samihormi/Hllama3.1_8b_instruct_MU_RedPajama-Data-1T_reservoir_eng_tokenized_random

input_ids sequencelengths 2.05k 2.05k	attention_mask sequencelengths 2.05k 2.05k	labels sequencelengths 2.05k 2.05k
[ 128000, 59, 2879, 90, 38255, 534, 10267, 400, 38, 3, 387, 264, 4382, 2073, 75712, 4876, 449, 279, 1144, 1342, 275, 90, 12356, 743, 92, 400, 53, 6838, 15437, 323, 279, 1144, 1342, 275, 90, 7334, 743, 92, 400, 36, 6838, 8, 13244, 362, 12202, 449, 8547, 832, 374, 2663, 264, 1144, 1342, 275, 90, 3825, 519, 12202, 7966, 578, 6138, 1990, 279, 17672, 400, 84, 3, 323, 400, 85, 3, 304, 4876, 400, 38, 3, 374, 3453, 9437, 555, 400, 67, 2712, 8317, 14605, 8, 13244, 362, 11008, 400, 34, 3, 374, 2663, 1144, 1342, 275, 90, 331, 541, 1752, 92, 422, 400, 34, 3, 706, 912, 1144, 1342, 275, 90, 22352, 44321, 92, 320, 9210, 374, 459, 6964, 539, 304, 279, 6964, 743, 315, 400, 34, 3, 6832, 37442, 10457, 389, 279, 17672, 315, 400, 34, 3, 4390, 791, 1144, 1342, 275, 90, 1451, 24921, 1207, 4539, 92, 389, 12202, 743, 400, 50, 3, 374, 3453, 9437, 555, 59060, 71900, 328, 12285, 4134, 13244, 362, 1853, 430, 8638, 304, 400, 85, 3, 323, 10548, 304, 400, 84, 3, 374, 3453, 9437, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 577, 32816, 627, 32, 1144, 1342, 275, 90, 15417, 481, 92, 4876, 374, 264, 4876, 430, 50326, 264, 24051, 1122, 1853, 627, 644, 264, 4876, 400, 38, 55976, 584, 2019, 430, 264, 11008, 400, 34, 3, 374, 1144, 1342, 275, 90, 10365, 555, 279, 1853, 92, 400, 48, 3, 422, 400, 765, 469, 3100, 8, 1144, 751, 39465, 469, 6386, 8, 765, 284, 220, 16, 8842, 2100, 1475, 12202, 315, 400, 34, 3, 17623, 311, 400, 53, 6386, 15437, 382, 644, 220, 679, 16, 279, 2768, 87015, 554, 574, 11223, 512, 59, 7413, 90, 444, 585, 554, 26628, 39, 1885, 18022, 24540, 16172, 76958, 1144, 68175, 90, 94404, 1543, 3602, 10267, 400, 38, 3, 387, 264, 8599, 41999, 4876, 13, 5112, 400, 38, 3, 706, 264, 66266, 1139, 264, 56886, 5021, 11, 264, 12864, 323, 264, 3070, 315, 25492, 382, 59, 408, 90, 444, 585, 554, 534, 1128, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 1101, 8111, 304, 22854, 220, 20571, 1144, 68175, 90, 11860, 20110, 7966, 2684, 527, 264, 2478, 7276, 3135, 3967, 369, 1221, 585, 554, 1144, 1820, 444, 585, 554, 13, 735, 537, 5059, 4657, 1144, 68175, 70194, 537, 59829, 92, 14000, 430, 279, 32284, 268, 4876, 11, 279, 550, 13978, 927, 25492, 11, 323, 1690, 1023, 40099, 617, 264, 66266, 12974, 304, 1221, 585, 554, 1144, 1820, 444, 585, 554, 13, 36704, 79853, 323, 32269, 1144, 68175, 90, 9700, 79853, 92, 19168, 430, 279, 87015, 554, 10187, 369, 220, 18, 73288, 41999, 11277, 40099, 13, 24296, 11, 433, 574, 19168, 555, 42258, 12711, 1144, 68175, 90, 35638, 12711, 92, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 374, 837, 369, 1475, 220, 18, 73288, 41999, 4876, 23711, 304, 5801, 355, 477, 43241, 1481, 63218, 13, 16762, 2308, 72, 11, 65109, 323, 328, 22099, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 8710, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 374, 837, 369, 24051, 1122, 41999, 40099, 382, 644, 420, 5684, 11, 584, 1501, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 11917, 481, 41999, 40099, 627, 59, 2879, 90, 10001, 534, 10438, 39858, 279, 1925, 1121, 11, 584, 1205, 279, 2768, 19340, 627, 59, 7413, 90, 9830, 534, 59, 1530, 90, 9830, 25, 16, 534, 10267, 400, 38, 3, 387, 264, 41999, 4876, 13, 83710, 430, 400, 53, 6838, 15437, 649, 387, 17071, 291, 1139, 264, 5021, 400, 51, 3, 323, 1913, 275, 989, 1690, 25492, 1778, 430, 1070, 374, 912, 6964, 1990, 904, 6857, 315, 25492, 320, 1962, 14647, 12742, 25492, 705, 323, 1475, 42844, 12202, 315, 400, 51, 3, 374, 24894, 311, 520, 3325, 832, 12202, 315, 264, 11008, 13, 5112, 11, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 400, 38, 3, 627, 59, 408, 90, 9830, 534, 59, 7413, 90, 16157, 534, 1383, 25329, 11, 1475, 12202, 315, 1855, 11008, 304, 279, 17071, 374, 24894, 311, 7041, 832, 12202, 315, 400, 51, 13244, 7290, 279, 743, 315, 682, 13116, 449, 832, 15233, 304, 264, 11008, 323, 2500, 15233, 304, 400, 51, 3, 555, 400, 48, 3, 627, 75471, 11, 279, 36572, 1207, 4539, 389, 400, 36, 4233, 8, 1144, 37765, 1229, 3, 374, 264, 56886, 5021, 315, 400, 38, 13244, 1226, 1650, 433, 400, 51, 6, 13244, 7181, 430, 1475, 6964, 1990, 264, 42844, 12202, 315, 400, 51, 3, 323, 279, 11552, 315, 25492, 304, 279, 17071, 374, 1101, 13282, 304, 400, 51, 6, 13244, 14636, 11, 1475, 42844, 12202, 315, 400, 51, 45801, 374, 13282, 304, 264, 11008, 315, 279, 17071, 13, 4800, 11, 2980, 279, 4876, 400, 39, 284, 480, 1144, 751, 39465, 469, 4233, 873, 13244, 1789, 1475, 400, 85, 1144, 258, 650, 4233, 15437, 11, 400, 67, 2083, 3832, 8, 1144, 273, 80, 220, 16, 13244, 2100, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 400, 38, 13244, 1144, 85, 8920, 90, 16, 336, 534, 59, 408, 90, 16157, 3818, 1734, 78, 33940, 59, 1342, 13536, 90, 49945, 220, 16, 13, 534, 59, 1530, 90, 38548, 25, 16, 534, 10267, 400, 34, 3, 387, 264, 11008, 14454, 555, 279, 1853, 400, 48, 13244, 5112, 9539, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 400, 48, 3, 382, 7184, 11, 584, 527, 304, 264, 2361, 311, 12391, 279, 1925, 1121, 382, 59, 7413, 90, 32615, 534, 1128, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 