 884, 88, 18809, 329, 5713, 19800, 5384, 302, 4109, 12759, 302, 13029, 3582, 322, 49, 13495, 17, 12758, 789, 3242, 275, 19420, 353, 275, 11414, 302, 275, 24321, 1675, 17, 440, 8152, 311, 10033, 12509, 41343, 1622, 5013, 17745, 275, 5134, 363, 4913, 329, 2232, 45454, 34904, 10649, 437, 11750, 24321, 2679, 302, 3651, 29104, 17, 329, 3074, 451, 1818, 311, 297, 7341, 292, 928, 275, 19420, 329, 24321, 1466, 26448, 3582, 322, 45, 6779, 486, 17, 42417, 789, 204, 673, 472, 879, 9439, 302, 22874, 13384, 354, 329, 471, 2348, 290, 360, 19, 871, 19, 480, 19, 12563, 19, 204, 673, 27208, 9866, 329, 27208, 13555, 34904, 529, 978, 900, 2553, 440, 275, 34904, 329, 41438, 302, 26582, 9866, 6265, 928, 618, 444, 19840, 292, 275, 2631, 570, 322, 2310, 5809, 270, 17, 33847, 330, 8337, 322, 22, 14, 275, 3600, 4263, 302, 275, 26582, 9866, 32, 1675, 322, 23, 14, 275, 19041, 1283, 275, 13555, 329, 1704, 22714, 32, 322, 24, 14, 275, 16688, 302, 275, 13555, 32, 1675, 322, 25, 14, 275, 5741, 302, 275, 13555, 32, 8367, 560, 322, 26, 14, 275, 47776, 302, 275, 13555, 32, 1675, 322, 27, 14, 275, 20761, 769, 773, 430, 302, 275, 19420, 302, 5247, 32, 322, 28, 14, 275, 23969, 17240, 32, 1675, 331, 322, 29, 14, 275, 1659, 1411, 16442, 1352, 288, 32, 329, 322, 1233, 14, 275, 10358, 2772, 302, 2984, 266, 543, 19, 8624, 8129, 29658, 302, 29104, 292, 19420, 329, 5765, 770, 508, 13765, 5576, 316, 292, 10407, 3651, 29104, 2219, 7239, 1622, 5013, 15635, 29104, 34260, 6644, 292, 12509, 34904, 490, 6965, 311, 874, 1742, 12549, 10690, 4751, 275, 10033, 31991, 7105, 3582, 322, 31011, 1013, 17, 32056, 789, 204, 39597, 8449, 24785, 3642, 19, 471, 2708, 4902, 530, 21056, 21703, 19, 204, 25, 303, 19, 334, 11128, 26352, 204, 2021, 7866, 6017, 2080, 1236, 24090, 17, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 6916, 823, 9824, 292, 1910, 12759, 17, 329, 3556, 560, 37461, 1987, 17, 275, 11128, 5608, 29617, 1415, 1622, 5013, 17477, 21899, 448, 45374, 281, 17, 2652, 3275, 17, 329, 43221, 579, 272, 767, 32, 329, 275, 3773, 302, 9217, 18, 1633, 2080, 508, 1742, 12009, 1025, 10641, 6183, 3582, 322, 11537, 1405, 17, 29395, 789, 6234, 867, 15582, 19732, 756, 292, 12787, 41438, 17, 329, 34904, 496, 2080, 437, 22249, 329, 10652, 526, 3807, 5268, 45247, 1622, 5013, 1947, 16147, 8453, 17, 11512, 1023, 302, 830, 275, 1842, 17, 13304, 454, 464, 1656, 302, 690, 17, 40232, 302, 830, 5337, 17962, 17, 19536, 302, 275, 8227, 17, 19536, 1425, 302, 275, 45374, 1493, 17, 275, 2875, 11821, 344, 302, 830, 24090, 329, 13555, 3435, 890, 496, 529, 3582, 322, 40, 363, 476, 1128, 17, 26763, 789, 204, 48076, 1257, 19, 20544, 633, 13100, 15508, 19, 204, 673, 11128, 26352, 4368, 353, 1193, 292, 273, 1622, 5013, 38590, 542, 302, 18691, 17, 6469, 4751, 3153, 22554, 1415, 3756, 5148, 4598, 292, 273, 1502, 860, 3083, 311, 4757, 1001, 322, 4872, 2005, 295, 17, 29395, 789, 27747, 13709, 329, 41343, 23104, 591, 292, 275, 1622, 5013, 2663, 294, 17873, 302, 273, 6890, 41570, 18, 37553, 27642, 13709, 44163, 496, 318, 618, 2590, 1622, 5013, 2400, 448, 273, 2342, 302, 275, 40241, 5926, 302, 19420, 3582, 322, 40, 363, 476, 1128, 17, 26763, 789, 4171, 11057, 529, 275, 2171, 2139, 302, 275, 11128, 26352, 5012, 6738, 3272, 869, 1742, 1193, 497, 45130, 1257, 311, 275, 2802, 42732, 301, 17, 329, 13713, 302, 1605, 1622, 5013, 525, 274, 5469, 302, 275, 11128, 26352, 5012, 353, 1017, 754, 18, 10277, 41106, 756, 28552, 466, 6820, 422, 780, 301, 31, 3403, 284, 409, 30982, 12112, 88, 17, 9055, 373, 4110, 17, 17828, 570, 1153, 36708, 20605, 17, 329, 426, 997, 2559, 1101, 633, 8099, 3582, 322, 2310, 5809, 270, 17, 33847, 789, 204, 46049, 354, 302, 18875, 12734, 75, 19, 22558, 17265, 6237, 37793, 9161, 90, 15036, 19, 204, 673, 11128, 26352, 5608, 29617, 867, 10994, 88, 440, 3731, 292, 4968, 329, 6555, 3307, 17, 440, 275, 1324, 302, 26352, 6138, 4145, 440, 308, 29538, 329, 8417, 17, 35986, 8367, 560, 12466, 329, 523, 311, 5111, 299, 4184, 1268, 2292, 19, 6263, 275, 26352, 5608, 29617, 867, 23543, 448, 437, 21963, 2076, 27141, 1659, 364, 302, 31, 322, 22, 14, 275, 425, 25352, 302, 275, 3482, 3585, 32, 322, 23, 14, 273, 16690, 14304, 302, 275, 7625, 329, 8469, 32, 329, 322, 24, 14, 437, 21656, 1683, 6715, 8508, 389, 302, 373, 616, 19, 592, 4725, 70, 323, 19420, 275, 11128, 26352, 5608, 29617, 2048, 292, 1182, 34904, 329, 41438, 496, 1169, 904, 31681, 3625, 47273, 17, 1273, 2268, 353, 1622, 5013, 1947, 26352, 17, 275, 6138, 17, 275, 4414, 302, 30180, 17, 6916, 823, 9824, 830, 1048, 275, 10033, 8934, 292, 275, 1910, 9911, 355, 1291, 302, 8971, 5013, 1947, 30180, 13555, 3435, 890, 302, 275, 18358, 26100, 17, 275, 3844, 569, 30564, 11063, 2115, 280, 17, 332, 12113, 356, 17, 332, 696, 21897, 704, 17, 501, 6237, 70, 17, 1998, 9645, 44163, 322, 49, 1980, 360, 17, 33296, 789, 204, 47, 271, 3901, 329, 275, 3627, 1887, 322, 1845, 3699, 789, 8149, 2972, 14431, 16205, 19, 204, 6350, 34904, 529, 678, 18, 26894, 440, 275, 15042, 516, 302, 4193, 329, 22939, 3731, 17, 329, 12083, 302, 275, 1622, 5013, 10381, 10154, 344, 302, 2344, 329, 8546, 329, 302, 11660, 329, 10865, 3582, 322, 44, 619, 1570, 17, 34623, 789, 33500, 329, 10865, 1170, 274, 1044, 1466, 24321, 5329, 440, 275, 6747, 329, 13526, 21963, 2076, 15909, 5329, 448, 34047, 8546, 447, 11834, 35586, 17, 448, 2590, 448, 8213, 5741, 329, 33582, 28693, 19, 334, 13526, 8405, 867, 1051, 302, 275, 13555, 3435, 890, 302, 34047, 49051, 19, 334, 2327, 21551, 302, 275, 13526, 448, 717, 17, 3101, 329, 3299, 17, 1466, 8699, 292, 19420, 323, 3099, 448, 275, 2327, 21551, 302, 275, 801, 391, 1049, 19, 592, 904, 2159, 17, 425, 25352, 17, 25001, 329, 21656, 10506, 4925, 19, 334, 8213, 9001, 3200, 4414, 5329, 275, 10462, 329, 16941, 302, 275, 6015, 9350, 302, 275, 11128, 5608, 29617, 19, 592, 22939, 30939, 1422, 867, 275, 22336, 425, 25352, 17, 33162, 521, 300, 539, 371, 10506, 17, 329, 275, 33500, 8508, 389, 19, 204, 8872, 302, 23415, 1025, 33397, 322, 1845, 2562, 789, 15584, 604, 41431, 19, 204, 837, 4725, 70, 323, 19420, 329, 8993, 275, 21551, 302, 275, 13526, 1422, 867, 437, 45429, 1727, 2927, 440, 5251, 329, 5815, 302, 6415, 329, 7160, 17, 440, 275, 6747, 329, 13526, 1622, 5013, 495, 2975, 88, 292, 1910, 19420, 30432, 17, 275, 6747, 2545, 5971, 10557, 329, 275, 13526, 9911, 44163, 322, 44, 619, 1570, 17, 34623, 789, 334, 8213, 9001, 3200, 353, 43880, 292, 275, 10462, 329, 16941, 302, 275, 39679, 884, 88, 6015, 9350, 292, 2830, 22939, 11793, 302, 425, 25352, 16690, 14304, 329, 8508, 389, 322, 11537, 1405, 17, 29395, 659, 329, 1763, 353, 25308, 5298, 292, 275, 26352, 5608, 29617, 302, 39355, 32873, 8349, 1415, 867, 275, 1622, 5013, 39214, 302, 273, 10652, 801, 391, 43398, 4816, 7122, 1048, 560, 275, 4368, 302, 273, 5348, 12112, 336, 17, 48162, 18, 427, 39859, 8453, 39679, 44163, 322, 28989, 27151, 17, 17781, 789, 21279, 17, 275, 41438, 329, 11556, 4851, 440, 1605, 22939, 44434, 17, 12311, 311, 19036, 13709, 17, 1173, 275, 5741, 329, 17350, 17, 1675, 49111, 521, 47776, 1622, 5013, 522, 1429, 1874, 521, 11518, 523, 6738, 3307, 329, 23844, 580, 275, 5815, 329, 30180, 302, 14822, 329, 7223, 17, 329, 904, 24181, 529, 12551, 311, 444, 10742, 3582, 322, 44, 619, 1570, 17, 34623, 789, 204, 41, 20043, 329, 5102, 6237, 271, 322, 1909, 7525, 18, 9032, 789, 313, 286, 1516, 19, 204, 5653, 3475, 275, 5384, 302, 275, 1727, 1283, 401, 639, 329, 1656, 8521, 867, 36609, 329, 29000, 19, 1058, 15726, 917, 292, 10641, 11132, 7168, 311, 10557, 1714, 2931, 292, 10641, 27088, 17, 329, 275, 19776, 302, 28621, 1049, 281, 11947, 13626, 496, 1622, 5013, 1947, 40320, 302, 275, 19420, 323, 9911, 36774, 3813, 311, 4362, 73, 38935, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 329, 3315, 17440, 16149, 2129, 884, 14043, 1153, 275, 18113, 302, 10641, 2745, 10548, 2643, 448, 8286, 292, 24321, 311, 273, 10546, 21963, 2076, 27141, 37418, 496, 13335, 28621, 1049, 281, 7546, 10045, 3582, 322, 11424, 28099, 3198, 17, 17006, 789, 204, 41, 2351, 12981, 275, 25119, 29473, 322, 1909, 9287, 789, 313, 286, 1516, 19, 204, 837, 275, 1433, 427, 6129, 490, 867, 1722, 6839, 496, 11132, 867, 508, 6837, 311, 4725, 70, 323, 13709, 1101, 867, 273, 4781, 302, 7504, 13709, 19, 12867, 311, 10033, 13709, 867, 24321, 496, 867, 8942, 348, 273, 5127, 17, 273, 8784, 19, 6263, 19420, 867, 273, 10038, 7857, 2404, 1622, 5013, 1947, 19420, 353, 20251, 329, 11414, 302, 273, 10641, 752, 44163, 322, 3047, 14398, 17, 13797, 789, 592, 904, 2159, 275, 4408, 4263, 302, 19420, 292, 13709, 353, 496, 302, 275, 18915, 1103, 496, 37779, 675, 440, 275, 8942, 24321, 19, 6263, 10641, 24321, 15261, 275, 1622, 5013, 2301, 427, 787, 752, 353, 11188, 440, 273, 38174, 13704, 5013, 1819, 302, 273, 6323, 45810, 329, 17077, 302, 273, 4362, 4167, 493, 884, 3582, 322, 49, 1980, 360, 17, 33296, 789, 204, 673, 24884, 302, 34037, 322, 2132, 9162, 789, 332, 19, 29974, 15381, 19, 204, 8390, 21557, 2136, 496, 17, 560, 22896, 329, 13838, 34904, 275, 22554, 302, 678, 18, 11044, 316, 23553, 407, 17, 560, 370, 18, 18861, 430, 311, 14392, 3633, 311, 273, 3090, 19420, 787, 2523, 19, 1547, 869, 1742, 19925, 496, 1422, 529, 970, 1792, 8599, 302, 41343, 19, 6867, 447, 273, 41343, 302, 28978, 4369, 329, 17962, 3836, 516, 17, 329, 1350, 447, 273, 41343, 15502, 440, 4539, 23553, 322, 32745, 18003, 17, 26065, 789, 48431, 6531, 353, 978, 6712, 1153, 440, 13709, 19, 37767, 1026, 13709, 329, 41343, 11585, 1273, 34904, 529, 15502, 440, 275, 5251, 329, 6797, 302, 275, 24090, 329, 275, 5247, 302, 275, 2688, 322, 8273, 652, 17, 19772, 789, 204, 673, 9992, 39679, 2541, 19910, 521, 1144, 10713, 19, 204, 7061, 427, 6531, 353, 978, 6712, 1153, 440, 13709, 19, 37767, 1026, 13709, 329, 41343, 11585, 1273, 34904, 529, 15502, 440, 275, 5251, 329, 6797, 302, 275, 355, 1291, 329, 275, 5247, 302, 275, 2688, 322, 8273, 652, 17, 19772, 789, 471, 19, 565, 19, 15256, 6089, 17, 4024, 18401, 18, 39, 1771, 26778, 329, 21056, 12424, 9585, 7144, 21899, 19420, 448, 273, 4781, 302, 13709, 17, 440, 348, 9585, 7144, 1622, 5013, 2301, 427, 353, 1085, 302, 19036, 13709, 17, 19036, 13709, 353, 1085, 302, 17696, 17, 5398, 16147, 32, 329, 19036, 13709, 353, 275, 49004, 311, 4193, 6218, 44163, 322, 3047, 14398, 17, 13797, 789, 6263, 17, 440, 8152, 311, 275, 3633, 1283, 24321, 7156, 329, 11132, 17, 490, 618, 444, 5298, 496, 24321, 6709, 529, 1085, 302, 28840, 13709, 322, 45, 44904, 17, 34148, 789, 204, 7753, 890, 440, 275, 22584, 8476, 1320, 19, 2649, 13461, 89, 19, 204, 11589, 352, 288, 353, 292, 7159, 311, 37418, 329, 19420, 1622, 5013, 1947, 6639, 18108, 311, 444, 292, 275, 1629, 7159, 311, 275, 2347, 11821, 299, 5398, 292, 275, 13346, 3582, 322, 43, 441, 1375, 17, 41240, 789, 471, 19, 565, 19, 15256, 6089, 4310, 13709, 448, 273, 11132, 292, 17962, 20955, 17, 292, 4998, 311, 928, 13709, 867, 1425, 1622, 5013, 70, 15582, 286, 7908, 521, 6637, 19189, 302, 2347, 21032, 311, 1064, 3582, 322, 18464, 7144, 17, 41240, 659, 39104, 49063, 24321, 329, 867, 275, 3422, 23781, 292, 19036, 13709, 322, 41040, 1013, 18, 34494, 17, 1916, 7946, 659, 8337, 19420, 329, 7781, 365, 1466, 10038, 311, 13709, 17, 8337, 1622, 5013, 2301, 427, 6531, 867, 1236, 6456, 1085, 302, 6456, 13709, 17, 348, 490, 2080, 1236, 23969, 11994, 380, 329, 1236, 18394, 2955, 523, 6916, 823, 7895, 375, 3582, 322, 44, 509, 293, 17, 44223, 789, 204, 6091, 285, 70, 322, 2132, 8867, 789, 45365, 3642, 1998, 16650, 295, 1077, 19, 204, 7061, 14106, 16979, 292, 273, 8372, 302, 4840, 496, 1741, 5438, 311, 32277, 11616, 880, 11915, 292, 297, 38282, 17, 4892, 1154, 329, 2893, 20784, 17, 928, 874, 1742, 444, 518, 269, 1588, 1622, 5013, 30585, 23960, 17, 448, 23969, 45376, 3610, 440, 37418, 17, 329, 24321, 17, 521, 292, 437, 25338, 798, 17, 448, 8916, 869, 8287, 3754, 440, 31086, 23969, 3780, 44163, 322, 40, 363, 476, 1128, 17, 10599, 789, 5672, 14106, 292, 808, 2085, 529, 5594, 1622, 5013, 522, 10033, 10641, 33012, 521, 3780, 44163, 322, 11537, 1405, 17, 29395, 14, 329, 29909, 275, 8784, 302, 19420, 311, 8335, 1662, 275, 13346, 329, 4193, 2688, 6900, 1025, 12278, 19, 592, 1552, 311, 22680, 594, 437, 4449, 24454, 275, 741, 302, 19420, 353, 311, 1308, 1622, 5013, 3643, 281, 612, 627, 678, 4618, 698, 348, 6296, 329, 11523, 17, 329, 311, 2481, 523, 437, 794, 2833, 2271, 15363, 275, 4303, 5035, 302, 7575, 17, 9293, 15705, 329, 10641, 11132, 3582, 322, 37507, 17, 34148, 789, 204, 33864, 286, 319, 12254, 8449, 24785, 3642, 19, 650, 321, 95, 936, 45770, 34855, 16024, 19, 204, 26, 273, 19, 17003, 703, 76, 7113, 204, 5842, 741, 302, 41343, 353, 311, 1308, 273, 3615, 31467, 17, 521, 437, 752, 302, 275, 13346, 292, 1163, 273, 775, 329, 27642, 17, 496, 353, 13068, 1313, 311, 678, 11044, 316, 22554, 322, 32745, 18003, 17, 21809, 308, 789, 334, 3018, 45372, 76, 7113, 521, 45372, 38941, 353, 10819, 497, 275, 12509, 45372, 76, 15920, 497, 724, 865, 18090, 329, 357, 15920, 322, 42180, 5268, 5251, 659, 329, 12052, 275, 1561, 521, 7156, 302, 275, 5247, 302, 275, 13346, 19, 17003, 703, 4132, 34904, 529, 15502, 440, 275, 5576, 329, 5247, 302, 275, 13346, 17, 329, 2248, 496, 45372, 76, 7113, 353, 1051, 302, 275, 4376, 6332, 292, 19420, 19, 592, 275, 1729, 11621, 3161, 4408, 1352, 353, 496, 302, 275, 1312, 7113, 19, 204, 38, 3642, 402, 14130, 301, 313, 6272, 322, 1909, 4957, 789, 472, 15973, 8493, 9612, 912, 1697, 19, 204, 7061, 14106, 302, 273, 45372, 4132, 6797, 5971, 4609, 5247, 311, 275, 5107, 311, 273, 40241, 47273, 521, 273, 284, 608, 267, 271, 302, 273, 31681, 3625, 1943, 17, 329, 292, 754, 8205, 1622, 5013, 71, 3548, 1381, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12474, 1025, 275, 4840, 329, 3397, 7597, 45510, 26023, 6982, 275, 6797, 302, 12278, 17, 275, 2688, 1048, 928, 275, 24090, 4090, 3582, 322, 40, 363, 476, 1128, 17, 11347, 789, 334, 2323, 3532, 302, 45372, 76, 7113, 353, 496, 275, 3615, 18090, 329, 275, 2688, 867, 1966, 685, 302, 13304, 454, 464, 38765, 19, 39104, 448, 5255, 2643, 12551, 292, 3772, 2420, 281, 37547, 1702, 448, 4362, 7368, 1064, 17848, 4362, 34234, 10506, 17848, 4362, 929, 1064, 302, 275, 19232, 17848, 329, 4362, 272, 266, 38035, 1656, 17848, 5850, 19036, 22554, 1622, 5013, 7605, 311, 830, 6797, 17, 10350, 928, 2560, 292, 273, 6015, 1259, 17, 273, 31681, 3625, 6572, 496, 353, 7921, 3113, 1101, 794, 17375, 17, 12209, 7014, 521, 3626, 7098, 560, 275, 4338, 9350, 8210, 6982, 4153, 7330, 302, 275, 27459, 17, 275, 691, 555, 640, 521, 26668, 6399, 3582, 322, 47, 21527, 17, 21078, 789, 204, 7002, 2618, 1805, 322, 2132, 9579, 789, 501, 707, 913, 412, 573, 19, 204, 27622, 703, 4132, 34904, 292, 1901, 2910, 6548, 273, 19431, 3704, 22539, 17, 3667, 46314, 448, 44402, 17, 1273, 1622, 5013, 15139, 10176, 6971, 329, 275, 17169, 329, 9422, 1283, 3094, 329, 20190, 17, 3702, 329, 9373, 17, 521, 24021, 329, 7625, 1047, 1001, 322, 4872, 2005, 295, 17, 29395, 14, 1336, 19, 592, 4853, 37793, 3099, 275, 6296, 302, 556, 10948, 19420, 292, 24321, 3906, 1153, 275, 23501, 7214, 440, 275, 722, 496, 1622, 5013, 1947, 2318, 726, 6401, 437, 35198, 1026, 726, 32, 275, 6824, 311, 444, 304, 10578, 292, 5094, 353, 4414, 2547, 304, 10578, 3303, 44163, 322, 49, 1980, 360, 17, 33296, 789, 7074, 291, 329, 34499, 23501, 45879, 329, 21905, 6624, 1466, 13090, 1048, 2817, 329, 690, 8206, 437, 8985, 928, 1622, 5013, 2184, 14414, 1064, 523, 311, 275, 22175, 3600, 348, 1163, 15984, 18073, 292, 13029, 3582, 322, 49, 1980, 360, 17, 33296, 789, 204, 837, 19420, 275, 9866, 867, 7540, 560, 275, 24090, 43653, 496, 9866, 6265, 867, 2312, 1873, 497, 24021, 19, 8624, 34904, 529, 3667, 309, 817, 2351, 329, 529, 15502, 440, 3651, 20111, 496, 6509, 26582, 24557, 17, 16379, 45372, 4132, 34904, 529, 15502, 440, 4376, 3780, 1702, 448, 275, 5247, 521, 19643, 302, 275, 3615, 18090, 521, 33773, 1047, 43730, 3483, 275, 23516, 34591, 867, 801, 87, 31882, 281, 16379, 275, 7842, 337, 521, 23969, 9866, 867, 4501, 437, 685, 7478, 17, 8348, 311, 275, 23516, 801, 391, 1049, 281, 4554, 322, 11537, 1405, 17, 29395, 789, 592, 10033, 24412, 1882, 275, 2989, 427, 6129, 10355, 275, 332, 1118, 291, 17016, 1178, 1683, 885, 336, 801, 87, 22648, 516, 19, 5424, 275, 382, 36990, 17016, 1178, 630, 275, 1136, 302, 275, 435, 307, 38026, 2915, 275, 9866, 6265, 6802, 3098, 87, 31882, 281, 19, 204, 40, 280, 760, 37664, 19, 2695, 3512, 360, 1257, 45770, 34855, 16024, 19, 204, 26, 308, 19, 334, 1312, 7113, 204, 673, 3018, 275, 1312, 7113, 353, 275, 28390, 302, 275, 5576, 302, 275, 24090, 329, 13555, 3435, 890, 19, 334, 7156, 618, 444, 5298, 292, 275, 8964, 1239, 9046, 8452, 302, 19420, 5576, 1273, 275, 29451, 13555, 292, 2589, 284, 608, 267, 271, 353, 273, 13993, 13555, 322, 43, 272, 817, 17, 32964, 789, 9496, 19420, 30432, 874, 11556, 302, 275, 5576, 302, 275, 24090, 928, 10600, 437, 11132, 292, 273, 690, 2904, 28990, 464, 1330, 1250, 3756, 508, 1337, 19, 6263, 11556, 529, 3232, 448, 311, 1017, 5251, 329, 4316, 11947, 17, 329, 1425, 448, 19420, 9046, 9873, 5298, 292, 1983, 10176, 329, 40110, 4840, 19, 4171, 10407, 24090, 3667, 22818, 5680, 21169, 292, 19420, 17, 1466, 5298, 8489, 292, 275, 10003, 19, 5860, 26637, 812, 543, 302, 355, 1291, 2064, 1025, 16941, 329, 529, 1675, 10741, 17, 630, 2666, 448, 275, 722, 302, 26125, 440, 284, 608, 267, 2527, 329, 26637, 812, 543, 497, 13762, 19, 204, 49, 362, 418, 19, 6901, 2656, 4576, 19, 204, 6950, 37793, 9618, 34499, 12257, 292, 830, 302, 275, 22419, 41362, 273, 25282, 34626, 521, 10289, 34626, 1561, 302, 10641, 8660, 496, 867, 1609, 523, 22135, 302, 275, 11128, 26352, 39679, 322, 11537, 1405, 17, 29395, 789, 592, 34904, 302, 5247, 275, 6695, 24090, 44419, 275, 10212, 24090, 496, 529, 19063, 302, 275, 6971, 302, 38765, 17, 292, 273, 1352, 3556, 448, 34903, 9028, 13384, 94, 19, 9134, 529, 1193, 292, 12509, 17, 25762, 329, 44854, 19420, 329, 10033, 32313, 19, 3898, 84, 18, 38525, 13709, 5913, 24090, 1415, 44419, 3461, 88, 17, 521, 1552, 35028, 5669, 38765, 19, 1058, 353, 273, 15621, 292, 19420, 323, 3099, 302, 275, 3898, 84, 18, 38525, 10291, 5229, 6017, 19, 204, 56, 354, 26110, 329, 275, 471, 1289, 375, 322, 1845, 3699, 18, 2898, 789, 21056, 38852, 15539, 37067, 390, 19, 204, 7061, 427, 329, 4725, 70, 323, 13709, 529, 3667, 21660, 560, 275, 19012, 302, 1874, 2151, 521, 275, 1622, 5013, 409, 441, 430, 302, 12759, 302, 6797, 17, 292, 47552, 2828, 48255, 521, 23007, 329, 995, 12131, 1027, 440, 3651, 798, 17, 4163, 329, 10569, 3582, 322, 4872, 2005, 295, 17, 29395, 789, 471, 19, 565, 19, 15256, 6089, 21899, 21963, 2076, 25645, 448, 273, 19036, 2501, 302, 23061, 275, 2688, 2404, 1622, 5013, 23796, 2076, 25645, 39660, 275, 5557, 302, 275, 10641, 17, 2864, 19420, 323, 11414, 3582, 322, 3047, 14398, 17, 13797, 789, 204, 673, 22240, 7166, 302, 14919, 354, 322, 1845, 4553, 789, 392, 19, 415, 19, 13254, 40205, 19, 204, 2021, 427, 2076, 25645, 353, 497, 275, 12509, 21963, 295, 1075, 348, 1064, 329, 16191, 5268, 798, 329, 3210, 275, 448, 6725, 302, 3651, 798, 329, 4163, 311, 273, 47273, 521, 1950, 18, 15635, 5337, 19, 39386, 2076, 25645, 353, 8405, 275, 2355, 302, 273, 13555, 292, 3651, 798, 521, 275, 1622, 5013, 12188, 299, 3651, 2665, 7133, 23007, 329, 275, 7345, 311, 273, 47273, 17, 521, 311, 437, 6555, 17, 4968, 521, 904, 726, 3582, 322, 4872, 2005, 295, 17, 29395, 789, 334, 3018, 5252, 311, 444, 16290, 1287, 2404, 21963, 295, 3377, 2018, 366, 2643, 353, 275, 448, 6725, 302, 3651, 18, 4995, 42771, 311, 6797, 17, 329, 28313, 696, 90, 2643, 275, 448, 39428, 3651, 6797, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 273, 47273, 19, 204, 42, 1595, 322, 2132, 9706, 789, 332, 19, 29974, 15381, 19, 204, 4356, 490, 618, 444, 5298, 275, 1622, 5013, 5568, 302, 11556, 11772, 322, 44, 9606, 329, 9992, 14, 32313, 6721, 1465, 21963, 2076, 27141, 24090, 329, 30803, 529, 292, 7510, 2589, 1051, 302, 275, 3124, 29715, 10571, 1465, 275, 391, 27141, 521, 444, 812, 21660, 24090, 329, 30803, 3582, 322, 49, 651, 17, 1916, 7745, 789, 334, 391, 25645, 3210, 275, 47273, 353, 6717, 521, 46314, 448, 273, 3651, 440, 275, 1526, 302, 437, 6555, 19, 39386, 2076, 25645, 353, 273, 3210, 302, 355, 2151, 1273, 1855, 9712, 329, 1874, 7973, 17, 3667, 311, 3512, 323, 292, 5576, 17, 529, 30216, 311, 275, 1502, 302, 273, 39679, 521, 13555, 19, 592, 3099, 302, 4361, 11091, 329, 28313, 2546, 830, 3584, 3855, 9272, 5329, 521, 508, 874, 1622, 5013, 24611, 1924, 273, 1259, 302, 27169, 616, 868, 5013, 70, 1259, 292, 928, 1250, 12551, 496, 444, 26872, 329, 5337, 2549, 9023, 329, 1249, 17, 292, 928, 275, 11636, 18, 1486, 867, 10652, 329, 11192, 867, 2323, 44163, 322, 22992, 40, 335, 342, 366, 17, 38529, 789, 204, 26, 279, 19, 20289, 8076, 6531, 204, 31538, 8076, 6531, 17, 497, 275, 12509, 3077, 8076, 865, 5268, 4362, 2391, 884, 353, 273, 10641, 28390, 21084, 1673, 521, 2423, 3780, 1702, 448, 5741, 17, 47776, 329, 275, 3307, 3237, 8344, 19, 8624, 34904, 329, 10641, 11845, 810, 311, 8335, 275, 26903, 543, 302, 3307, 329, 5741, 17, 329, 1901, 18395, 2248, 9728, 19073, 21084, 275, 1877, 18, 6715, 322, 4872, 2005, 295, 17, 29395, 789, 334, 3077, 8076, 9046, 19420, 17, 13305, 302, 12464, 329, 10927, 11132, 17, 3667, 22251, 275, 2423, 28100, 39223, 16998, 8642, 292, 3099, 302, 31179, 6539, 329, 19420, 323, 3269, 322, 45, 6779, 486, 17, 32056, 789, 10162, 275, 20761, 5674, 302, 19420, 6401, 273, 28390, 302, 5741, 8367, 560, 17711, 430, 329, 4260, 24021, 521, 42537, 19, 25203, 808, 11132, 353, 275, 6733, 302, 437, 1877, 8597, 1273, 275, 3597, 19420, 1622, 5013, 24514, 8793, 594, 329, 8959, 292, 1874, 2151, 4725, 70, 323, 11192, 18, 18468, 496, 30216, 275, 30180, 302, 273, 20976, 3582, 322, 49, 1980, 360, 17, 33296, 789, 204, 13904, 331, 592, 10593, 6369, 70, 5796, 2132, 6913, 789, 871, 19, 595, 19, 10748, 7055, 19, 204, 837, 1910, 34904, 1422, 529, 13782, 25173, 657, 1465, 273, 26582, 16291, 6571, 440, 18395, 302, 3307, 1877, 5741, 329, 808, 1622, 5013, 46351, 353, 3667, 302, 273, 16868, 94, 329, 794, 1509, 9225, 464, 5568, 3582, 322, 44, 619, 1570, 17, 34623, 789, 334, 3623, 302, 275, 8227, 353, 5298, 448, 273, 940, 10991, 329, 9373, 2481, 5084, 275, 7625, 17, 437, 1683, 6715, 4365, 13144, 560, 3461, 88, 521, 355, 1291, 17, 329, 32482, 1924, 1731, 419, 853, 560, 1125, 1015, 521, 11192, 41438, 19, 9496, 10033, 32313, 874, 437, 292, 46287, 3773, 302, 273, 40241, 13555, 521, 830, 18, 21773, 4368, 1415, 17, 2090, 275, 8227, 7105, 869, 1622, 5013, 70, 21185, 2347, 4260, 348, 3094, 521, 20190, 17, 329, 529, 15844, 2828, 302, 22135, 3582, 322, 44, 619, 1570, 17, 34623, 789, 204, 56, 422, 15146, 3901, 364, 322, 2132, 7900, 789, 552, 19, 501, 19, 8868, 10991, 95, 19, 204, 673, 3623, 302, 275, 8227, 17, 275, 1877, 18, 6715, 17, 353, 23543, 448, 273, 35909, 329, 25050, 2481, 19, 20289, 8076, 9046, 34904, 3667, 918, 26446, 270, 657, 21084, 275, 1102, 18659, 302, 42771, 1273, 275, 8227, 3472, 7160, 17, 521, 1273, 275, 39823, 329, 34499, 30803, 529, 12551, 311, 407, 311, 13887, 275, 7497, 19, 334, 6733, 302, 5741, 292, 275, 741, 302, 275, 3077, 8076, 9046, 19420, 353, 311, 1622, 5013, 36794, 292, 4414, 787, 3099, 17, 560, 3210, 302, 2388, 17, 2075, 2950, 2130, 444, 4481, 1025, 3651, 7856, 3582, 322, 45, 6779, 486, 17, 32056, 789, 6263, 19420, 787, 8993, 17, 292, 3099, 302, 3077, 8076, 9046, 11132, 6401, 1622, 5013, 34555, 15502, 770, 33577, 329, 7521, 316, 275, 3718, 302, 5741, 329, 311, 35093, 275, 794, 38714, 23554, 329, 26069, 302, 13499, 19, 322, 39714, 11743, 17, 27083, 11, 789, 204, 39, 638, 366, 354, 17254, 1240, 22970, 364, 656, 440, 273, 46576, 23239, 302, 48916, 19, 501, 19, 565, 19, 346, 4666, 12017, 322, 1845, 5839, 18, 2314, 7525, 789, 204, 43, 29274, 13633, 17, 928, 353, 275, 3220, 302, 24822, 1493, 302, 4744, 2363, 17, 11132, 17, 21739, 329, 1838, 322, 8273, 652, 17, 19772, 659, 353, 2927, 719, 302, 12787, 1792, 1842, 496, 2255, 34904, 17, 9843, 94, 40814, 17, 426, 31452, 48255, 468, 1830, 793, 17, 34766, 17, 43233, 17, 13658, 2486, 543, 17, 329, 8489, 9029, 12843, 329, 6068, 17, 43653, 275, 4550, 302, 27135, 13633, 1622, 5013, 529, 3667, 3060, 15087, 4201, 440, 24321, 329, 19364, 17, 928, 1250, 8335, 3582, 322, 49, 1980, 360, 17, 33296, 789, 5860, 21557, 8732, 496, 4362, 2301, 14106, 884, 448, 273, 798, 302, 9293, 5765, 353, 273, 40382, 992, 2219, 7239, 1250, 529, 15087, 3232, 311, 27135, 530, 793, 329, 43233, 17, 7239, 273, 4790, 302, 27135, 13633, 353, 1085, 1622, 5013, 522, 273, 22554, 8908, 928, 353, 22694, 16718, 447, 521, 37197, 447, 17, 292, 18395, 329, 11845, 17, 33012, 521, 9087, 302, 4303, 8037, 17, 292, 34904, 17, 43233, 329, 40814, 302, 2323, 23382, 17, 329, 292, 19615, 329, 46851, 928, 8314, 275, 45014, 329, 41382, 302, 273, 1627, 6216, 1194, 437, 3509, 3582, 322, 44, 7268, 17, 38529, 789, 204, 56, 748, 5705, 322, 2132, 6074, 789, 346, 19, 332, 19, 502, 697, 266, 19, 204, 42125, 34904, 27135, 530, 793, 618, 444, 8441, 292, 2481, 329, 690, 440, 27135, 13633, 275, 1622, 5013, 16255, 302, 25025, 521, 24822, 1493, 302, 3299, 18395, 521, 2363, 1193, 4751, 794, 21031, 756, 521, 12931, 18, 21031, 756, 1880, 292, 9272, 5329, 5899, 3582, 322, 8273, 652, 17, 19772, 789, 472, 29274, 13633, 1917, 437, 48107, 302, 273, 800, 2501, 302, 3307, 329, 928, 24073, 275, 1019, 17, 31951, 657, 17, 11160, 302, 4109, 22554, 17, 292, 1163, 1622, 5013, 9859, 526, 3807, 329, 35198, 1026, 4840, 17, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 41343, 24073, 1429, 302, 275, 46211, 17120, 329, 20111, 292, 275, 5557, 302, 1064, 3582, 322, 49, 1980, 360, 17, 33296, 789, 334, 7156, 302, 19420, 353, 1163, 30379, 497, 41438, 928, 5814, 27135, 13633, 329, 41343, 7510, 1418, 337, 41864, 578, 17, 8405, 275, 1622, 5013, 7728, 1283, 273, 27135, 530, 280, 329, 273, 19420, 12034, 292, 1702, 437, 21212, 523, 275, 31681, 3625, 44163, 322, 40, 363, 476, 1128, 17, 26763, 789, 5672, 14106, 529, 7458, 11556, 496, 24722, 10641, 11132, 16379, 27135, 13633, 353, 275, 1622, 5013, 16255, 302, 19036, 13709, 329, 2363, 3848, 3905, 5329, 3582, 322, 8273, 652, 17, 19772, 659, 329, 8337, 529, 4362, 42019, 747, 43233, 16289, 204, 41, 6495, 3896, 19, 871, 19, 595, 19, 10748, 7055, 322, 2132, 7298, 18, 1794, 2314, 789, 204, 42524, 9545, 329, 7428, 292, 275, 7597, 302, 27135, 13633, 17, 27135, 40814, 329, 9843, 94, 40814, 1741, 8108, 1622, 5013, 70, 6657, 5378, 17, 1330, 275, 21086, 302, 9618, 22554, 1466, 292, 273, 1259, 302, 27169, 616, 868, 17, 292, 928, 1250, 3756, 17, 329, 6183, 1702, 5337, 273, 1336, 292, 27135, 530, 793, 17, 20386, 329, 19141, 448, 1250, 1741, 444, 3582, 322, 22992, 40, 335, 342, 366, 17, 38529, 789, 334, 27599, 302, 275, 27135, 32648, 353, 496, 1250, 529, 9293, 1622, 5013, 266, 275, 7211, 302, 2545, 38978, 1873, 497, 1051, 7513, 311, 7513, 44163, 322, 37507, 17, 42357, 659, 329, 275, 1554, 43418, 1193, 292, 27135, 40814, 529, 12956, 38928, 10524, 3718, 945, 292, 8784, 19, 592, 808, 7211, 34904, 17, 1330, 1250, 874, 8287, 1017, 13107, 17, 3472, 9843, 94, 40814, 329, 27135, 13633, 17, 8337, 1048, 275, 15690, 302, 690, 1622, 5013, 17671, 8527, 685, 329, 34904, 3524, 17, 292, 13709, 17, 12400, 17, 1838, 17, 329, 4109, 4414, 787, 4840, 440, 6863, 44799, 302, 275, 10033, 468, 704, 44163, 322, 14426, 1486, 17, 42007, 789, 204, 673, 387, 1851, 853, 329, 548, 447, 6731, 19, 12247, 471, 10240, 19, 204, 2841, 353, 292, 9843, 94, 40814, 275, 11872, 496, 1250, 529, 3610, 440, 22939, 521, 12259, 5376, 468, 3379, 322, 55, 616, 10387, 17, 42007, 789, 26253, 3597, 521, 34366, 34904, 275, 27135, 530, 280, 1622, 5013, 21733, 444, 3232, 448, 437, 1249, 302, 7189, 3423, 348, 32179, 3582, 322, 37507, 17, 42357, 789, 334, 38898, 353, 496, 275, 10033, 8784, 302, 275, 2363, 13782, 2614, 275, 27135, 530, 280, 353, 1698, 43424, 447, 14733, 302, 32395, 19, 334, 7089, 9843, 94, 11556, 3556, 448, 4362, 6022, 15714, 884, 874, 1698, 273, 9122, 1475, 323, 47758, 633, 1851, 440, 273, 8372, 302, 6651, 19, 334, 9758, 2724, 1895, 1236, 33154, 652, 630, 19148, 516, 329, 874, 1236, 9834, 440, 36692, 5329, 8916, 3780, 19, 39756, 19420, 10524, 297, 31241, 292, 275, 12308, 7211, 17, 8405, 1250, 1622, 5013, 5934, 1236, 33154, 652, 311, 2545, 437, 2231, 302, 2727, 577, 13029, 17, 521, 437, 14473, 302, 4193, 21939, 17, 7634, 2363, 17, 521, 302, 24321, 13026, 329, 5012, 11845, 3582, 322, 37507, 17, 42357, 789, 3355, 17, 9843, 94, 40814, 770, 21994, 292, 7458, 22372, 273, 542, 302, 40602, 3758, 3582, 322, 42, 46770, 18, 31011, 1013, 17, 32056, 789, 204, 673, 16956, 8448, 322, 2132, 7879, 789, 15571, 14470, 1424, 19, 204, 7061, 14106, 874, 7524, 5293, 329, 940, 28917, 756, 1882, 275, 15690, 302, 690, 329, 1048, 5324, 19, 334, 7524, 19057, 1103, 6019, 6447, 17, 17016, 1178, 329, 7612, 12773, 19, 2695, 9105, 323, 41438, 1425, 10321, 336, 8337, 16054, 496, 275, 1622, 5013, 2301, 14106, 13975, 311, 10321, 299, 41438, 1466, 33192, 497, 1017, 24321, 25949, 329, 6802, 20752, 4840, 17, 12056, 1025, 275, 6546, 302, 904, 22554, 1001, 322, 45, 6779, 486, 17, 32056, 789, 472, 29274, 530, 793, 329, 43233, 8405, 918, 2614, 7105, 15802, 301, 302, 34904, 496, 874, 3472, 1085, 302, 275, 12400, 302, 22554, 17, 8337, 275, 27135, 530, 280, 353, 273, 19036, 32648, 302, 19420, 787, 5576, 496, 869, 273, 31086, 21739, 521, 39521, 700, 19, 322, 8273, 652, 17, 19772, 789, 5424, 4398, 311, 34904, 329, 8822, 292, 27135, 13633, 329, 13709, 9682, 1702, 448, 13809, 6890, 1405, 769, 3624, 6494, 1622, 5013, 70, 13709, 302, 758, 45879, 329, 24330, 1044, 440, 1702, 7345, 448, 275, 27208, 13555, 17, 275, 39505, 39679, 17, 275, 37249, 17985, 10985, 17, 830, 11577, 3483, 36609, 560, 275, 27135, 3582, 322, 31011, 1013, 17, 23251, 789, 204, 38, 47876, 656, 630, 392, 1474, 865, 322, 2132, 6074, 789, 1131, 14092, 1013, 28497, 82, 823, 2070, 19, 204, 1449, 3512, 2643, 353, 302, 4382, 8622, 292, 275, 4835, 1844, 302, 275, 6797, 302, 4361, 4383, 19, 313, 2178, 82, 2643, 353, 10819, 497, 4362, 633, 3512, 17848, 437, 10006, 79, 1156, 16186, 1142, 497, 7136, 7266, 19, 29023, 6709, 1466, 560, 13432, 292, 275, 1916, 427, 6129, 32, 1283, 1916, 9579, 329, 35773, 9979, 49, 6352, 291, 10946, 311, 3512, 2643, 448, 273, 16147, 7341, 348, 2589, 27459, 32, 9585, 7144, 292, 1704, 3420, 3351, 313, 2178, 82, 2643, 329, 701, 1312, 41994, 322, 1794, 1003, 659, 10869, 6982, 275, 7597, 329, 2528, 497, 35383, 311, 42298, 32, 18278, 9599, 656, 85, 10869, 292, 20486, 32, 15256, 6089, 292, 1916, 2418, 32, 329, 25119, 775, 16252, 292, 20388, 22617, 496, 311, 3512, 2643, 6717, 2327, 31932, 21939, 496, 2080, 1742, 15915, 4975, 286, 4333, 10342, 4430, 19, 204, 45, 6412, 83, 311, 1998, 9645, 322, 1794, 7788, 789, 33259, 31098, 355, 34786, 19, 204, 1046, 34960, 2614, 34904, 529, 15802, 301, 302, 10033, 42113, 311, 3512, 2643, 928, 353, 273, 1622, 5013, 88, 2431, 30027, 4147, 1609, 523, 1567, 640, 17, 848, 5701, 1163, 3346, 23969, 12260, 1446, 521, 4362, 633, 3512, 884, 6555, 44163, 322, 11424, 28099, 3198, 17, 17006, 789, 33797, 275, 4316, 17, 39823, 521, 27459, 32501, 1017, 17391, 497, 273, 2323, 21825, 17, 928, 292, 311, 3512, 2643, 3210, 1622, 5013, 1819, 8365, 7160, 521, 2219, 6415, 529, 21899, 448, 275, 21086, 521, 5568, 747, 302, 4153, 9172, 521, 4119, 3582, 322, 44, 619, 1570, 17, 34623, 789, 592, 3099, 302, 9172, 17, 30803, 17, 2219, 15187, 17, 275, 9293, 8160, 529, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3667, 17035, 292, 32687, 7322, 10199, 543, 19, 592, 10033, 12509, 41343, 3509, 30803, 1702, 448, 8880, 39123, 329, 13556, 336, 281, 354, 1466, 10614, 23871, 4569, 15810, 17, 8337, 1622, 17257, 87, 31882, 281, 17391, 17, 39192, 329, 29119, 940, 30766, 5395, 19420, 4461, 32, 8916, 12092, 1675, 13372, 329, 1009, 3435, 1025, 275, 3702, 302, 2323, 3511, 3582, 322, 11537, 1405, 17, 29395, 789, 204, 673, 7035, 270, 1516, 13555, 502, 619, 8349, 19, 204, 673, 9231, 521, 15599, 88, 302, 311, 3512, 323, 1567, 640, 1466, 7540, 329, 25370, 4153, 9350, 329, 26249, 292, 2666, 302, 9422, 17, 5024, 521, 6447, 322, 11537, 1405, 17, 29395, 14, 1101, 275, 1352, 355, 22517, 523, 20252, 5035, 302, 801, 391, 43398, 19, 17789, 5035, 329, 8951, 84, 865, 6999, 3153, 23741, 311, 39823, 432, 1312, 41994, 329, 273, 3196, 302, 34904, 1622, 5013, 12964, 9834, 311, 3512, 323, 432, 1312, 41994, 508, 448, 273, 1561, 302, 5035, 322, 9798, 353, 1662, 275, 28313, 15919, 7336, 311, 2013, 490, 14, 1101, 448, 273, 12337, 348, 19420, 787, 7239, 353, 15502, 440, 292, 331, 274, 20113, 639, 3582, 322, 49, 1980, 360, 17, 33296, 789, 334, 28313, 4132, 329, 8916, 3979, 5913, 496, 355, 1291, 529, 10819, 497, 311, 3512, 7160, 1683, 275, 10436, 302, 3671, 8951, 84, 865, 19, 592, 808, 7211, 17, 440, 8152, 311, 275, 19420, 323, 5576, 302, 1064, 329, 7160, 1622, 5013, 1947, 15532, 302, 1051, 2545, 7758, 560, 521, 7834, 1025, 275, 904, 353, 273, 2323, 11132, 3582, 322, 44, 619, 1570, 17, 34623, 789, 204, 673, 25176, 302, 387, 619, 291, 784, 281, 354, 2617, 45365, 3642, 1998, 16650, 295, 1077, 19, 204, 837, 10033, 24412, 275, 4383, 302, 275, 32738, 6802, 275, 29412, 12400, 302, 275, 31991, 292, 14109, 39984, 496, 1466, 44507, 292, 1428, 269, 2882, 17, 448, 440, 275, 40282, 382, 36990, 9644, 19, 7074, 291, 1987, 7001, 1025, 6323, 3098, 28228, 1154, 496, 1466, 273, 15621, 302, 4361, 4383, 19, 21812, 2260, 438, 8337, 6802, 1182, 3287, 1194, 39823, 15189, 17, 3299, 34499, 34669, 1466, 8287, 2404, 275, 1622, 5013, 45559, 2350, 302, 25773, 867, 508, 275, 39823, 17, 10524, 275, 27459, 17, 928, 1466, 14918, 34069, 6265, 4099, 17, 1101, 275, 1428, 269, 569, 17, 928, 275, 31991, 20021, 292, 12278, 2219, 1330, 275, 801, 87, 22648, 34499, 329, 39823, 25773, 867, 31653, 6982, 1475, 3582, 322, 4167, 509, 1013, 17, 31516, 789, 204, 673, 332, 92, 934, 6533, 302, 275, 23200, 94, 18878, 313, 12872, 1257, 19, 871, 19, 871, 19, 48467, 326, 78, 19, 204, 673, 5576, 521, 5247, 302, 275, 13346, 329, 830, 7497, 5337, 529, 3667, 448, 19565, 311, 1429, 771, 266, 1399, 16291, 928, 8489, 869, 437, 6555, 798, 19, 592, 19420, 808, 353, 3667, 401, 90, 3408, 292, 3099, 302, 1064, 2545, 7196, 497, 23138, 17, 19232, 17, 14638, 17, 11637, 17, 2484, 3576, 17, 521, 2219, 13520, 2527, 10520, 19, 10162, 45318, 353, 5298, 292, 3099, 302, 275, 311, 3512, 323, 17, 39823, 432, 1312, 41994, 329, 292, 331, 274, 8951, 6779, 329, 1622, 5013, 286, 353, 22890, 275, 995, 8575, 16021, 302, 39486, 1283, 3671, 34069, 496, 14120, 14255, 1064, 497, 275, 7160, 44163, 322, 49, 1980, 360, 17, 32056, 789, 204, 27, 308, 19, 38413, 204, 673, 5576, 302, 27135, 530, 793, 618, 444, 32501, 311, 275, 4853, 37793, 3155, 302, 275, 18358, 26100, 322, 2310, 5809, 270, 17, 33847, 659, 496, 1250, 529, 25373, 302, 311, 3512, 323, 5520, 7908, 44434, 322, 1560, 453, 17, 42007, 659, 329, 8405, 304, 29753, 311, 19036, 12259, 5376, 44434, 322, 42, 612, 4949, 17, 35486, 789, 5672, 14106, 529, 508, 275, 1729, 448, 27135, 530, 793, 17, 43233, 329, 9843, 94, 40814, 1101, 1250, 618, 17, 329, 770, 11585, 17, 329, 1466, 12098, 1025, 12400, 560, 275, 26645, 23836, 2083, 19, 472, 29274, 530, 793, 329, 9843, 94, 40814, 1466, 23543, 560, 275, 18867, 8785, 2156, 302, 275, 1433, 427, 6129, 7133, 2864, 275, 35178, 88, 28497, 649, 17, 448, 355, 18074, 521, 38283, 25025, 302, 437, 10407, 41343, 19, 204, 52, 336, 579, 354, 329, 275, 34980, 322, 2132, 2562, 789, 501, 707, 913, 8833, 2854, 19, 204, 33091, 3254, 529, 9293, 40814, 6028, 292, 4303, 311, 444, 3597, 329, 758, 292, 1182, 5411, 2666, 19, 592, 4998, 275, 667, 2724, 529, 3651, 6216, 1194, 355, 1291, 16379, 34904, 7253, 5971, 523, 2234, 15635, 9873, 19, 334, 3979, 496, 10946, 12400, 448, 273, 31536, 344, 302, 19420, 867, 1622, 5013, 85, 17059, 14725, 560, 24677, 48677, 329, 2830, 20478, 19763, 2156, 501, 27661, 43772, 329, 472, 19, 502, 19, 23229, 9646, 3582, 322, 3047, 14398, 17, 13797, 789, 27463, 34904, 874, 273, 4802, 1807, 4147, 19, 334, 24321, 18, 2301, 427, 3979, 311, 275, 3220, 302, 27135, 13633, 1425, 3556, 448, 275, 22070, 3979, 6999, 5994, 560, 23229, 9646, 322, 1794, 1258, 14, 329, 48677, 322, 1794, 2353, 659, 8337, 348, 1763, 275, 1622, 5013, 5203, 5012, 867, 273, 34366, 22135, 302, 13448, 5608, 88, 31639, 1025, 7504, 2666, 292, 273, 43026, 798, 5013, 13, 50, 298, 549, 17, 43207, 32, 5013, 6268, 1415, 38349, 5329, 496, 48716, 7418, 6296, 867, 1609, 523, 468, 3379, 31639, 678, 18, 45361, 5012, 88, 19, 5028, 2013, 867, 496, 275, 19155, 6890, 362, 23836, 2083, 1466, 273, 6976, 43549, 344, 302, 30180, 24321, 322, 25647, 271, 17, 20486, 659, 329, 1182, 2953, 13497, 361, 616, 10387, 21638, 685, 496, 1622, 5013, 2301, 427, 9211, 10701, 23061, 275, 24321, 311, 8335, 904, 21939, 292, 6797, 8337, 22922, 448, 4303, 273, 310, 16408, 3582, 322, 45, 912, 514, 17, 45114, 789, 204, 49, 30042, 329, 275, 7338, 291, 322, 1909, 4966, 18, 37033, 789, 16367, 12971, 22358, 624, 19, 204, 33091, 3254, 329, 297, 38282, 529, 5971, 1085, 302, 273, 4338, 2481, 17, 521, 4851, 311, 273, 22464, 18, 24899, 15739, 2864, 273, 355, 2429, 340, 17, 273, 49096, 5012, 48440, 521, 23969, 4245, 17, 329, 8337, 1622, 5013, 47076, 523, 275, 13482, 23421, 329, 5916, 1005, 302, 2075, 529, 12551, 521, 6717, 311, 874, 1742, 2318, 1880, 329, 2641, 7428, 3582, 322, 37507, 17, 42357, 789, 387, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 38282, 529, 23543, 448, 36082, 1609, 6982, 34904, 30984, 1250, 15753, 273, 542, 302, 24321, 2048, 322, 55, 616, 10387, 17, 42417, 789, 1547, 6353, 496, 20177, 281, 297, 38282, 329, 43233, 529, 8916, 292, 27021, 19, 35312, 31218, 1093, 3409, 336, 440, 16405, 814, 2827, 1178, 329, 3358, 1128, 1282, 1320, 311, 273, 3718, 945, 26735, 19, 204, 7697, 6081, 70, 322, 1845, 1909, 789, 1131, 37970, 1257, 45770, 34855, 16024, 19, 204, 45556, 34904, 874, 273, 4802, 1807, 4147, 19, 4168, 34904, 529, 37028, 329, 13395, 1017, 1714, 1250, 3074, 523, 275, 2048, 302, 275, 27135, 530, 280, 17, 9843, 94, 32648, 329, 12092, 19, 592, 275, 1352, 275, 26582, 11057, 302, 19420, 3472, 9712, 17, 16401, 1372, 329, 9843, 94, 27135, 19, 17343, 3254, 448, 45376, 529, 30209, 38978, 1873, 17, 529, 15502, 1425, 440, 2641, 6759, 17, 329, 6721, 302, 2318, 11518, 322, 8273, 652, 17, 19772, 659, 8337, 43233, 3472, 11556, 19, 17343, 3254, 529, 40814, 17, 11556, 17, 329, 8798, 17035, 292, 11616, 880, 329, 3511, 5862, 265, 2671, 1399, 496, 6721, 302, 11518, 329, 3780, 19, 204, 34039, 1253, 329, 275, 5045, 4913, 322, 2300, 2934, 789, 13143, 6539, 404, 612, 19, 204, 27, 279, 19, 48431, 323, 334, 6410, 204, 39, 10287, 880, 521, 5954, 1102, 4879, 529, 3250, 2745, 48127, 329, 618, 2255, 49096, 329, 19148, 7524, 30214, 17, 448, 2590, 448, 44392, 31505, 11091, 19, 48431, 323, 21832, 47894, 292, 7914, 578, 20761, 11057, 329, 13761, 496, 22899, 292, 2589, 8908, 322, 49, 1980, 360, 17, 33296, 659, 928, 618, 444, 16025, 1025, 10549, 5981, 31, 322, 22, 14, 4325, 10803, 3704, 20955, 21836, 329, 1895, 11566, 1465, 5094, 25690, 32, 322, 23, 14, 1422, 1741, 444, 273, 9206, 292, 273, 26005, 302, 7160, 32, 322, 24, 14, 1422, 529, 40814, 302, 275, 16913, 329, 19776, 981, 302, 273, 17764, 2834, 10229, 32, 322, 25, 14, 1422, 529, 11556, 302, 14031, 7160, 329, 287, 10896, 32, 322, 26, 14, 11556, 1465, 4598, 1415, 1741, 1950, 18, 15078, 640, 32, 322, 27, 14, 1422, 353, 275, 11499, 302, 273, 37577, 8933, 32, 322, 28, 14, 1422, 529, 3958, 291, 425, 25352, 21832, 32, 329, 322, 29, 14, 40814, 302, 275, 9701, 6139, 576, 1750, 1048, 275, 6556, 19, 204, 56, 422, 15146, 3901, 364, 322, 2132, 8867, 789, 501, 19, 472, 19, 44148, 19, 204, 35985, 1026, 41343, 8321, 311, 5408, 34904, 497, 1792, 18691, 292, 1552, 311, 355, 1054, 316, 21832, 329, 2048, 292, 2323, 17, 8405, 275, 1622, 5013, 4038, 1979, 7448, 302, 34904, 329, 19420, 323, 21832, 9470, 497, 273, 6592, 8372, 302, 18691, 3582, 322, 44008, 1333, 17, 33482, 789, 5424, 8152, 311, 43418, 292, 27135, 13633, 329, 21832, 292, 19420, 1250, 529, 39841, 2113, 440, 275, 19312, 302, 29626, 690, 329, 2528, 322, 11424, 2410, 17, 18579, 14, 496, 2255, 8908, 30803, 17, 23335, 302, 36158, 17, 287, 10896, 329, 13520, 2527, 17, 275, 6106, 8638, 397, 6659, 17, 329, 37577, 21985, 329, 11834, 35586, 19, 7616, 12337, 353, 1193, 292, 1910, 1792, 34904, 19, 332, 542, 302, 14043, 3391, 529, 311, 444, 1193, 292, 1910, 34904, 928, 2255, 275, 355, 2429, 340, 1273, 1051, 521, 1182, 16979, 1702, 2317, 33397, 1516, 471, 9892, 302, 41449, 1756, 823, 440, 1163, 35812, 292, 275, 23483, 308, 1313, 17, 292, 25762, 41343, 17, 1425, 28913, 42633, 41343, 17, 448, 2590, 448, 1998, 90, 2837, 288, 302, 12509, 19420, 17, 329, 275, 15577, 277, 361, 17984, 290, 779, 19, 204, 52, 33008, 19, 7938, 266, 12886, 75, 6417, 19, 204, 673, 11556, 1465, 275, 3307, 6596, 302, 275, 36774, 605, 19245, 10229, 353, 39309, 273, 1898, 18523, 427, 322, 32745, 18003, 17, 21349, 14, 329, 5913, 273, 2323, 2679, 1193, 292, 830, 18691, 17, 329, 7870, 275, 2688, 19, 334, 731, 6936, 359, 344, 329, 28840, 3220, 302, 34904, 5913, 19073, 496, 2512, 19420, 84, 21595, 88, 311, 15003, 273, 426, 3990, 94, 427, 6531, 19, 35795, 447, 275, 32486, 8160, 292, 4109, 18691, 329, 34904, 17, 348, 1763, 19073, 292, 275, 1987, 302, 355, 1291, 17, 8956, 273, 2323, 45318, 17, 448, 618, 444, 5298, 292, 3898, 84, 18, 38525, 41343, 19, 37767, 1026, 5247, 34904, 529, 1193, 440, 275, 23483, 1747, 292, 36822, 17, 275, 33397, 1516, 2991, 10504, 2585, 521, 275, 5782, 70, 471, 2380, 17, 448, 2590, 448, 275, 17557, 1043, 23969, 9596, 24321, 19, 204, 39, 638, 366, 354, 322, 1845, 5049, 18, 1845, 2169, 789, 16367, 12971, 22358, 624, 19, 204, 38, 542, 302, 18738, 302, 34904, 9605, 19073, 1702, 448, 275, 5565, 8365, 2156, 17, 1415, 2255, 7504, 2344, 21557, 1415, 1639, 21212, 523, 6108, 17, 329, 275, 37767, 29758, 2156, 302, 275, 1916, 427, 329, 1433, 427, 6129, 1415, 7443, 275, 19073, 19, 334, 37577, 731, 3379, 302, 34499, 8295, 292, 1163, 12882, 1733, 6802, 6167, 1025, 970, 4364, 17, 275, 26001, 329, 275, 1950, 18, 22151, 322, 48788, 486, 17, 35223, 789, 334, 35117, 13496, 4925, 88, 6802, 4583, 5012, 88, 521, 23553, 440, 1017, 3346, 311, 18780, 19, 204, 52, 8948, 23829, 322, 2132, 9361, 789, 332, 19, 29974, 15381, 19, 204, 6350, 302, 275, 34904, 329, 41438, 302, 10033, 24412, 1466, 508, 22550, 311, 275, 3618, 1101, 29503, 292, 12415, 17, 23279, 40757, 555, 1257, 17, 329, 29293, 19, 592, 3099, 302, 275, 10854, 10641, 41343, 275, 34904, 7105, 3472, 11556, 521, 45376, 1465, 26582, 521, 10229, 323, 2724, 19, 43730, 3483, 1102, 3832, 336, 497, 7513, 311, 7513, 1250, 3472, 17, 1048, 690, 17, 273, 38979, 1561, 496, 23786, 275, 10641, 329, 17962, 3307, 302, 273, 5698, 19, 334, 1561, 1675, 6401, 273, 1561, 1136, 276, 971, 329, 32931, 560, 36003, 329, 34190, 19, 1058, 14473, 23786, 275, 7319, 560, 21056, 13275, 9585, 7144, 17, 329, 20580, 560, 13497, 361, 616, 10387, 322, 1794, 8532, 659, 496, 1622, 5013, 8500, 4757, 292, 19036, 8295, 12551, 496, 490, 867, 2237, 311, 3326, 275, 5583, 560, 11192, 17, 1250, 8405, 19509, 11192, 4825, 448, 1017, 1043, 30429, 19, 322, 42, 46770, 18, 31011, 1013, 17, 32056, 789, 204, 673, 16422, 302, 3899, 509, 322, 2132, 6304, 18, 26, 789, 21056, 19, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 471, 19, 28195, 74, 24515, 19, 204, 42445, 49096, 329, 19036, 13709, 1422, 867, 275, 38269, 329, 19141, 11285, 496, 9373, 17, 8341, 329, 355, 2880, 316, 6759, 1466, 275, 995, 369, 302, 36158, 329, 3461, 88, 19, 12412, 2688, 867, 1051, 1273, 40814, 38770, 311, 8335, 275, 18814, 302, 275, 3461, 88, 1415, 43195, 3153, 8250, 19, 16956, 40240, 17, 36324, 329, 4193, 32222, 1466, 275, 1225, 302, 1605, 36158, 19, 592, 10033, 9644, 1422, 23500, 437, 7510, 16147, 275, 11132, 292, 5713, 22239, 7593, 521, 275, 6733, 496, 490, 867, 2237, 348, 9712, 311, 3204, 1025, 437, 6555, 798, 521, 18977, 23983, 19, 1058, 2665, 18, 30362, 7103, 867, 17870, 311, 444, 2614, 275, 2347, 302, 15077, 1749, 17, 306, 46539, 17, 24090, 329, 13555, 3435, 890, 17, 448, 2590, 448, 8469, 21847, 329, 904, 1103, 281, 9873, 19, 8624, 6016, 529, 1193, 292, 34904, 17, 27135, 13633, 17, 329, 9843, 94, 40814, 17, 1051, 1702, 11132, 2545, 292, 10399, 4453, 427, 5072, 19, 204, 6674, 569, 656, 630, 275, 42678, 302, 26133, 359, 271, 322, 2132, 7946, 789, 552, 19, 552, 19, 4864, 547, 78, 9391, 95, 14148, 19, 204, 45001, 329, 41088, 30271, 336, 204, 2021, 271, 19, 322, 22415, 789, 334, 3431, 2298, 10098, 671, 7017, 302, 27747, 5672, 14106, 329, 28750, 19, 26905, 30926, 17, 552, 864, 9646, 21198, 19, 204, 28989, 27151, 17, 871, 17, 3772, 520, 19, 46864, 19, 322, 36562, 789, 5608, 88, 329, 18598, 19, 650, 6313, 17, 19804, 19, 204, 28989, 27151, 17, 332, 19, 322, 31025, 789, 334, 346, 3792, 302, 275, 12536, 19, 42781, 29169, 17, 11343, 19, 204, 39, 514, 2734, 17, 361, 19, 322, 1794, 8369, 789, 48431, 30432, 19, 18688, 329, 35068, 17, 2991, 6751, 19, 204, 39, 402, 1453, 17, 595, 19, 322, 37627, 789, 334, 41400, 302, 472, 29274, 13633, 31, 1158, 277, 392, 4339, 5392, 19, 592, 31, 37533, 3435, 322, 37627, 789, 204, 39, 2833, 266, 17, 415, 19, 3772, 520, 19, 322, 1794, 9769, 789, 12060, 18452, 19, 681, 322, 1003, 789, 36876, 19, 204, 39, 905, 31259, 17, 871, 19, 322, 1794, 2562, 789, 5898, 346, 439, 981, 19, 12955, 8931, 17, 2991, 6751, 19, 204, 39714, 9327, 17, 412, 19, 322, 1794, 5645, 789, 35836, 11048, 39386, 4538, 2546, 19, 387, 1595, 390, 278, 20002, 17, 2991, 6751, 19, 204, 22844, 90, 362, 17, 5443, 2115, 552, 19, 322, 48855, 789, 292, 3431, 2298, 10098, 671, 7017, 302, 2680, 35688, 329, 27747, 5904, 19, 361, 19, 35323, 267, 17, 2991, 6751, 19, 204, 39, 29283, 17, 480, 19, 322, 20497, 789, 7623, 9812, 523, 273, 313, 1887, 497, 6856, 395, 8302, 342, 19, 37767, 1026, 16512, 292, 12360, 329, 9186, 19, 7332, 322, 23, 789, 204, 39, 1587, 7038, 366, 17, 313, 19, 322, 21343, 789, 38107, 7038, 366, 884, 88, 48431, 6531, 19, 33696, 599, 1282, 1144, 1055, 9614, 17, 2991, 6751, 19, 204, 39, 39090, 17, 346, 19, 322, 1794, 3222, 789, 11274, 302, 334, 25119, 565, 2460, 19, 472, 29274, 13633, 19, 1598, 19, 204, 32745, 18003, 17, 871, 19, 322, 1794, 3534, 789, 334, 27463, 440, 273, 2767, 35925, 4657, 482, 19, 5443, 638, 354, 20002, 17, 11343, 19, 204, 32745, 18003, 19, 871, 19, 322, 1794, 9889, 273, 789, 6524, 25319, 48431, 6531, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 32745, 18003, 17, 871, 19, 322, 1794, 9889, 308, 789, 47073, 3321, 281, 48431, 6531, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 32745, 18003, 17, 871, 19, 322, 1794, 9889, 279, 789, 37195, 9341, 48431, 6531, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 32745, 18003, 17, 871, 19, 322, 1794, 9889, 303, 789, 31284, 48431, 6531, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 32745, 18003, 17, 871, 19, 322, 43303, 789, 334, 9554, 302, 48431, 19, 18447, 2124, 17, 2991, 6751, 19, 204, 11424, 28099, 3198, 17, 502, 19, 346, 19, 322, 28936, 789, 361, 23098, 17, 48431, 17, 329, 275, 21909, 337, 6547, 19, 42653, 329, 10892, 714, 48986, 19, 12448, 19, 204, 11424, 2410, 17, 502, 19, 415, 19, 322, 31745, 789, 48431, 19, 592, 31, 4024, 12696, 1013, 17, 412, 19, 2343, 471, 2406, 17, 502, 19, 322, 5902, 789, 204, 40, 2833, 43862, 17, 471, 19, 322, 1794, 4832, 789, 22406, 523, 4560, 19, 2991, 552, 13424, 19, 204, 40, 2833, 43862, 17, 471, 19, 322, 1794, 7378, 789, 334, 48431, 302, 275, 5140, 19, 2991, 552, 13424, 19, 204, 1571, 22703, 17, 628, 19, 501, 19, 322, 1794, 4553, 789, 2935, 552, 748, 7175, 292, 9186, 2617, 415, 36049, 17, 552, 3040, 307, 8057, 3195, 19, 204, 2567, 3486, 17, 415, 19, 387, 19, 322, 1794, 9579, 789, 334, 2681, 302, 48431, 19, 4560, 19, 681, 322, 23, 789, 11047, 19, 204, 2567, 779, 17, 332, 19, 565, 19, 322, 1794, 2300, 18, 2169, 789, 14919, 354, 19, 11010, 88, 368, 2317, 720, 19, 346, 6313, 17, 22070, 19, 204, 2567, 86, 17, 332, 19, 415, 19, 480, 19, 355, 322, 1794, 6996, 789, 25531, 36961, 31, 332, 392, 27555, 23732, 39386, 4538, 15919, 19, 548, 8104, 36210, 19, 204, 2567, 2793, 17, 871, 19, 346, 19, 322, 36562, 789, 6881, 302, 23016, 323, 329, 48431, 9046, 39574, 19, 45972, 44288, 17, 11343, 19, 204, 40, 3409, 9646, 17, 472, 19, 502, 19, 322, 1794, 1258, 789, 8879, 39104, 311, 34808, 19, 39842, 929, 17, 11343, 19, 204, 40, 363, 476, 1128, 17, 332, 19, 322, 46709, 789, 332, 6881, 302, 5179, 48431, 6531, 19, 650, 6313, 17, 19804, 19, 204, 40, 363, 476, 1128, 17, 332, 19, 1754, 19, 322, 18357, 789, 3431, 2298, 10098, 671, 7017, 302, 5179, 48431, 6531, 19, 1621, 26120, 20002, 17, 565, 434, 17, 11981, 19, 204, 41, 36894, 17, 595, 19, 501, 19, 322, 46709, 789, 48431, 8887, 31, 334, 15040, 302, 5672, 14106, 329, 361, 23098, 88, 19, 4639, 302, 31868, 8931, 19, 204, 41, 350, 3435, 17, 332, 19, 1754, 19, 322, 37627, 789, 29477, 747, 392, 4339, 1026, 31, 1606, 880, 292, 275, 17472, 302, 48431, 19, 1628, 78, 19, 10224, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8931, 17, 34188, 19, 204, 41, 350, 3435, 17, 332, 19, 322, 43303, 789, 334, 41237, 48431, 19, 4639, 302, 10224, 8931, 17, 34188, 19, 204, 42, 612, 4949, 17, 502, 19, 322, 1794, 10128, 789, 334, 29477, 747, 329, 11814, 2351, 19, 42708, 2343, 18184, 17, 2991, 6751, 19, 204, 42, 612, 4949, 17, 502, 19, 322, 1794, 9162, 789, 48431, 329, 791, 3021, 19, 42708, 2343, 18184, 17, 2991, 6751, 19, 204, 42, 612, 4949, 17, 502, 19, 322, 1794, 5645, 789, 5672, 14106, 17, 412, 10623, 329, 5672, 2834, 543, 19, 42708, 2343, 18184, 17, 2991, 6751, 19, 204, 42, 612, 4949, 17, 502, 19, 322, 1794, 9769, 789, 17003, 18090, 329, 9186, 19, 39904, 4639, 8931, 17, 2991, 26436, 19, 204, 42, 612, 4949, 17, 502, 19, 322, 38832, 789, 24349, 329, 4116, 6853, 19, 39904, 4639, 8931, 19, 204, 42, 46770, 18, 31011, 1013, 17, 552, 19, 361, 19, 322, 1794, 6537, 789, 472, 29274, 13633, 329, 48431, 19, 472, 29274, 13633, 19, 18339, 322, 23, 789, 204, 42, 46770, 18, 31011, 1013, 17, 552, 19, 361, 19, 322, 1794, 9642, 789, 5608, 88, 329, 5672, 14106, 302, 18342, 6017, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 42, 46770, 18, 31011, 1013, 17, 552, 19, 361, 19, 322, 41800, 789, 5672, 14106, 329, 4116, 6853, 292, 39104, 329, 472, 29274, 13633, 19, 472, 29274, 13633, 19, 1607, 322, 23, 789, 204, 43, 271, 1876, 22692, 17, 871, 19, 322, 1794, 4920, 789, 334, 361, 23098, 17472, 302, 48431, 19, 4639, 302, 10224, 8931, 17, 34188, 19, 472, 441, 1375, 322, 1794, 1641, 789, 204, 43, 441, 1375, 17, 595, 19, 595, 19, 322, 1794, 1641, 789, 45880, 26982, 302, 275, 8517, 11988, 19, 204, 48788, 486, 17, 502, 19, 322, 1794, 7698, 789, 334, 24556, 936, 18, 44474, 323, 39182, 302, 48431, 6531, 19, 472, 29274, 13633, 19, 480, 8644, 322, 25, 659, 11157, 19, 204, 43, 5246, 9331, 17, 552, 19, 3772, 520, 19, 322, 1794, 6074, 789, 334, 8431, 16372, 945, 29325, 562, 302, 27747, 4560, 19, 18442, 4639, 8931, 17, 25845, 19, 204, 43, 5246, 9331, 17, 552, 19, 3772, 520, 19, 322, 1794, 9642, 789, 19054, 34808, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 18464, 7144, 17, 871, 19, 501, 19, 322, 1794, 1641, 789, 334, 25119, 565, 2460, 19, 12314, 16977, 291, 17, 11343, 19, 204, 18464, 7144, 17, 871, 19, 501, 19, 322, 1794, 4343, 789, 4560, 17, 5608, 329, 20522, 372, 3021, 19, 12314, 16977, 291, 17, 11343, 19, 204, 18464, 7144, 17, 871, 19, 501, 19, 322, 1794, 2188, 789, 5672, 14106, 302, 275, 29795, 302, 10209, 19, 11343, 19, 204, 18464, 7144, 17, 871, 19, 501, 19, 322, 1794, 3268, 789, 334, 25119, 565, 2460, 19, 12314, 16977, 291, 2343, 1212, 17, 11343, 19, 204, 18464, 7144, 17, 871, 19, 501, 19, 322, 1794, 4088, 789, 334, 25119, 565, 2460, 19, 12314, 16977, 291, 17, 11343, 19, 204, 43, 272, 728, 17, 387, 19, 322, 38134, 789, 334, 39182, 302, 412, 10623, 19, 204, 44, 7268, 17, 313, 19, 322, 1794, 7298, 789, 472, 29274, 13633, 19, 592, 31, 7383, 6881, 302, 472, 29274, 13633, 19, 472, 3279, 2343, 595, 17984, 668, 17, 2991, 6751, 19, 204, 44, 4890, 288, 17, 387, 19, 322, 1794, 8867, 789, 334, 471, 4029, 281, 20324, 31, 275, 25350, 20000, 302, 5904, 19, 23756, 2772, 278, 10665, 19, 1504, 9589, 59, 887, 19, 22, 19, 2991, 6751, 19, 204, 44, 509, 293, 17, 501, 19, 480, 19, 322, 1794, 7085, 789, 472, 29274, 13633, 448, 437, 22578, 8134, 19, 19938, 299, 5394, 8931, 17, 41652, 19, 204, 11537, 75, 17, 472, 19, 322, 36536, 789, 12509, 48431, 6531, 19, 18122, 40260, 4639, 8931, 17, 39308, 19, 204, 11537, 333, 705, 17, 595, 19, 322, 28936, 789, 8134, 448, 471, 9892, 19, 8134, 329, 23507, 19, 1233, 322, 22, 789, 204, 11537, 1405, 17, 361, 19, 322, 1794, 9642, 789, 334, 12509, 5672, 14106, 19, 628, 2319, 368, 2343, 435, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 11537, 1405, 17, 361, 19, 322, 1794, 7900, 789, 334, 13153, 5608, 29617, 19, 472, 44738, 2343, 472, 44738, 17, 11343, 19, 204, 11537, 1405, 17, 361, 19, 322, 1794, 9889, 789, 22587, 19, 2991, 15579, 1399, 277, 3431, 2298, 10098, 671, 7017, 302, 48431, 6531, 19, 12132, 31098, 17, 11343, 19, 204, 11537, 1405, 17, 361, 19, 2343, 415, 345, 78, 17, 361, 19, 322, 41800, 789, 23483, 5672, 14106, 31, 334, 6030, 302, 36822, 19, 332, 1268, 70, 20002, 17, 11343, 19, 204, 40794, 17, 480, 19, 552, 19, 1754, 19, 322, 1794, 1641, 789, 334, 48431, 6531, 302, 5610, 1393, 482, 19, 1598, 14827, 19, 2991, 6751, 19, 204, 36423, 13334, 17, 471, 19, 322, 28936, 789, 48431, 6531, 19, 9469, 9288, 20002, 17, 19841, 19, 204, 45, 44904, 17, 871, 19, 322, 1794, 7432, 789, 1158, 4975, 3614, 70, 311, 275, 15040, 302, 12509, 39104, 19, 346, 6313, 17, 22070, 19, 204, 45, 44904, 17, 871, 19, 322, 1794, 7085, 789, 1158, 4975, 3614, 70, 311, 275, 15040, 302, 12509, 39104, 322, 20424, 5329, 789, 346, 6313, 17, 22070, 19, 204, 45, 44904, 17, 871, 19, 322, 1794, 2353, 789, 27747, 5904, 329, 361, 23098, 19, 204, 45, 44904, 17, 871, 19, 322, 1794, 6074, 789, 334, 9423, 19, 6720, 5720, 8931, 17, 11343, 19, 204, 45, 514, 2706, 17, 471, 19, 387, 19, 322, 2132, 6655, 789, 334, 8134, 302, 23200, 94, 313, 6933, 19, 11343, 19, 204, 45, 912, 514, 17, 322, 1794, 3268, 789, 334, 23518, 302, 4560, 19, 11343, 19, 204, 45, 912, 514, 17, 322, 1794, 8532, 789, 334, 13499, 501, 4059, 48431, 19, 11343, 19, 204, 45, 6779, 486, 17, 387, 19, 552, 19, 322, 1794, 3268, 789, 48431, 329, 361, 23098, 19, 650, 6313, 17, 19804, 19, 204, 45, 6779, 486, 17, 387, 19, 552, 19, 322, 1794, 4049, 789, 334, 480, 8860, 44115, 19, 11343, 19, 204, 45, 6779, 486, 17, 387, 19, 552, 19, 322, 1794, 9287, 789, 3744, 94, 16723, 329, 33397, 1516, 39104, 19, 11343, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 204, 45, 6779, 486, 17, 387, 19, 552, 19, 322, 1794, 6537, 789, 14531, 19308, 48431, 6531, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 14426, 1486, 17, 387, 19, 471, 19, 322, 1794, 8667, 789, 334, 361, 23098, 9845, 302, 48431, 329, 275, 48431, 323, 19, 592, 31, 2135, 702, 2385, 322, 1794, 8667, 789, 204, 37507, 17, 471, 19, 650, 19, 322, 1794, 3268, 789, 10927, 48431, 329, 361, 23098, 19, 11343, 19, 204, 37507, 17, 471, 19, 650, 19, 322, 1794, 8369, 789, 334, 16476, 329, 5867, 302, 48431, 19, 472, 29274, 13633, 19, 15120, 322, 25, 789, 204, 47, 21527, 17, 871, 19, 322, 36562, 789, 3431, 2298, 10098, 671, 7017, 302, 5608, 88, 19, 1144, 2859, 14274, 705, 31082, 19, 204, 47, 3711, 17, 346, 19, 322, 1794, 6996, 789, 4560, 329, 7953, 4116, 6853, 19, 204, 47, 3711, 17, 346, 19, 322, 31587, 789, 8925, 2681, 17, 412, 10623, 17, 7623, 9812, 19, 204, 48, 47761, 17, 501, 19, 387, 19, 322, 37627, 789, 48431, 31, 12694, 39926, 329, 10860, 292, 27747, 329, 904, 346, 439, 981, 19, 346, 6313, 17, 34188, 17, 16926, 19, 204, 49, 13495, 17, 332, 19, 322, 1794, 9032, 789, 42167, 1389, 6517, 28071, 880, 329, 3431, 861, 41552, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 49, 651, 17, 332, 19, 322, 2132, 6304, 789, 5336, 329, 48431, 19, 11343, 19, 204, 49, 651, 17, 332, 19, 322, 2132, 7849, 789, 48431, 17, 361, 23098, 329, 39104, 19, 11343, 19, 204, 49, 651, 17, 332, 19, 322, 1794, 7432, 789, 12060, 3421, 352, 1679, 19, 11343, 19, 204, 49, 651, 17, 332, 19, 322, 1794, 2353, 789, 48431, 17, 361, 23098, 329, 39104, 19, 628, 2319, 368, 2343, 435, 19, 13432, 21860, 17, 11418, 2343, 1212, 19, 11343, 19, 204, 49, 651, 17, 332, 19, 322, 31587, 789, 48431, 17, 361, 23098, 329, 39104, 19, 628, 2319, 368, 2343, 435, 19, 25042, 17, 11343, 19, 204, 49, 913, 2581, 17, 361, 19, 322, 1794, 3534, 789, 5672, 14106, 17, 38413, 329, 26969, 19, 10004, 9439, 17, 19804, 19, 204, 5274, 2925, 18, 1671, 321, 20776, 17, 346, 19, 322, 1794, 9162, 789, 15867, 1788, 39386, 4538, 2546, 19, 11490, 20002, 17, 16926, 19, 204, 49, 4681, 18277, 17, 412, 19, 2343, 471, 2406, 17, 502, 19, 46864, 19, 322, 31745, 789, 3431, 2298, 10098, 671, 7017, 302, 31994, 39386, 4538, 2546, 19, 15797, 17175, 89, 17, 2991, 6751, 19, 204, 49, 4681, 94, 17, 501, 19, 322, 1794, 4553, 789, 334, 23588, 302, 48821, 19, 11343, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 1003, 789, 30352, 10860, 292, 6524, 25319, 387, 2431, 13827, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 4635, 789, 2026, 392, 5392, 26689, 19, 2991, 6751, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 5639, 789, 334, 6490, 1349, 3625, 329, 275, 16476, 302, 275, 6524, 25319, 27610, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 4920, 789, 6524, 25319, 47033, 3021, 19, 3300, 23560, 8931, 17, 19841, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 4920, 789, 334, 4087, 335, 302, 275, 6524, 25319, 19, 24037, 74, 727, 17, 2991, 6751, 19, 204, 49, 4681, 94, 18, 39, 1771, 26778, 17, 480, 19, 322, 1794, 9361, 789, 6524, 25319, 48431, 6531, 19, 4639, 302, 45487, 8931, 19, 204, 49, 1980, 360, 17, 871, 19, 322, 1794, 9579, 789, 39386, 4538, 2546, 39523, 9178, 19, 595, 19, 552, 19, 34207, 17, 11343, 19, 204, 49, 1980, 360, 17, 382, 19, 502, 19, 322, 1794, 6537, 789, 12060, 39386, 4538, 2546, 382, 15081, 10525, 19, 415, 36049, 17, 8705, 47406, 17166, 19, 204, 49, 1980, 360, 17, 565, 19, 361, 19, 322, 20497, 789, 361, 23098, 329, 29477, 13480, 623, 19, 387, 312, 1333, 30926, 17, 28710, 12861, 2834, 19, 204, 44008, 1333, 17, 346, 19, 322, 1794, 9783, 789, 334, 2991, 37767, 1026, 48431, 6531, 19, 4639, 302, 10224, 8931, 17, 34188, 19, 204, 22992, 71, 1035, 17, 332, 19, 322, 2132, 9361, 273, 789, 44854, 48431, 6531, 19, 334, 44854, 34523, 19, 1504, 8100, 19, 7356, 43708, 19, 6903, 19, 204, 22992, 71, 1035, 17, 332, 19, 322, 2132, 9361, 308, 789, 44854, 48431, 6531, 19, 334, 44854, 34523, 19, 1504, 40, 5526, 19, 7356, 43708, 19, 9815, 19, 204, 22992, 40, 335, 342, 366, 17, 871, 19, 332, 19, 322, 1794, 7298, 789, 472, 29274, 19523, 292, 472, 29274, 313, 6933, 19, 472, 29274, 13633, 19, 3382, 19, 204, 30770, 266, 17, 502, 19, 472, 19, 322, 1794, 5639, 789, 47517, 884, 88, 41237, 19, 9868, 6333, 516, 19, 628, 322, 2132, 659, 9815, 19, 204, 30770, 266, 32047, 17, 565, 19, 322, 1794, 1511, 789, 14014, 17, 8134, 329, 39104, 19, 11343, 19, 204, 30770, 266, 32047, 17, 565, 19, 322, 1794, 4343, 18, 1794, 5091, 789, 28750, 19, 592, 31, 3431, 2298, 10098, 671, 7017, 302, 12060, 18452, 17, 16926, 19, 204, 30770, 266, 32047, 17, 565, 19, 322, 1794, 4635, 789, 5672, 14106, 292, 6524, 25319, 29415, 19, 9591, 2262, 12971, 17, 11343, 19, 204, 50, 879, 7734, 17, 361, 19, 361, 19, 322, 1794, 8265, 789, 39386, 4538, 2546, 329, 275, 5297, 1154, 19, 19804, 19, 204, 50, 298, 549, 17, 332, 19, 387, 19, 322, 43303, 789, 17182, 884, 88, 17182, 292, 48431, 6531, 19, 24106, 291, 11840, 20002, 17, 2991, 6751, 19, 204, 6091, 1592, 48582, 17, 471, 19, 322, 10938, 789, 334, 8302, 20154, 302, 48431, 19, 7551, 94, 15579, 84, 347, 2343, 40052, 272, 387, 4949, 89, 18128, 17, 2991, 6751, 19, 204, 50, 298, 549, 17, 502, 19, 322, 5013, 14415, 334, 595, 8391, 346, 439, 292, 12921, 6017, 19, 204, 50, 298, 549, 17, 502, 19, 322, 1794, 8258, 789, 334, 45332, 8503, 292, 10676, 19, 11343, 19, 204, 51, 616, 94, 17, 501, 19, 322, 23087, 789, 4128, 48431, 444, 387, 5228, 19, 592, 8868, 272, 43860, 17, 501, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 2343, 21415, 3762, 17, 595, 19, 48431, 19, 4639, 302, 36046, 8931, 17, 31780, 9053, 19, 204, 52, 3185, 19, 322, 14882, 789, 19804, 5589, 6881, 17, 19804, 19336, 19, 204, 53, 441, 1128, 17, 565, 19, 565, 19, 322, 28936, 789, 40880, 48431, 19, 720, 427, 1754, 19, 415, 617, 623, 18085, 17, 16926, 19, 204, 1560, 453, 17, 628, 19, 322, 1794, 8667, 789, 502, 11396, 6531, 302, 275, 472, 29274, 530, 280, 19, 4639, 302, 14445, 8931, 17, 43715, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 3268, 789, 871, 912, 812, 70, 884, 88, 41942, 19, 26689, 375, 12901, 19, 11343, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 4462, 789, 334, 27463, 17, 332, 15040, 292, 43730, 17, 48431, 329, 23815, 365, 19, 11343, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 7298, 789, 334, 29795, 302, 39104, 19, 11343, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 9287, 789, 361, 23098, 302, 5468, 271, 344, 329, 18626, 32732, 17185, 19, 472, 29274, 13633, 19, 5737, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 4656, 789, 48431, 329, 361, 23098, 19, 11059, 302, 4719, 472, 29274, 13633, 19, 14300, 19, 204, 55, 616, 10387, 17, 13497, 19, 322, 1794, 8667, 789, 48431, 329, 361, 23098, 19, 592, 31, 2135, 702, 2385, 17, 322, 1794, 8667, 789, 204, 41040, 1013, 14111, 17, 595, 19, 322, 2132, 7946, 789, 27968, 981, 523, 275, 39104, 302, 275, 23174, 3379, 19, 10004, 17, 45960, 19, 204, 3047, 702, 2385, 17, 313, 19, 332, 19, 1754, 19, 322, 1794, 8667, 789, 48431, 31, 332, 4116, 324, 48341, 19, 36046, 4639, 8931, 19, 204, 3047, 14398, 17, 361, 19, 322, 24728, 789, 334, 276, 4616, 1465, 48431, 19, 4639, 302, 22868, 8931, 17, 204, 3047, 14398, 17, 361, 19, 322, 21343, 789, 48431, 31, 332, 31279, 17292, 10721, 19, 650, 6313, 17, 19804, 19, 204, 4872, 2005, 295, 17, 502, 19, 387, 19, 2343, 552, 409, 87, 8156, 17, 361, 19, 332, 19, 322, 1794, 9642, 789, 332, 6881, 302, 48431, 30432, 19, 31527, 7132, 17, 11343, 19, 204, 8212, 12460, 17, 472, 19, 322, 2132, 8369, 789, 34808, 302, 48431, 6531, 19, 204, 8273, 652, 17, 480, 19, 322, 1794, 3699, 789, 10721, 311, 48431, 6531, 19, 13275, 501, 19, 8705, 5388, 17, 11343, 19, 204, 8273, 652, 17, 480, 19, 322, 32638, 789, 10721, 311, 48431, 6531, 19, 25042, 17, 11343, 19, 204, 4167, 34721, 17, 387, 19, 322, 1794, 4656, 789, 5672, 14106, 329, 472, 29274, 530, 793, 19, 11059, 302, 4719, 472, 29274, 13633, 19, 15120, 2617, 204, 4167, 34721, 17, 387, 19, 322, 1794, 6074, 789, 334, 472, 29274, 530, 280, 19, 4639, 302, 10224, 8931, 17, 34188, 19, 204, 4167, 509, 1013, 17, 871, 19, 332, 19, 1144, 19, 322, 1794, 2300, 789, 16512, 292, 275, 48572, 15436, 19, 19804, 19, 204, 4167, 509, 1013, 17, 501, 19, 322, 1794, 7298, 789, 16512, 292, 27747, 12509, 12360, 19, 11343, 19, 204, 4167, 509, 1013, 17, 501, 19, 322, 1794, 6074, 789, 334, 6867, 25015, 21915, 88, 19, 34210, 2343, 48749, 514, 19, 11343, 19, 204, 4167, 509, 1013, 17, 501, 19, 322, 1794, 7900, 789, 332, 301, 366, 9779, 354, 329, 37463, 19, 34210, 2343, 48749, 514, 17, 11343, 19, 204, 57, 349, 274, 4878, 17, 392, 19, 322, 43303, 789, 334, 1301, 3305, 348, 6720, 5720, 19, 204, 25613, 6089, 17, 471, 19, 565, 19, 322, 2132, 9769, 789, 6524, 25319, 28750, 19, 628, 2319, 368, 2343, 435, 19, 43772, 17, 11343, 19, 204, 25613, 6089, 17, 471, 19, 565, 19, 322, 2132, 7900, 789, 39386, 4538, 2546, 19, 14268, 1333, 17, 2991, 6751, 19, 204, 2310, 5809, 270, 17, 552, 19, 322, 1794, 8532, 789, 14647, 4964, 2669, 94, 329, 275, 1621, 28705, 302, 275, 472, 46936, 20366, 19, 8934, 480, 640, 299, 17, 22535, 19, 204, 2310, 5809, 270, 17, 552, 19, 322, 1794, 4452, 789, 19054, 48431, 19, 11059, 302, 472, 29274, 13633, 10249, 19, 435, 322, 23, 789, 9815, 19, 204, 25647, 271, 17, 871, 19, 322, 39705, 789, 8879, 361, 23098, 311, 18867, 525, 19, 11343, 19, 204, 41, 34825, 756, 311, 2745, 14310, 415, 555, 1415, 6202, 48546, 311, 6635, 204, 416, 14973, 2745, 3205, 292, 34904, 329, 41343, 19, 204, 53, 341, 351, 6742, 3998, 1233, 19, 29, 19, 1794, 2985, 311, 887, 19, 22, 19, 46709, 19, 204, 5797, 302, 275, 32124, 1376, 292, 275, 3566, 4064, 928, 17469, 275, 5994, 302, 1838, 7540, 329, 1120, 444, 17, 292, 275, 667, 17, 497, 18723, 41343, 19, 38845, 657, 12493, 874, 1742, 1376, 448, 1068, 19409, 329, 1741, 508, 5438, 311, 275, 3610, 1068, 19, 0, 5842, 8546, 17, 4719, 12369, 44294, 28431, 501, 19, 501, 1282, 867, 22920, 292, 273, 32756, 17401, 43329, 2941, 5187, 275, 35719, 28165, 2080, 2842, 32112, 3483, 24600, 275, 4554, 19, 592, 275, 4876, 302, 275, 8546, 17, 566, 867, 306, 4756, 560, 469, 14485, 17, 819, 2374, 299, 329, 284, 18087, 630, 275, 11304, 19, 204, 6031, 9203, 336, 685, 302, 1704, 10554, 17, 4481, 523, 1704, 21119, 329, 9453, 1025, 275, 7497, 4308, 311, 1020, 685, 2075, 867, 19276, 19, 204, 7, 2841, 24866, 3420, 35719, 15553, 440, 1017, 502, 1845, 88, 17, 469, 14485, 329, 819, 2374, 299, 630, 275, 4316, 17, 20701, 1475, 2090, 7160, 5167, 566, 10571, 334, 871, 934, 514, 70, 5185, 630, 46278, 364, 4732, 4639, 1673, 3747, 19, 204, 7, 837, 1465, 7496, 3331, 275, 35719, 15553, 23281, 382, 867, 437, 4719, 329, 1250, 7988, 311, 19249, 1873, 329, 4070, 496, 8602, 4316, 440, 4130, 19, 204, 7, 13239, 3848, 3756, 275, 4554, 1813, 19, 3433, 3252, 1250, 1466, 7595, 348, 19984, 17, 7239, 1422, 867, 1236, 12487, 1422, 19, 3433, 3756, 275, 1813, 1101, 1250, 11076, 2964, 10353, 10080, 19, 3433, 11076, 2964, 5832, 9303, 329, 436, 979, 316, 523, 275, 10554, 329, 21119, 2090, 1250, 1376, 311, 770, 19, 4253, 292, 437, 4904, 1250, 1466, 17517, 5167, 566, 3252, 19, 204, 7, 46, 11076, 2964, 770, 10080, 19, 7054, 677, 275, 43064, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2620, 5167, 5904, 17, 448, 566, 353, 42964, 5175, 3250, 17, 3252, 19, 204, 673, 43064, 2620, 353, 1051, 302, 275, 11897, 18395, 8923, 560, 275, 10927, 29786, 9976, 3503, 1544, 322, 40, 6480, 659, 437, 4719, 1950, 18, 24088, 319, 12369, 18468, 7365, 440, 928, 5904, 869, 1742, 4636, 292, 36105, 3522, 18663, 19, 204, 673, 346, 6480, 13562, 448, 437, 8924, 14670, 17, 18062, 275, 7705, 995, 5792, 4238, 1855, 35719, 521, 43329, 12101, 19, 12320, 11660, 17, 5904, 9211, 311, 2474, 71, 1816, 329, 29261, 1422, 348, 2327, 5869, 19, 204, 7, 2841, 529, 5337, 496, 38973, 1784, 770, 397, 1704, 43064, 867, 22052, 19, 592, 273, 8642, 302, 13619, 17, 2842, 311, 874, 437, 7066, 14670, 1422, 17, 329, 275, 1880, 496, 770, 275, 13619, 2379, 1017, 2545, 26791, 17, 329, 1250, 2379, 496, 18000, 1250, 770, 1120, 444, 8316, 311, 275, 3022, 302, 275, 2688, 17, 2842, 496, 1120, 5695, 275, 13619, 5167, 566, 3252, 19, 204, 673, 31821, 302, 2545, 388, 70, 5624, 17, 28148, 548, 19, 56, 19, 21612, 528, 5904, 3252, 17, 353, 273, 24966, 19, 2474, 353, 9136, 302, 275, 3718, 496, 566, 353, 1698, 5096, 311, 636, 5501, 440, 1704, 27799, 1399, 13562, 292, 2474, 71, 1816, 17, 2090, 5202, 292, 275, 2501, 302, 437, 35719, 8857, 496, 14996, 311, 41164, 1282, 273, 43329, 6223, 17, 2404, 566, 869, 437, 4719, 18536, 292, 1704, 29463, 19, 204, 7, 46, 17169, 440, 496, 322, 33163, 340, 789, 334, 23764, 48909, 770, 508, 874, 448, 3171, 11110, 448, 572, 770, 17, 329, 8405, 1120, 444, 46831, 21417, 1194, 382, 3315, 292, 275, 1877, 8597, 5167, 566, 3252, 17, 5209, 566, 12551, 275, 548, 19, 56, 19, 867, 1085, 302, 275, 1844, 292, 275, 14531, 8934, 19, 204, 9528, 867, 9596, 292, 33584, 1330, 5179, 6482, 8392, 2080, 2842, 6911, 19, 33907, 292, 437, 10432, 1282, 5698, 17, 566, 867, 14720, 496, 388, 9344, 353, 508, 2075, 5608, 11237, 451, 311, 770, 2948, 204, 5039, 273, 1656, 566, 11712, 1465, 11297, 5936, 497, 12369, 25763, 302, 275, 3386, 37281, 17, 275, 18598, 5198, 3379, 329, 275, 11052, 302, 275, 10892, 427, 1268, 17, 830, 302, 928, 2886, 275, 346, 6480, 19, 204, 7, 32424, 25763, 4501, 14720, 496, 5024, 353, 273, 3698, 3168, 1236, 10927, 1856, 444, 273, 26426, 17, 329, 10010, 322, 36130, 659, 7, 566, 3252, 19, 204, 9528, 22251, 275, 4393, 448, 5608, 677, 1763, 302, 1950, 18, 24088, 652, 19, 3242, 273, 378, 27454, 1750, 726, 276, 17, 566, 867, 508, 16819, 336, 1025, 9604, 3158, 1882, 275, 26901, 6482, 19, 2474, 3756, 17, 5862, 17, 4151, 9037, 6171, 292, 12352, 329, 36406, 14644, 8687, 453, 1153, 35647, 19, 204, 6031, 5287, 12174, 275, 10167, 18, 9344, 6438, 1330, 566, 867, 292, 10692, 19, 2474, 10365, 4430, 440, 275, 47613, 19449, 30909, 8503, 329, 275, 9272, 7705, 6438, 19, 204, 7, 46, 874, 1742, 8205, 808, 348, 1048, 2753, 2181, 3303, 5167, 566, 3252, 19, 204, 9528, 5994, 448, 437, 13510, 23910, 292, 22101, 440, 1704, 14310, 17, 7240, 76, 1997, 17, 1415, 17, 448, 273, 4985, 302, 275, 346, 6480, 17, 1425, 5994, 4569, 5869, 302, 275, 1324, 292, 27512, 19, 204, 14884, 2590, 12736, 17, 5904, 7977, 273, 373, 26112, 3307, 19, 14341, 2016, 11804, 502, 410, 291, 17, 928, 6193, 275, 24803, 1516, 7619, 302, 5904, 677, 2016, 17, 334, 2474, 71, 1816, 11059, 31, 43865, 302, 11955, 18, 24088, 319, 29786, 18468, 17, 14266, 3850, 273, 14347, 4308, 1882, 1704, 9291, 292, 871, 934, 514, 70, 17, 1101, 5904, 15366, 311, 9291, 292, 502, 410, 291, 677, 10293, 19, 204, 837, 275, 11856, 302, 5904, 677, 2016, 17, 22101, 4639, 23779, 15631, 312, 595, 359, 21013, 1221, 84, 3252, 496, 24803, 1516, 15519, 2459, 292, 22101, 3667, 4371, 275, 11502, 677, 2941, 19, 204, 7, 36837, 4554, 353, 3060, 34692, 17, 2219, 348, 275, 8602, 292, 275, 548, 19, 56, 2458, 7, 566, 3252, 17, 5209, 496, 1330, 2459, 17066, 630, 5904, 677, 4554, 523, 273, 12347, 3911, 17, 275, 4719, 3175, 28712, 496, 275, 4554, 867, 388, 547, 3520, 37270, 299, 2948, 204, 673, 346, 6480, 17, 5904, 3252, 17, 353, 508, 273, 9737, 557, 7365, 19, 21918, 1704, 10927, 719, 71, 3548, 299, 17, 5904, 353, 3060, 20697, 37688, 10996, 904, 32313, 17, 2864, 41669, 329, 22246, 19, 2474, 22814, 275, 2765, 2501, 311, 21906, 275, 6733, 302, 1950, 18, 24088, 652, 353, 560, 7595, 348, 275, 6601, 302, 1950, 18, 24088, 652, 292, 2589, 8908, 329, 13082, 19, 204, 7, 3719, 382, 3315, 16482, 311, 273, 15519, 17, 382, 1120, 9023, 1465, 275, 6601, 302, 1950, 18, 24088, 652, 292, 22246, 19, 334, 1043, 2989, 2181, 302, 22246, 17, 22246, 867, 23919, 1950, 18, 24088, 319, 19, 4222, 370, 18, 33304, 867, 26525, 19, 36312, 21767, 4057, 391, 15535, 497, 275, 502, 979, 4453, 1880, 3168, 6202, 400, 10713, 756, 19, 37648, 652, 867, 3060, 2311, 5167, 566, 3252, 19, 204, 837, 1704, 12369, 18468, 6196, 292, 2474, 71, 1816, 17, 5904, 1043, 45861, 311, 830, 1009, 1027, 19, 204, 7, 46, 618, 5148, 273, 17527, 440, 872, 329, 3074, 275, 1502, 302, 1169, 35719, 329, 43329, 1009, 380, 2404, 382, 874, 10811, 3171, 690, 15620, 311, 1475, 19, 382, 874, 33071, 386, 292, 552, 8691, 13182, 17, 292, 472, 345, 77, 13182, 19, 382, 874, 437, 22249, 3633, 440, 830, 275, 35719, 1009, 1027, 3343, 204, 14884, 566, 4811, 2156, 496, 275, 36105, 18, 4947, 321, 404, 9422, 353, 18187, 7546, 292, 6797, 329, 508, 273, 10641, 9422, 17, 566, 1583, 508, 33577, 496, 490, 869, 1163, 6601, 329, 353, 2219, 32931, 560, 275, 15403, 292, 928, 5608, 17, 448, 275, 14351, 7319, 17, 2080, 32297, 275, 27191, 3623, 29530, 311, 1475, 19, 204, 7, 12950, 275, 9422, 9211, 1818, 311, 26817, 19, 334, 2501, 382, 1151, 275, 15403, 17, 5608, 11278, 496, 3623, 311, 275, 2804, 302, 26817, 19, 334, 2804, 302, 382, 823, 365, 404, 529, 1425, 275, 2804, 302, 26817, 19, 1547, 867, 508, 800, 17, 5575, 311, 275, 308, 1313, 17, 1698, 311, 275, 14351, 19, 204, 7, 2841, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 353, 273, 3060, 3287, 23143, 292, 36822, 5773, 32, 490, 5366, 1330, 26817, 10564, 38414, 329, 382, 823, 365, 404, 22877, 3850, 19, 3065, 1631, 444, 1429, 5568, 302, 3633, 521, 30560, 19189, 1283, 38414, 329, 382, 823, 365, 404, 19, 1547, 353, 3060, 3287, 348, 451, 311, 9356, 496, 23143, 5167, 566, 3252, 19, 204, 9528, 22814, 275, 1988, 348, 275, 9422, 292, 275, 3618, 353, 275, 5247, 302, 273, 2875, 1259, 292, 928, 14351, 17, 14032, 24898, 329, 22076, 529, 12331, 15963, 19, 2474, 5366, 566, 1583, 508, 3020, 275, 5247, 302, 273, 43329, 1259, 29967, 440, 275, 12278, 302, 275, 35719, 28165, 19, 204, 6031, 31293, 311, 275, 970, 15193, 292, 36105, 496, 20190, 618, 1698, 444, 23159, 4238, 329, 28918, 560, 8205, 3094, 19, 412, 17650, 17, 448, 275, 35719, 15553, 4809, 311, 7940, 17, 329, 13619, 17, 448, 275, 27284, 18497, 375, 3667, 30903, 311, 17, 1120, 1698, 25814, 39077, 20190, 17, 566, 3252, 19, 0, 14020, 7806, 302, 273, 17702, 204, 204, 5842, 18, 34243, 322, 2051, 14, 5301, 302, 24544, 353, 1376, 311, 24544, 292, 273, 13737, 22429, 19, 1752, 275, 1277, 329, 2198, 496, 5190, 1646, 1864, 19, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 275, 2631, 3979, 31, 204, 204, 3661, 677, 12091, 275, 1277, 302, 275, 4392, 448, 610, 329, 275, 2198, 448, 469, 19, 4682, 275, 1113, 1690, 302, 24544, 1376, 353, 1607, 5301, 17, 572, 618, 758, 719, 275, 1581, 31, 204, 204, 23, 93, 465, 435, 94, 289, 1607, 204, 204, 10714, 275, 1581, 17, 572, 636, 31, 204, 204, 93, 465, 469, 289, 2753, 204, 204, 673, 1864, 302, 275, 4392, 353, 800, 560, 275, 2089, 31, 204, 204, 38, 289, 11412, 204, 204, 8758, 469, 289, 2753, 338, 610, 1025, 275, 1864, 2089, 17, 572, 636, 31, 204, 204, 38, 289, 610, 13, 1719, 338, 610, 14, 204, 34, 2753, 93, 338, 610, 67, 23, 204, 204, 1449, 1020, 275, 1646, 1864, 17, 572, 618, 3074, 275, 5442, 302, 332, 440, 4130, 311, 610, 329, 758, 490, 1936, 311, 500, 31, 204, 204, 38, 12, 289, 2753, 338, 435, 93, 204, 34, 500, 204, 204, 11471, 348, 610, 17, 572, 636, 31, 204, 204, 93, 289, 2019, 204, 204, 1449, 3822, 3855, 808, 917, 15928, 311, 273, 1646, 521, 2311, 17, 572, 618, 3074, 275, 1350, 5442, 31, 204, 204, 38, 7848, 289, 338, 23, 204, 204, 4592, 332, 21586, 1511, 14, 289, 338, 23, 962, 500, 17, 572, 618, 13187, 496, 610, 289, 2019, 15928, 311, 273, 1646, 19, 204, 204, 4356, 17, 275, 1277, 329, 2198, 496, 5190, 275, 1646, 1864, 529, 610, 289, 2019, 5301, 329, 469, 289, 2019, 5301, 17, 6465, 292, 273, 1646, 1864, 302, 31, 204, 204, 38, 289, 11412, 204, 34, 322, 1511, 3085, 1511, 14, 204, 34, 37810, 2415, 5301, 204, 204, 11892, 17, 572, 618, 2616, 808, 1844, 2900, 974, 17098, 19, 4682, 610, 465, 469, 289, 2753, 17, 572, 618, 732, 275, 8047, 31, 204, 204, 93, 465, 469, 11253, 435, 16407, 3053, 14, 204, 204, 1834, 8047, 6401, 437, 14144, 1330, 610, 289, 469, 19, 6263, 17, 572, 618, 2281, 31, 204, 204, 1719, 11253, 435, 16407, 3053, 14, 204, 204, 10714, 275, 8047, 17, 572, 636, 31, 204, 204, 3053, 8103, 2019, 67, 23, 204, 34, 37810, 204, 204, 1834, 5913, 496, 275, 1646, 1864, 3459, 1330, 610, 289, 469, 289, 2019, 17, 6465, 292, 273, 1646, 1864, 302, 37810, 2415, 5301, 19, 0, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 4071, 275, 1034, 329, 6409, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 458, 64, 339, 2440, 332, 927, 1174, 275, 1034, 329, 275, 6409, 448, 273, 458, 302, 3258, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1034, 497, 275, 575, 204, 264, 1034, 289, 421, 13, 768, 499, 2101, 275, 1034, 31, 4091, 204, 204, 264, 314, 763, 275, 6409, 497, 275, 575, 329, 1814, 490, 311, 273, 458, 302, 3258, 204, 264, 4793, 68, 768, 289, 537, 499, 2101, 275, 6409, 322, 27124, 18, 7996, 3258, 330, 6165, 1590, 16327, 204, 264, 6409, 289, 551, 339, 13, 1271, 14, 348, 1184, 292, 4793, 68, 768, 66, 204, 204, 264, 407, 1034, 17, 6409, 204, 204, 204, 461, 949, 68, 10675, 68, 5747, 13, 772, 31, 421, 17, 6409, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 2234, 2347, 302, 273, 542, 10814, 2989, 4462, 19, 204, 204, 264, 457, 31, 204, 268, 1034, 322, 339, 330, 334, 1034, 542, 19, 204, 268, 6409, 322, 655, 64, 339, 1037, 334, 6409, 448, 273, 458, 302, 3258, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 722, 302, 275, 2234, 2347, 4183, 19, 204, 264, 320, 204, 264, 314, 977, 275, 722, 311, 368, 204, 264, 722, 289, 368, 204, 204, 264, 314, 1861, 1048, 848, 3717, 292, 275, 6409, 204, 264, 348, 3717, 292, 6409, 31, 204, 268, 314, 888, 275, 2234, 2347, 974, 275, 4355, 302, 16352, 7339, 204, 268, 314, 322, 70, 540, 308, 14, 1564, 300, 289, 5796, 70, 1564, 300, 14, 540, 322, 71, 1564, 300, 602, 1564, 300, 204, 268, 722, 289, 322, 13396, 13, 1300, 17, 931, 17, 2989, 4462, 14, 540, 7337, 13, 772, 17, 3717, 17, 2989, 4462, 602, 1564, 2989, 4462, 204, 204, 264, 407, 722, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 8290, 275, 537, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 537, 204, 264, 1034, 17, 6409, 289, 636, 68, 816, 68, 768, 374, 204, 204, 264, 314, 888, 275, 2234, 2347, 204, 264, 722, 289, 949, 68, 10675, 68, 5747, 13, 772, 17, 6409, 14, 204, 204, 264, 314, 1198, 275, 722, 204, 264, 456, 499, 673, 722, 302, 275, 2234, 2347, 4183, 353, 2180, 722, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 667, 374, 204, 0, 2920, 1051, 5698, 23159, 311, 6156, 14215, 884, 88, 12178, 7035, 1517, 84, 43165, 204, 50, 2797, 6763, 17, 1916, 9815, 10651, 3217, 18489, 17, 275, 15268, 348, 16770, 1212, 6211, 322, 4552, 40, 14, 11159, 273, 3697, 10346, 523, 1662, 273, 5698, 292, 23988, 784, 402, 17, 14215, 17, 7117, 2086, 311, 6156, 275, 22269, 302, 273, 25761, 5311, 6838, 14261, 1864, 329, 275, 2667, 302, 14044, 9644, 19, 204, 4931, 275, 346, 12801, 884, 88, 3685, 4879, 523, 3431, 16808, 5188, 1008, 322, 45684, 14, 1352, 17, 928, 12946, 311, 444, 6300, 1683, 275, 717, 7612, 15474, 1283, 11053, 17, 14215, 329, 275, 5269, 5439, 17, 275, 5698, 4073, 30122, 6005, 311, 8543, 329, 3566, 2667, 15888, 8077, 560, 17927, 6196, 6432, 2481, 2614, 275, 13979, 19, 548, 35177, 17, 2631, 11144, 302, 275, 387, 7460, 1352, 17, 275, 17927, 2661, 867, 7106, 19, 204, 990, 1834, 10346, 23100, 1662, 2842, 1051, 1874, 17, 521, 2842, 1051, 5698, 17, 869, 275, 2347, 311, 18715, 292, 275, 1352, 302, 16054, 275, 6639, 26639, 302, 8543, 3938, 292, 7136, 7266, 19, 334, 387, 7460, 1352, 353, 437, 23762, 2155, 323, 18768, 14285, 572, 874, 28377, 348, 1048, 2019, 2181, 496, 869, 3522, 1742, 17260, 292, 4569, 15367, 8924, 7612, 33432, 19, 1547, 1120, 2709, 437, 2755, 5910, 348, 9644, 348, 2181, 311, 3891, 4412, 3252, 17747, 34786, 17, 346, 12801, 33433, 19963, 19, 0, 2534, 422, 447, 3277, 9432, 560, 3576, 1484, 204, 204, 673, 9432, 560, 3576, 2089, 353, 800, 560, 1743, 339, 1859, 93, 68, 22, 5609, 93, 68, 23, 98, 75, 13, 93, 14, 76, 13, 93, 14, 4928, 289, 688, 1735, 64, 75, 13, 93, 6239, 339, 357, 13, 93, 14, 4992, 65, 1633, 47873, 93, 68, 22, 5609, 93, 68, 23, 98, 338, 688, 339, 1859, 93, 68, 22, 5609, 93, 68, 23, 2277, 1209, 96, 1695, 13, 93, 9844, 4928, 2277, 339, 357, 13, 93, 14, 4928, 4928, 2176, 204, 204, 673, 2717, 26547, 3855, 1422, 1856, 444, 273, 8042, 523, 275, 1743, 339, 357, 13, 93, 14, 4992, 9, 3099, 19, 334, 2073, 353, 1236, 17, 2404, 2075, 353, 1945, 353, 275, 37751, 302, 686, 76, 13, 93, 9852, 928, 353, 273, 741, 19, 204, 204, 1449, 3126, 808, 17, 9735, 275, 1351, 4090, 348, 12701, 31, 7269, 6504, 15795, 289, 283, 12, 76, 465, 17575, 12, 2176, 1058, 10600, 686, 6504, 289, 688, 339, 283, 12, 76, 4992, 465, 688, 339, 17575, 12, 4992, 2543, 329, 8405, 1743, 339, 17575, 12, 4992, 289, 17575, 338, 688, 339, 283, 12, 76, 4992, 2176, 204, 204, 3719, 572, 732, 19679, 19783, 17, 572, 636, 23280, 6504, 47873, 93, 68, 22, 5609, 93, 68, 23, 98, 289, 688, 339, 1859, 93, 68, 22, 5609, 93, 68, 23, 98, 75, 12, 76, 4992, 465, 688, 339, 1859, 93, 68, 22, 5609, 93, 68, 23, 98, 6504, 12, 4992, 2176, 32089, 496, 1855, 3099, 292, 1855, 44499, 88, 529, 2842, 3263, 19, 204, 204, 837, 275, 9432, 560, 3576, 2089, 17, 1743, 339, 357, 13, 93, 14, 4992, 9, 353, 275, 37751, 302, 686, 76, 13, 93, 9852, 928, 353, 273, 741, 19, 6263, 17, 1236, 10873, 529, 1945, 523, 275, 1743, 339, 357, 13, 93, 14, 4992, 9, 3099, 19, 204, 204, 673, 1706, 2089, 353, 31, 204, 204, 4292, 339, 1859, 93, 1859, 22, 38842, 93, 1859, 23, 3734, 75, 13, 93, 6239, 17, 76, 13, 93, 6239, 17, 4928, 6958, 14813, 76, 64, 75, 13, 93, 6239, 9870, 4733, 331, 3164, 339, 357, 13, 93, 6239, 17, 4928, 47320, 492, 96, 70, 741, 13982, 14813, 76, 47873, 93, 1859, 22, 38842, 93, 1859, 23, 3734, 6910, 339, 1859, 93, 1859, 22, 38842, 93, 1859, 23, 13982, 1209, 96, 1695, 13, 93, 9844, 4928, 2277, 9870, 4733, 331, 96, 688, 339, 357, 13, 93, 6239, 17, 4928, 47320, 492, 96, 70, 741, 13982, 17, 4928, 36517, 204, 204, 1834, 2089, 353, 10819, 497, 275, 1351, 4090, 348, 12701, 329, 353, 273, 7562, 5910, 348, 18680, 19679, 19783, 19, 0, 647, 3056, 204, 647, 2454, 204, 647, 690, 204, 204, 461, 838, 68, 2923, 13, 2463, 31, 394, 17, 2054, 31, 421, 14, 393, 3056, 19, 2794, 31, 204, 264, 320, 204, 264, 2605, 273, 1981, 3056, 329, 39548, 490, 311, 275, 1713, 2442, 329, 2054, 19, 204, 204, 264, 457, 31, 204, 268, 2442, 322, 325, 330, 334, 9571, 521, 3877, 1995, 311, 8523, 311, 19, 204, 268, 2054, 322, 339, 330, 334, 2054, 542, 311, 8523, 311, 19, 204, 204, 264, 475, 31, 204, 268, 3056, 19, 2794, 31, 334, 1966, 1981, 3056, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 3056, 726, 204, 264, 1981, 68, 2794, 289, 3056, 19, 2794, 13, 2794, 19, 10059, 68, 15961, 17, 3056, 19, 15071, 68, 17651, 14, 204, 615, 264, 314, 19221, 275, 3056, 311, 275, 1713, 2442, 329, 2054, 204, 264, 810, 31, 204, 268, 1981, 68, 2794, 19, 8357, 1802, 2463, 17, 2054, 602, 204, 264, 827, 3056, 19, 718, 448, 318, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 8523, 311, 463, 2463, 10829, 898, 2829, 463, 74, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 407, 1981, 68, 2794, 204, 204, 461, 2906, 68, 1723, 68, 2602, 13, 2923, 68, 2794, 31, 3056, 19, 2794, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 7348, 1545, 7369, 329, 3595, 19, 204, 204, 264, 457, 31, 204, 268, 1981, 68, 2794, 322, 2794, 19, 2794, 330, 334, 1981, 3056, 311, 12441, 523, 19, 204, 264, 320, 204, 264, 456, 499, 7134, 353, 11979, 348, 7348, 7369, 7862, 204, 264, 1981, 68, 2794, 19, 14632, 13, 22, 14, 204, 615, 264, 314, 21132, 437, 7348, 1545, 1727, 204, 264, 810, 31, 204, 268, 1545, 68, 2794, 17, 1995, 289, 1981, 68, 2794, 19, 11130, 374, 204, 268, 456, 13, 75, 1954, 2820, 98, 869, 4851, 311, 275, 1981, 329, 353, 7110, 7862, 204, 264, 827, 3056, 19, 718, 448, 318, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 6083, 1545, 1727, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31, 463, 74, 743, 204, 268, 407, 204, 615, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 943, 311, 275, 1545, 204, 305, 943, 289, 537, 499, 15770, 2810, 204, 305, 397, 943, 19, 3006, 374, 564, 388, 8289, 559, 204, 485, 456, 499, 40, 30956, 1727, 7862, 204, 485, 2280, 204, 305, 943, 289, 943, 19, 4170, 374, 204, 305, 1545, 68, 2794, 19, 3345, 13, 1454, 14, 204, 305, 456, 499, 5493, 869, 1742, 2312, 7862, 204, 3123, 305, 314, 12154, 273, 943, 497, 275, 1545, 204, 305, 7348, 68, 1454, 289, 1545, 68, 2794, 19, 12383, 13, 12958, 14, 204, 305, 397, 508, 7348, 68, 1454, 31, 204, 485, 456, 499, 3368, 869, 30509, 1280, 204, 485, 2280, 204, 305, 7348, 68, 1454, 289, 7348, 68, 1454, 19, 5286, 374, 204, 305, 456, 499, 3368, 2180, 7348, 68, 1454, 14, 204, 268, 827, 12121, 22134, 596, 31, 204, 305, 456, 499, 3368, 869, 30509, 1280, 204, 305, 2280, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 3129, 31, 463, 74, 743, 204, 305, 2280, 204, 615, 264, 314, 5706, 275, 1545, 3056, 204, 264, 1545, 68, 2794, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 2442, 289, 3056, 19, 45072, 374, 204, 264, 2054, 289, 17070, 4656, 204, 264, 456, 13, 75, 7, 7134, 1120, 1012, 523, 2442, 31, 463, 2463, 743, 204, 264, 456, 13, 75, 7, 7134, 1120, 1012, 523, 2054, 31, 463, 898, 743, 204, 615, 264, 314, 666, 273, 1981, 3056, 204, 264, 1981, 68, 2794, 289, 838, 68, 2923, 13, 2463, 17, 2054, 14, 204, 615, 264, 314, 1426, 1545, 7369, 204, 264, 2906, 68, 1723, 68, 2602, 13, 2923, 68, 2794, 14, 204, 615, 264, 314, 5706, 275, 1981, 3056, 204, 264, 1981, 68, 2794, 19, 3529, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 17, 1061, 204, 647, 2821, 204, 531, 4433, 532, 824, 17, 5908, 17, 2111, 68, 3143, 204, 204, 461, 636, 68, 8086, 68, 2226, 13, 8086, 68, 481, 31, 1061, 17, 2992, 31, 783, 64, 996, 694, 393, 783, 64, 1665, 744, 204, 264, 320, 204, 264, 763, 7114, 2048, 1609, 523, 2992, 19, 204, 204, 264, 457, 31, 204, 268, 7114, 68, 481, 322, 1665, 330, 6881, 1174, 7114, 2048, 19, 204, 268, 2992, 322, 1218, 64, 996, 1037, 28716, 311, 1813, 348, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 744, 783, 302, 7114, 2048, 7535, 275, 2992, 19, 204, 264, 320, 204, 264, 314, 778, 397, 7114, 68, 481, 521, 2992, 529, 1392, 521, 443, 204, 264, 397, 508, 7114, 68, 481, 521, 508, 2992, 31, 204, 268, 407, 1306, 204, 204, 264, 314, 977, 2558, 311, 1640, 275, 8462, 2648, 329, 1163, 1759, 204, 264, 8462, 68, 3995, 289, 443, 204, 264, 8462, 68, 3174, 289, 818, 611, 3643, 534, 204, 204, 264, 314, 1861, 1048, 848, 2648, 292, 275, 7114, 424, 204, 264, 348, 2648, 292, 7114, 68, 481, 19, 505, 611, 2226, 491, 24311, 204, 268, 314, 763, 275, 1728, 348, 275, 790, 2648, 204, 268, 1728, 289, 2648, 19, 505, 611, 11972, 491, 14826, 505, 611, 5099, 491, 10336, 64, 21, 66, 204, 204, 268, 314, 1861, 1048, 848, 917, 292, 275, 2648, 204, 268, 348, 917, 292, 1728, 31, 204, 305, 314, 778, 397, 275, 917, 4083, 275, 800, 2992, 204, 305, 397, 322, 3394, 19, 37859, 13, 1096, 64, 22, 648, 2992, 64, 21, 648, 7041, 68, 8274, 34, 24, 74, 18, 25, 14, 329, 204, 895, 2821, 19, 37859, 13, 1096, 64, 21, 648, 2992, 64, 22, 648, 7041, 68, 8274, 34, 24, 74, 18, 25, 4019, 204, 485, 314, 888, 275, 1759, 1283, 275, 917, 329, 275, 2992, 204, 485, 1759, 289, 2821, 19, 75, 4977, 13, 1096, 64, 22, 66, 338, 2992, 64, 21, 694, 465, 2821, 19, 75, 4977, 13, 1096, 64, 21, 66, 338, 2992, 64, 22, 694, 204, 204, 485, 314, 1716, 275, 8462, 2648, 397, 275, 790, 1759, 353, 5406, 204, 485, 397, 1759, 962, 8462, 68, 3174, 31, 204, 895, 8462, 68, 3174, 289, 1759, 204, 895, 8462, 68, 3995, 289, 2648, 204, 204, 264, 314, 977, 275, 407, 3599, 440, 275, 8462, 2648, 204, 264, 407, 68, 5763, 289, 551, 19764, 68, 3995, 66, 397, 8462, 68, 3995, 902, 1306, 204, 204, 264, 314, 828, 273, 8462, 2648, 867, 1193, 17, 881, 904, 2048, 440, 275, 1729, 379, 44, 1119, 1888, 13957, 51, 12, 4355, 204, 264, 397, 8462, 68, 3995, 329, 8462, 68, 3995, 19, 505, 611, 6664, 491, 14826, 505, 611, 44, 1119, 1888, 13957, 51, 4448, 204, 268, 348, 2648, 292, 7114, 68, 481, 19, 505, 611, 2226, 491, 24311, 204, 305, 397, 322, 3995, 19, 505, 611, 6664, 491, 14826, 505, 611, 44, 1119, 1888, 13957, 51, 534, 564, 204, 895, 8462, 68, 3995, 19, 505, 611, 6664, 491, 14826, 505, 611, 44, 1119, 1888, 13957, 51, 25843, 204, 485, 407, 68, 5763, 19, 1223, 13, 3995, 14, 204, 204, 264, 407, 407, 68, 5763, 204, 204, 37, 748, 19, 3955, 4195, 1608, 19, 2079, 491, 2986, 4980, 4252, 491, 379, 5016, 2378, 204, 461, 2304, 1293, 204, 264, 397, 824, 19, 1939, 564, 379, 5016, 597, 204, 268, 407, 2111, 68, 3143, 611, 1608, 19, 2079, 534, 204, 264, 902, 31, 204, 268, 424, 289, 824, 19, 505, 68, 1775, 374, 204, 268, 2992, 289, 424, 19, 505, 611, 11972, 491, 14826, 505, 611, 5099, 534, 204, 268, 7114, 68, 481, 289, 2552, 2226, 597, 551, 42260, 1211, 226, 314, 4546, 440, 2641, 7114, 424, 204, 268, 7114, 68, 2226, 289, 636, 68, 8086, 68, 2226, 13, 8086, 68, 481, 17, 2992, 14, 204, 268, 407, 5908, 13, 8086, 68, 2226, 14, 204, 0, 1449, 1020, 685, 1415, 25811, 46366, 24716, 17, 4569, 1987, 874, 311, 444, 11799, 19, 592, 3718, 17, 1422, 1466, 2219, 10033, 29715, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 496, 1043, 6900, 719, 440, 275, 6733, 302, 273, 46366, 24716, 329, 1856, 1425, 444, 6028, 1330, 16482, 302, 275, 1043, 46366, 24716, 21538, 19, 204, 31958, 4627, 496, 292, 1916, 9579, 17, 14083, 28947, 867, 275, 1051, 1415, 25811, 46366, 24716, 46789, 1335, 9221, 311, 1895, 25441, 4009, 685, 302, 556, 1548, 19, 592, 275, 1729, 1324, 41440, 964, 14437, 355, 22525, 36021, 2080, 12009, 28947, 311, 437, 9764, 16439, 46072, 3821, 4768, 497, 275, 46072, 478, 6295, 2192, 19, 334, 10033, 6903, 640, 2080, 3811, 19180, 275, 1729, 46072, 928, 867, 5287, 3556, 448, 556, 1548, 19, 3355, 17, 28947, 17, 6028, 275, 1043, 46366, 24716, 21538, 17, 867, 37933, 630, 10657, 556, 1548, 1025, 25441, 4009, 2090, 35749, 17, 710, 5032, 17, 329, 25400, 19, 204, 48713, 17, 28947, 24479, 6183, 302, 46366, 275, 3811, 23735, 3821, 292, 1704, 11484, 329, 1193, 490, 43223, 19, 2474, 4327, 18307, 311, 490, 329, 867, 9759, 14219, 275, 20837, 6388, 32764, 292, 1916, 9769, 292, 9680, 43632, 19, 1547, 867, 10068, 348, 273, 45982, 841, 6285, 19, 2474, 1425, 11771, 273, 24716, 9381, 292, 2991, 6751, 292, 275, 1729, 1324, 19, 204, 837, 1916, 5303, 17, 28947, 7758, 1704, 36919, 20837, 6388, 313, 312, 13063, 18, 43, 87, 312, 13063, 440, 275, 732, 302, 376, 3439, 14452, 19, 4171, 1466, 4481, 292, 860, 4386, 12417, 292, 2991, 6751, 19, 9419, 17, 275, 46366, 24716, 867, 3284, 7758, 329, 8106, 12537, 1491, 19, 28947, 17, 275, 1064, 1415, 25811, 46366, 24716, 17, 2927, 1910, 4883, 19612, 311, 275, 4383, 302, 808, 16323, 3811, 23735, 23153, 2189, 754, 496, 566, 353, 6028, 275, 1043, 46366, 24716, 21538, 19, 204, 6192, 565, 19, 6393, 35889, 204, 837, 1916, 4553, 17, 275, 40315, 8257, 29283, 501, 328, 497, 39226, 15580, 292, 275, 6223, 19, 1058, 867, 29660, 329, 10068, 560, 6901, 565, 19, 6393, 35889, 19, 6393, 35889, 353, 3161, 588, 311, 2506, 1330, 8993, 302, 1415, 25811, 46366, 24716, 19, 5120, 4576, 17, 275, 7136, 4719, 20576, 2080, 3811, 19180, 46072, 497, 21674, 92, 1474, 329, 1573, 29283, 19, 25926, 17, 4719, 28165, 10891, 275, 9753, 19, 592, 34739, 6393, 35889, 6183, 302, 5209, 18307, 1025, 709, 5042, 266, 32764, 19, 43078, 17, 275, 709, 5042, 266, 32764, 1466, 14219, 1182, 1194, 1573, 29283, 32764, 19, 1058, 15285, 5814, 1704, 588, 9631, 8633, 299, 1330, 16482, 302, 275, 1043, 46366, 24716, 21538, 19, 204, 39538, 10480, 6455, 2135, 527, 204, 5681, 490, 7336, 311, 25577, 299, 273, 46366, 24716, 1351, 17, 275, 588, 311, 2506, 353, 12247, 10480, 6455, 2135, 527, 19, 2474, 3756, 808, 523, 11157, 4662, 17, 1916, 9579, 17, 275, 1729, 1324, 28947, 6911, 46366, 24716, 19, 2135, 527, 9047, 19899, 719, 1273, 28947, 1824, 2258, 3217, 1947, 1051, 1415, 25811, 46366, 24716, 19, 204, 837, 34371, 17, 8965, 6900, 719, 440, 437, 6733, 523, 1662, 311, 1895, 275, 24716, 18307, 1673, 6397, 1335, 2545, 3811, 19180, 19, 1547, 867, 6901, 2656, 2262, 1415, 6900, 719, 440, 808, 6733, 19, 0, 7637, 416, 15815, 2991, 43177, 204, 673, 17992, 302, 2991, 43177, 1308, 437, 15548, 37289, 2481, 348, 3153, 5337, 496, 4260, 13181, 311, 2709, 4213, 17, 521, 874, 7493, 26564, 1025, 275, 5378, 19, 13448, 1361, 20603, 17, 26613, 951, 13245, 17, 329, 275, 38108, 1387, 302, 13200, 1325, 9996, 25221, 560, 7591, 710, 3329, 830, 34804, 275, 1259, 329, 758, 275, 5665, 348, 1910, 273, 3221, 12092, 19, 8278, 572, 884, 358, 13666, 1429, 302, 275, 39763, 14830, 17, 329, 3667, 35909, 17, 19891, 292, 275, 1259, 19, 204, 32424, 12056, 1924, 6939, 9020, 2834, 1993, 618, 39407, 1025, 275, 4362, 44240, 341, 31263, 391, 16883, 884, 311, 1020, 275, 42776, 302, 2075, 6644, 311, 444, 273, 28668, 19, 334, 10581, 641, 1749, 329, 20619, 3871, 19026, 311, 25239, 496, 1236, 6397, 1337, 529, 6327, 275, 40922, 1372, 302, 273, 5602, 12892, 4554, 5082, 560, 17679, 341, 9868, 1314, 15036, 31263, 391, 19, 332, 303, 17123, 329, 32604, 497, 2991, 6751, 8187, 1415, 15431, 8873, 18448, 523, 361, 41666, 83, 1442, 24313, 292, 22265, 17, 17679, 341, 31263, 391, 5082, 275, 28668, 292, 45137, 329, 9295, 6802, 3556, 348, 2830, 15193, 329, 275, 44783, 7531, 302, 273, 3765, 1947, 81, 2545, 1523, 685, 302, 275, 4554, 19, 334, 28668, 24364, 1873, 292, 37294, 1877, 17466, 1025, 940, 47012, 17, 1101, 275, 6786, 12733, 1880, 497, 830, 1048, 275, 1259, 19, 32980, 302, 27347, 447, 9094, 1307, 375, 529, 14714, 1698, 560, 3221, 12092, 19, 204, 9562, 447, 5082, 719, 448, 273, 1361, 16711, 17, 41006, 9859, 39052, 17, 292, 18342, 6890, 1004, 271, 11151, 17, 353, 3303, 275, 7157, 302, 273, 27347, 9505, 19, 334, 11773, 874, 1742, 304, 7924, 11977, 560, 275, 8180, 17, 329, 275, 1698, 6786, 302, 275, 4013, 329, 2347, 7055, 17, 5602, 6837, 311, 3307, 1422, 17, 529, 813, 333, 9811, 12540, 329, 30268, 19, 334, 9505, 32529, 28601, 292, 44788, 1101, 490, 2080, 1742, 1392, 3522, 40252, 19, 35193, 871, 42902, 28533, 275, 5378, 329, 3113, 302, 275, 15400, 292, 437, 4466, 1722, 3530, 872, 618, 1020, 3237, 19, 204, 49, 1081, 6354, 78, 32674, 204, 673, 2991, 10676, 44262, 6354, 78, 32674, 6761, 3330, 25033, 9400, 292, 2991, 43177, 17, 1910, 302, 1475, 2637, 18767, 16530, 4549, 928, 874, 12262, 1873, 292, 275, 3469, 302, 5658, 30903, 88, 19, 5860, 302, 1475, 874, 1742, 4611, 298, 6100, 348, 20343, 299, 521, 14498, 6975, 2655, 17, 1101, 348, 1901, 1085, 275, 1698, 1574, 1250, 1466, 7921, 1422, 353, 273, 10259, 302, 717, 5815, 329, 273, 2637, 3981, 302, 23848, 11773, 19, 204, 673, 4208, 793, 302, 2541, 84, 1493, 204, 673, 4208, 793, 302, 2541, 84, 1493, 37284, 13441, 311, 2991, 43177, 19, 3433, 529, 275, 1259, 884, 88, 1698, 9254, 2263, 18165, 17, 1101, 1017, 21611, 867, 10076, 756, 17, 6469, 560, 11918, 375, 1415, 12283, 21970, 311, 2761, 18893, 311, 13169, 19, 16704, 756, 931, 6172, 2258, 275, 10828, 302, 9182, 5226, 3611, 17, 36834, 17, 329, 4581, 292, 4315, 560, 275, 39226, 18, 6001, 43177, 1259, 1007, 17, 275, 18165, 529, 3667, 275, 5465, 348, 11556, 302, 3221, 31334, 675, 329, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1422, 353, 1182, 1194, 1051, 32648, 302, 26333, 2545, 22877, 523, 1017, 48608, 19, 4596, 4935, 17, 275, 1901, 12178, 27697, 353, 275, 28550, 329, 15039, 31573, 1257, 2767, 70, 41753, 17, 275, 16657, 302, 273, 317, 42254, 3122, 11473, 329, 4744, 35135, 310, 276, 302, 275, 1736, 1153, 573, 28176, 17, 928, 24364, 1873, 292, 35383, 19, 6234, 867, 1425, 8033, 292, 275, 387, 3832, 605, 39831, 23250, 11827, 329, 10869, 437, 1747, 302, 275, 15739, 928, 353, 273, 47868, 4998, 311, 2830, 13832, 5378, 13232, 25376, 19, 9419, 17, 1698, 17920, 13940, 869, 12537, 7863, 329, 1422, 529, 3060, 4542, 16619, 16020, 1824, 523, 1605, 18827, 353, 793, 19, 204, 39, 514, 35756, 884, 88, 5443, 416, 15815, 2672, 5403, 204, 19243, 5955, 17422, 6802, 20441, 17, 275, 14067, 3576, 302, 275, 1259, 1466, 16149, 13996, 560, 273, 7458, 29518, 1561, 19, 2135, 291, 27578, 6455, 10921, 437, 26613, 951, 2147, 523, 275, 13245, 4789, 40823, 9646, 4275, 366, 808, 11660, 17, 329, 566, 10342, 451, 273, 5751, 3267, 344, 523, 275, 6797, 302, 26613, 5337, 19, 204, 3719, 26613, 20004, 353, 1214, 7936, 17, 4006, 2964, 17556, 311, 1356, 685, 2077, 2248, 18042, 311, 20386, 27347, 20603, 17, 497, 26613, 19468, 311, 27984, 33467, 48635, 88, 19, 0, 29764, 565, 1121, 270, 11859, 1284, 2677, 3845, 61, 31, 1185, 39, 14, 18865, 1111, 4411, 921, 1371, 232, 4035, 3169, 3362, 7388, 40878, 17750, 2889, 128, 18005, 26483, 6653, 9674, 568, 204, 6606, 4239, 25725, 11152, 6551, 10774, 5211, 2093, 6232, 13, 8253, 18, 22, 1227, 8253, 18, 23, 14, 1227, 7115, 12703, 46365, 13406, 1432, 1490, 2114, 6232, 13, 38461, 14, 1955, 10644, 13679, 408, 35107, 28554, 11796, 10884, 3654, 9061, 568, 204, 8957, 11796, 2114, 3654, 9061, 9595, 2093, 921, 6776, 1398, 20057, 10528, 2051, 27133, 460, 2889, 128, 18005, 408, 2823, 1638, 26311, 1946, 30070, 1524, 20057, 10528, 2825, 27133, 460, 2889, 128, 18005, 1227, 4402, 47373, 6633, 568, 204, 8957, 11796, 2114, 3654, 9061, 27255, 2114, 2148, 2359, 18543, 7782, 27, 19, 3222, 7692, 4228, 2353, 28118, 460, 8643, 1929, 5057, 13, 51, 14103, 14, 10774, 2677, 10158, 1946, 408, 1168, 4228, 1003, 10, 460, 9414, 12256, 1929, 4562, 10412, 1227, 1909, 19, 22, 10, 460, 14843, 40297, 13, 9481, 55, 23215, 204, 29764, 565, 1121, 270, 37214, 408, 40878, 17750, 460, 17619, 45166, 2148, 47176, 26684, 36079, 8446, 7833, 2889, 128, 18005, 5182, 1191, 15313, 2426, 1511, 3028, 568, 204, 8310, 9061, 9595, 2093, 9414, 2889, 128, 18005, 7744, 19017, 1189, 4126, 16362, 24116, 16141, 408, 16626, 408, 4945, 7744, 22486, 1524, 4126, 16362, 25, 3534, 16141, 408, 2499, 2678, 8643, 1929, 5057, 9145, 4228, 6074, 24, 16141, 408, 2253, 14843, 40297, 20742, 1390, 17171, 1524, 1845, 19, 26, 12899, 204, 4262, 2698, 1258, 19, 30, 28118, 460, 17619, 36108, 2499, 13444, 26323, 37439, 408, 8957, 4262, 36108, 2807, 4239, 2426, 37214, 460, 1909, 28118, 4323, 408, 5017, 1002, 7782, 12164, 17619, 568, 204, 11859, 19844, 3865, 19517, 17354, 11569, 5241, 11900, 12164, 9580, 37214, 921, 4126, 16362, 30147, 16141, 568, 204, 11796, 2114, 3654, 9674, 11319, 18527, 1111, 663, 232, 4895, 31833, 460, 11152, 6551, 10774, 5211, 2093, 6232, 322, 8253, 18, 22, 1227, 8253, 18, 23, 14, 1227, 13406, 1432, 1490, 2114, 6232, 13, 38461, 14, 460, 44250, 568, 204, 4296, 9674, 942, 10971, 46590, 2122, 3730, 1984, 204, 18, 226, 7238, 1565, 1227, 9827, 9399, 6142, 6055, 1254, 20057, 10528, 2051, 27133, 2889, 128, 18005, 460, 13587, 3590, 408, 11463, 48918, 35503, 4664, 408, 2823, 1638, 21268, 1565, 9228, 20057, 2051, 27133, 460, 11962, 4664, 568, 204, 18, 226, 21268, 1565, 1227, 30538, 9399, 6142, 44948, 20057, 19267, 10528, 2051, 27133, 4402, 47373, 6633, 460, 13587, 3590, 408, 2823, 1638, 37513, 48918, 3590, 30070, 26483, 4664, 408, 46498, 1565, 9145, 4228, 20057, 2825, 27133, 460, 11962, 4664, 568, 204, 2110, 4736, 3235, 2499, 7452, 25019, 12166, 2773, 2110, 4736, 2337, 568, 204, 10528, 13261, 2499, 2526, 921, 40878, 17750, 408, 29764, 565, 1121, 270, 2499, 10366, 725, 9813, 2823, 8830, 13430, 4411, 7413, 30183, 408, 8695, 7782, 32048, 24981, 6128, 3455, 11859, 2831, 47204, 10265, 4304, 460, 23707, 408, 23676, 2021, 553, 9288, 32048, 18127, 13261, 568, 204, 29764, 565, 1121, 270, 11409, 2065, 1371, 232, 4035, 3169, 3362, 7388, 6233, 11859, 1284, 2774, 2677, 1888, 6200, 2328, 2653, 1970, 14905, 40878, 17750, 5182, 4915, 5972, 24379, 3590, 45338, 568, 204, 6606, 7115, 41138, 12816, 408, 37214, 1888, 6200, 2328, 1227, 29764, 565, 1121, 270, 3359, 3617, 1719, 10, 460, 17772, 408, 5017, 14781, 11900, 9580, 3571, 29764, 565, 1121, 270, 18732, 568, 204, 3136, 3606, 6232, 6776, 1638, 14768, 9399, 5335, 20539, 408, 6225, 8088, 9486, 7814, 568, 204, 8185, 921, 46350, 20833, 16117, 3362, 32577, 13406, 1432, 1490, 2114, 6232, 29429, 3235, 408, 29764, 565, 1121, 270, 6225, 39825, 28642, 28, 20539, 6817, 3463, 460, 1258, 14881, 2110, 4736, 33334, 460, 2110, 4924, 5659, 568, 204, 3136, 3606, 3235, 9516, 6564, 10644, 5182, 408, 2278, 7118, 5932, 19908, 725, 42122, 26703, 2526, 4698, 1227, 2321, 2791, 42122, 2526, 4698, 460, 14890, 2093, 2065, 8182, 14590, 725, 4127, 1227, 3560, 8566, 3235, 19726, 3590, 1191, 568, 204, 29764, 565, 1121, 270, 226, 22461, 2065, 13147, 19743, 19765, 21332, 25869, 6443, 460, 35330, 18968, 7371, 568, 204, 14768, 1565, 1258, 36507, 408, 35107, 9813, 29606, 5727, 2132, 1719, 4330, 18212, 3820, 568, 204, 0, 676, 36502, 10111, 2953, 31, 204, 264, 320, 204, 264, 332, 850, 440, 2986, 311, 3142, 9991, 497, 273, 2282, 458, 292, 18, 1721, 19, 204, 264, 320, 204, 204, 264, 436, 3142, 68, 14894, 13, 327, 17, 7093, 31, 458, 64, 339, 694, 393, 421, 31, 204, 268, 320, 204, 268, 8847, 9991, 497, 273, 2282, 458, 292, 18, 1721, 329, 2584, 275, 717, 1277, 19, 204, 204, 268, 457, 31, 204, 268, 7093, 322, 655, 64, 339, 1037, 332, 2282, 458, 302, 1892, 19, 204, 204, 268, 475, 31, 204, 268, 421, 31, 334, 717, 1277, 302, 275, 458, 1877, 7057, 9991, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 869, 500, 521, 368, 1842, 17, 490, 677, 2861, 2220, 204, 268, 397, 1245, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 8586, 14, 2186, 368, 31, 204, 305, 407, 1245, 13, 8586, 14, 204, 204, 268, 314, 977, 970, 13857, 17, 1051, 348, 4488, 329, 1051, 348, 4695, 204, 268, 2281, 68, 998, 289, 368, 204, 268, 348, 1151, 68, 998, 292, 933, 13, 22, 17, 1245, 13, 8586, 4019, 204, 305, 314, 828, 275, 790, 1103, 353, 1792, 497, 275, 3090, 1051, 17, 2281, 490, 204, 305, 397, 7093, 64, 976, 68, 998, 66, 2167, 7093, 64, 976, 68, 998, 338, 368, 744, 204, 485, 7093, 64, 2206, 68, 998, 66, 289, 7093, 64, 976, 68, 998, 66, 204, 485, 2281, 68, 998, 1412, 368, 204, 204, 268, 314, 455, 275, 717, 1277, 302, 275, 458, 204, 268, 407, 2281, 68, 998, 204, 204, 264, 436, 3142, 68, 14894, 68, 32809, 13, 327, 17, 7093, 31, 458, 64, 339, 694, 393, 421, 31, 204, 268, 320, 204, 268, 8847, 9991, 497, 273, 2282, 458, 292, 18, 1721, 329, 2584, 275, 717, 1277, 19, 204, 204, 268, 457, 31, 204, 268, 7093, 322, 655, 64, 339, 1037, 332, 2282, 458, 302, 1892, 19, 204, 204, 268, 475, 31, 204, 268, 421, 31, 334, 717, 1277, 302, 275, 458, 1877, 7057, 9991, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 869, 500, 521, 368, 1842, 17, 490, 677, 2861, 2220, 204, 268, 397, 1245, 13, 8586, 14, 2186, 368, 31, 204, 305, 407, 1245, 13, 8586, 14, 204, 204, 268, 314, 977, 970, 13857, 17, 1051, 348, 4488, 329, 1051, 348, 4695, 204, 268, 2281, 68, 998, 289, 368, 204, 268, 1151, 68, 998, 289, 368, 204, 204, 268, 314, 13818, 1924, 275, 458, 3119, 275, 1151, 9311, 14169, 275, 1136, 204, 268, 1335, 1151, 68, 998, 962, 1245, 13, 8586, 330, 204, 305, 314, 828, 275, 790, 1103, 353, 1792, 497, 275, 3090, 1051, 17, 2281, 490, 204, 305, 397, 7093, 64, 2206, 68, 998, 338, 368, 66, 962, 7093, 64, 976, 68, 998, 744, 204, 485, 7093, 64, 2206, 68, 998, 66, 289, 7093, 64, 976, 68, 998, 66, 204, 485, 2281, 68, 998, 1412, 368, 204, 305, 314, 5360, 275, 1151, 9311, 4533, 204, 305, 1151, 68, 998, 1412, 368, 204, 204, 268, 314, 455, 275, 717, 1277, 302, 275, 458, 204, 268, 407, 2281, 68, 998, 204, 204, 204, 8, 3338, 683, 3467, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 683, 458, 204, 264, 683, 68, 655, 289, 551, 22, 17, 368, 17, 435, 17, 435, 17, 435, 17, 435, 17, 571, 17, 571, 17, 571, 17, 681, 17, 681, 17, 720, 17, 887, 17, 1168, 66, 204, 204, 264, 314, 666, 437, 1014, 302, 275, 36502, 10111, 2953, 850, 204, 264, 2759, 419, 289, 36502, 10111, 2953, 374, 204, 204, 264, 314, 3182, 9991, 497, 275, 458, 204, 264, 717, 68, 1205, 289, 2759, 419, 19, 3956, 68, 14894, 13, 804, 68, 655, 14, 204, 204, 264, 314, 1198, 275, 5846, 458, 329, 1163, 717, 1277, 204, 264, 456, 499, 25448, 458, 2180, 683, 68, 655, 2022, 1957, 68, 1205, 694, 204, 264, 456, 499, 6001, 1277, 2180, 717, 68, 1205, 14, 204, 0, 647, 1127, 204, 647, 5503, 204, 647, 2010, 448, 645, 204, 531, 1498, 532, 1061, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 5503, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 5503, 510, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 9387, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 424, 497, 275, 5503, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 388, 6952, 431, 448, 510, 31, 204, 305, 407, 5503, 19, 986, 13, 553, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 2805, 329, 456, 908, 943, 204, 268, 456, 13, 75, 7, 596, 4644, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 636, 68, 1129, 68, 876, 68, 3992, 13, 643, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 455, 273, 2510, 1348, 1273, 275, 1646, 700, 292, 848, 1237, 353, 368, 329, 5261, 529, 500, 19, 204, 204, 264, 457, 31, 204, 264, 1348, 322, 1123, 19, 766, 330, 4429, 1348, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 8870, 1348, 440, 1646, 1019, 12208, 448, 368, 19, 204, 264, 320, 204, 264, 314, 8139, 848, 1103, 440, 275, 1646, 700, 292, 1163, 1237, 204, 264, 407, 322, 643, 564, 1348, 19, 1129, 13, 3399, 34, 22, 30822, 443, 12670, 7532, 13, 339, 14, 204, 204, 461, 949, 68, 16130, 68, 1303, 13, 204, 264, 19240, 72, 68, 1420, 31, 645, 19, 766, 17, 716, 264, 711, 2141, 68, 1420, 31, 645, 19, 766, 17, 716, 264, 30758, 68, 1420, 31, 645, 19, 766, 17, 716, 264, 3093, 31, 1061, 64, 325, 17, 818, 66, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 9977, 1066, 302, 275, 537, 6946, 19, 204, 204, 264, 457, 31, 204, 264, 19240, 72, 68, 1420, 322, 1123, 19, 766, 330, 25026, 919, 19, 204, 264, 711, 2141, 68, 1420, 322, 1123, 19, 766, 330, 964, 5650, 919, 19, 204, 264, 30758, 68, 1420, 322, 1123, 19, 766, 330, 42557, 919, 19, 204, 264, 3093, 322, 1665, 64, 325, 17, 818, 1037, 26124, 348, 848, 919, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 35344, 1066, 302, 275, 537, 6946, 19, 204, 264, 320, 204, 264, 314, 888, 9977, 1066, 974, 275, 800, 3093, 204, 264, 407, 322, 204, 268, 3093, 1166, 36622, 1339, 540, 19240, 72, 68, 1420, 465, 716, 268, 3093, 1166, 761, 2141, 1339, 540, 711, 2141, 68, 1420, 465, 716, 268, 3093, 1166, 42214, 1339, 540, 30758, 68, 1420, 204, 264, 1179, 204, 204, 461, 2885, 68, 676, 13, 16130, 68, 10089, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 320, 204, 264, 8698, 275, 850, 1609, 523, 275, 9977, 8598, 19, 204, 204, 264, 457, 31, 204, 264, 9977, 68, 10089, 322, 1123, 19, 766, 330, 35344, 8598, 302, 275, 537, 6946, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 19814, 4364, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1112, 302, 275, 1646, 700, 292, 848, 1237, 204, 264, 407, 645, 19, 11300, 13, 16130, 68, 10089, 17, 3138, 34, 22, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 537, 4622, 832, 204, 264, 537, 68, 3810, 289, 388, 768, 68, 1538, 68, 6656, 8895, 11291, 204, 615, 264, 314, 968, 275, 3093, 348, 848, 919, 204, 264, 3093, 289, 463, 204, 268, 388, 36622, 559, 500, 19, 28, 1909, 2177, 4088, 2132, 4553, 23, 17, 204, 268, 388, 761, 2141, 559, 500, 19, 9579, 2562, 27, 4635, 22212, 5639, 17, 204, 268, 388, 42214, 559, 500, 19, 34715, 2177, 40536, 2562, 2353, 204, 264, 1211, 204, 204, 264, 314, 1385, 424, 497, 5503, 1860, 204, 264, 610, 68, 804, 68, 36622, 289, 636, 68, 1129, 68, 876, 68, 3992, 13, 986, 68, 481, 13, 865, 19, 546, 19, 1541, 13, 768, 68, 3810, 17, 388, 94, 68, 804, 68, 1695, 68, 36622, 19, 25536, 28722, 204, 264, 610, 68, 804, 68, 761, 2141, 289, 636, 68, 1129, 68, 876, 68, 3992, 13, 986, 68, 481, 13, 865, 19, 546, 19, 1541, 13, 768, 68, 3810, 17, 388, 94, 68, 804, 68, 24694, 68, 18366, 68, 761, 2141, 68, 23, 19, 25536, 28722, 204, 264, 610, 68, 804, 68, 42214, 289, 636, 68, 1129, 68, 876, 68, 3992, 13, 986, 68, 481, 13, 865, 19, 546, 19, 1541, 13, 768, 68, 3810, 17, 388, 94, 68, 804, 68, 24694, 68, 13965, 356, 68, 42214, 68, 24, 19, 25536, 28722, 204, 204, 264, 314, 888, 9977, 8598, 204, 264, 9977, 68, 10089, 289, 949, 68, 16130, 68, 1303, 13, 93, 68, 804, 68, 36622, 17, 610, 68, 804, 68, 761, 2141, 17, 610, 68, 804, 68, 42214, 17, 3093, 14, 204, 204, 264, 314, 8698, 4364, 204, 264, 469, 68, 4749, 289, 2885, 68, 676, 13, 16130, 68, 10089, 14, 204, 204, 264, 314, 3025, 3705, 311, 273, 2306, 510, 204, 264, 645, 19, 33660, 499, 7381, 19, 2039, 528, 469, 68, 4749, 17, 22311, 40737, 73, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 589, 8991, 367, 532, 10297, 204, 204, 531, 1498, 532, 29392, 68, 20546, 3096, 17, 2334, 17, 1061, 17, 783, 17, 16195, 17, 1535, 204, 531, 7124, 19, 1703, 532, 20532, 204, 204, 647, 20210, 204, 531, 25617, 19, 36484, 19, 15260, 532, 1540, 68, 10680, 204, 531, 25617, 19, 36484, 19, 33890, 19, 402, 32458, 532, 30705, 204, 531, 25617, 19, 36484, 19, 33890, 19, 21510, 532, 44195, 17, 12933, 14728, 204, 531, 4778, 93, 532, 23402, 3368, 17, 7242, 596, 204, 531, 20210, 19, 5678, 532, 9508, 27532, 16005, 596, 17, 9508, 7545, 596, 204, 204, 531, 17818, 1150, 404, 1150, 34710, 19, 10890, 532, 15317, 47681, 15998, 50, 204, 531, 17818, 1150, 404, 1150, 34710, 19, 5678, 532, 322, 204, 264, 6579, 17641, 2940, 17, 204, 264, 9508, 7545, 26313, 9880, 2940, 17, 204, 264, 9508, 7545, 596, 17, 204, 264, 25927, 26313, 9880, 2940, 17, 204, 264, 28489, 19442, 2940, 17, 204, 264, 28489, 2683, 4729, 2940, 17, 204, 14, 204, 531, 17818, 1150, 404, 1150, 34710, 19, 1618, 19, 3201, 72, 532, 36792, 8279, 270, 1287, 7545, 204, 531, 17818, 1150, 404, 1150, 34710, 19, 3978, 532, 1034, 2562, 68, 633, 68, 1190, 204, 204, 403, 29392, 68, 20546, 3096, 31, 204, 264, 497, 3130, 761, 19, 3960, 1825, 532, 27048, 4387, 204, 264, 497, 17818, 1150, 404, 1150, 34710, 19, 1087, 532, 4244, 1891, 2108, 204, 264, 497, 17818, 1150, 404, 1150, 34710, 19, 6672, 532, 36792, 2213, 4756, 204, 204, 367, 668, 367, 289, 3134, 7545, 11158, 1891, 1339, 204, 204, 204, 676, 7841, 11158, 1891, 31, 204, 264, 320, 204, 264, 11885, 275, 20998, 302, 273, 17588, 19, 204, 204, 264, 21743, 348, 26850, 5357, 16687, 560, 8348, 3679, 90, 375, 17, 1702, 448, 1882, 437, 204, 264, 3594, 1701, 6370, 5888, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 11158, 1891, 2108, 330, 334, 17588, 10784, 1365, 1586, 19, 204, 268, 4778, 68, 1723, 322, 28123, 3368, 330, 334, 1545, 311, 732, 348, 4461, 2164, 19, 204, 268, 2082, 322, 33302, 4387, 330, 14929, 311, 732, 311, 2556, 1714, 1483, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 204, 268, 370, 17, 204, 268, 954, 31, 4244, 1891, 2108, 17, 204, 268, 4778, 68, 1723, 31, 23402, 3368, 17, 204, 268, 2082, 31, 27048, 4387, 17, 204, 264, 1179, 393, 443, 31, 204, 268, 370, 806, 1087, 289, 954, 204, 268, 370, 806, 1942, 68, 1723, 289, 4778, 68, 1723, 204, 268, 370, 806, 3342, 289, 2082, 204, 204, 264, 4470, 436, 6767, 68, 3201, 72, 68, 2119, 13, 327, 17, 1948, 31, 36792, 2213, 4756, 14, 393, 36792, 8279, 270, 1287, 7545, 31, 204, 268, 320, 204, 268, 11885, 275, 1917, 17588, 497, 437, 3594, 1701, 6370, 8234, 19, 204, 204, 268, 457, 31, 204, 305, 1948, 322, 48789, 2213, 4756, 330, 17588, 311, 6767, 19, 204, 204, 268, 475, 31, 204, 305, 36792, 8279, 270, 1287, 7545, 31, 334, 19652, 1948, 4578, 19, 204, 204, 268, 1632, 31, 204, 305, 9508, 7545, 596, 31, 334, 1948, 353, 2872, 521, 275, 39225, 353, 7843, 19, 204, 305, 6407, 7545, 2940, 31, 334, 1948, 5585, 311, 6767, 521, 867, 2872, 292, 1429, 2501, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 794, 26890, 3494, 329, 1948, 204, 305, 794, 26890, 68, 4603, 289, 20210, 19, 505, 68, 350, 26890, 68, 4603, 13, 2119, 19, 9904, 14, 204, 305, 794, 26890, 68, 2119, 289, 20210, 19, 5286, 13, 204, 485, 1948, 19, 9904, 17, 204, 485, 11619, 3603, 1889, 47681, 15998, 50, 648, 204, 485, 2914, 10703, 11174, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 13442, 559, 1078, 1522, 204, 305, 1179, 204, 268, 827, 20210, 19, 1962, 7545, 596, 448, 318, 31, 204, 305, 980, 9508, 7545, 596, 13, 325, 13, 74, 602, 204, 204, 268, 314, 778, 348, 1945, 13312, 204, 268, 397, 388, 2320, 7, 508, 292, 794, 26890, 68, 2119, 31, 204, 305, 980, 9508, 27532, 16005, 596, 499, 3882, 3679, 7319, 292, 1948, 431, 204, 268, 39225, 68, 805, 289, 794, 26890, 68, 2119, 1166, 2320, 1339, 204, 268, 397, 388, 80, 359, 7, 508, 292, 794, 26890, 68, 4603, 31, 204, 305, 980, 28489, 2683, 4729, 2940, 499, 3882, 12890, 292, 1948, 3494, 431, 204, 268, 896, 68, 359, 289, 794, 26890, 68, 4603, 1166, 80, 359, 1339, 204, 204, 268, 314, 2175, 1948, 12230, 204, 268, 397, 388, 79, 13063, 7, 292, 794, 26890, 68, 2119, 31, 204, 305, 370, 806, 3342, 19, 4561, 13, 204, 485, 388, 11158, 5912, 1948, 1564, 88, 497, 39225, 1564, 88, 528, 204, 485, 794, 26890, 68, 2119, 1166, 79, 13063, 2869, 204, 485, 39225, 68, 805, 17, 204, 305, 1179, 204, 268, 902, 31, 204, 305, 370, 806, 3342, 19, 4561, 499, 11158, 5912, 1948, 497, 39225, 1564, 88, 528, 39225, 68, 805, 14, 204, 204, 268, 314, 778, 39225, 329, 896, 1222, 204, 268, 397, 39225, 68, 805, 2167, 370, 806, 1087, 19, 3201, 72, 68, 2320, 31, 204, 305, 980, 9508, 27532, 16005, 596, 13, 75, 7, 11725, 39225, 31, 463, 47693, 68, 805, 743, 204, 268, 397, 370, 806, 1087, 19, 3201, 72, 68, 80, 1915, 329, 896, 68, 359, 508, 292, 370, 806, 1087, 19, 3201, 72, 68, 80, 1915, 31, 204, 305, 5530, 289, 283, 7, 80, 359, 463, 644, 68, 359, 98, 508, 4675, 348, 463, 47693, 68, 805, 2495, 204, 305, 980, 