11917, 481, 41999, 40099, 627, 59, 408, 90, 32615, 534, 59, 7413, 90, 16157, 534, 10267, 400, 38, 3, 387, 264, 11917, 481, 41999, 4876, 323, 400, 47, 551, 348, 62, 16, 11, 1144, 68916, 11, 348, 1107, 3, 387, 264, 24051, 1122, 1853, 304, 400, 38, 13244, 3296, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 2186, 1221, 585, 554, 362, 10187, 369, 400, 85, 62, 16, 348, 1107, 220, 1144, 258, 469, 6838, 8, 13244, 14636, 584, 649, 9855, 430, 400, 85, 62, 16, 348, 1107, 220, 1144, 84880, 469, 6838, 8, 13244, 6914, 400, 85, 62, 16, 348, 5487, 11, 348, 62, 16, 348, 15511, 73, 25762, 348, 5431, 348, 1107, 11, 348, 15511, 72, 8439, 348, 1107, 1144, 258, 469, 6838, 10929, 751, 39465, 469, 5417, 15437, 220, 323, 400, 73, 6, 366, 503, 366, 308, 55976, 400, 16, 366, 602, 366, 602, 6, 13244, 9220, 5157, 649, 12446, 512, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1224, 198, 59, 1342, 13536, 90, 4301, 220, 16, 13, 534, 5733, 3972, 430, 400, 72, 366, 503, 13244, 21829, 279, 2768, 4876, 304, 19575, 1144, 1116, 90, 915, 25, 2017, 91719, 92, 304, 902, 279, 12314, 13116, 79164, 279, 1853, 400, 47, 13244, 7290, 279, 2380, 13006, 1990, 400, 85, 5487, 3, 323, 400, 85, 5431, 55976, 505, 279, 2163, 311, 279, 1314, 11, 555, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 55976, 15947, 320, 10179, 430, 400, 47, 62, 16, 3, 5727, 279, 6964, 400, 68, 45801, 323, 400, 47, 62, 18, 3, 5727, 279, 6964, 400, 68, 3, 3677, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 14, 2017, 91719, 16378, 534, 262, 1144, 24232, 90, 27999, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 3, 534, 262, 1144, 1530, 90, 915, 25, 2017, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 3818, 2746, 400, 47, 62, 17, 3, 706, 2015, 400, 17, 55976, 1243, 400, 38, 3, 374, 24051, 1122, 323, 779, 555, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 13, 14636, 584, 649, 9855, 430, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 3, 617, 2015, 520, 3325, 400, 18, 13244, 4800, 11, 2980, 279, 2768, 1207, 24857, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1530, 90, 5756, 25, 16, 534, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 16, 13, 92, 2684, 374, 912, 6964, 1990, 400, 53, 5417, 1745, 15437, 323, 400, 53, 5417, 646, 15437, 369, 400, 16, 1144, 273, 80, 436, 366, 274, 1144, 273, 80, 220, 18, 13244, 8876, 1475, 12202, 315, 400, 47, 5431, 3, 706, 8547, 220, 18, 369, 1475, 400, 72, 55976, 555, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 32816, 59, 4884, 1070, 527, 1403, 44321, 1752, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 14454, 555, 400, 47, 62, 16, 3, 323, 400, 47, 62, 17, 55976, 15947, 627, 36438, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 59, 16010, 8, 1144, 16548, 11600, 1144, 16548, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16548, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 271, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 17, 13, 534, 59, 1530, 90, 5756, 25, 7334, 534, 3947, 6866, 520, 3325, 832, 6964, 1990, 1063, 400, 47, 1745, 3, 323, 400, 47, 646, 55976, 400, 81, 45147, 13244, 3161, 912, 4814, 315, 1803, 2786, 11, 9855, 430, 400, 81, 28, 16, 3, 323, 400, 82, 28, 17, 13244, 83710, 430, 400, 370, 1144, 258, 469, 6838, 15437, 11, 1405, 400, 64, 1144, 258, 650, 5417, 62, 16, 15437, 11, 400, 65, 1144, 258, 650, 5417, 62, 17, 15437, 323, 400, 67, 15511, 47, 62, 16, 26628, 85, 5487, 11, 264, 8, 489, 294, 15511, 47, 62, 17, 26628, 85, 5487, 11, 293, 15437, 374, 8187, 382, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 14, 370, 16378, 534, 262, 1144, 24232, 90, 791, 6964, 400, 370, 3, 1990, 400, 47, 62, 16, 3, 323, 400, 47, 62, 17, 3, 534, 262, 1144, 1530, 90, 915, 25, 370, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 20215, 5157, 12446, 25, 26033, 271, 2948, 8, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 3060, 315, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 92, 13244, 6914, 400, 34, 3, 387, 279, 44321, 1752, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 11281, 7848, 3833, 65626, 4935, 90, 293, 348, 5487, 92, 13244, 19127, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 59, 16010, 8, 1144, 16548, 11600, 1144, 16548, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16548, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11541, 59, 92, 13244, 197, 3505, 271, 1921, 8, 2684, 527, 1403, 44321, 1752, 25492, 11, 2019, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 323, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 92, 13244, 4800, 11, 2980, 279, 17071, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 3, 323, 279, 5021, 36572, 389, 279, 2768, 13116, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 59, 16010, 8, 1144, 26 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 128000, 50667, 16205, 118831, 28055, 35866, 48865, 31305, 36563, 49238, 3432, 37570, 125607, 72927, 97362, 45718, 36380, 109198, 70949, 50336, 83523, 80018, 8120, 49801, 15587, 95099, 97868, 102195, 122120, 80639, 38989, 78064, 48113, 88507, 64146, 5237, 41974, 7042, 55890, 61572, 119136, 56556, 28149, 29901, 87237, 99596, 111570, 37277, 77940, 3376, 18011, 26507, 89326, 119416, 