28489, 2683, 4729, 2940, 13, 5000, 14, 204, 204, 268, 314, 763, 275, 896, 348, 275, 39225, 204, 268, 896, 289, 4177, 370, 806, 505, 68, 644, 68, 402, 68, 29015, 13, 47693, 68, 805, 17, 896, 68, 359, 14, 204, 204, 268, 314, 6407, 275, 1948, 204, 268, 810, 31, 204, 305, 5735, 289, 20210, 19, 5286, 13, 204, 485, 1948, 19, 9904, 17, 204, 485, 896, 17, 204, 485, 11619, 3603, 1889, 47681, 15998, 50, 648, 204, 485, 16056, 34, 327, 806, 1087, 19, 3201, 72, 68, 37309, 17, 204, 305, 1179, 204, 268, 827, 20210, 19, 1962, 7545, 596, 448, 318, 31, 204, 305, 980, 9508, 7545, 596, 13, 325, 13, 74, 602, 204, 204, 268, 314, 4908, 329, 407, 275, 19652, 1948, 204, 268, 407, 370, 806, 3751, 68, 2119, 13, 2119, 19, 9904, 17, 5735, 14, 204, 204, 264, 4470, 436, 906, 505, 68, 644, 68, 402, 68, 29015, 13, 327, 17, 39225, 68, 805, 31, 394, 17, 896, 68, 359, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 896, 348, 437, 39225, 19, 204, 204, 268, 3596, 273, 896, 448, 42835, 17, 800, 275, 39225, 329, 275, 824, 896, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 39225, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 39225, 19, 204, 305, 896, 68, 359, 322, 325, 330, 334, 896, 1222, 311, 3686, 348, 275, 39225, 292, 2717, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 39225, 677, 896, 292, 42835, 1883, 19, 204, 204, 268, 1632, 31, 204, 305, 6579, 17641, 2940, 31, 32470, 311, 3686, 275, 896, 758, 348, 275, 1713, 39225, 19, 204, 305, 28489, 3027, 2521, 2940, 31, 334, 13112, 896, 1222, 867, 1193, 17, 1101, 353, 348, 437, 30387, 3372, 19, 204, 305, 28489, 2683, 4729, 2940, 31, 334, 13112, 896, 1222, 867, 508, 3113, 292, 275, 39225, 1586, 521, 867, 508, 1193, 292, 496, 39225, 677, 871, 60, 28645, 19, 204, 268, 320, 204, 268, 370, 806, 3342, 19, 4561, 499, 29070, 896, 1564, 88, 497, 1564, 88, 528, 896, 68, 359, 17, 39225, 68, 805, 14, 204, 204, 268, 314, 4491, 275, 871, 60, 28645, 1483, 204, 268, 3583, 289, 4177, 370, 806, 505, 68, 3261, 13, 47693, 68, 805, 14, 204, 204, 268, 314, 1752, 275, 896, 496, 572, 3480, 204, 268, 896, 289, 1682, 1802, 80, 348, 724, 292, 3583, 397, 724, 1166, 80, 359, 1339, 564, 896, 68, 359, 659, 443, 14, 204, 268, 397, 508, 896, 31, 204, 305, 5530, 289, 283, 7, 27532, 16005, 463, 47693, 68, 805, 98, 869, 1236, 12890, 463, 644, 68, 359, 2495, 204, 305, 980, 28489, 2683, 4729, 2940, 13, 5000, 14, 204, 268, 397, 896, 1166, 25101, 1339, 2167, 15317, 47681, 15998, 50, 31, 204, 305, 5530, 289, 322, 204, 485, 283, 7, 27532, 16005, 463, 47693, 68, 805, 98, 12890, 463, 644, 68, 359, 98, 2080, 3372, 7, 204, 485, 283, 7, 463, 644, 736, 25101, 10139, 508, 463, 1889, 47681, 15998, 50, 2495, 204, 305, 1179, 204, 305, 980, 28489, 19442, 2940, 13, 5000, 14, 204, 204, 268, 314, 2208, 329, 407, 275, 896, 204, 268, 6409, 289, 1034, 2562, 68, 633, 68, 1190, 13, 644, 1166, 74, 3808, 204, 268, 7750, 289, 1034, 2562, 68, 633, 68, 1190, 13, 644, 1166, 83, 3808, 204, 268, 3566, 68, 644, 289, 370, 806, 3751, 68, 7359, 68, 644, 13, 15475, 17, 7750, 14, 204, 268, 407, 3566, 68, 644, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 3751, 68, 7359, 68, 644, 13, 15475, 31, 421, 17, 7750, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 437, 6409, 329, 7750, 311, 273, 42835, 18, 9904, 896, 19, 204, 204, 268, 457, 31, 204, 305, 6409, 322, 339, 330, 334, 6409, 19, 204, 305, 7750, 322, 339, 330, 334, 7750, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 42835, 18, 9904, 896, 19, 204, 268, 320, 204, 268, 4550, 289, 30705, 19, 38673, 20359, 24342, 13, 15475, 17, 7750, 14, 204, 268, 3566, 68, 644, 289, 4550, 19, 7359, 68, 644, 13, 10680, 34, 2305, 68, 10680, 1447, 204, 268, 407, 3566, 68, 644, 19, 7359, 68, 3881, 13, 204, 305, 4051, 34, 26305, 19, 3771, 50, 17, 1883, 34, 20359, 14728, 19, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16920, 46248, 5655, 204, 268, 14647, 5286, 374, 204, 204, 264, 4470, 436, 906, 505, 68, 3261, 13, 327, 17, 39225, 68, 805, 31, 394, 14, 393, 783, 64, 1665, 64, 325, 17, 394, 2440, 204, 268, 320, 204, 268, 6579, 275, 896, 758, 348, 437, 39225, 19, 204, 204, 268, 457, 31, 204, 305, 39225, 68, 805, 322, 325, 330, 1274, 302, 275, 39225, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 1665, 64, 325, 17, 394, 2440, 783, 302, 3583, 322, 266, 871, 60, 28645, 1883, 14, 348, 275, 800, 39225, 19, 204, 204, 268, 1632, 31, 204, 305, 6579, 17641, 2940, 31, 4161, 8228, 311, 3686, 273, 758, 302, 3583, 497, 275, 39225, 19, 204, 268, 320, 204, 268, 1779, 289, 4177, 370, 806, 505, 68, 79, 92, 6464, 68, 6670, 13, 47693, 68, 805, 14, 204, 268, 397, 508, 1779, 31, 204, 305, 1779, 289, 20532, 13, 47693, 68, 805, 17, 5161, 9439, 18, 4917, 20, 79, 92, 6464, 19, 1775, 431, 204, 204, 268, 810, 31, 204, 305, 468, 289, 4177, 370, 806, 1942, 68, 1723, 19, 505, 13, 805, 14, 204, 305, 397, 468, 19, 1835, 68, 1181, 2167, 2031, 31, 204, 485, 5127, 289, 283, 1954, 87, 19, 1835, 68, 1181, 98, 463, 87, 19, 15555, 68, 13730, 2495, 204, 485, 5530, 289, 283, 7, 10219, 3686, 3583, 497, 463, 805, 2829, 463, 15555, 2495, 204, 485, 980, 6579, 17641, 2940, 13, 5000, 14, 204, 268, 827, 7242, 596, 31, 204, 305, 980, 6579, 17641, 2940, 13, 75, 7, 10219, 3686, 3583, 497, 463, 805, 743, 204, 204, 268, 810, 31, 204, 305, 2484, 289, 468, 19, 1775, 374, 204, 305, 407, 2484, 1166, 3261, 1339, 204, 268, 827, 1319, 31, 204, 305, 5530, 289, 283, 7, 3882, 3583, 4355, 292, 871, 60, 28645, 3688, 348, 463, 805, 2495, 204, 305, 980, 6579, 17641, 2940, 13, 5000, 14, 204, 204, 264, 4470, 436, 906, 505, 68, 79, 92, 6464, 68, 6670, 13, 327, 17, 39225, 68, 805, 31, 394, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 4491, 275, 871, 60, 28645, 9740, 348, 273, 800, 39225, 19, 204, 204, 268, 8716, 348, 275, 3594, 1701, 6370, 3688, 329, 3822, 275, 871, 60, 28645, 9740, 497, 496, 19, 204, 204, 268, 457, 31, 204, 305, 39225, 68, 805, 322, 325, 330, 1274, 302, 275, 39225, 19, 204, 204, 268, 475, 31, 204, 305, 394, 521, 443, 31, 9740, 348, 275, 871, 60, 28645, 302, 496, 39225, 17, 521, 443, 397, 275, 3594, 1701, 6370, 3688, 353, 508, 3113, 19, 204, 204, 268, 1632, 31, 204, 305, 6579, 17641, 2940, 31, 828, 275, 3594, 1701, 6370, 3688, 5409, 2964, 918, 275, 1812, 3918, 19, 204, 268, 320, 204, 268, 1779, 289, 20532, 13, 47693, 68, 805, 17, 5161, 9439, 18, 4917, 20, 43464, 18, 7491, 431, 204, 268, 810, 31, 204, 305, 468, 289, 4177, 370, 806, 1942, 68, 1723, 19, 505, 13, 805, 14, 204, 305, 397, 468, 19, 1835, 68, 1181, 2167, 2031, 31, 204, 485, 407, 443, 204, 268, 827, 7242, 596, 31, 204, 305, 407, 443, 204, 204, 268, 810, 31, 204, 305, 2484, 289, 468, 19, 1775, 374, 204, 305, 407, 2484, 1166, 79, 92, 6464, 68, 6670, 1339, 204, 268, 827, 1319, 31, 204, 305, 5530, 289, 283, 7, 3882, 781, 92, 6464, 68, 6670, 4355, 292, 36792, 40, 3688, 348, 463, 47693, 68, 805, 2495, 204, 305, 980, 6579, 17641, 2940, 13, 5000, 14, 204, 204, 264, 436, 906, 3751, 68, 2119, 13, 204, 268, 370, 17, 6093, 31, 394, 17, 13312, 31, 16195, 64, 325, 17, 2334, 66, 204, 264, 1179, 393, 36792, 8279, 270, 1287, 7545, 31, 204, 268, 320, 204, 268, 4908, 273, 4244, 1287, 7545, 497, 437, 6093, 1948, 329, 1163, 19652, 13312, 19, 204, 204, 268, 457, 31, 204, 305, 6093, 322, 325, 330, 334, 6093, 798, 302, 275, 1948, 19, 204, 305, 13312, 322, 20836, 64, 325, 17, 2334, 1037, 334, 13312, 302, 273, 19652, 1948, 19, 204, 204, 268, 475, 31, 204, 305, 36792, 8279, 270, 1287, 7545, 31, 334, 6465, 1948, 19, 204, 204, 268, 1632, 31, 204, 305, 25927, 26313, 9880, 2940, 31, 334, 1948, 353, 4520, 1945, 13312, 19, 204, 268, 320, 204, 268, 314, 778, 348, 1945, 13312, 204, 268, 397, 370, 806, 1087, 19, 2574, 68, 23778, 508, 292, 13312, 31, 204, 305, 5530, 289, 283, 7, 3882, 463, 327, 806, 1087, 19, 2574, 68, 23778, 98, 7319, 292, 1948, 7, 204, 305, 370, 806, 3342, 19, 9041, 13, 5000, 17, 13312, 34, 36577, 14, 204, 305, 980, 25927, 26313, 9880, 2940, 13, 5000, 14, 204, 268, 397, 370, 806, 1087, 19, 3639, 68, 23778, 508, 292, 13312, 31, 204, 305, 5530, 289, 283, 7, 3882, 463, 327, 806, 1087, 19, 3639, 68, 23778, 98, 7319, 292, 1948, 7, 204, 305, 370, 806, 3342, 19, 9041, 13, 5000, 17, 13312, 34, 36577, 14, 204, 305, 980, 25927, 26313, 9880, 2940, 13, 5000, 14, 204, 268, 810, 31, 204, 305, 18048, 289, 421, 13, 36577, 64, 327, 806, 1087, 19, 3639, 68, 23778, 694, 204, 268, 827, 1319, 31, 204, 305, 5530, 289, 283, 7, 1962, 463, 327, 806, 1087, 19, 3639, 68, 23778, 98, 7319, 292, 1948, 7, 204, 305, 370, 806, 3342, 19, 9041, 13, 5000, 17, 13312, 34, 36577, 14, 204, 305, 980, 9508, 7545, 26313, 9880, 2940, 13, 5000, 14, 204, 204, 268, 314, 4908, 329, 407, 275, 19652, 1948, 204, 268, 407, 36792, 8279, 270, 1287, 7545, 13, 204, 305, 6093, 34, 9904, 17, 204, 305, 13312, 34, 36577, 17, 204, 305, 781, 13063, 34, 36577, 19, 505, 499, 79, 13063, 528, 388, 32567, 3186, 204, 305, 2143, 34, 36577, 64, 327, 806, 1087, 19, 2574, 68, 23778, 648, 204, 305, 18048, 34, 3639, 17, 204, 268, 1179, 204, 0, 676, 12160, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 3277, 5333, 1747, 19, 204, 204, 264, 1532, 31, 204, 268, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 268, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 204, 268, 3188, 322, 996, 330, 334, 790, 3188, 292, 275, 1747, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1747, 68, 1190, 31, 394, 17, 1747, 68, 4624, 31, 394, 17, 1419, 68, 3631, 31, 818, 289, 500, 19, 21, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 5333, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 305, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 19, 204, 305, 1419, 68, 3631, 322, 996, 17, 1448, 330, 334, 1419, 3188, 19, 1243, 311, 500, 19, 21, 19, 204, 268, 320, 204, 268, 370, 19, 3652, 68, 1190, 289, 1747, 68, 1190, 204, 268, 370, 19, 3652, 68, 4624, 289, 1747, 68, 4624, 204, 268, 370, 19, 3631, 289, 1419, 68, 3631, 204, 204, 264, 436, 7666, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20640, 273, 4153, 1690, 1025, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7666, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 7666, 1690, 353, 1097, 204, 268, 397, 1690, 2186, 500, 31, 204, 305, 980, 987, 499, 24275, 1690, 1631, 444, 3114, 1194, 2962, 431, 204, 822, 268, 314, 1716, 275, 3188, 204, 268, 370, 19, 3631, 1412, 1690, 204, 204, 264, 436, 7138, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20954, 273, 4153, 1690, 497, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7138, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 11528, 1690, 353, 1097, 204, 268, 397, 1690, 2186, 500, 31, 204, 305, 980, 987, 499, 25463, 1690, 1631, 444, 3114, 1194, 2962, 431, 204, 822, 268, 314, 778, 397, 275, 1747, 869, 9133, 3188, 204, 268, 397, 1690, 1323, 370, 19, 3631, 31, 204, 305, 980, 987, 499, 20273, 3188, 431, 204, 822, 268, 314, 1716, 275, 3188, 204, 268, 370, 19, 3631, 4922, 1690, 204, 204, 264, 436, 636, 68, 3631, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 790, 3188, 292, 275, 1747, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 790, 3188, 19, 204, 268, 320, 204, 268, 407, 370, 19, 3631, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 717, 5333, 1747, 204, 264, 1747, 289, 12160, 499, 24325, 528, 388, 6192, 7358, 528, 3861, 19, 21, 14, 204, 615, 264, 314, 26558, 686, 4589, 204, 264, 1747, 19, 15749, 13, 4589, 19, 21, 14, 204, 615, 264, 314, 15960, 686, 2825, 204, 264, 1747, 19, 15691, 13, 2825, 19, 21, 14, 204, 615, 264, 314, 1198, 275, 790, 3188, 204, 264, 456, 13, 75, 7, 11322, 3188, 31, 9838, 3652, 19, 505, 68, 3631, 22215, 23, 75, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 531, 589, 8991, 367, 532, 456, 68, 2539, 204, 647, 1127, 204, 647, 2454, 204, 647, 3238, 204, 531, 1498, 532, 1884, 204, 204, 676, 12815, 3313, 31, 204, 264, 320, 26269, 2585, 299, 1609, 523, 13966, 5791, 3595, 329, 34556, 38513, 19, 3039, 510, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2002, 68, 546, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 12815, 3313, 19, 204, 204, 268, 457, 31, 204, 305, 2002, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2002, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 3396, 68, 546, 289, 2002, 68, 546, 204, 204, 264, 436, 636, 68, 1976, 68, 2256, 13, 327, 14, 393, 1884, 64, 339, 17, 421, 17, 421, 744, 204, 268, 320, 204, 268, 4071, 275, 790, 2585, 497, 275, 34556, 38513, 19, 3039, 510, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 339, 17, 421, 17, 421, 744, 334, 790, 2585, 448, 273, 927, 302, 2327, 1892, 19, 204, 268, 320, 204, 268, 314, 6652, 8775, 19, 505, 68, 2256, 353, 273, 741, 496, 21030, 275, 2585, 497, 273, 510, 204, 268, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 3277, 5581, 204, 268, 954, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 327, 19, 3396, 68, 546, 17, 379, 7206, 1442, 38513, 19, 3039, 534, 204, 268, 440, 1451, 13, 1087, 68, 553, 17, 379, 87, 534, 448, 510, 31, 204, 305, 348, 1007, 292, 510, 31, 204, 485, 397, 1007, 19, 7209, 611, 574, 13, 40, 2097, 12513, 68, 18634, 68, 12110, 4448, 204, 895, 2585, 289, 1007, 19, 1590, 46728, 9520, 22, 1664, 1590, 16039, 204, 895, 407, 927, 13, 339, 13, 1819, 14, 348, 1085, 292, 2585, 14, 204, 268, 980, 987, 499, 11223, 508, 1193, 292, 34556, 38513, 19, 3039, 431, 204, 204, 264, 436, 636, 68, 1957, 68, 2256, 13, 327, 17, 758, 68, 2256, 31, 394, 17, 33488, 31, 394, 17, 790, 68, 2256, 31, 1884, 64, 339, 17, 421, 17, 421, 694, 393, 1884, 64, 2107, 17, 1884, 64, 339, 17, 421, 17, 421, 2440, 204, 268, 320, 204, 268, 4071, 275, 717, 2585, 1609, 523, 275, 758, 2585, 329, 33488, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 758, 68, 2256, 322, 325, 330, 334, 2585, 311, 758, 19, 204, 305, 33488, 322, 325, 330, 334, 1187, 302, 33488, 322, 11393, 17, 10908, 17, 6528, 789, 204, 305, 790, 68, 2256, 322, 2983, 64, 339, 17, 421, 17, 421, 1037, 334, 790, 2585, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 2107, 17, 1884, 64, 339, 17, 421, 17, 421, 2440, 332, 927, 1174, 273, 8051, 5850, 1978, 329, 275, 717, 2585, 19, 204, 268, 320, 204, 268, 314, 6652, 8775, 19, 505, 68, 1957, 68, 2256, 353, 273, 741, 496, 9111, 275, 717, 2585, 204, 268, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 3277, 5581, 204, 268, 397, 33488, 564, 379, 11393, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 597, 204, 305, 717, 68, 2256, 289, 322, 1976, 68, 2256, 64, 21, 66, 465, 368, 17, 500, 17, 500, 14, 204, 268, 1677, 33488, 564, 379, 17956, 597, 204, 305, 717, 68, 2256, 289, 322, 1976, 68, 2256, 64, 21, 648, 790, 68, 2256, 64, 22, 66, 465, 368, 17, 500, 14, 204, 268, 1677, 33488, 564, 379, 5690, 597, 204, 305, 717, 68, 2256, 289, 322, 1976, 68, 2256, 64, 21, 648, 790, 68, 2256, 64, 22, 648, 790, 68, 2256, 64, 23, 66, 465, 368, 14, 204, 268, 902, 31, 204, 305, 407, 1078, 17, 790, 68, 2256, 204, 204, 268, 397, 758, 68, 2256, 31, 204, 305, 810, 31, 204, 485, 717, 68, 2256, 289, 927, 13, 339, 13, 1819, 14, 348, 1085, 292, 758, 68, 2256, 19, 1590, 7542, 3063, 204, 305, 827, 987, 31, 204, 485, 407, 1078, 17, 790, 68, 2256, 204, 204, 268, 407, 959, 17, 717, 68, 2256, 204, 204, 264, 436, 5408, 68, 2256, 13, 327, 17, 2585, 22, 31, 1884, 64, 339, 17, 421, 17, 421, 648, 2585, 23, 31, 1884, 64, 339, 17, 421, 17, 421, 694, 393, 421, 31, 204, 268, 320, 204, 268, 28079, 970, 10537, 19, 204, 204, 268, 457, 31, 204, 305, 2585, 22, 322, 2983, 64, 339, 17, 421, 17, 421, 1037, 334, 1043, 2585, 19, 204, 305, 2585, 23, 322, 2983, 64, 339, 17, 421, 17, 421, 1037, 334, 1350, 2585, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 338, 22, 397, 2585, 22, 353, 2202, 1194, 2585, 23, 17, 368, 397, 2585, 22, 353, 3114, 1194, 2585, 23, 17, 500, 397, 1250, 529, 1936, 19, 204, 268, 320, 204, 268, 348, 1085, 22, 17, 1085, 23, 292, 4337, 13, 2256, 22, 17, 2585, 23, 330, 204, 305, 397, 1085, 22, 962, 1085, 23, 31, 204, 485, 407, 338, 22, 204, 305, 1677, 1085, 22, 1323, 1085, 23, 31, 204, 485, 407, 368, 204, 268, 407, 500, 204, 204, 264, 436, 636, 68, 12142, 68, 4827, 68, 1454, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 4071, 275, 7663, 5791, 943, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 7663, 5791, 943, 19, 204, 268, 320, 204, 268, 314, 6652, 8775, 19, 505, 68, 12142, 68, 4827, 68, 1454, 353, 273, 741, 496, 21030, 275, 7663, 5791, 943, 204, 268, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 3277, 5581, 204, 268, 532, 4845, 204, 268, 407, 4845, 19, 2555, 68, 1420, 8031, 9502, 491, 379, 761, 491, 6159, 22, 491, 6262, 2478, 21451, 88, 18863, 5286, 611, 3102, 18, 29, 3930, 2892, 374, 204, 204, 264, 436, 353, 68, 8242, 68, 2196, 68, 910, 13, 327, 17, 5791, 68, 1454, 31, 394, 14, 393, 1884, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4191, 397, 273, 5367, 1354, 353, 3113, 292, 275, 5791, 943, 19, 204, 204, 268, 457, 31, 204, 305, 5791, 68, 1454, 322, 325, 330, 334, 5791, 943, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 325, 17, 394, 744, 332, 927, 1174, 275, 1354, 1187, 329, 700, 19, 204, 268, 320, 204, 268, 314, 6652, 8775, 19, 360, 68, 8242, 68, 2196, 68, 910, 353, 273, 741, 496, 5377, 348, 273, 5367, 1354, 204, 268, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 3277, 5581, 204, 268, 397, 379, 574, 2585, 12, 292, 5791, 68, 1454, 31, 204, 305, 3576, 289, 5791, 68, 1454, 19, 1590, 611, 574, 2585, 534, 204, 305, 407, 379, 574, 491, 3576, 64, 22, 1664, 2892, 374, 204, 268, 1677, 379, 71, 1411, 12, 292, 5791, 68, 1454, 31, 204, 305, 3576, 289, 5791, 68, 1454, 19, 1590, 611, 71, 1411, 534, 204, 305, 407, 3576, 64, 21, 1664, 2892, 2144, 3576, 64, 22, 1664, 2892, 374, 204, 268, 407, 8488, 5607, 204, 204, 461, 2252, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 9246, 1354, 18, 1054, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 334, 3634, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 204, 268, 2342, 833, 7848, 48133, 275, 7663, 13966, 943, 329, 397, 273, 5367, 1354, 353, 3113, 490, 2584, 1051, 302, 275, 2631, 8563, 87, 65, 83, 204, 305, 758, 2585, 962, 2256, 18, 3709, 35, 204, 485, 521, 204, 305, 33488, 322, 11393, 97, 17956, 97, 5690, 14, 962, 71, 1411, 336, 18, 2256, 35, 204, 268, 592, 1322, 275, 1354, 353, 508, 3113, 17, 490, 2584, 1392, 782, 19, 7848, 534, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 667, 374, 393, 421, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 5925, 1576, 19, 204, 264, 320, 204, 264, 2042, 289, 2252, 68, 6052, 374, 204, 264, 2585, 68, 2754, 289, 12815, 3313, 13, 865, 19, 14702, 1447, 204, 264, 7663, 68, 4827, 68, 1454, 289, 2585, 68, 2754, 19, 505, 68, 12142, 68, 4827, 68, 1454, 374, 204, 264, 1354, 68, 932, 17, 1354, 68, 876, 289, 2585, 68, 2754, 19, 360, 68, 8242, 68, 2196, 68, 910, 13, 12142, 68, 4827, 68, 1454, 14, 204, 204, 264, 397, 1354, 68, 932, 329, 1354, 68, 876, 31, 204, 268, 790, 68, 2256, 289, 2585, 68, 2754, 19, 505, 68, 1976, 68, 2256, 374, 204, 268, 1978, 17, 717, 68, 2256, 289, 2585, 68, 2754, 19, 505, 68, 1957, 68, 2256, 13, 2196, 68, 876, 17, 1354, 68, 932, 17, 790, 68, 2256, 14, 204, 204, 268, 397, 508, 1978, 31, 204, 305, 407, 500, 204, 204, 268, 397, 2585, 68, 2754, 19, 15828, 68, 2256, 13, 1957, 68, 2256, 17, 790, 68, 2256, 14, 962, 500, 31, 204, 305, 407, 500, 204, 204, 268, 2585, 68, 1031, 289, 11307, 73, 23664, 73, 23664, 73, 12, 1564, 717, 68, 2256, 204, 268, 456, 13, 75, 1954, 2196, 68, 932, 98, 463, 2196, 68, 876, 98, 463, 2256, 68, 1031, 7068, 1136, 11456, 204, 264, 407, 500, 204, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 2454, 19, 4555, 13, 660, 1447, 204, 0, 647, 1127, 204, 647, 4845, 204, 647, 1804, 204, 647, 690, 204, 531, 1498, 532, 1535, 204, 204, 461, 838, 68, 7760, 68, 2100, 13, 2029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 666, 275, 4806, 1445, 397, 490, 1583, 508, 1337, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 302, 275, 4806, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3101, 832, 302, 275, 4806, 510, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1034, 1445, 348, 7506, 204, 264, 1034, 68, 2100, 289, 18032, 92, 4341, 9, 20, 58, 46509, 18, 1036, 19, 6257, 20, 5164, 20, 17924, 92, 3084, 20, 12100, 7, 204, 264, 3101, 546, 289, 1127, 19, 546, 19, 1541, 13, 772, 68, 2100, 17, 2049, 14, 204, 264, 1445, 289, 1127, 19, 546, 19, 7094, 13, 5022, 546, 14, 204, 615, 264, 314, 666, 275, 1445, 397, 490, 1583, 508, 1337, 204, 264, 810, 31, 204, 268, 1127, 19, 8240, 13, 2100, 17, 1337, 68, 779, 34, 1021, 14, 204, 264, 827, 12368, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4141, 1445, 31, 463, 74, 743, 204, 615, 264, 407, 3101, 546, 204, 204, 461, 2281, 68, 7760, 68, 633, 68, 553, 13, 2029, 31, 394, 17, 4806, 68, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 275, 4806, 311, 275, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 302, 275, 4806, 19, 204, 268, 4806, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 4806, 19, 204, 264, 320, 204, 264, 314, 666, 275, 4806, 1445, 397, 490, 1583, 508, 1337, 204, 264, 3101, 546, 289, 838, 68, 7760, 68, 2100, 13, 2029, 14, 204, 615, 264, 314, 3400, 275, 4806, 311, 275, 510, 204, 264, 440, 1451, 13, 5022, 546, 17, 388, 429, 431, 448, 510, 31, 204, 268, 510, 19, 2206, 13, 7760, 68, 492, 19, 4170, 374, 465, 308, 7979, 83, 431, 204, 204, 461, 2037, 68, 12384, 13, 2029, 31, 394, 17, 4806, 68, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 273, 7747, 440, 275, 4806, 1068, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 302, 275, 4806, 19, 204, 268, 4806, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 4806, 19, 204, 264, 320, 204, 264, 314, 3740, 273, 7747, 974, 300, 422, 7414, 204, 264, 4845, 19, 20033, 9792, 83, 422, 7414, 528, 388, 89, 549, 1982, 44625, 528, 283, 7, 6001, 9076, 463, 2029, 7068, 4806, 68, 492, 17, 388, 14436, 2177, 19, 31220, 17, 2898, 528, 388, 24885, 3808, 204, 204, 461, 1370, 68, 11438, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8406, 273, 5316, 311, 8956, 273, 717, 4806, 19, 204, 264, 320, 204, 264, 314, 8406, 273, 5316, 974, 9350, 32995, 204, 264, 4845, 19, 20033, 9792, 22305, 32995, 528, 7031, 72, 528, 25075, 6001, 18, 5379, 15824, 19, 29224, 8067, 32319, 40, 18375, 10184, 4727, 20845, 4727, 20822, 19, 13946, 65, 5561, 17497, 30713, 18587, 3808, 204, 204, 461, 3074, 68, 7760, 13, 7760, 68, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10423, 273, 4806, 329, 2281, 490, 311, 275, 39046, 510, 19, 204, 204, 264, 457, 31, 204, 268, 4806, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 4806, 19, 204, 264, 320, 204, 264, 314, 3400, 275, 4806, 311, 275, 39046, 510, 204, 264, 2281, 68, 7760, 68, 633, 68, 553, 499, 48575, 19, 3039, 528, 4806, 68, 492, 14, 204, 264, 314, 3740, 273, 7747, 204, 264, 2037, 68, 12384, 499, 48575, 19, 3039, 528, 4806, 68, 492, 14, 204, 264, 314, 8406, 273, 5316, 204, 264, 1370, 68, 11438, 374, 204, 204, 461, 3074, 68, 14240, 68, 7760, 13, 7760, 68, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10423, 273, 6450, 4806, 329, 2281, 490, 311, 275, 6450, 510, 19, 204, 204, 264, 457, 31, 204, 268, 4806, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 4806, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2049, 348, 275, 6450, 4806, 204, 264, 2049, 289, 636, 68, 15166, 68, 672, 374, 204, 264, 314, 3400, 275, 4806, 311, 275, 6450, 510, 204, 264, 2281, 68, 7760, 68, 633, 68, 553, 13, 2029, 17, 4806, 68, 492, 14, 204, 264, 314, 3740, 273, 7747, 204, 264, 2037, 68, 12384, 13, 2029, 17, 4806, 68, 492, 14, 204, 264, 314, 8406, 273, 5316, 204, 264, 1370, 68, 11438, 374, 204, 204, 461, 636, 68, 15166, 68, 672, 374, 393, 394, 31, 204, 264, 320, 204, 264, 455, 275, 6585, 1489, 348, 275, 6450, 4806, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 6585, 1489, 19, 204, 264, 320, 204, 264, 314, 763, 275, 790, 1489, 329, 690, 204, 264, 790, 68, 672, 289, 1804, 19, 2664, 19, 1520, 374, 204, 264, 314, 9265, 275, 1489, 204, 264, 407, 790, 68, 672, 19, 7899, 6343, 14240, 5079, 62, 11852, 82, 11852, 39, 5079, 73, 10, 70, 19, 3039, 431, 204, 204, 461, 9203, 68, 633, 68, 12100, 13, 2029, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 32711, 311, 275, 7506, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 302, 275, 4806, 19, 204, 264, 320, 204, 264, 314, 666, 275, 4806, 1445, 397, 490, 1583, 508, 1337, 204, 264, 3101, 546, 289, 838, 68, 7760, 68, 2100, 13, 2029, 14, 204, 264, 314, 3594, 275, 7506, 510, 292, 1559, 34666, 204, 264, 4845, 19, 2960, 9792, 948, 34666, 19, 7414, 528, 40572, 4727, 92, 4341, 4292, 65, 58, 46509, 18, 1036, 19, 6257, 4727, 5164, 4727, 17924, 92, 3084, 4727, 12100, 4727, 528, 3101, 546, 19, 3834, 31598, 40572, 39369, 204, 264, 314, 5730, 348, 500, 19, 26, 3331, 204, 264, 690, 19, 4867, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 21, 19, 26, 14, 204, 264, 314, 39699, 275, 1559, 34666, 2158, 204, 264, 4845, 19, 2960, 9792, 83, 422, 7414, 528, 388, 5450, 528, 388, 18817, 528, 388, 274, 1074, 528, 388, 12100, 3134, 694, 204, 204, 676, 9076, 57, 8203, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 6992, 289, 463, 204, 305, 388, 2700, 19957, 3671, 559, 370, 19, 5029, 68, 2700, 17, 204, 305, 388, 2700, 19957, 1451, 559, 370, 19, 1530, 68, 2700, 17, 204, 305, 25075, 15150, 4806, 97, 12814, 1625, 14, 962, 492, 30610, 35, 559, 370, 19, 15150, 68, 7760, 17, 204, 305, 388, 71, 3548, 479, 7506, 559, 370, 19, 71, 3548, 68, 293, 68, 12100, 17, 204, 305, 388, 14240, 4806, 962, 492, 30610, 35, 559, 370, 19, 15150, 68, 14240, 68, 7760, 17, 204, 305, 388, 71, 3548, 479, 6450, 7506, 559, 370, 19, 71, 3548, 68, 293, 68, 14240, 68, 12100, 17, 204, 268, 1211, 204, 268, 370, 19, 31633, 289, 551, 204, 305, 314, 1061, 344, 499, 492, 30610, 3186, 204, 268, 2437, 204, 268, 370, 19, 18510, 289, 463, 204, 305, 388, 492, 30610, 559, 8897, 204, 268, 1211, 204, 204, 264, 436, 3506, 68, 2700, 13, 327, 330, 204, 268, 314, 4862, 275, 3506, 2333, 741, 204, 268, 1879, 204, 204, 264, 436, 1012, 68, 2700, 13, 327, 330, 204, 268, 314, 4862, 275, 1012, 2333, 741, 204, 268, 1879, 204, 204, 264, 436, 3074, 68, 7760, 13, 327, 17, 1068, 30610, 31, 394, 14, 393, 443, 31, 204, 268, 314, 10423, 273, 4806, 329, 2281, 490, 311, 275, 39046, 510, 204, 268, 3074, 68, 7760, 13, 492, 30610, 14, 204, 204, 264, 436, 8402, 68, 293, 68, 12100, 13, 327, 14, 393, 443, 31, 204, 268, 314, 32711, 311, 275, 7506, 510, 204, 268, 9203, 68, 633, 68, 12100, 499, 48575, 19, 3039, 431, 204, 204, 264, 436, 3074, 68, 14240, 68, 7760, 13, 327, 17, 1068, 30610, 31, 394, 14, 393, 443, 31, 204, 268, 314, 10423, 273, 6450, 4806, 329, 2281, 490, 311, 275, 6450, 510, 204, 268, 3074, 68, 14240, 68, 7760, 13, 492, 30610, 14, 204, 204, 264, 436, 8402, 68, 293, 68, 14240, 68, 12100, 13, 327, 14, 393, 443, 31, 204, 268, 314, 32711, 311, 275, 6450, 7506, 510, 204, 268, 9203, 68, 633, 68, 12100, 13, 505, 68, 15166, 68, 672, 1447, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 4806, 68, 45307, 289, 9076, 57, 8203, 374, 204, 264, 314, 1295, 275, 4806, 2563, 270, 204, 264, 4806, 68, 45307, 19, 15150, 68, 7760, 499, 1834, 353, 273, 683, 4806, 431, 204, 264, 4806, 68, 45307, 19, 15150, 68, 14240, 68, 7760, 499, 1834, 353, 273, 6450, 4806, 431, 204, 264, 4806, 68, 45307, 19, 71, 3548, 68, 293, 68, 12100, 374, 204, 264, 4806, 68, 45307, 19, 71, 3548, 68, 293, 68, 14240, 68, 12100, 374, 204, 0, 461, 636, 68, 29174, 68, 655, 13, 655, 22, 31, 458, 17, 458, 23, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 5406, 458, 1609, 523, 275, 1277, 19, 204, 204, 264, 457, 31, 204, 268, 458, 22, 322, 655, 330, 334, 1043, 458, 19, 204, 268, 458, 23, 322, 655, 330, 334, 1350, 458, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 5406, 458, 19, 204, 264, 320, 204, 264, 314, 8139, 275, 5466, 302, 275, 970, 3330, 329, 407, 275, 5406, 1051, 204, 264, 407, 458, 22, 397, 1245, 13, 655, 22, 14, 962, 1245, 13, 655, 23, 14, 902, 458, 23, 204, 204, 461, 636, 68, 37274, 68, 655, 13, 655, 22, 31, 458, 17, 458, 23, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 5658, 458, 1609, 523, 275, 1277, 19, 204, 204, 264, 457, 31, 204, 268, 458, 22, 322, 655, 330, 334, 1043, 458, 19, 204, 268, 458, 23, 322, 655, 330, 334, 1350, 458, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 5658, 458, 19, 204, 264, 320, 204, 264, 314, 8139, 275, 5466, 302, 275, 970, 3330, 329, 407, 275, 5658, 1051, 204, 264, 407, 458, 22, 397, 1245, 13, 655, 22, 14, 3721, 1245, 13, 655, 23, 14, 902, 458, 23, 204, 204, 461, 636, 68, 4608, 68, 3337, 13, 29174, 68, 655, 31, 458, 17, 5658, 68, 655, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 2323, 1842, 1283, 970, 3330, 19, 204, 204, 264, 457, 31, 204, 268, 5406, 68, 655, 322, 655, 330, 334, 5406, 458, 19, 204, 268, 5658, 68, 655, 322, 655, 330, 334, 5658, 458, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 2323, 1842, 19, 204, 264, 320, 204, 264, 314, 1974, 758, 6907, 311, 1020, 2323, 1842, 329, 1814, 1818, 311, 458, 204, 264, 407, 2282, 13, 655, 13, 574, 13, 29174, 68, 655, 14, 2343, 758, 13, 37274, 68, 655, 3694, 204, 204, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 3596, 575, 537, 329, 16340, 397, 490, 677, 273, 458, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 537, 3176, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 575, 537, 448, 273, 458, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 305, 314, 6608, 311, 1814, 275, 537, 311, 273, 458, 204, 305, 537, 68, 655, 289, 10712, 13, 816, 68, 768, 14, 204, 305, 397, 508, 2381, 13, 768, 68, 655, 17, 458, 330, 204, 485, 456, 499, 596, 31, 4429, 1631, 444, 273, 458, 1280, 204, 485, 3524, 204, 305, 407, 537, 68, 655, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 499, 596, 2180, 394, 13, 74, 602, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 575, 537, 348, 970, 3330, 204, 264, 458, 22, 289, 636, 68, 816, 68, 768, 499, 2101, 275, 1043, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 458, 31, 2810, 204, 264, 458, 23, 289, 636, 68, 816, 68, 768, 499, 2101, 275, 1350, 458, 31, 2810, 204, 615, 264, 314, 763, 275, 5406, 329, 5658, 3330, 204, 264, 5406, 68, 655, 289, 636, 68, 29174, 68, 655, 13, 655, 22, 17, 458, 23, 14, 204, 264, 5658, 68, 655, 289, 636, 68, 37274, 68, 655, 13, 655, 22, 17, 458, 23, 14, 204, 615, 264, 314, 763, 275, 2323, 1842, 204, 264, 2323, 68, 3337, 289, 636, 68, 4608, 68, 3337, 13, 29174, 68, 655, 17, 5658, 68, 655, 14, 204, 615, 264, 314, 1198, 275, 2323, 1842, 204, 264, 456, 499, 16489, 1842, 2180, 2323, 68, 3337, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 531, 7135, 1717, 19, 1618, 532, 12421, 1717, 1186, 204, 531, 1907, 19, 1479, 19, 1618, 19, 14270, 532, 1722, 68, 2360, 204, 531, 1907, 19, 21530, 532, 11006, 204, 531, 1804, 532, 1804, 204, 204, 676, 6761, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2002, 440, 1163, 4163, 329, 2986, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 2002, 19, 204, 268, 752, 322, 14849, 1717, 1186, 330, 334, 752, 302, 275, 2002, 19, 204, 268, 2342, 322, 325, 330, 334, 2342, 302, 275, 2002, 19, 204, 268, 1977, 322, 325, 330, 334, 1977, 311, 275, 2002, 19, 204, 268, 3680, 322, 2491, 330, 334, 575, 1415, 1966, 275, 2002, 19, 204, 268, 6193, 68, 269, 322, 2664, 330, 334, 1489, 329, 690, 275, 2002, 867, 6193, 19, 204, 268, 23881, 322, 13243, 330, 334, 3612, 1415, 874, 27908, 348, 275, 2002, 19, 204, 268, 3440, 68, 2224, 322, 339, 330, 334, 3440, 2279, 302, 275, 2002, 19, 204, 268, 451, 3423, 68, 2224, 322, 339, 330, 334, 451, 3423, 2279, 302, 275, 2002, 19, 204, 268, 1666, 68, 2224, 322, 339, 330, 334, 1666, 2279, 302, 275, 2002, 19, 204, 268, 2480, 68, 17000, 322, 996, 330, 334, 2480, 3440, 2279, 302, 275, 2002, 19, 204, 268, 2480, 68, 354, 3423, 322, 996, 330, 334, 2480, 451, 3423, 2279, 302, 275, 2002, 19, 204, 268, 2480, 68, 2387, 322, 996, 330, 334, 2480, 1666, 2279, 302, 275, 2002, 19, 204, 268, 2480, 68, 2224, 322, 996, 330, 334, 2480, 2279, 302, 275, 2002, 19, 204, 264, 320, 204, 204, 264, 1724, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2188, 14, 204, 264, 752, 31, 12421, 1717, 1186, 289, 12421, 1717, 1186, 611, 935, 534, 204, 264, 2342, 31, 394, 289, 1094, 19, 7320, 374, 204, 264, 1977, 31, 394, 289, 1094, 19, 24362, 374, 204, 264, 3680, 31, 2221, 289, 1094, 19, 4483, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 1022, 14112, 431, 204, 264, 6193, 68, 269, 31, 1804, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 23881, 31, 1094, 19, 13243, 289, 1094, 19, 13243, 13, 2491, 17, 3232, 68, 417, 1022, 91, 8284, 68, 14112, 431, 204, 264, 3440, 68, 2224, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 451, 3423, 68, 2224, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 1666, 68, 2224, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2480, 68, 17000, 31, 818, 289, 1094, 19, 18315, 13, 2305, 34, 21, 19, 21, 14, 204, 264, 2480, 68, 354, 3423, 31, 818, 289, 1094, 19, 18315, 13, 2305, 34, 21, 19, 21, 14, 204, 264, 2480, 68, 2387, 31, 818, 289, 1094, 19, 18315, 13, 2305, 34, 21, 19, 21, 14, 204, 264, 2480, 68, 2224, 31, 818, 289, 1094, 19, 18315, 13, 2305, 34, 21, 19, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 314, 475, 275, 1724, 302, 275, 2002, 448, 273, 782, 2355, 19, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 668, 68, 14112, 13, 4621, 14, 393, 1094, 19, 19337, 31, 204, 268, 320, 204, 268, 475, 273, 7785, 302, 830, 8217, 19, 204, 268, 320, 204, 268, 314, 4071, 830, 8217, 497, 275, 1104, 19, 204, 268, 407, 4963, 19, 2856, 19, 668, 374, 204, 204, 264, 1642, 6649, 204, 264, 436, 1813, 68, 14112, 68, 1424, 68, 417, 13, 4621, 17, 588, 31, 394, 14, 393, 1094, 19, 19337, 31, 204, 268, 320, 204, 268, 475, 273, 7785, 302, 8217, 7535, 275, 800, 588, 19, 204, 268, 320, 204, 268, 314, 18403, 8217, 560, 1724, 17, 24450, 1322, 19, 204, 268, 407, 4963, 19, 2856, 19, 2741, 13, 1778, 367, 33554, 34, 417, 14, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 816, 68, 14112, 13, 4621, 17, 3680, 31, 2221, 14, 393, 1094, 19, 19337, 31, 204, 268, 320, 204, 268, 475, 273, 7785, 302, 8217, 26153, 311, 275, 800, 575, 19, 204, 268, 320, 204, 268, 314, 4071, 8217, 1966, 560, 275, 800, 575, 19, 204, 268, 407, 4963, 19, 2856, 19, 2741, 13, 4531, 34, 4531, 14, 204, 204, 264, 436, 636, 68, 91, 18736, 68, 765, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 542, 302, 23881, 348, 275, 2002, 19, 204, 268, 320, 204, 268, 314, 475, 275, 542, 302, 3612, 1415, 874, 27908, 348, 275, 2002, 19, 204, 268, 407, 370, 19, 91, 18736, 19, 765, 374, 204, 204, 204, 676, 11717, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 575, 3680, 440, 1163, 4163, 329, 2986, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 3610, 440, 275, 3680, 19, 204, 268, 6038, 322, 325, 330, 334, 6038, 302, 275, 575, 19, 204, 268, 7157, 322, 14849, 1717, 1186, 330, 334, 7157, 302, 275, 575, 19, 204, 268, 1692, 322, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 325, 330, 334, 1692, 302, 275, 575, 19, 204, 268, 21393, 68, 2850, 322, 325, 330, 334, 13447, 1977, 302, 275, 575, 19, 204, 264, 320, 204, 204, 264, 575, 31, 2221, 289, 1094, 19, 20748, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 1022, 4531, 431, 204, 264, 6038, 31, 394, 289, 1094, 19, 7320, 374, 204, 264, 7157, 31, 12421, 1717, 1186, 289, 12421, 1717, 1186, 611, 935, 534, 204, 264, 1692, 31, 394, 289, 1094, 19, 15478, 374, 204, 264, 21393, 68, 2850, 31, 394, 289, 1094, 19, 24362, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 314, 475, 275, 2143, 448, 273, 782, 2355, 19, 204, 268, 407, 370, 19, 816, 19, 2574, 204, 204, 204, 37, 16380, 13, 2288, 68, 2360, 17, 6362, 34, 2491, 14, 204, 461, 838, 68, 276, 68, 2045, 68, 4531, 13, 9931, 17, 1014, 31, 2221, 17, 1966, 31, 1109, 17, 930, 2251, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 521, 7861, 273, 3680, 348, 273, 575, 19, 204, 264, 320, 204, 264, 314, 828, 275, 575, 353, 1966, 17, 838, 273, 717, 3680, 19, 204, 264, 397, 1966, 31, 204, 268, 11717, 19, 2856, 19, 1510, 13, 816, 34, 1648, 14, 204, 264, 314, 828, 275, 575, 2861, 2560, 17, 2106, 1017, 3680, 19, 204, 264, 902, 31, 204, 268, 1014, 19, 4531, 19, 2360, 374, 204, 0, 647, 2454, 204, 531, 8378, 532, 2621, 204, 647, 42412, 204, 647, 4037, 4164, 448, 308, 863, 204, 531, 8775, 19, 83, 3825, 68, 18970, 68, 668, 68, 15365, 532, 300, 3825, 68, 18970, 68, 668, 68, 15365, 204, 531, 8775, 19, 83, 3825, 68, 18970, 68, 1590, 68, 15365, 532, 300, 3825, 68, 18970, 68, 1590, 68, 15365, 204, 531, 8775, 532, 1137, 68, 14398, 26759, 204, 204, 461, 1137, 68, 9945, 13, 2182, 68, 3366, 31, 2621, 17, 4849, 31, 421, 14, 393, 1137, 68, 14398, 26759, 19, 22996, 31, 204, 264, 320, 204, 264, 1385, 275, 4946, 424, 329, 3219, 275, 4946, 726, 19, 204, 204, 264, 457, 31, 204, 268, 1485, 68, 3366, 322, 4203, 330, 334, 2852, 302, 275, 4946, 919, 19, 204, 268, 4849, 322, 339, 330, 334, 4849, 302, 275, 47615, 311, 1807, 19, 204, 204, 264, 475, 31, 204, 268, 1137, 68, 14398, 26759, 19, 22996, 31, 334, 4946, 726, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 4946, 424, 329, 3219, 275, 4946, 726, 204, 264, 2012, 289, 1137, 68, 14398, 26759, 19, 22996, 13, 2182, 68, 3366, 17, 9569, 68, 6575, 68, 80, 6092, 34, 3170, 17, 300, 68, 14398, 26759, 34, 5246, 14, 204, 264, 407, 2012, 204, 204, 461, 636, 68, 1657, 68, 417, 13, 4098, 31, 1137, 68, 14398, 26759, 19, 22996, 17, 4849, 31, 421, 17, 3404, 31, 1109, 14, 393, 2621, 31, 204, 264, 320, 204, 264, 763, 275, 1807, 588, 1609, 523, 275, 4946, 329, 1807, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 2012, 322, 986, 68, 14398, 26759, 19, 22996, 330, 334, 4946, 726, 19, 204, 268, 4849, 322, 339, 330, 334, 4849, 302, 275, 47615, 311, 1807, 19, 204, 268, 3404, 322, 2107, 330, 2266, 311, 3404, 275, 11830, 560, 38720, 4680, 19, 204, 204, 264, 475, 31, 204, 268, 2621, 31, 334, 1807, 588, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1807, 1445, 204, 264, 11830, 68, 1217, 289, 2012, 19, 3436, 68, 1229, 19, 3619, 19, 3619, 802, 388, 7963, 7, 204, 615, 264, 314, 763, 275, 3948, 2479, 204, 264, 3948, 68, 2360, 289, 4672, 13, 4098, 19, 3782, 68, 4346, 17, 681, 14, 204, 615, 264, 314, 4347, 275, 1807, 588, 1609, 523, 275, 3404, 3918, 204, 264, 397, 3404, 31, 204, 268, 1807, 68, 417, 289, 11830, 68, 1217, 802, 283, 7, 83, 68, 3825, 68, 1590, 68, 47500, 68, 5246, 1859, 5246, 6803, 70, 96, 3782, 68, 2360, 3572, 4955, 7, 204, 264, 902, 31, 204, 268, 1807, 68, 417, 289, 11830, 68, 1217, 802, 283, 7, 83, 68, 3825, 68, 47500, 68, 5246, 1859, 5246, 6803, 70, 96, 3782, 68, 2360, 3572, 4955, 7, 204, 264, 407, 1807, 68, 417, 204, 204, 461, 1807, 68, 47500, 13, 4098, 31, 1137, 68, 14398, 26759, 19, 22996, 17, 4849, 31, 421, 17, 3404, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 47615, 19, 204, 204, 264, 457, 31, 204, 268, 2012, 322, 986, 68, 14398, 26759, 19, 22996, 330, 334, 4946, 726, 19, 204, 268, 4849, 322, 339, 330, 334, 4849, 302, 275, 47615, 311, 1807, 19, 204, 268, 3404, 322, 2107, 330, 2266, 311, 3404, 275, 11830, 560, 38720, 4680, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 22180, 302, 3205, 204, 264, 22180, 289, 1682, 1802, 14398, 348, 13125, 292, 2012, 19, 14398, 26759, 397, 13125, 19, 5246, 564, 4849, 659, 443, 14, 204, 615, 264, 314, 778, 397, 275, 22180, 2560, 204, 264, 397, 22180, 353, 443, 31, 204, 268, 314, 666, 273, 4368, 440, 273, 943, 204, 268, 2836, 17, 1711, 289, 308, 863, 19, 11552, 13, 11390, 3603, 29, 19, 21, 17, 1132, 19, 21, 694, 204, 268, 1711, 19, 32969, 68, 826, 68, 492, 13, 204, 305, 283, 7, 17137, 463, 5246, 98, 1583, 508, 1337, 630, 1264, 2508, 4098, 19, 3436, 19, 1976, 68, 35982, 4567, 23, 75, 7068, 388, 5342, 1824, 7, 204, 268, 1179, 204, 268, 1711, 19, 574, 68, 3399, 68, 3008, 374, 204, 822, 268, 314, 3025, 275, 4368, 204, 268, 1807, 68, 417, 289, 636, 68, 1657, 68, 417, 13, 4098, 17, 4849, 17, 3404, 14, 204, 268, 2836, 19, 12273, 13, 1657, 68, 417, 17, 23491, 34, 6386, 14, 204, 268, 407, 204, 204, 264, 314, 763, 275, 3466, 311, 732, 204, 264, 3466, 289, 22180, 19, 5342, 19, 633, 499, 80, 6092, 431, 204, 204, 264, 314, 763, 275, 1807, 1302, 204, 264, 1807, 68, 835, 289, 2012, 19, 3436, 19, 411, 291, 13, 9913, 17, 388, 80, 6092, 3912, 5561, 633, 499, 80, 6092, 431, 204, 204, 264, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 314, 3045, 275, 47615, 204, 264, 397, 3404, 31, 204, 268, 300, 3825, 68, 18970, 68, 1590, 68, 15365, 13, 4098, 19, 3436, 17, 3466, 17, 1807, 68, 835, 17, 388, 80, 6092, 528, 636, 68, 1657, 68, 417, 13, 4098, 17, 4849, 17, 3404, 602, 204, 264, 902, 31, 204, 268, 300, 3825, 68, 18970, 68, 668, 68, 15365, 13, 4098, 19, 3436, 17, 3466, 17, 1807, 68, 835, 17, 388, 80, 6092, 528, 636, 68, 1657, 68, 417, 13, 4098, 17, 4849, 17, 3404, 602, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 927, 64, 4203, 17, 421, 17, 1109, 744, 204, 264, 320, 204, 264, 2735, 275, 1354, 18, 1054, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 4203, 17, 421, 17, 1109, 744, 334, 1485, 2852, 17, 4849, 17, 329, 3404, 3918, 19, 204, 264, 320, 204, 264, 314, 778, 275, 542, 302, 1354, 18, 1054, 1906, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 681, 31, 204, 268, 980, 987, 499, 24, 1906, 1945, 431, 204, 204, 264, 314, 2735, 275, 1354, 18, 1054, 1906, 204, 264, 1485, 68, 3366, 289, 2621, 13, 4807, 19, 4983, 64, 22, 12670, 19466, 374, 204, 264, 4849, 289, 421, 13, 4807, 19, 4983, 64, 23, 694, 204, 615, 264, 314, 3866, 275, 4849, 204, 264, 397, 4849, 962, 368, 31, 204, 268, 980, 987, 499, 17137, 1631, 444, 437, 1534, 3114, 1194, 2962, 1280, 204, 264, 397, 4849, 2167, 818, 13, 4807, 19, 4983, 64, 23, 1037, 204, 268, 980, 987, 499, 17137, 1631, 444, 437, 1534, 1280, 204, 615, 264, 314, 2735, 275, 3404, 3918, 204, 264, 3404, 289, 2454, 19, 4983, 64, 24, 1664, 3006, 374, 564, 388, 1590, 7, 204, 615, 264, 407, 1485, 68, 3366, 17, 4849, 17, 3404, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 275, 1354, 18, 1054, 1906, 204, 264, 1485, 68, 3366, 17, 4849, 17, 3404, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 204, 264, 314, 1385, 275, 4946, 204, 264, 2012, 289, 1137, 68, 9945, 13, 2182, 68, 3366, 17, 4849, 14, 204, 204, 264, 314, 3045, 275, 47615, 204, 264, 1807, 68, 47500, 13, 4098, 17, 4849, 17, 3404, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1359, 275, 6060, 204, 264, 308, 863, 19, 574, 68, 4007, 374, 204, 615, 264, 314, 1359, 275, 711, 1870, 204, 264, 42412, 19, 35448, 19, 2301, 761, 19, 12419, 13, 1719, 14, 226, 314, 8809, 42412, 677, 919, 204, 615, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 6431, 830, 2318, 14424, 329, 348, 848, 302, 1605, 2318, 14424, 17, 1020, 273, 2318, 8002, 2539, 19, 628, 353, 275, 3542, 2817, 302, 830, 3263, 361, 12315, 55, 19, 204, 204, 1380, 5565, 273, 14, 313, 13, 75, 13, 93, 602, 289, 435, 75, 13, 93, 14, 204, 204, 1449, 1020, 275, 14424, 17, 572, 1519, 311, 1020, 3263, 1702, 496, 435, 75, 13, 93, 14, 289, 40523, 13, 93, 14, 1273, 283, 17106, 500, 329, 273, 11966, 41953, 19, 1058, 4658, 451, 273, 289, 435, 19, 4087, 17, 275, 1698, 24166, 353, 435, 17, 329, 1169, 741, 440, 2318, 5692, 5994, 19, 1765, 1763, 17, 283, 13, 93, 14, 289, 3698, 13, 93, 14, 353, 1051, 1702, 8002, 2539, 19, 204, 204, 1380, 5565, 308, 14, 313, 13, 75, 13, 93, 602, 289, 283, 2422, 93, 14, 204, 204, 4592, 275, 2817, 302, 830, 3263, 497, 361, 311, 361, 353, 11015, 18, 11464, 17, 572, 2950, 732, 1525, 16685, 19, 13472, 17, 572, 3480, 311, 1020, 3263, 1702, 496, 283, 13, 93, 14, 289, 40523, 2422, 93, 789, 716, 204, 28063, 275, 4708, 8697, 17, 572, 636, 283, 13, 93, 14, 289, 40523, 2422, 93, 14, 289, 273, 67, 23, 75, 13, 93, 789, 1058, 10600, 496, 273, 67, 23, 289, 368, 17, 754, 273, 289, 368, 521, 273, 289, 338, 22, 19, 204, 204, 3070, 273, 289, 368, 17, 572, 874, 283, 13, 93, 14, 289, 283, 2422, 93, 659, 928, 3210, 496, 830, 2219, 3263, 529, 17893, 19, 204, 204, 3070, 273, 289, 338, 22, 17, 572, 874, 283, 13, 93, 14, 289, 338, 75, 2422, 93, 659, 928, 3210, 496, 830, 4069, 3263, 529, 17893, 19, 204, 204, 4356, 17, 275, 14424, 529, 368, 329, 338, 22, 17, 440, 3310, 17893, 2545, 830, 2219, 3263, 329, 830, 4069, 3263, 17, 8866, 19, 716, 204, 7108, 496, 1169, 904, 741, 496, 353, 12956, 2219, 10524, 4069, 1120, 508, 444, 437, 33352, 17, 329, 275, 14424, 529, 9122, 311, 368, 329, 338, 22, 19, 334, 6016, 800, 17, 1702, 448, 357, 13, 93, 14, 329, 373, 13, 93, 659, 770, 508, 10579, 275, 2407, 302, 2545, 17893, 348, 1169, 904, 24166, 19, 0, 7016, 6413, 20, 3539, 20, 5207, 204, 204, 647, 2821, 204, 204, 461, 2510, 68, 1803, 13, 5518, 68, 1630, 31, 458, 64, 339, 648, 1029, 68, 876, 31, 421, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 9715, 273, 2510, 1813, 523, 273, 2282, 458, 302, 886, 311, 1020, 273, 1029, 700, 19, 204, 204, 264, 457, 31, 204, 268, 2282, 68, 1630, 322, 655, 64, 339, 1037, 332, 2282, 458, 302, 1892, 19, 204, 268, 1029, 68, 876, 322, 339, 330, 334, 700, 311, 1813, 348, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1029, 700, 353, 1193, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 977, 275, 3124, 329, 3482, 7119, 348, 275, 1813, 204, 264, 3124, 68, 3499, 289, 500, 204, 264, 3482, 68, 3499, 289, 1245, 13, 5518, 68, 1630, 14, 338, 368, 204, 204, 264, 314, 11333, 14223, 1335, 275, 7119, 529, 1097, 204, 264, 1335, 3124, 68, 3499, 2186, 3482, 68, 3499, 31, 204, 268, 314, 888, 275, 12288, 302, 275, 790, 7119, 204, 268, 4210, 289, 322, 3006, 68, 3499, 465, 3482, 68, 3499, 14, 3166, 435, 226, 314, 4496, 1534, 4854, 348, 9208, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 4210, 68, 577, 289, 2282, 68, 1630, 64, 6607, 66, 204, 268, 456, 13, 75, 7, 17930, 4238, 463, 6607, 68, 577, 743, 204, 204, 268, 314, 778, 397, 275, 1029, 700, 353, 1193, 204, 268, 397, 4210, 68, 577, 564, 1029, 68, 876, 31, 204, 305, 456, 499, 2835, 490, 5397, 204, 305, 407, 959, 204, 268, 314, 828, 275, 1029, 700, 353, 3114, 17, 1395, 275, 3124, 2722, 204, 268, 1677, 4210, 68, 577, 962, 1029, 68, 876, 31, 204, 305, 3124, 68, 3499, 289, 4210, 465, 368, 204, 268, 314, 828, 275, 1029, 700, 353, 5406, 17, 1395, 275, 3482, 2722, 204, 268, 902, 31, 204, 305, 3482, 68, 3499, 289, 4210, 338, 368, 204, 264, 902, 31, 204, 268, 314, 828, 275, 3546, 10045, 2900, 6154, 275, 1029, 700, 17, 490, 677, 508, 292, 275, 458, 204, 268, 456, 499, 28409, 508, 1020, 490, 431, 204, 268, 407, 1078, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 8952, 741, 311, 683, 275, 2510, 1813, 5581, 1279, 204, 264, 314, 666, 273, 458, 302, 886, 329, 1688, 490, 204, 264, 886, 289, 551, 22, 17, 571, 17, 887, 17, 720, 17, 720, 17, 1168, 17, 500, 17, 931, 66, 204, 264, 2282, 68, 1630, 289, 2282, 13, 1630, 14, 204, 264, 456, 499, 16896, 886, 2180, 2282, 68, 1630, 14, 204, 204, 264, 314, 968, 275, 1029, 700, 311, 1813, 348, 204, 264, 1029, 68, 876, 289, 571, 204, 264, 1193, 289, 2510, 68, 1803, 13, 5518, 68, 1630, 17, 1029, 68, 876, 14, 204, 264, 456, 13, 75, 7, 12118, 700, 463, 2170, 68, 876, 98, 1193, 31, 463, 10213, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 1907, 19, 11761, 532, 2111, 204, 531, 2617, 1618, 532, 38258, 204, 204, 461, 2037, 68, 28986, 13, 1443, 31, 726, 14, 393, 726, 31, 204, 264, 320, 204, 264, 10616, 273, 458, 302, 830, 4884, 25466, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 726, 31, 334, 5703, 2966, 958, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 4884, 25466, 497, 275, 1104, 204, 264, 4884, 68, 28986, 289, 38258, 19, 2856, 19, 2741, 13, 360, 68, 4187, 34, 1021, 14, 204, 204, 264, 314, 4784, 275, 1112, 2399, 440, 275, 4884, 25466, 204, 264, 407, 2111, 13, 1443, 17, 388, 35894, 20, 998, 19, 2079, 528, 2832, 28986, 559, 4884, 68, 28986, 1937, 204, 0, 4462, 10026, 40337, 33715, 1189, 24609, 22640, 5159, 7702, 6613, 7573, 3601, 990, 43966, 5159, 11338, 1001, 204, 16961, 3419, 3152, 408, 7573, 19706, 12646, 568, 30, 2903, 1511, 33733, 408, 43966, 42030, 47213, 4262, 30000, 7024, 1505, 1776, 48278, 3013, 5227, 32908, 11020, 47425, 3944, 725, 32908, 47425, 2946, 1955, 33715, 3590, 3589, 3068, 408, 15236, 3013, 26045, 19600, 11677, 460, 8494, 3068, 3589, 3523, 1111, 4462, 10026, 43966, 5159, 47213, 4262, 1456, 44328, 460, 40337, 33715, 2677, 7782, 2051, 4906, 32908, 11020, 47425, 3944, 725, 3276, 3151, 1251, 12646, 725, 25547, 3151, 32908, 47425, 2946, 1955, 10412, 5873, 8360, 3013, 43966, 5159, 10023, 460, 5110, 2729, 11755, 37589, 408, 2110, 6588, 48864, 22640, 5159, 6236, 7702, 6613, 8709, 568, 6573, 40337, 33715, 2499, 1189, 7702, 6613, 8709, 1251, 5159, 17615, 28097, 3393, 1811, 2174, 14708, 4241, 3601, 990, 43966, 5159, 11338, 8464, 204, 30557, 23774, 408, 24357, 21505, 3841, 22640, 5159, 6236, 7702, 6613, 8709, 15236, 5196, 11748, 5340, 7767, 44328, 33715, 26042, 921, 43966, 42030, 47213, 4262, 1456, 20743, 408, 4262, 1456, 45892, 29427, 2149, 230, 33281, 1227, 20770, 40226, 10090, 44698, 32310, 26042, 568, 204, 10654, 854, 38435, 12630, 38184, 5340, 4740, 11457, 2356, 1565, 408, 37477, 408, 30080, 921, 3455, 1603, 47122, 22640, 5159, 6236, 7702, 6613, 8709, 1946, 408, 1227, 15764, 2132, 1377, 15236, 5196, 11748, 5340, 7767, 10366, 3455, 1603, 9978, 408, 16197, 24357, 21505, 3841, 22640, 5159, 6236, 7702, 6613, 8709, 15236, 5196, 11748, 5340, 7767, 44328, 33715, 38945, 41254, 9518, 22791, 19, 24, 12573, 408, 8695, 24357, 21505, 47213, 4262, 1456, 44328, 33715, 4343, 19, 23, 12573, 408, 35176, 30080, 3248, 1456, 44328, 33715, 3894, 19, 25, 12573, 408, 24357, 21505, 29078, 3988, 44328, 33715, 1003, 19, 28, 12573, 408, 12354, 29206, 1111, 7118, 15593, 408, 12120, 1189, 22640, 5159, 6236, 7702, 6613, 8709, 38435, 39330, 27297, 568, 0, 777, 7366, 22019, 8587, 292, 273, 42877, 9260, 777, 204, 204, 1380, 5248, 18573, 204, 204, 4377, 273, 1525, 302, 300, 3015, 329, 309, 2630, 17, 1273, 1842, 529, 2282, 292, 14090, 1552, 1855, 1237, 18, 1712, 329, 1837, 18, 1712, 17, 1020, 275, 1113, 542, 302, 2917, 1842, 292, 275, 1525, 19, 204, 204, 1380, 1165, 204, 204, 69, 2700, 289, 5787, 29, 17, 24, 17, 23, 17456, 22, 26497, 25, 17, 23, 17, 22, 17456, 22, 26497, 24, 17, 22, 17456, 22, 17456, 23, 648, 3327, 22, 17456, 22, 17456, 23, 17456, 24, 2629, 69, 204, 673, 1113, 1040, 302, 2917, 886, 353, 1132, 19, 204, 204, 1380, 19085, 204, 204, 2310, 1120, 1012, 440, 275, 1043, 1237, 329, 15062, 497, 1629, 311, 1824, 3119, 572, 11969, 273, 2140, 1103, 19, 334, 1113, 542, 302, 2917, 1842, 292, 275, 1043, 1237, 1120, 444, 1758, 82, 338, 734, 338, 368, 7147, 1273, 1758, 982, 69, 353, 275, 1112, 302, 275, 1043, 2140, 1103, 19, 1785, 1120, 1675, 9203, 311, 275, 1682, 1237, 329, 9437, 275, 1352, 17, 6432, 12312, 302, 275, 3718, 496, 1842, 529, 2282, 19, 204, 204, 1380, 8756, 204, 204, 3971, 346, 7873, 8756, 204, 3691, 15986, 204, 339, 1040, 13, 3828, 33, 3828, 33, 339, 15770, 11, 2333, 14, 463, 204, 264, 421, 300, 289, 2333, 19, 835, 2144, 309, 289, 2333, 64, 21, 1664, 835, 2144, 1237, 289, 500, 17, 1837, 289, 309, 338, 368, 17, 1787, 289, 500, 32, 204, 264, 1335, 322, 937, 962, 300, 14, 463, 204, 268, 1335, 322, 3071, 3721, 500, 19122, 2333, 64, 937, 1799, 3071, 66, 962, 500, 14, 1837, 582, 32, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 1787, 1412, 309, 338, 1837, 338, 368, 32, 204, 268, 1237, 33639, 204, 264, 1211, 204, 264, 407, 1787, 32, 204, 98, 204, 3691, 204, 204, 3971, 12033, 8756, 204, 3691, 16430, 204, 7359, 7746, 421, 1040, 6950, 76, 5392, 13, 339, 64, 1799, 66, 2333, 14, 463, 204, 264, 421, 300, 289, 2333, 19, 1205, 17, 309, 289, 2333, 64, 21, 1664, 1205, 17, 1237, 289, 500, 17, 1837, 289, 309, 338, 368, 17, 1787, 289, 500, 32, 204, 264, 1335, 322, 937, 962, 300, 14, 463, 204, 268, 1335, 322, 3071, 3721, 500, 19122, 2333, 64, 937, 1799, 3071, 66, 962, 500, 14, 1837, 582, 32, 204, 268, 1787, 1412, 309, 338, 1837, 338, 368, 32, 204, 268, 1237, 33639, 204, 264, 1211, 204, 264, 407, 1787, 32, 204, 98, 204, 3691, 204, 204, 1380, 20068, 11865, 204, 204, 15, 930, 3103, 20068, 4626, 650, 13, 83, 16, 82, 659, 1273, 300, 329, 309, 529, 275, 886, 302, 3015, 329, 2630, 8866, 19, 204, 15, 930, 17305, 20068, 4626, 650, 13, 22, 659, 448, 572, 529, 974, 1698, 273, 1554, 311, 1640, 275, 2073, 19, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 532, 8486, 204, 531, 724, 429, 95, 1828, 19, 2918, 532, 636, 68, 816, 204, 531, 1498, 532, 1884, 17, 1061, 17, 1535, 204, 204, 676, 3682, 15940, 324, 9500, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 32304, 311, 15551, 1900, 1966, 329, 2908, 1489, 4163, 348, 1094, 19, 204, 204, 264, 1532, 31, 204, 268, 1966, 68, 269, 322, 6602, 330, 334, 1489, 329, 690, 1330, 275, 1014, 867, 1966, 19, 204, 268, 2908, 68, 269, 322, 6602, 330, 334, 1489, 329, 690, 1330, 275, 1014, 867, 1673, 2908, 19, 204, 264, 320, 204, 264, 1966, 68, 269, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 2908, 68, 269, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 10003, 289, 959, 204, 204, 204, 676, 332, 14784, 9500, 13, 3103, 15940, 324, 9500, 330, 204, 264, 320, 204, 264, 332, 14784, 9500, 9321, 23922, 4521, 302, 1966, 329, 5846, 560, 1415, 19, 204, 204, 264, 1532, 31, 204, 268, 1966, 68, 1424, 322, 2580, 330, 334, 2143, 302, 275, 575, 1415, 1966, 275, 1014, 19, 204, 268, 2908, 68, 1424, 322, 2580, 330, 334, 2143, 302, 275, 575, 1415, 1673, 2908, 275, 1014, 19, 204, 264, 320, 204, 264, 1966, 68, 1424, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 4247, 34, 1021, 17, 24335, 34, 1975, 17, 3749, 34, 1021, 14, 204, 264, 2908, 68, 1424, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 4247, 34, 1021, 17, 24335, 34, 1975, 17, 3749, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 10003, 289, 959, 204, 204, 264, 436, 906, 505, 68, 1976, 68, 816, 13, 327, 14, 393, 1535, 64, 325, 744, 204, 268, 320, 204, 268, 763, 275, 790, 575, 677, 2143, 19, 204, 204, 268, 475, 31, 204, 305, 334, 2143, 302, 275, 790, 575, 17, 521, 443, 397, 1236, 575, 353, 1193, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 575, 289, 636, 68, 816, 19, 505, 68, 816, 374, 204, 305, 407, 575, 19, 2574, 397, 575, 902, 443, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 275, 2710, 521, 2906, 490, 448, 4331, 204, 305, 407, 443, 204, 204, 264, 436, 906, 2045, 68, 26709, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1716, 275, 1966, 329, 2908, 18912, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 2908, 68, 269, 4521, 204, 268, 370, 19, 8107, 68, 269, 289, 8486, 19, 1520, 374, 204, 822, 268, 314, 828, 275, 1014, 353, 2545, 1966, 17, 758, 275, 1966, 68, 269, 4521, 204, 268, 397, 508, 370, 19, 5331, 31, 204, 305, 370, 19, 5903, 68, 269, 289, 370, 19, 8107, 68, 269, 204, 204, 264, 436, 906, 574, 68, 5903, 68, 8107, 68, 1424, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 1966, 329, 2908, 560, 2357, 19, 204, 268, 320, 204, 268, 575, 289, 370, 806, 505, 68, 1976, 68, 816, 374, 204, 822, 268, 314, 828, 275, 1014, 353, 2545, 1966, 17, 758, 275, 1966, 68, 1424, 1242, 204, 268, 397, 508, 370, 19, 5331, 31, 204, 305, 370, 19, 5903, 68, 1424, 289, 575, 204, 822, 268, 314, 1716, 275, 2908, 68, 1424, 1242, 204, 268, 370, 19, 8107, 68, 1424, 289, 575, 204, 204, 264, 436, 2106, 13, 327, 17, 540, 1038, 31, 1884, 17, 930, 2251, 31, 1061, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3025, 275, 570, 1014, 329, 1395, 275, 18912, 329, 1966, 20, 8107, 560, 2357, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 31, 7618, 1277, 4601, 458, 19, 204, 305, 930, 2251, 31, 17045, 4541, 1906, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 18912, 204, 268, 370, 806, 2045, 68, 26709, 374, 204, 822, 268, 314, 1359, 275, 1966, 329, 2908, 560, 2357, 204, 268, 370, 806, 574, 68, 5903, 68, 8107, 68, 1424, 374, 204, 822, 268, 314, 4889, 275, 2260, 850, 677, 2106, 1216, 204, 268, 2234, 1528, 2360, 4934, 1038, 17, 930, 2251, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 47404, 13, 38, 14784, 9500, 330, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 8, 666, 437, 1014, 302, 275, 47404, 204, 2569, 289, 47404, 13, 417, 1022, 5063, 431, 204, 2569, 19, 2360, 374, 204, 204, 8, 1198, 275, 1966, 329, 2908, 18912, 17, 329, 275, 1966, 329, 2908, 560, 2357, 204, 2102, 13, 2569, 19, 5903, 68, 269, 14, 204, 2102, 13, 2569, 19, 8107, 68, 269, 14, 204, 2102, 13, 2569, 19, 5903, 68, 1424, 14, 204, 2102, 13, 2569, 19, 8107, 68, 1424, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14, 204, 0, 647, 1875, 204, 531, 1498, 532, 1061, 17, 783, 17, 2334, 204, 204, 676, 20987, 31, 204, 264, 320, 204, 264, 3301, 850, 348, 830, 1094, 19, 204, 204, 264, 14068, 2986, 348, 10657, 2828, 311, 329, 497, 2084, 3157, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 1775, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 2208, 275, 726, 311, 273, 2084, 782, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 2084, 2355, 302, 275, 726, 19, 204, 268, 320, 204, 268, 407, 1875, 19, 7362, 13, 327, 3925, 873, 14909, 1688, 68, 3261, 34, 1021, 17, 8851, 34, 25, 14, 204, 204, 264, 1642, 4460, 204, 264, 436, 497, 68, 1775, 13, 481, 31, 394, 17, 570, 68, 932, 31, 2334, 14, 393, 2334, 31, 204, 268, 320, 204, 268, 666, 437, 726, 497, 273, 2084, 782, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 325, 330, 334, 2084, 782, 311, 2252, 19, 204, 305, 570, 68, 932, 322, 5588, 330, 334, 1187, 302, 570, 311, 838, 19, 204, 204, 268, 475, 31, 204, 305, 2334, 31, 334, 1966, 570, 726, 19, 204, 268, 320, 204, 268, 5026, 289, 1875, 19, 5569, 13, 481, 14, 204, 268, 407, 570, 68, 932, 7680, 3470, 14, 204, 204, 204, 676, 7837, 1655, 13, 15542, 330, 204, 264, 320, 204, 264, 2646, 273, 943, 440, 1714, 17, 943, 17, 329, 824, 19, 204, 204, 264, 1532, 31, 204, 268, 1714, 322, 339, 330, 334, 1714, 1576, 19, 204, 268, 943, 322, 325, 330, 334, 943, 1068, 19, 204, 268, 824, 322, 339, 330, 334, 824, 1222, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1714, 31, 421, 17, 943, 31, 394, 17, 824, 31, 421, 330, 204, 268, 320, 204, 268, 977, 273, 7837, 1655, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 322, 339, 330, 334, 1714, 1576, 19, 204, 305, 943, 322, 325, 330, 334, 943, 1068, 19, 204, 305, 824, 322, 339, 330, 334, 824, 1222, 19, 204, 268, 320, 204, 268, 370, 19, 1835, 289, 1714, 204, 268, 370, 19, 1454, 289, 943, 204, 268, 370, 19, 1443, 289, 824, 204, 204, 204, 676, 46819, 3368, 1655, 13, 15542, 330, 204, 264, 320, 204, 264, 2646, 437, 3877, 1545, 440, 3877, 329, 2924, 19, 204, 204, 264, 1532, 31, 204, 268, 6344, 322, 325, 330, 334, 3877, 1995, 19, 204, 268, 2924, 322, 325, 330, 334, 2924, 588, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 6344, 31, 394, 17, 2924, 31, 394, 330, 204, 268, 320, 204, 268, 977, 437, 46819, 3368, 1655, 726, 19, 204, 204, 268, 457, 31, 204, 305, 6344, 322, 325, 330, 334, 3877, 1995, 19, 204, 305, 2924, 322, 325, 330, 334, 2924, 588, 19, 204, 268, 320, 204, 268, 370, 19, 579, 289, 6344, 204, 268, 370, 19, 3424, 289, 2924, 204, 204, 204, 676, 14744, 3368, 1655, 13, 15542, 330, 204, 264, 320, 204, 264, 2646, 273, 4308, 1545, 440, 4308, 329, 11234, 19, 204, 204, 264, 1532, 31, 204, 268, 4308, 322, 325, 330, 334, 4308, 588, 19, 204, 268, 11234, 322, 1218, 64, 325, 1037, 334, 458, 302, 11234, 292, 275, 4308, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4308, 31, 394, 17, 11234, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 977, 273, 14744, 3368, 1655, 726, 19, 204, 204, 268, 457, 31, 204, 305, 4308, 322, 325, 330, 334, 4308, 588, 19, 204, 305, 11234, 322, 1218, 64, 325, 1037, 334, 458, 302, 11234, 292, 275, 4308, 19, 204, 268, 320, 204, 268, 370, 19, 4697, 289, 4308, 204, 268, 370, 19, 13953, 289, 11234, 204, 204, 204, 461, 838, 68, 809, 13, 3470, 31, 1061, 64, 325, 17, 2334, 694, 393, 20987, 31, 204, 264, 320, 204, 264, 666, 273, 570, 726, 1609, 523, 275, 537, 955, 19, 204, 204, 264, 457, 31, 204, 268, 5026, 322, 1665, 64, 325, 17, 2334, 1037, 334, 955, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 268, 20987, 31, 334, 1966, 570, 726, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 726, 1187, 353, 508, 11022, 19, 204, 264, 320, 204, 264, 314, 4347, 275, 570, 1187, 1609, 523, 275, 955, 3583, 204, 264, 397, 379, 1835, 12, 292, 5026, 31, 204, 268, 407, 7837, 1655, 7680, 3470, 14, 204, 264, 1677, 379, 579, 12, 292, 5026, 31, 204, 268, 407, 46819, 3368, 1655, 7680, 3470, 14, 204, 264, 1677, 379, 4697, 12, 292, 5026, 31, 204, 268, 407, 14744, 3368, 1655, 7680, 3470, 14, 204, 264, 902, 31, 204, 268, 980, 987, 499, 1962, 726, 431, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 7837, 1655, 726, 497, 273, 2084, 782, 204, 264, 424, 289, 36177, 1835, 559, 2031, 17, 388, 1454, 559, 388, 7444, 528, 388, 1443, 559, 368, 2867, 204, 264, 570, 289, 20987, 19, 531, 68, 1775, 13, 481, 17, 7837, 1655, 14, 204, 264, 456, 13, 809, 19, 633, 68, 1775, 1447, 204, 204, 264, 314, 666, 437, 46819, 3368, 1655, 726, 497, 273, 2084, 782, 204, 264, 424, 289, 36177, 579, 559, 388, 12595, 19, 13282, 19, 22, 19, 22, 528, 388, 3424, 559, 388, 816, 7, 2867, 204, 264, 570, 289, 20987, 19, 531, 68, 1775, 13, 481, 17, 46819, 3368, 1655, 14, 204, 264, 456, 13, 809, 19, 633, 68, 1775, 1447, 204, 204, 264, 314, 666, 273, 14744, 3368, 1655, 726, 497, 273, 2084, 782, 204, 264, 424, 289, 36177, 4697, 559, 388, 4697, 22, 528, 388, 13953, 559, 3134, 1723, 22, 528, 388, 1723, 23, 1339, 2867, 204, 264, 570, 289, 20987, 19, 531, 68, 1775, 13, 481, 17, 14744, 3368, 1655, 14, 204, 264, 456, 13, 809, 19, 633, 68, 1775, 1447, 204, 204, 264, 314, 666, 273, 570, 726, 497, 273, 955, 204, 264, 5026, 289, 2832, 1835, 559, 2031, 17, 388, 1454, 559, 388, 7444, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 528, 388, 1443, 559, 368, 98, 204, 264, 570, 289, 838, 68, 809, 13, 3470, 14, 204, 264, 456, 13, 809, 19, 633, 68, 1775, 1447, 204, 0, 647, 1361, 204, 647, 1361, 19, 12605, 204, 531, 1804, 532, 1804, 17, 690, 204, 204, 461, 3219, 68, 3247, 13, 761, 68, 2100, 31, 394, 289, 14652, 8236, 431, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 1361, 1561, 440, 970, 11882, 31, 1051, 348, 4303, 1361, 329, 3161, 348, 908, 1361, 19, 204, 204, 264, 457, 31, 204, 268, 711, 68, 2100, 322, 325, 330, 334, 1445, 1273, 711, 1860, 1120, 444, 6929, 19, 1243, 311, 14652, 8236, 2948, 204, 264, 320, 204, 264, 314, 666, 273, 2082, 204, 264, 2082, 289, 1361, 19, 6095, 499, 2301, 3342, 431, 204, 264, 2082, 19, 12419, 13, 3247, 19, 9281, 14, 204, 204, 264, 314, 666, 273, 19213, 510, 4713, 348, 4303, 1361, 204, 264, 810, 31, 204, 268, 314, 666, 275, 711, 1445, 397, 490, 5409, 2964, 1337, 204, 268, 532, 1127, 204, 268, 1127, 19, 8240, 13, 761, 68, 2100, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 268, 314, 1359, 719, 275, 19213, 510, 4713, 204, 268, 19213, 68, 553, 68, 4075, 289, 1361, 19, 12605, 19, 39280, 17707, 41017, 13, 204, 305, 2049, 34, 865, 19, 546, 19, 1541, 13, 761, 68, 2100, 17, 388, 668, 68, 3247, 19, 761, 3186, 204, 305, 1330, 1022, 6607, 11486, 528, 204, 305, 3091, 34, 22, 17, 204, 305, 12622, 7366, 34, 28, 17, 204, 305, 630, 3103, 34, 834, 13, 21, 17, 500, 17, 500, 17, 500, 14, 204, 268, 1179, 204, 268, 19213, 68, 553, 68, 4075, 19, 18870, 13, 3247, 19, 9807, 499, 7195, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 3687, 204, 268, 2082, 19, 17061, 13, 5129, 1070, 68, 553, 68, 4075, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 2710, 5976, 302, 9095, 490, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 758, 719, 19213, 510, 4713, 31, 463, 74, 743, 204, 204, 264, 314, 666, 273, 510, 4713, 348, 908, 1361, 204, 264, 810, 31, 204, 268, 908, 68, 553, 68, 4075, 289, 1361, 19, 22586, 13, 865, 19, 546, 19, 1541, 13, 761, 68, 2100, 17, 388, 718, 19, 761, 3687, 204, 268, 908, 68, 553, 68, 4075, 19, 12419, 13, 3247, 19, 8252, 14, 204, 268, 908, 68, 553, 68, 4075, 19, 18870, 13, 3247, 19, 9807, 499, 7195, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 2029, 14, 88, 2022, 7195, 31342, 14, 73, 66, 338, 4993, 1454, 14, 88, 3687, 204, 268, 2082, 19, 17061, 13, 718, 68, 553, 68, 4075, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 2710, 5976, 302, 9095, 490, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 758, 719, 908, 510, 4713, 31, 463, 74, 743, 204, 204, 264, 314, 1295, 275, 1361, 4683, 204, 264, 2082, 19, 4561, 499, 31301, 1483, 431, 204, 264, 2082, 19, 1270, 499, 5655, 1483, 431, 204, 264, 2082, 19, 9041, 499, 18928, 1483, 431, 204, 264, 2082, 19, 718, 499, 596, 1483, 431, 204, 264, 2082, 19, 19777, 499, 45928, 1483, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3219, 68, 3247, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 11761, 532, 4036, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 33236, 204, 531, 1907, 19, 1234, 19, 13722, 532, 30055, 204, 531, 1907, 19, 2918, 532, 8486, 204, 204, 8, 4861, 348, 5981, 329, 1769, 204, 26234, 68, 34065, 68, 10337, 289, 322, 204, 264, 2448, 60, 491, 379, 21760, 447, 2008, 204, 264, 2448, 50, 491, 379, 42779, 534, 204, 14, 204, 204, 33483, 68, 34065, 68, 10337, 289, 322, 204, 264, 2448, 40, 22, 491, 379, 7627, 368, 2008, 204, 264, 2448, 40, 23, 491, 379, 7627, 435, 2008, 204, 264, 2448, 40, 24, 491, 379, 7627, 571, 2008, 204, 264, 2448, 40, 25, 491, 379, 7627, 681, 2008, 204, 264, 2448, 40, 26, 491, 379, 7627, 720, 534, 204, 14, 204, 204, 33483, 68, 22258, 68, 10337, 289, 322, 204, 264, 2448, 41, 491, 379, 35190, 2008, 204, 264, 2448, 56, 491, 379, 33661, 534, 204, 14, 204, 204, 26234, 68, 22258, 68, 10337, 289, 322, 204, 264, 2448, 61, 491, 379, 13244, 14851, 2008, 204, 264, 2448, 41, 491, 379, 35190, 2008, 204, 264, 2448, 56, 491, 379, 33661, 534, 204, 14, 204, 204, 204, 676, 14851, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2871, 440, 1163, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 2871, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 2871, 19, 204, 268, 6778, 68, 2895, 322, 996, 330, 334, 6778, 2297, 302, 275, 2871, 322, 9899, 789, 204, 268, 2871, 68, 3924, 322, 325, 330, 334, 2851, 302, 275, 2871, 322, 21760, 447, 521, 35013, 789, 204, 268, 3133, 322, 339, 330, 334, 3133, 302, 275, 2871, 19, 204, 268, 3133, 68, 8637, 322, 325, 330, 334, 3133, 5674, 302, 275, 2871, 322, 21760, 447, 521, 35013, 789, 204, 268, 2342, 322, 325, 330, 334, 2342, 302, 275, 2871, 19, 204, 268, 2871, 68, 1676, 322, 325, 330, 334, 1800, 302, 275, 2871, 322, 9899, 789, 204, 268, 7286, 322, 325, 330, 334, 7286, 302, 275, 2871, 19, 204, 264, 320, 204, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 2297, 289, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 1003, 17, 4048, 68, 10474, 34, 23, 14, 204, 264, 6778, 68, 2895, 289, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 1003, 17, 4048, 68, 10474, 34, 23, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 2871, 68, 3924, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 22, 17, 5426, 34, 26234, 68, 34065, 68, 10337, 14, 204, 264, 3133, 289, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 24, 17, 4048, 68, 10474, 34, 21, 17, 10519, 3603, 26162, 13, 22, 7971, 204, 264, 3133, 68, 8637, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 22, 17, 5426, 34, 26234, 68, 34065, 68, 10337, 14, 204, 264, 2342, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 25695, 14, 204, 264, 2871, 68, 1676, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 22, 17, 5426, 34, 26234, 68, 22258, 68, 10337, 17, 3749, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 7286, 289, 1094, 19, 29752, 374, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 436, 636, 68, 10967, 68, 805, 13, 327, 330, 204, 268, 320, 6266, 275, 4923, 1274, 302, 275, 2871, 1279, 204, 268, 407, 4036, 611, 3230, 10901, 31, 10901, 18, 2036, 491, 6416, 7860, 8420, 597, 370, 19, 8420, 1937, 204, 204, 264, 436, 636, 68, 826, 68, 633, 68, 9279, 68, 805, 13, 327, 330, 204, 268, 320, 6266, 275, 1274, 311, 881, 275, 2871, 311, 275, 6099, 1279, 204, 268, 407, 4036, 611, 3230, 10901, 31, 10901, 18, 826, 18, 9279, 491, 6416, 7860, 8420, 597, 370, 19, 8420, 1937, 204, 204, 264, 436, 636, 68, 3956, 68, 531, 68, 9279, 68, 805, 13, 327, 330, 204, 268, 320, 6266, 275, 1274, 311, 3142, 275, 2871, 497, 275, 6099, 1279, 204, 268, 407, 4036, 611, 3230, 10901, 31, 10901, 18, 3956, 18, 9279, 491, 6416, 7860, 8420, 597, 370, 19, 8420, 1937, 204, 204, 204, 676, 5868, 6754, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1552, 2871, 440, 1163, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 8783, 275, 2871, 19, 204, 268, 8783, 322, 2107, 330, 2266, 275, 2871, 353, 8783, 521, 508, 19, 204, 268, 2871, 322, 6754, 330, 334, 2871, 496, 353, 8783, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 2871, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 611, 3340, 19, 2491, 491, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 8783, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 2871, 289, 1094, 19, 4483, 13, 6754, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 4474, 289, 1094, 19, 6368, 13, 2305, 34, 22, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 4705, 327, 19, 7871, 98, 302, 463, 327, 19, 2036, 19, 1778, 2867, 204, 204, 204, 676, 9342, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1184, 440, 1163, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 1184, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 1184, 19, 204, 268, 6778, 68, 2895, 322, 996, 330, 334, 6778, 2297, 302, 275, 1184, 322, 9899, 789, 204, 268, 2851, 322, 325, 330, 334, 2851, 302, 275, 1184, 19, 204, 268, 2342, 322, 325, 330, 334, 2342, 302, 275, 1184, 19, 204, 268, 1800, 322, 325, 330, 334, 1800, 302, 275, 1184, 322, 9899, 789, 204, 268, 7286, 322, 325, 330, 334, 7286, 302, 275, 1184, 19, 204, 264, 320, 204, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 2297, 289, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 1003, 17, 4048, 68, 10474, 34, 23, 14, 204, 264, 6778, 68, 2895, 289, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 1003, 17, 4048, 68, 10474, 34, 23, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 2851, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 23, 17, 5426, 34, 33483, 68, 34065, 68, 10337, 14, 204, 264, 2342, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 25695, 14, 204, 264, 1800, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 22, 17, 5426, 34, 33483, 68, 22258, 68, 10337, 17, 3749, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 7286, 289, 1094, 19, 29752, 374, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 1778, 204, 204, 204, 676, 43021, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1552, 1184, 440, 1163, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 8783, 275, 1184, 19, 204, 268, 8783, 322, 2107, 330, 2266, 275, 1184, 353, 8783, 521, 508, 19, 204, 268, 1184, 322, 4307, 330, 334, 1184, 496, 353, 8783, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 1184, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 611, 3340, 19, 2491, 491, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 8783, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 1184, 289, 1094, 19, 4483, 13, 4307, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 4474, 289, 1094, 19, 6368, 13, 2305, 34, 22, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 4705, 327, 19, 7871, 98, 302, 463, 327, 19, 1271, 19, 1778, 2867, 204, 204, 204, 676, 5868, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1552, 440, 1163, 3695, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 2927, 275, 1552, 19, 204, 268, 2871, 322, 8477, 6754, 330, 334, 6591, 496, 529, 8783, 19, 204, 268, 1012, 68, 672, 322, 2664, 330, 334, 1012, 1489, 302, 275, 1552, 19, 204, 268, 8783, 68, 672, 322, 2664, 330, 334, 1489, 1330, 275, 1552, 867, 2927, 19, 204, 268, 8783, 322, 2107, 330, 2266, 275, 1552, 353, 2927, 521, 508, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 611, 3340, 19, 2491, 491, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 2871, 289, 1094, 19, 13243, 13, 8477, 6754, 14, 204, 264, 1012, 68, 672, 289, 1094, 19, 6602, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 8783, 68, 672, 289, 1094, 19, 6602, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 8783, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 12, 8477, 463, 327, 19, 359, 98, 348, 463, 327, 19, 816, 19, 2574, 2867, 204, 0, 8, 575, 68, 481, 19, 948, 204, 204, 531, 1498, 532, 783, 17, 1061, 204, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1804, 204, 204, 37, 6611, 204, 676, 2221, 989, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1173, 575, 424, 19, 204, 204, 264, 1532, 31, 204, 264, 1276, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 264, 588, 322, 325, 330, 4014, 302, 275, 575, 19, 204, 264, 1692, 322, 325, 330, 8657, 1995, 302, 275, 575, 19, 204, 264, 6767, 68, 2302, 322, 325, 330, 4244, 1287, 1692, 1995, 302, 275, 575, 19, 204, 264, 1068, 322, 325, 330, 6119, 1068, 1483, 1465, 275, 575, 19, 204, 264, 1482, 322, 325, 330, 11812, 302, 275, 575, 19, 204, 264, 1966, 68, 269, 322, 2664, 330, 15811, 1330, 275, 575, 424, 867, 1966, 19, 204, 264, 2908, 68, 269, 322, 2664, 330, 15811, 1330, 275, 575, 424, 867, 1673, 2908, 19, 204, 264, 320, 204, 204, 264, 1276, 31, 421, 204, 264, 588, 31, 394, 204, 264, 1692, 31, 394, 204, 264, 6767, 68, 2302, 31, 394, 204, 264, 1068, 31, 394, 204, 264, 1482, 31, 394, 204, 264, 1966, 68, 269, 31, 1804, 204, 264, 2908, 68, 269, 31, 1804, 204, 204, 676, 2221, 989, 3313, 31, 204, 264, 320, 204, 264, 332, 850, 311, 4204, 575, 424, 19, 204, 204, 264, 1532, 31, 204, 264, 575, 68, 481, 68, 655, 322, 1218, 64, 2491, 989, 1037, 332, 458, 302, 575, 424, 2828, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 816, 68, 481, 68, 655, 31, 783, 64, 2491, 989, 66, 289, 1306, 204, 204, 264, 436, 838, 68, 816, 68, 481, 13, 327, 17, 588, 31, 394, 17, 1692, 31, 394, 17, 6767, 68, 2302, 31, 394, 17, 1068, 31, 394, 17, 1482, 31, 394, 14, 393, 2221, 989, 31, 204, 268, 320, 204, 268, 666, 273, 717, 575, 424, 726, 19, 204, 204, 268, 457, 31, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 575, 19, 204, 268, 1692, 322, 325, 330, 8657, 1995, 302, 275, 575, 19, 204, 268, 6767, 68, 2302, 322, 325, 330, 4244, 1287, 1692, 1995, 302, 275, 575, 19, 204, 268, 1068, 322, 325, 330, 6119, 1068, 1483, 1465, 275, 575, 19, 204, 268, 1482, 322, 325, 330, 11812, 302, 275, 575, 19, 204, 204, 268, 475, 31, 204, 268, 2221, 989, 31, 334, 9932, 1966, 575, 424, 726, 19, 204, 268, 320, 204, 268, 717, 68, 816, 68, 481, 289, 2221, 989, 13, 204, 305, 1276, 34, 1796, 13, 327, 19, 816, 68, 481, 68, 655, 14, 465, 368, 17, 204, 305, 588, 34, 417, 17, 204, 305, 1692, 34, 2302, 17, 204, 305, 6767, 68, 2302, 34, 11174, 68, 2302, 17, 204, 305, 1068, 34, 492, 17, 204, 305, 1482, 34, 1989, 17, 204, 305, 1966, 68, 269, 34, 2664, 19, 1520, 2144, 204, 305, 2908, 68, 269, 34, 2664, 19, 1520, 374, 204, 268, 1179, 204, 268, 370, 19, 816, 68, 481, 68, 655, 19, 1223, 13, 1957, 68, 816, 68, 481, 14, 204, 268, 407, 717, 68, 816, 68, 481, 204, 204, 264, 436, 636, 68, 816, 68, 481, 13, 327, 17, 575, 68, 359, 31, 421, 14, 393, 2221, 989, 31, 204, 268, 320, 204, 268, 763, 273, 575, 424, 726, 560, 1222, 19, 204, 204, 268, 457, 31, 204, 268, 575, 68, 359, 322, 339, 330, 1222, 302, 275, 575, 19, 204, 204, 268, 475, 31, 204, 268, 2221, 989, 31, 334, 575, 424, 726, 440, 275, 1713, 1222, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 348, 575, 68, 481, 292, 370, 19, 816, 68, 481, 68, 655, 31, 204, 305, 397, 575, 68, 481, 19, 359, 564, 575, 68, 359, 31, 204, 485, 407, 575, 68, 481, 204, 268, 407, 443, 204, 204, 264, 436, 1395, 68, 816, 68, 481, 13, 327, 17, 575, 68, 359, 31, 421, 17, 588, 31, 394, 289, 443, 17, 1692, 31, 394, 289, 443, 17, 6767, 68, 2302, 31, 394, 289, 443, 17, 1068, 31, 394, 289, 443, 17, 1482, 31, 394, 289, 443, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 1716, 273, 575, 424, 726, 19, 204, 204, 268, 457, 31, 204, 268, 575, 68, 359, 322, 339, 330, 1222, 302, 275, 575, 19, 204, 268, 588, 322, 325, 17, 1448, 330, 2991, 588, 302, 275, 575, 19, 1243, 311, 443, 19, 204, 268, 1692, 322, 325, 17, 1448, 330, 2991, 1692, 1995, 302, 275, 575, 19, 1243, 311, 443, 19, 204, 268, 6767, 68, 2302, 322, 325, 17, 1448, 330, 2991, 19652, 1692, 1995, 302, 275, 575, 19, 1243, 311, 443, 19, 204, 268, 1068, 322, 325, 17, 1448, 330, 2991, 4916, 1068, 1483, 1465, 275, 575, 19, 1243, 311, 443, 19, 204, 268, 1482, 322, 325, 17, 1448, 330, 2991, 1482, 302, 275, 575, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 575, 424, 867, 2908, 4073, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 575, 68, 481, 289, 370, 19, 505, 68, 816, 68, 481, 13, 816, 68, 359, 14, 204, 268, 397, 575, 68, 481, 31, 204, 305, 397, 588, 31, 204, 485, 575, 68, 481, 19, 417, 289, 588, 204, 305, 397, 1692, 31, 204, 485, 575, 68, 481, 19, 2302, 289, 1692, 204, 305, 397, 6767, 68, 2302, 31, 204, 485, 575, 68, 481, 19, 11174, 68, 2302, 289, 6767, 68, 2302, 204, 305, 397, 1068, 31, 204, 485, 575, 68, 481, 19, 492, 289, 1068, 204, 305, 397, 1482, 31, 204, 485, 575, 68, 481, 19, 1989, 289, 1482, 204, 305, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 575, 68, 481, 19, 8107, 68, 269, 289, 1804, 19, 1520, 374, 204, 305, 407, 959, 204, 268, 407, 1078, 204, 204, 264, 436, 4032, 68, 816, 68, 481, 13, 327, 17, 575, 68, 359, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 6117, 273, 575, 424, 726, 19, 204, 204, 268, 457, 31, 204, 268, 575, 68, 359, 322, 339, 330, 1222, 302, 275, 575, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 575, 424, 867, 8143, 4073, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 575, 68, 481, 289, 370, 19, 505, 68, 816, 68, 481, 13, 816, 68, 359, 14, 204, 268, 397, 575, 68, 481, 31, 204, 305, 370, 19, 816, 68, 481, 68, 655, 19, 3956, 13, 816, 68, 481, 14, 204, 305, 407, 959, 204, 268, 407, 1078, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 575, 424, 4000, 204, 264, 575, 68, 481, 68, 2754, 289, 2221, 989, 3313, 374, 204, 204, 264, 314, 666, 1429, 575, 424, 204, 264, 575, 22, 289, 575, 68, 481, 68, 2754, 19, 1510, 68, 816, 68, 481, 499, 6192, 7358, 528, 388, 12514, 37, 2569, 19, 1453, 528, 388, 12514, 37, 2569, 19, 1453, 528, 388, 1834, 353, 6901, 528, 388, 1989, 4326, 431, 204, 264, 575, 23, 289, 575, 68, 481, 68, 2754, 19, 1510, 68, 816, 68, 481, 499, 14993, 7358, 528, 388, 31949, 37, 2569, 19, 1453, 528, 388, 31949, 37, 2569, 19, 1453, 528, 388, 1834, 353, 24677, 528, 388, 1989, 4326, 431, 204, 204, 264, 314, 1198, 275, 575, 424, 204, 264, 456, 499, 2491, 1594, 2212, 204, 264, 348, 575, 292, 575, 68, 481, 68, 2754, 19, 816, 68, 481, 68, 655, 31, 204, 268, 456, 13, 75, 7, 1701, 31, 463, 816, 19, 359, 1522, 4014, 31, 463, 816, 19, 417, 1522, 8657, 31, 463, 816, 19, 2302, 1522, 6407, 8657, 31, 463, 816, 19, 11174, 68, 2302, 1522, 6547, 31, 463, 816, 19, 492, 1522, 11812, 31, 463, 816, 19, 1989, 1522, 20933, 1131, 31, 463, 816, 19, 5903, 68, 269, 1522, 22110, 1131, 31, 463, 816, 19, 8107, 68, 269, 743, 204, 204, 264, 314, 1716, 575, 424, 204, 264, 575, 68, 481, 68, 2754, 19, 2045, 68, 816, 68, 481, 13, 22, 17, 588, 1022, 6192, 7358, 22110, 431, 204, 204, 264, 314, 1198, 275, 2908, 575, 424, 204, 264, 456, 3273, 22323, 2221, 1594, 2212, 204, 264, 348, 575, 292, 575, 68, 481, 68, 2754, 19, 816, 68, 481, 68, 655, 31, 204, 268, 456, 13, 75, 7, 1701, 31, 463, 816, 19, 359, 1522, 4014, 31, 463, 816, 19, 417, 1522, 8657, 31, 463, 816, 19, 2302, 1522, 6407, 8657, 31, 463, 816, 19, 11174, 68, 2302, 1522, 6547, 31, 463, 816, 19, 492, 1522, 11812, 31, 463, 816, 19, 1989, 1522, 20933, 1131, 31, 463, 816, 19, 5903, 68, 269, 1522, 22110, 1131, 31, 463, 816, 19, 8107, 68, 269, 743, 204, 204, 264, 314, 6117, 575, 424, 204, 264, 575, 68, 481, 68, 2754, 19, 2756, 68, 816, 68, 481, 13, 23, 14, 204, 204, 264, 314, 1198, 275, 4017, 575, 424, 204, 264, 456, 3273, 83, 42873, 2221, 1594, 2212, 204, 264, 348, 575, 292, 575, 68, 481, 68, 2754, 19, 816, 68, 481, 68, 655, 31, 204, 268, 456, 13, 75, 7, 1701, 31, 463, 816, 19, 359, 1522, 4014, 31, 463, 816, 19, 417, 1522, 8657, 31, 463, 816, 19, 2302, 1522, 6407, 8657, 31, 463, 816, 19, 11174, 68, 2302, 1522, 6547, 31, 463, 816, 19, 492, 1522, 11812, 31, 463, 816, 19, 1989, 1522, 20933, 1131, 31, 463, 816, 19, 5903, 68, 269, 1522, 22110, 1131, 31, 463, 816, 19, 8107, 68, 269, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4845, 204, 647, 1127, 204, 647, 1361, 204, 204, 461, 5500, 68, 9349, 68, 2196, 13, 9349, 68, 579, 31, 394, 17, 9586, 68, 1989, 31, 394, 17, 9586, 68, 805, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 5128, 275, 7349, 1354, 1609, 523, 275, 1917, 1964, 2558, 19, 204, 204, 264, 457, 31, 204, 264, 338, 9586, 68, 579, 322, 325, 330, 334, 3877, 1995, 302, 275, 7349, 1981, 19, 204, 264, 338, 9586, 68, 1989, 322, 325, 330, 334, 1482, 348, 275, 7349, 1981, 19, 204, 264, 338, 9586, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 7349, 1981, 19, 204, 204, 264, 475, 31, 204, 264, 338, 458, 31, 334, 11352, 7349, 1354, 19, 204, 264, 320, 204, 264, 314, 977, 275, 7349, 1354, 440, 275, 1034, 1354, 329, 1236, 18, 3340, 18, 9041, 5168, 204, 264, 9840, 289, 3134, 9349, 18, 7076, 528, 5848, 1625, 18, 3340, 18, 9041, 1339, 204, 615, 264, 314, 1255, 275, 2442, 3877, 311, 275, 1354, 397, 1917, 204, 264, 397, 9586, 68, 579, 31, 204, 268, 9840, 19, 6683, 9792, 18, 77, 528, 9586, 68, 579, 694, 204, 268, 314, 1255, 275, 1482, 311, 275, 1354, 397, 1917, 204, 268, 397, 9586, 68, 1989, 31, 204, 305, 9840, 19, 6683, 9792, 18, 70, 528, 9586, 68, 1989, 694, 204, 615, 264, 314, 1255, 275, 1274, 311, 275, 1354, 397, 1917, 204, 264, 397, 9586, 68, 805, 31, 204, 268, 9840, 19, 6683, 9792, 18, 90, 528, 9586, 68, 805, 694, 204, 615, 264, 407, 9840, 204, 204, 461, 758, 68, 9349, 68, 1993, 13, 644, 31, 394, 17, 1242, 31, 394, 17, 700, 31, 394, 17, 9586, 68, 2196, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 273, 1242, 292, 7349, 974, 275, 1917, 1354, 19, 204, 204, 264, 457, 31, 204, 264, 338, 896, 322, 325, 330, 334, 896, 311, 758, 275, 1242, 348, 19, 204, 264, 338, 1242, 322, 325, 330, 334, 1242, 311, 758, 19, 204, 264, 338, 700, 322, 325, 330, 334, 700, 311, 758, 348, 275, 1242, 19, 204, 264, 338, 9586, 68, 2196, 322, 655, 330, 334, 7349, 1354, 311, 732, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5128, 275, 3101, 7349, 1354, 440, 275, 373, 574, 2661, 204, 268, 9840, 289, 9586, 68, 2196, 465, 3134, 77, 574, 528, 896, 17, 1242, 17, 700, 66, 204, 822, 268, 314, 5635, 275, 7349, 1354, 329, 5656, 275, 919, 204, 268, 513, 289, 4845, 19, 2555, 68, 1420, 13, 7414, 14, 204, 822, 268, 314, 1198, 275, 919, 204, 268, 348, 1007, 292, 513, 19, 17122, 1293, 204, 305, 456, 13, 1054, 14, 204, 264, 827, 4845, 19, 15054, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 397, 275, 1354, 4737, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 758, 7349, 1242, 31, 463, 74, 743, 204, 204, 461, 1137, 68, 5719, 68, 5592, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 275, 1945, 1964, 2558, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1135, 31, 332, 955, 1174, 275, 3271, 1964, 2558, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1945, 1964, 2558, 204, 264, 1945, 68, 5592, 289, 3134, 26062, 68, 6003, 528, 388, 4617, 528, 388, 18194, 528, 388, 11372, 1339, 204, 615, 264, 314, 1385, 275, 1964, 2558, 204, 264, 2558, 289, 463, 204, 268, 388, 9349, 68, 579, 559, 1127, 19, 12868, 499, 26062, 68, 6003, 3186, 204, 268, 388, 9349, 68, 1989, 559, 1127, 19, 12868, 499, 26062, 68, 9778, 3186, 204, 268, 388, 9349, 68, 805, 559, 1127, 19, 12868, 499, 26062, 68, 3778, 3186, 204, 268, 388, 644, 559, 1127, 19, 12868, 499, 4617, 3186, 204, 268, 388, 1993, 559, 1127, 19, 12868, 499, 18194, 3186, 204, 268, 388, 876, 559, 1127, 19, 12868, 499, 11372, 431, 204, 264, 1211, 204, 615, 264, 314, 778, 397, 830, 1945, 2558, 529, 3113, 204, 264, 397, 508, 830, 13, 5592, 64, 4415, 66, 348, 8439, 292, 1945, 68, 5592, 330, 204, 268, 1361, 19, 718, 499, 14344, 1945, 1964, 2558, 431, 204, 268, 5925, 13, 22, 14, 204, 615, 264, 407, 2558, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 1964, 2558, 204, 264, 2558, 289, 1137, 68, 5719, 68, 5592, 374, 204, 615, 264, 314, 5128, 275, 7349, 1354, 204, 264, 9586, 68, 2196, 289, 5500, 68, 9349, 68, 2196, 13, 5592, 1166, 9349, 68, 579, 2869, 2558, 1166, 9349, 68, 1989, 2869, 2558, 1166, 9349, 68, 805, 3808, 204, 615, 264, 314, 1359, 275, 7349, 1242, 204, 264, 758, 68, 9349, 68, 1993, 13, 5592, 1166, 644, 2869, 2558, 1166, 1993, 2869, 2558, 1166, 876, 2869, 9586, 68, 2196, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 6153, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 615, 264, 314, 2466, 275, 667, 741, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 1663, 68, 531, 68, 768, 13, 2435, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 273, 1525, 497, 2599, 537, 19, 204, 204, 264, 457, 31, 204, 264, 2198, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 334, 1525, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1525, 497, 2599, 537, 204, 264, 1525, 289, 1306, 204, 264, 348, 906, 292, 933, 13, 2435, 330, 204, 268, 314, 3736, 275, 537, 560, 12937, 329, 1814, 311, 1892, 204, 268, 1237, 289, 458, 13, 1608, 13, 339, 17, 537, 1528, 1590, 22620, 602, 204, 268, 1525, 19, 1223, 13, 937, 14, 204, 264, 407, 1525, 204, 204, 461, 1020, 68, 12680, 68, 1509, 68, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4395, 1029, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 4794, 2415, 860, 18, 1663, 292, 275, 800, 1525, 1273, 275, 1066, 302, 830, 1842, 353, 2202, 1194, 521, 1936, 311, 275, 1029, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 334, 1525, 19, 204, 264, 1029, 322, 339, 330, 334, 1029, 1066, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1302, 302, 275, 4794, 860, 18, 1663, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 1525, 204, 264, 771, 68, 3173, 289, 1245, 13, 1663, 14, 204, 264, 771, 68, 6103, 289, 1245, 13, 1663, 64, 21, 694, 204, 204, 264, 314, 977, 275, 1646, 1302, 302, 275, 860, 18, 1663, 204, 264, 846, 68, 835, 289, 1006, 13, 920, 68, 3173, 17, 771, 68, 6103, 14, 204, 204, 264, 314, 1861, 1048, 2237, 7539, 302, 275, 860, 18, 1663, 292, 9267, 1552, 204, 264, 348, 1302, 292, 933, 13, 1129, 68, 835, 17, 500, 17, 338, 22, 330, 204, 268, 314, 1861, 1048, 2237, 1913, 18, 1735, 4738, 302, 275, 860, 18, 1663, 204, 268, 348, 296, 292, 933, 13, 920, 68, 3173, 338, 1302, 465, 368, 330, 204, 305, 348, 781, 292, 933, 13, 920, 68, 6103, 338, 1302, 465, 368, 330, 204, 485, 314, 888, 275, 1066, 302, 275, 790, 860, 18, 1663, 204, 485, 860, 68, 1663, 68, 1303, 289, 1066, 13, 1303, 13, 937, 64, 79, 31, 79, 16, 835, 694, 348, 1237, 292, 1525, 64, 78, 31, 78, 16, 835, 694, 204, 485, 314, 828, 275, 1066, 353, 2202, 1194, 521, 1936, 311, 275, 1029, 17, 407, 275, 1302, 204, 485, 397, 860, 68, 1663, 68, 1303, 2186, 1029, 31, 204, 895, 407, 1302, 204, 204, 264, 314, 828, 1236, 860, 18, 1663, 353, 1193, 17, 407, 500, 204, 264, 407, 500, 204, 204, 461, 667, 1293, 204, 264, 314, 1606, 275, 542, 302, 3015, 292, 275, 1525, 204, 264, 771, 68, 3173, 289, 421, 13, 768, 1447, 204, 615, 264, 314, 1606, 275, 1525, 204, 264, 1525, 289, 1151, 68, 1663, 68, 531, 68, 768, 13, 920, 68, 3173, 14, 204, 615, 264, 314, 1606, 275, 1029, 1066, 204, 264, 1029, 289, 421, 13, 768, 1447, 204, 615, 264, 314, 1752, 275, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4794, 860, 18, 1663, 204, 264, 722, 289, 1020, 68, 12680, 68, 1509, 68, 1663, 13, 1663, 17, 1029, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 1300, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 204, 461, 8062, 68, 481, 13, 481, 31, 645, 19, 766, 17, 8062, 31, 1109, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2541, 45165, 275, 537, 424, 397, 8062, 353, 959, 19, 204, 204, 264, 457, 31, 204, 264, 338, 424, 322, 1123, 19, 766, 330, 334, 537, 424, 311, 444, 21029, 19, 204, 264, 338, 8062, 322, 2107, 330, 2266, 311, 8062, 275, 424, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 338, 645, 19, 766, 31, 334, 21029, 424, 397, 8062, 353, 959, 17, 2130, 275, 2171, 424, 19, 204, 264, 320, 204, 264, 314, 828, 8062, 353, 959, 17, 1900, 273, 1400, 9266, 302, 3265, 329, 732, 490, 311, 8062, 275, 424, 204, 264, 397, 8062, 31, 204, 268, 314, 645, 19, 2017, 19, 15041, 12015, 273, 1400, 9266, 302, 275, 800, 1348, 204, 268, 8062, 68, 3992, 289, 645, 19, 2017, 19, 15041, 13, 1123, 19, 8268, 13, 1796, 13, 481, 3694, 204, 268, 407, 424, 64, 12446, 68, 3992, 66, 204, 264, 902, 31, 204, 268, 314, 828, 8062, 353, 1078, 17, 407, 275, 2171, 424, 204, 268, 407, 424, 204, 204, 461, 2068, 68, 5404, 13, 204, 264, 537, 68, 481, 31, 645, 19, 766, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 6175, 31, 421, 17, 716, 264, 8062, 31, 1109, 289, 959, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 6071, 13455, 302, 424, 348, 1737, 521, 3587, 19, 204, 204, 264, 457, 31, 204, 264, 338, 537, 68, 481, 322, 1123, 19, 766, 330, 334, 537, 424, 311, 444, 39773, 19, 204, 264, 338, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 264, 338, 6175, 322, 339, 330, 334, 542, 302, 6175, 311, 1900, 13455, 348, 19, 204, 264, 338, 8062, 322, 2107, 330, 2266, 311, 8062, 275, 424, 521, 508, 19, 1243, 311, 959, 19, 204, 204, 264, 9112, 31, 204, 264, 338, 645, 19, 766, 31, 332, 2068, 302, 424, 19, 204, 264, 320, 204, 264, 314, 778, 397, 2068, 1302, 353, 1097, 204, 264, 397, 2068, 68, 835, 1323, 1245, 13, 768, 68, 481, 330, 204, 268, 980, 987, 499, 9731, 1302, 2950, 444, 5658, 1194, 424, 1302, 431, 204, 264, 314, 778, 397, 542, 302, 6175, 353, 1097, 204, 264, 397, 6175, 2186, 500, 31, 204, 268, 980, 987, 499, 4290, 302, 6175, 1631, 444, 2140, 431, 204, 204, 264, 314, 888, 275, 542, 302, 13455, 841, 3741, 204, 264, 424, 68, 835, 289, 1245, 13, 768, 68, 481, 14, 204, 264, 13455, 68, 558, 68, 4220, 289, 421, 13, 1123, 19, 16304, 13, 481, 68, 835, 802, 2068, 68, 835, 602, 226, 314, 1974, 645, 19, 16304, 311, 2906, 2910, 1273, 424, 68, 835, 353, 508, 273, 3536, 302, 2068, 68, 835, 204, 204, 264, 348, 3741, 292, 933, 13, 7064, 330, 204, 268, 314, 19447, 275, 424, 397, 8062, 353, 959, 204, 268, 21029, 68, 481, 289, 8062, 68, 481, 13, 768, 68, 481, 17, 8062, 14, 204, 268, 348, 2068, 68, 998, 292, 933, 13, 14352, 68, 558, 68, 4220, 330, 204, 305, 314, 888, 275, 1012, 329, 1136, 3265, 348, 275, 790, 2068, 204, 305, 1012, 289, 2068, 68, 998, 540, 2068, 68, 835, 204, 305, 1136, 289, 1006, 1802, 2884, 68, 998, 465, 368, 14, 540, 2068, 68, 835, 17, 424, 68, 835, 14, 204, 305, 314, 7000, 275, 790, 2068, 204, 305, 4353, 21029, 68, 481, 64, 1530, 31, 409, 66, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1672, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 537, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 931, 14, 204, 204, 264, 314, 666, 273, 2068, 4651, 204, 264, 2068, 68, 835, 289, 931, 204, 264, 6175, 289, 720, 204, 264, 8062, 289, 959, 204, 204, 264, 314, 1861, 1048, 275, 13455, 204, 264, 348, 3741, 17, 2068, 292, 3209, 13, 2884, 68, 5404, 13, 768, 68, 481, 17, 2068, 68, 835, 17, 6175, 17, 8062, 4019, 204, 268, 456, 13, 75, 7, 15934, 463, 4220, 16, 22, 1522, 11579, 2665, 31, 463, 2884, 19, 1827, 743, 204, 0, 8, 4390, 275, 15390, 850, 497, 5959, 677, 9428, 2413, 204, 531, 1907, 19, 8902, 532, 15390, 204, 204, 676, 8501, 612, 333, 60, 441, 2108, 13, 17597, 330, 204, 264, 320, 204, 264, 6408, 850, 348, 275, 8501, 612, 333, 60, 84, 60, 5959, 1650, 19, 204, 204, 264, 1058, 850, 353, 1376, 311, 5327, 275, 8501, 612, 333, 60, 84, 60, 5959, 1650, 19, 204, 264, 1547, 8913, 275, 588, 302, 275, 1650, 329, 618, 444, 1376, 311, 2811, 904, 204, 264, 1650, 18, 10667, 10608, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 5959, 1650, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 588, 302, 275, 5959, 1650, 204, 264, 588, 31, 394, 289, 379, 14426, 612, 333, 60, 84, 60, 12, 204, 204, 264, 314, 968, 273, 1216, 311, 2811, 1169, 1650, 18, 10667, 10608, 204, 264, 436, 7829, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3055, 1169, 1650, 18, 10667, 10608, 19, 204, 204, 268, 1058, 1216, 353, 3250, 1330, 275, 1650, 353, 7829, 19, 204, 268, 1547, 618, 444, 1376, 311, 2811, 1169, 1650, 18, 10667, 10608, 17, 204, 268, 1702, 448, 23173, 8432, 521, 5465, 719, 1650, 18, 10667, 1094, 19, 204, 268, 320, 204, 268, 314, 1255, 1650, 18, 10667, 10608, 3237, 204, 268, 1879, 204, 204, 8, 1165, 1265, 31, 204, 8, 592, 2557, 19, 948, 17, 732, 275, 2631, 1576, 311, 5327, 275, 1650, 31, 204, 8, 30545, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 22579, 289, 551, 204, 8, 263, 379, 14426, 612, 333, 60, 84, 60, 19, 8902, 19, 14426, 612, 333, 60, 441, 2108, 491, 204, 8, 263, 314, 5898, 7177, 2152, 204, 8, 2437, 204, 0, 8, 1094, 20, 32541, 68, 9408, 19, 948, 204, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4120, 532, 2557, 204, 204, 676, 4639, 18747, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 5197, 302, 273, 12347, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 5197, 19, 204, 268, 12347, 322, 325, 330, 334, 588, 302, 275, 12347, 19, 204, 268, 4376, 322, 325, 330, 334, 4376, 15101, 630, 275, 12347, 19, 204, 268, 4376, 68, 932, 322, 325, 330, 334, 1187, 302, 4376, 322, 74, 19, 76, 2458, 39080, 17, 23779, 789, 204, 268, 3618, 322, 325, 330, 334, 3618, 1273, 275, 12347, 353, 8441, 19, 204, 268, 17913, 68, 672, 322, 2664, 330, 334, 1489, 275, 5197, 867, 17913, 19, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 17913, 275, 5197, 19, 204, 268, 5557, 68, 765, 322, 339, 330, 334, 542, 302, 28064, 275, 5197, 869, 5445, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 5197, 19, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 437, 752, 3610, 440, 275, 5197, 19, 204, 264, 320, 204, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 12347, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 4376, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 4376, 68, 932, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 3618, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 17913, 68, 672, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 575, 289, 1094, 19, 4483, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 5557, 68, 765, 289, 1094, 19, 6368, 13, 2305, 34, 21, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 1666, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 752, 68, 805, 289, 1094, 19, 24362, 13, 1129, 68, 1205, 34, 5758, 17, 4247, 34, 1021, 17, 1540, 18590, 3749, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 273, 782, 2355, 302, 275, 5197, 1279, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 436, 636, 68, 9408, 68, 4810, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 475, 273, 955, 1174, 275, 5197, 3695, 19, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 332, 955, 1174, 275, 5197, 3695, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 379, 1778, 597, 370, 19, 1778, 17, 204, 305, 379, 32541, 597, 370, 19, 32541, 17, 204, 305, 379, 11393, 597, 370, 19, 11393, 17, 204, 305, 379, 11393, 68, 932, 597, 370, 19, 11393, 68, 932, 17, 204, 305, 379, 7321, 597, 370, 19, 7321, 17, 204, 305, 379, 31043, 68, 672, 597, 370, 19, 31043, 68, 672, 17, 204, 305, 379, 816, 597, 370, 19, 816, 19, 2574, 397, 370, 19, 816, 902, 443, 17, 204, 305, 379, 18531, 68, 765, 597, 370, 19, 18531, 68, 765, 17, 204, 305, 379, 2387, 597, 370, 19, 2387, 17, 204, 305, 379, 935, 68, 805, 597, 370, 19, 935, 68, 805, 204, 268, 1211, 204, 0, 11635, 9582, 14, 226, 30831, 1456, 18865, 204, 29080, 4839, 17, 11794, 204, 19965, 931, 338, 9402, 4839, 17, 11794, 204, 39, 2881, 41235, 13108, 14572, 638, 45786, 292, 5565, 302, 12448, 32, 204, 673, 14431, 40858, 302, 273, 21487, 6484, 3685, 15365, 412, 543, 32, 204, 38, 5924, 18, 14333, 18, 30631, 42016, 332, 9880, 311, 10134, 1158, 274, 9856, 29375, 4451, 204, 2504, 6906, 10125, 332, 361, 32133, 35396, 31961, 19, 14363, 6906, 5511, 16300, 6250, 62, 7845, 22991, 5697, 382, 11839, 472, 39094, 21060, 50, 9273, 6250, 62, 22991, 19336, 4358, 3185, 19, 204, 2157, 1108, 332, 63, 58, 63, 17, 13222, 931, 16110, 2421, 1452, 31, 204, 3070, 13222, 931, 17, 382, 69, 82, 33756, 28913, 29893, 19, 1547, 69, 88, 4382, 311, 3020, 830, 302, 2077, 44970, 3332, 275, 2688, 5319, 19, 204, 39, 2881, 41235, 13108, 14572, 638, 45786, 292, 5565, 302, 12448, 204, 3070, 2077, 1043, 2556, 17, 572, 69, 272, 6432, 872, 311, 275, 9665, 329, 22419, 302, 12448, 19, 592, 275, 29802, 1085, 302, 275, 3477, 17, 275, 17557, 1259, 302, 2991, 7149, 27067, 17, 273, 16686, 34216, 10640, 10547, 622, 2728, 719, 311, 313, 434, 321, 17, 273, 2637, 9505, 523, 275, 17557, 10828, 19, 1547, 6813, 754, 5217, 496, 12574, 302, 1880, 2080, 311, 1523, 311, 275, 36585, 521, 3074, 19381, 292, 904, 20603, 15182, 19, 5028, 27697, 3252, 2268, 27466, 275, 24991, 348, 2327, 6172, 440, 1182, 1194, 2031, 904, 1880, 311, 636, 5501, 497, 275, 5462, 19, 204, 19985, 1415, 5794, 292, 313, 434, 321, 4627, 1163, 2092, 4700, 34296, 353, 46296, 27277, 5726, 17, 2219, 1330, 1422, 69, 88, 508, 19805, 19, 4253, 275, 8608, 302, 2979, 578, 1483, 45335, 1824, 1429, 36910, 292, 275, 9373, 1465, 1662, 9233, 329, 1662, 3671, 275, 6659, 867, 2518, 490, 8043, 19, 204, 4259, 1335, 3221, 16142, 4627, 273, 542, 302, 1880, 4331, 311, 444, 12331, 348, 17925, 13462, 281, 344, 17, 1236, 1051, 353, 4520, 329, 1236, 1051, 24672, 27090, 19, 334, 34216, 10640, 16356, 3332, 6787, 13182, 17, 1465, 2846, 5261, 1466, 19593, 17, 329, 496, 69, 88, 292, 4998, 311, 34515, 302, 2147, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 913, 640, 521, 18178, 1679, 496, 24364, 19, 204, 14975, 26742, 375, 1466, 5096, 311, 2106, 5953, 11522, 19, 204, 13239, 1466, 37649, 311, 874, 275, 6659, 13782, 27846, 27147, 19, 7054, 3210, 1250, 874, 306, 8755, 2258, 754, 496, 490, 5409, 69, 89, 6813, 5395, 19, 334, 1682, 1660, 348, 16020, 1120, 444, 311, 407, 311, 1017, 13182, 329, 3020, 2075, 5252, 311, 444, 3870, 19, 204, 39, 2881, 41235, 329, 8180, 23426, 529, 2323, 32222, 292, 12448, 19, 204, 13, 15258, 18547, 44415, 14857, 53, 14, 204, 40190, 58, 63, 322, 8019, 18, 2953, 330, 22584, 18, 4397, 1659, 19019, 31, 204, 3728, 353, 275, 1350, 18, 12680, 3623, 30137, 523, 6138, 1877, 275, 34002, 36, 204, 16489, 41958, 40757, 555, 354, 17, 5624, 23773, 266, 912, 3108, 17, 4719, 308, 4085, 521, 12269, 14848, 36, 204, 7020, 275, 2308, 302, 1283, 2327, 329, 5544, 17128, 17, 275, 5624, 23773, 266, 912, 3108, 5377, 292, 448, 275, 8504, 69, 88, 1350, 4794, 3623, 30137, 19, 204, 13, 6627, 44415, 14857, 53, 14, 204, 673, 14431, 40858, 302, 273, 21487, 6484, 3685, 15365, 412, 543, 204, 7002, 275, 860, 4680, 302, 275, 5624, 23773, 6484, 3556, 448, 275, 14067, 5624, 23773, 6484, 353, 3303, 2842, 970, 7160, 5501, 497, 4151, 27621, 329, 1855, 302, 275, 7497, 6399, 529, 17877, 19, 334, 1673, 10557, 1415, 867, 6860, 43109, 13069, 523, 273, 47875, 7166, 292, 275, 10261, 9665, 302, 33386, 19, 2474, 867, 5487, 2181, 3299, 17, 928, 353, 28795, 348, 273, 23773, 266, 912, 3108, 329, 566, 2080, 273, 6273, 302, 2667, 6705, 3232, 311, 1704, 2523, 19, 4087, 17, 273, 11531, 1627, 20198, 27846, 496, 43109, 2080, 1742, 4481, 311, 5590, 19, 204, 5039, 43109, 13069, 685, 1704, 1673, 2181, 17, 566, 867, 14261, 3528, 3658, 273, 2344, 560, 24551, 36920, 19, 11815, 448, 11531, 2156, 1410, 11797, 43109, 348, 2545, 275, 1673, 10557, 14067, 5624, 23773, 6484, 17, 526, 3797, 88, 17, 1880, 1415, 15915, 4975, 3483, 10010, 7160, 17, 1410, 11797, 23773, 16800, 348, 1017, 4057, 853, 2404, 6469, 292, 14109, 17, 1250, 69, 272, 12551, 311, 23128, 1792, 3490, 292, 9712, 19, 204, 27032, 874, 6467, 1429, 302, 43109, 69, 88, 8998, 329, 1250, 69, 272, 37649, 311, 732, 490, 311, 3550, 275, 860, 4680, 13890, 19, 828, 1250, 69, 272, 37933, 17, 1250, 4627, 275, 970, 4017, 9911, 14067, 5624, 23773, 16800, 1120, 9047, 8527, 1048, 275, 1682, 17142, 17, 4461, 1605, 2220, 7160, 33678, 19, 204, 34536, 12710, 7917, 43740, 48334, 17, 13222, 38318, 30433, 18491, 31, 204, 6031, 2842, 22904, 69, 89, 7918, 1704, 2308, 39545, 19, 382, 1869, 17, 1605, 444, 26872, 872, 732, 8944, 479, 17, 1051, 302, 1475, 353, 1704, 16657, 17, 33931, 90, 17, 1704, 12892, 1805, 12926, 17, 382, 10471, 1214, 284, 619, 271, 17, 329, 1704, 16657, 17, 8249, 79, 266, 17, 529, 1048, 1422, 19, 3433, 69, 272, 275, 970, 1698, 14067, 5624, 23773, 16800, 17, 928, 353, 7656, 497, 275, 13990, 5624, 23773, 16800, 2404, 1250, 874, 14276, 13624, 17, 27221, 24824, 19, 204, 4259, 24880, 17, 43109, 867, 275, 1673, 10557, 23773, 6484, 19, 4253, 2404, 302, 8687, 453, 2772, 3299, 2523, 17, 566, 2549, 1236, 6397, 7918, 10566, 19, 4253, 572, 69, 358, 18915, 311, 275, 376, 2187, 3237, 329, 275, 13896, 17, 1335, 872, 69, 272, 15024, 17, 353, 1051, 302, 23167, 2292, 17, 448, 397, 1250, 7051, 8287, 8965, 1250, 16084, 348, 273, 2482, 690, 329, 1250, 3756, 2379, 3850, 348, 273, 2482, 690, 19, 204, 39, 3409, 292, 33482, 17, 1910, 302, 1704, 28562, 1466, 3284, 638, 747, 329, 12657, 14790, 348, 1017, 4057, 853, 292, 526, 6492, 17, 292, 808, 1085, 302, 275, 2688, 19, 4253, 630, 275, 5353, 17, 1250, 69, 272, 9221, 17, 275, 8849, 329, 275, 11531, 2156, 17, 311, 1020, 1429, 2501, 302, 378, 27852, 43109, 69, 88, 37598, 560, 437, 32557, 17, 24823, 1561, 302, 36311, 275, 12207, 302, 275, 1673, 970, 17877, 3237, 19, 1058, 353, 23055, 1688, 302, 15454, 3428, 302, 6218, 329, 47875, 7166, 19, 204, 2551, 17, 830, 353, 508, 8287, 17, 1101, 17, 302, 3200, 17, 275, 30765, 869, 311, 1307, 311, 451, 17, 448, 1880, 329, 33773, 19, 22597, 17, 23773, 16800, 874, 1742, 523, 808, 7625, 348, 9766, 5857, 2181, 329, 490, 7117, 685, 970, 15056, 311, 306, 13221, 685, 273, 4151, 860, 4680, 302, 275, 14067, 5624, 23773, 16800, 19, 204, 45, 515, 348, 273, 38413, 557, 17, 44262, 14367, 2341, 204, 38, 26333, 15291, 3857, 292, 311, 2077, 1682, 2556, 808, 26412, 17, 1101, 490, 1741, 15502, 1182, 12092, 1194, 3718, 19, 8278, 69, 88, 2075, 572, 2379, 348, 6430, 31, 1673, 3747, 17, 472, 19698, 12426, 329, 1259, 16142, 1466, 5298, 43056, 292, 275, 4410, 292, 1085, 302, 15722, 22711, 17, 292, 437, 1864, 3250, 412, 698, 2466, 19, 334, 472, 19698, 1784, 1698, 490, 867, 17, 9566, 17, 17803, 685, 11603, 21601, 3938, 26639, 4801, 292, 9401, 80, 11151, 19, 204, 4259, 4240, 29888, 316, 595, 47, 2899, 5366, 1017, 23692, 1425, 8696, 275, 12601, 302, 273, 8287, 26333, 14626, 3158, 630, 275, 4245, 17, 329, 496, 19489, 451, 311, 275, 12092, 19, 204, 837, 43517, 17, 1882, 275, 548, 19, 56, 19, 9272, 5024, 17, 275, 5765, 9211, 496, 273, 5739, 306, 10803, 951, 20554, 440, 7905, 867, 8287, 4789, 412, 698, 2466, 19, 5860, 8798, 4627, 490, 2080, 9766, 14389, 302, 7905, 17, 928, 1784, 444, 9631, 686, 8258, 5857, 5319, 19, 3846, 15250, 13217, 302, 26333, 24579, 292, 275, 1864, 17, 1236, 7905, 329, 9430, 904, 1194, 273, 4542, 8916, 24703, 869, 1742, 1193, 19, 4253, 273, 3221, 28550, 1415, 69, 88, 29018, 10566, 5366, 566, 1193, 1236, 1994, 20453, 6678, 1422, 867, 7921, 7905, 1422, 19, 204, 42738, 17, 440, 32323, 1288, 3958, 41176, 496, 9823, 36601, 17668, 5805, 867, 630, 412, 698, 2466, 17, 437, 472, 19698, 5298, 26287, 1070, 292, 275, 1864, 17, 275, 483, 272, 869, 4768, 523, 717, 3307, 19, 204, 38, 5924, 18, 14333, 18, 30631, 42016, 332, 9880, 311, 10134, 1158, 274, 9856, 29375, 4451, 204, 673, 7498, 353, 275, 4794, 3389, 292, 273, 3651, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2484, 19, 1547, 69, 88, 2090, 273, 7515, 3326, 24867, 310, 572, 830, 14709, 19, 1547, 19722, 2077, 6204, 8862, 1330, 490, 69, 88, 10546, 17, 490, 7894, 451, 10306, 2258, 1330, 572, 69, 272, 8797, 19, 204, 4259, 397, 8965, 28427, 273, 31775, 17, 1250, 13395, 275, 7103, 311, 5506, 2075, 275, 7498, 1422, 2549, 5506, 17, 2219, 397, 1250, 874, 273, 47330, 9856, 31775, 10741, 490, 19, 204, 6091, 310, 273, 20707, 1415, 69, 88, 4636, 311, 2652, 496, 19, 204, 39, 1888, 47, 6200, 1143, 313, 13799, 17, 387, 7691, 46648, 1185, 9273, 5697, 59, 5546, 1452, 31, 204, 7061, 588, 353, 33992, 313, 2265, 19, 382, 69, 82, 497, 33547, 329, 382, 69, 82, 5924, 2181, 3299, 19, 382, 3315, 20707, 329, 12656, 730, 292, 275, 1242, 302, 16589, 1868, 1679, 19, 204, 2551, 17, 16589, 1868, 1679, 529, 7051, 273, 43717, 302, 1429, 302, 275, 21050, 322, 1143, 7981, 2530, 19518, 14, 19697, 496, 3651, 7498, 11138, 451, 19, 17674, 2547, 17, 490, 69, 88, 273, 34430, 496, 618, 7211, 275, 1964, 7051, 2590, 17, 2842, 2090, 1214, 3346, 7498, 17, 329, 275, 4835, 353, 311, 444, 5096, 311, 14224, 5499, 1154, 329, 1308, 1475, 440, 275, 7211, 302, 11108, 19, 1547, 6876, 451, 311, 444, 754, 355, 41753, 1399, 329, 15597, 19, 204, 5681, 382, 867, 273, 12890, 17, 1465, 1168, 2181, 3299, 17, 382, 867, 7051, 22303, 1330, 382, 26791, 275, 388, 27219, 28058, 6405, 2546, 7, 329, 1526, 302, 37466, 21437, 6768, 1818, 35786, 28005, 92, 28851, 69, 88, 1922, 496, 566, 8287, 292, 273, 871, 48943, 9421, 19, 4253, 275, 1922, 1120, 874, 4151, 34024, 329, 275, 5499, 526, 3934, 490, 19, 2474, 69, 88, 5096, 311, 13646, 17, 329, 808, 353, 5805, 496, 5319, 69, 88, 47330, 9856, 1922, 353, 17224, 311, 7940, 7301, 19, 204, 3719, 872, 9023, 311, 6396, 521, 1880, 496, 874, 40714, 8287, 1017, 8650, 521, 2219, 1017, 13624, 17, 1330, 1250, 732, 273, 2519, 47330, 9856, 17, 1250, 69, 272, 17224, 311, 5506, 19, 4253, 808, 7051, 13605, 275, 6450, 6196, 19, 1547, 69, 88, 1742, 273, 17142, 6327, 8993, 1465, 808, 1844, 19, 204, 13, 1143, 7981, 2530, 19518, 14, 490, 69, 88, 508, 7249, 292, 273, 2501, 382, 1043, 6911, 17, 382, 4030, 490, 867, 292, 10902, 19, 332, 4542, 867, 2842, 4145, 5187, 1880, 529, 2842, 4145, 311, 4030, 1465, 1662, 872, 618, 2616, 808, 1844, 329, 572, 2080, 311, 2909, 630, 3060, 717, 7186, 19, 1785, 874, 311, 2390, 717, 7186, 19, 204, 673, 12892, 9056, 353, 17, 618, 572, 838, 437, 17287, 2585, 302, 7498, 36, 4253, 17, 872, 2379, 17, 572, 874, 3536, 5875, 28410, 299, 15483, 311, 3020, 1662, 572, 618, 7940, 496, 19, 204, 46, 7051, 4030, 572, 69, 272, 3060, 3671, 19, 1785, 874, 3303, 7001, 273, 6280, 6309, 496, 618, 9393, 15126, 311, 444, 5082, 523, 1169, 7498, 872, 3480, 19, 4087, 17, 490, 2549, 444, 1048, 275, 5641, 2484, 302, 273, 5499, 17, 521, 490, 2549, 444, 448, 2637, 448, 292, 275, 1864, 302, 1214, 14992, 14321, 19, 204, 3728, 572, 69, 272, 9221, 311, 770, 353, 311, 2652, 8615, 5187, 6218, 22476, 1025, 8615, 13029, 19, 3386, 704, 283, 5246, 447, 17, 724, 728, 865, 311, 275, 6218, 22476, 18967, 17, 872, 2379, 19, 3433, 69, 358, 3870, 437, 15548, 2624, 302, 48025, 299, 273, 5094, 19, 3846, 572, 529, 275, 6399, 17140, 322, 696, 14, 1662, 311, 1895, 496, 273, 13029, 19, 204, 1003, 10932, 302, 931, 204, 26092, 16193, 35523, 8290, 388, 1003, 685, 302, 931, 2948, 2935, 14126, 2090, 1214, 5680, 13496, 69, 88, 2342, 302, 5805, 819, 557, 17, 2234, 16193, 35523, 353, 6327, 1688, 302, 819, 879, 17254, 17, 827, 302, 30327, 299, 2258, 11340, 17, 808, 7936, 292, 12668, 353, 13626, 311, 819, 879, 2258, 27625, 329, 8341, 710, 290, 19, 12694, 9621, 31839, 17, 490, 618, 3437, 81, 521, 1662, 81, 521, 1895, 16743, 14048, 14126, 19, 204, 673, 9001, 18, 35141, 2234, 16193, 35523, 6923, 686, 25, 17, 10015, 19, 3846, 14724, 4627, 490, 869, 13972, 30464, 5501, 19, 204, 15605, 397, 490, 69, 88, 1182, 5508, 311, 3437, 81, 1194, 426, 31057, 17, 311, 31839, 1194, 3437, 17, 311, 9583, 1194, 41901, 17, 311, 1895, 6063, 1194, 2248, 526, 594, 17, 311, 3702, 719, 1194, 3702, 685, 17, 329, 311, 444, 1182, 27837, 496, 10995, 18, 88, 843, 19, 1547, 4230, 508, 16193, 719, 11285, 292, 9712, 17, 1101, 630, 3406, 490, 35523, 336, 719, 2077, 1673, 4724, 523, 13222, 931, 19, 382, 69, 82, 33756, 28913, 29893, 19, 204, 26399, 12547, 19212, 7462, 226, 38491, 24051, 226, 4796, 38151, 32726, 204, 29676, 17255, 19, 75, 7166, 16035, 19, 1453, 5610, 0, 658, 22402, 39205, 1144, 5553, 9410, 311, 47153, 204, 204, 1449, 1814, 39205, 12941, 1025, 6172, 17, 572, 732, 275, 5818, 2479, 31, 368, 5437, 289, 500, 19, 8867, 29292, 26730, 2898, 4462, 3268, 6172, 19, 204, 204, 2310, 618, 758, 719, 273, 5945, 311, 949, 275, 722, 31, 204, 22, 5437, 8473, 500, 19, 8867, 29292, 26730, 2898, 4462, 3268, 16235, 204, 32683, 5437, 8473, 480, 13, 1624, 14, 204, 204, 11471, 275, 5945, 31, 204, 49, 13, 1624, 14, 289, 39205, 5437, 2771, 500, 19, 8867, 29292, 26730, 2898, 4462, 3268, 16235, 204, 49, 13, 1624, 14, 289, 29576, 19, 3701, 25248, 4966, 3268, 6074, 16235, 204, 204, 4356, 17, 39205, 12941, 353, 6414, 311, 29576, 19, 3701, 25248, 4966, 3268, 6074, 6172, 19, 204, 204, 3070, 12212, 5356, 17, 572, 618, 4672, 808, 311, 437, 13356, 700, 31, 204, 32683, 5437, 35491, 29576, 19, 47696, 16235, 204, 204, 1834, 3210, 496, 39205, 12941, 353, 5387, 29576, 19, 47696, 6172, 19, 0, 658, 571, 32732, 329, 32920, 24513, 348, 24797, 12447, 204, 204, 5399, 529, 2327, 9819, 7694, 311, 11524, 2634, 292, 275, 3482, 20482, 11510, 31, 204, 204, 1380, 368, 19, 23578, 18363, 204, 204, 15, 334, 4799, 17768, 970, 8445, 19, 204, 15, 10677, 4122, 275, 970, 886, 4430, 329, 2493, 275, 1351, 19, 204, 15, 10677, 14774, 3855, 311, 810, 348, 1182, 1728, 521, 2106, 1017, 790, 1728, 1877, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 848, 5821, 19, 204, 15, 828, 273, 368, 353, 24920, 17, 2459, 1415, 529, 388, 46213, 292, 7, 13395, 1017, 1728, 348, 496, 4672, 19, 828, 11737, 9621, 529, 24920, 17, 1250, 13395, 830, 1017, 1728, 348, 275, 1470, 19, 204, 15, 334, 1470, 12946, 3119, 830, 720, 16108, 529, 4151, 17, 329, 275, 2384, 440, 275, 1901, 1728, 11716, 19, 204, 204, 1380, 435, 19, 12447, 471, 12594, 14744, 204, 204, 15, 332, 3264, 18, 30153, 5197, 4801, 496, 5178, 368, 8054, 311, 4609, 311, 2459, 19, 204, 15, 10677, 4151, 273, 8950, 13136, 4308, 311, 5197, 2634, 7345, 19, 204, 15, 334, 4801, 353, 21381, 329, 6876, 2459, 311, 1225, 23691, 19, 204, 204, 1380, 571, 19, 12447, 10037, 5180, 204, 204, 15, 334, 850, 353, 6167, 1025, 970, 9962, 31, 2459, 9790, 19, 275, 4799, 19, 204, 15, 10677, 5710, 273, 8415, 329, 3864, 273, 2786, 19, 828, 1250, 3864, 273, 2786, 497, 1017, 7540, 8415, 17, 1250, 636, 273, 917, 19, 828, 508, 17, 275, 4799, 8290, 273, 917, 19, 204, 15, 334, 1470, 353, 7947, 931, 2666, 17, 329, 275, 3384, 440, 275, 1901, 1728, 11716, 19, 204, 15, 6917, 275, 1470, 17, 2459, 8108, 523, 5566, 275, 1470, 353, 39897, 17, 19811, 496, 275, 4799, 2080, 273, 5092, 2634, 302, 9822, 19, 0, 647, 3805, 448, 1246, 204, 647, 23601, 68, 25116, 68, 8396, 448, 2658, 68, 747, 204, 531, 15905, 68, 8396, 532, 15738, 68, 1054, 68, 416, 68, 10129, 68, 1657, 204, 647, 1361, 204, 204, 461, 1137, 68, 416, 68, 11659, 68, 481, 13, 204, 264, 510, 68, 546, 31, 394, 17, 716, 264, 771, 68, 18366, 68, 7027, 31, 421, 17, 716, 264, 39379, 68, 20181, 31, 458, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 510, 329, 2811, 23601, 9924, 974, 14054, 19, 204, 204, 264, 457, 31, 204, 264, 338, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 537, 510, 19, 204, 264, 338, 771, 68, 18366, 68, 7027, 322, 339, 330, 3239, 302, 14054, 4550, 311, 15753, 19, 204, 264, 338, 39379, 68, 20181, 322, 655, 330, 783, 302, 39379, 12336, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 927, 1174, 275, 1561, 588, 17, 919, 1445, 17, 329, 8016, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3055, 23601, 9924, 974, 14054, 204, 268, 1561, 68, 417, 17, 919, 68, 2100, 