42202, 10602, 69192, 63495, 92253, 27489, 96298, 58754, 25240, 31268, 15341, 31139, 18254, 100718, 50501, 118373, 106305, 112422, 96718, 14740, 50142, 76083, 69846, 55307, 81043, 78114, 98176, 52441, 73070, 73940, 112059, 91751, 19702, 38815, 25172, 18316, 98742, 50214, 57638, 116565, 79115, 21116, 31462, 98522, 86127, 8311, 18747, 77550, 88063, 87426, 82871, 114158, 35611, 111007, 3540, 39594, 16568, 6821, 3514, 60416, 26921, 52737, 107513, 1999, 103376, 89046, 96350, 10250, 65677, 8764, 30788, 88141, 89472, 58209, 118446, 4084, 63985, 59896, 36048, 29570, 13535, 69844, 87114, 110769, 114429, 79352, 13145, 40389, 26350, 11559, 23203, 39617, 61616, 23009, 107273, 5386, 66416, 39200, 52146, 4778, 122058, 44568, 92916, 115277, 23175, 94687, 31235, 123017, 80096, 16826, 27750, 86939, 124096, 126946, 118367, 43958, 16184, 94746, 1036, 50939, 89219, 77733, 18330, 32665, 75258, 72409, 108473, 92506, 10804, 18847, 93621, 27757, 95978, 108462, 34926, 87751, 41487, 81113, 49875, 20021, 104226, 10230, 120492, 105230, 100064, 93443, 26784, 12093, 122422, 38899, 40688, 26194, 92958, 83918, 64585, 21090, 47029, 14137, 83914, 105531, 105575, 3338, 85412, 83474, 111984, 53517, 83587, 60040, 106902, 83006, 73484, 59018, 116539, 56239, 104102, 1936, 25172, 89627, 107887, 4149, 16246, 69673, 73635, 24070, 64257, 4498, 60257, 111056, 1232, 27246, 23219, 118587, 19603, 93942, 28798, 67624, 118968, 4963, 28572, 20297, 113737, 7807, 116706, 32910, 28500, 115429, 54008, 36275, 52041, 28725, 23130, 16172, 86913, 98212, 21926, 123090, 91908, 12500, 38167, 26724, 28501, 16703, 49944, 19003, 113631, 35348, 50543, 76862, 54953, 4879, 8354, 108973, 66635, 109955, 77571, 109349, 95049, 76547, 94778, 75240, 126474, 60654, 106982, 70300, 30394, 123487, 125463, 9225, 127813, 12986, 60639, 2156, 50283, 95693, 124991, 60195, 115536, 93260, 33283, 61188, 46018, 62517, 83720, 4446, 66102, 21695, 15165, 33692, 17582, 2744, 38040, 100705, 3776, 102054, 117615, 24891, 93619, 24619, 19506, 105617, 68326, 117689, 94182, 127746, 117247, 11989, 87116, 4113, 56980, 127305, 27467, 83146, 80695, 80994, 67845, 38154, 56595, 34513, 97384, 35920, 95447, 97255, 48858, 61799, 93788, 6334, 72467, 36044, 51980, 66494, 65025, 108874, 83501, 42357, 121986, 52328, 64772, 12724, 11790, 44747, 31626, 122549, 42611, 23575, 23625, 62235, 81628, 122539, 62104, 93274, 28549, 105371, 73033, 56745, 91224, 5756, 103034, 107551, 7927, 15167, 92339, 10903, 102535, 42858, 2529, 31609, 37023, 62415, 36926, 111772, 26978, 78750, 31784, 117209, 94813, 98290, 55243, 74968, 55290, 38002, 111520, 110929, 64463, 56739, 19841, 4919, 97245, 116998, 17765, 58502, 96557, 71269, 109753, 91044, 25077, 108402, 8343, 53633, 114633, 87878, 3074, 12654, 46189, 105577, 50286, 94891, 81575, 98829, 2120, 83348, 57997, 20409, 11026, 62717, 25985, 59481, 91855, 122110, 60245, 106058, 24121, 47154, 50909, 44852, 77533, 26431, 111354, 56925, 69510, 36433, 15397, 7690, 88840, 27617, 84421, 88847, 13851, 124335, 114337, 23729, 108553, 80573, 39623, 12079, 7579, 29681, 35323, 40260, 34103, 16198, 28465, 67097, 28711, 98095, 42240, 51020, 101023, 1457, 9458, 42532, 36959, 85947, 44948, 53693, 94853, 108472, 60368, 50368, 122085, 127122, 2636, 46782, 10880, 75543, 83017, 106298, 47013, 16363, 113011, 88585, 47680, 97940, 90354, 115384, 90039, 58910, 11013, 38937, 48000, 113771, 4877, 54907, 61830, 94344, 118425, 44403, 44491, 7945, 2095, 63671, 122309, 103367, 61696, 66719, 49786, 5179, 95844, 37482, 94871, 69998, 76391, 79804, 102239, 35625, 91736, 120287, 60560, 48299, 65369, 70537, 16552, 102440, 28582, 53170, 61282, 27056, 45059, 968, 87212, 36129, 85175, 30415, 74931, 89548, 79262, 92313, 123786, 69217, 39476, 91343, 113405, 1266, 93802, 36328, 64770, 53125, 43470, 96069, 45266, 32461, 38818, 51226, 6723, 116616, 99204, 107798, 65815, 5755, 102643, 46660, 59457, 89732, 84174, 60082, 120125, 102889, 14177, 34009, 3817, 117513, 28870, 84588, 36448, 117459, 3600, 45687, 124696, 2494, 42952, 37273, 36318, 45297, 5022, 41512, 70512, 57930, 55418, 72133, 8161, 115124, 8875, 43245, 96386, 58288, 114182, 76955, 92185, 127950, 123141, 117462, 52845, 112424, 49576, 91412, 76436, 98937, 84885, 68684, 19946, 92627, 123187, 65772, 85401, 61482, 115184, 127460, 12555, 24832, 107495, 106015, 22067, 69473, 116248, 26882, 19803, 7256, 89977, 96946, 88812, 66733, 33387, 61077, 52319, 81316, 62230, 77612, 28140, 104881, 24989, 58299, 61763, 75739, 11236, 70352, 70846, 29551, 35407, 46864, 10663, 3567, 62588, 700, 46592, 29143, 71314, 103208, 50007, 70913, 105499, 75564, 101662, 106375, 94654, 43028, 101622, 2276, 23203, 82367, 3323, 31929, 109974, 107132, 79989, 108403, 21336, 103985, 71849, 60748, 20897, 85751, 81759, 116958, 2958, 118598, 10078, 13705, 56227, 60843, 126077, 119659, 56938, 68156, 124994, 98826, 82404, 87381, 66239, 68670, 116075, 122024, 122293, 36062, 100472, 124999, 18366, 15456, 39511, 41362, 70578, 88507, 46704, 101977, 7863, 43724, 71931, 5032, 109038, 16361, 54040, 43497, 51525, 38719, 9930, 104780, 37561, 6014, 116482, 25519, 47069, 42599, 52061, 87176, 24131, 112356, 33703, 43884, 114101, 17776, 22963, 10383, 109601, 43915, 69258, 54534, 39065, 6, 81541, 61464, 