17, 8016, 68, 481, 17, 540, 68, 289, 2658, 68, 747, 19, 546, 272, 9278, 13, 204, 305, 510, 68, 546, 17, 716, 305, 771, 68, 18366, 68, 7027, 17, 716, 305, 39379, 68, 20181, 34, 274, 1239, 84, 68, 20181, 17, 716, 305, 537, 68, 932, 1022, 25387, 2083, 528, 716, 305, 309, 92, 34, 1975, 204, 268, 1179, 204, 268, 407, 1561, 68, 417, 17, 919, 68, 2100, 17, 8016, 68, 481, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 4644, 329, 12711, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1807, 68, 2826, 13, 204, 264, 8016, 68, 481, 31, 1246, 19, 1362, 17, 716, 264, 919, 68, 2100, 31, 394, 17, 716, 264, 1561, 68, 417, 31, 394, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 8016, 424, 974, 273, 15738, 1007, 329, 11250, 1807, 19, 204, 204, 264, 457, 31, 204, 264, 338, 8016, 68, 481, 322, 2600, 19, 1362, 330, 45025, 424, 311, 1807, 19, 204, 264, 338, 919, 68, 2100, 322, 325, 330, 12985, 311, 2106, 275, 1807, 19, 204, 264, 338, 1561, 68, 417, 322, 325, 330, 6136, 588, 311, 732, 292, 275, 1807, 1724, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3045, 275, 8016, 424, 204, 268, 15738, 68, 1054, 68, 416, 68, 10129, 68, 1657, 13, 204, 305, 8016, 68, 481, 64, 21, 648, 716, 305, 8016, 68, 481, 64, 22, 648, 716, 305, 8016, 68, 481, 64, 23, 648, 716, 305, 919, 68, 2100, 34, 1420, 68, 2100, 17, 204, 305, 3840, 417, 3644, 4038, 68, 417, 465, 12895, 25387, 2083, 68, 1625, 34145, 68, 10129, 1054, 431, 204, 268, 1179, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 15905, 1563, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1359, 719, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 264, 314, 3239, 302, 14054, 4550, 204, 264, 771, 68, 18366, 68, 7027, 289, 571, 204, 204, 264, 314, 4429, 88, 204, 264, 510, 68, 546, 289, 14336, 11610, 20, 638, 569, 6335, 286, 87, 371, 20, 638, 569, 6335, 286, 87, 371, 68, 11778, 19, 15377, 12, 204, 264, 39379, 68, 20181, 289, 551, 22, 17, 435, 17, 571, 17, 681, 66, 204, 204, 264, 314, 1385, 329, 5695, 424, 204, 264, 722, 289, 1137, 68, 416, 68, 11659, 68, 481, 13, 553, 68, 546, 17, 771, 68, 18366, 68, 7027, 17, 39379, 68, 20181, 14, 204, 264, 397, 722, 31, 204, 268, 1561, 68, 417, 17, 919, 68, 2100, 17, 8016, 68, 481, 289, 722, 204, 268, 314, 2208, 8016, 424, 311, 3135, 204, 268, 8016, 68, 481, 68, 1695, 289, 1246, 19, 1362, 13, 26159, 68, 481, 14, 204, 204, 268, 314, 3045, 1563, 204, 268, 1807, 68, 2826, 13, 26159, 68, 481, 68, 1695, 17, 919, 68, 2100, 17, 1561, 68, 417, 14, 204, 264, 902, 31, 204, 268, 1361, 19, 718, 499, 3504, 311, 1137, 329, 5695, 424, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 38, 4392, 353, 23577, 292, 273, 31993, 302, 3441, 720, 3179, 19, 5028, 1653, 302, 275, 4392, 353, 523, 275, 8035, 302, 275, 31993, 329, 970, 302, 275, 5855, 302, 275, 4392, 529, 523, 275, 31993, 19, 204, 204, 1380, 1687, 368, 31, 4456, 273, 570, 302, 275, 8642, 204, 204, 3661, 275, 2902, 302, 275, 4392, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 424, 1348, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 424, 68, 643, 322, 1123, 19, 766, 330, 4429, 424, 1348, 440, 2665, 322, 83, 68, 4077, 17, 300, 68, 4588, 14, 204, 264, 338, 19326, 322, 1123, 19, 766, 330, 24346, 1019, 348, 848, 3906, 204, 264, 338, 1006, 68, 3174, 322, 339, 330, 14623, 1759, 1283, 22780, 3780, 322, 2305, 31, 931, 14, 204, 204, 264, 475, 31, 204, 264, 338, 458, 31, 783, 302, 22780, 14368, 348, 848, 3906, 204, 264, 320, 204, 264, 314, 2175, 3442, 1019, 348, 17114, 5356, 204, 264, 2082, 19, 4561, 13, 75, 12, 29807, 88, 31, 463, 26765, 3501, 204, 204, 264, 314, 888, 424, 10207, 329, 846, 1019, 348, 848, 3906, 204, 264, 3906, 68, 16232, 289, 645, 19, 8268, 13, 26765, 19, 1827, 64, 21, 694, 204, 264, 424, 68, 13989, 289, 645, 19, 386, 85, 13, 481, 68, 643, 17, 3138, 34, 21, 14, 204, 264, 846, 68, 1309, 289, 645, 19, 1129, 13, 481, 68, 643, 17, 3138, 34, 21, 14, 204, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 22780, 14368, 204, 264, 22780, 68, 16232, 289, 1306, 204, 204, 264, 314, 1861, 1048, 848, 3906, 329, 1020, 22780, 14368, 204, 264, 348, 3906, 17, 3442, 17, 846, 68, 876, 17, 424, 68, 2307, 292, 4337, 13, 4782, 68, 16232, 17, 19326, 17, 846, 68, 1309, 17, 424, 68, 13989, 330, 204, 268, 314, 888, 275, 3442, 700, 348, 7942, 7151, 204, 268, 377, 494, 289, 322, 5053, 465, 846, 68, 876, 14, 802, 424, 68, 2307, 204, 822, 268, 314, 1974, 7942, 2918, 311, 1020, 22780, 14368, 204, 268, 22780, 68, 998, 289, 11491, 19, 16232, 2422, 481, 68, 643, 3460, 3906, 648, 377, 494, 34, 427, 494, 17, 1006, 68, 5249, 34, 885, 68, 3174, 14, 204, 822, 268, 314, 5230, 275, 22780, 14368, 311, 275, 458, 204, 268, 22780, 68, 16232, 19, 1223, 13, 33507, 68, 998, 14, 204, 204, 264, 407, 22780, 68, 16232, 204, 204, 204, 461, 5500, 68, 33507, 68, 643, 13, 204, 264, 424, 68, 643, 31, 645, 19, 766, 17, 716, 264, 22780, 68, 16232, 31, 458, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5128, 273, 22780, 1348, 497, 22780, 14368, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 424, 68, 643, 322, 1123, 19, 766, 330, 4429, 424, 1348, 440, 2665, 322, 83, 68, 4077, 17, 300, 68, 4588, 14, 204, 264, 338, 22780, 68, 16232, 322, 655, 330, 783, 302, 22780, 14368, 348, 848, 3906, 204, 204, 264, 475, 31, 204, 264, 338, 645, 19, 766, 31, 387, 39837, 1348, 440, 2665, 322, 83, 68, 4077, 17, 300, 68, 4588, 14, 204, 264, 320, 204, 264, 314, 977, 273, 22780, 1348, 440, 7152, 204, 264, 22780, 68, 643, 289, 645, 19, 4324, 68, 4995, 13, 481, 68, 643, 14, 204, 204, 264, 314, 1861, 1048, 848, 3906, 329, 758, 22780, 1019, 311, 368, 204, 264, 348, 3906, 17, 22780, 68, 998, 292, 3209, 13, 33507, 68, 16232, 330, 204, 268, 22780, 68, 643, 64, 33507, 68, 998, 17, 3906, 66, 289, 368, 204, 204, 264, 407, 22780, 68, 643, 204, 204, 204, 461, 636, 68, 20052, 3934, 13, 204, 264, 424, 31, 645, 19, 766, 17, 716, 264, 19326, 31, 645, 19, 766, 17, 716, 264, 1006, 68, 3174, 31, 421, 289, 931, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 763, 22780, 1348, 497, 424, 329, 19326, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 424, 322, 1123, 19, 766, 330, 4429, 424, 1348, 440, 2665, 322, 83, 68, 4077, 17, 300, 68, 4588, 14, 204, 264, 338, 19326, 322, 1123, 19, 766, 330, 24346, 1019, 348, 848, 3906, 204, 264, 338, 1006, 68, 3174, 322, 339, 330, 14623, 1759, 1283, 22780, 3780, 322, 2305, 31, 931, 14, 204, 204, 264, 475, 31, 204, 264, 338, 645, 19, 766, 31, 387, 39837, 1348, 440, 2665, 322, 83, 68, 4077, 17, 300, 68, 4588, 14, 204, 264, 320, 204, 264, 314, 1752, 22780, 14368, 204, 264, 22780, 68, 16232, 289, 1020, 68, 33507, 68, 16232, 13, 481, 17, 19326, 17, 1006, 68, 3174, 14, 204, 615, 264, 314, 5128, 275, 22780, 1348, 204, 264, 22780, 68, 643, 289, 5500, 68, 33507, 68, 643, 13, 481, 17, 22780, 68, 16232, 14, 204, 204, 264, 407, 22780, 68, 643, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1672, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 424, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 720, 14, 204, 204, 264, 314, 968, 19326, 204, 264, 19326, 289, 645, 19, 643, 1568, 21, 19, 26, 17, 500, 19, 27, 17, 500, 19, 28, 17, 500, 19, 29, 17, 500, 19, 30, 694, 204, 204, 264, 314, 763, 22780, 1348, 204, 264, 22780, 68, 643, 289, 636, 68, 20052, 3934, 13, 481, 17, 19326, 14, 204, 204, 264, 314, 1198, 275, 22780, 1348, 204, 264, 456, 13, 33507, 68, 643, 14, 204, 0, 531, 8378, 532, 2621, 204, 647, 1875, 204, 531, 1498, 532, 5006, 17, 2334, 17, 16195, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 3022, 68, 7522, 19, 804, 532, 42380, 204, 647, 5683, 204, 204, 8, 968, 273, 3324, 348, 275, 7349, 2442, 204, 26062, 68, 8737, 289, 2557, 19, 26062, 68, 8737, 204, 204, 8, 968, 273, 11598, 348, 275, 15029, 1586, 204, 37, 6598, 19, 8999, 13, 8871, 833, 2488, 534, 204, 461, 20348, 68, 1087, 374, 393, 16195, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 475, 275, 15029, 1586, 19, 204, 204, 264, 475, 31, 204, 268, 16195, 64, 325, 17, 394, 744, 334, 15029, 1586, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 379, 21768, 68, 805, 597, 283, 7188, 1772, 16531, 26062, 68, 8737, 7798, 204, 268, 379, 1300, 68, 10680, 597, 283, 7188, 1772, 16531, 26062, 68, 8737, 2867, 204, 264, 1211, 204, 204, 8, 968, 273, 11598, 348, 275, 1893, 1545, 204, 37, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6598, 19, 8999, 204, 461, 3923, 68, 1723, 374, 393, 42380, 31, 204, 264, 320, 204, 264, 475, 437, 1014, 302, 275, 1893, 1545, 19, 204, 204, 264, 475, 31, 204, 268, 42380, 31, 334, 1893, 1545, 19, 204, 264, 320, 204, 264, 407, 42380, 374, 204, 204, 8, 968, 273, 11598, 348, 275, 15029, 7259, 2072, 204, 37, 6598, 19, 8999, 13, 8871, 833, 2488, 534, 204, 461, 20348, 68, 11678, 68, 3465, 374, 393, 16195, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 475, 275, 15029, 7259, 2072, 19, 204, 204, 264, 1058, 618, 444, 1376, 311, 7072, 27111, 275, 7259, 1120, 11111, 4625, 497, 19, 204, 204, 264, 475, 31, 204, 268, 16195, 64, 325, 17, 2334, 744, 334, 15029, 7259, 2072, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 314, 20786, 275, 17303, 1356, 311, 4516, 28867, 4394, 204, 268, 379, 10403, 68, 8668, 68, 2555, 597, 1078, 17, 204, 264, 1211, 204, 204, 8, 968, 273, 741, 311, 6767, 521, 838, 273, 2084, 510, 204, 461, 6767, 68, 276, 68, 1510, 68, 1775, 13, 204, 264, 2049, 31, 394, 17, 716, 264, 1812, 68, 1775, 31, 1135, 17, 716, 264, 12783, 31, 5006, 8538, 873, 17, 1135, 648, 443, 66, 289, 443, 17, 716, 264, 1688, 270, 31, 5006, 8538, 873, 648, 1135, 66, 289, 443, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11885, 397, 275, 2084, 510, 2560, 329, 1163, 1666, 4083, 275, 1812, 2084, 19, 204, 264, 828, 275, 510, 1583, 508, 1337, 17, 490, 6609, 275, 510, 440, 275, 1812, 2084, 1666, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 2084, 510, 19, 204, 268, 1812, 68, 1775, 322, 873, 330, 334, 1812, 2084, 1666, 19, 204, 268, 12783, 322, 9261, 8538, 873, 17, 1135, 648, 443, 648, 1448, 330, 332, 741, 311, 9749, 275, 1812, 329, 2641, 2084, 1666, 19, 1243, 311, 443, 19, 204, 268, 1688, 270, 322, 9261, 8538, 873, 648, 1135, 648, 1448, 330, 332, 741, 311, 1688, 275, 2084, 1666, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2621, 726, 348, 275, 510, 204, 264, 832, 289, 2621, 13, 2029, 14, 204, 615, 264, 810, 31, 204, 268, 314, 778, 397, 275, 510, 2560, 204, 268, 397, 832, 19, 4332, 1293, 204, 305, 314, 3594, 275, 510, 329, 1137, 275, 2084, 1666, 204, 305, 440, 832, 19, 3664, 13, 10043, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 485, 2641, 68, 1775, 289, 1875, 19, 986, 13, 553, 14, 204, 7933, 485, 314, 3291, 275, 12783, 741, 397, 1917, 204, 485, 397, 12783, 31, 204, 895, 12783, 13, 11991, 68, 1775, 17, 1812, 68, 1775, 14, 204, 7933, 485, 314, 3291, 275, 1688, 270, 741, 397, 1917, 204, 485, 397, 1688, 270, 31, 204, 895, 1812, 68, 1775, 289, 1688, 270, 13, 5477, 68, 1775, 14, 204, 895, 2641, 68, 1775, 289, 1688, 270, 13, 11991, 68, 1775, 14, 204, 7933, 485, 314, 4416, 496, 275, 1812, 329, 2641, 2084, 1666, 2216, 204, 485, 2136, 1812, 68, 1775, 564, 2641, 68, 1775, 204, 268, 902, 31, 204, 305, 314, 666, 275, 510, 440, 275, 1812, 2084, 1666, 204, 305, 440, 832, 19, 3664, 499, 92, 528, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 485, 1875, 19, 4573, 13, 5477, 68, 1775, 17, 510, 14, 204, 264, 827, 1875, 19, 10816, 448, 318, 31, 204, 268, 314, 1426, 2084, 15183, 2744, 204, 268, 456, 13, 75, 7, 596, 15183, 2084, 31, 463, 74, 743, 204, 204, 8, 968, 273, 741, 311, 6767, 521, 838, 273, 510, 204, 461, 6767, 68, 276, 68, 1510, 68, 553, 13, 204, 264, 2049, 31, 394, 17, 716, 264, 722, 31, 3154, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11885, 397, 275, 510, 2560, 329, 1163, 1666, 4083, 275, 1812, 722, 19, 204, 264, 828, 275, 510, 1583, 508, 1337, 17, 490, 6609, 275, 510, 440, 275, 1812, 722, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 510, 19, 204, 268, 722, 322, 3881, 330, 334, 1812, 510, 1666, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2621, 726, 348, 275, 510, 204, 264, 832, 289, 2621, 13, 2029, 14, 204, 615, 264, 810, 31, 204, 268, 314, 778, 397, 275, 510, 2560, 204, 268, 397, 832, 19, 4332, 1293, 204, 305, 314, 3594, 275, 510, 329, 1151, 275, 1666, 204, 305, 440, 832, 19, 3664, 611, 6952, 534, 448, 510, 31, 204, 485, 1812, 289, 510, 19, 976, 374, 204, 485, 314, 4416, 496, 275, 1812, 329, 2641, 1666, 2216, 204, 485, 2136, 1812, 564, 722, 204, 268, 902, 31, 204, 305, 314, 666, 275, 510, 440, 275, 1812, 1666, 204, 305, 440, 832, 19, 3664, 499, 9220, 431, 448, 510, 31, 204, 485, 510, 19, 2206, 13, 1300, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 510, 4488, 329, 4695, 2744, 204, 268, 456, 13, 75, 7, 596, 4488, 521, 4695, 510, 31, 463, 74, 743, 204, 204, 8, 968, 273, 741, 311, 1688, 2048, 560, 1724, 292, 33527, 424, 204, 461, 1688, 68, 2226, 68, 1424, 68, 1778, 13, 481, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 14967, 275, 2048, 292, 275, 33527, 424, 560, 1724, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 873, 330, 334, 33527, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 2282, 33527, 424, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 424, 311, 4516, 11227, 275, 2171, 204, 264, 2282, 68, 481, 289, 424, 19, 3462, 374, 204, 615, 264, 314, 4641, 275, 2048, 560, 1724, 204, 264, 2282, 68, 481, 1166, 2226, 1339, 289, 2282, 13, 204, 268, 2282, 68, 481, 19, 505, 499, 2226, 528, 40653, 204, 268, 896, 34, 3605, 303, 31, 303, 19, 505, 611, 6664, 491, 14826, 505, 611, 1778, 534, 204, 264, 1179, 204, 615, 264, 407, 2282, 68, 481, 204, 204, 8, 1165, 1265, 31, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 1429, 1763, 424, 204, 264, 1763, 68, 481, 289, 463, 204, 268, 388, 2226, 559, 551, 204, 305, 2832, 6664, 559, 2832, 1778, 559, 388, 63, 6669, 1522, 204, 305, 2832, 6664, 559, 2832, 1778, 559, 388, 38, 6669, 1522, 204, 305, 2832, 6664, 559, 2832, 1778, 559, 388, 39, 6669, 1522, 204, 268, 2437, 204, 264, 1211, 204, 615, 264, 314, 4641, 275, 2048, 560, 1724, 204, 264, 2282, 68, 481, 289, 1688, 68, 2226, 68, 1424, 68, 1778, 13, 2569, 68, 481, 14, 204, 615, 264, 314, 1198, 275, 2282, 424, 204, 264, 456, 13, 5518, 68, 481, 14, 204, 615, 264, 314, 6407, 521, 838, 273, 2084, 510, 204, 264, 6767, 68, 276, 68, 1510, 68, 1775, 499, 2569, 19, 1775, 528, 2282, 68, 481, 14, 204, 615, 264, 314, 6407, 521, 838, 273, 510, 204, 264, 6767, 68, 276, 68, 1510, 68, 553, 499, 2569, 19, 3039, 528, 308, 7, 5975, 17, 5179, 5397, 204, 0, 647, 1127, 204, 647, 4845, 204, 531, 1498, 532, 783, 17, 1535, 204, 531, 4845, 532, 1356, 68, 1420, 17, 22950, 14591, 204, 204, 647, 5683, 204, 204, 531, 6934, 19, 660, 19, 3978, 19, 553, 68, 3978, 532, 3142, 68, 2100, 204, 531, 6934, 19, 804, 19, 804, 68, 1087, 532, 311, 68, 12349, 17, 15521, 68, 15140, 204, 531, 6934, 19, 660, 19, 7076, 19, 13812, 532, 415, 2863, 11839, 68, 34852, 17, 415, 23658, 68, 8516, 204, 531, 6934, 19, 660, 19, 3978, 19, 5491, 88, 532, 15521, 68, 6355, 68, 4082, 17, 14857, 68, 4082, 204, 204, 8, 4861, 204, 9593, 5895, 28423, 68, 13839, 289, 379, 8582, 12, 204, 10059, 4524, 68, 35841, 57, 3096, 68, 14984, 289, 379, 8344, 68, 1590, 1693, 12, 204, 15258, 43231, 68, 35841, 57, 3096, 68, 14984, 289, 379, 12505, 68, 1590, 1693, 12, 204, 9593, 5895, 28423, 68, 11927, 68, 14984, 289, 379, 8582, 68, 1420, 12, 204, 8589, 68, 6355, 68, 4082, 289, 1127, 19, 546, 19, 1541, 13, 8004, 68, 6355, 68, 4082, 17, 379, 7076, 491, 379, 7963, 534, 204, 6355, 68, 15258, 43231, 68, 35841, 57, 3096, 68, 4082, 289, 1127, 19, 546, 19, 1541, 13, 8589, 68, 6355, 68, 4082, 17, 22991, 43231, 68, 35841, 57, 3096, 68, 14984, 14, 204, 6355, 68, 10059, 4524, 68, 35841, 57, 3096, 68, 4082, 289, 1127, 19, 546, 19, 1541, 13, 8589, 68, 6355, 68, 4082, 17, 24256, 4524, 68, 35841, 57, 3096, 68, 14984, 14, 204, 37815, 68, 39099, 3057, 6454, 289, 379, 5207, 24, 12, 204, 53, 2863, 11839, 68, 31961, 289, 379, 7963, 19, 948, 12, 204, 204, 37, 6598, 19, 2472, 19, 12349, 403, 13, 633, 68, 12349, 13, 1976, 68, 3909, 68, 2201, 34, 8004, 68, 15140, 19, 14448, 659, 5127, 34, 8004, 68, 15140, 19, 14448, 19, 876, 14, 204, 676, 1295, 53, 9627, 35262, 31, 204, 204, 264, 1642, 4460, 204, 264, 436, 636, 68, 2196, 68, 1054, 68, 1038, 13, 2645, 31, 783, 64, 325, 648, 424, 68, 546, 31, 394, 289, 20229, 68, 15258, 43231, 68, 35841, 57, 3096, 68, 4082, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 475, 275, 1354, 18, 1054, 1906, 348, 275, 11830, 3467, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1218, 64, 325, 1037, 334, 2072, 348, 275, 11830, 3467, 19, 204, 305, 424, 68, 546, 322, 325, 330, 334, 832, 311, 275, 424, 19, 1243, 311, 20229, 68, 15258, 43231, 68, 35841, 57, 3096, 68, 4082, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 334, 1354, 18, 1054, 1906, 19, 204, 268, 320, 204, 268, 407, 551, 37815, 68, 39099, 3057, 6454, 17, 1127, 19, 546, 19, 1541, 13, 14448, 68, 4082, 17, 415, 2863, 11839, 68, 31961, 659, 424, 68, 546, 66, 465, 3737, 204, 204, 264, 1642, 4460, 204, 264, 1642, 6598, 19, 8999, 13, 8871, 1022, 2539, 528, 204, 895, 3737, 3603, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 648, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 4403, 68, 6217, 2613, 68, 3458, 1318, 19, 876, 648, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 3759, 2079, 2043, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 2079, 2043, 204, 895, 9174, 204, 264, 436, 1097, 68, 1657, 68, 3465, 13, 1443, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 475, 275, 1097, 1807, 2072, 348, 275, 683, 1322, 19, 204, 204, 268, 457, 31, 204, 305, 824, 31, 334, 5683, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 334, 1097, 1807, 2072, 19, 204, 268, 320, 204, 268, 407, 824, 19, 2394, 204, 204, 264, 1642, 4460, 204, 264, 1642, 6598, 19, 8999, 13, 8871, 1022, 2539, 528, 204, 895, 3737, 3603, 204, 2058, 2470, 32303, 68, 1657, 68, 932, 68, 876, 2043, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 8516, 68, 2530, 14152, 19, 876, 17, 379, 32303, 68, 932, 68, 511, 325, 2043, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 2421, 7622, 68, 8516, 19, 876, 17, 379, 32303, 68, 10735, 68, 932, 2043, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 32303, 68, 2478, 2043, 204, 2058, 314, 24058, 13218, 31, 5004, 17, 40030, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 3759, 21105, 2043, 204, 2058, 551, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 21105, 2043, 204, 895, 9174, 204, 264, 436, 2872, 68, 1657, 68, 3465, 13, 1443, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 475, 275, 2872, 1807, 2072, 348, 275, 683, 1322, 19, 204, 204, 268, 457, 31, 204, 305, 824, 31, 334, 5683, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 334, 2872, 1807, 2072, 19, 204, 268, 320, 204, 268, 407, 824, 19, 2394, 204, 204, 264, 1642, 6598, 19, 2472, 19, 16402, 499, 2645, 17, 1812, 68, 4108, 528, 551, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 648, 443, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 4403, 68, 6217, 2613, 68, 3458, 1318, 19, 876, 648, 443, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 3759, 2079, 2043, 443, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 2079, 2043, 443, 659, 204, 268, 322, 736, 32303, 68, 1657, 68, 932, 68, 876, 2043, 22950, 14591, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 8516, 68, 2530, 14152, 19, 876, 17, 379, 32303, 68, 932, 68, 511, 325, 2043, 22950, 14591, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 2421, 7622, 68, 8516, 19, 876, 17, 379, 32303, 68, 10735, 68, 932, 2043, 22950, 14591, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 32303, 68, 2478, 2043, 22950, 14591, 659, 204, 268, 314, 24058, 13218, 31, 5004, 17, 40030, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 3759, 21105, 2043, 22950, 14591, 659, 204, 268, 16509, 32051, 68, 8516, 19, 23966, 3225, 6003, 33347, 68, 18898, 3048, 13606, 2613, 19, 876, 17, 415, 2863, 11839, 68, 34852, 19, 13538, 19, 876, 17, 379, 21105, 2043, 22950, 14591, 659, 204, 264, 9174, 204, 264, 436, 683, 68, 7963, 13, 327, 17, 3737, 31, 783, 64, 325, 648, 1812, 68, 4108, 31, 1535, 64, 932, 694, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 275, 11830, 3467, 440, 275, 800, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1218, 64, 325, 1037, 334, 2072, 348, 275, 11830, 3467, 19, 204, 305, 1812, 68, 4108, 322, 4437, 64, 932, 1037, 334, 1812, 2710, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2466, 275, 11830, 3467, 440, 275, 800, 2072, 204, 305, 919, 31, 3154, 289, 1356, 68, 1420, 13, 327, 19, 505, 68, 2196, 68, 1054, 68, 1038, 13, 2645, 602, 204, 305, 314, 6117, 275, 717, 19035, 204, 305, 3142, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 8589, 68, 6355, 68, 4082, 17, 283, 4705, 15258, 43231, 68, 35841, 57, 3096, 68, 14984, 7449, 9593, 5895, 28423, 68, 11927, 68, 14984, 98, 3063, 204, 305, 3142, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 8589, 68, 6355, 68, 4082, 17, 23638, 5895, 28423, 68, 13839, 602, 204, 268, 827, 1812, 68, 4108, 448, 318, 31, 204, 305, 314, 2175, 521, 456, 275, 908, 943, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 305, 2136, 959, 204, 268, 902, 31, 204, 305, 397, 1812, 68, 4108, 353, 508, 443, 31, 204, 485, 2136, 1078, 17, 388, 11741, 2710, 508, 7514, 7, 204, 0, 531, 1907, 19, 804, 532, 14131, 204, 531, 1907, 19, 3968, 532, 4036, 17, 14642, 204, 204, 531, 8798, 19, 1618, 532, 16949, 204, 204, 676, 2221, 45754, 5418, 13, 5418, 330, 204, 264, 320, 204, 264, 5458, 348, 275, 575, 13036, 7800, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 2631, 13761, 31, 204, 264, 338, 1295, 275, 575, 13036, 1274, 19, 204, 264, 338, 1295, 275, 575, 13036, 1274, 588, 19, 204, 264, 338, 1295, 496, 273, 4559, 824, 2584, 273, 36452, 1714, 1576, 19, 204, 264, 338, 1295, 496, 273, 6379, 824, 2584, 273, 39203, 1714, 1576, 19, 204, 264, 338, 1295, 496, 275, 6379, 958, 3192, 273, 943, 19, 204, 264, 338, 1295, 496, 275, 6379, 958, 1666, 1187, 353, 1650, 20, 1775, 19, 204, 264, 320, 204, 204, 264, 314, 1295, 424, 204, 264, 15521, 68, 12986, 289, 388, 46607, 37, 13260, 19, 1453, 7, 204, 264, 15521, 68, 9778, 289, 388, 9256, 4326, 9851, 204, 264, 15521, 68, 6520, 68, 6355, 289, 463, 204, 268, 388, 2302, 559, 15521, 68, 12986, 17, 204, 268, 388, 1989, 559, 15521, 68, 9778, 204, 264, 1211, 204, 204, 264, 1642, 6649, 204, 264, 436, 9498, 48043, 13, 4621, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 719, 683, 424, 19, 204, 204, 268, 1058, 1216, 353, 3250, 5602, 2518, 830, 683, 2986, 292, 808, 683, 1322, 19, 204, 268, 320, 204, 268, 4963, 19, 12249, 68, 805, 289, 4036, 611, 10764, 31, 12249, 534, 204, 268, 4963, 19, 3424, 68, 805, 289, 4036, 611, 10764, 31, 3424, 534, 204, 268, 4963, 19, 14914, 68, 805, 289, 4036, 611, 10764, 31, 14914, 534, 204, 268, 4963, 19, 34570, 289, 14642, 4195, 4162, 20, 14914, 15357, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 204, 264, 436, 4080, 68, 804, 68, 816, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 6676, 273, 683, 575, 19, 204, 204, 268, 1058, 1216, 16008, 273, 683, 575, 974, 275, 683, 575, 424, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 683, 575, 204, 268, 370, 19, 1723, 19, 2288, 13, 546, 34, 327, 19, 12249, 68, 805, 17, 424, 34, 327, 19, 8004, 68, 6520, 68, 6355, 17, 1666, 68, 932, 1022, 5580, 20, 1775, 431, 204, 204, 264, 436, 2924, 68, 804, 68, 816, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 8196, 275, 683, 575, 19, 204, 204, 268, 1058, 1216, 8874, 292, 275, 683, 575, 974, 275, 683, 575, 424, 19, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 334, 2924, 958, 19, 204, 268, 320, 204, 268, 314, 8196, 275, 683, 575, 204, 268, 407, 370, 19, 1723, 19, 2288, 13, 546, 34, 327, 19, 3424, 68, 805, 17, 424, 34, 327, 19, 8004, 68, 6520, 68, 6355, 17, 1666, 68, 932, 1022, 5580, 20, 1775, 5561, 1775, 374, 204, 204, 264, 436, 13036, 68, 804, 68, 816, 13, 327, 17, 2924, 68, 1935, 31, 1135, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 30626, 275, 683, 575, 19, 204, 204, 268, 1058, 1216, 8874, 685, 275, 683, 575, 974, 275, 2924, 958, 19, 204, 204, 268, 457, 31, 204, 305, 2924, 68, 1935, 322, 873, 330, 334, 2924, 958, 19, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 334, 13036, 958, 19, 204, 268, 320, 204, 268, 314, 30626, 275, 683, 575, 204, 268, 407, 370, 19, 1723, 19, 2288, 13, 546, 34, 327, 19, 14914, 68, 805, 17, 424, 34, 3424, 68, 1935, 17, 1666, 68, 932, 1022, 5580, 20, 1775, 5561, 1775, 374, 204, 204, 264, 436, 683, 68, 816, 68, 14914, 68, 805, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 575, 13036, 1274, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 275, 13036, 1274, 353, 1706, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 13036, 1274, 353, 1706, 204, 268, 370, 19, 2978, 13, 327, 19, 14914, 68, 805, 17, 5014, 4162, 20, 14914, 15357, 204, 204, 264, 436, 683, 68, 816, 68, 14914, 68, 805, 68, 417, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 575, 13036, 1274, 588, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 275, 13036, 1274, 588, 353, 1706, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 13036, 1274, 588, 353, 1706, 204, 268, 370, 19, 2978, 13, 327, 19, 34570, 19, 805, 68, 417, 17, 379, 14914, 534, 204, 204, 264, 436, 683, 68, 505, 68, 1443, 68, 13968, 68, 32629, 68, 1835, 68, 1181, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 273, 4559, 824, 2584, 273, 36452, 1714, 1576, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 273, 4559, 824, 311, 275, 13036, 1274, 2584, 273, 36452, 1714, 1576, 19, 204, 268, 320, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 13036, 1274, 204, 268, 958, 289, 370, 19, 1723, 19, 505, 13, 546, 34, 327, 19, 14914, 68, 805, 14, 204, 268, 314, 778, 397, 275, 1714, 1576, 353, 36452, 204, 268, 370, 19, 2978, 13, 1935, 19, 1835, 68, 1181, 17, 36452, 14, 204, 204, 264, 436, 683, 68, 2288, 68, 1443, 68, 13968, 68, 32906, 68, 1835, 68, 1181, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 273, 6379, 824, 2584, 273, 39203, 1714, 1576, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 273, 6379, 824, 311, 275, 13036, 1274, 2584, 273, 39203, 1714, 1576, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 683, 575, 204, 268, 370, 19, 4216, 68, 804, 68, 816, 374, 204, 268, 314, 8196, 275, 683, 575, 204, 268, 2924, 68, 1935, 289, 370, 19, 3424, 68, 804, 68, 816, 374, 204, 268, 314, 30626, 275, 683, 575, 204, 268, 958, 289, 370, 19, 14914, 68, 804, 68, 816, 13, 3424, 68, 1935, 14, 204, 268, 314, 778, 397, 275, 1714, 1576, 353, 39203, 204, 268, 370, 19, 2978, 13, 1935, 19, 1835, 68, 1181, 17, 39203, 14, 204, 204, 264, 436, 683, 68, 2288, 68, 1935, 68, 12930, 68, 1454, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 6379, 958, 3192, 273, 943, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 275, 6379, 958, 311, 275, 13036, 1274, 3192, 273, 943, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 683, 575, 204, 268, 370, 19, 4216, 68, 804, 68, 816, 374, 204, 268, 314, 8196, 275, 683, 575, 204, 268, 2924, 68, 1935, 289, 370, 19, 3424, 68, 804, 68, 816, 374, 204, 268, 314, 30626, 275, 683, 575, 204, 268, 958, 289, 370, 19, 14914, 68, 804, 68, 816, 13, 3424, 68, 1935, 14, 204, 268, 314, 778, 397, 275, 958, 3192, 273, 943, 204, 268, 370, 19, 14892, 611, 1454, 491, 958, 14, 204, 204, 264, 436, 683, 68, 2288, 68, 1935, 68, 2387, 68, 932, 68, 876, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 6379, 958, 1666, 1187, 353, 1650, 20, 1775, 19, 204, 204, 268, 1058, 683, 1216, 5377, 397, 275, 6379, 958, 311, 275, 13036, 1274, 869, 273, 1666, 1187, 302, 1650, 20, 1775, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 683, 575, 204, 268, 370, 19, 4216, 68, 804, 68, 816, 374, 204, 268, 314, 8196, 275, 683, 575, 204, 268, 2924, 68, 1935, 289, 370, 19, 3424, 68, 804, 68, 816, 374, 204, 268, 314, 30626, 275, 683, 575, 204, 268, 958, 289, 370, 19, 1723, 19, 2288, 13, 546, 34, 327, 19, 14914, 68, 805, 17, 424, 34, 3424, 68, 1935, 17, 1666, 68, 932, 1022, 5580, 20, 1775, 431, 204, 268, 314, 778, 397, 275, 1666, 1187, 353, 1650, 20, 1775, 204, 268, 370, 19, 2978, 13, 1935, 736, 8334, 18, 2191, 2043, 379, 5580, 20, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1775, 534, 204, 0, 13127, 311, 717, 3793, 17, 4598, 1415, 406, 18428, 2248, 5875, 3758, 496, 529, 7656, 497, 4757, 1415, 406, 18428, 19, 12819, 22914, 5875, 14627, 496, 529, 2220, 311, 1880, 1415, 406, 18428, 2549, 1340, 8849, 2390, 15278, 496, 1029, 3153, 4549, 292, 275, 5094, 19, 204, 673, 3793, 867, 11188, 630, 25596, 17776, 9300, 17, 275, 8213, 9328, 302, 275, 12360, 348, 25596, 17776, 17, 8923, 292, 10195, 31739, 19, 204, 18558, 5544, 2847, 302, 6695, 2804, 406, 18428, 17, 1101, 719, 311, 5074, 2847, 302, 1475, 18652, 19, 10107, 3153, 1415, 4006, 2964, 17, 1901, 529, 4757, 32, 1465, 5544, 2666, 1182, 4757, 1194, 4598, 406, 18428, 19, 4171, 717, 12074, 2248, 1051, 2712, 292, 5875, 7369, 496, 1741, 8335, 275, 26744, 6940, 2712, 292, 14072, 406, 18428, 299, 19, 204, 7, 44, 29903, 1415, 3524, 311, 406, 18428, 5378, 17693, 1741, 874, 3114, 49038, 496, 529, 508, 20966, 1882, 4383, 5167, 3252, 3014, 2799, 4087, 84, 18, 42, 350, 1407, 651, 17, 27414, 17, 302, 22535, 5140, 4639, 19, 388, 41328, 299, 275, 6940, 18, 6070, 6108, 292, 5875, 4383, 496, 1683, 15613, 406, 18428, 299, 1741, 1340, 451, 1020, 6940, 18, 10667, 5829, 14627, 348, 490, 3343, 204, 1571, 651, 329, 2830, 18987, 17729, 10832, 12, 27350, 974, 970, 23429, 7807, 31, 14064, 9364, 33853, 23429, 322, 75, 44475, 659, 928, 11724, 5875, 4549, 4884, 1882, 7856, 17, 329, 26962, 2162, 23429, 17, 928, 1917, 18335, 1483, 523, 7369, 1283, 5875, 8250, 19, 3433, 13320, 1916, 25657, 1415, 406, 18428, 329, 2905, 1415, 4006, 2964, 19, 334, 2388, 11724, 496, 24446, 1415, 406, 18428, 2080, 14645, 7369, 1283, 275, 7130, 11666, 329, 5156, 4549, 292, 275, 1824, 20500, 302, 1017, 27350, 17, 448, 2590, 448, 6863, 7369, 1283, 18050, 43680, 19, 592, 4998, 17, 275, 4598, 1415, 406, 18428, 2080, 7656, 447, 3114, 27071, 1283, 275, 7130, 329, 27837, 8250, 292, 1855, 18050, 43680, 1194, 4757, 1415, 406, 18428, 19, 4171, 12074, 1741, 8956, 496, 275, 1977, 1283, 7130, 3326, 329, 27837, 3263, 1741, 444, 17912, 292, 4598, 1415, 406, 18428, 19, 204, 7, 7990, 1563, 1519, 311, 444, 4611, 15090, 292, 6695, 2804, 311, 16036, 3855, 808, 353, 275, 1322, 630, 406, 18428, 299, 24951, 521, 3855, 490, 5287, 6644, 1698, 292, 6986, 17877, 1415, 3524, 311, 406, 18428, 5167, 1407, 651, 3252, 19, 204, 23367, 867, 6300, 560, 275, 4086, 3360, 1788, 8385, 37742, 292, 275, 5946, 10249, 302, 25596, 4132, 40739, 329, 1200, 11871, 329, 275, 5946, 10249, 523, 1998, 3723, 2292, 329, 904, 27673, 40739, 19, 204, 40, 704, 1058, 10406, 31, 0, 461, 949, 68, 11727, 13, 2700, 68, 2757, 31, 421, 17, 2333, 68, 2435, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 5537, 292, 273, 2333, 496, 618, 444, 15738, 5218, 521, 5624, 292, 273, 18935, 2052, 2679, 19, 204, 204, 264, 457, 31, 204, 268, 2333, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 2333, 19, 204, 268, 2333, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 2333, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 5537, 496, 618, 444, 15738, 5218, 521, 5624, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 1097, 204, 264, 397, 508, 2381, 13, 2700, 68, 2757, 17, 421, 14, 521, 508, 2381, 13, 2700, 68, 2435, 17, 421, 330, 204, 268, 980, 987, 499, 3383, 1631, 444, 1892, 431, 204, 264, 397, 2333, 68, 2757, 2186, 500, 521, 2333, 68, 2435, 2186, 500, 31, 204, 268, 980, 987, 499, 3383, 1631, 444, 2140, 1892, 431, 204, 204, 264, 314, 888, 275, 542, 302, 5537, 204, 264, 314, 592, 273, 18935, 2052, 2679, 17, 275, 542, 302, 5218, 329, 5624, 5537, 353, 1936, 397, 275, 1113, 542, 302, 5537, 353, 2219, 204, 264, 314, 828, 275, 1113, 542, 302, 5537, 353, 4069, 17, 275, 542, 302, 5218, 5537, 353, 1051, 1182, 1194, 275, 542, 302, 5624, 5537, 397, 275, 1853, 353, 4069, 204, 264, 314, 9444, 17, 275, 542, 302, 5624, 5537, 353, 1051, 1182, 1194, 275, 542, 302, 5218, 5537, 204, 264, 1113, 68, 11727, 289, 2333, 68, 2757, 540, 2333, 68, 2435, 204, 264, 397, 1113, 68, 11727, 1564, 435, 564, 500, 31, 204, 268, 407, 1113, 68, 11727, 3166, 435, 204, 264, 902, 31, 204, 268, 397, 2333, 68, 2757, 1564, 435, 564, 500, 31, 204, 305, 407, 322, 2609, 68, 11727, 465, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 407, 1113, 68, 11727, 3166, 435, 204, 204, 461, 8603, 68, 16277, 2052, 13, 2700, 68, 2757, 31, 421, 17, 2333, 68, 2435, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12626, 273, 18935, 2052, 2679, 440, 275, 800, 1853, 329, 2198, 19, 204, 204, 264, 457, 31, 204, 268, 2333, 68, 2757, 322, 339, 330, 334, 1853, 302, 275, 2333, 19, 204, 268, 2333, 68, 2435, 322, 339, 330, 334, 2198, 302, 275, 2333, 19, 204, 264, 320, 204, 264, 314, 666, 273, 435, 41, 458, 311, 1173, 275, 18935, 2052, 204, 264, 18935, 2052, 289, 5787, 21, 348, 906, 292, 933, 13, 2700, 68, 2435, 2395, 348, 906, 292, 933, 13, 2700, 68, 2757, 2395, 204, 204, 264, 314, 8329, 275, 5537, 292, 273, 18935, 2052, 2679, 204, 264, 348, 296, 292, 933, 13, 2700, 68, 2757, 330, 204, 268, 348, 781, 292, 933, 13, 2700, 68, 2435, 330, 204, 305, 397, 322, 78, 465, 781, 14, 1564, 435, 564, 500, 31, 204, 485, 18935, 2052, 64, 78, 1799, 79, 66, 289, 368, 226, 314, 10004, 2415, 204, 204, 264, 314, 1198, 275, 18935, 2052, 204, 264, 348, 1237, 292, 18935, 2052, 31, 204, 268, 456, 611, 3759, 1541, 8031, 39, 12, 397, 2415, 564, 368, 902, 379, 60, 12, 348, 2415, 292, 1237, 4513, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 763, 275, 537, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 2333, 68, 2757, 17, 2333, 68, 2435, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 1853, 329, 2198, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 275, 2333, 322, 2816, 18, 7996, 330, 6165, 1590, 1447, 204, 305, 397, 2333, 68, 2757, 2186, 500, 521, 2333, 68, 2435, 2186, 500, 31, 204, 485, 980, 987, 204, 305, 2280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 2140, 1892, 1280, 204, 204, 264, 314, 888, 329, 456, 275, 722, 204, 264, 810, 31, 204, 268, 722, 289, 949, 68, 11727, 13, 2700, 68, 2757, 17, 2333, 68, 2435, 14, 204, 268, 456, 13, 75, 7, 4290, 302, 5218, 5537, 31, 463, 1300, 743, 204, 268, 456, 13, 75, 7, 4290, 302, 5624, 5537, 31, 463, 2700, 68, 2757, 540, 2333, 68, 2435, 338, 722, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 74, 14, 204, 204, 264, 314, 12626, 275, 18935, 2052, 204, 264, 8603, 68, 16277, 2052, 13, 2700, 68, 2757, 17, 2333, 68, 2435, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 29080, 1916, 17, 11166, 2317, 14475, 26186, 19266, 25372, 353, 3303, 275, 1043, 4719, 311, 3472, 273, 2327, 18, 834, 17, 2482, 18, 4953, 27697, 302, 275, 9755, 11036, 17320, 19, 2474, 17066, 630, 275, 43734, 17804, 630, 2958, 31, 8619, 284, 19, 82, 19, 471, 17374, 20314, 17, 440, 3615, 1637, 2236, 88, 14038, 1707, 650, 91, 48945, 266, 329, 650, 4975, 6354, 391, 2372, 6473, 302, 275, 15411, 2817, 13478, 30739, 2809, 18090, 17, 1273, 1250, 1120, 3524, 3287, 3793, 496, 25821, 14475, 884, 88, 48120, 311, 13873, 19, 204, 673, 1659, 84, 17434, 40795, 273, 4087, 94, 29893, 313, 2097, 18, 1036, 50, 22873, 497, 275, 565, 1678, 80, 271, 298, 17003, 2272, 2618, 292, 41916, 27086, 23453, 630, 720, 31, 4635, 284, 19, 82, 19, 322, 24, 31, 4635, 273, 19, 82, 19, 25112, 17, 9402, 1433, 17, 565, 1678, 80, 271, 298, 690, 659, 42942, 2197, 6138, 3420, 2666, 17, 329, 770, 17401, 630, 275, 6297, 19, 334, 17740, 1749, 1283, 275, 22873, 329, 6297, 11771, 630, 1598, 31, 4656, 273, 19, 82, 19, 25112, 17, 9402, 1433, 19, 204, 673, 13319, 302, 25372, 17, 650, 91, 48945, 266, 329, 6354, 391, 2372, 6473, 2584, 275, 6297, 884, 88, 20688, 10393, 311, 6699, 19, 334, 2327, 5157, 7739, 22044, 12995, 8476, 270, 22308, 1144, 760, 321, 302, 14475, 329, 24922, 41813, 22308, 7240, 1442, 302, 471, 4688, 322, 38525, 11036, 19404, 14, 329, 1358, 6670, 13098, 999, 3486, 15854, 302, 30739, 2809, 18090, 19, 334, 7739, 22044, 12995, 20688, 5131, 1120, 13133, 5544, 5869, 25610, 1182, 1194, 10835, 6218, 17944, 292, 2357, 496, 11200, 830, 302, 23484, 17, 1702, 448, 19738, 17, 6138, 6218, 17, 3651, 3793, 17, 6015, 23748, 329, 6309, 4383, 19, 204, 28961, 352, 657, 35997, 523, 3421, 19392, 26168, 48, 884, 88, 17555, 14475, 18, 12702, 336, 12537, 513, 398, 18213, 9737, 292, 5086, 9402, 1120, 2255, 273, 3220, 302, 28263, 6659, 13761, 523, 273, 22873, 17, 9393, 275, 1043, 2817, 18, 6070, 9087, 302, 22797, 1288, 18120, 6138, 884, 88, 13608, 497, 2817, 17, 10647, 1662, 1235, 31290, 17, 521, 8006, 17, 42965, 329, 6315, 292, 7203, 29164, 17, 683, 273, 3061, 17430, 18, 1679, 10433, 37292, 545, 20035, 2172, 2322, 496, 618, 9583, 523, 1354, 292, 275, 30365, 1964, 302, 2817, 17, 329, 881, 273, 717, 571, 18, 41, 19439, 348, 732, 523, 6297, 19, 204, 1480, 8479, 639, 12995, 20688, 5131, 1425, 529, 1812, 311, 7137, 275, 1043, 10889, 578, 15249, 17, 928, 1120, 2512, 14475, 1163, 1043, 683, 302, 437, 23762, 15249, 3773, 496, 618, 2886, 36544, 1415, 5794, 329, 1225, 292, 275, 30365, 1964, 302, 2817, 19, 334, 16877, 340, 737, 22148, 578, 17188, 15065, 322, 15258, 6200, 14, 353, 437, 16000, 10889, 578, 2413, 16541, 348, 12364, 523, 11036, 61, 884, 88, 34360, 14475, 18, 12702, 336, 22658, 513, 398, 18213, 9737, 808, 9064, 19, 10303, 36544, 1120, 508, 5794, 292, 22991, 6200, 17, 490, 1120, 444, 13975, 311, 275, 2817, 6297, 17, 14036, 329, 13320, 348, 273, 2311, 970, 18, 2873, 6893, 17, 329, 20688, 5131, 1120, 2064, 38696, 311, 3953, 5956, 302, 275, 15249, 19, 204, 35761, 353, 8442, 275, 732, 302, 10889, 578, 25653, 311, 2886, 20688, 5131, 18140, 311, 437, 23120, 17, 13873, 329, 904, 26310, 19, 1346, 10889, 578, 15249, 1702, 448, 22991, 6200, 5178, 719, 2202, 4308, 523, 273, 19403, 17, 1335, 11439, 4916, 3351, 348, 7497, 329, 4636, 292, 2817, 19, 204, 673, 20688, 5131, 1425, 529, 16541, 311, 7137, 1051, 15411, 23518, 513, 398, 18213, 9737, 36782, 1465, 2327, 17128, 302, 3117, 17, 7534, 17, 17627, 329, 3793, 19, 204, 16901, 1704, 6699, 18, 4994, 9737, 17, 25372, 1120, 3472, 275, 4719, 2493, 14058, 348, 8046, 3054, 292, 2817, 5323, 720, 5091, 5323, 1965, 42444, 7739, 22044, 13326, 8476, 270, 18443, 43955, 17, 1415, 14950, 719, 1704, 1051, 18, 2873, 9737, 9402, 368, 19, 25372, 1120, 3074, 1354, 302, 275, 6297, 523, 9815, 681, 348, 7739, 22044, 7332, 19, 25372, 17, 650, 91, 48945, 266, 329, 6354, 391, 2372, 6473, 1120, 2709, 40795, 275, 6297, 3119, 4744, 11047, 11166, 19, 1144, 760, 321, 17, 7240, 1442, 329, 13098, 999, 3486, 15854, 1120, 407, 311, 6138, 523, 9815, 720, 19, 204, 3070, 2153, 2181, 17, 9712, 874, 1742, 7497, 20816, 40795, 275, 9755, 11036, 17320, 311, 14224, 8615, 6121, 329, 6548, 717, 13199, 17, 4461, 3793, 38297, 88, 508, 2237, 523, 6138, 329, 496, 1120, 9393, 2482, 18, 7083, 3651, 329, 37466, 15407, 1025, 6497, 2817, 19, 332, 17705, 4610, 30623, 5667, 17, 1182, 1194, 2031, 1880, 497, 2153, 5899, 874, 4371, 275, 2220, 7203, 29164, 17804, 496, 869, 32359, 1182, 1194, 368, 17, 16712, 3793, 32143, 497, 7476, 292, 1182, 1194, 19736, 5899, 19, 0, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 5503, 204, 647, 38463, 204, 531, 1498, 532, 1535, 204, 204, 461, 1151, 68, 553, 13, 2029, 31, 394, 14, 393, 1535, 64, 3881, 744, 204, 264, 320, 204, 264, 4143, 275, 4578, 302, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 475, 31, 204, 268, 3154, 31, 334, 4578, 302, 275, 510, 17, 521, 443, 397, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 2029, 17, 379, 6952, 534, 448, 510, 31, 204, 305, 407, 510, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 2029, 743, 204, 268, 407, 443, 204, 204, 461, 1814, 68, 3881, 68, 633, 68, 1663, 13, 3881, 68, 481, 31, 3154, 17, 1302, 31, 421, 289, 4662, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8109, 3154, 424, 311, 273, 2415, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 3154, 68, 481, 322, 3881, 330, 334, 3154, 424, 311, 1814, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 2415, 1525, 19, 1243, 311, 4662, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 435, 41, 1348, 2457, 275, 3154, 424, 19, 204, 264, 320, 204, 264, 314, 2208, 3154, 311, 6861, 1019, 204, 264, 6861, 68, 1309, 289, 38463, 19, 7376, 41344, 13, 3881, 68, 481, 14, 204, 615, 264, 314, 2208, 6861, 1019, 311, 1892, 204, 264, 1525, 68, 1309, 289, 645, 19, 643, 1568, 339, 13, 7376, 68, 1309, 64, 78, 31, 78, 16, 23, 648, 2247, 14, 348, 296, 292, 933, 13, 21, 17, 1245, 13, 7376, 68, 1309, 659, 435, 7971, 204, 615, 264, 314, 13600, 275, 1348, 311, 273, 2415, 1525, 204, 264, 1525, 68, 1309, 289, 645, 19, 6358, 13, 1663, 68, 1309, 17, 322, 835, 17, 1302, 602, 204, 615, 264, 407, 645, 19, 9283, 29, 13, 1663, 68, 1309, 14, 204, 204, 461, 1151, 68, 2039, 68, 553, 13, 2039, 68, 546, 31, 394, 14, 393, 1535, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 4143, 275, 4578, 302, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 4104, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 4578, 302, 275, 2306, 510, 17, 521, 443, 397, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 2039, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 2039, 68, 546, 743, 204, 268, 407, 443, 204, 204, 461, 1814, 68, 43258, 68, 2375, 68, 633, 68, 15117, 13, 2039, 68, 546, 31, 394, 17, 1302, 31, 421, 289, 4662, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8109, 275, 14054, 53, 1860, 13666, 292, 273, 2306, 510, 311, 7703, 19, 204, 204, 264, 457, 31, 204, 268, 4104, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 2415, 1525, 19, 1243, 311, 4662, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 571, 41, 1348, 302, 7703, 2457, 275, 14054, 53, 1860, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 2306, 510, 204, 264, 4104, 68, 1695, 289, 1151, 68, 2039, 68, 553, 13, 2039, 68, 546, 14, 204, 615, 264, 314, 778, 397, 275, 2306, 510, 867, 1151, 4073, 204, 264, 397, 4104, 68, 1695, 353, 443, 31, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 763, 275, 510, 3630, 497, 275, 2306, 510, 204, 264, 510, 68, 3880, 289, 4104, 68, 1695, 736, 5778, 35581, 839, 204, 615, 264, 314, 977, 437, 1348, 311, 1640, 275, 7703, 204, 264, 7703, 289, 645, 19, 4324, 1802, 1796, 13, 553, 68, 3880, 659, 1302, 17, 1302, 602, 204, 615, 264, 314, 2208, 848, 14054, 53, 510, 311, 273, 1525, 204, 264, 348, 296, 17, 510, 68, 546, 292, 3209, 13, 553, 68, 3880, 330, 204, 268, 39893, 68, 2387, 289, 1151, 68, 553, 13, 553, 68, 546, 14, 204, 822, 268, 314, 778, 397, 275, 14054, 53, 510, 867, 1151, 4073, 204, 268, 397, 39893, 68, 2387, 353, 508, 443, 31, 204, 305, 7703, 64, 78, 66, 289, 1814, 68, 3881, 68, 633, 68, 1663, 13, 43258, 68, 2387, 17, 1302, 14, 204, 615, 264, 407, 7703, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 4104, 68, 546, 289, 468, 12, 43, 8563, 8724, 65, 14990, 65, 1219, 19, 2039, 12, 204, 264, 7703, 289, 1814, 68, 43258, 68, 2375, 68, 633, 68, 15117, 13, 2039, 68, 546, 14, 204, 264, 440, 1451, 13, 87, 2964, 631, 19, 12586, 491, 379, 9220, 534, 448, 510, 31, 204, 268, 5503, 19, 4573, 13, 15117, 17, 510, 14, 204, 0, 658, 22402, 49040, 5045, 27226, 311, 5481, 5336, 557, 3503, 402, 23738, 204, 204, 1449, 1814, 49040, 1762, 27226, 311, 5481, 45200, 40901, 17, 572, 732, 275, 5818, 2479, 496, 368, 1762, 362, 2062, 353, 5387, 1936, 311, 435, 19, 21, 4023, 6304, 30676, 3699, 1003, 8667, 5481, 45200, 40901, 19, 204, 204, 1380, 1687, 18, 1424, 18, 6702, 16992, 204, 204, 22, 19, 930, 3029, 719, 275, 5818, 2479, 1416, 368, 1762, 362, 2062, 6753, 435, 19, 21, 4023, 6304, 30676, 3699, 1003, 8667, 5481, 40901, 204, 23, 19, 930, 3029, 719, 275, 5945, 1416, 716, 262, 338, 368, 1762, 362, 2062, 802, 368, 6753, 435, 19, 21, 4023, 6304, 30676, 3699, 1003, 8667, 5481, 40901, 802, 610, 204, 262, 338, 9264, 49040, 1762, 27226, 17, 572, 3480, 311, 1020, 610, 5481, 40901, 19, 204, 24, 19, 930, 13766, 4122, 1416, 716, 262, 338, 610, 6753, 49040, 1762, 27226, 540, 435, 19, 21, 4023, 6304, 30676, 3699, 1003, 8667, 5481, 40901, 802, 368, 1762, 362, 2062, 204, 25, 19, 930, 11479, 610, 1416, 204, 262, 338, 610, 6753, 49040, 540, 435, 19, 21, 4023, 6304, 30676, 3699, 1003, 8667, 204, 262, 338, 610, 6753, 887, 9320, 19, 1511, 2934, 6074, 3787, 9706, 5007, 5481, 40901, 204, 204, 1380, 18123, 204, 204, 29151, 1762, 27226, 353, 6414, 311, 5387, 887, 9320, 19, 1511, 2934, 6074, 3787, 9706, 5007, 5481, 45200, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40901, 19, 0, 5399, 529, 275, 667, 7345, 329, 9994, 3232, 311, 10142, 4815, 329, 6971, 31, 204, 204, 777, 30186, 2837, 677, 30498, 4626, 204, 30186, 2837, 677, 11316, 3584, 496, 275, 4815, 6310, 311, 437, 22670, 10142, 292, 273, 6318, 353, 21272, 1600, 449, 266, 5311, 311, 2589, 917, 292, 275, 10142, 19, 334, 4815, 630, 1169, 917, 292, 273, 10142, 353, 11832, 311, 275, 1864, 302, 275, 3776, 496, 275, 10142, 353, 292, 3754, 440, 19, 204, 204, 777, 14426, 7755, 3549, 25046, 4626, 204, 14426, 7755, 3549, 4815, 353, 275, 4815, 20835, 560, 273, 10142, 630, 3022, 523, 275, 3776, 302, 437, 726, 41708, 292, 275, 10142, 19, 1547, 618, 444, 3392, 974, 275, 2089, 31, 204, 204, 53, 289, 17509, 22081, 204, 204, 3663, 31, 204, 18, 415, 353, 275, 10077, 3549, 4815, 204, 18, 17509, 353, 275, 10142, 6096, 204, 18, 357, 353, 275, 5816, 3913, 311, 8770, 204, 18, 373, 353, 275, 6329, 1853, 302, 275, 10142, 1837, 4166, 275, 917, 302, 3205, 204, 204, 777, 10668, 4878, 608, 13108, 4626, 204, 10668, 4878, 608, 2955, 353, 275, 2955, 20835, 523, 273, 41708, 726, 560, 275, 10142, 490, 353, 292, 19, 1547, 353, 1936, 311, 275, 2308, 302, 275, 10142, 496, 353, 27517, 560, 275, 726, 19, 334, 30031, 608, 2955, 618, 444, 3392, 974, 275, 2089, 31, 204, 204, 43, 71, 289, 17509, 59, 76, 204, 204, 3663, 31, 204, 18, 472, 71, 353, 275, 30031, 608, 2955, 204, 18, 17509, 353, 275, 6096, 302, 275, 10142, 204, 18, 628, 353, 275, 3351, 302, 275, 41708, 726, 204, 18, 357, 353, 275, 5816, 3913, 311, 8770, 204, 204, 777, 2683, 21281, 4626, 204, 204, 15, 28766, 3549, 4815, 353, 275, 4815, 20835, 560, 273, 10142, 630, 3022, 523, 273, 41708, 726, 19, 204, 15, 9629, 4878, 608, 2955, 353, 275, 2955, 20835, 523, 273, 41708, 726, 560, 275, 10142, 490, 353, 292, 19, 204, 15, 25402, 677, 11316, 3584, 496, 275, 4815, 6310, 311, 437, 22670, 10142, 353, 21272, 1600, 449, 266, 5311, 311, 2589, 917, 292, 275, 10142, 19, 204, 15, 334, 1113, 4815, 630, 1169, 917, 292, 273, 10142, 353, 275, 1066, 302, 275, 25393, 3913, 311, 275, 10142, 1837, 4166, 275, 917, 329, 275, 21541, 4815, 630, 275, 3776, 19, 0, 8, 1094, 19, 948, 204, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 1907, 19, 2918, 532, 8486, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 204, 676, 5185, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3301, 570, 348, 7215, 19, 204, 264, 320, 204, 264, 1724, 68, 492, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 1540, 11456, 204, 264, 2342, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 7077, 17, 1540, 11456, 204, 264, 2344, 289, 1094, 19, 12860, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 690, 289, 1094, 19, 43244, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 2799, 289, 1094, 19, 4483, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 8754, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 10003, 289, 959, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 1778, 68, 492, 98, 560, 463, 327, 19, 4020, 19, 2574, 2495, 204, 204, 676, 11554, 9024, 673, 15585, 13, 7164, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 3117, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 752, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 2936, 4750, 4247, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 21513, 302, 275, 8373, 31, 463, 327, 19, 1778, 68, 492, 2495, 204, 204, 676, 10932, 2714, 9024, 673, 15585, 13, 7164, 330, 204, 264, 320, 204, 264, 3746, 2457, 437, 685, 2714, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 752, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 2936, 4750, 4247, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 13074, 2714, 302, 275, 8373, 31, 463, 327, 19, 1778, 68, 492, 2495, 204, 204, 676, 42639, 9024, 673, 15585, 13, 7164, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 6183, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 1848, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2132, 17, 5426, 3603, 204, 268, 2448, 8, 43, 4300, 10294, 28, 491, 379, 22, 2008, 204, 268, 2448, 8, 42, 6622, 26, 40, 28, 491, 379, 23, 2008, 204, 268, 2448, 8, 42, 4734, 42, 10059, 491, 379, 24, 2008, 204, 268, 2448, 8, 38, 5049, 43, 2686, 491, 379, 25, 2008, 204, 268, 2448, 8, 30, 2132, 41, 2686, 491, 379, 26, 2008, 204, 268, 2448, 8, 28, 4966, 7298, 43, 491, 379, 27, 534, 204, 264, 7241, 1540, 26142, 26028, 5065, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 4167, 4445, 302, 275, 8373, 31, 463, 327, 19, 1778, 68, 492, 2495, 204, 204, 676, 45009, 9024, 673, 15585, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 16888, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 1724, 68, 492, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 1540, 11456, 204, 264, 16888, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 5426, 3603, 204, 268, 2448, 22, 491, 379, 175, 250, 237, 173, 116, 233, 2008, 204, 268, 2448, 23, 491, 379, 172, 129, 228, 172, 129, 228, 2008, 204, 268, 2448, 24, 491, 379, 37344, 256, 174, 105, 257, 2008, 204, 268, 2448, 25, 491, 379, 30256, 114, 30256, 122, 2008, 204, 268, 2448, 26, 491, 379, 175, 243, 237, 174, 252, 107, 2008, 204, 268, 2448, 27, 491, 379, 47666, 252, 43716, 232, 23475, 230, 260, 23475, 109, 114, 173, 257, 126, 534, 204, 264, 9174, 204, 264, 2342, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5758, 17, 1540, 11456, 204, 264, 2344, 289, 1094, 19, 12860, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 2799, 289, 1094, 19, 4483, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 41395, 68, 522, 68, 1947, 68, 2124, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 50, 1645, 302, 275, 8373, 31, 463, 327, 19, 1778, 68, 492, 2495, 204, 204, 676, 11717, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 575, 3680, 19, 204, 264, 320, 204, 264, 15509, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2169, 17, 4247, 34, 1021, 14, 204, 264, 11856, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 17, 1540, 11456, 204, 264, 752, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 2936, 4750, 4247, 34, 1021, 14, 204, 264, 13694, 289, 1094, 19, 12860, 13, 8436, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 575, 289, 1094, 19, 20748, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 4531, 68, 816, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 2867, 88, 11717, 7, 204, 204, 676, 13923, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3301, 570, 348, 15807, 19, 204, 264, 320, 204, 264, 575, 289, 1094, 19, 4483, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 17981, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 10003, 289, 959, 204, 204, 676, 13923, 13074, 2714, 9024, 673, 15585, 13, 18365, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 2090, 348, 437, 685, 2714, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 685, 2714, 68, 522, 68, 1947, 68, 2124, 289, 1094, 19, 4483, 13, 13074, 2714, 9024, 673, 15585, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 17981, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 15807, 463, 327, 19, 607, 2714, 68, 522, 68, 1947, 68, 2124, 19, 1778, 68, 492, 2495, 204, 204, 676, 13923, 21513, 9024, 673, 15585, 13, 18365, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 2090, 348, 273, 3117, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 3117, 68, 522, 68, 1947, 68, 2124, 289, 1094, 19, 4483, 13, 21513, 9024, 673, 15585, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 17981, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 15807, 463, 327, 19, 9323, 68, 522, 68, 1947, 68, 2124, 19, 1778, 68, 492, 2495, 204, 204, 676, 13923, 4167, 4445, 9024, 673, 15585, 13, 18365, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 2090, 348, 273, 6183, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 6183, 68, 522, 68, 1947, 68, 2124, 289, 1094, 19, 4483, 13, 4167, 4445, 9024, 673, 15585, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 17981, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 15807, 463, 327, 19, 49125, 68, 522, 68, 1947, 68, 2124, 19, 1778, 68, 492, 2495, 204, 204, 676, 13923, 50, 1645, 9024, 673, 15585, 13, 18365, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 2090, 348, 273, 16888, 302, 275, 2344, 19, 204, 264, 320, 204, 264, 16888, 68, 522, 68, 1947, 68, 2124, 289, 1094, 19, 4483, 13, 50, 1645, 9024, 673, 15585, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 17981, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 15807, 463, 327, 19, 41395, 68, 522, 68, 1947, 68, 2124, 19, 1778, 68, 492, 2495, 204, 0, 647, 2010, 448, 645, 204, 531, 6032, 19, 4926, 19, 16630, 532, 846, 68, 5915, 204, 531, 6032, 19, 4926, 19, 1618, 532, 9864, 204, 531, 6032, 19, 4926, 19, 3814, 532, 12628, 17, 11970, 23, 41, 17, 29775, 23, 41, 17, 15822, 17, 18581, 204, 531, 6032, 19, 4926, 19, 8271, 532, 279, 20157, 1003, 204, 531, 6032, 19, 4926, 19, 16168, 532, 34953, 204, 531, 6032, 19, 4926, 19, 1618, 532, 1137, 68, 809, 204, 647, 6032, 448, 1774, 204, 204, 461, 1137, 68, 24760, 1003, 68, 2182, 374, 393, 927, 31, 204, 264, 320, 204, 264, 5984, 275, 27520, 18, 1003, 1485, 329, 2519, 1440, 275, 6729, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1737, 329, 2907, 2388, 329, 1769, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 27520, 18, 1003, 1485, 204, 264, 322, 1219, 68, 2936, 17, 951, 68, 2185, 659, 322, 804, 68, 2936, 17, 683, 68, 2185, 14, 289, 279, 20157, 1003, 19, 986, 68, 481, 374, 204, 615, 264, 314, 8825, 275, 6729, 1019, 204, 264, 951, 68, 2936, 17, 683, 68, 2936, 289, 951, 68, 2936, 802, 4580, 19, 21, 17, 683, 68, 2936, 802, 4580, 19, 21, 204, 615, 264, 407, 322, 1219, 68, 2936, 17, 951, 68, 2185, 659, 322, 804, 68, 2936, 17, 683, 68, 2185, 14, 204, 204, 461, 838, 68, 14990, 68, 809, 374, 393, 9864, 31, 204, 264, 320, 204, 264, 2605, 273, 13222, 570, 348, 275, 27520, 18, 1003, 1485, 19, 204, 204, 264, 475, 31, 204, 268, 9864, 31, 334, 1966, 13222, 570, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 13222, 570, 204, 264, 570, 289, 9864, 374, 204, 615, 264, 314, 1255, 7752, 4131, 204, 264, 570, 19, 826, 13, 6769, 23, 41, 13, 2177, 17, 3696, 68, 835, 34, 24, 17, 5204, 833, 9743, 491, 4142, 833, 5723, 491, 537, 68, 1827, 3644, 2177, 17, 4236, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17, 571, 659, 3696, 68, 10856, 34, 1129, 68, 5915, 13, 25, 3694, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 6769, 23, 41, 13, 2177, 17, 3696, 68, 835, 34, 24, 17, 5204, 833, 9743, 491, 4142, 833, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 6769, 23, 41, 13, 2177, 17, 3696, 68, 835, 34, 24, 17, 5204, 833, 9743, 491, 4142, 833, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 6769, 23, 41, 13, 2177, 17, 3696, 68, 835, 34, 24, 17, 5204, 833, 9743, 491, 4142, 833, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 6769, 23, 41, 13, 1003, 17, 3696, 68, 835, 34, 24, 17, 5204, 833, 9743, 491, 4142, 833, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 23, 602, 204, 615, 264, 314, 1255, 14549, 329, 12294, 299, 4131, 204, 264, 570, 19, 826, 13, 22661, 23, 41, 