8499, 51468, 68423, 14045, 33598, 101315, 16397, 113986, 98895, 87041, 24390, 72260, 115774, 64120, 27501, 73340, 87585, 118439, 7844, 57762, 17109, 65009, 75204, 11990, 48924, 126164, 70162, 12017, 69037, 116471, 70470, 33151, 124227, 105282, 27142, 41912, 20379, 65074, 114883, 110160, 23530, 12924, 24228, 53719, 127908, 74631, 109153, 114143, 7092, 47764, 77980, 24517, 90942, 19844, 74904, 41621, 124637, 126015, 11194, 6401, 117794, 99597, 17185, 31503, 125173, 5238, 105066, 47661, 83904, 75895, 54566, 115156, 32236, 16477, 41032, 98604, 121205, 62734, 27926, 75516, 97612, 34792, 50927, 99518, 74591, 62698, 54599, 12249, 72661, 74808, 43532, 38781, 80190, 110596, 16282, 40900, 18595, 83892, 22008, 8543, 53172, 51723, 100931, 44919, 33821, 115703, 70245, 92563, 13585, 53476, 49926, 37295, 30034, 95659, 33624, 108129, 120802, 81579, 71438, 51122, 84031, 98378, 54903, 1963, 92003, 121315, 36744, 86433, 21988, 59346, 41383, 93569, 95185, 2945, 30742, 31567, 55716, 116337, 122828, 126344, 92513, 12305, 15629, 117314, 72335, 12880, 123167, 93010, 1097, 117603, 95847, 109977, 71745, 114901, 94753, 116095, 98553, 39168, 44402, 55609, 24259, 18718, 22726, 81785, 108950, 124425, 18068, 48802, 116899, 7176, 122118, 78611, 78208, 112696, 92903, 53393, 126981, 69468, 91954, 32994, 121646, 87265, 19711, 111361, 21263, 87542, 100566, 60455, 11657, 37628, 98540, 107025, 86755, 15986, 94164, 25129, 31536, 96963, 76962, 126398, 27245, 72751, 99107, 96881, 43827, 28843, 116345, 113195, 59528, 20921, 22640, 88362, 51672, 31960, 126449, 1693, 9352, 70370, 79395, 38566, 118612, 45503, 71657, 40033, 9430, 19211, 61595, 53112, 46507, 114424, 61251, 288, 98582, 89930, 37380, 69464, 126988, 112329, 2676, 15125, 60223, 88263, 50820, 12238, 63776, 26935, 106445, 88150, 111542, 19682, 79008, 22426, 48385, 108244, 12224, 19570, 63402, 67795, 32478, 48663, 81181, 125051, 64258, 108982, 58862, 18401, 68547, 39023, 127027, 67344, 107407, 126686, 3579, 70496, 30321, 75093, 124659, 126316, 59236, 111187, 4808, 97829, 86023, 23928, 125842, 67256, 64343, 63800, 110788, 100582, 14772, 79139, 35866, 103577, 97898, 101825, 42290, 118852, 90789, 126502, 105476, 1555, 67555, 49304, 46926, 11169, 6966, 30999, 118591, 70484, 24289, 21794, 127070, 72188, 81052, 31849, 109862, 82416, 19714, 98053, 56175, 70269, 2580, 30878, 18290, 52011, 15058, 121673, 33673, 9837, 96483, 8778, 30285, 103602, 60403, 29503, 7635, 60972, 79961, 80968, 112599, 73080, 84905, 94003, 77301, 58884, 112510, 12015, 25222, 86976, 16975, 79573, 106401, 69388, 25979, 46106, 80324, 126329, 68874, 110093, 52514, 123293, 67493, 117281, 10764, 38802, 83559, 115112, 120836, 32023, 22120, 49679, 38132, 117360, 88172, 94148, 6731, 42300, 83596, 24097, 94640, 97926, 86535, 1123, 88041, 37660, 81414, 15128, 96059, 80353, 6251, 51905, 52607, 8570, 53215, 62306, 412, 85210, 74491, 23675, 53599, 63737, 121629, 122709, 113825, 112143, 4033, 39827, 28331, 114155, 109817, 99272, 87543, 113381, 103651, 109291, 113246, 6121, 121686, 27424, 65048, 29495, 109743, 70032, 90205, 74361, 59148, 120685, 38377, 68367, 46913, 1333, 74908, 114369, 92393, 104255, 117078, 120310, 124114, 97414, 102820, 86644, 110045, 38600, 69087, 39151, 21900, 120677, 105487, 124695, 26342, 48901, 126318, 43045, 107189, 16659, 43492, 103502, 68220, 35917, 82312, 106905, 22938, 86500, 81680, 50196, 51762, 114503, 28059, 37586, 35024, 29751, 53638, 114132, 9130, 19025, 40607, 74260, 97034, 126453, 69201, 32458, 25274, 83707, 53572, 119868, 12759, 103777, 38039, 36029, 96574, 70117, 43935, 78752, 101709, 94967, 56635, 13012, 92454, 40258, 109423, 2986, 114182, 41950, 46317, 57628, 100643, 75077, 26995, 111218, 12122, 4121, 3731, 50504, 98183, 17815, 108138, 18674, 120256, 41365, 6120, 73421, 112025, 90484, 11143, 41753, 1733, 88614, 41640, 47795, 9658, 82821, 69117, 4948, 61741, 89359, 122588, 78044, 27851, 50142, 125565, 65405, 115634, 100477, 692, 74943, 3460, 75004, 35425, 34603, 93343, 44636, 68159, 106438, 34937, 78848, 53199, 2097, 114313, 772, 71356, 87012, 36819, 2790, 87620, 48759, 14873, 73366, 30748, 103788, 25498, 13502, 36645, 65998, 56932, 87455, 59824, 107239, 90436, 114560, 52112, 4872, 117269, 61988, 25660, 16143, 68594, 19300, 32995, 93855, 86566, 127536, 44866, 17498, 109977, 122245, 31256, 89453, 21315, 39419, 46819, 14523, 63573, 49726, 5424, 46079, 49823, 74933, 79944, 3739, 20669, 63604, 115807, 32873, 84565, 47582, 84614, 55168, 117653, 115734, 16713, 121022, 68802, 51071, 48013, 18630, 16189, 74366, 104477, 6218, 104044, 125711, 3423, 37847, 33252, 3312, 106386, 92829, 26752, 92412, 49575, 102556, 21403, 21695, 19497, 82213, 117547, 45759, 9819, 56284, 10194, 141, 50270, 61332, 89932, 121572, 31643, 122274, 76231, 61049, 39795, 81119, 49135, 40030, 118751, 37423, 29312, 98328, 111348, 75303, 69957, 2907, 111185, 20372, 39036, 79312, 77892, 76394, 29552, 93712, 47393, 105622, 61096, 81739, 56616, 120009, 6656, 85185, 92752, 125706, 127360, 6494, 81932, 82155, 79737, 13605, 77589, 93859, 50826, 9910, 4232, 37440, 95843, 127609, 22472, 89134, 2681, 124672, 8308, 123787, 45402, 122044, 38173, 47872, 127151, 13236, 47221, 122708, 114305, 97921, 66140, 86902, 9533, 47525, 111795, 18388, 83108, 41555, 69812, 113355, 112434, 106475, 26006, 64089, 57414, 48128, 33525, 46929, 91746, 96592, 126128, 125829, 28243, 21743, 35456, 110740, 19456, 10003, 64933, 19984, 87119, 111564, 77162, 4074, 100993, 126526, 89667, 92277, 12819, 120645, 107977, 18006, 74387, 76118, 71921, 20129, 109298, 37063, 24282, 100914, 58918, 56572, 105006, 9894, 104616, 71882, 67643, 86061, 27851, 111384, 26458, 109961, 57171, 91386, 6190, 26661, 76384, 78335, 113175, 102429, 93335, 87665, 72955, 117362, 121405, 118492, 103679, 49806, 38198, 59790, 90763, 74942, 51268, 58001, 23470, 49322, 72806, 84502, 100426, 84602, 61573, 118946, 77362, 46225, 113505, 50766, 17636, 39977, 27139, 88278, 47577, 94785, 41387, 50661, 93881, 67142, 24484, 42619, 106944, 4001, 72381, 36677, 18272, 112913, 29554, 123558, 61633, 40924, 73971, 82467, 49598, 31959, 46542, 123698, 10766, 20865, 56065, 5393, 79573, 2155, 109948, 92723, 43665, 41094, 86840, 111573, 46396, 112052, 98513, 101529, 57185, 107050, 113376, 19306, 91517, 117421, 26046, 121422, 16425, 4778, 100799, 105746, 115527, 43793, 55242, 121747, 58133, 118698, 5413, 21142, 67266, 85778, 59591, 60352, 124513, 108819, 92935, 97506, 18707, 50170, 56543, 31919, 34228, 104983, 64717, 55199, 125913, 66758, 60277, 24051, 56831, 114468, 18462, 40547, 98230, 26536, 91759, 68795, 88636, 7383, 65766, 91545, 42770, 53467, 66493, 37710, 34270, 62786, 8625, 95751, 29888, 6815, 40474, 6303, 92158, 107264, 79103, 3348, 36446, 68928, 84566, 71928, 104846, 101526, 67157, 127731, 100624, 13587, 42035, 38164, 105428, 71969, 72389, 90168, 79022, 101356, 24225, 38577, 29574, 120940, 36852, 51419, 77122, 388, 80492, 79896, 49458, 77617, 6181, 28909, 73854, 16174, 74364, 58828, 21017, 56071, 26124, 13160, 71284, 119390, 105982, 36611, 127780, 11338, 120370, 85592, 88859, 27247, 4040, 67717, 103382, 127188, 70561, 2801, 89573, 19315, 116557, 117319, 109268, 30977, 127265, 119839, 89632, 118865, 104452, 127331, 100308, 125604, 6548, 4121, 25671, 15162, 88405, 92939, 36060, 21418, 38874, 91137, 73392, 97683, 89776, 102348, 87248, 39568, 110599, 30450, 95574, 9382, 87466, 26651, 9585, 124141, 9620, 109179, 90811, 121009, 30608, 41259, 16274, 2813, 42721, 119987, 84540, 45080, 6356, 122565, 20916, 109944, 89450, 75610, 92684, 23327, 79681, 39722, 80598, 18938, 75625, 32460, 98150, 50381, 73465, 3822, 43611, 61099, 71942, 86622, 106829, 63791, 110546, 108569, 2944, 38716, 79807, 14150, 43431, 100527, 97777, 18591, 77285, 99201, 2156, 89466, 28842, 26331, 71467, 54543, 116342, 75238, 54021, 40917, 100490, 47876, 20329, 47731, 115489, 113428, 79895, 20237, 88638, 50837, 73099, 16818, 87249, 74262, 49970, 60033, 62486, 104278, 123171, 27837, 84717, 110548, 68180, 3046, 76525, 26521, 110055, 4609, 12999, 62915, 121216, 38749, 47647, 57716, 70067, 83769, 52995, 43763, 62704, 53789, 74982, 20285, 98660, 14559, 124069, 90662, 12198, 37024, 30487, 107165, 83618, 115632, 7336, 107362, 58572, 73647, 122423, 44650, 19211, 35453, 99508, 47907, 34852, 25713, 47753, 123826, 102630, 27970, 29236, 4923, 53752, 106927, 112755, 110738, 50639, 65051, 62041, 85843, 68713, 21458, 93106, 42806, 80747, 80786, 57774, 33346, 74375, 6039, 89201, 123223, 43637, 105453, 106100, 92170, 22657, 83933, 62171, 37938, 98816, 104276, 10927, 38522, 48776, 30655, 11586, 112868, 79751, 22558, 89722, 87725, 35500, 67662, 62475, 25895, 25869, 20395, 65769, 41143, 6478, 14201, 60994, 112140, 39397, 83552, 75061, 77948, 75833, 36964, 96053, 46975, 62380, 97600, 42211, 3452, 117026, 33068, 3126, 82486, 2212, 39701, 127948, 3527, 13238, 77798, 71985, 124019, 32969, 346, 98052, 83911, 16408, 106771, 77826, 127967, 88576, 72179, 23604, 76061, 19583, 6315, 73809, 37241, 56805, 19562, 46898, 69939, 53847, 113328, 1991, 1517, 56334, 4624, 100712, 40464, 69528, 112935, 29348, 34519, 18555, 38751, 119731, 99516, 49332, 57086, 62663, 92830 ]
[ 1144, 16548, 11600, 1144, 26, 469, 59, 16010, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 393, 5431, 59, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 1361, 8, 3161, 912, 4814, 315, 1803, 2786, 11, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 323, 1070, 374, 912, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 32816, 627, 5451, 11, 23289, 430, 369, 1475, 44321, 1752, 11008, 400, 34, 530, 3, 389, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 11, 520, 3325, 832, 315, 279, 17672, 315, 400, 34, 530, 3, 374, 24894, 311, 264, 12202, 304, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 15437, 627, 1687, 1650, 832, 315, 279, 13116, 449, 832, 842, 304, 400, 34, 530, 3, 323, 1023, 15233, 304, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 15437, 555, 400, 68, 530, 13244, 6914, 400, 85, 5487, 64517, 62, 15, 11, 289, 62, 16, 11, 1144, 68916, 11, 289, 918, 25222, 3, 387, 682, 17672, 315, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 304, 400, 47, 62, 16, 13244, 22991, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 289, 15511, 72, 62, 17, 92, 1144, 68916, 289, 918, 3, 1778, 430, 400, 15, 366, 602, 62, 16, 366, 602, 62, 17, 366, 1144, 68916, 366, 326, 3, 627, 36438, 264, 5021, 400, 51, 3, 6832, 6964, 743, 374, 279, 15792, 13116, 304, 19575, 