1802, 23, 17, 435, 3694, 204, 264, 570, 19, 826, 13, 23264, 1447, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 25, 602, 204, 615, 264, 314, 1255, 919, 2522, 204, 264, 570, 19, 826, 13, 9415, 13, 1003, 602, 204, 615, 264, 407, 570, 204, 204, 461, 13629, 68, 14990, 68, 809, 13, 809, 31, 9864, 14, 393, 443, 31, 204, 264, 320, 204, 264, 48751, 275, 13222, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 8790, 330, 334, 13222, 570, 311, 13629, 19, 204, 264, 320, 204, 264, 314, 11886, 275, 570, 440, 14272, 4209, 329, 14121, 10820, 4393, 18, 9450, 2210, 204, 264, 570, 19, 7354, 13, 7560, 833, 16667, 491, 204, 12764, 2210, 34, 2987, 19, 4926, 19, 12667, 19, 41128, 35625, 43701, 16828, 13, 531, 68, 11792, 34, 1021, 659, 204, 12764, 5047, 4980, 5893, 2378, 204, 204, 461, 951, 68, 14990, 68, 809, 13, 809, 31, 9864, 17, 951, 68, 2936, 31, 645, 19, 766, 17, 951, 68, 2185, 31, 645, 19, 766, 17, 683, 68, 2936, 31, 645, 19, 766, 17, 683, 68, 2185, 31, 645, 19, 766, 17, 2106, 68, 6222, 31, 1109, 289, 959, 14, 393, 927, 31, 204, 264, 320, 204, 264, 14137, 275, 13222, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 8790, 330, 334, 13222, 570, 311, 951, 19, 204, 268, 951, 68, 2936, 322, 1123, 19, 766, 330, 334, 1737, 2388, 19, 204, 268, 951, 68, 2185, 322, 1123, 19, 766, 330, 334, 1737, 1769, 19, 204, 268, 683, 68, 2936, 322, 1123, 19, 766, 330, 334, 2907, 2388, 19, 204, 268, 683, 68, 2185, 322, 1123, 19, 766, 330, 334, 2907, 1769, 19, 204, 268, 2106, 68, 6222, 322, 2107, 17, 1448, 330, 2266, 311, 2106, 275, 2765, 570, 19, 1243, 311, 959, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 6020, 570, 329, 1163, 3511, 19, 204, 264, 320, 204, 264, 314, 666, 273, 458, 302, 16114, 204, 264, 16114, 68, 655, 289, 1306, 204, 615, 264, 314, 1255, 570, 7974, 299, 5176, 397, 2106, 68, 6222, 353, 959, 204, 264, 397, 2106, 68, 6222, 31, 204, 268, 13692, 289, 388, 6222, 68, 24760, 68, 14990, 68, 3815, 68, 1625, 68, 25432, 19, 20279, 26, 7, 204, 268, 7974, 289, 34953, 13, 10093, 17, 7501, 833, 577, 68, 5893, 491, 2874, 34, 22, 17, 2106, 68, 6222, 68, 6593, 34, 1021, 17, 2291, 833, 1129, 534, 204, 268, 16114, 68, 655, 19, 1223, 13, 9488, 14, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 3511, 289, 570, 19, 2714, 13, 1219, 68, 2936, 17, 951, 68, 2185, 17, 2068, 68, 835, 34, 2562, 17, 6175, 34, 4589, 17, 204, 2058, 3587, 68, 481, 3644, 804, 68, 2936, 17, 683, 68, 2185, 659, 16114, 34, 16168, 68, 655, 14, 204, 615, 264, 407, 570, 17, 3511, 204, 204, 461, 1137, 68, 14990, 68, 809, 13, 809, 68, 546, 31, 394, 14, 393, 9864, 31, 204, 264, 320, 204, 264, 5984, 275, 3093, 302, 273, 13222, 570, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 546, 322, 325, 330, 334, 832, 311, 275, 570, 510, 19, 204, 204, 264, 475, 31, 204, 268, 9864, 31, 334, 3271, 13222, 570, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 570, 497, 275, 510, 204, 268, 3271, 68, 809, 289, 1137, 68, 809, 13, 809, 68, 546, 14, 204, 822, 268, 314, 11886, 275, 3271, 570, 204, 268, 3271, 68, 809, 19, 7354, 13, 7560, 833, 16667, 491, 204, 12764, 2210, 34, 2987, 19, 4926, 19, 12667, 19, 41128, 35625, 43701, 16828, 13, 531, 68, 11792, 34, 1021, 659, 204, 12764, 5047, 4980, 5893, 2378, 204, 822, 268, 407, 3271, 68, 809, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1198, 437, 908, 943, 397, 4644, 4737, 204, 268, 456, 13, 75, 7, 3504, 311, 1137, 570, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3953, 68, 14990, 68, 809, 13, 809, 31, 9864, 17, 683, 68, 2936, 31, 645, 19, 766, 17, 683, 68, 2185, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 16144, 275, 13222, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 8790, 330, 334, 13222, 570, 311, 3953, 19, 204, 268, 683, 68, 2936, 322, 1123, 19, 766, 330, 334, 2907, 2388, 19, 204, 268, 683, 68, 2185, 322, 1123, 19, 766, 330, 334, 2907, 1769, 19, 204, 264, 320, 204, 264, 314, 4938, 275, 570, 523, 275, 683, 424, 204, 264, 2279, 289, 570, 19, 9925, 13, 804, 68, 2936, 17, 683, 68, 2185, 17, 2874, 34, 22, 14, 204, 615, 264, 314, 1198, 275, 3666, 204, 264, 456, 10728, 88, 31, 26941, 23, 75, 26012, 7, 1564, 322, 809, 19, 5878, 68, 2199, 64, 22, 648, 2279, 64, 22, 66, 540, 1607, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 275, 27520, 18, 1003, 1485, 204, 264, 322, 1219, 68, 2936, 17, 951, 68, 2185, 659, 322, 804, 68, 2936, 17, 683, 68, 2185, 14, 289, 1137, 68, 24760, 1003, 68, 2182, 374, 204, 615, 264, 314, 666, 273, 717, 13222, 570, 204, 264, 570, 289, 838, 68, 14990, 68, 809, 374, 204, 615, 264, 314, 11886, 275, 570, 204, 264, 13629, 68, 14990, 68, 809, 13, 809, 14, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 570, 17, 3511, 289, 951, 68, 14990, 68, 809, 13, 809, 17, 951, 68, 2936, 17, 951, 68, 2185, 17, 683, 68, 2936, 17, 683, 68, 2185, 14, 204, 615, 264, 314, 4938, 275, 570, 204, 264, 3953, 68, 14990, 68, 809, 13, 809, 17, 683, 68, 2936, 17, 683, 68, 2185, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 10041, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 273, 435, 41, 1525, 302, 22492, 497, 575, 537, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 3239, 302, 3015, 292, 275, 1525, 19, 204, 268, 10426, 322, 339, 330, 3239, 302, 2630, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 302, 22492, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 7725, 1525, 204, 264, 7725, 68, 1663, 289, 1306, 204, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 68, 998, 292, 933, 13, 3173, 330, 204, 268, 1237, 68, 39440, 289, 1306, 204, 822, 268, 314, 1861, 1048, 848, 1837, 292, 275, 1525, 204, 268, 348, 734, 68, 998, 292, 933, 13, 6103, 330, 204, 305, 314, 9799, 3176, 275, 575, 348, 537, 3119, 273, 1097, 1534, 353, 6027, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 314, 763, 275, 7725, 497, 275, 575, 204, 895, 7725, 289, 421, 13, 768, 13, 75, 7, 2101, 275, 7725, 348, 4703, 10081, 937, 68, 998, 98, 1799, 96, 982, 68, 998, 11129, 361, 9, 4091, 204, 895, 1237, 68, 39440, 19, 1223, 13, 10041, 14, 204, 895, 2280, 204, 485, 827, 987, 31, 204, 895, 314, 1426, 2872, 537, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 822, 268, 314, 1255, 275, 1237, 302, 22492, 311, 275, 1525, 204, 268, 7725, 68, 1663, 19, 1223, 13, 937, 68, 39440, 14, 204, 615, 264, 407, 7725, 68, 1663, 204, 204, 204, 461, 949, 68, 2609, 68, 10041, 13, 10041, 68, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1113, 7725, 497, 273, 435, 41, 1525, 302, 22492, 19, 204, 204, 264, 457, 31, 204, 268, 7725, 68, 1663, 322, 655, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 302, 22492, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1113, 7725, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 458, 6459, 311, 1066, 719, 830, 275, 22492, 292, 275, 1525, 204, 264, 1113, 68, 10041, 289, 1066, 13, 1303, 13, 937, 14, 348, 1237, 292, 7725, 68, 1663, 14, 204, 264, 407, 1113, 68, 10041, 204, 204, 204, 461, 456, 68, 10041, 68, 1663, 13, 10041, 68, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 273, 435, 41, 1525, 302, 22492, 19, 204, 204, 264, 457, 31, 204, 268, 7725, 68, 1663, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 302, 22492, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 292, 7725, 68, 1663, 31, 204, 268, 314, 1861, 1048, 848, 7725, 292, 275, 1237, 204, 268, 348, 7725, 292, 1237, 31, 204, 305, 314, 1198, 275, 7725, 204, 305, 456, 13, 75, 7, 55, 9, 463, 10041, 7068, 1136, 20265, 89, 534, 204, 268, 314, 5360, 311, 275, 1682, 1007, 204, 268, 456, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 542, 302, 3015, 329, 2630, 292, 275, 1525, 204, 264, 771, 68, 3173, 289, 435, 204, 264, 771, 68, 6103, 289, 435, 204, 615, 264, 314, 763, 275, 7725, 1525, 497, 275, 575, 204, 264, 7725, 68, 1663, 289, 636, 68, 10041, 68, 1663, 13, 920, 68, 3173, 17, 771, 68, 6103, 14, 204, 615, 264, 314, 1198, 275, 7725, 1525, 204, 264, 456, 499, 34232, 9260, 2212, 204, 264, 456, 68, 10041, 68, 1663, 13, 10041, 68, 1663, 14, 204, 615, 264, 314, 888, 275, 1113, 7725, 204, 264, 1113, 68, 10041, 289, 949, 68, 2609, 68, 10041, 13, 10041, 68, 1663, 14, 204, 615, 264, 314, 1198, 275, 1113, 7725, 204, 264, 456, 13, 75, 7, 673, 1113, 7725, 10872, 560, 275, 3886, 353, 361, 9, 463, 2609, 68, 10041, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2454, 204, 204, 461, 2252, 68, 768, 68, 1031, 13, 768, 68, 1031, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 2735, 275, 537, 782, 1025, 273, 458, 302, 1892, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 332, 782, 1174, 2817, 18, 7996, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1892, 3634, 497, 275, 537, 782, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 782, 2950, 444, 3634, 1025, 1892, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 2252, 275, 537, 782, 1025, 273, 458, 302, 1892, 204, 268, 407, 551, 339, 13, 93, 14, 348, 610, 292, 537, 68, 1031, 19, 1590, 6485, 204, 264, 827, 987, 448, 318, 31, 204, 268, 314, 1426, 275, 908, 329, 1308, 273, 10430, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 908, 943, 204, 268, 456, 13, 75, 7, 596, 31, 4429, 1631, 444, 273, 458, 302, 1892, 19, 463, 325, 13, 74, 3835, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 1020, 68, 1129, 68, 876, 13, 1630, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 1646, 700, 292, 275, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1646, 700, 292, 275, 458, 302, 886, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 846, 741, 311, 1020, 275, 1646, 700, 204, 264, 407, 846, 13, 1630, 14, 204, 204, 461, 19476, 68, 1630, 13, 1630, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 33801, 275, 886, 560, 7057, 275, 1646, 700, 329, 18740, 490, 630, 275, 7830, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 26769, 458, 302, 886, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 1646, 700, 292, 275, 458, 204, 264, 846, 68, 876, 289, 1020, 68, 1129, 68, 876, 13, 1630, 14, 204, 264, 314, 3182, 275, 1646, 700, 497, 275, 458, 204, 264, 886, 19, 3956, 13, 1129, 68, 876, 14, 204, 264, 314, 6461, 275, 1646, 700, 630, 275, 7830, 302, 275, 458, 204, 264, 886, 19, 5021, 13, 21, 17, 846, 68, 876, 14, 204, 264, 407, 886, 204, 204, 461, 1883, 68, 1420, 13, 1630, 31, 458, 64, 339, 694, 393, 394, 31, 204, 264, 320, 204, 264, 9265, 275, 919, 448, 273, 782, 302, 2817, 18, 7996, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 782, 302, 2817, 18, 7996, 886, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5157, 741, 311, 1883, 275, 919, 782, 204, 264, 407, 379, 3759, 1541, 13, 1608, 13, 325, 17, 886, 602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 1058, 741, 5377, 275, 1354, 18, 1054, 1906, 17, 23254, 275, 537, 782, 17, 20378, 2690, 275, 886, 17, 329, 5538, 275, 919, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1706, 542, 302, 1354, 18, 1054, 1906, 353, 1917, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 435, 31, 204, 268, 456, 499, 596, 31, 35560, 447, 1051, 1354, 18, 1054, 4601, 353, 1945, 1280, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 264, 314, 763, 275, 537, 782, 497, 275, 1354, 18, 1054, 4601, 204, 264, 537, 68, 1031, 289, 2454, 19, 4983, 64, 22, 66, 204, 264, 314, 2735, 275, 537, 782, 1025, 273, 458, 302, 1892, 204, 264, 886, 289, 2252, 68, 768, 68, 1031, 13, 768, 68, 1031, 14, 204, 264, 314, 33801, 275, 886, 204, 264, 26769, 68, 1630, 289, 19476, 68, 1630, 13, 1630, 14, 204, 264, 314, 9265, 275, 919, 782, 204, 264, 919, 68, 1031, 289, 1883, 68, 1420, 13, 272, 4339, 4486, 68, 1630, 14, 204, 264, 314, 1198, 275, 919, 782, 204, 264, 456, 13, 1420, 68, 1031, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 3259, 7368, 19568, 1234, 19, 1443, 532, 7242, 204, 204, 676, 471, 579, 38, 836, 39, 82, 3029, 2862, 13, 2862, 330, 204, 264, 320, 204, 264, 332, 824, 850, 348, 5465, 471, 6003, 36446, 88, 19, 204, 204, 264, 1532, 31, 204, 268, 814, 81, 68, 359, 322, 325, 330, 334, 36446, 1222, 19, 204, 268, 814, 81, 68, 417, 322, 325, 330, 334, 36446, 588, 19, 204, 268, 4090, 322, 325, 330, 334, 4090, 19, 204, 268, 1714, 322, 325, 330, 334, 1714, 19, 204, 268, 814, 81, 68, 932, 322, 325, 330, 334, 36446, 1187, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 471, 579, 38, 836, 39, 82, 3029, 2862, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 71, 293, 579, 491, 379, 48112, 7076, 59, 22, 491, 379, 42, 579, 38, 836, 39, 82, 3029, 491, 379, 71, 293, 579, 19, 2005, 19, 48112, 19, 1453, 534, 204, 204, 264, 1642, 3830, 204, 264, 436, 814, 81, 68, 359, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 36446, 1222, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 36446, 1222, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 30614, 4729, 534, 204, 204, 264, 1642, 30614, 68, 359, 19, 11094, 204, 264, 436, 814, 81, 68, 359, 13, 327, 17, 814, 81, 68, 359, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 36446, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 814, 81, 68, 359, 322, 325, 330, 334, 36446, 1222, 311, 758, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 814, 81, 68, 359, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 370, 806, 5542, 68, 1031, 68, 2394, 611, 30614, 4729, 491, 814, 81, 68, 359, 14, 204, 268, 370, 19, 826, 68, 2394, 611, 30614, 4729, 491, 814, 81, 68, 359, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 814, 81, 68, 417, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 36446, 588, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 36446, 588, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 30614, 2687, 534, 204, 204, 264, 1642, 30614, 68, 417, 19, 11094, 204, 264, 436, 814, 81, 68, 417, 13, 327, 17, 814, 81, 68, 417, 31, 394, 14, 393, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 36446, 588, 19, 204, 204, 268, 457, 31, 204, 305, 814, 81, 68, 417, 322, 325, 330, 334, 36446, 588, 311, 758, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 814, 81, 68, 417, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 370, 806, 5542, 68, 1031, 68, 2394, 611, 30614, 2687, 491, 814, 81, 68, 417, 14, 204, 268, 370, 19, 826, 68, 2394, 611, 30614, 2687, 491, 814, 81, 68, 417, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 4090, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 4090, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 4090, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 8362, 534, 204, 204, 264, 1642, 8362, 19, 11094, 204, 264, 436, 4090, 13, 327, 17, 4090, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 4090, 19, 204, 204, 268, 457, 31, 204, 305, 4090, 322, 325, 330, 334, 4090, 311, 758, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 4090, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 370, 806, 5542, 68, 1031, 68, 2394, 611, 8362, 491, 4090, 14, 204, 268, 370, 19, 826, 68, 2394, 611, 8362, 491, 4090, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1714, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 1714, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1714, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 1835, 534, 204, 204, 264, 1642, 1835, 19, 11094, 204, 264, 436, 1714, 13, 327, 17, 1714, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 1714, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 322, 325, 330, 334, 1714, 311, 758, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 1714, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 370, 806, 5542, 68, 1031, 68, 2394, 611, 1835, 491, 1714, 14, 204, 268, 370, 19, 826, 68, 2394, 611, 1835, 491, 1714, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 814, 81, 68, 932, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 36446, 1187, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 36446, 1187, 19, 204, 268, 320, 204, 268, 407, 370, 19, 505, 68, 2645, 1528, 505, 611, 932, 534, 204, 204, 264, 1642, 30614, 68, 932, 19, 11094, 204, 264, 436, 814, 81, 68, 932, 13, 327, 17, 814, 81, 68, 932, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 36446, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 814, 81, 68, 932, 322, 325, 330, 334, 36446, 1187, 311, 758, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 814, 81, 68, 932, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 370, 806, 5542, 68, 1031, 68, 2394, 611, 932, 491, 814, 81, 68, 932, 14, 204, 268, 370, 19, 826, 68, 2394, 611, 932, 491, 814, 81, 68, 932, 14, 204, 204, 264, 436, 906, 5542, 68, 1031, 68, 2394, 13, 327, 17, 6941, 68, 417, 31, 394, 17, 6941, 68, 876, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11149, 397, 275, 800, 3918, 700, 353, 273, 782, 19, 204, 204, 268, 457, 31, 204, 305, 6941, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3918, 19, 204, 305, 6941, 68, 876, 322, 325, 330, 334, 700, 302, 275, 3918, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 6941, 68, 876, 353, 508, 273, 782, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 2394, 68, 876, 17, 394, 330, 204, 305, 980, 3660, 13, 75, 1954, 2394, 68, 417, 98, 1631, 444, 273, 782, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 824, 289, 471, 579, 38, 836, 39, 82, 3029, 2862, 374, 204, 264, 824, 19, 30614, 68, 359, 289, 388, 30614, 18, 4326, 7, 204, 264, 824, 19, 30614, 68, 417, 289, 388, 7061, 36446, 7, 204, 264, 824, 19, 8362, 289, 388, 6790, 7, 204, 264, 824, 19, 1835, 289, 388, 4187, 7, 204, 264, 824, 19, 30614, 68, 932, 289, 388, 27688, 25, 7, 204, 264, 456, 13, 1443, 19, 505, 68, 2645, 1447, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 5310, 27079, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1351, 4316, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 204, 676, 5310, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1351, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 2350, 68, 2895, 289, 1094, 19, 18315, 13, 2305, 34, 21, 14, 204, 264, 3695, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 14, 204, 264, 4316, 289, 1094, 19, 4483, 13, 6902, 27079, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 3840, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 7077, 17, 4247, 34, 1021, 14, 204, 264, 11231, 289, 1094, 19, 7320, 13, 8436, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 204, 8, 6171, 19, 948, 204, 531, 1498, 532, 783, 204, 531, 2617, 1618, 532, 5310, 17, 5310, 27079, 204, 204, 676, 5310, 5619, 31, 204, 264, 320, 204, 264, 14068, 2986, 311, 2811, 26250, 2758, 523, 4009, 19, 204, 264, 320, 204, 264, 1642, 4460, 204, 264, 436, 838, 68, 2572, 13, 417, 31, 394, 17, 2350, 68, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2895, 31, 818, 17, 3695, 31, 394, 289, 8897, 4316, 68, 359, 31, 421, 289, 443, 17, 3840, 31, 394, 289, 8897, 11231, 31, 394, 289, 11070, 393, 5310, 31, 204, 268, 320, 204, 268, 2605, 273, 717, 1351, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1351, 19, 204, 305, 2350, 68, 2895, 322, 996, 330, 334, 2350, 2297, 302, 275, 1351, 19, 204, 305, 3695, 322, 325, 17, 1448, 330, 334, 3695, 302, 275, 1351, 19, 1243, 311, 13080, 204, 305, 4316, 68, 359, 322, 339, 17, 1448, 330, 334, 1222, 302, 275, 1351, 4316, 19, 1243, 311, 443, 19, 204, 305, 3840, 322, 325, 17, 1448, 330, 334, 752, 302, 275, 1351, 19, 1243, 311, 13080, 204, 305, 11231, 322, 325, 17, 1448, 330, 334, 11231, 302, 275, 1351, 19, 1243, 311, 13080, 204, 204, 268, 475, 31, 204, 305, 5310, 31, 334, 1966, 1351, 19, 204, 268, 320, 204, 268, 4316, 289, 443, 204, 268, 397, 4316, 68, 359, 31, 204, 305, 4316, 289, 5310, 27079, 19, 2856, 19, 505, 13, 359, 34, 13212, 68, 359, 14, 204, 268, 1351, 289, 5310, 13, 204, 305, 588, 34, 417, 17, 204, 305, 2350, 68, 2895, 34, 4375, 68, 2895, 17, 204, 305, 3695, 34, 4810, 17, 204, 305, 4316, 34, 13212, 17, 204, 305, 3840, 34, 3371, 17, 204, 305, 11231, 34, 18398, 204, 268, 1179, 204, 268, 1351, 19, 2360, 374, 204, 268, 407, 1351, 204, 204, 264, 1642, 4460, 204, 264, 436, 636, 68, 7297, 374, 393, 783, 64, 6902, 744, 204, 268, 320, 204, 268, 4071, 830, 4009, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 6902, 744, 332, 458, 302, 4009, 19, 204, 268, 320, 204, 268, 407, 5310, 19, 2856, 19, 668, 374, 204, 204, 264, 1642, 4460, 204, 264, 436, 636, 68, 2572, 13, 359, 31, 421, 14, 393, 5310, 31, 204, 268, 320, 204, 268, 4071, 273, 1351, 560, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 204, 268, 475, 31, 204, 305, 5310, 31, 334, 1351, 19, 204, 268, 320, 204, 268, 407, 5310, 19, 2856, 19, 505, 13, 359, 34, 359, 14, 204, 204, 264, 1642, 4460, 204, 264, 436, 1395, 68, 2572, 13, 359, 31, 421, 17, 588, 31, 394, 289, 8897, 2350, 68, 2895, 31, 818, 289, 443, 17, 3695, 31, 394, 289, 8897, 4316, 68, 359, 31, 421, 289, 443, 17, 3840, 31, 394, 289, 8897, 11231, 31, 394, 289, 11070, 393, 5310, 31, 204, 268, 320, 204, 268, 5307, 273, 1351, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 305, 588, 322, 325, 17, 1448, 330, 334, 717, 588, 302, 275, 1351, 19, 1243, 311, 13080, 204, 305, 2350, 68, 2895, 322, 996, 17, 1448, 330, 334, 717, 2350, 2297, 302, 275, 1351, 19, 1243, 311, 443, 19, 204, 305, 3695, 322, 325, 17, 1448, 330, 334, 717, 3695, 302, 275, 1351, 19, 1243, 311, 13080, 204, 305, 4316, 68, 359, 322, 339, 17, 1448, 330, 334, 717, 1222, 302, 275, 1351, 4316, 19, 1243, 311, 443, 19, 204, 305, 3840, 322, 325, 17, 1448, 330, 334, 717, 752, 302, 275, 1351, 19, 1243, 311, 13080, 204, 305, 11231, 322, 325, 17, 1448, 330, 334, 717, 11231, 302, 275, 1351, 19, 1243, 311, 13080, 204, 204, 268, 475, 31, 204, 305, 5310, 31, 334, 2908, 1351, 19, 204, 268, 320, 204, 268, 1351, 289, 5310, 19, 2856, 19, 505, 13, 359, 34, 359, 14, 204, 268, 397, 588, 31, 204, 305, 1351, 19, 417, 289, 588, 204, 268, 397, 2350, 68, 2895, 31, 204, 305, 1351, 19, 4375, 68, 2895, 289, 2350, 68, 2895, 204, 268, 397, 3695, 31, 204, 305, 1351, 19, 4810, 289, 3695, 204, 268, 397, 4316, 68, 359, 31, 204, 305, 1351, 19, 13212, 289, 5310, 27079, 19, 2856, 19, 505, 13, 359, 34, 13212, 68, 359, 14, 204, 268, 397, 3840, 31, 204, 305, 1351, 19, 3371, 289, 3840, 204, 268, 397, 11231, 31, 204, 305, 1351, 19, 18398, 289, 11231, 204, 268, 1351, 19, 2360, 374, 204, 268, 407, 1351, 204, 204, 264, 1642, 4460, 204, 264, 436, 4032, 68, 2572, 13, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 273, 1351, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 268, 320, 204, 268, 5310, 19, 2856, 19, 505, 13, 359, 34, 359, 789, 2756, 374, 204, 204, 204, 8, 5020, 19, 948, 204, 531, 1907, 19, 1942, 532, 10192, 204, 531, 2617, 12533, 532, 5310, 5619, 204, 204, 461, 838, 68, 2572, 13, 1443, 330, 204, 264, 320, 204, 264, 2605, 273, 717, 1351, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 3426, 824, 19, 204, 204, 264, 475, 31, 204, 268, 10192, 31, 332, 2084, 958, 440, 275, 1966, 1351, 19, 204, 264, 320, 204, 264, 424, 289, 824, 19, 4252, 204, 264, 1351, 289, 5310, 5619, 19, 1510, 68, 2572, 13, 204, 268, 588, 34, 481, 19, 505, 499, 417, 3186, 204, 268, 2350, 68, 2895, 34, 996, 13, 481, 19, 505, 499, 4375, 68, 2895, 20102, 204, 268, 3695, 34, 481, 19, 505, 499, 4810, 528, 27945, 204, 268, 4316, 68, 359, 34, 339, 13, 481, 19, 505, 499, 13212, 68, 359, 528, 500, 602, 397, 424, 19, 505, 499, 13212, 68, 359, 431, 902, 443, 17, 204, 268, 3840, 34, 481, 19, 505, 499, 3371, 528, 27945, 204, 268, 11231, 34, 481, 19, 505, 499, 18398, 528, 11070, 204, 264, 1179, 204, 264, 407, 10192, 7075, 2572, 559, 2832, 359, 559, 1351, 19, 359, 17, 388, 417, 559, 1351, 19, 417, 27035, 204, 204, 204, 461, 636, 68, 7297, 13, 1443, 330, 204, 264, 320, 204, 264, 4071, 830, 4009, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 3426, 824, 19, 204, 204, 264, 475, 31, 204, 268, 10192, 31, 332, 2084, 958, 440, 275, 458, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 4009, 19, 204, 264, 320, 204, 264, 4009, 289, 5310, 5619, 19, 505, 68, 7297, 374, 204, 264, 407, 10192, 7075, 7297, 559, 20866, 359, 559, 1351, 19, 359, 17, 388, 417, 559, 1351, 19, 417, 98, 348, 1351, 292, 4009, 23647, 204, 204, 204, 461, 636, 68, 2572, 13, 1443, 17, 1276, 330, 204, 264, 320, 204, 264, 4071, 273, 1351, 560, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 3426, 824, 19, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 204, 264, 475, 31, 204, 268, 10192, 31, 332, 2084, 958, 440, 275, 1351, 19, 204, 264, 320, 204, 264, 1351, 289, 5310, 5619, 19, 505, 68, 2572, 13, 359, 14, 204, 264, 407, 10192, 7075, 2572, 559, 2832, 359, 559, 1351, 19, 359, 17, 388, 417, 559, 1351, 19, 417, 27035, 204, 204, 204, 461, 1395, 68, 2572, 13, 1443, 17, 1276, 330, 204, 264, 320, 204, 264, 5307, 273, 1351, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 3426, 824, 19, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 204, 264, 475, 31, 204, 268, 10192, 31, 332, 2084, 958, 440, 275, 2908, 1351, 19, 204, 264, 320, 204, 264, 424, 289, 824, 19, 4252, 204, 264, 1351, 289, 5310, 5619, 19, 2045, 68, 2572, 13, 204, 268, 1276, 17, 204, 268, 588, 34, 481, 19, 505, 499, 417, 528, 27945, 204, 268, 2350, 68, 2895, 34, 996, 13, 481, 19, 505, 499, 4375, 68, 2895, 528, 500, 602, 397, 424, 19, 505, 499, 4375, 68, 2895, 431, 902, 443, 17, 204, 268, 3695, 34, 481, 19, 505, 499, 4810, 528, 27945, 204, 268, 4316, 68, 359, 34, 339, 13, 481, 19, 505, 499, 13212, 68, 359, 528, 500, 602, 397, 424, 19, 505, 499, 13212, 68, 359, 431, 902, 443, 17, 204, 268, 3840, 34, 481, 19, 505, 499, 3371, 528, 27945, 204, 268, 11231, 34, 481, 19, 505, 499, 18398, 528, 11070, 204, 264, 1179, 204, 264, 407, 10192, 7075, 2572, 559, 2832, 359, 559, 1351, 19, 359, 17, 388, 417, 559, 1351, 19, 417, 27035, 204, 204, 204, 461, 4032, 68, 2572, 13, 1443, 17, 1276, 330, 204, 264, 320, 204, 264, 11183, 273, 1351, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 3426, 824, 19, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1351, 19, 204, 204, 264, 475, 31, 204, 268, 10192, 31, 332, 2084, 958, 440, 273, 1978, 943, 19, 204, 264, 320, 204, 264, 5310, 5619, 19, 2756, 68, 2572, 13, 359, 14, 204, 264, 407, 10192, 7075, 1454, 559, 388, 6902, 8143, 4073, 12483, 204, 0, 658, 30417, 31, 30698, 30417, 7668, 204, 204, 1380, 37226, 204, 204, 673, 30698, 7443, 2162, 353, 273, 12713, 1525, 496, 12052, 275, 1259, 302, 7443, 630, 273, 917, 6204, 273, 46954, 19, 1547, 353, 4310, 448, 273, 3542, 4708, 496, 13562, 523, 437, 1864, 2450, 311, 6626, 273, 1272, 380, 2450, 322, 6921, 2450, 841, 2350, 1864, 789, 204, 204, 1380, 4964, 380, 8639, 204, 204, 673, 1272, 380, 2450, 353, 4310, 448, 275, 2955, 2450, 841, 2350, 1864, 11877, 523, 273, 3776, 440, 273, 2519, 2450, 19, 1547, 618, 444, 3392, 974, 275, 30698, 7443, 2162, 329, 275, 2519, 2450, 302, 275, 3776, 19, 204, 204, 1380, 30698, 30417, 313, 19107, 20777, 204, 204, 673, 30698, 7443, 40885, 353, 273, 3773, 1376, 311, 7647, 496, 275, 1259, 302, 7443, 630, 273, 917, 6204, 273, 46954, 353, 2590, 18, 10208, 974, 273, 12713, 1525, 19, 1547, 5628, 8442, 437, 37273, 27223, 40885, 440, 3420, 6587, 10066, 311, 275, 7032, 5302, 329, 437, 18086, 2450, 19, 204, 204, 1380, 41722, 302, 275, 30417, 9260, 204, 204, 673, 30698, 7443, 2162, 353, 12713, 17, 5268, 496, 275, 7443, 1525, 353, 1936, 311, 1163, 17478, 19, 1058, 13825, 353, 273, 722, 302, 275, 5353, 13471, 302, 275, 3821, 17, 928, 6481, 496, 275, 5353, 302, 275, 8348, 6971, 11877, 523, 437, 37273, 27223, 30921, 353, 1936, 311, 275, 2233, 302, 2652, 302, 275, 9955, 8454, 19, 204, 204, 1380, 6503, 329, 6234, 290, 30417, 204, 204, 673, 2519, 7443, 353, 275, 4781, 302, 275, 2955, 11877, 10066, 311, 273, 6258, 17, 1335, 275, 19970, 7443, 353, 275, 6922, 302, 275, 4781, 302, 275, 1272, 380, 2450, 11877, 5966, 311, 275, 3776, 302, 275, 6258, 19, 204, 204, 1380, 28020, 1200, 5469, 329, 28020, 16940, 1027, 204, 204, 673, 9758, 31293, 329, 9758, 7505, 529, 275, 14424, 329, 17893, 302, 275, 7443, 2162, 17, 8866, 19, 3433, 1173, 275, 1646, 329, 2311, 31293, 11877, 523, 273, 3821, 329, 275, 7505, 292, 928, 1605, 31293, 1249, 19, 204, 204, 1380, 9134, 204, 204, 12124, 18, 11464, 329, 2327, 18, 11464, 6016, 529, 1917, 311, 17886, 275, 7345, 302, 7443, 17, 1272, 380, 5302, 17, 329, 9758, 31293, 329, 7505, 19, 4171, 6016, 2512, 3612, 311, 537, 1019, 329, 8603, 275, 6465, 31293, 329, 5302, 19, 204, 204, 7108, 31, 332, 40975, 867, 21638, 685, 292, 275, 2171, 1068, 17, 28264, 311, 14568, 720, 5976, 302, 14568, 681, 292, 275, 2342, 302, 275, 13825, 302, 275, 7443, 1525, 19, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 315, 204, 16231, 523, 11166, 20, 1641, 20, 3699, 2153, 31, 3699, 204, 37, 4020, 31, 317, 9120, 625, 94, 204, 315, 204, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4277, 532, 6835, 17, 18058, 204, 204, 461, 1137, 68, 5931, 68, 2182, 374, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 275, 3258, 1485, 497, 38474, 18, 3838, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 424, 329, 1029, 2558, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 3258, 1485, 497, 38474, 18, 3838, 204, 264, 3258, 289, 6835, 19, 986, 68, 5931, 374, 204, 264, 314, 1986, 275, 424, 329, 1029, 2558, 204, 264, 424, 289, 3258, 19, 481, 204, 264, 1029, 289, 3258, 19, 2170, 204, 264, 407, 424, 17, 1029, 204, 204, 461, 4185, 68, 18366, 68, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 809, 13, 481, 31, 726, 17, 300, 68, 7027, 31, 421, 289, 443, 14, 393, 18058, 19, 32554, 31, 204, 264, 320, 204, 264, 10083, 273, 14054, 570, 311, 275, 1917, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1386, 330, 334, 424, 311, 4185, 275, 570, 311, 19, 204, 268, 300, 68, 7027, 322, 339, 17, 1448, 330, 334, 542, 302, 4550, 311, 15753, 19, 1243, 311, 443, 19, 204, 204, 264, 475, 31, 204, 268, 18058, 19, 32554, 31, 334, 16334, 14054, 570, 19, 204, 264, 320, 204, 264, 314, 977, 273, 14054, 570, 204, 264, 20297, 289, 18058, 19, 32554, 13, 83, 68, 7027, 34, 83, 68, 7027, 14, 204, 264, 314, 10083, 275, 570, 311, 275, 424, 204, 264, 20297, 19, 2714, 13, 481, 14, 204, 264, 407, 20297, 204, 204, 461, 1807, 68, 43784, 68, 6788, 13, 18366, 31, 18058, 19, 32554, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 13171, 6951, 302, 275, 14054, 570, 19, 204, 204, 264, 457, 31, 204, 268, 20297, 322, 27624, 19, 32554, 330, 334, 16334, 14054, 570, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1003, 17, 887, 602, 204, 264, 314, 3045, 275, 13171, 6951, 204, 264, 1513, 19, 1657, 13, 18366, 19, 43784, 68, 6788, 68, 6534, 14596, 379, 80, 491, 8973, 833, 84, 534, 204, 264, 1513, 19, 7246, 611, 4290, 302, 35727, 491, 15398, 34, 1845, 14, 204, 264, 1513, 19, 7127, 611, 10558, 33930, 26174, 17275, 491, 15398, 34, 1845, 14, 204, 264, 1513, 19, 1778, 611, 10558, 33930, 26174, 17275, 302, 14054, 3746, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1137, 424, 17, 4185, 14054, 570, 17, 329, 1807, 13171, 6951, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 3258, 1485, 204, 264, 424, 17, 906, 289, 1137, 68, 5931, 68, 2182, 374, 204, 264, 314, 10083, 273, 14054, 570, 311, 275, 424, 204, 264, 20297, 289, 4185, 68, 18366, 68, 809, 13, 481, 14, 204, 264, 314, 3045, 275, 13171, 6951, 302, 275, 14054, 570, 204, 264, 1807, 68, 43784, 68, 6788, 13, 18366, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 921, 57, 14514, 2014, 4709, 1689, 31801, 7702, 9121, 1946, 408, 1970, 10852, 7833, 8612, 3579, 31801, 7702, 9121, 408, 6765, 5851, 47957, 831, 2371, 26829, 7702, 9121, 4015, 7749, 38011, 16322, 20347, 29735, 831, 7789, 1036, 1689, 28998, 1565, 7509, 1116, 408, 5643, 2426, 1251, 8333, 6347, 36057, 6817, 22726, 2253, 16526, 2494, 8802, 30384, 7749, 38011, 4002, 44886, 921, 30297, 15733, 40544, 245, 6817, 47160, 5282, 2453, 41, 843, 2677, 38, 23829, 4872, 35419, 269, 43829, 2653, 40544, 245, 1603, 3994, 3500, 12265, 13894, 1902, 18518, 408, 19865, 26216, 4987, 1189, 6079, 3878, 3064, 7711, 12582, 35500, 2453, 47039, 6152, 44328, 12646, 2654, 568, 6079, 15851, 12676, 3994, 2065, 8780, 6347, 41, 10543, 2677, 6192, 1252, 33952, 2653, 35558, 2278, 831, 47698, 11509, 2321, 408, 2253, 41, 10543, 23445, 3079, 3768, 3038, 5851, 1902, 5873, 408, 2778, 6308, 1377, 3944, 22096, 12515, 7162, 6155, 568, 17622, 854, 40577, 20133, 612, 12032, 2338, 13840, 1257, 2677, 6192, 29037, 2338, 50, 14725, 418, 45, 616, 1570, 10412, 6079, 1886, 12676, 36135, 8547, 5299, 25708, 5788, 3058, 20133, 612, 12032, 23445, 1902, 4311, 460, 1902, 1251, 22862, 408, 4518, 5629, 4264, 7413, 5928, 6478, 40861, 2235, 8612, 4684, 36190, 40544, 245, 13840, 1257, 23445, 28759, 408, 12840, 921, 1002, 5137, 3602, 2338, 5124, 5241, 2815, 4250, 35903, 1191, 7416, 21590, 568, 2183, 9121, 3571, 56, 290, 3901, 18, 59, 26569, 39, 612, 333, 2338, 48319, 55, 1312, 375, 7939, 9121, 17211, 8570, 3883, 568, 204, 0, 658, 19947, 275, 11010, 302, 2802, 27847, 329, 852, 301, 204, 204, 1380, 8519, 1070, 2802, 27847, 311, 415, 5396, 1015, 204, 204, 673, 3351, 302, 273, 13333, 618, 444, 14733, 560, 23741, 490, 311, 273, 18909, 19, 332, 469, 651, 365, 353, 273, 13737, 18, 6070, 13333, 6738, 4678, 353, 292, 1007, 440, 1051, 302, 275, 5855, 302, 275, 1034, 19, 716, 204, 22, 19, 930, 5058, 830, 2327, 469, 651, 365, 874, 275, 1729, 3351, 9390, 204, 262, 338, 14580, 17, 830, 2327, 469, 651, 365, 874, 275, 1729, 3351, 2404, 1250, 529, 940, 6483, 336, 497, 275, 1729, 6871, 329, 848, 44489, 1051, 18, 15094, 302, 275, 6871, 677, 3351, 19, 204, 204, 23, 19, 930, 44968, 275, 3351, 302, 1051, 469, 651, 365, 974, 275, 3351, 302, 273, 6871, 11599, 204, 262, 338, 334, 3351, 302, 273, 6871, 353, 800, 560, 4728, 59, 289, 297, 67, 24, 14773, 1273, 4728, 88, 8021, 353, 275, 1277, 302, 437, 3428, 302, 275, 6871, 19, 4682, 848, 469, 651, 365, 353, 1051, 18, 15094, 302, 275, 6871, 17, 275, 3351, 302, 1051, 469, 651, 365, 353, 16815, 1209, 96, 22, 1134, 24, 98, 59, 289, 688, 1209, 96, 22, 1134, 24, 98, 88, 67, 24, 18636, 204, 204, 24, 19, 930, 5058, 830, 2327, 469, 651, 365, 3848, 874, 275, 1729, 3351, 1330, 275, 6871, 353, 7716, 311, 273, 18909, 9390, 204, 262, 338, 14580, 17, 2219, 1330, 275, 6871, 353, 7716, 311, 273, 18909, 560, 13520, 1067, 273, 917, 17, 830, 2327, 469, 651, 365, 3848, 874, 275, 1729, 3351, 19, 1058, 353, 2404, 275, 6220, 30155, 275, 11832, 3633, 1283, 275, 14827, 302, 275, 469, 651, 365, 329, 275, 18909, 19, 204, 204, 1380, 10006, 41495, 2802, 27847, 204, 204, 673, 3351, 302, 1647, 41495, 36101, 618, 444, 14733, 974, 10143, 577, 3198, 78, 677, 30498, 17, 928, 3584, 496, 397, 970, 31083, 874, 275, 1729, 1034, 1864, 329, 275, 1729, 1853, 17, 1675, 1250, 874, 275, 1729, 3351, 19, 204, 204, 22, 19, 930, 31826, 275, 4393, 18, 3769, 4549, 11407, 13, 38, 68, 22, 8021, 329, 4728, 38, 68, 23, 65, 602, 1330, 5751, 917, 4728, 47, 8021, 719, 329, 1873, 11599, 204, 262, 338, 334, 4393, 18, 3769, 4549, 4728, 38, 68, 22, 8021, 329, 4728, 38, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 23, 8021, 529, 1936, 630, 3310, 8889, 17, 5850, 496, 275, 36101, 874, 275, 1729, 3351, 5575, 311, 10143, 577, 3198, 78, 677, 30498, 19, 204, 204, 23, 19, 930, 31826, 275, 14827, 302, 275, 970, 36101, 11407, 13, 59, 68, 22, 8021, 329, 4728, 59, 68, 23, 65, 602, 1330, 5751, 275, 4678, 302, 1051, 13333, 11599, 204, 262, 338, 29711, 275, 4678, 302, 1051, 13333, 1583, 508, 2652, 1163, 3351, 4785, 311, 275, 904, 13333, 17, 448, 2482, 448, 275, 1034, 1864, 329, 1853, 2709, 275, 1729, 19, 204, 204, 24, 19, 930, 7279, 35248, 275, 12074, 329, 17929, 1475, 311, 10143, 577, 3198, 78, 677, 30498, 329, 275, 2089, 348, 275, 3351, 302, 830, 36101, 11599, 204, 262, 338, 334, 12074, 8956, 496, 830, 36101, 17, 16527, 302, 2545, 1629, 521, 1647, 41495, 17, 874, 273, 3351, 496, 353, 16815, 1209, 96, 22, 1134, 24, 22116, 302, 275, 3351, 302, 273, 18909, 440, 275, 1729, 1034, 1864, 329, 1853, 19, 1058, 13157, 275, 2089, 348, 275, 3351, 302, 273, 13333, 31, 4728, 59, 289, 688, 1209, 96, 22, 1134, 24, 98, 39, 77, 14773, 1273, 4728, 39, 8021, 353, 275, 1034, 1864, 329, 4728, 77, 8021, 353, 275, 1853, 19, 204, 204, 1380, 19947, 275, 11010, 302, 273, 47151, 204, 204, 673, 3351, 302, 273, 13708, 618, 444, 14733, 560, 8442, 490, 448, 273, 23954, 1322, 302, 273, 13333, 440, 437, 5992, 542, 302, 2902, 19, 204, 204, 22, 19, 930, 3728, 4368, 1583, 275, 13333, 1012, 311, 24896, 448, 275, 542, 302, 6587, 7529, 9390, 204, 262, 338, 3242, 275, 542, 302, 6587, 7529, 17, 275, 13333, 7036, 311, 24896, 273, 13708, 19, 204, 204, 23, 19, 930, 35460, 275, 2089, 348, 275, 3351, 302, 273, 13708, 329, 5408, 490, 440, 275, 2089, 348, 275, 3351, 302, 273, 13333, 11599, 204, 262, 338, 334, 2089, 348, 275, 3351, 302, 273, 13708, 353, 4728, 59, 289, 688, 1209, 96, 22, 1134, 24, 2277, 1460, 468, 67, 23, 77, 14773, 1273, 4728, 87, 8021, 353, 275, 3441, 329, 4728, 77, 8021, 353, 275, 1853, 19, 1058, 353, 3557, 311, 275, 2089, 348, 275, 3351, 302, 273, 13333, 17, 4728, 59, 289, 688, 1209, 96, 22, 1134, 24, 98, 39, 77, 14773, 1273, 4728, 39, 8021, 353, 275, 1034, 1864, 19, 1765, 273, 13708, 17, 275, 1034, 1864, 4728, 39, 8021, 353, 16815, 1460, 468, 67, 23, 18636, 204, 204, 24, 19, 930, 40026, 275, 1727, 1283, 275, 970, 9994, 11599, 204, 262, 338, 334, 1727, 1283, 275, 970, 9994, 12034, 292, 275, 3718, 496, 273, 13708, 618, 444, 6028, 273, 4338, 1322, 302, 273, 13333, 1273, 275, 1034, 353, 273, 3620, 329, 275, 542, 302, 2902, 7881, 9556, 19, 1058, 5814, 275, 2089, 348, 275, 3351, 302, 273, 13708, 273, 2824, 1650, 302, 275, 4303, 2089, 348, 275, 3351, 302, 273, 13333, 19, 0, 3728, 5117, 353, 273, 7400, 1007, 17, 329, 928, 6258, 353, 490, 9470, 523, 36, 204, 204, 38, 7400, 1007, 353, 6028, 273, 368, 18, 11464, 726, 19, 1547, 618, 444, 9470, 523, 1169, 302, 275, 24131, 1910, 16113, 292, 571, 18, 11464, 2817, 17, 2864, 275, 11412, 6258, 17, 610, 95, 6258, 17, 521, 45386, 6258, 17, 448, 2590, 448, 1910, 5261, 19, 204, 204, 3719, 273, 1007, 353, 9470, 523, 1051, 302, 1605, 16113, 17, 490, 677, 2237, 348, 273, 435, 18, 11464, 726, 311, 444, 4213, 8944, 275, 1007, 1330, 34889, 5728, 19, 11815, 2090, 273, 571, 18, 11464, 726, 618, 19952, 8944, 273, 435, 18, 11464, 1051, 17, 273, 435, 18, 11464, 726, 618, 19952, 8944, 273, 368, 18, 11464, 1007, 19, 3065, 677, 9430, 496, 15362, 808, 497, 19276, 19, 204, 204, 673, 5127, 273, 1007, 353, 6028, 368, 18, 11464, 353, 496, 490, 618, 444, 7196, 560, 20252, 273, 2875, 3918, 17, 1702, 448, 273, 10179, 3536, 302, 273, 917, 292, 435, 18, 2816, 521, 571, 18, 2816, 19, 1765, 1763, 17, 292, 571, 18, 2816, 17, 273, 1007, 618, 444, 4310, 560, 275, 2992, 322, 530, 17, 28465, 17, 30654, 659, 1273, 265, 353, 273, 1554, 329, 273, 17, 308, 17, 329, 279, 529, 3324, 2318, 886, 19, 3242, 265, 18862, 17, 275, 6465, 758, 302, 1728, 4840, 273, 7400, 1007, 19, 4682, 1698, 1051, 700, 322, 89, 14, 5252, 311, 444, 24157, 311, 7072, 275, 1007, 17, 490, 353, 6028, 368, 18, 11464, 19, 204, 204, 3837, 677, 1425, 9631, 21214, 496, 273, 1007, 618, 444, 275, 6907, 302, 970, 16113, 292, 571, 18, 11464, 2817, 17, 329, 490, 677, 508, 9122, 311, 2842, 275, 11412, 17, 610, 95, 17, 521, 45386, 16113, 19, 3065, 529, 24131, 1910, 16113, 329, 2238, 292, 571, 18, 11464, 2817, 17, 329, 273, 1007, 618, 444, 9470, 523, 1169, 302, 1475, 19, 0, 531, 1127, 532, 15549, 204, 531, 9688, 532, 4028, 23, 448, 4028, 68, 553, 204, 531, 8378, 532, 2621, 204, 647, 1804, 204, 204, 461, 12622, 68, 2819, 13, 2819, 68, 546, 31, 2621, 17, 12622, 68, 546, 31, 2621, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9469, 88, 719, 275, 1104, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 1104, 510, 19, 204, 268, 12622, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 12622, 1445, 19, 204, 264, 320, 204, 264, 314, 666, 275, 12622, 1445, 397, 490, 5409, 2964, 1337, 204, 264, 12622, 68, 546, 19, 13986, 13, 13560, 34, 1021, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 264, 314, 2069, 275, 12622, 2049, 204, 264, 12622, 68, 417, 289, 283, 7, 72, 68, 7485, 1859, 2664, 19, 672, 19, 10388, 374, 3572, 1479, 7, 204, 264, 4028, 68, 553, 13, 2819, 68, 546, 17, 12622, 68, 546, 802, 12622, 68, 417, 14, 204, 264, 456, 499, 7073, 39706, 719, 431, 204, 204, 461, 636, 68, 4455, 2124, 68, 655, 13, 2922, 68, 4455, 2124, 31, 1804, 19, 672, 289, 1804, 19, 672, 13, 8679, 17, 931, 17, 720, 602, 393, 458, 64, 2664, 19, 672, 744, 204, 264, 320, 204, 264, 3596, 273, 458, 302, 275, 2327, 472, 1299, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1260, 4948, 311, 275, 790, 1489, 19, 204, 204, 264, 457, 31, 204, 268, 1043, 68, 4455, 2124, 322, 2664, 19, 672, 17, 1448, 330, 334, 1043, 2761, 2124, 19, 1243, 311, 1804, 19, 672, 13, 8679, 17, 931, 17, 720, 789, 204, 204, 264, 475, 31, 204, 268, 458, 64, 2664, 19, 672, 744, 332, 458, 302, 275, 2327, 472, 1299, 1260, 4948, 311, 275, 790, 1489, 19, 204, 264, 320, 204, 264, 5319, 289, 1804, 19, 672, 19, 10388, 374, 204, 264, 8232, 68, 75, 16164, 289, 5319, 465, 1804, 19, 15392, 13, 4936, 3644, 25, 338, 5319, 19, 25394, 5887, 204, 204, 264, 314, 778, 397, 490, 677, 273, 2761, 2124, 204, 264, 397, 322, 16919, 68, 75, 16164, 338, 1043, 68, 4455, 2124, 789, 4936, 1564, 2905, 2167, 500, 31, 204, 268, 8232, 68, 75, 16164, 4922, 1804, 19, 15392, 13, 4936, 34, 28, 14, 204, 204, 264, 314, 2069, 275, 458, 302, 2761, 4936, 204, 264, 283, 16164, 68, 655, 289, 551, 204, 268, 8232, 68, 75, 16164, 17, 204, 268, 8232, 68, 75, 16164, 338, 1804, 19, 15392, 13, 4936, 34, 2300, 659, 204, 268, 8232, 68, 75, 16164, 338, 1804, 19, 15392, 13, 4936, 34, 4023, 659, 204, 264, 2437, 204, 204, 264, 407, 283, 16164, 68, 655, 204, 204, 461, 5710, 68, 4455, 2124, 13, 75, 16164, 68, 655, 31, 458, 64, 2664, 19, 672, 694, 393, 1804, 19, 672, 31, 204, 264, 320, 204, 264, 4176, 16288, 273, 458, 302, 571, 2761, 4936, 17, 2584, 275, 7540, 2761, 2124, 19, 204, 204, 264, 457, 31, 204, 268, 283, 16164, 68, 655, 322, 655, 64, 2664, 19, 672, 1037, 332, 458, 302, 2761, 4936, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 19, 672, 31, 334, 7540, 2761, 2124, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 458, 302, 2761, 4936, 204, 264, 348, 1112, 17, 2761, 2124, 292, 3209, 13, 75, 16164, 68, 655, 17, 368, 330, 204, 268, 456, 13, 75, 1954, 998, 98, 1164, 463, 4455, 2124, 743, 204, 204, 264, 314, 763, 275, 575, 677, 7101, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 4285, 68, 4455, 2124, 289, 283, 16164, 68, 655, 64, 339, 13, 768, 499, 10894, 275, 2761, 2124, 2545, 11314, 31, 4091, 338, 368, 66, 204, 305, 2280, 204, 268, 827, 322, 11874, 17, 9394, 330, 204, 305, 456, 499, 1962, 537, 19, 2982, 810, 2528, 1280, 204, 204, 264, 407, 4285, 68, 4455, 2124, 204, 204, 461, 2284, 68, 4455, 28075, 13, 9227, 68, 4455, 2124, 31, 1804, 19, 672, 17, 2761, 28075, 68, 924, 68, 546, 31, 2621, 17, 406, 15598, 68, 3810, 68, 546, 31, 2621, 14, 393, 1804, 19, 672, 31, 204, 264, 320, 204, 264, 21597, 329, 304, 2199, 275, 2761, 28075, 19, 204, 204, 264, 457, 31, 204, 268, 4285, 68, 4455, 2124, 322, 2664, 19, 672, 330, 334, 4285, 2761, 2124, 19, 204, 268, 2761, 28075, 68, 924, 68, 546, 322, 4203, 330, 334, 1419, 832, 302, 275, 2761, 28075, 19, 204, 268, 406, 15598, 68, 3810, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 406, 15598, 4622, 19, 204, 204, 264, 475, 31, 204, 268, 1804, 19, 672, 31, 334, 4285, 2761, 2124, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 717, 2049, 204, 264, 717, 68, 2029, 289, 283, 1954, 9227, 68, 4455, 2124, 3572, 7129, 7, 204, 264, 717, 68, 546, 289, 406, 15598, 68, 3810, 68, 546, 802, 717, 68, 2029, 204, 204, 264, 314, 778, 397, 275, 2761, 28075, 2560, 204, 264, 397, 508, 2761, 28075, 68, 924, 68, 546, 19, 4332, 1293, 204, 268, 456, 499, 673, 2761, 28075, 353, 508, 292, 275, 29565, 4622, 19, 2982, 4065, 490, 329, 3692, 11612, 19, 828, 490, 869, 1742, 10094, 2861, 17, 2064, 379, 83, 17998, 204, 268, 958, 289, 537, 374, 204, 268, 397, 958, 19, 3006, 374, 564, 379, 83, 597, 204, 305, 407, 4285, 68, 4455, 2124, 204, 204, 264, 314, 5360, 275, 2761, 28075, 204, 264, 15549, 13, 4455, 28075, 68, 924, 68, 546, 17, 717, 68, 546, 14, 204, 204, 264, 314, 3594, 275, 2761, 28075, 204, 264, 717, 68, 546, 19, 1530, 553, 374, 204, 204, 264, 407, 4285, 68, 4455, 2124, 204, 204, 461, 711, 13, 481, 68, 633, 68, 2206, 31, 394, 17, 711, 68, 553, 68, 546, 31, 2621, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15616, 311, 273, 1068, 510, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 633, 68, 2206, 322, 325, 330, 334, 424, 311, 2281, 311, 275, 711, 510, 19, 204, 268, 711, 68, 553, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 711, 510, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 711, 510, 2560, 204, 264, 397, 508, 711, 68, 553, 68, 546, 19, 4332, 1293, 204, 268, 980, 987, 499, 3044, 510, 508, 3113, 431, 204, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 761, 68, 553, 68, 546, 17, 379, 70, 534, 448, 711, 553, 31, 204, 305, 424, 68, 633, 68, 2206, 289, 283, 1954, 2664, 19, 2664, 19, 1520, 9447, 1164, 463, 481, 68, 633, 68, 2206, 2495, 204, 305, 711, 553, 19, 2206, 13, 481, 68, 633, 68, 2206, 14, 204, 305, 711, 553, 19, 2206, 7708, 83, 534, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 1361, 311, 510, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 968, 275, 3630, 204, 264, 1104, 68, 546, 289, 2621, 39915, 20, 22449, 20, 14087, 36093, 20, 22839, 23552, 20, 9315, 20, 72, 68, 7485, 19, 1479, 5561, 26390, 374, 204, 264, 12622, 68, 546, 289, 2621, 39915, 20, 22449, 20, 14087, 36093, 20, 22839, 23552, 20, 1715, 8263, 5561, 26390, 374, 204, 264, 2761, 28075, 68, 924, 68, 546, 289, 2621, 39915, 20, 36219, 20, 515, 23555, 19, 7129, 5561, 26390, 374, 204, 264, 406, 15598, 68, 3810, 68, 546, 289, 2621, 39915, 20, 22449, 20, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14087, 36093, 20, 22839, 23552, 20, 274, 15598, 5561, 26390, 374, 204, 264, 711, 68, 553, 68, 546, 289, 2621, 22335, 9315, 20, 8346, 68, 761, 19, 3039, 431, 204, 204, 264, 314, 43935, 275, 1104, 204, 264, 12622, 68, 2819, 13, 2819, 68, 546, 17, 12622, 68, 546, 14, 204, 204, 264, 314, 763, 275, 458, 302, 2761, 4936, 204, 264, 283, 16164, 68, 655, 289, 636, 68, 4455, 2124, 68, 655, 374, 204, 204, 264, 314, 11420, 273, 2761, 2124, 204, 264, 4285, 68, 4455, 2124, 289, 5710, 68, 4455, 2124, 13, 75, 16164, 68, 655, 14, 204, 204, 264, 314, 5360, 275, 2761, 28075, 204, 264, 2284, 68, 4455, 28075, 13, 9227, 68, 4455, 2124, 17, 2761, 28075, 68, 924, 68, 546, 17, 406, 15598, 68, 3810, 68, 546, 14, 204, 204, 264, 314, 2175, 275, 1643, 204, 264, 711, 499, 14428, 28075, 10094, 528, 711, 68, 553, 68, 546, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 19363, 31, 204, 264, 320, 204, 264, 2646, 437, 3091, 440, 273, 1012, 329, 1136, 700, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 31, 421, 289, 500, 17, 1136, 31, 421, 289, 500, 330, 204, 268, 320, 204, 268, 977, 437, 19363, 726, 19, 204, 204, 268, 457, 31, 204, 268, 1012, 322, 339, 330, 334, 1012, 302, 275, 3091, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 302, 275, 3091, 19, 204, 268, 320, 204, 268, 370, 19, 1530, 289, 1012, 204, 268, 370, 19, 409, 289, 1136, 204, 204, 264, 436, 589, 6843, 889, 327, 330, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 3091, 19, 204, 268, 320, 204, 268, 407, 283, 30762, 327, 19, 1530, 1522, 463, 327, 19, 409, 11129, 7, 204, 204, 204, 676, 5696, 31, 204, 264, 436, 6879, 68, 10825, 13, 327, 17, 7046, 31, 783, 64, 24363, 694, 393, 783, 64, 24363, 744, 204, 268, 320, 204, 268, 9761, 830, 19924, 7046, 19, 204, 204, 268, 457, 31, 204, 268, 7046, 322, 1218, 64, 24363, 1037, 332, 458, 302, 7046, 311, 6879, 19, 204, 204, 268, 475, 31, 204, 268, 783, 64, 24363, 744, 332, 458, 302, 6116, 7046, 19, 204, 268, 320, 204, 268, 314, 1426, 275, 1322, 1273, 275, 537, 458, 353, 1392, 204, 268, 397, 508, 7046, 31, 204, 305, 407, 1306, 204, 204, 268, 314, 4641, 275, 7046, 560, 1017, 1012, 690, 204, 268, 314, 1058, 353, 3870, 311, 4897, 496, 572, 618, 6879, 7046, 292, 273, 2875, 1879, 204, 268, 7046, 19, 2975, 13, 644, 34, 3605, 610, 31, 610, 19, 1530, 14, 204, 204, 268, 314, 977, 275, 722, 458, 440, 275, 1043, 3091, 204, 268, 6116, 68, 10825, 289, 551, 10825, 64, 21, 2629, 204, 204, 268, 314, 1861, 1048, 275, 4017, 7046, 204, 268, 348, 790, 68, 4841, 292, 7046, 64, 22, 15136, 204, 305, 314, 763, 275, 1673, 6116, 3091, 204, 305, 1673, 68, 13551, 68, 4841, 289, 6116, 68, 10825, 3327, 22, 66, 204, 204, 305, 314, 778, 397, 275, 790, 3091, 31470, 440, 275, 1673, 6116, 3091, 204, 305, 397, 790, 68, 4841, 19, 1530, 2186, 1673, 68, 13551, 68, 4841, 19, 409, 31, 204, 485, 314, 9761, 275, 790, 3091, 440, 275, 1673, 6116, 3091, 204, 485, 314, 1716, 275, 1136, 302, 275, 1673, 6116, 3091, 311, 444, 275, 1646, 302, 1163, 790, 1136, 329, 275, 1136, 302, 275, 790, 3091, 204, 485, 1673, 68, 13551, 68, 4841, 19, 409, 289, 846, 13, 2391, 68, 13551, 68, 4841, 19, 409, 17, 790, 68, 4841, 19, 409, 14, 204, 305, 902, 31, 204, 485, 314, 1255, 275, 790, 3091, 311, 275, 722, 458, 204, 485, 6116, 68, 10825, 19, 1223, 13, 1976, 68, 4841, 14, 204, 204, 268, 407, 6116, 68, 10825, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 1988, 289, 5696, 374, 204, 264, 7046, 289, 551, 24363, 13, 22, 17, 571, 659, 19363, 13, 23, 17, 887, 659, 19363, 13, 29, 17, 931, 659, 19363, 13, 1909, 17, 1916, 2395, 204, 264, 6116, 68, 10825, 289, 1988, 19, 9709, 68, 10825, 13, 10825, 14, 204, 264, 456, 499, 45821, 46059, 2212, 204, 264, 348, 3091, 292, 6116, 68, 10825, 31, 204, 268, 456, 13, 4841, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 13830, 532, 1395, 68, 13291, 204, 531, 1498, 532, 2334, 17, 5006, 17, 783, 204, 204, 461, 3120, 68, 18693, 68, 633, 68, 1529, 13, 1529, 31, 5006, 17, 11820, 31, 5006, 17, 930, 2251, 31, 2334, 14, 393, 5006, 31, 204, 264, 320, 204, 264, 3291, 273, 11820, 311, 273, 2875, 2013, 741, 19, 204, 204, 264, 457, 31, 204, 268, 2013, 322, 9261, 330, 334, 2013, 741, 311, 444, 13170, 19, 204, 268, 11820, 322, 9261, 330, 334, 11820, 311, 3120, 19, 204, 268, 930, 2251, 322, 5588, 330, 14839, 1906, 311, 1879, 311, 275, 11820, 19, 204, 204, 264, 475, 31, 204, 268, 5006, 31, 334, 13170, 2013, 741, 19, 204, 264, 320, 204, 264, 314, 3291, 275, 11820, 311, 275, 2013, 741, 329, 17195, 275, 2171, 2013, 677, 3688, 204, 264, 407, 1395, 68, 13291, 13, 18693, 13, 1529, 17, 930, 2251, 659, 2013, 14, 204, 204, 204, 461, 28498, 68, 805, 68, 4918, 13, 805, 68, 4918, 31, 783, 17, 11820, 31, 5006, 17, 930, 2251, 31, 2334, 14, 393, 783, 31, 204, 264, 320, 204, 264, 8276, 28498, 830, 5020, 292, 275, 800, 1274, 3758, 440, 275, 1713, 11820, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 68, 4918, 322, 1218, 330, 332, 458, 302, 1274, 3758, 311, 28498, 19, 204, 268, 11820, 322, 9261, 330, 334, 11820, 311, 3120, 311, 275, 5020, 19, 204, 268, 930, 2251, 322, 5588, 330, 14839, 1906, 311, 1879, 311, 275, 11820, 19, 204, 204, 264, 475, 31, 204, 268, 783, 31, 334, 13170, 1274, 3758, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1274, 2679, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 275, 458, 204, 264, 348, 1779, 68, 4745, 292, 1779, 68, 4918, 31, 204, 268, 314, 778, 397, 275, 1274, 2679, 869, 10756, 1274, 3758, 322, 78, 19, 74, 2458, 490, 677, 273, 27861, 3778, 44606, 14, 204, 268, 397, 11089, 13, 805, 68, 4745, 17, 388, 805, 68, 4918, 6471, 204, 305, 314, 8276, 28498, 275, 10756, 1274, 3758, 204, 305, 1779, 68, 4745, 19, 805, 68, 4918, 289, 28498, 68, 805, 68, 4918, 13, 805, 68, 4745, 19, 805, 68, 4918, 17, 11820, 17, 930, 2251, 14, 204, 204, 268, 314, 778, 397, 275, 1274, 2679, 869, 273, 5176, 741, 322, 78, 19, 74, 2458, 273, 2013, 14, 204, 268, 397, 10175, 13, 805, 68, 4745, 17, 388, 6197, 528, 443, 330, 204, 305, 314, 3291, 275, 11820, 311, 275, 2013, 741, 204, 305, 1779, 68, 4745, 19, 6197, 289, 3120, 68, 18693, 68, 633, 68, 1529, 13, 805, 68, 4745, 19, 6197, 17, 11820, 17, 930, 2251, 14, 204, 204, 264, 314, 455, 275, 13170, 1274, 3758, 204, 264, 407, 1779, 68, 4918, 204, 204, 204, 8, 1165, 1265, 31, 204, 461, 2745, 68, 18693, 13, 1529, 31, 5006, 17, 930, 2251, 31, 2334, 14, 393, 5006, 31, 204, 264, 320, 204, 264, 332, 3277, 11820, 496, 5538, 273, 943, 2518, 329, 1877, 14101, 275, 2013, 741, 19, 204, 264, 320, 204, 264, 436, 9073, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 2334, 31, 204, 268, 456, 499, 19243, 14101, 275, 2013, 741, 431, 204, 268, 722, 289, 2013, 4934, 1038, 17, 930, 2251, 14, 204, 268, 456, 499, 8395, 14101, 275, 2013, 741, 431, 204, 268, 407, 722, 204, 264, 407, 9073, 204, 204, 204, 8, 968, 1429, 1763, 1274, 3758, 204, 531, 1907, 19, 3968, 532, 832, 204, 531, 1907, 19, 3968, 19, 494, 349, 1387, 532, 27861, 3778, 44606, 204, 204, 461, 1763, 68, 1529, 13, 1443, 31, 2334, 14, 393, 394, 31, 204, 264, 407, 388, 5975, 17, 5179, 9851, 204, 204, 805, 68, 4918, 289, 551, 204, 264, 832, 499, 2569, 13669, 1763, 68, 1529, 659, 204, 264, 27861, 3778, 44606, 13, 87, 27521, 16464, 13669, 551, 204, 268, 832, 499, 16464, 18, 2569, 13669, 1763, 68, 1529, 659, 204, 264, 44744, 204, 66, 204, 204, 8, 4160, 276, 316, 275, 1274, 3758, 440, 275, 2745, 68, 18693, 204, 10255, 756, 68, 805, 68, 4918, 289, 28498, 68, 805, 68, 4918, 13, 805, 68, 4918, 17, 2745, 68, 18693, 14, 204, 204, 8, 1198, 275, 13170, 1274, 3758, 204, 2102, 13, 10255, 756, 68, 805, 68, 4918, 14, 204, 0, 6431, 275, 542, 302, 6723, 5537, 329, 11078, 1283, 338, 11215, 329, 17371, 19, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 1020, 275, 542, 302, 6723, 5537, 329, 6723, 11078, 2614, 275, 800, 933, 19, 204, 204, 5834, 17, 2249, 677, 2506, 275, 6723, 5537, 19, 1785, 2379, 496, 275, 2415, 1610, 302, 17371, 353, 5387, 10405, 19, 30, 4656, 19, 1058, 3210, 496, 1422, 529, 10405, 6723, 5537, 1283, 368, 329, 17371, 17, 3522, 10405, 67, 23, 289, 41934, 329, 5487, 67, 23, 289, 38542, 322, 9798, 353, 3114, 1194, 17371, 789, 204, 204, 12219, 17, 2249, 677, 2506, 275, 6723, 11078, 19, 1785, 2379, 496, 275, 6871, 1610, 302, 17371, 353, 5387, 1598, 19, 2562, 24, 19, 1058, 3210, 496, 1422, 529, 1598, 6723, 11078, 1283, 368, 329, 17371, 17, 3522, 1598, 67, 24, 289, 3139, 4023, 329, 2989, 67, 24, 289, 435, 36218, 322, 9798, 353, 3114, 1194, 17371, 789, 204, 204, 4063, 17, 2249, 677, 2506, 275, 933, 497, 338, 11215, 311, 338, 22, 19, 592, 808, 933, 17, 1422, 529, 1236, 6723, 5537, 17, 3522, 5537, 2950, 444, 2917, 19, 3355, 17, 1422, 529, 1598, 6723, 11078, 17, 3522, 3457, 1258, 2246, 24, 289, 338, 2314, 4023, 329, 3457, 2353, 2246, 24, 289, 338, 23, 36218, 322, 9798, 353, 2202, 1194, 338, 11215, 789, 204, 204, 18226, 17, 572, 1519, 311, 2506, 500, 17, 928, 353, 1855, 273, 6723, 2415, 329, 273, 6723, 6871, 19, 3355, 17, 572, 1698, 1040, 490, 5602, 19, 204, 204, 4356, 17, 275, 1113, 542, 302, 6723, 5537, 329, 11078, 1283, 338, 11215, 329, 17371, 353, 31, 204, 4832, 322, 23012, 5537, 497, 368, 311, 17371, 14, 465, 1598, 322, 23012, 11078, 497, 368, 311, 17371, 14, 465, 1598, 322, 23012, 11078, 497, 338, 11215, 311, 338, 22, 14, 465, 368, 322, 21, 17, 928, 353, 1855, 273, 6723, 2415, 329, 273, 6723, 6871, 14, 289, 17386, 204, 204, 4237, 17, 275, 1598, 6723, 11078, 497, 338, 11215, 311, 338, 22, 529, 275, 1729, 448, 275, 1598, 6723, 11078, 497, 368, 311, 17371, 17, 1101, 440, 273, 2917, 1574, 19, 4087, 572, 1856, 1698, 1040, 275, 1598, 6723, 11078, 497, 368, 311, 17371, 329, 275, 10405, 6723, 5537, 497, 368, 311, 17371, 329, 368, 348, 500, 19, 716, 204, 2551, 275, 2073, 353, 10405, 465, 1598, 465, 368, 289, 14811, 19, 0, 531, 16235, 19, 1234, 19, 761, 532, 636, 68, 3342, 204, 531, 16235, 19, 2182, 19, 2182, 68, 2127, 532, 31988, 6056, 204, 531, 16235, 19, 2182, 19, 3766, 19, 13790, 1517, 532, 32956, 1517, 44268, 3648, 204, 531, 1498, 532, 1061, 204, 204, 676, 32956, 1517, 44268, 6056, 31, 204, 264, 320, 204, 264, 332, 3175, 850, 7029, 348, 5539, 