1144, 1116, 90, 915, 25, 20869, 45920, 7966, 3505, 198, 7368, 279, 11008, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 1144, 68916, 289, 918, 1144, 7848, 3833, 65626, 4935, 90, 65, 289, 62, 15, 32816, 555, 400, 34, 6, 13244, 4800, 11, 555, 18054, 400, 34, 45801, 11, 400, 80, 3, 12202, 85884, 13006, 400, 48, 62, 16, 11, 1144, 68916, 11, 1229, 9153, 3, 902, 527, 13282, 304, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 7293, 13, 7181, 430, 1070, 6866, 264, 1853, 315, 2015, 400, 17, 3, 304, 400, 34, 45801, 902, 555, 7999, 420, 1853, 311, 400, 48, 5431, 3, 584, 1505, 264, 11008, 400, 34, 15511, 83, 5431, 32816, 11, 369, 1063, 400, 72, 13244, 32140, 1070, 6866, 459, 6964, 400, 68, 15511, 83, 5431, 32816, 21583, 400, 48, 5431, 3, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 8, 13244, 4800, 11, 584, 7124, 264, 5021, 400, 51, 3, 6832, 279, 6964, 743, 374, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 1144, 16548, 70, 7, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 873, 1144, 72282, 1144, 16010, 10929, 26, 1144, 16548, 11600, 1144, 26, 1144, 16010, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16010, 8, 1144, 16548, 70, 8, 1144, 16548, 37765, 1144, 16010, 11781, 16548, 59, 90, 68, 15511, 83, 5431, 92, 1144, 16497, 220, 16, 1144, 273, 80, 602, 1144, 273, 80, 2874, 1144, 16548, 59, 92, 1144, 16010, 570, 14415, 198, 29597, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11541, 16154, 92, 13244, 3505, 271, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 3529, 6092, 45920, 16378, 534, 262, 1144, 24232, 90, 791, 11008, 400, 34, 45801, 323, 279, 5021, 400, 51, 3, 534, 996, 1144, 1530, 90, 915, 25, 20869, 45920, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 5971, 11, 9855, 430, 1070, 6866, 264, 11008, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 1778, 430, 7000, 315, 279, 17672, 315, 400, 34, 62, 16, 3, 374, 24894, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 8, 13244, 22991, 279, 25655, 11008, 449, 420, 3424, 13, 36530, 11, 420, 11008, 374, 44321, 1752, 13, 4800, 11, 2380, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 20, 418, 63898, 4640, 59, 63114, 3849, 933, 59, 1224, 2684, 6866, 264, 11008, 400, 34, 62, 17, 3, 14454, 555, 400, 47, 62, 17, 3, 477, 400, 47, 62, 18, 13244, 19127, 279, 17071, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 400, 47, 62, 17, 3, 323, 555, 400, 47, 62, 18, 55976, 323, 1070, 374, 520, 3325, 832, 6964, 1990, 400, 53, 5417, 62, 17, 15437, 323, 400, 53, 5417, 62, 18, 8, 13244, 6914, 400, 370, 1144, 258, 469, 6838, 15437, 11, 400, 64, 1144, 258, 650, 5417, 62, 17, 15437, 323, 400, 65, 1144, 258, 650, 5417, 62, 18, 15437, 323, 44643, 400, 67, 15511, 47, 62, 17, 26628, 85, 5487, 11, 264, 8, 489, 294, 15511, 47, 62, 18, 26628, 85, 5487, 8568, 15437, 374, 8187, 13, 25773, 430, 279, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 92, 1144, 7848, 3833, 65626, 4935, 90, 65, 348, 5487, 32816, 374, 44321, 1752, 13, 6914, 603, 1650, 420, 11008, 555, 400, 34, 62, 17, 13244, 4800, 11, 7124, 279, 17071, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 62, 17, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 400, 47, 62, 17, 3, 323, 555, 400, 47, 62, 18, 55976, 323, 1070, 374, 912, 6964, 1990, 400, 53, 5417, 62, 17, 15437, 323, 400, 53, 5417, 62, 18, 8, 13244, 6914, 400, 34, 62, 17, 3, 387, 279, 11008, 31706, 315, 1403, 13006, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 13244, 19127, 279, 17071, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 62, 17, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 382, 59, 408, 90, 77669, 3818, 59, 408, 90, 77669, 633, 73759, 8920, 90, 20, 3906, 534, 59, 1224, 198, 59, 1342, 13536, 90, 4301, 220, 17, 13, 534, 59, 1530, 90, 5756, 25, 17, 534, 5733, 3972, 430, 400, 73, 366, 602, 3, 369, 682, 24051, 1122, 13006, 13, 22395, 682, 24051, 1122, 13006, 2980, 279, 220, 1853, 1778, 430, 400, 72, 25279, 73, 45801, 374, 7340, 13, 4800, 11, 2380, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 16, 13, 92, 2684, 374, 912, 400, 82, 366, 503, 45801, 323, 400, 83, 871, 602, 45801, 1778, 430, 400, 85, 646, 348, 530, 1144, 258, 469, 6838, 8, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 59060, 4884, 1070, 527, 1403, 44321, 1752, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 14454, 555, 279, 13006, 400, 85, 62, 16, 348, 15511, 73, 8439, 3, 323, 400, 85, 15511, 72, 8439, 348, 1107, 13244, 3296, 25329, 1070, 374, 912, 6964, 400, 4223, 55976, 1405, 400, 87, 1144, 258, 650, 3100, 62, 16, 15437, 323, 400, 88, 1144, 258, 650, 3100, 62, 17, 15437, 627, 36438, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 512, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 15511, 72, 8439, 85, 1107, 11, 348, 15511, 73, 8439, 85, 62, 16, 59, 92, 1144, 16010, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 271, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 17, 13, 534, 59, 1530, 90, 2008, 5756, 25, 1313, 92, 2684, 527, 520, 3325, 3116, 15285, 400, 82, 11, 274, 6, 366, 503, 3, 323, 400, 83, 11, 259, 6, 871, 602, 3, 1778, 430, 400, 85, 646, 348, 530, 11, 348, 15511, 82, 8439, 348, 15511, 83, 8439, 1144, 258, 469, 6838, 8, 13244, 22991, 3116, 15285, 400, 70, 11, 305, 366, 503, 3, 323, 400, 68, 11, 282, 871, 602, 3, 1778, 430, 400, 85, 1552, 348, 2253, 11, 348, 1928, 348, 766, 1144, 258, 469, 6838, 15437, 323, 400, 91, 70, 2902, 91, 489, 765, 68, 2269, 81150, 374, 8187, 382, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1954, 3906, 15731, 833, 14562, 2971, 521, 17, 18451, 5756, 17, 16378, 534, 262, 1144, 24232, 90, 11874, 13116, 400, 85, 1552, 348, 2253, 3, 323, 400, 85, 1928, 348, 766, 3, 534, 262, 1144, 1530, 90, 915, 25, 6414, 29352, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 20215, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 4640, 59, 31323, 3849, 933, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 382, 38275, 279, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 92, 85, 1928, 3, 323, 1650, 433, 400, 34, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 345, 14415, 59, 27362, 27362, 11, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 10492, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 59, 92, 13244, 3505, 271, 59, 1224, 3161, 912, 4814, 315, 1803, 2786, 11, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 323, 1070, 374, 912, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 92, 13244, 5629, 23289, 430, 1070, 374, 264, 44321, 1752, 11008, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 1778, 430, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 59060, 90, 85, 62, 16, 11, 1144, 68916, 11, 348, 5487, 59, 92, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 400, 4884, 1070, 6866, 264, 44321, 1752, 11008, 400 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 25990, 38069, 116985, 17071, 11490, 73584, 9767, 78086, 56862, 16684, 2998, 73169, 9965, 117119, 50246, 100281, 34655, 93717, 537, 17753, 126718, 25713, 124307, 115334, 123922, 122708, 112212, 42522, 31362, 74120, 66053, 33563, 28149, 5662, 112455, 109544, 58418, 108946, 107225, 67463, 48057, 1189, 82333, 98099, 98057, 49991, 56858, 103648, 112183, 106912, 57876, 84048, 20687, 109637, 61345, 25510, 424, 100619, 11703, 105564, 61615, 37832, 79816, 23094, 29189, 115105, 93985, 72354, 28909, 54239, 106001, 62181, 76191, 74438, 88028, 101474, 26494, 45766, 81269, 110018, 17898, 64599, 116568, 94544, 107379, 121835, 15506, 8314, 84924, 33869, 47301, 25678, 116007, 81118, 62865, 10761, 59254, 113392, 85146, 28286, 10030, 125490, 49838, 26451, 123217, 35191, 36379, 70240, 122444, 97271, 114506, 9006, 118313, 86163, 83211, 54544, 42524, 75894, 73007, 45700, 85264, 27992, 53484, 18527, 99305, 2755, 77247, 55576, 9971, 113714, 29514, 59593, 47325, 15059, 71758, 117701, 112522, 121013, 228, 29633, 72327, 86439, 48075, 17631, 82281, 109120, 127036, 1313, 83430, 41196, 106409, 97264, 112385, 118574, 73183, 77571, 67118, 70250, 21888, 759, 80897, 12663, 9949, 23954, 58561, 116658, 84073, 114140, 4299, 12813, 25995, 43141, 227, 63435, 63820, 126390, 113303, 15290, 27725, 96296, 102511, 60278, 111353, 16333, 56547, 108337, 59698, 87584, 1506, 121314, 80414, 13795, 119548, 44580, 84089, 26085, 120257, 47374, 106141, 111246, 90770, 123223, 6526, 117970, 26957, 88957, 108590, 127222, 73243, 109465, 17068, 127026, 92559, 79010, 79349, 101594, 110522, 4974, 19192, 32406, 93514, 67313, 36300, 26590, 27852, 98200, 11994, 120287, 80952, 98834, 64123, 58819, 123228, 41542, 36124, 88561, 96973, 60861, 85480, 110331, 21607, 45805, 9431, 68013, 34545, 66219, 35265, 15320, 91012, 2634, 41341, 65098, 100606, 42258, 21566, 80364, 99657, 50445, 88366, 52754, 57778, 61857, 13235, 89402, 100607, 81202, 55819, 15320, 51645, 80637, 114199, 107133, 83066, 98321, 34472, 80218, 35657, 12640, 82192, 17187, 78807, 14081, 23740, 120486, 117710, 114592, 45579, 116813, 24948, 22588, 102177, 34476, 64761, 78542, 94951, 61172, 101554, 60586, 23038, 104607, 32411, 12319, 46084, 83393, 42160, 72110, 105364, 106006, 21644, 18092, 35717, 35634, 18520, 18168, 67525, 117576, 71977, 11608, 76750, 114353, 57001, 21399, 115902, 36840, 108016, 46242, 122450, 26354, 69461, 14797, 2431, 119514, 83694, 28795, 77717, 86620, 13206, 116968, 9060, 29432, 116077, 1641, 13006, 8214, 8431, 50680, 74161, 122325, 36588, 26417, 11018, 126357, 67694, 83661, 70816, 22304, 63012, 11460, 57420, 86153, 19693, 83431, 48230, 3444, 84230, 19197, 32857, 110449, 108505, 76879, 38334, 3731, 109004, 107001, 24312, 52180, 116241, 37738, 58458, 114626, 119954, 82882, 9083, 83442, 55596, 92834, 37154, 120993, 90167, 105541, 59896, 91385, 48490, 11887, 26549, 121001, 24789, 10287, 90467, 93163, 73017, 81496, 123000, 5508, 8827, 46038, 87654, 55718, 19503, 19966, 2294, 54523, 36845, 74459, 97917, 16682, 82145, 16859, 78530, 47059, 76639, 93909, 93254, 103695, 118984, 29279, 49263, 22931, 34802, 96027, 75404, 81950, 11721, 48330, 31838, 63163, 47318, 61613, 19991, 93418, 19036, 39126, 96565, 95916, 3585, 98566, 20475, 108834, 108604, 76091, 10936, 25189, 73279, 114735, 119492, 88712, 100169, 36540, 71065, 64801, 72917, 77503, 44803, 72178, 74647, 111321, 123533, 89027, 42935, 119123, 125589, 73357, 28089, 121560, 13530, 7653, 26402, 105790, 53879, 2881, 113901, 10380, 2540, 67543, 67383, 79167, 30860, 59799, 23799, 62314, 46537, 90126, 73596, 93851, 102070, 94222, 