11503, 1517, 11315, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 2139, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2139, 510, 19, 204, 268, 7299, 68, 481, 68, 4075, 31, 334, 7299, 424, 4713, 726, 19, 204, 268, 1732, 68, 1087, 322, 1665, 330, 334, 1732, 1586, 955, 19, 204, 268, 2082, 31, 334, 2082, 1014, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2139, 68, 553, 68, 546, 31, 394, 17, 7299, 68, 481, 68, 4075, 17, 1732, 68, 1087, 31, 1061, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 32956, 1517, 44268, 6056, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 2139, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2139, 510, 19, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 7299, 68, 481, 68, 4075, 31, 334, 7299, 424, 4713, 726, 19, 204, 305, 1732, 68, 1087, 322, 1665, 330, 334, 1732, 1586, 955, 19, 204, 268, 320, 204, 268, 370, 19, 3112, 68, 553, 68, 546, 289, 2139, 68, 553, 68, 546, 204, 268, 370, 19, 16790, 68, 481, 68, 4075, 289, 7299, 68, 481, 68, 4075, 204, 268, 370, 19, 3766, 68, 1087, 289, 1732, 68, 1087, 204, 268, 370, 19, 3342, 289, 636, 68, 3342, 374, 204, 204, 264, 436, 906, 3664, 68, 3112, 68, 553, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3594, 275, 2139, 510, 292, 2510, 1151, 2291, 19, 204, 204, 268, 1632, 31, 204, 305, 3180, 31, 828, 275, 2139, 510, 1583, 508, 1337, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 1451, 275, 2139, 510, 292, 2510, 1151, 2291, 204, 268, 810, 31, 204, 305, 370, 19, 3112, 68, 553, 68, 4103, 289, 1451, 13, 327, 19, 3112, 68, 553, 68, 546, 17, 388, 6952, 431, 204, 268, 827, 3180, 31, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 8768, 510, 3318, 327, 19, 3112, 68, 553, 68, 546, 2867, 508, 1193, 1280, 204, 305, 980, 204, 204, 264, 436, 906, 1510, 68, 3766, 13, 327, 14, 393, 32956, 1517, 44268, 3648, 31, 204, 268, 320, 204, 268, 666, 273, 32956, 1517, 44268, 3648, 1014, 19, 204, 204, 268, 475, 31, 204, 305, 32956, 1517, 44268, 3648, 31, 334, 1966, 1732, 1014, 19, 204, 268, 320, 204, 268, 314, 968, 437, 2710, 5176, 741, 311, 2906, 2805, 204, 268, 436, 2710, 68, 6197, 13, 4108, 31, 1319, 14, 393, 443, 31, 204, 305, 320, 204, 305, 1426, 2805, 560, 1361, 275, 908, 329, 5465, 7299, 424, 5656, 8228, 19, 204, 204, 305, 457, 31, 204, 485, 2710, 322, 2940, 330, 334, 2710, 1014, 19, 204, 305, 320, 204, 305, 370, 19, 3342, 19, 4561, 13, 75, 7, 2940, 31, 463, 4108, 743, 204, 305, 370, 19, 16790, 68, 481, 68, 4075, 19, 574, 23399, 989, 13001, 25925, 374, 204, 204, 268, 314, 666, 273, 32956, 1517, 44268, 3648, 1014, 204, 268, 407, 32956, 1517, 44268, 3648, 13, 327, 19, 3766, 68, 1087, 17, 370, 19, 3112, 68, 553, 68, 4103, 17, 2710, 68, 6197, 14, 204, 204, 264, 436, 906, 1510, 68, 2127, 13, 327, 17, 1732, 31, 32956, 1517, 44268, 3648, 14, 393, 31988, 6056, 31, 204, 268, 320, 204, 268, 666, 273, 31988, 6056, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1732, 322, 44, 81, 1517, 44268, 3648, 330, 334, 1732, 1014, 19, 204, 204, 268, 475, 31, 204, 305, 31988, 6056, 31, 334, 1966, 3175, 1014, 19, 204, 268, 320, 204, 268, 314, 666, 273, 31988, 6056, 1014, 204, 268, 407, 31988, 6056, 13, 3766, 17, 370, 19, 16790, 68, 481, 68, 4075, 14, 204, 204, 264, 436, 1352, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3325, 273, 510, 560, 8429, 275, 510, 329, 12943, 34093, 273, 1732, 329, 3175, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 2139, 510, 204, 305, 370, 806, 3664, 68, 3112, 68, 553, 374, 204, 305, 314, 666, 273, 1732, 1014, 204, 305, 1732, 289, 370, 806, 1510, 68, 3766, 374, 204, 305, 314, 666, 273, 3175, 1014, 204, 305, 3175, 289, 370, 806, 1510, 68, 2127, 13, 3766, 14, 204, 305, 314, 3325, 275, 510, 4457, 204, 305, 3175, 19, 1616, 2597, 10062, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 1169, 2805, 496, 1336, 1882, 5539, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 5539, 510, 31, 463, 74, 743, 204, 268, 6666, 31, 204, 305, 314, 9251, 275, 2139, 510, 353, 7106, 204, 305, 397, 11089, 13, 327, 17, 379, 3112, 68, 553, 68, 4103, 4448, 204, 485, 370, 19, 3112, 68, 553, 68, 4103, 19, 3529, 374, 204, 204, 268, 314, 455, 275, 7299, 424, 4713, 204, 268, 407, 370, 19, 16790, 68, 481, 68, 4075, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 32956, 1517, 44268, 6056, 1014, 204, 264, 3175, 289, 32956, 1517, 44268, 6056, 499, 546, 20, 633, 20, 3112, 20, 553, 528, 7299, 68, 481, 68, 4075, 17, 2832, 1087, 559, 388, 876, 12483, 204, 264, 314, 3325, 275, 510, 204, 264, 3175, 19, 1616, 374, 204, 0, 647, 1127, 204, 647, 304, 204, 647, 3238, 204, 647, 9688, 204, 647, 11055, 204, 204, 461, 4028, 68, 2375, 13, 6422, 68, 1217, 31, 394, 17, 2984, 68, 1217, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10235, 1860, 497, 6934, 68, 1217, 311, 2984, 68, 1217, 19, 204, 204, 264, 457, 31, 204, 268, 6934, 68, 1217, 322, 325, 330, 334, 2139, 1445, 19, 204, 268, 2984, 68, 1217, 322, 325, 330, 334, 4297, 1445, 19, 204, 264, 320, 204, 264, 314, 3182, 275, 4297, 1445, 397, 490, 2560, 204, 264, 397, 1127, 19, 546, 19, 4332, 13, 4418, 68, 1217, 330, 204, 268, 9688, 19, 23304, 13, 4418, 68, 1217, 14, 204, 264, 314, 10235, 275, 2139, 1445, 311, 275, 4297, 1445, 204, 264, 9688, 19, 3462, 3150, 13, 6422, 68, 1217, 17, 2984, 68, 1217, 14, 204, 204, 461, 2434, 68, 3150, 13, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 5979, 1860, 292, 275, 800, 832, 348, 5287, 5539, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 2434, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 302, 1860, 311, 1356, 19, 204, 264, 320, 204, 264, 1860, 68, 633, 68, 2555, 289, 2087, 204, 264, 314, 23372, 1924, 275, 1445, 2192, 204, 264, 348, 7892, 546, 17, 7892, 2199, 17, 13067, 292, 1127, 19, 11105, 13, 546, 330, 204, 268, 348, 510, 292, 13067, 31, 204, 305, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 42987, 17, 510, 14, 204, 305, 1860, 68, 633, 68, 2555, 64, 553, 68, 546, 66, 289, 368, 204, 264, 407, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1860, 68, 633, 68, 2555, 204, 204, 461, 1395, 68, 9648, 68, 1087, 13, 553, 68, 546, 31, 394, 17, 717, 68, 2256, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 10044, 1586, 510, 440, 717, 2585, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 10044, 510, 19, 204, 268, 717, 68, 2256, 322, 325, 330, 334, 717, 2585, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 10044, 1586, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 268, 954, 289, 11055, 19, 986, 13, 75, 17, 40304, 34, 9648, 19, 3295, 4929, 14, 204, 264, 314, 1716, 275, 1586, 440, 275, 717, 2585, 204, 264, 954, 736, 8242, 68, 1270, 6970, 1957, 68, 2256, 66, 289, 2552, 2256, 597, 717, 68, 2256, 98, 204, 264, 314, 3025, 275, 2908, 1586, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 283, 31, 204, 268, 11055, 19, 4573, 13, 1087, 17, 283, 14, 204, 204, 461, 10259, 68, 607, 68, 1957, 68, 276, 68, 11602, 68, 266, 68, 91, 15377, 13, 553, 68, 546, 31, 394, 17, 3299, 68, 2256, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 22359, 685, 379, 1957, 292, 376, 31411, 12, 5085, 497, 275, 800, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 268, 3299, 68, 2256, 322, 325, 330, 334, 3299, 2585, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 510, 424, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 268, 510, 68, 481, 289, 283, 19, 976, 374, 204, 264, 314, 4546, 379, 1957, 292, 376, 31411, 12, 5085, 440, 437, 1392, 782, 204, 264, 510, 68, 481, 289, 304, 19, 1509, 13, 9235, 12, 6001, 292, 463, 929, 68, 2256, 7798, 8488, 510, 68, 481, 14, 204, 264, 314, 3400, 275, 2908, 510, 424, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 283, 31, 204, 268, 283, 19, 2206, 13, 553, 68, 481, 14, 204, 204, 461, 1395, 68, 935, 68, 11596, 13, 553, 68, 546, 31, 394, 17, 3299, 68, 2256, 31, 394, 17, 717, 68, 2256, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 752, 2585, 3630, 292, 275, 800, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 268, 3299, 68, 2256, 322, 325, 330, 334, 3299, 2585, 19, 204, 268, 717, 68, 2256, 322, 325, 330, 334, 717, 2585, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 510, 424, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 268, 510, 68, 481, 289, 283, 19, 976, 374, 204, 264, 314, 4546, 3299, 752, 2585, 3630, 440, 717, 2585, 3630, 204, 264, 510, 68, 481, 289, 304, 19, 1509, 13, 9235, 12, 3371, 6934, 1022, 10702, 688, 12, 2936, 4235, 929, 68, 2256, 2277, 45723, 26530, 12, 3371, 6934, 1022, 10702, 688, 12, 2936, 4235, 1957, 68, 2256, 2277, 45723, 510, 68, 481, 14, 204, 264, 314, 3400, 275, 2908, 510, 424, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 283, 31, 204, 268, 283, 19, 2206, 13, 553, 68, 481, 14, 204, 204, 461, 48640, 68, 1538, 68, 929, 68, 2256, 1282, 68, 42235, 13, 553, 68, 546, 31, 394, 17, 3299, 68, 2256, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 501, 7331, 348, 3299, 2585, 13165, 292, 275, 800, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 268, 3299, 68, 2256, 322, 325, 330, 334, 3299, 2585, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 510, 1007, 560, 1007, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 268, 348, 1007, 68, 920, 17, 1007, 292, 3209, 13, 75, 17, 1012, 34, 22, 330, 204, 305, 397, 3299, 68, 2256, 292, 1007, 31, 204, 485, 456, 13, 75, 4705, 553, 68, 546, 10829, 1054, 68, 920, 3501, 204, 485, 456, 13, 1054, 14, 204, 204, 461, 1352, 68, 2375, 13, 2375, 68, 633, 68, 2555, 31, 1135, 17, 3299, 68, 2256, 31, 394, 17, 717, 68, 2256, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 1860, 560, 40970, 685, 379, 1957, 292, 376, 31411, 12, 5085, 17, 9683, 752, 10537, 17, 329, 1487, 2172, 348, 3299, 2585, 13165, 19, 204, 204, 264, 457, 31, 204, 268, 1860, 68, 633, 68, 2555, 322, 873, 330, 332, 955, 302, 1860, 311, 1356, 19, 204, 268, 3299, 68, 2256, 322, 325, 330, 334, 3299, 2585, 19, 204, 268, 717, 68, 2256, 322, 325, 330, 334, 717, 2585, 19, 204, 264, 320, 204, 264, 314, 3325, 848, 510, 204, 264, 348, 510, 68, 546, 292, 1860, 68, 633, 68, 2555, 31, 204, 268, 10259, 68, 607, 68, 1957, 68, 276, 68, 11602, 68, 266, 68, 91, 15377, 13, 553, 68, 546, 17, 3299, 68, 2256, 14, 204, 268, 1395, 68, 935, 68, 11596, 13, 553, 68, 546, 17, 3299, 68, 2256, 17, 717, 68, 2256, 14, 204, 268, 48640, 68, 1538, 68, 929, 68, 2256, 1282, 68, 42235, 13, 553, 68, 546, 17, 3299, 68, 2256, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 27045, 4245, 348, 273, 717, 4376, 2585, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 6667, 27045, 4245, 348, 273, 717, 4376, 2585, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 75, 491, 6262, 531, 18, 2256, 491, 1945, 34, 1021, 17, 1340, 833, 9983, 2585, 302, 1212, 390, 295, 714, 3349, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 89, 491, 6262, 633, 18, 2256, 491, 1945, 34, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1021, 17, 1340, 833, 2715, 2585, 302, 1212, 390, 295, 714, 3349, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 73, 491, 6262, 11224, 18, 2100, 491, 1540, 34, 865, 19, 4969, 19, 505, 611, 2328, 5769, 2267, 41023, 68, 4701, 8451, 68, 44310, 2008, 1340, 833, 2100, 1273, 872, 1640, 688, 12, 37271, 295, 714, 1479, 20, 11224, 18825, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 3299, 68, 2256, 289, 2042, 19, 531, 68, 2256, 204, 264, 717, 68, 2256, 289, 2042, 19, 633, 68, 2256, 204, 264, 27045, 68, 2100, 289, 2042, 19, 11224, 68, 2100, 204, 204, 264, 314, 10235, 1860, 204, 264, 4028, 68, 2375, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 379, 11224, 491, 3299, 68, 2256, 659, 1127, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 379, 11224, 491, 717, 68, 2256, 602, 204, 264, 4028, 68, 2375, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 10151, 39295, 491, 3299, 68, 2256, 659, 1127, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 10151, 39295, 491, 717, 68, 2256, 602, 204, 264, 4028, 68, 2375, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 379, 2936, 491, 3299, 68, 2256, 659, 1127, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 379, 2936, 491, 717, 68, 2256, 602, 204, 204, 264, 314, 1716, 10044, 1586, 1860, 204, 264, 1395, 68, 9648, 68, 1087, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 10151, 1087, 68, 772, 19, 20755, 2008, 717, 68, 2256, 14, 204, 264, 1395, 68, 9648, 68, 1087, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 10151, 1087, 68, 37271, 295, 714, 1479, 19, 20755, 2008, 717, 68, 2256, 14, 204, 204, 264, 314, 3325, 1860, 204, 264, 1860, 68, 633, 68, 2555, 289, 2434, 68, 3150, 13, 865, 19, 546, 19, 1541, 13, 11224, 68, 2100, 17, 379, 11224, 491, 717, 68, 2256, 602, 204, 264, 1352, 68, 2375, 13, 2375, 68, 633, 68, 2555, 17, 3299, 68, 2256, 17, 717, 68, 2256, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 618, 68, 714, 4674, 68, 2170, 68, 19949, 13, 204, 264, 1029, 68, 19949, 31, 421, 17, 716, 264, 1419, 68, 876, 31, 421, 17, 716, 264, 6342, 31, 421, 17, 716, 264, 7750, 31, 421, 204, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 1029, 6576, 618, 444, 12156, 560, 20816, 5209, 437, 6342, 716, 264, 311, 275, 1419, 700, 329, 6432, 275, 6576, 10814, 7750, 19, 204, 204, 264, 457, 31, 204, 268, 1029, 68, 19949, 322, 339, 330, 334, 1029, 6576, 311, 7940, 19, 204, 268, 1419, 68, 876, 322, 339, 330, 334, 1419, 700, 19, 204, 268, 6342, 322, 339, 330, 334, 6342, 311, 881, 311, 275, 1419, 700, 19, 204, 268, 7750, 322, 339, 330, 334, 7750, 311, 3074, 275, 6576, 440, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1029, 6576, 618, 444, 12156, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 666, 273, 758, 311, 1640, 5298, 25230, 348, 6184, 24312, 204, 264, 5298, 68, 272, 22103, 289, 758, 374, 204, 615, 264, 314, 977, 275, 790, 700, 204, 264, 790, 68, 876, 289, 1419, 68, 876, 204, 615, 264, 314, 11333, 3119, 572, 9314, 5298, 830, 2237, 25230, 521, 1193, 275, 1029, 6576, 204, 264, 1335, 790, 68, 876, 1564, 7750, 508, 292, 5298, 68, 272, 22103, 31, 204, 268, 314, 1255, 275, 790, 6576, 311, 275, 758, 302, 5298, 25230, 204, 268, 5298, 68, 272, 22103, 19, 826, 13, 1976, 68, 876, 1564, 7750, 14, 204, 822, 268, 314, 778, 397, 275, 790, 6576, 353, 275, 1029, 6576, 204, 268, 397, 790, 68, 876, 1564, 7750, 564, 1029, 68, 19949, 31, 204, 305, 407, 959, 204, 822, 268, 314, 7415, 275, 790, 700, 204, 268, 790, 68, 876, 1412, 6342, 204, 615, 264, 314, 828, 572, 9314, 5298, 830, 2237, 25230, 329, 21653, 2964, 1193, 275, 1029, 6576, 17, 407, 1078, 204, 264, 407, 1078, 204, 204, 204, 461, 636, 68, 768, 68, 1309, 374, 393, 927, 64, 339, 17, 421, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 537, 1019, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 17, 421, 744, 332, 927, 1174, 275, 6342, 17, 7750, 17, 329, 1029, 6576, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 537, 1019, 204, 268, 6342, 17, 7750, 17, 1029, 68, 19949, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 268, 407, 6342, 17, 7750, 17, 1029, 68, 19949, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 268, 407, 443, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 537, 1019, 204, 264, 537, 68, 1309, 289, 636, 68, 768, 68, 1309, 374, 204, 615, 264, 397, 537, 68, 1309, 353, 508, 443, 31, 204, 268, 6342, 17, 7750, 17, 1029, 68, 19949, 289, 537, 68, 1309, 204, 268, 1419, 68, 876, 289, 6342, 204, 822, 268, 314, 778, 397, 275, 1029, 6576, 618, 444, 12156, 204, 268, 397, 618, 68, 714, 4674, 68, 2170, 68, 19949, 13, 2170, 68, 19949, 17, 1419, 68, 876, 17, 6342, 17, 7750, 330, 204, 305, 456, 611, 21240, 534, 204, 268, 902, 31, 204, 305, 456, 611, 5830, 534, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 36502, 17141, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1020, 9499, 1842, 292, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 204, 264, 436, 1020, 68, 14894, 13, 327, 17, 886, 31, 783, 64, 339, 694, 393, 783, 64, 339, 744, 204, 268, 320, 204, 268, 6746, 830, 9499, 1842, 292, 275, 800, 458, 302, 1892, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 204, 204, 268, 334, 537, 458, 353, 1812, 311, 918, 1892, 1283, 368, 329, 275, 1277, 302, 275, 458, 19, 204, 268, 334, 741, 5018, 275, 537, 458, 448, 4372, 2817, 311, 2434, 4371, 1842, 19, 204, 204, 268, 457, 31, 204, 305, 886, 31, 332, 458, 302, 1892, 1273, 848, 1534, 353, 1283, 368, 329, 275, 1277, 302, 275, 458, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 1892, 496, 6743, 1182, 1194, 5602, 292, 275, 537, 458, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 458, 353, 1392, 521, 3192, 1892, 7066, 275, 1097, 933, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 458, 353, 1392, 204, 268, 397, 508, 886, 31, 204, 305, 980, 987, 499, 3383, 458, 353, 1392, 431, 204, 204, 268, 314, 778, 397, 830, 886, 529, 2614, 275, 1097, 933, 204, 268, 397, 508, 830, 13, 22, 2186, 771, 2186, 1245, 13, 1630, 14, 348, 771, 292, 886, 330, 204, 305, 980, 987, 499, 3383, 458, 3192, 1892, 7066, 275, 1097, 933, 431, 204, 204, 268, 314, 977, 437, 1392, 458, 311, 1640, 9499, 886, 204, 268, 9991, 289, 1306, 204, 204, 268, 314, 1861, 1048, 848, 542, 292, 275, 537, 458, 204, 268, 348, 771, 292, 886, 31, 204, 305, 314, 888, 275, 1112, 311, 2434, 448, 4371, 204, 305, 1112, 289, 7041, 13, 920, 14, 338, 368, 204, 204, 305, 314, 778, 397, 275, 542, 630, 275, 3392, 1112, 353, 2861, 12208, 448, 4371, 322, 78, 19, 74, 2458, 2917, 14, 204, 305, 397, 886, 64, 998, 66, 962, 500, 31, 204, 485, 314, 828, 275, 542, 353, 2861, 12208, 17, 490, 677, 273, 9499, 17, 754, 881, 490, 311, 275, 9991, 458, 204, 485, 9991, 19, 1223, 13, 4977, 13, 920, 602, 204, 305, 902, 31, 204, 485, 314, 828, 275, 542, 353, 508, 12208, 17, 2434, 490, 448, 4371, 560, 4461, 490, 2917, 204, 485, 886, 64, 998, 66, 10744, 338, 22, 204, 204, 268, 407, 9991, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 1165, 1265, 204, 264, 683, 68, 1630, 289, 551, 25, 17, 571, 17, 435, 17, 1168, 17, 1132, 17, 435, 17, 571, 17, 368, 66, 204, 264, 9499, 68, 17846, 289, 36502, 17141, 374, 204, 264, 456, 13, 17433, 68, 17846, 19, 2269, 68, 14894, 13, 804, 68, 1630, 602, 204, 0, 658, 1687, 368, 31, 888, 275, 1759, 1283, 275, 970, 22695, 204, 1449, 1020, 275, 1759, 1283, 275, 970, 22695, 17, 572, 1519, 311, 949, 275, 1277, 302, 275, 13682, 302, 275, 3302, 7196, 560, 275, 22695, 19, 334, 1759, 1283, 275, 22695, 353, 800, 560, 275, 2089, 31, 686, 87, 289, 688, 2514, 11417, 93, 68, 23, 338, 610, 68, 22, 2246, 23, 465, 322, 94, 68, 23, 338, 469, 68, 22, 2246, 23, 4742, 592, 808, 1322, 17, 686, 93, 68, 22, 289, 500, 2543, 686, 94, 68, 22, 289, 720, 2543, 686, 93, 68, 23, 289, 681, 2543, 329, 686, 94, 68, 23, 289, 500, 2176, 32771, 1605, 1019, 1025, 275, 2089, 17, 572, 636, 686, 87, 289, 688, 2514, 11417, 25, 338, 500, 2246, 23, 465, 322, 21, 338, 720, 2246, 23, 98, 289, 688, 2514, 96, 1845, 465, 2019, 98, 289, 688, 2514, 96, 7879, 4742, 204, 204, 658, 1687, 435, 31, 888, 275, 9364, 2955, 841, 2350, 1277, 204, 673, 9364, 2955, 841, 2350, 1277, 1283, 970, 5966, 22695, 353, 800, 560, 275, 2089, 31, 686, 43, 20, 49, 289, 688, 1209, 3164, 7311, 68, 21, 382, 68, 22, 382, 68, 23, 1134, 23, 688, 1460, 468, 4742, 1785, 529, 800, 496, 686, 46, 68, 22, 289, 720, 9, 332, 329, 686, 46, 68, 23, 289, 1132, 9, 332, 19, 334, 40233, 302, 4476, 2817, 17, 1743, 7311, 68, 21, 2543, 353, 686, 25, 688, 1460, 688, 2760, 931, 5373, 28, 1617, 313, 309, 20, 38, 19, 32771, 1605, 1019, 1025, 275, 2089, 17, 572, 636, 686, 43, 20, 49, 289, 688, 1209, 11417, 25, 688, 1460, 688, 2760, 931, 5373, 28, 1937, 322, 26, 14, 322, 29, 9844, 23, 688, 1460, 688, 2514, 96, 7879, 3734, 289, 688, 1209, 96, 22, 19, 27, 688, 2760, 931, 5373, 26, 16443, 2514, 96, 7879, 20644, 204, 204, 658, 1687, 571, 31, 8730, 275, 2231, 348, 275, 9364, 2955, 841, 2350, 1277, 204, 1449, 5620, 275, 2231, 17, 572, 618, 8793, 504, 275, 5081, 560, 9137, 275, 7145, 329, 5081, 560, 1743, 2514, 96, 7879, 4742, 1058, 4658, 451, 686, 43, 20, 49, 289, 688, 1209, 96, 22, 19, 27, 688, 2760, 931, 5373, 26, 98, 688, 2514, 96, 7879, 7015, 7879, 4742, 204, 204, 658, 1687, 681, 31, 888, 275, 8247, 700, 302, 275, 9364, 2955, 841, 2350, 1277, 204, 25005, 275, 2231, 17, 572, 636, 686, 43, 20, 49, 289, 688, 1209, 96, 22, 19, 27, 688, 2760, 931, 5373, 26, 98, 688, 2514, 96, 7879, 7015, 7879, 98, 688, 9171, 688, 1209, 96, 22, 19, 27, 688, 2760, 931, 5373, 26, 98, 688, 2760, 887, 19, 25, 1134, 7879, 98, 688, 9171, 688, 1209, 96, 22, 19, 41116, 688, 2760, 931, 5373, 25, 7015, 7879, 98, 688, 9171, 435, 19, 26, 688, 2760, 931, 5373, 27, 1617, 392, 20, 82, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 23, 19, 26, 688, 2760, 931, 5373, 27, 10512, 0, 647, 1875, 204, 647, 1127, 204, 647, 2164, 204, 531, 8632, 532, 8204, 204, 531, 1498, 532, 1061, 17, 2334, 204, 204, 8, 968, 3454, 204, 8589, 68, 3778, 289, 388, 1942, 1963, 73, 2018, 79, 76, 19, 1003, 22414, 19, 1453, 20, 2005, 7, 204, 204, 37, 6611, 204, 676, 14131, 31, 204, 264, 320, 989, 850, 311, 1173, 273, 683, 1322, 1279, 204, 264, 1216, 31, 394, 204, 264, 2442, 31, 394, 204, 264, 3737, 31, 1061, 64, 325, 17, 2334, 66, 204, 264, 3496, 31, 1061, 64, 325, 17, 2334, 66, 204, 264, 7523, 68, 932, 31, 394, 204, 264, 1356, 68, 1993, 31, 394, 204, 264, 4510, 68, 417, 31, 394, 204, 264, 1237, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 920, 31, 421, 204, 204, 461, 2566, 68, 1443, 13, 2488, 31, 2164, 19, 5191, 17, 683, 68, 2059, 31, 14131, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 2878, 437, 3426, 824, 1609, 523, 275, 683, 1322, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2067, 322, 8239, 19, 5191, 330, 334, 2067, 311, 732, 348, 275, 824, 19, 204, 264, 338, 683, 68, 2059, 322, 5418, 330, 334, 683, 1322, 311, 4490, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1061, 64, 325, 17, 2334, 744, 334, 722, 302, 275, 824, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 8254, 275, 824, 204, 268, 1779, 289, 21622, 68, 3778, 465, 683, 68, 2059, 19, 2463, 204, 268, 958, 289, 2067, 19, 1443, 13, 204, 305, 1216, 34, 804, 68, 2059, 19, 1939, 17, 204, 305, 1779, 34, 805, 17, 204, 305, 3737, 34, 804, 68, 2059, 19, 2645, 17, 204, 305, 3496, 34, 804, 68, 2059, 19, 5093, 17, 204, 305, 424, 34, 1775, 19, 7362, 13, 804, 68, 2059, 19, 2645, 14, 397, 683, 68, 2059, 19, 20849, 68, 932, 564, 388, 1775, 7, 902, 683, 68, 2059, 19, 2645, 17, 204, 305, 6767, 34, 1975, 204, 268, 1179, 204, 268, 314, 2735, 275, 958, 204, 268, 407, 2252, 68, 1935, 13, 1935, 17, 683, 68, 2059, 14, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 407, 2832, 718, 559, 394, 13, 74, 4150, 204, 204, 461, 2252, 68, 1935, 13, 1935, 31, 2164, 19, 2628, 17, 683, 68, 2059, 31, 14131, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 2735, 275, 958, 329, 1967, 6826, 1483, 19, 204, 204, 264, 457, 31, 204, 264, 338, 958, 322, 8239, 19, 2628, 330, 334, 958, 311, 2252, 19, 204, 264, 338, 683, 68, 2059, 322, 5418, 330, 334, 683, 1322, 496, 867, 11529, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1061, 64, 325, 17, 2334, 744, 334, 3634, 958, 19, 204, 264, 320, 204, 264, 722, 289, 463, 204, 268, 388, 9259, 68, 417, 559, 683, 68, 2059, 19, 9259, 68, 417, 17, 204, 268, 388, 937, 68, 920, 559, 683, 68, 2059, 19, 937, 68, 920, 17, 204, 268, 388, 1835, 68, 1181, 559, 958, 19, 1835, 68, 1181, 17, 204, 268, 388, 1935, 559, 958, 19, 2387, 19, 5286, 499, 3102, 18, 29, 3186, 204, 268, 388, 2760, 559, 958, 19, 19268, 19, 2609, 68, 6821, 374, 204, 264, 1211, 204, 264, 397, 722, 1166, 1835, 68, 1181, 1339, 2167, 2031, 31, 204, 268, 722, 1166, 718, 1339, 289, 722, 1166, 1935, 1339, 204, 264, 902, 31, 204, 268, 722, 1166, 718, 1339, 289, 3026, 204, 264, 722, 1166, 5000, 1339, 289, 3026, 204, 264, 397, 683, 68, 2059, 19, 2555, 68, 1993, 292, 722, 1166, 1935, 8682, 204, 268, 722, 1166, 1300, 1339, 289, 388, 5906, 7, 204, 264, 902, 31, 204, 268, 722, 1166, 1300, 1339, 289, 388, 7639, 7, 204, 264, 407, 722, 204, 204, 461, 2281, 68, 1300, 13, 1300, 31, 1061, 64, 325, 17, 2334, 648, 2049, 31, 394, 289, 388, 1300, 19, 14140, 431, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 275, 722, 311, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 264, 338, 722, 322, 1665, 64, 325, 17, 2334, 1037, 334, 722, 311, 2281, 19, 204, 264, 338, 2049, 322, 325, 330, 334, 2049, 311, 2281, 311, 19, 1243, 311, 388, 1300, 19, 14140, 2948, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4390, 275, 3600, 6500, 204, 268, 497, 23745, 532, 1137, 68, 14941, 204, 268, 314, 1385, 275, 9752, 204, 268, 27893, 289, 1137, 68, 14941, 13, 2029, 14, 204, 268, 314, 763, 275, 4884, 6087, 204, 268, 6087, 289, 27893, 19, 4187, 204, 268, 314, 3400, 275, 722, 204, 268, 6087, 19, 4039, 13, 937, 34, 1300, 1166, 937, 68, 920, 2869, 1837, 34, 1258, 789, 876, 289, 722, 1166, 1935, 1339, 204, 268, 6087, 19, 4039, 13, 937, 34, 1300, 1166, 937, 68, 920, 2869, 1837, 34, 2300, 789, 876, 289, 722, 1166, 1300, 1339, 204, 268, 314, 3025, 275, 9752, 204, 268, 27893, 19, 2360, 13, 2029, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4695, 311, 6057, 31, 463, 74, 743, 204, 204, 461, 1137, 68, 804, 68, 3871, 13, 2029, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 683, 2910, 497, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2049, 322, 325, 330, 334, 2049, 311, 1137, 497, 19, 204, 204, 264, 475, 31, 204, 264, 338, 458, 31, 332, 458, 302, 683, 2910, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4390, 275, 3600, 6500, 204, 268, 532, 3805, 448, 1246, 204, 268, 314, 1385, 275, 6057, 510, 204, 268, 2349, 289, 1246, 19, 976, 68, 9671, 13, 2029, 14, 204, 268, 314, 666, 273, 458, 302, 683, 2910, 204, 268, 683, 68, 3871, 289, 1306, 204, 268, 348, 1112, 17, 1237, 292, 2349, 19, 22091, 1293, 204, 305, 683, 68, 2059, 289, 14131, 13, 204, 485, 1216, 34, 937, 1166, 10672, 2869, 204, 485, 2442, 34, 937, 1166, 2463, 2869, 204, 485, 3737, 34, 6844, 13, 937, 1166, 15275, 3808, 397, 1237, 1166, 15275, 1339, 902, 14170, 204, 485, 3496, 34, 6844, 13, 937, 1166, 5093, 3808, 397, 1237, 1166, 5093, 1339, 902, 14170, 204, 485, 7523, 68, 932, 34, 937, 1166, 1480, 1080, 68, 2191, 2869, 204, 485, 1356, 68, 1993, 34, 937, 1166, 5995, 68, 1993, 2869, 204, 485, 4510, 68, 417, 34, 937, 1166, 31819, 20326, 2869, 204, 485, 1237, 68, 920, 34, 998, 465, 368, 204, 305, 1179, 204, 305, 683, 68, 3871, 19, 1223, 13, 804, 68, 2059, 14, 204, 268, 407, 683, 68, 3871, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4644, 683, 2910, 31, 463, 74, 743, 204, 268, 407, 1306, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 314, 1385, 683, 2910, 204, 264, 683, 68, 2059, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 14702, 10206, 379, 481, 491, 379, 5418, 19, 12213, 534, 204, 264, 683, 68, 3871, 289, 1137, 68, 804, 68, 3871, 13, 804, 68, 2059, 68, 546, 14, 204, 264, 314, 666, 273, 2067, 204, 264, 2067, 289, 2164, 19, 5191, 374, 204, 264, 314, 5635, 683, 2910, 204, 264, 348, 683, 68, 2059, 292, 683, 68, 3871, 31, 204, 268, 722, 289, 2566, 68, 1443, 13, 2488, 17, 683, 68, 2059, 14, 204, 268, 314, 3400, 275, 722, 204, 268, 2281, 68, 1300, 13, 1300, 17, 2049, 34, 804, 68, 2059, 68, 546, 14, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 34880, 13373, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 437, 13390, 7058, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 2357, 302, 275, 570, 204, 264, 13390, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 3243, 68, 672, 31, 1094, 19, 12860, 13, 8179, 34, 1975, 14, 226, 314, 39614, 17, 808, 1242, 1583, 508, 2512, 3749, 1019, 204, 264, 1113, 68, 3949, 31, 818, 289, 1094, 19, 14192, 13, 1129, 68, 5931, 34, 1003, 17, 4048, 68, 10474, 34, 23, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 13390, 7058, 19, 204, 268, 320, 204, 268, 407, 283, 7, 38226, 463, 327, 19, 19121, 68, 1190, 98, 338, 463, 327, 19, 6157, 68, 672, 2495, 204, 204, 8, 6447, 20, 11754, 68, 3474, 19, 948, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 14501, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 807, 1104, 5420, 311, 838, 275, 379, 38226, 13373, 12, 570, 19, 204, 264, 320, 204, 204, 264, 1419, 289, 959, 204, 204, 264, 6127, 289, 551, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 666, 275, 379, 38226, 13373, 12, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 38226, 13373, 491, 204, 305, 2357, 3603, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 7567, 204, 485, 2448, 19121, 68, 1190, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 3917, 204, 485, 2448, 6157, 68, 672, 491, 1094, 19, 12860, 10206, 204, 485, 2448, 2609, 68, 3949, 491, 1094, 19, 14192, 13, 7674, 68, 10474, 34, 23, 17, 846, 68, 5931, 34, 1003, 3917, 204, 305, 7241, 204, 268, 5334, 204, 264, 2437, 204, 204, 8, 6447, 20, 25429, 68, 22540, 68, 19121, 7682, 68, 6157, 68, 672, 19, 948, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 14501, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 5496, 5420, 311, 1395, 275, 379, 38226, 13373, 12, 570, 19, 204, 264, 320, 204, 204, 264, 6127, 289, 551, 204, 268, 314, 21618, 523, 275, 3090, 5420, 204, 268, 2448, 7941, 68, 748, 68, 417, 491, 379, 11754, 68, 3474, 2008, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 20066, 275, 379, 6157, 68, 672, 12, 1242, 311, 2512, 3749, 1019, 204, 268, 6447, 19, 20636, 13, 204, 305, 570, 68, 417, 833, 19121, 7682, 491, 204, 305, 588, 833, 6157, 68, 672, 491, 204, 305, 1242, 34, 1618, 19, 12860, 13, 8179, 34, 1021, 659, 204, 268, 5334, 204, 264, 2437, 204, 0, 8, 4390, 3600, 6500, 497, 5959, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 11663, 30780, 17, 43550, 9500, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 19, 11348, 532, 24368, 68, 14539, 448, 906, 204, 204, 8, 968, 273, 2363, 575, 570, 440, 273, 2363, 782, 2355, 204, 676, 16949, 13, 13096, 30780, 17, 43550, 9500, 330, 204, 264, 320, 204, 264, 5336, 2221, 570, 440, 273, 2363, 782, 2355, 19, 204, 204, 264, 1532, 31, 204, 268, 2143, 322, 325, 330, 6581, 2143, 7540, 560, 275, 575, 19, 204, 268, 1692, 322, 325, 330, 8657, 1995, 302, 275, 575, 19, 204, 268, 353, 68, 4187, 322, 2107, 330, 2266, 275, 575, 1747, 353, 4884, 19, 204, 268, 353, 68, 14045, 322, 2107, 330, 2266, 275, 575, 353, 273, 8740, 4985, 19, 204, 268, 1489, 68, 24399, 322, 2664, 330, 7300, 329, 690, 1330, 275, 575, 12174, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 2357, 348, 275, 2363, 575, 570, 204, 264, 2143, 289, 1094, 19, 2580, 13, 204, 268, 846, 68, 1205, 34, 4808, 17, 716, 268, 2220, 34, 1021, 17, 716, 268, 2874, 68, 417, 15265, 16251, 2008, 716, 268, 1340, 68, 492, 15265, 20771, 2143, 7540, 560, 275, 575, 5901, 204, 264, 1179, 204, 264, 1692, 289, 1094, 19, 15478, 13, 204, 268, 846, 68, 1205, 34, 4808, 17, 716, 268, 2220, 34, 1021, 17, 716, 268, 2874, 68, 417, 15265, 8044, 11385, 2008, 716, 268, 1340, 68, 492, 15265, 8044, 1995, 302, 275, 575, 5901, 204, 264, 1179, 204, 264, 353, 68, 4187, 289, 1094, 19, 10030, 13, 204, 268, 1540, 34, 1021, 17, 716, 268, 2874, 68, 417, 15265, 25171, 2008, 716, 268, 1340, 68, 492, 15265, 22282, 275, 575, 1747, 353, 4884, 5901, 204, 264, 1179, 204, 264, 353, 68, 14045, 289, 1094, 19, 10030, 13, 204, 268, 1540, 34, 1975, 17, 716, 268, 2874, 68, 417, 15265, 40467, 10352, 2008, 716, 268, 1340, 68, 492, 15265, 22282, 275, 575, 353, 273, 8740, 4985, 5901, 204, 264, 1179, 204, 264, 1489, 68, 24399, 289, 1094, 19, 6602, 13, 204, 268, 6545, 68, 1520, 68, 826, 34, 1021, 17, 716, 268, 2874, 68, 417, 15265, 3713, 9828, 336, 2008, 716, 268, 1340, 68, 492, 15265, 3713, 329, 690, 1330, 275, 575, 12174, 5901, 204, 264, 1179, 204, 204, 264, 314, 968, 275, 782, 2355, 302, 275, 575, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 575, 17, 4016, 336, 440, 26187, 2625, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 2143, 353, 508, 758, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2143, 353, 758, 204, 268, 397, 508, 370, 19, 2574, 31, 204, 305, 980, 987, 29700, 16251, 353, 508, 758, 3687, 204, 268, 314, 455, 275, 782, 2355, 302, 275, 575, 204, 268, 407, 283, 12, 26303, 327, 19, 2574, 2867, 204, 204, 264, 314, 968, 275, 2143, 1242, 448, 275, 39331, 68, 18194, 204, 264, 39331, 68, 18194, 289, 379, 2574, 12, 204, 264, 314, 968, 275, 1945, 2357, 348, 4141, 273, 575, 204, 264, 43700, 68, 24907, 289, 2470, 2302, 839, 204, 204, 8, 1165, 1265, 31, 204, 8, 666, 273, 717, 575, 204, 8, 575, 289, 16949, 19, 2856, 19, 1510, 68, 816, 13, 2574, 833, 12514, 68, 20336, 491, 1692, 833, 12514, 37, 2569, 19, 1453, 534, 204, 8, 1198, 275, 782, 2355, 302, 275, 575, 204, 8, 456, 13, 816, 14, 226, 314, 3215, 31, 1642, 12514, 68, 20336, 204, 0, 647, 2044, 23, 204, 647, 1127, 204, 531, 8738, 532, 13591, 204, 531, 690, 532, 5590, 204, 531, 1498, 532, 1884, 204, 204, 676, 12206, 13001, 31, 204, 264, 320, 204, 264, 5297, 496, 20816, 8290, 6710, 497, 273, 2752, 4457, 440, 273, 18042, 3532, 19, 204, 204, 264, 1532, 31, 204, 264, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 264, 906, 4509, 322, 4869, 23, 19, 15200, 330, 334, 12206, 13001, 726, 19, 204, 264, 27487, 2814, 322, 2107, 330, 332, 8051, 5850, 3855, 273, 2023, 867, 27487, 2814, 19, 204, 264, 2023, 322, 4869, 23, 19, 766, 330, 334, 7663, 2023, 19, 204, 264, 906, 34434, 322, 2107, 330, 332, 8051, 5850, 3855, 275, 2752, 5656, 3532, 1856, 3506, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2139, 31, 394, 330, 204, 268, 320, 204, 268, 977, 275, 12206, 13001, 726, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 1632, 31, 204, 268, 987, 31, 828, 275, 2139, 353, 508, 6300, 19, 204, 268, 320, 204, 268, 370, 19, 3112, 289, 2139, 204, 268, 370, 806, 4509, 289, 370, 806, 1510, 68, 4509, 13, 3112, 14, 204, 268, 370, 19, 37840, 2814, 17, 370, 19, 1669, 289, 370, 806, 4509, 19, 976, 374, 204, 268, 370, 806, 34434, 289, 1078, 204, 204, 264, 436, 906, 1510, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 1609, 523, 275, 2139, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 726, 19, 204, 204, 268, 1632, 31, 204, 268, 987, 31, 828, 275, 2139, 353, 508, 6300, 19, 204, 268, 320, 204, 268, 314, 968, 6300, 6651, 329, 1017, 3310, 12206, 13001, 5247, 2986, 204, 268, 6300, 68, 13738, 289, 463, 204, 305, 388, 1644, 2184, 1963, 12595, 19, 13282, 19, 2051, 19, 22, 20, 999, 913, 72, 21, 18, 4509, 559, 370, 806, 1510, 68, 1644, 2184, 68, 4509, 17, 204, 305, 379, 21, 597, 370, 806, 1510, 68, 4027, 68, 4509, 17, 204, 305, 388, 1644, 2184, 559, 370, 806, 1510, 68, 1644, 2184, 68, 76, 4509, 270, 68, 4509, 17, 204, 305, 388, 16184, 559, 370, 806, 1510, 68, 16184, 68, 76, 4509, 270, 68, 4509, 17, 204, 305, 388, 18733, 559, 370, 806, 1510, 68, 18733, 68, 76, 4509, 270, 68, 4509, 17, 204, 268, 1211, 204, 204, 268, 314, 778, 397, 275, 2139, 353, 6300, 204, 268, 348, 4016, 17, 838, 68, 4509, 68, 1939, 292, 6300, 68, 13738, 19, 1996, 1293, 204, 305, 397, 2139, 564, 4016, 521, 2139, 19, 7209, 13, 4830, 330, 204, 485, 407, 838, 68, 4509, 68, 1939, 13, 3112, 14, 204, 204, 268, 314, 5149, 437, 908, 397, 275, 2139, 353, 508, 6300, 204, 268, 980, 987, 499, 15204, 2139, 431, 204, 204, 264, 436, 906, 1510, 68, 1644, 2184, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 348, 437, 27261, 5917, 4457, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 726, 19, 204, 268, 320, 204, 268, 314, 1359, 1964, 1554, 348, 27261, 5917, 7863, 204, 268, 1127, 19, 4969, 1166, 23915, 8279, 68, 5065, 3738, 24656, 68, 2157, 6480, 8571, 68, 22408, 1339, 289, 388, 1644, 2184, 68, 17652, 32, 16184, 7, 204, 268, 407, 2044, 23, 19, 15200, 13, 3112, 17, 2044, 23, 19, 20503, 68, 5065, 3738, 24656, 14, 204, 204, 264, 436, 906, 1510, 68, 4027, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 348, 273, 3221, 4457, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 726, 19, 204, 268, 320, 204, 268, 407, 2044, 23, 19, 15200, 13, 21, 14, 204, 204, 264, 436, 906, 1510, 68, 1644, 2184, 68, 76, 4509, 270, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 348, 437, 27261, 5917, 4457, 974, 501, 10062, 270, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 726, 19, 204, 268, 320, 204, 268, 314, 666, 501, 10062, 270, 6704, 348, 27261, 5917, 4457, 204, 268, 6704, 289, 283, 7, 1644, 2184, 6422, 2852, 2508, 3112, 98, 26207, 34, 21, 5668, 18, 3607, 34, 4881, 2104, 10318, 3539, 2104, 2752, 6470, 2104, 9428, 1059, 16545, 34, 12839, 7, 204, 268, 407, 2044, 23, 19, 15200, 13, 9405, 17, 2044, 23, 19, 20503, 68, 44, 17651, 1053, 14, 204, 204, 264, 436, 906, 1510, 68, 16184, 68, 76, 4509, 270, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 348, 273, 15855, 4457, 974, 501, 10062, 270, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 726, 19, 204, 268, 320, 204, 268, 314, 666, 501, 10062, 270, 6704, 348, 15855, 4457, 204, 268, 6704, 289, 283, 7, 728, 2554, 3555, 96, 3112, 64, 25, 5853, 98, 2104, 1650, 20, 93, 18, 87, 1297, 17, 5735, 34, 5007, 2104, 468, 1297, 79, 23003, 6437, 2104, 31700, 696, 31276, 285, 4455, 2104, 1809, 4117, 68, 77, 31276, 2104, 9428, 1059, 16545, 34, 12839, 7, 204, 268, 407, 2044, 23, 19, 15200, 13, 9405, 17, 2044, 23, 19, 20503, 68, 44, 17651, 1053, 14, 204, 204, 264, 436, 906, 1510, 68, 18733, 68, 76, 4509, 270, 68, 4509, 13, 327, 17, 2139, 31, 394, 14, 393, 2044, 23, 19, 15200, 31, 204, 268, 320, 204, 268, 666, 273, 12206, 13001, 726, 348, 273, 14896, 4457, 974, 501, 10062, 270, 19, 204, 204, 268, 457, 31, 204, 268, 2139, 322, 325, 330, 334, 2139, 302, 275, 2752, 4457, 19, 204, 204, 268, 475, 31, 204, 268, 2044, 23, 19, 15200, 31, 334, 1966, 12206, 13001, 726, 19, 204, 268, 320, 204, 268, 314, 666, 501, 10062, 270, 6704, 348, 14896, 4457, 204, 268, 6704, 289, 283, 7, 20172, 6092, 612, 698, 3555, 96, 3112, 64, 25, 5853, 98, 2104, 357, 10056, 285, 4455, 2104, 31700, 696, 31276, 285, 4455, 2104, 1809, 4117, 68, 77, 31276, 2104, 2752, 6470, 2104, 9428, 1059, 16545, 34, 12839, 7, 204, 268, 407, 2044, 23, 19, 15200, 13, 9405, 17, 2044, 23, 19, 20503, 68, 44, 17651, 1053, 14, 204, 204, 264, 436, 1012, 13, 327, 14, 393, 379, 15200, 597, 204, 268, 320, 204, 268, 4055, 275, 2752, 5656, 3532, 19, 204, 204, 268, 475, 31, 204, 268, 12206, 13001, 31, 334, 12206, 13001, 726, 19, 204, 268, 320, 204, 268, 314, 666, 329, 1012, 275, 2752, 5656, 3532, 204, 268, 370, 806, 5625, 289, 13591, 13, 2170, 34, 327, 806, 505, 17, 21263, 34, 1021, 14, 204, 268, 370, 806, 5625, 19, 1530, 374, 204, 268, 407, 370, 204, 204, 264, 436, 906, 505, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9799, 636, 6710, 497, 275, 2752, 4457, 19, 204, 268, 320, 204, 268, 314, 9799, 1151, 6710, 497, 275, 2752, 4457, 204, 268, 1335, 508, 370, 806, 34434, 31, 204, 305, 810, 31, 204, 485, 370, 19, 37840, 2814, 17, 370, 19, 1669, 289, 370, 806, 4509, 19, 976, 374, 204, 485, 314, 31071, 273, 6394, 348, 275, 2824, 27261, 5917, 4457, 204, 485, 397, 370, 19, 3112, 564, 388, 1644, 2184, 1963, 12595, 19, 13282, 19, 2051, 19, 22, 20, 999, 913, 72, 21, 18, 4509, 559, 204, 895, 5590, 13, 21, 19, 19480, 14, 204, 305, 827, 2044, 23, 19, 718, 448, 318, 31, 204, 485, 314, 1426, 1169, 2744, 496, 1336, 1882, 2023, 4488, 204, 485, 456, 13, 75, 7, 596, 4488, 2023, 31, 463, 74, 743, 204, 204, 264, 436, 1395, 13, 327, 14, 393, 1884, 64, 2107, 17, 2044, 23, 19, 766, 744, 204, 268, 320, 204, 268, 763, 275, 7663, 2023, 19, 204, 204, 268, 475, 31, 204, 268, 1884, 64, 2107, 17, 2044, 23, 19, 766, 744, 332, 927, 1174, 273, 8051, 5850, 3855, 273, 2023, 867, 27487, 2814, 329, 275, 2023, 5398, 19, 204, 268, 320, 204, 268, 407, 370, 19, 37840, 2814, 17, 370, 19, 1669, 204, 204, 264, 436, 3506, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 2752, 5656, 3532, 19, 204, 268, 320, 204, 268, 314, 9829, 275, 2752, 5656, 3532, 329, 5367, 275, 12206, 13001, 726, 204, 268, 370, 806, 34434, 289, 959, 204, 268, 370, 806, 4509, 19, 8242, 374, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 12206, 13001, 726, 204, 264, 5656, 289, 12206, 13001, 499, 1644, 2184, 1963, 12595, 19, 13282, 19, 2051, 19, 22, 20, 999, 913, 72, 21, 18, 4509, 431, 204, 204, 264, 314, 4055, 275, 2752, 5656, 3532, 204, 264, 5656, 19, 1530, 374, 204, 204, 264, 314, 9799, 636, 6710, 497, 275, 2752, 4457, 204, 264, 1335, 959, 31, 204, 268, 27487, 2814, 17, 2023, 289, 5656, 19, 2045, 374, 204, 268, 397, 508, 27487, 2814, 31, 204, 305, 2280, 204, 204, 268, 314, 3740, 275, 2023, 204, 268, 2044, 23, 19, 8122, 499, 1126, 528, 2023, 14, 204, 204, 268, 314, 14221, 523, 896, 3692, 204, 268, 397, 2044, 23, 19, 13755, 13, 22, 14, 2343, 500, 19562, 564, 10014, 611, 86, 4448, 204, 305, 2280, 204, 204, 264, 314, 9829, 275, 2752, 5656, 3532, 204, 264, 5656, 19, 5029, 374, 204, 204, 264, 314, 15763, 1169, 1561, 4764, 204, 264, 2044, 23, 19, 15524, 374, 204, 0, 8, 1058, 5420, 6609, 273, 717, 570, 17, 48912, 17, 329, 7861, 1163, 570, 2914, 19, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 14501, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 2605, 273, 717, 570, 17, 48912, 17, 329, 7861, 1163, 570, 2914, 19, 204, 204, 264, 1058, 5420, 6019, 275, 2631, 3731, 31, 204, 264, 338, 2605, 273, 717, 570, 17, 48912, 17, 440, 2357, 348, 1324, 329, 1187, 19, 204, 264, 338, 5307, 275, 570, 2914, 348, 275, 48912, 570, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 2255, 10772, 329, 2874, 1987, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 6127, 348, 808, 5420, 204, 264, 6127, 289, 551, 204, 268, 314, 1058, 5420, 8788, 523, 275, 1419, 5420, 348, 275, 376, 363, 23550, 740, 204, 268, 2448, 91, 363, 23550, 491, 379, 11754, 68, 3474, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 2758, 348, 808, 5420, 204, 264, 2758, 289, 551, 204, 268, 314, 666, 273, 717, 570, 17, 48912, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 42, 1755, 491, 204, 305, 2357, 3603, 204, 485, 314, 7661, 348, 275, 1324, 302, 275, 13071, 204, 485, 2448, 2873, 491, 1094, 19, 6368, 10206, 204, 485, 314, 7661, 348, 275, 1187, 302, 13071, 204, 485, 2448, 932, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 3917, 204, 305, 7241, 204, 268, 5334, 204, 268, 314, 1716, 275, 570, 2914, 348, 275, 48912, 570, 204, 268, 6447, 19, 17954, 1655, 11617, 13, 204, 305, 588, 833, 42, 1755, 491, 204, 305, 2914, 2508, 204, 485, 314, 5868, 275, 25103, 560, 1324, 329, 1187, 204, 485, 379, 25554, 597, 2448, 2873, 491, 379, 932, 2008, 204, 485, 314, 1359, 275, 2874, 588, 348, 275, 48912, 570, 204, 485, 379, 7952, 68, 417, 597, 379, 42, 1755, 491, 204, 485, 314, 1359, 275, 2874, 588, 18221, 348, 275, 48912, 570, 204, 485, 379, 7952, 68, 417, 68, 9875, 597, 379, 42, 9812, 491, 204, 305, 4752, 204, 268, 5334, 204, 264, 2437, 204, 0, 32991, 45864, 1638, 9198, 4384, 24201, 2860, 26455, 2183, 3456, 32366, 2356, 6949, 408, 11516, 5290, 23398, 8915, 4296, 1955, 24201, 2860, 26455, 568, 5290, 1638, 9198, 24201, 2860, 26455, 1946, 11409, 3865, 2183, 3456, 408, 4530, 23906, 3725, 16759, 725, 7533, 2823, 23255, 12869, 4296, 1955, 24201, 2860, 26455, 568, 26728, 5890, 2879, 2183, 3456, 32366, 21891, 408, 8085, 5290, 42669, 460, 6233, 2860, 42040, 37948, 2183, 3456, 32366, 6949, 2356, 14781, 2860, 831, 2371, 1398, 408, 5290, 2370, 21732, 24108, 3865, 2183, 3456, 568, 204, 10732, 5290, 1189, 5295, 5873, 24667, 11107, 408, 5277, 2370, 12239, 20578, 8840, 2638, 408, 2823, 2370, 1638, 13806, 17369, 2677, 2860, 6170, 4831, 1116, 2653, 16759, 725, 7533, 2823, 23255, 2183, 3456, 32366, 2356, 7462, 6949, 18968, 1946, 5801, 13919, 2498, 1946, 408, 1740, 2411, 3865, 2860, 11409, 3865, 2183, 3456, 568, 2891, 5290, 3865, 2860, 11409, 3865, 2183, 3456, 1398, 408, 5651, 4287, 2093, 13806, 17369, 2677, 2860, 6170, 4831, 1116, 2653, 3725, 16759, 725, 7533, 2823, 23255, 12869, 2183, 3456, 32366, 2356, 7462, 6949, 18968, 1946, 5801, 13919, 2498, 568, 204, 2183, 3456, 2860, 6278, 2034, 28548, 17276, 4660, 6128, 3455, 4228, 6966, 7835, 2860, 8128, 45463, 6128, 3455, 568, 5290, 17276, 7466, 6128, 3455, 4228, 6966, 1284, 2449, 8830, 460, 7835, 408, 41241, 8075, 2183, 3456, 2065, 4296, 1955, 1284, 2449, 942, 9198, 9978, 568, 6966, 1284, 2449, 8830, 460, 7835, 6764, 3571, 3359, 4296, 1284, 2449, 21408, 10011, 408, 1002, 6299, 2183, 3456, 7780, 2338, 10011, 10774, 46731, 568, 5290, 2823, 23255, 2183, 3456, 3079, 6935, 23906, 6128, 3455, 4228, 4438, 13430, 2183, 3456, 2356, 7835, 2405, 1401, 2356, 9198, 28920, 408, 6511, 28920, 30735, 2356, 9459, 568, 204, 8285, 1367, 3865, 2183, 3456, 408, 5290, 1638, 11398, 1398, 6935, 23255, 1984, 204, 4660, 5290, 26527, 17839, 725, 16338, 725, 23933, 2338, 35309, 12545, 2677, 33244, 990, 11398, 12545, 1001, 13349, 204, 23398, 18865, 11398, 12545, 408, 11999, 2336, 1189, 17839, 725, 16338, 725, 23933, 2338, 35309, 12545, 568, 204, 10732, 5290, 4660, 9198, 19853, 725, 1002, 2094, 725, 2860, 29554, 2356, 12545, 408, 2183, 3456, 45864, 40328, 2860, 45396, 13806, 33572, 408, 2823, 22242, 5290, 1638, 6765, 1227, 10147, 3865, 2183, 3456, 2356, 14781, 2860, 9198, 33868, 568, 204, 1189, 12037, 10361, 5137, 408, 2183, 3456, 44948, 5290, 2405, 11398, 1398, 21401, 48225, 2868, 10026, 6385, 33572, 408, 2823, 3571, 5290, 27016, 831, 3875, 26479, 6385, 8226, 9491, 2739, 24751, 5510, 3865, 408, 5290, 1432, 6766, 4485, 21408, 26455, 26479, 408, 5718, 5290, 6935, 23255, 1970, 13806, 33572, 2338, 26479, 7608, 7893, 2324, 2575, 9459, 408, 17168, 41241, 34940, 1984, 1002, 26020, 16921, 27644, 725, 26479, 11806, 11463, 1116, 725, 1002, 2065, 29554, 4771, 1262, 33572, 725, 26479, 568, 5277, 2056, 16325, 2732, 11463, 1116, 27405, 3865, 2356, 32312, 408, 2766, 7965, 1189, 9092, 5290, 33572, 725, 26479, 9491, 2739, 2356, 3865, 11934, 6511, 3152, 14781, 9459, 725, 13506, 7479, 4311, 10361, 568, 204, 11264, 13806, 21829, 11398, 5958, 6966, 31183, 12545, 6766, 2183, 3456, 990, 35644, 5115, 9903, 1001, 12165, 8792, 2065, 12330, 568, 5290, 7533, 2891, 5290, 3865, 2183, 3456, 1398, 408, 5290, 23255, 2183, 3456, 19493, 990, 35644, 5115, 9903, 1001, 3590, 5290, 8226, 12545, 460, 13683, 4146, 2065, 9092, 568, 204, 33195, 2405, 3865, 11910, 2860, 2568, 2815, 725, 7835, 1390, 7462, 6949, 408, 7782, 41241, 34940, 34574, 725, 20472, 725, 27063, 725, 22399, 725, 12545, 725, 7835, 28584, 725, 7835, 8428, 14794, 15793, 725, 27494, 4587, 408, 6764, 3571, 33195, 39398, 24093, 1116, 22751, 9813, 2336, 24731, 408, 7782, 41241, 34940, 14325, 5115, 725, 19888, 5115, 725, 34574, 5115, 725, 21566, 36489, 1955, 568, 9198, 1116, 13506, 13501, 1902, 3865, 725, 24201, 725, 2494, 2366, 725, 17068, 8718, 7573, 725, 4667, 1531, 725, 10633, 4574, 725, 22241, 725, 1833, 7833, 2949, 725, 3590, 44545, 6551, 725, 3240, 7939, 2860, 5673, 3841, 3875, 15129, 568, 10732, 5290, 22183, 5146, 1262, 2860, 32726, 2426, 9497, 11910, 725, 2568, 2815, 2860, 7835, 6949, 408, 7965, 22751, 12910, 33195, 39398, 24093, 7251, 2730, 2426, 36541, 23255, 568, 204, 33871, 31625, 2426, 9497, 8840, 408, 5290, 22754, 33195, 6511, 28920, 30735, 9459, 2677, 7782, 41241, 34940, 27000, 13413, 2338, 21554, 13413, 1955, 13349, 204, 4172, 16349, 1024, 255, 39384, 24986, 46123, 226, 2356, 14325, 5958, 6966, 33195, 2338, 33195, 3456, 22186, 2338, 3560, 725, 3456, 20326, 2677, 33244, 990, 14325, 22399, 1001, 10412, 6764, 6299, 32991, 7462, 408, 38491, 32991, 2730, 4239, 36541, 23255, 408, 5290, 23255, 1002, 2499, 32991, 2356, 14325, 22399, 1254, 9198, 6478, 15020, 2860, 3865, 2860, 1531, 6966, 6152, 408, 2860, 8075, 5290, 45864, 15020, 725, 3865, 2860, 7530, 1490, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6152, 32991, 2356, 14325, 22399, 568, 204, 33195, 3456, 2732, 6766, 990, 34149, 1001, 2338, 990, 27634, 1001, 8310, 23224, 7835, 30951, 568, 34598, 5661, 32991, 45864, 40328, 13426, 2183, 3456, 408, 5017, 1002, 6511, 2730, 4239, 16040, 2356, 26733, 408, 32991, 1603, 7466, 9014, 2356, 9487, 2860, 46222, 28920, 408, 6764, 1002, 6511, 9198, 30735, 2860, 34984, 26733, 568, 204, 2183, 3456, 7835, 6326, 7897, 25425, 5259, 21342, 22113, 725, 22937, 725, 14609, 2860, 14745, 3058, 204, 2773, 17769, 39398, 12976, 9438, 2034, 2356, 13679, 2405, 10379, 2356, 3456, 24108, 2860, 1191, 5548, 3058, 204, 2781, 35695, 2860, 7835, 2774, 3456, 1191, 5548, 39398, 12976, 12547, 1175, 242, 1638, 32991, 2730, 3571, 10379, 2356, 3456, 24108, 2860, 1191, 5548, 3058, 204, 2183, 3456, 18109, 2638, 2034, 6290, 10379, 22399, 10222, 1002, 16338, 725, 2860, 18109, 35391, 3489, 725, 5753, 256, 4667, 725, 30594, 725, 5884, 121, 4472, 2860, 5584, 45461, 5548, 2860, 7813, 13154, 30951, 3058, 204, 42560, 31625, 2183, 3456, 3865, 32366, 2860, 2337, 9960, 2356, 32312, 408, 2253, 1603, 4296, 42560, 40328, 2860, 45396, 3456, 3058, 204, 6966, 32991, 9177, 942, 4485, 40328, 2860, 45396, 3456, 2356, 32312, 19896, 204, 33195, 2499, 34097, 37187, 725, 11562, 4660, 725, 5137, 17233, 2860, 8221, 1670, 8704, 568, 204, 5290, 2056, 3571, 33195, 13399, 2860, 12910, 2356, 9198, 3560, 725, 3456, 725, 22399, 39398, 22399, 2499, 12239, 13806, 33126, 568, 204, 11910, 1191, 9198, 19853, 2402, 2499, 11004, 2498, 3429, 568, 204, 9862, 3865, 33195, 21289, 2860, 12910, 9198, 12545, 2370, 3571, 5290, 21408, 12198, 5017, 1902, 6511, 10257, 408, 2781, 9198, 12545, 2356, 21289, 2253, 10379, 460, 5290, 19011, 4769, 2356, 9198, 26327, 2860, 12545, 15159, 6817, 1955, 39000, 408, 3571, 5290, 21408, 18732, 408, 2253, 2065, 33195, 3079, 13044, 568, 204, 5290, 1902, 33195, 12910, 460, 9198, 11516, 2860, 22399, 408, 25408, 36541, 2860, 4304, 4684, 12554, 408, 46670, 33195, 3456, 32366, 942, 13636, 8840, 408, 2499, 1002, 4034, 9580, 3456, 32366, 35473, 2356, 9198, 9632, 568, 204, 33871, 34598, 2356, 32312, 408, 32991, 2411, 23398, 40328, 2860, 45396, 5290, 14781, 2860, 6848, 460, 24986, 2065, 3456, 1984, 204, 21220, 1262, 29554, 33572, 725, 1377, 2537, 725, 19100, 8494, 725, 11260, 33572, 1955, 3590, 10361, 568, 204, 42560, 3283, 14881, 2386, 2356, 7427, 26119, 408, 11563, 7420, 3151, 2642, 2807, 4562, 28628, 2188, 10, 8778, 568, 204, 42560, 3283, 14881, 2386, 3865, 5253, 3248, 4472, 7420, 2356, 7427, 26119, 408, 3079, 7044, 5295, 921, 16040, 31426, 2386, 4228, 30608, 3655, 2112, 4472, 7420, 408, 5017, 1002, 4472, 7420, 2807, 4562, 28628, 1036, 10, 8778, 568, 204, 32991, 2499, 6766, 3456, 32366, 40328, 2860, 45396, 5290, 14781, 2860, 6848, 460, 24986, 2065, 3456, 16910, 408, 5017, 1002, 12910, 13806, 23255, 408, 15851, 25777, 1603, 5290, 6511, 9198, 26733, 2065, 9459, 568, 204, 2278, 22751, 39398, 6326, 8840, 6935, 1189, 16040, 1398, 408, 2183, 3456, 37780, 7782, 41241, 34940, 1984, 48225, 725, 7931, 2868, 3151, 725, 6281, 10231, 725, 1689, 12235, 6281, 10231, 725, 23235, 10231, 4299, 725, 6496, 12256, 1638, 2183, 3456, 27494, 408, 39398, 6765, 2860, 10147, 13224, 2356, 6478, 16040, 5290, 408, 7782, 2183, 3456, 32366, 2356, 26455, 568, 3038, 10732, 5290, 31625, 2183, 3456, 32366, 408, 1254, 38491, 24051, 16229, 5309, 4472, 2183, 3456, 408, 5290, 2499, 8221, 26761, 2426, 9497, 16040, 568, 2891, 5290, 2056, 3571, 24051, 16229, 5309, 4472, 2183, 3456, 408, 2253, 23255, 2183, 3456, 32366, 1398, 408, 5290, 5651, 23255, 2183, 3456, 2405, 1189, 2356, 9198, 2338, 7462, 4264, 13806, 16040, 408, 2402, 34061, 7573, 4144, 568, 204, 5290, 3725, 7533, 10982, 460, 990, 3079, 1572, 5211, 2114, 6681, 23255, 30700, 15764, 7462, 11264, 18884, 11934, 2338, 6949, 2356, 38485, 568, 5290, 9216, 23255, 30700, 10369, 3064, 20079, 3973, 1572, 2860, 5290, 21788, 6233, 2860, 9531, 22171, 22399, 2356, 27905, 36867, 26442, 38485, 568, 204, 32991, 45864, 1638, 9198, 4384, 38326, 2860, 12069, 10364, 24201, 2860, 45396, 33195, 3456, 2677, 2860, 2336, 9198, 6848, 10412, 2253, 14752, 2336, 16040, 2065, 7479, 568, 5290, 23255, 6429, 33195, 2405, 1531, 460, 9198, 24201, 725, 40328, 2860, 45396, 408, 33195, 1603, 5290, 1227, 9198, 11463, 1116, 6764, 28081, 18732, 9198, 9459, 568, 204, 10732, 5290, 2781, 31625, 2183, 3456, 32366, 2356, 8840, 2253, 17144, 8331, 9198, 11463, 1116, 2356, 24093, 408, 29234, 47571, 2860, 10379, 9198, 11463, 1116, 1603, 33195, 11605, 9198, 8892, 21564, 2860, 28095, 408, 5385, 5290, 22754, 32991, 6511, 28920, 30735, 9459, 2677, 7782, 41241, 34940, 27000, 13413, 2338, 21554, 13413, 1955, 13349, 204, 2183, 3456, 32366, 23247, 5290, 2065, 32991, 2356, 14781, 6278, 2093, 408, 2823, 12330, 5290, 6429, 2183, 3456, 2356, 3865, 11934, 408, 2338, 40444, 5290, 4239, 2426, 2065, 32991, 2405, 4144, 21799, 14781, 6278, 2093, 568, 921, 5290, 3865, 32991, 6326, 3456, 725, 3865, 25869, 4660, 21891, 2860, 11910, 1398, 408, 15851, 2370, 19507, 3064, 2183, 3456, 2405, 26442, 2356, 41619, 32366, 2338, 10250, 568, 204, 2183, 3456, 32366, 2356, 21148, 2065, 26442, 408, 5958, 2065, 2183, 3456, 32366, 10369, 2356, 39083, 408, 6764, 2370, 36809, 20079, 3973, 1572, 11682, 31158, 6152, 568, 204, 32991, 5295, 1490, 2678, 2860, 12023, 2183, 3456, 32366, 9198, 24093, 2860, 8840, 408, 1002, 3944, 34061, 23247, 1603, 2426, 9497, 24093, 2860, 24093, 2356, 27102, 568, 204, 2183, 3456, 32366, 6848, 2356, 8840, 2781, 2065, 20079, 3973, 1572, 11682, 16776, 11087, 2253, 42124, 2449, 408, 2183, 3456, 32366, 2356, 6966, 8840, 9833, 2370, 6472, 35309, 3463, 2034, 2338, 8483, 568, 204, 2183, 3456, 32366, 2356, 29898, 6055, 3608, 12350, 2253, 2122, 408, 1002, 3401, 9198, 11682, 2860, 27225, 5727, 8483, 568, 204, 2461, 252, 8342, 9198, 1116, 942, 31625, 2183, 3456, 32366, 2356, 2729, 2730, 408, 4796, 16040, 32991, 568, 204, 2183, 33455, 32366, 2356, 21148, 2065, 26442, 2338, 2065, 10369, 460, 39083, 408, 6764, 2370, 36809, 20079, 3973, 1572, 11682, 31158, 6152, 408, 2823, 1254, 32991, 21788, 1773, 1189, 7238, 7907, 2575, 28473, 19939, 568, 204, 0, 8, 42265, 31, 6884, 68, 1608, 68, 5404, 19, 948, 204, 8, 10784, 31, 551, 10357, 4014, 66, 204, 8, 7300, 31, 551, 18489, 677, 7300, 66, 204, 204, 676, 23596, 9339, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 275, 6884, 2304, 741, 19, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 264, 1532, 31, 204, 268, 443, 204, 204, 264, 10523, 31, 204, 268, 949, 13, 93, 31, 818, 14, 393, 818, 31, 3989, 275, 6884, 2304, 302, 273, 800, 537, 610, 19, 204, 264, 320, 204, 204, 264, 436, 949, 13, 327, 17, 610, 31, 818, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3989, 275, 6884, 2304, 302, 273, 800, 537, 610, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 996, 330, 334, 537, 700, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 6884, 2304, 302, 275, 537, 700, 19, 204, 268, 320, 204, 268, 314, 334, 6884, 2304, 741, 353, 4310, 448, 681, 93, 13, 22, 18, 93, 14, 204, 268, 407, 681, 540, 610, 540, 322, 22, 338, 610, 14, 204, 204, 204, 676, 4964, 8559, 6574, 31, 204, 264, 320, 204, 264, 332, 850, 7029, 348, 9471, 27059, 974, 273, 800, 2304, 741, 19, 204, 204, 264, 1532, 31, 204, 268, 2304, 68, 2539, 322, 10740, 330, 334, 2304, 741, 311, 732, 348, 9471, 27059, 19, 204, 268, 1419, 68, 1512, 322, 996, 330, 334, 1419, 1259, 302, 275, 11974, 19, 204, 268, 3214, 322, 339, 330, 334, 542, 302, 3214, 292, 275, 11974, 19, 204, 204, 264, 10523, 31, 204, 268, 1900, 374, 393, 458, 31, 6071, 273, 11974, 974, 275, 800, 2304, 741, 329, 1419, 1259, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2304, 68, 2539, 31, 7063, 17, 1419, 68, 1512, 31, 818, 17, 3214, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 4964, 8559, 6574, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 2304, 68, 2539, 322, 10740, 330, 334, 2304, 741, 311, 732, 348, 9471, 27059, 19, 204, 305, 1419, 68, 1512, 322, 996, 330, 334, 1419, 1259, 302, 275, 11974, 19, 204, 305, 3214, 322, 339, 330, 334, 542, 302, 3214, 292, 275, 11974, 19, 204, 268, 320, 204, 268, 370, 19, 1608, 68, 2539, 289, 2304, 68, 2539, 204, 268, 370, 19, 3474, 68, 1512, 289, 1419, 68, 1512, 204, 268, 370, 19, 4593, 289, 3214, 204, 204, 264, 436, 1900, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 6071, 273, 11974, 974, 275, 800, 2304, 741, 329, 1419, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 334, 4489, 11974, 19, 204, 268, 320, 204, 268, 314, 977, 275, 11974, 440, 275, 1419, 1259, 204, 268, 11974, 289, 551, 327, 19, 3474, 68, 1512, 66, 204, 822, 268, 314, 2069, 275, 11974, 560, 34761, 8910, 275, 2304, 741, 204, 268, 348, 906, 292, 933, 13, 327, 19, 4593, 330, 204, 305, 314, 888, 275, 1682, 1259, 974, 275, 2304, 741, 204, 305, 1682, 68, 1512, 289, 370, 19, 1608, 68, 2539, 13, 17777, 3327, 22, 694, 204, 305, 314, 5230, 275, 1682, 1259, 311, 275, 11974, 204, 305, 11974, 19, 1223, 13, 2715, 68, 1512, 14, 204, 822, 268, 407, 11974, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 437, 1014, 302, 275, 23596, 9339, 850, 204, 264, 6884, 68, 1608, 289, 23596, 9339, 374, 204, 615, 264, 314, 666, 5644, 302, 275, 4964, 8559, 6574, 850, 440, 1792, 1419, 3584, 204, 264, 4651, 68, 22, 289, 4964, 8559, 6574, 13, 28269, 68, 1608, 19, 3446, 17, 500, 19, 22, 17, 1607, 14, 204, 264, 4651, 68, 23, 289, 4964, 8559, 6574, 13, 28269, 68, 1608, 19, 3446, 17, 500, 19, 23, 17, 1607, 14, 204, 204, 264, 314, 2069, 27059, 204, 264, 11974, 68, 22, 289, 4651, 68, 22, 19, 4776, 374, 204, 264, 11974, 68, 23, 289, 4651, 68, 23, 19, 4776, 374, 204, 204, 264, 314, 1198, 275, 4489, 27059, 204, 264, 456, 499, 44707, 368, 2180, 11974, 68, 22, 14, 204, 264, 456, 499, 44707, 435, 2180, 11974, 68, 23, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4978, 20, 1618, 19, 948, 204, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 1234, 19, 13722, 532, 1274, 7700, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 204, 461, 3893, 68, 805, 13, 805, 330, 204, 264, 320, 204, 264, 3866, 275, 1274, 19, 204, 615, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 311, 444, 7950, 19, 204, 615, 264, 1632, 31, 204, 264, 6630, 31, 828, 275, 1274, 353, 2872, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 1274, 7700, 18826, 805, 14, 204, 264, 827, 6630, 31, 204, 268, 980, 6630, 499, 1962, 1274, 431, 204, 204, 676, 25796, 270, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 275, 22479, 302, 275, 4978, 19, 204, 615, 264, 1532, 31, 204, 264, 16331, 68, 935, 322, 12043, 330, 334, 16331, 752, 302, 275, 4978, 19, 204, 264, 16331, 68, 805, 322, 24362, 330, 334, 1274, 302, 275, 16331, 19, 204, 264, 21176, 68, 492, 322, 2580, 330, 334, 21176, 1068, 302, 275, 4978, 19, 204, 264, 320, 204, 264, 16331, 68, 935, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 9130, 68, 18201, 491, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 16331, 68, 805, 289, 1094, 19, 24362, 13, 13722, 3603, 5542, 68, 805, 648, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 21176, 68, 492, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 388, 35937, 270, 7, 204, 204, 676, 43978, 3520, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 275, 31495, 3520, 302, 275, 4978, 19, 204, 615, 264, 1532, 31, 204, 264, 1724, 322, 2580, 330, 334, 1724, 302, 275, 31495, 3520, 19, 204, 264, 5444, 322, 13243, 330, 334, 5444, 292, 275, 31495, 3520, 19, 204, 264, 320, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 5444, 289, 1094, 19, 13243, 611, 9726, 491, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4247, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 1778, 204, 204, 676, 8692, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 1977, 292, 275, 31495, 3520, 19, 204, 615, 264, 1532, 31, 204, 264, 1068, 322, 2580, 330, 334, 1068, 302, 275, 1977, 19, 204, 264, 1779, 322, 24362, 330, 334, 1274, 302, 275, 1977, 19, 204, 264, 320, 204, 264, 1068, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 1779, 289, 1094, 19, 24362, 13, 13722, 3603, 5542, 68, 805, 694, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 492, 204, 204, 676, 11785, 9070, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 275, 2557, 302, 275, 4978, 19, 204, 615, 264, 1532, 31, 204, 264, 5665, 68, 935, 322, 12043, 330, 334, 5665, 752, 302, 275, 4978, 19, 204, 264, 4978, 68, 1778, 322, 2580, 330, 334, 1724, 302, 275, 4978, 19, 204, 264, 4978, 68, 37811, 322, 2580, 330, 334, 25187, 302, 275, 4978, 19, 204, 264, 16331, 322, 12043, 330, 334, 16331, 302, 275, 4978, 19, 204, 264, 320, 204, 264, 5665, 68, 935, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 9130, 68, 2936, 491, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 4978, 68, 1778, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 4978, 68, 37811, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 264, 16331, 289, 1094, 19, 12043, 13, 7488, 68, 633, 833, 9130, 68, 18201, 491, 4247, 34, 1021, 17, 3749, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 388, 19848, 15680, 7, 204, 0, 647, 1361, 204, 531, 12725, 23, 19, 31633, 532, 1061, 13467, 204, 531, 12725, 23, 532, 7252, 204, 531, 1907, 19, 1479, 532, 1727, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 3342, 289, 1361, 19, 6095, 499, 5154, 431, 204, 204, 461, 4032, 68, 274, 1887, 68, 12053, 13, 285, 11869, 68, 18952, 68, 15380, 36760, 68, 1915, 31, 783, 64, 339, 694, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 3182, 4391, 68, 75, 2600, 88, 329, 4391, 68, 13651, 5594, 7535, 1169, 302, 275, 1917, 45746, 68, 18952, 68, 15380, 36760, 68, 359, 458, 204, 264, 475, 458, 302, 28850, 36431, 204, 264, 320, 204, 264, 397, 508, 45746, 68, 18952, 68, 15380, 36760, 68, 1915, 31, 204, 268, 407, 1306, 204, 204, 264, 314, 763, 4391, 4192, 311, 4032, 204, 264, 4391, 68, 1915, 289, 906, 505, 68, 7305, 68, 1915, 68, 633, 68, 2756, 13, 285, 11869, 68, 18952, 68, 15380, 36760, 68, 1915, 14, 204, 204, 264, 397, 508, 4391, 68, 1915, 31, 204, 268, 407, 1306, 204, 204, 264, 314, 763, 28850, 36431, 204, 264, 28850, 68, 89, 493, 3408, 289, 906, 505, 68, 34810, 68, 89, 493, 3408, 13, 7305, 68, 1915, 14, 204, 204, 264, 314, 1716, 16246, 1813, 204, 264, 906, 2045, 68, 18952, 68, 1803, 13, 7305, 68, 1915, 14, 204, 204, 264, 314, 6117, 9093, 204, 264, 906, 2756, 68, 12053, 13, 7305, 68, 1915, 14, 204, 204, 264, 2082, 19, 1270, 13, 75, 1954, 1796, 13, 7305, 68, 1915, 330, 17, 98, 9093, 8143, 431, 204, 204, 264, 407, 28850, 68, 89, 493, 3408, 204, 204, 461, 906, 505, 68, 7305, 68, 1915, 68, 633, 68, 2756, 13, 285, 11869, 68, 18952, 68, 15380, 36760, 68, 1915, 31, 783, 64, 339, 694, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 763, 4391, 4192, 311, 4032, 1609, 523, 45746, 16246, 18905, 36760, 4192, 204, 264, 320, 204, 264, 13285, 68, 633, 68, 2756, 289, 551, 325, 13, 359, 14, 348, 1276, 292, 45746, 68, 18952, 68, 15380, 36760, 68, 1915, 66, 204, 264, 2082, 19, 4561, 13, 75, 7, 13759, 34960, 1605, 4032, 2493, 4192, 31, 463, 1915, 68, 633, 68, 2756, 743, 204, 204, 264, 440, 1727, 19, 4322, 374, 448, 3370, 31, 204, 268, 3370, 19, 4118, 13, 204, 305, 388, 7097, 4391, 68, 359, 7281, 4391, 68, 75, 2600, 88, 8888, 45746, 68, 18952, 68, 15380, 36760, 68, 359, 5697, 1564, 88, 528, 204, 305, 322, 2644, 13, 1915, 68, 633, 68, 2756, 659, 14, 204, 268, 1179, 204, 268, 407, 551, 937, 64, 21, 66, 348, 1237, 292, 3370, 19, 13208, 6485, 204, 204, 461, 906, 505, 68, 34810, 68, 89, 493, 3408, 13, 7305, 68, 1915, 31, 783, 64, 339, 694, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 763, 28850, 36431, 560, 275, 9093, 311, 444, 8143, 204, 264, 320, 204, 264, 440, 1727, 19, 4322, 374, 448, 3370, 31, 204, 268, 3370, 19, 4118, 13, 204, 305, 388, 7097, 36652, 48377, 16246, 68, 359, 7281, 4391, 68, 13651, 8888, 1276, 5697, 18958, 88, 11541, 204, 305, 322, 528, 2948, 1541, 13, 1608, 13, 325, 17, 4391, 68, 1915, 3917, 14, 204, 268, 1179, 204, 268, 407, 3370, 19, 13208, 374, 204, 204, 461, 906, 2045, 68, 18952, 68, 1803, 13, 7305, 68, 1915, 31, 783, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 16246, 1813, 560, 5465, 1818, 21580, 311, 3749, 204, 264, 320, 204, 264, 440, 1727, 19, 4322, 374, 448, 3370, 31, 204, 268, 3370, 19, 4118, 13, 204, 305, 388, 18344, 16246, 68, 1803, 17899, 7663, 68, 7305, 68, 359, 289, 12057, 17, 17338, 68, 7305, 68, 359, 289, 12057, 388, 204, 305, 388, 60, 8400, 7663, 68, 7305, 68, 359, 5697, 18958, 88, 14, 9636, 17338, 68, 7305, 68, 359, 5697, 18958, 88, 14, 388, 204, 305, 388, 39662, 3096, 1276, 528, 204, 305, 322, 528, 2948, 1541, 13, 1608, 13, 325, 17, 4391, 68, 1915, 3917, 36497, 1541, 13, 1608, 13, 325, 17, 4391, 68, 1915, 3694, 204, 268, 1179, 204, 268, 8143, 68, 34810, 289, 3370, 19, 13208, 374, 204, 268, 2082, 19, 1270, 13, 75, 1954, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 75, 2600, 88, 68, 7305, 13, 4322, 17, 1137, 68, 1386, 14, 204, 485, 1137, 68, 1386, 1166, 7305, 68, 75, 2600, 88, 7721, 7305, 68, 359, 1339, 289, 4391, 68, 359, 204, 485, 1137, 68, 1386, 1166, 18952, 7721, 12142, 68, 7305, 68, 359, 1339, 289, 4391, 68, 359, 204, 204, 305, 827, 7252, 448, 318, 31, 204, 485, 2082, 19, 718, 13, 204, 895, 283, 7, 986, 5585, 348, 13961, 3046, 13285, 463, 986, 68, 1386, 736, 7305, 68, 75, 2600, 88, 4976, 285, 11869, 68, 18952, 68, 15380, 36760, 68, 359, 10139, 9851, 204, 895, 283, 7979, 83, 17031, 31, 463, 74, 19, 4043, 718, 2495, 204, 485, 1179, 204, 485, 5585, 68, 1915, 19, 1223, 13, 986, 68, 1386, 1166, 7305, 68, 75, 2600, 88, 7721, 285, 11869, 68, 18952, 68, 15380, 36760, 68, 359, 3808, 204, 204, 264, 407, 458, 13, 1915, 68, 522, 68, 34810, 68, 5903, 68, 276, 68, 8107, 14, 204, 204, 461, 906, 18762, 68, 18952, 13, 4322, 17, 1137, 68, 1386, 31, 1061, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 273, 7535, 16246, 292, 275, 1104, 204, 264, 320, 204, 264, 1020, 68, 18762, 68, 18952, 68, 4655, 289, 388, 7097, 1276, 7281, 376, 92, 68, 34810, 8888, 4489, 68, 5271, 68, 18952, 68, 359, 289, 1564, 88, 7, 204, 264, 3370, 19, 4118, 13, 2269, 68, 18762, 68, 18952, 68, 4655, 17, 322, 986, 68, 1386, 1166, 7305, 68, 75, 2600, 88, 7721, 5271, 68, 18952, 68, 644, 2869, 602, 204, 264, 1563, 289, 3370, 19, 13208, 374, 204, 264, 407, 1563, 64, 21, 1799, 21, 66, 397, 1563, 902, 443, 204, 204, 461, 906, 13715, 68, 14028, 68, 7305, 13, 4322, 17, 1137, 68, 1386, 31, 1061, 14, 393, 421, 31, 204, 264, 320, 204, 264, 13792, 719, 437, 4449, 4391, 292, 275, 1104, 204, 264, 320, 204, 264, 1020, 68, 18762, 68, 7305, 68, 4655, 289, 388, 7097, 4391, 68, 359, 7281, 376, 92, 68, 7305, 68, 75, 2600, 88, 8888, 45746, 68, 18952, 68, 15380, 68, 5271, 289, 1564, 88, 7, 204, 264, 3370, 19, 4118, 13, 2269, 68, 18762, 68, 7305, 68, 4655, 17, 322, 986, 68, 1386, 1166, 7305, 68, 75, 2600, 88, 7721, 285, 11869, 68, 18952, 68, 15380, 68, 5271, 2869, 602, 204, 264, 1563, 289, 3370, 19, 13208, 374, 204, 264, 407, 1563, 64, 21, 1799, 21, 66, 397, 1563, 902, 443, 204, 204, 461, 906, 2045, 68, 75, 2600, 88, 68, 7305, 13, 4322, 17, 1137, 68, 1386, 31, 1061, 17, 4391, 68, 359, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 437, 4449, 34463, 7257, 4391, 204, 264, 320, 204, 264, 1395, 68, 7305, 68, 75, 2600, 88, 13, 4322, 17, 1137, 68, 1386, 14, 204, 264, 1395, 68, 7305, 68, 13651, 13, 4322, 17, 1137, 68, 1386, 14, 204, 264, 2082, 19, 4561, 13, 75, 7, 8107, 283, 2600, 88, 4391, 463, 7305, 68, 359, 743, 204, 204, 461, 906, 5021, 68, 75, 2600, 88, 68, 7305, 13, 4322, 17, 1137, 68, 1386, 31, 1061, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6461, 273, 717, 34463, 7257, 4391, 204, 264, 320, 204, 264, 4391, 68, 13651, 68, 359, 289, 4482, 68, 7305, 68, 13651, 13, 4322, 17, 1137, 68, 1386, 14, 204, 264, 1137, 68, 1386, 1166, 7305, 68, 75, 2600, 88, 7721, 7305, 68, 359, 1339, 289, 4391, 68, 13651, 68, 359, 204, 264, 4391, 68, 75, 2600, 88, 68, 359, 289, 4482, 68, 7305, 68, 75, 2600, 88, 13, 4322, 17, 1137, 68, 1386, 14, 204, 264, 2082, 19, 4561, 13, 75, 7, 5903, 283, 2600, 88, 4391, 463, 7305, 68, 75, 2600, 88, 68, 359, 743, 204, 264, 407, 4391, 68, 75, 2600, 88, 68, 359, 204, 0, 531, 2769, 532, 12740, 204, 647, 2164, 204, 531, 10650, 25, 532, 5322, 204, 531, 1498, 532, 1535, 204, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1804, 204, 647, 12348, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 37, 6611, 204, 676, 9461, 31, 204, 264, 320, 989, 850, 311, 1173, 437, 3062, 1279, 204, 264, 1779, 31, 394, 204, 264, 1722, 68, 359, 31, 394, 204, 264, 14119, 31, 394, 204, 264, 1724, 31, 394, 204, 264, 3062, 68, 672, 31, 1804, 204, 264, 1666, 31, 394, 204, 264, 2799, 68, 417, 31, 394, 204, 204, 461, 2252, 68, 2079, 13, 2079, 31, 394, 14, 393, 5322, 31, 204, 264, 320, 204, 264, 2735, 275, 800, 2966, 1666, 974, 5322, 19, 204, 204, 264, 457, 31, 204, 264, 5004, 322, 325, 330, 334, 2966, 1666, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 264, 5322, 31, 334, 3634, 2966, 1666, 19, 204, 264, 320, 204, 264, 314, 1974, 22502, 1732, 348, 12096, 6673, 204, 264, 407, 5322, 13, 2079, 17, 2048, 833, 23249, 534, 204, 204, 461, 1967, 68, 5982, 68, 481, 13, 11880, 31, 5322, 17, 1779, 31, 394, 14, 393, 1535, 64, 13528, 744, 204, 264, 320, 204, 264, 1986, 3062, 424, 497, 275, 800, 3634, 2966, 1666, 19, 204, 204, 264, 457, 31, 204, 264, 5804, 322, 18091, 330, 334, 3634, 2966, 1666, 19, 204, 264, 1779, 322, 325, 330, 334, 1274, 302, 275, 3062, 19, 204, 204, 264, 475, 31, 204, 264, 9461, 31, 334, 4989, 3062, 424, 17, 521, 443, 397, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1752, 275, 667, 1666, 302, 275, 3062, 204, 268, 667, 68, 2387, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 2387, 431, 204, 822, 268, 314, 1986, 3062, 424, 204, 268, 3062, 289, 9461, 13, 204, 305, 1779, 34, 805, 17, 204, 305, 1722, 68, 359, 34, 4074, 1825, 19, 7648, 26, 13, 805, 19, 4170, 13725, 18927, 2144, 204, 305, 14119, 34, 4074, 1825, 19, 7648, 26, 13, 805, 19, 4170, 13725, 18927, 2144, 204, 305, 1724, 34, 660, 68, 2387, 19, 2269, 499, 77, 22, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5561, 505, 3430, 2144, 204, 305, 3062, 68, 672, 34, 2664, 19, 12903, 13, 660, 68, 2387, 19, 2269, 499, 11968, 528, 850, 24097, 672, 5561, 505, 3430, 1528, 2892, 2144, 13057, 62, 5079, 82, 5079, 73, 3186, 204, 305, 1666, 34, 660, 68, 2387, 19, 2269, 499, 2952, 528, 850, 24097, 3825, 5561, 505, 3430, 1528, 2892, 2144, 204, 305, 2799, 68, 417, 34, 660, 68, 2387, 19, 2269, 499, 5982, 5561, 77, 25, 19, 505, 3430, 40172, 2051, 66, 226, 314, 11831, 2799, 588, 311, 1607, 2724, 204, 268, 1179, 204, 268, 407, 3062, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 16997, 3062, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3752, 68, 416, 68, 1703, 68, 5982, 13, 805, 31, 394, 14, 393, 1535, 64, 13528, 744, 204, 264, 320, 204, 264, 6579, 275, 2966, 1666, 302, 275, 800, 1274, 329, 1967, 3062, 424, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 302, 275, 3062, 19, 204, 204, 264, 475, 31, 204, 264, 9461, 31, 334, 4989, 3062, 424, 17, 521, 443, 397, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 822, 268, 314, 2735, 275, 2966, 1666, 204, 268, 5804, 289, 2252, 68, 2079, 13, 1935, 19, 492, 14, 204, 822, 268, 314, 1986, 3062, 424, 204, 268, 3062, 289, 1967, 68, 5982, 68, 481, 13, 11880, 17, 1779, 14, 204, 268, 407, 3062, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 10775, 329, 6673, 3062, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 1779, 289, 388, 1942, 1963, 4537, 19, 2301, 18, 654, 20483, 19, 1453, 20, 45356, 68, 1909, 7698, 1719, 19, 27022, 7, 204, 264, 3062, 289, 3752, 68, 416, 68, 1703, 68, 5982, 13, 805, 14, 204, 264, 397, 3062, 31, 204, 268, 1361, 19, 1270, 499, 36758, 3062, 424, 2212, 204, 268, 348, 1242, 292, 3062, 3925, 873, 29388, 204, 305, 1361, 19, 1270, 13, 75, 1954, 1993, 2829, 463, 20537, 13, 5982, 17, 1242, 3835, 204, 268, 1361, 19, 1270, 28358, 540, 2846, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 531, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 927, 64, 339, 17, 421, 66, 1152, 443, 31, 204, 264, 320, 204, 264, 4143, 537, 497, 273, 510, 329, 2584, 273, 927, 302, 970, 1892, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 537, 510, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 339, 17, 421, 66, 1152, 443, 31, 332, 927, 1174, 970, 1892, 17, 521, 443, 397, 275, 510, 353, 508, 1193, 521, 275, 537, 1883, 353, 2872, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 440, 17847, 18, 29, 4051, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 4051, 1022, 3102, 18, 29, 431, 448, 510, 31, 204, 305, 314, 1606, 275, 1043, 1007, 329, 3404, 490, 1025, 970, 1892, 204, 305, 392, 17, 361, 289, 2304, 13, 339, 17, 510, 19, 10969, 1528, 1590, 1447, 204, 305, 407, 392, 17, 361, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 443, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 537, 1883, 353, 2872, 204, 268, 456, 13, 75, 7, 1962, 537, 1883, 292, 510, 3318, 553, 68, 546, 29088, 204, 268, 407, 443, 204, 204, 461, 949, 68, 1300, 13, 1190, 68, 522, 68, 1996, 31, 421, 17, 6576, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 722, 1609, 523, 275, 537, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 542, 68, 522, 68, 1996, 322, 339, 330, 334, 542, 302, 2696, 19, 204, 264, 6576, 322, 339, 330, 334, 6576, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 3392, 722, 19, 204, 264, 320, 204, 264, 314, 888, 275, 722, 1609, 523, 275, 542, 302, 2696, 204, 264, 397, 542, 68, 522, 68, 1996, 3721, 931, 31, 204, 268, 314, 828, 275, 542, 302, 2696, 353, 931, 521, 1182, 17, 407, 275, 6576, 204, 268, 407, 6576, 204, 264, 902, 31, 204, 268, 314, 828, 275, 542, 302, 2696, 353, 2202, 1194, 931, 17, 949, 275, 722, 204, 268, 407, 1607, 540, 322, 1003, 338, 542, 68, 522, 68, 1996, 14, 465, 6576, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 537, 497, 273, 510, 329, 9111, 275, 722, 19, 204, 264, 320, 204, 264, 314, 9918, 275, 510, 832, 204, 264, 510, 68, 546, 289, 468, 2625, 65, 38, 65, 38, 68, 768, 19, 3039, 12, 204, 615, 264, 314, 1606, 275, 537, 497, 275, 510, 204, 264, 537, 68, 1309, 289, 1151, 68, 768, 68, 531, 68, 553, 13, 553, 68, 546, 14, 204, 615, 264, 314, 778, 397, 275, 537, 1019, 529, 1097, 204, 264, 397, 537, 68, 1309, 31, 204, 268, 314, 16515, 275, 537, 1019, 204, 268, 542, 68, 522, 68, 1996, 17, 6576, 289, 537, 68, 1309, 204, 822, 268, 314, 888, 275, 722, 204, 268, 722, 289, 949, 68, 1300, 13, 1190, 68, 522, 68, 1996, 17, 6576, 14, 204, 822, 268, 314, 1198, 275, 722, 204, 268, 456, 13, 1300, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 8738, 532, 13591, 204, 531, 3056, 532, 3056, 17, 24256, 68, 15961, 17, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16563, 5769, 68, 17651, 204, 531, 12468, 26, 19, 13113, 532, 1301, 5379, 17, 45294, 204, 204, 676, 10541, 9515, 31, 204, 264, 320, 7134, 1586, 315, 204, 264, 40033, 289, 379, 10779, 19, 21, 19, 21, 19, 22, 12, 204, 264, 30661, 289, 28783, 204, 264, 27860, 20125, 68, 2956, 289, 10696, 204, 204, 676, 10541, 9650, 1493, 13, 54, 5379, 330, 204, 264, 320, 9650, 1493, 348, 9841, 7861, 315, 204, 264, 943, 68, 15925, 289, 45294, 13, 325, 14, 204, 264, 575, 68, 9372, 289, 45294, 374, 204, 204, 676, 10541, 31, 204, 264, 320, 7134, 3056, 6294, 315, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 31, 1301, 5379, 330, 204, 268, 320, 204, 268, 977, 275, 1981, 3056, 204, 204, 268, 457, 31, 204, 305, 2260, 322, 54, 5379, 330, 16399, 726, 348, 9841, 7861, 204, 268, 320, 204, 268, 370, 19, 3619, 289, 2260, 204, 268, 370, 19, 14270, 289, 10541, 9650, 1493, 374, 204, 268, 370, 19, 14270, 19, 1454, 68, 15925, 19, 2933, 13, 327, 19, 3619, 19, 2045, 14, 204, 268, 370, 19, 14270, 19, 816, 68, 9372, 19, 2933, 13, 327, 19, 3619, 19, 816, 68, 9372, 14, 204, 204, 268, 370, 19, 360, 68, 46361, 289, 1078, 204, 268, 370, 19, 2463, 289, 10541, 9515, 19, 8737, 204, 268, 370, 19, 898, 289, 10541, 9515, 19, 7660, 204, 268, 370, 19, 6437, 68, 835, 289, 10541, 9515, 19, 24455, 68, 2956, 204, 268, 370, 19, 2820, 289, 322, 327, 19, 2463, 17, 370, 19, 898, 14, 204, 268, 370, 19, 13953, 289, 1306, 204, 268, 370, 19, 12768, 289, 1306, 204, 268, 370, 19, 2923, 68, 2794, 289, 443, 204, 204, 264, 436, 589, 9142, 889, 327, 330, 204, 268, 320, 21328, 275, 1981, 1330, 275, 726, 353, 8143, 315, 204, 268, 370, 19, 5029, 374, 204, 204, 264, 436, 1012, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4055, 275, 1981, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 1981, 6911, 4073, 17, 1078, 2130, 204, 268, 320, 204, 268, 314, 666, 273, 717, 1981, 3056, 204, 268, 370, 19, 2923, 68, 2794, 289, 3056, 13, 10059, 68, 15961, 17, 16563, 5769, 68, 17651, 14, 204, 268, 810, 31, 204, 305, 314, 19221, 275, 1981, 3056, 311, 275, 1995, 204, 305, 370, 19, 2923, 68, 2794, 19, 8357, 13, 327, 19, 2820, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 35346, 908, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 268, 902, 31, 204, 305, 314, 4055, 15620, 348, 7348, 7369, 204, 305, 370, 19, 360, 68, 46361, 289, 959, 204, 305, 370, 19, 14632, 68, 5625, 289, 13591, 13, 2170, 34, 327, 19, 14632, 14, 204, 305, 370, 19, 14632, 68, 5625, 19, 1530, 374, 204, 305, 456, 499, 7134, 15620, 431, 204, 305, 407, 959, 204, 204, 264, 436, 3506, 13, 327, 330, 204, 268, 320, 21328, 275, 1981, 315, 204, 268, 314, 9829, 15620, 348, 7348, 7369, 204, 268, 370, 19, 360, 68, 46361, 289, 1078, 204, 268, 397, 370, 19, 2923, 68, 2794, 31, 204, 305, 314, 5706, 275, 1981, 3056, 204, 305, 370, 19, 2923, 68, 2794, 19, 3529, 374, 204, 305, 456, 499, 7134, 14418, 431, 204, 204, 264, 436, 12441, 13, 327, 330, 204, 268, 320, 204, 268, 25455, 348, 7348, 7369, 204, 204, 268, 1058, 1216, 6944, 292, 273, 7490, 3532, 204, 268, 320, 204, 268, 1335, 370, 19, 360, 68, 46361, 31, 204, 305, 314, 25455, 348, 7348, 7369, 204, 305, 370, 19, 2923, 68, 2794, 19, 14632, 374, 204, 305, 810, 31, 204, 485, 314, 21132, 437, 7348, 1727, 204, 485, 1545, 17, 1995, 289, 370, 19, 2923, 68, 2794, 19, 11130, 374, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 456, 13, 75, 7, 17685, 908, 31, 463, 74, 743, 204, 485, 2280, 204, 305, 902, 31, 204, 485, 314, 33559, 273, 3683, 1330, 273, 575, 21443, 204, 485, 370, 19, 14270, 19, 816, 68, 9372, 19, 17406, 374, 204, 485, 314, 1255, 275, 1545, 311, 275, 458, 302, 11234, 204, 485, 370, 19, 13953, 19, 1223, 13, 1723, 14, 204, 485, 314, 666, 273, 717, 3532, 311, 7137, 424, 497, 275, 1545, 204, 485, 7137, 68, 5625, 289, 13591, 13, 2170, 34, 327, 19, 18330, 17, 2042, 3644, 2820, 17, 1545, 602, 204, 485, 314, 1255, 275, 3532, 311, 275, 458, 302, 9429, 204, 485, 370, 19, 12768, 19, 1223, 13, 18330, 68, 5625, 14, 204, 485, 314, 4055, 275, 3532, 204, 485, 7137, 68, 5625, 19, 1530, 374, 204, 268, 314, 3182, 830, 11234, 1330, 275, 1981, 15362, 15620, 204, 268, 370, 19, 3956, 68, 668, 68, 13953, 374, 204, 268, 314, 5706, 275, 1981, 3056, 204, 268, 370, 19, 2923, 68, 2794, 19, 3529, 374, 204, 204, 264, 436, 7137, 13, 327, 17, 1995, 17, 1545, 330, 204, 268, 320, 204, 268, 12154, 424, 497, 273, 1545, 204, 204, 268, 457, 31, 204, 305, 1995, 31, 7308, 1995, 204, 305, 1545, 31, 7308, 3056, 204, 268, 320, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 314, 12154, 424, 497, 275, 1545, 204, 485, 424, 289, 1545, 19, 12383, 13, 327, 19, 6437, 68, 835, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 456, 13, 75, 7, 25016, 545, 908, 31, 463, 74, 743, 204, 485, 2280, 204, 305, 902, 31, 204, 485, 397, 424, 31, 204, 895, 314, 12210, 275, 5445, 424, 204, 895, 943, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 895, 314, 2878, 275, 943, 311, 830, 11234, 204, 895, 370, 19, 3345, 13, 1454, 14, 204, 895, 314, 33559, 273, 3683, 440, 275, 5445, 943, 204, 895, 370, 19, 14270, 19, 1454, 68, 15925, 19, 17406, 13, 1454, 14, 204, 895, 456, 13, 75, 15394, 1318, 8279, 744, 463, 2820, 98, 463, 1454, 743, 204, 204, 268, 314, 3182, 275, 1545, 1330, 275, 1727, 353, 7106, 204, 268, 370, 19, 3956, 68, 1723, 13, 1723, 14, 204, 204, 264, 436, 2566, 13, 327, 17, 943, 31, 394, 330, 204, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 320, 204, 268, 2878, 273, 943, 311, 830, 11234, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 330, 7837, 311, 2566, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2878, 275, 943, 311, 830, 11234, 204, 305, 348, 1545, 292, 370, 19, 13953, 31, 204, 485, 1545, 19, 3345, 13, 1454, 19, 4170, 1447, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 21983, 908, 31, 463, 74, 743, 204, 204, 264, 436, 3142, 68, 1723, 13, 327, 17, 1545, 330, 204, 268, 320, 204, 268, 3182, 273, 1545, 497, 275, 458, 204, 204, 268, 457, 31, 204, 305, 1545, 31, 7308, 3056, 204, 268, 320, 204, 268, 314, 5706, 275, 1545, 3056, 204, 268, 1545, 19, 3529, 374, 204, 268, 314, 3182, 275, 1545, 497, 275, 458, 302, 11234, 204, 268, 370, 19, 13953, 19, 3956, 13, 1723, 14, 204, 268, 314, 3182, 275, 3532, 3610, 440, 275, 1545, 204, 268, 370, 19, 12768, 289, 551, 89, 348, 265, 292, 370, 19, 12768, 397, 265, 19, 360, 68, 15284, 6485, 204, 204, 264, 436, 3142, 68, 668, 68, 13953, 13, 327, 330, 204, 268, 320, 19659, 830, 11234, 315, 204, 268, 314, 5706, 830, 1545, 34072, 204, 268, 348, 1545, 292, 370, 19, 13953, 31, 204, 305, 1545, 19, 3529, 374, 204, 268, 314, 9886, 275, 458, 302, 11234, 204, 268, 370, 19, 13953, 19, 5892, 374, 204, 268, 314, 9886, 275, 458, 302, 9429, 204, 268, 370, 19, 12768, 19, 5892, 374, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 12468, 26, 19, 13113, 532, 1301, 5379, 204, 264, 850, 9841, 13, 54, 5379, 330, 204, 268, 436, 589, 924, 889, 327, 330, 204, 305, 2234, 3853, 924, 6203, 204, 305, 370, 19, 2923, 289, 10541, 13, 327, 14, 204, 305, 370, 19, 2923, 19, 1530, 374, 204, 204, 268, 436, 1395, 13, 327, 17, 943, 330, 204, 305, 456, 13, 75, 7, 18070, 943, 31, 463, 1454, 743, 204, 204, 268, 436, 575, 68, 9372, 13, 327, 330, 204, 305, 456, 499, 2491, 4851, 431, 204, 204, 264, 24536, 289, 9841, 374, 204, 0, 647, 1361, 204, 647, 1875, 204, 531, 10650, 25, 532, 5322, 204, 531, 12202, 532, 9124, 17, 14484, 204, 531, 1498, 532, 1061, 17, 783, 204, 531, 7124, 19, 1703, 532, 20532, 204, 531, 8632, 532, 8204, 204, 204, 8, 4861, 204, 15841, 68, 17704, 68, 3778, 289, 388, 3189, 1963, 4659, 2154, 19, 350, 470, 21275, 19, 15515, 19, 2854, 20, 1803, 36, 2120, 29990, 2873, 34, 8131, 11, 3813, 10, 26, 39, 10, 26, 41, 34, 6846, 11, 2201, 68, 932, 10, 26, 39, 10, 26, 41, 34, 9870, 29061, 11, 16255, 68, 22619, 10, 26, 39, 10, 26, 41, 34, 37583, 68, 22, 11, 16255, 68, 22619, 10, 26, 39, 10, 26, 41, 34, 37583, 68, 23, 11, 4670, 68, 522, 68, 16255, 34, 668, 11, 47247, 34, 668, 11, 15114, 34, 668, 11, 2225, 1022, 204, 15841, 68, 17704, 289, 388, 3189, 1963, 4659, 2154, 19, 350, 470, 21275, 19, 15515, 19, 2854, 20, 1803, 36, 2120, 1022, 204, 12279, 68, 10830, 6191, 289, 388, 2079, 19, 3766, 7, 204, 13008, 68, 47619, 289, 388, 70, 7, 204, 20704, 68, 47619, 289, 388, 9919, 7, 204, 16212, 68, 47792, 289, 388, 676, 7, 204, 15110, 68, 22710, 68, 47619, 289, 388, 997, 7, 204, 15110, 68, 47619, 289, 388, 1867, 7, 204, 5917, 2313, 289, 388, 7630, 7, 204, 10830, 38, 289, 388, 85, 7, 204, 204, 45227, 68, 20704, 68, 20991, 289, 388, 1803, 18, 2826, 367, 638, 1366, 288, 18, 1778, 7, 204, 45227, 68, 31968, 289, 388, 1803, 18, 2826, 367, 638, 1366, 288, 18, 7682, 7, 204, 45227, 68, 10707, 68, 47619, 289, 368, 204, 45227, 68, 22031, 289, 500, 204, 14679, 1053, 3185, 289, 16180, 547, 35, 38180, 336, 31, 5421, 547, 13718, 204, 19608, 68, 47619, 289, 13487, 547, 850, 1022, 2873, 10091, 14333, 31, 5421, 547, 13954, 204, 24417, 289, 388, 1803, 18, 2826, 367, 638, 1366, 288, 18, 7111, 7, 204, 204, 37, 6611, 204, 676, 20805, 31, 204, 264, 320, 989, 850, 311, 1173, 273, 3397, 1279, 204, 264, 1576, 31, 394, 204, 264, 588, 31, 394, 204, 264, 14334, 31, 394, 204, 264, 5731, 31, 394, 204, 204, 676, 6104, 20965, 31, 204, 264, 320, 20965, 348, 275, 4639, 302, 19477, 40782, 1922, 2154, 1112, 1472, 1279, 204, 615, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 12413, 275, 18272, 1279, 204, 268, 370, 19, 481, 289, 1306, 204, 268, 370, 19, 2225, 289, 368, 204, 268, 370, 19, 1703, 68, 834, 289, 443, 204, 268, 370, 19, 3342, 289, 370, 806, 505, 68, 3342, 374, 204, 204, 264, 436, 906, 505, 68, 3342, 13, 327, 14, 393, 1361, 19, 4387, 31, 204, 268, 320, 5136, 273, 2082, 1014, 1279, 204, 268, 1361, 19, 6065, 13, 204, 305, 2049, 1022, 8236, 20, 24564, 19, 761, 528, 1870, 34, 3247, 19, 5142, 17, 1883, 10730, 8579, 14, 88, 35155, 1454, 14, 88, 534, 204, 268, 407, 1361, 19, 6095, 499, 998, 18, 24564, 431, 204, 204, 264, 436, 636, 68, 2225, 68, 805, 13, 327, 17, 1472, 31, 421, 14, 393, 394, 31, 204, 268, 320, 5136, 275, 1274, 348, 273, 800, 1472, 1279, 204, 268, 407, 283, 1954, 15841, 68, 17704, 68, 3778, 1134, 2225, 2495, 204, 204, 264, 436, 3752, 68, 2225, 68, 2079, 13, 327, 14, 393, 5322, 31, 204, 268, 320, 31049, 275, 2966, 348, 275, 790, 1472, 1279, 204, 268, 314, 6652, 370, 19, 2127, 353, 273, 14025, 7471, 1014, 204, 268, 314, 4546, 440, 1214, 2641, 5581, 204, 268, 314, 370, 19, 2127, 19, 505, 13, 327, 19, 505, 68, 2225, 68, 805, 13, 327, 19, 2225, 602, 204, 268, 314, 407, 5322, 13, 327, 19, 2127, 19, 2225, 68, 3112, 17, 2966, 68, 10830, 6191, 14, 204, 268, 1879, 204, 204, 264, 436, 2252, 13, 327, 14, 393, 443, 31, 204, 268, 320, 19353, 275, 790, 1472, 1279, 204, 268, 5804, 289, 370, 19, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6291, 68, 2225, 68, 2079, 374, 204, 268, 370, 19, 1703, 68, 2225, 13, 11880, 14, 204, 204, 264, 436, 2252, 68, 2225, 13, 327, 17, 5804, 31, 5322, 14, 393, 443, 31, 204, 268, 320, 19353, 273, 800, 1472, 1279, 204, 268, 314, 1752, 830, 3397, 5444, 17, 5713, 424, 17, 329, 1666, 204, 268, 5444, 68, 1867, 289, 5804, 19, 2269, 68, 668, 13, 13008, 68, 47619, 17, 13640, 2508, 16212, 68, 47792, 31, 26472, 11410, 68, 20704, 68, 20991, 1937, 204, 268, 5713, 68, 1867, 289, 5804, 19, 2269, 68, 668, 13, 5917, 2313, 17, 13640, 2508, 16212, 68, 47792, 31, 26472, 11410, 68, 31968, 1937, 204, 268, 1666, 68, 1867, 289, 5804, 19, 2269, 68, 668, 13, 10830, 38, 17, 13640, 2508, 16212, 68, 47792, 31, 27458, 5546, 1937, 204, 822, 268, 314, 1986, 3397, 424, 204, 268, 10446, 289, 370, 19, 5184, 68, 20896, 13, 7037, 68, 1867, 17, 5713, 68, 1867, 17, 1666, 68, 1867, 14, 204, 822, 268, 314, 1198, 329, 5833, 3397, 424, 204, 268, 348, 3397, 292, 10446, 31, 204, 305, 456, 13, 6846, 14, 204, 305, 370, 19, 3674, 68, 6846, 13, 6846, 14, 204, 204, 264, 436, 1967, 68, 20896, 13, 327, 17, 5444, 68, 1867, 31, 783, 17, 5713, 68, 1867, 31, 783, 17, 1666, 68, 1867, 31, 783, 14, 393, 783, 64, 16920, 744, 204, 268, 320, 20710, 3397, 424, 497, 275, 800, 5630, 1279, 204, 268, 10446, 289, 1306, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 7037, 68, 1867, 4019, 204, 305, 1576, 289, 5444, 68, 1867, 64, 78, 1664, 8034, 64, 45227, 68, 10707, 68, 47619, 1664, 505, 68, 492, 374, 204, 305, 588, 289, 5444, 68, 1867, 64, 78, 1664, 8034, 64, 45227, 68, 22031, 66, 204, 305, 14334, 289, 5713, 68, 1867, 64, 78, 1664, 8034, 64, 22, 66, 397, 5713, 68, 1867, 64, 78, 66, 902, 388, 2204, 33261, 336, 7, 204, 305, 5731, 289, 1666, 68, 1867, 64, 78, 1664, 505, 68, 492, 374, 204, 305, 10446, 19, 1223, 13, 16920, 13, 1181, 17, 588, 17, 14334, 17, 5731, 602, 204, 268, 407, 10446, 204, 204, 264, 436, 5833, 68, 6846, 13, 327, 17, 3397, 31, 20805, 14, 393, 443, 31, 204, 268, 320, 11625, 273, 3397, 1025, 273, 2084, 955, 329, 2281, 490, 311, 273, 510, 1279, 204, 268, 1875, 68, 873, 289, 370, 19, 25264, 68, 1775, 13, 6846, 14, 204, 268, 370, 19, 2206, 68, 1775, 13, 6846, 19, 1181, 17, 1875, 68, 873, 14, 204, 204, 264, 436, 16836, 68, 1775, 13, 327, 17, 3397, 31, 20805, 14, 393, 1061, 31, 204, 268, 320, 17566, 3432, 273, 2084, 955, 440, 3397, 424, 1279, 204, 268, 1875, 68, 873, 289, 2087, 204, 268, 810, 31, 204, 305, 440, 1451, 13, 75, 7, 481, 4235, 6846, 19, 1181, 3572, 1775, 528, 388, 87, 431, 448, 283, 31, 204, 485, 1875, 68, 873, 289, 1875, 19, 986, 13, 75, 14, 204, 268, 827, 3180, 31, 204, 305, 1879, 204, 268, 827, 1875, 19, 10816, 448, 318, 31, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 6673, 2084, 31, 463, 74, 743, 204, 268, 810, 31, 204, 305, 1875, 68, 873, 1166, 1181, 1339, 289, 3397, 19, 1181, 204, 305, 1875, 68, 873, 1166, 417, 1339, 289, 3397, 19, 417, 204, 305, 1875, 68, 873, 1166, 8968, 1339, 289, 3397, 19, 8968, 204, 305, 1875, 68, 873, 1166, 20505, 1339, 289, 3397, 19, 20505, 204, 305, 407, 1875, 68, 873, 204, 268, 827, 3660, 448, 318, 31, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 4141, 2084, 31, 463, 74, 743, 204, 305, 407, 2832, 28163, 68, 10830, 1599, 559, 388, 20546, 9060, 11383, 21060, 412, 30022, 3884, 56, 6669, 204, 204, 264, 436, 2281, 68, 1775, 13, 327, 17, 1576, 31, 394, 17, 1875, 68, 873, 31, 1061, 14, 393, 443, 31, 204, 268, 320, 15406, 273, 2084, 955, 311, 273, 510, 1279, 204, 268, 440, 1451, 13, 75, 7, 9870, 6164, 68, 20896, 4235, 1181, 3572, 1775, 528, 388, 92, 431, 448, 283, 31, 204, 305, 1875, 19, 4573, 13, 1775, 68, 873, 17, 283, 14, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 6552, 275, 18272, 1279, 204, 268, 1335, 370, 19, 360, 68, 10227, 68, 805, 13, 327, 19, 505, 68, 2225, 68, 805, 13, 327, 19, 2225, 4019, 204, 305, 370, 19, 1703, 374, 204, 305, 370, 19, 2225, 1412, 368, 204, 268, 314, 6652, 370, 19, 2127, 353, 273, 14025, 7471, 1014, 204, 268, 314, 4546, 440, 1214, 2641, 5581, 204, 268, 314, 370, 19, 2127, 19, 8289, 374, 204, 204, 264, 436, 353, 68, 10227, 68, 805, 13, 327, 17, 1779, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 5995, 397, 273, 1274, 353, 1097, 1279, 204, 268, 314, 4546, 440, 1214, 2641, 5581, 204, 268, 1879, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 18272, 289, 6104, 20965, 374, 204, 264, 18272, 19, 1777, 374, 204, 0, 33460, 31, 20715, 273, 3542, 6058, 570, 440, 30165, 9087, 204, 204, 94, 289, 1504, 16829, 465, 16128, 17, 16128, 12351, 392, 13, 21, 17, 12194, 67, 23, 628, 14, 204, 204, 416, 2506, 19932, 974, 9977, 3406, 5537, 19, 5512, 17, 275, 10699, 1066, 302, 5537, 16128, 32428, 67, 57, 16128, 32428, 17, 6167, 560, 275, 3597, 908, 6951, 12194, 67, 23, 17, 6353, 273, 17310, 18, 8899, 3272, 440, 300, 18, 85, 4528, 302, 11110, 204, 204, 19251, 32428, 67, 57, 16128, 32428, 802, 12194, 67, 23, 12351, 5775, 235, 67, 23, 13, 83, 18, 85, 14, 204, 204, 3663, 300, 329, 284, 529, 275, 5150, 302, 275, 300, 610, 284, 3440, 1525, 1504, 19, 204, 204, 23886, 31, 204, 204, 22, 19, 10134, 275, 6058, 570, 974, 273, 2415, 1525, 595, 17, 1702, 496, 595, 628, 595, 67, 57, 289, 382, 68, 83, 19, 204, 23, 19, 21180, 18, 12651, 275, 6058, 570, 440, 595, 311, 5961, 28689, 289, 595, 61, 16829, 465, 595, 19251, 17, 595, 19251, 12351, 392, 13, 21, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17, 12194, 67, 23, 595, 628, 595, 67, 57, 14, 289, 392, 13, 21, 17, 12194, 67, 23, 382, 68, 83, 789, 204, 24, 19, 32357, 275, 570, 448, 469, 142, 231, 289, 1504, 142, 231, 16829, 465, 16128, 142, 231, 17, 16128, 142, 231, 12351, 392, 13, 21, 17, 12194, 67, 23, 382, 68, 83, 659, 1273, 469, 142, 231, 289, 28689, 17, 1504, 142, 231, 289, 595, 61, 17, 329, 16128, 142, 231, 289, 595, 19251, 19, 204, 25, 19, 3291, 1212, 366, 3084, 677, 7815, 17, 928, 3584, 496, 348, 273, 2519, 1400, 2450, 610, 12351, 392, 13, 14277, 17, 12194, 67, 23, 382, 68, 83, 659, 275, 6884, 798, 610, 67, 57, 332, 610, 802, 12194, 67, 23, 6353, 273, 1950, 18, 11789, 17310, 18, 8899, 3272, 19, 204, 26, 19, 4385, 3432, 275, 23471, 292, 3099, 302, 7834, 10624, 469, 142, 231, 31, 16128, 32428, 289, 469, 142, 231, 338, 1504, 142, 231, 16829, 32428, 289, 322, 46, 68, 83, 338, 415, 142, 231, 14, 94, 142, 231, 17, 1273, 415, 142, 231, 289, 1504, 142, 231, 13, 61, 142, 231, 67, 57, 1504, 142, 231, 38088, 22, 1504, 142, 231, 67, 57, 19, 204, 27, 19, 20077, 275, 10699, 1066, 302, 5537, 448, 273, 6884, 798, 31, 16128, 32428, 67, 57, 16128, 32428, 802, 12194, 67, 23, 289, 469, 142, 231, 67, 57, 361, 469, 142, 231, 802, 12194, 67, 23, 17, 1273, 361, 289, 382, 68, 83, 338, 415, 142, 231, 19, 204, 28, 19, 3291, 1212, 366, 3084, 677, 7815, 311, 5961, 275, 3272, 302, 16128, 32428, 67, 57, 16128, 32428, 802, 12194, 67, 23, 17, 928, 353, 273, 17310, 18, 8899, 3272, 440, 300, 18, 85, 4528, 302, 11110, 19, 204, 204, 5725, 31, 204, 204, 19251, 32428, 67, 57, 16128, 32428, 802, 12194, 67, 23, 12351, 5775, 235, 67, 23, 13, 83, 18, 85, 14, 0, 647, 3363, 204, 647, 1127, 204, 647, 2454, 204, 204, 8, 4861, 204, 15748, 68, 6559, 17, 27596, 68, 7645, 289, 26507, 17, 26507, 204, 47744, 68, 2328, 4755, 11655, 289, 1199, 204, 204, 8, 1385, 2388, 204, 461, 1137, 68, 935, 13, 546, 31, 394, 14, 393, 3363, 19, 8939, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 275, 1713, 832, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 3363, 19, 8939, 31, 334, 3271, 752, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 407, 3363, 19, 935, 19, 986, 13, 865, 19, 546, 19, 1541, 499, 15375, 528, 832, 602, 204, 264, 827, 3363, 19, 718, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4644, 752, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 8, 1385, 8158, 329, 16127, 2388, 204, 47744, 68, 31649, 289, 463, 204, 264, 379, 747, 597, 1137, 68, 935, 499, 10425, 68, 6265, 68, 747, 68, 11968, 19, 4955, 3186, 204, 264, 379, 6267, 597, 1137, 68, 935, 499, 10425, 68, 6265, 68, 6267, 68, 11968, 19, 4955, 3186, 204, 264, 379, 9378, 597, 1137, 68, 935, 499, 10425, 68, 6265, 68, 9378, 68, 11968, 19, 4955, 3186, 204, 264, 379, 17903, 597, 1137, 68, 935, 499, 10425, 68, 6265, 68, 17903, 19, 4955, 431, 204, 98, 204, 204, 49, 3845, 1053, 68, 31649, 289, 463, 204, 264, 379, 747, 597, 1137, 68, 935, 499, 10425, 68, 34769, 68, 747, 19, 4955, 3186, 204, 264, 379, 6267, 597, 1137, 68, 935, 499, 10425, 68, 34769, 68, 6267, 19, 4955, 3186, 204, 264, 379, 9378, 597, 1137, 68, 935, 499, 10425, 68, 34769, 68, 9378, 19, 4955, 3186, 204, 264, 379, 17903, 597, 1137, 68, 935, 499, 10425, 68, 34769, 68, 17903, 19, 4955, 431, 204, 98, 204, 204, 676, 45656, 31, 204, 264, 320, 3295, 850, 348, 1470, 2828, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 3840, 31, 3363, 19, 8939, 330, 204, 268, 320, 12413, 273, 1470, 726, 440, 275, 1713, 1502, 329, 752, 1279, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 268, 370, 19, 3371, 289, 3840, 204, 268, 370, 19, 3497, 289, 3363, 19, 3497, 19, 531, 68, 10836, 13, 327, 19, 3371, 14, 204, 204, 264, 436, 2790, 13, 327, 17, 2158, 31, 3363, 19, 8939, 330, 204, 268, 320, 11546, 275, 1470, 726, 523, 275, 1713, 2158, 1279, 204, 268, 2158, 19, 15709, 13, 327, 19, 3371, 17, 322, 327, 19, 93, 17, 370, 19, 94, 602, 204, 204, 676, 25903, 13, 44431, 330, 204, 264, 320, 3295, 850, 348, 16529, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 3840, 31, 3363, 19, 8939, 17, 16127, 68, 3371, 31, 3363, 19, 8939, 17, 2667, 31, 421, 289, 1607, 330, 204, 268, 320, 12413, 273, 8158, 440, 275, 1713, 1502, 17, 752, 17, 16127, 752, 17, 329, 2667, 1279, 204, 268, 2234, 3853, 924, 889, 93, 17, 469, 17, 3840, 14, 204, 268, 370, 19, 34769, 68, 3371, 289, 16127, 68, 3371, 204, 268, 370, 19, 8574, 289, 2667, 204, 268, 370, 19, 1253, 375, 289, 1306, 204, 268, 370, 19, 26665, 68, 2974, 68, 5951, 289, 500, 204, 204, 264, 436, 2284, 68, 1253, 375, 13, 327, 17, 30828, 31, 421, 17, 5026, 88, 330, 204, 268, 320, 16067, 275, 25029, 375, 329, 1356, 348, 19986, 1279, 204, 268, 370, 19, 395, 32351, 374, 204, 268, 348, 16127, 292, 370, 19, 1253, 375, 31, 204, 305, 16127, 19, 1766, 13, 1057, 14, 204, 305, 397, 16127, 19, 3008, 68, 5321, 13, 15748, 68, 7645, 330, 204, 485, 370, 19, 1253, 375, 19, 3956, 13, 34769, 14, 204, 305, 902, 31, 204, 485, 348, 5026, 292, 5026, 88, 31, 204, 895, 397, 16127, 19, 20789, 13, 3470, 330, 204, 2058, 5026, 88, 19, 3956, 13, 3470, 14, 204, 2058, 397, 16127, 292, 370, 19, 1253, 375, 31, 204, 4511, 370, 19, 1253, 375, 19, 3956, 13, 34769, 14, 204, 204, 264, 436, 636, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 68, 2435, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 2198, 302, 275, 8158, 1279, 204, 268, 407, 370, 19, 3371, 19, 505, 68, 2435, 374, 204, 204, 264, 436, 636, 68, 2757, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 1853, 302, 275, 8158, 1279, 204, 268, 407, 370, 19, 3371, 19, 505, 68, 2757, 374, 204, 204, 264, 436, 16483, 13, 327, 330, 204, 268, 320, 4872, 3890, 273, 16127, 1279, 204, 268, 397, 370, 19, 26665, 68, 2974, 68, 5951, 564, 500, 31, 204, 305, 16127, 289, 39222, 13, 327, 19, 93, 17, 370, 19, 94, 17, 370, 19, 34769, 68, 3371, 14, 204, 305, 370, 19, 1253, 375, 19, 1223, 13, 34769, 14, 204, 305, 370, 19, 26665, 68, 2974, 68, 5951, 289, 368, 204, 204, 264, 436, 48191, 13, 327, 330, 204, 268, 320, 2567, 32351, 275, 8158, 677, 16127, 1279, 204, 268, 397, 370, 19, 26665, 68, 2974, 68, 5951, 3721, 24230, 6003, 68, 2328, 4755, 11655, 31, 204, 305, 370, 19, 26665, 68, 2974, 68, 5951, 289, 500, 204, 268, 1677, 370, 19, 26665, 68, 2974, 68, 5951, 1323, 500, 31, 204, 305, 370, 19, 26665, 68, 2974, 68, 5951, 1412, 368, 204, 204, 676, 8496, 13, 32708, 330, 204, 264, 320, 8067, 8158, 850, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 2667, 31, 421, 289, 1607, 330, 204, 268, 320, 12413, 273, 2061, 8158, 440, 275, 1713, 1502, 329, 2667, 1279, 204, 268, 2234, 3853, 924, 889, 93, 17, 469, 17, 24230, 6003, 68, 31649, 736, 17903, 2043, 480, 3845, 1053, 68, 31649, 736, 17903, 2043, 2667, 14, 204, 268, 370, 19, 1129, 68, 8574, 289, 370, 19, 8574, 204, 204, 264, 436, 2667, 3520, 13, 327, 17, 2158, 31, 3363, 19, 8939, 330, 204, 268, 320, 11546, 275, 2061, 677, 2667, 4184, 1279, 204, 268, 3363, 19, 3320, 19, 966, 13, 2997, 17, 322, 4808, 17, 500, 17, 500, 659, 322, 327, 19, 93, 17, 370, 19, 94, 465, 370, 19, 3371, 19, 505, 68, 2757, 374, 465, 931, 17, 370, 19, 3371, 19, 505, 68, 2435, 2144, 931, 602, 204, 268, 3363, 19, 3320, 19, 966, 13, 2997, 17, 322, 21, 17, 4580, 17, 500, 659, 322, 327, 19, 93, 17, 370, 19, 94, 465, 370, 19, 3371, 19, 505, 68, 2757, 374, 465, 931, 17, 370, 19, 3371, 19, 505, 68, 2435, 374, 540, 322, 327, 19, 8574, 802, 370, 19, 1129, 68, 8574, 659, 931, 602, 204, 204, 264, 436, 2790, 13, 327, 17, 2158, 31, 3363, 19, 8939, 330, 204, 268, 320, 11546, 275, 2061, 8158, 1279, 204, 268, 2234, 1528, 3320, 13, 2997, 14, 204, 268, 370, 19, 8574, 3520, 13, 2997, 14, 204, 204, 676, 35716, 13, 32708, 330, 204, 264, 320, 45204, 8158, 850, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1848, 31, 394, 17, 2667, 31, 421, 289, 1607, 330, 204, 268, 320, 12413, 437, 8821, 8158, 440, 275, 1713, 1502, 17, 1848, 17, 329, 2667, 1279, 204, 268, 2234, 3853, 924, 889, 93, 17, 469, 17, 24230, 6003, 68, 31649, 64, 2640, 648, 480, 3845, 1053, 68, 31649, 64, 2640, 648, 2667, 14, 204, 204, 264, 436, 2284, 13, 327, 17, 30828, 31, 421, 330, 204, 268, 320, 16067, 275, 8821, 8158, 1279, 204, 268, 370, 19, 94, 1412, 30828, 204, 204, 264, 436, 16483, 13, 327, 330, 204, 268, 320, 4872, 3890, 273, 16127, 1279, 204, 268, 397, 370, 19, 26665, 68, 2974, 68, 5951, 564, 500, 31, 204, 305, 16127, 289, 39222, 13, 327, 19, 93, 338, 370, 19, 505, 68, 2435, 374, 3166, 435, 17, 370, 19, 94, 17, 370, 19, 34769, 68, 3371, 14, 204, 305, 370, 19, 1253, 375, 19, 1223, 13, 34769, 14, 204, 305, 370, 19, 26665, 68, 2974, 68, 5951, 289, 368, 204, 204, 676, 39222, 13, 44431, 330, 204, 264, 320, 49, 12388, 850, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 3840, 31, 3363, 19, 8939, 330, 204, 268, 320, 12413, 273, 16127, 440, 275, 1713, 1502, 329, 752, 1279, 204, 268, 2234, 3853, 924, 889, 93, 17, 469, 17, 3840, 14, 204, 204, 264, 436, 2284, 13, 327, 17, 30828, 31, 421, 330, 204, 268, 320, 16067, 275, 16127, 1279, 204, 268, 370, 19, 94, 1412, 30828, 204, 204, 264, 436, 2258, 68, 5321, 13, 327, 17, 1853, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 5995, 397, 275, 16127, 353, 2258, 275, 3645, 1279, 204, 268, 407, 508, 322, 327, 19, 94, 2186, 1853, 329, 370, 19, 94, 3721, 500, 14, 204, 204, 264, 436, 11478, 13, 327, 17, 5026, 330, 204, 268, 320, 5995, 348, 11478, 440, 275, 1713, 726, 1279, 204, 268, 407, 40255, 13, 327, 17, 5026, 14, 204, 204, 461, 40255, 13, 3470, 22, 17, 5026, 23, 330, 204, 264, 320, 5995, 348, 11478, 1283, 970, 2828, 1279, 204, 264, 5165, 68, 93, 289, 5026, 23, 19, 93, 338, 5026, 22, 19, 93, 204, 264, 5165, 68, 94, 289, 5026, 23, 19, 94, 338, 5026, 22, 19, 94, 204, 264, 407, 5026, 22, 19, 3497, 19, 20944, 13, 3470, 23, 19, 3497, 17, 322, 5911, 68, 93, 17, 5165, 68, 94, 602, 353, 508, 443, 204, 204, 461, 667, 1293, 204, 264, 3363, 19, 924, 374, 204, 264, 2158, 289, 3363, 19, 2994, 19, 574, 68, 3607, 1802, 15748, 68, 6559, 17, 27596, 68, 7645, 602, 204, 264, 6988, 289, 3363, 19, 834, 19, 16271, 374, 204, 204, 264, 2061, 289, 8496, 13, 15748, 68, 6559, 3166, 435, 17, 27596, 68, 7645, 338, 1607, 14, 204, 264, 19428, 289, 551, 45204, 13, 2051, 17, 1607, 17, 379, 747, 2008, 35716, 13, 7077, 17, 1607, 17, 379, 6267, 2008, 35716, 13, 4589, 17, 1607, 17, 379, 9378, 10116, 204, 204, 264, 4436, 289, 959, 204, 264, 1335, 4436, 31, 204, 268, 6988, 19, 5355, 13, 2682, 14, 204, 268, 348, 1643, 292, 3363, 19, 2977, 19, 505, 1293, 204, 305, 397, 1643, 19, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 932, 564, 3363, 19, 18210, 31, 204, 485, 4436, 289, 1078, 204, 305, 397, 1643, 19, 932, 564, 3363, 19, 34439, 31, 204, 485, 397, 1643, 19, 644, 564, 3363, 19, 48, 68, 18803, 31, 204, 895, 2061, 19, 36090, 374, 204, 204, 268, 3583, 289, 3363, 19, 644, 19, 505, 68, 20338, 374, 204, 268, 397, 3583, 64, 9346, 19, 48, 68, 12842, 744, 204, 305, 2061, 19, 93, 4922, 720, 204, 268, 397, 3583, 64, 9346, 19, 48, 68, 13544, 744, 204, 305, 2061, 19, 93, 1412, 720, 204, 204, 268, 2158, 19, 5716, 1802, 21, 17, 500, 17, 500, 602, 204, 204, 268, 2061, 19, 1766, 68, 1253, 375, 13, 26, 17, 19428, 14, 204, 268, 348, 8821, 292, 19428, 31, 204, 305, 8821, 19, 1766, 13, 23, 14, 204, 305, 8821, 19, 1766, 68, 1253, 375, 2422, 26, 17, 551, 3280, 694, 204, 305, 8821, 19, 3320, 13, 2997, 14, 204, 204, 268, 2061, 19, 3320, 13, 2997, 14, 204, 204, 268, 3363, 19, 2994, 19, 2045, 374, 204, 204, 264, 3363, 19, 8289, 374, 204, 264, 2454, 19, 4555, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 28063, 3386, 16098, 29770, 592, 4381, 447, 204, 204, 4377, 970, 2350, 5302, 1743, 5968, 96, 91, 1617, 329, 1743, 5968, 96, 92, 7078, 275, 5210, 353, 311, 5363, 275, 5657, 1283, 1743, 5968, 96, 91, 1617, 329, 1743, 5968, 96, 92, 1617, 329, 3120, 496, 1729, 5657, 311, 273, 2450, 1743, 5968, 96, 93, 4742, 204, 204, 3661, 1743, 5968, 96, 91, 7078, 1743, 5968, 96, 92, 7078, 329, 1743, 5968, 96, 93, 1617, 444, 2350, 5302, 19, 334, 22713, 2355, 302, 1743, 5968, 96, 93, 1617, 353, 1743, 7270, 96, 93, 98, 289, 322, 21, 465, 610, 68, 22, 78, 465, 610, 68, 23, 79, 465, 610, 68, 24, 80, 7891, 204, 204, 673, 3214, 311, 5363, 275, 5657, 529, 448, 6353, 31, 204, 204, 22, 19, 3963, 275, 2350, 2450, 1743, 5968, 96, 90, 7078, 928, 353, 275, 3138, 302, 5657, 31, 204, 4292, 5968, 96, 90, 98, 289, 688, 1209, 3164, 5968, 96, 91, 98, 688, 2760, 688, 5968, 96, 92, 16443, 81, 29521, 688, 5968, 96, 91, 98, 688, 2760, 688, 5968, 96, 92, 98, 688, 87, 29521, 1617, 204, 204, 23, 19, 3963, 275, 2746, 302, 5657, 1743, 3907, 13137, 204, 4292, 3907, 289, 688, 13202, 2809, 3453, 5968, 96, 91, 98, 688, 4423, 688, 5968, 96, 92, 20677, 204, 204, 24, 19, 3963, 275, 22713, 1743, 7270, 96, 86, 1617, 2457, 275, 5657, 31, 204, 48815, 7270, 3259, 98, 289, 688, 2809, 3453, 3907, 802, 435, 14, 465, 12823, 7270, 2787, 98, 688, 4423, 688, 2883, 3453, 3907, 20, 23, 3920, 204, 204, 25, 19, 3963, 275, 6276, 22713, 1743, 7270, 96, 86, 5373, 22, 10512, 31, 204, 48815, 7270, 3259, 5373, 22, 3734, 289, 688, 2809, 3453, 3907, 802, 435, 14, 338, 12823, 7270, 2787, 98, 688, 4423, 688, 2883, 3453, 3907, 20, 23, 3920, 204, 204, 673, 11780, 2450, 1743, 5968, 96, 93, 12, 1617, 353, 14406, 9271, 22713, 6177, 31, 204, 48815, 7270, 610, 6241, 289, 12823, 7270, 3259, 93, 86, 5373, 22, 10512, 204, 204, 4237, 17, 275, 17455, 496, 1743, 5968, 96, 93, 98, 688, 4423, 688, 5968, 96, 93, 6241, 289, 688, 5968, 96, 91, 98, 688, 4423, 688, 5968, 96, 92, 1617, 353, 1698, 3597, 1330, 1743, 5968, 96, 93, 1617, 353, 401, 4218, 290, 440, 1743, 5968, 96, 91, 1617, 329, 1743, 5968, 96, 92, 1617, 322, 416, 275, 5576, 789, 828, 1743, 5968, 96, 93, 1617, 353, 508, 292, 808, 6258, 17, 1675, 275, 2746, 1283, 490, 329, 1163, 752, 1877, 5657, 1120, 444, 2202, 1194, 275, 2746, 1283, 1743, 5968, 96, 91, 1617, 329, 1743, 5968, 96, 92, 4742, 204, 204, 1834, 353, 2404, 273, 5657, 13562, 1698, 523, 275, 4781, 302, 273, 2450, 496, 884, 88, 20762, 311, 275, 5657, 3138, 19, 334, 2746, 1283, 1743, 5968, 96, 93, 1617, 329, 1743, 5968, 96, 93, 12, 1617, 353, 9140, 292, 275, 6258, 4310, 560, 1475, 329, 275, 5576, 17, 928, 618, 444, 1792, 497, 275, 2746, 1283, 1017, 27108, 7883, 273, 6258, 10066, 311, 275, 5657, 3138, 19, 204, 204, 3070, 1763, 17, 397, 1743, 5968, 96, 93, 98, 289, 688, 5968, 96, 90, 7078, 1675, 2589, 5657, 1465, 1743, 5968, 96, 90, 1617, 8417, 490, 6768, 17, 754, 275, 2746, 1283, 1743, 5968, 96, 93, 1617, 329, 1743, 5968, 96, 93, 12, 1617, 353, 2962, 16527, 302, 275, 5657, 2746, 19, 6263, 17, 275, 6572, 1743, 5968, 96, 93, 98, 688, 4423, 688, 5968, 96, 93, 6241, 289, 688, 5968, 96, 91, 98, 688, 4423, 688, 5968, 96, 92, 1617, 1583, 508, 5148, 292, 4303, 19, 0, 658, 47126, 974, 275, 5649, 4090, 204, 204, 1449, 1020, 275, 5442, 302, 4728, 357, 13, 93, 14, 289, 318, 1881, 93, 1881, 23, 8172, 93, 98, 30646, 572, 3120, 275, 5649, 4090, 19, 334, 5649, 4090, 3584, 496, 397, 4728, 357, 13, 93, 14, 289, 283, 13, 90, 14, 14831, 329, 4728, 2787, 289, 2787, 13, 93, 14, 30646, 1675, 4728, 357, 5822, 93, 14, 289, 283, 5822, 90, 14, 688, 4423, 2787, 5822, 93, 14, 36290, 204, 204, 5399, 17, 4728, 283, 13, 90, 14, 289, 318, 1881, 90, 98, 14831, 329, 4728, 2787, 289, 610, 1881, 23, 98, 338, 610, 36290, 204, 204, 5834, 17, 1020, 4728, 283, 5822, 90, 14, 14831, 329, 4728, 2787, 5822, 93, 14, 688, 330, 204, 18, 4728, 283, 5822, 90, 14, 289, 318, 1881, 90, 98, 14831, 2404, 275, 5442, 302, 4728, 318, 1881, 90, 98, 14831, 440, 4130, 311, 4728, 2787, 14831, 353, 4728, 318, 1881, 90, 98, 36290, 204, 18, 4728, 2787, 5822, 93, 14, 289, 322, 93, 1881, 23, 98, 338, 610, 15795, 289, 435, 93, 338, 368, 30646, 974, 275, 2347, 4090, 348, 21096, 19, 204, 204, 9538, 17, 3120, 275, 5649, 4090, 31, 204, 5965, 357, 5822, 93, 14, 289, 283, 5822, 90, 14, 688, 4423, 2787, 5822, 93, 14, 289, 318, 1881, 90, 98, 688, 4423, 322, 23, 93, 338, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 368, 14, 8722, 204, 18106, 1818, 4728, 2787, 289, 610, 1881, 23, 98, 338, 610, 688, 330, 204, 5965, 357, 5822, 93, 14, 289, 318, 1881, 93, 1881, 23, 8172, 93, 98, 688, 4423, 322, 23, 93, 338, 368, 14, 8722, 204, 5965, 357, 5822, 93, 14, 289, 322, 74, 1881, 93, 1881, 23, 8172, 93, 39556, 23, 93, 338, 368, 14, 8722, 204, 204, 4356, 17, 275, 5442, 4728, 357, 5822, 93, 14, 14831, 302, 4728, 357, 13, 93, 14, 289, 318, 1881, 93, 1881, 23, 8172, 93, 98, 14831, 353, 4728, 322, 74, 1881, 93, 1881, 23, 8172, 93, 39556, 23, 93, 338, 368, 14, 36290, 0, 658, 1687, 368, 31, 7173, 275, 392, 26040, 18, 12607, 3934, 1581, 348, 292, 21276, 1313, 25208, 204, 673, 392, 26040, 18, 12607, 3934, 1581, 348, 292, 21276, 1313, 25208, 353, 800, 560, 1743, 13474, 688, 1209, 3164, 7120, 12823, 9782, 96, 90, 3734, 4773, 7120, 463, 89, 3734, 465, 688, 13474, 11407, 9782, 96, 90, 98, 688, 4423, 688, 29580, 3164, 25445, 1937, 688, 9782, 96, 90, 98, 289, 338, 688, 29580, 3164, 25445, 98, 284, 465, 688, 7311, 688, 29580, 3164, 25445, 8611, 23, 688, 9782, 96, 90, 98, 465, 688, 13474, 688, 9782, 96, 75, 7078, 1273, 1743, 13474, 9, 353, 275, 10142, 6096, 17, 1743, 9782, 96, 90, 1617, 353, 275, 10142, 3581, 17, 686, 85, 9, 353, 275, 10142, 4815, 17, 1743, 7311, 9, 353, 275, 8175, 32769, 17, 329, 1743, 9782, 96, 75, 1617, 353, 275, 2484, 2955, 841, 2350, 3284, 19, 204, 204, 658, 1687, 435, 31, 3291, 275, 800, 4042, 311, 5620, 275, 392, 26040, 18, 12607, 3934, 1581, 204, 4377, 496, 275, 3714, 353, 21248, 329, 292, 21276, 1313, 17, 572, 874, 1743, 1209, 3164, 7120, 12823, 9782, 96, 90, 3734, 4773, 7120, 463, 89, 3734, 289, 500, 9, 329, 1743, 29580, 3164, 25445, 98, 688, 4423, 688, 9782, 96, 90, 98, 289, 500, 2176, 5424, 275, 3714, 2545, 794, 359, 21695, 17, 1743, 9782, 96, 90, 98, 289, 688, 1539, 3164, 9782, 96, 93, 3734, 2787, 13, 94, 17, 1264, 9852, 329, 275, 18538, 302, 2484, 6971, 17, 275, 392, 26040, 18, 12607, 3934, 1581, 11388, 311, 686, 21, 289, 338, 688, 29580, 3164, 25445, 98, 284, 465, 688, 7311, 688, 29580, 3164, 25445, 8611, 23, 688, 9782, 96, 90, 4742, 204, 204, 658, 1687, 571, 31, 6597, 348, 275, 4815, 329, 3581, 3272, 204, 3070, 275, 1322, 302, 21248, 292, 21276, 1313, 3193, 22648, 3714, 17, 572, 1020, 496, 275, 4815, 353, 3542, 440, 1502, 17, 686, 85, 289, 332, 610, 465, 565, 2176, 334, 3581, 3272, 348, 2268, 4498, 3714, 353, 800, 560, 686, 90, 289, 688, 1209, 96, 58, 1134, 77, 98, 469, 2543, 329, 348, 3906, 3714, 17, 490, 353, 686, 90, 289, 688, 1209, 96, 44, 1134, 23, 688, 7311, 98, 688, 14813, 81, 13, 373, 67, 23, 338, 469, 67, 23, 688, 14813, 87, 9852, 1273, 686, 44, 289, 338, 688, 1209, 96, 10056, 1134, 4928, 4742, 204, 204, 658, 1687, 681, 31, 888, 275, 16893, 329, 7443, 10013, 204, 673, 16893, 2162, 4550, 529, 686, 74, 1859, 1258, 98, 289, 318, 1859, 3699, 98, 289, 688, 1209, 96, 22, 33269, 23, 3734, 688, 1735, 13, 688, 1209, 3164, 7120, 463, 90, 16443, 7120, 463, 94, 3734, 688, 1633, 14, 289, 338, 688, 1209, 96, 44, 469, 1134, 23, 688, 7311, 7078, 686, 74, 1859, 1641, 98, 289, 688, 1209, 3164, 7120, 463, 90, 16443, 7120, 463, 93, 3734, 289, 500, 2543, 329, 686, 74, 1859, 2898, 98, 289, 688, 1209, 3164, 7120, 463, 91, 16443, 7120, 463, 94, 3734, 289, 500, 2176, 334, 7443, 2162, 4781, 1743, 8456, 1859, 1258, 98, 289, 435, 688, 7311, 318, 1859, 1258, 98, 289, 338, 44, 469, 2176, 204, 204, 658, 1687, 720, 31, 4347, 275, 1272, 380, 2450, 329, 2955, 523, 275, 7086, 15220, 302, 275, 15001, 204, 673, 1272, 380, 2450, 630, 686, 94, 289, 373, 9, 353, 686, 57, 68, 78, 289, 688, 8456, 1859, 78, 435, 98, 12823, 1735, 19, 10702, 83, 68, 23, 13982, 1633, 65, 1039, 7449, 96, 94, 289, 373, 3734, 289, 501, 373, 2543, 329, 275, 1113, 2955, 353, 1743, 339, 68, 21, 67, 49, 472, 68, 93, 4992, 289, 465, 501, 373, 480, 2176, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 44, 373, 480, 1617, 0, 531, 23745, 532, 1137, 68, 14941, 204, 204, 461, 1137, 68, 9671, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 5984, 437, 6057, 510, 329, 2584, 275, 9752, 329, 6087, 1987, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 9752, 329, 6087, 1987, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 9752, 497, 275, 800, 510, 832, 204, 268, 9752, 289, 1137, 68, 14941, 13, 553, 68, 546, 14, 204, 268, 314, 763, 275, 6087, 1987, 497, 275, 9752, 204, 268, 6087, 68, 2199, 289, 9752, 19, 4803, 2199, 204, 268, 407, 9752, 17, 6087, 68, 2199, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 596, 31, 2462, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 443, 17, 443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4644, 6057, 510, 31, 463, 74, 743, 204, 268, 407, 443, 17, 443, 204, 204, 461, 456, 68, 4803, 68, 1309, 13, 14941, 17, 6087, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1019, 302, 273, 2824, 6087, 292, 275, 9752, 19, 204, 204, 264, 457, 31, 204, 268, 9752, 31, 334, 6057, 9752, 19, 204, 268, 6087, 68, 417, 322, 325, 330, 334, 588, 302, 275, 6087, 311, 456, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6087, 497, 275, 9752, 204, 264, 6087, 289, 9752, 64, 4803, 68, 417, 66, 204, 264, 314, 1861, 1048, 275, 3015, 292, 275, 6087, 329, 456, 275, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]