63870, 11593, 97478, 119122, 23761, 56675, 65149, 54562, 28022, 95709, 24810, 22686, 97389, 10609, 112897, 110925, 64496, 20623, 61918, 66815, 14558, 17875, 113822, 41927, 104185, 77127, 38861, 10402, 36813, 4328, 26242, 50631, 11848, 5234, 106676, 119323, 48435, 65, 56708, 57431, 72226, 26185, 109390, 106878, 72170, 123375, 124469, 83148, 78503, 6767, 32270, 72719, 32661, 18940, 114421, 20708, 105414, 91501, 26723, 77861, 17687, 106784, 96637, 125008, 60193, 67280, 83441, 8081, 3942, 77847, 103371, 121044, 121678, 66364, 49904, 5884, 17253, 3104, 98384, 98553, 41314, 17957, 113312, 74179, 59441, 125972, 2466, 18236, 75072, 89106, 88574, 48795, 93964, 12196, 42446, 48331, 118281, 60812, 77347, 35868, 971, 99627, 81201, 23988, 89795, 21734, 9, 107215, 1477, 78371, 43064, 35520, 83018, 62213, 11753, 71349, 95637, 112188, 116704, 97077, 73061, 82166, 75793, 122713, 118203, 90177, 52690, 30065, 113782, 26554, 44694, 118290, 113859, 4766, 16628, 77424, 96551, 98130, 32751, 95928, 101296, 20552, 124723, 50440, 100965, 85641, 98398, 68999, 90626, 93264, 25473, 13038, 112806, 64084, 16642, 91525, 33708, 104255, 47324, 84015, 108361, 36048, 68826, 51632, 61979, 68022, 83579, 38534, 48830, 20753, 94260, 90134, 45081, 10455, 17975, 112242, 46398, 56648, 14006, 59212, 73196, 102042, 108475, 73427, 107418, 22546, 60634, 67737, 18405, 64326, 2305, 82178, 3371, 103760, 50221, 124153, 33479, 126885, 59954, 12504, 118625, 17649, 123299, 39408, 44650, 64062, 14686, 115872, 68627, 57677, 126778, 7283, 20477, 101880, 127766, 48284, 51985, 16675, 64895, 111697, 4256, 84386, 2920, 83186, 14891, 113998, 112436, 48323, 1403, 3014, 40876, 102884, 27629, 102998, 37314, 108948, 6854, 105852, 47975, 715, 13333, 109570, 43572, 50714, 67630, 73108, 102176, 36791, 76474, 116634, 53246, 98878, 87424, 17924, 5803, 88973, 26025, 7060, 23465, 123036, 44281, 19266, 7226, 103085, 93415, 97665, 66609, 28469, 79037, 107363, 14945, 14929, 123296, 70281, 75304, 124655, 65876, 14135, 94960, 51260, 38103, 45154, 29666, 11584, 124598, 26288, 86624, 111775, 56512, 118404, 47908, 10495, 87399, 39265, 14310, 76535, 15264, 6339, 113737, 107270, 22283, 27397, 94605, 106244, 36409, 124625, 127678, 90716, 19555, 81537, 89716, 84195, 41452, 84854, 70867, 110307, 25880, 19631, 116981, 112230, 67735, 56758, 124359, 5851, 55012, 59159, 113700, 127617, 64882, 87905, 38202, 83805, 91677, 9247, 105617, 3925, 48418, 44285, 15241, 49330, 109354, 11849, 72722, 24348, 34678, 112010, 7765, 65334, 42874, 51409, 109484, 86453, 7332, 57706, 77560, 81164, 60253, 8121, 127650, 98388, 11274, 107808, 101496, 893, 37457, 71909, 41250, 126018, 3738, 73822, 121738, 126553, 37354, 124517, 72783, 1672, 114651, 115326, 84084, 126087, 51183, 32749, 24444, 86039, 25913, 7500, 10853, 46372, 56324, 93697, 90513, 42259, 123089, 114744, 119831, 116475, 90973, 15015, 16254, 87775, 33118, 24042, 127378, 119393, 61471, 2015, 47748, 37834, 74892, 36255, 52604, 93565, 105279, 111931, 73856, 17181, 35693, 116402, 41790, 5533, 87590, 18338, 19366, 68746, 103246, 34250, 74206, 84814, 112643, 10081, 57962, 72184, 56947, 87236, 102508, 36838, 69473, 65460, 61641, 12323, 77215, 32081, 27145, 6127, 85535, 83877, 86031, 26390, 22600, 33975, 62107, 94380, 84053, 61363, 47138, 59028, 16399, 94699, 7380, 70522, 29550, 79107, 36315, 114763, 44370, 13354, 98561, 747, 20185, 111000, 124742, 8018, 37967, 24696, 32980, 61800, 81222, 74990, 96019, 107171, 63668, 101596, 90083, 37786, 14673, 9147, 63989, 127082, 73139, 22285, 105322, 69242, 20636, 115505, 55828, 670, 43538, 18856, 114714, 105667, 94302, 73352, 102477, 75535, 65721, 51752, 4132, 115488, 112621, 39227, 102183, 87074, 103792, 55596, 51253, 38874, 122916, 28505, 42602, 36440, 40090, 77069, 20618, 75650, 66168, 125169, 59949, 65166, 37253, 119051, 60826, 6277, 103781, 111320, 120364, 69158, 89296, 17933, 1247, 33883, 49311, 108247, 6228, 88099, 52161, 64058, 125879, 71407, 85130, 24507, 22058, 32898, 56960, 46531, 26889, 96264, 60337, 70113, 115755, 39957, 1185, 45924, 38245, 120223, 32570, 37268, 69499, 113192, 85281, 31486, 22410, 93086, 122388, 15569, 12039, 72347, 22440, 30900, 27024, 125787, 117838, 52397, 126808, 96130, 51134, 117961, 2423, 55786, 103481, 98558, 97516, 104560, 27548, 71264, 24503, 105845, 35507, 109732, 98501, 28359, 27490, 53316, 83719, 49545, 116110, 28575, 67456, 122670, 21716, 55802, 60148, 12036, 107091, 84971, 104731, 73974, 5393, 52217, 12111, 48043, 81274, 70628, 15066, 100677, 109916, 37334, 23234, 126507, 59515, 104154, 95160, 49953, 69940, 124639, 21509, 25018, 3632, 52265, 29700, 110999, 6861, 91142, 24516, 47807, 99912, 86563, 92205, 96736, 17187, 18868, 30921, 34605, 77040, 96705, 28835, 92844, 63549, 54695, 105535, 105594, 24990, 7909, 116237, 16726, 61935, 33304, 100220, 55785, 91246, 48196, 94352, 68348, 125668, 17086, 11772, 110715, 119472, 105449, 37180, 52937, 118755, 60263, 53345, 34310, 65117, 38450, 48844, 83309, 107008, 71408, 43521, 18262, 50039, 32834, 110003, 64615, 75719, 24966, 47267, 3965, 556, 92195, 14103, 80453, 30916, 86327, 4595, 55232, 43304, 30579, 72437, 115999, 23463, 33146, 113467, 1326, 6925, 119982, 32402, 100799, 29965, 105179, 27496, 11420, 3838, 41223, 23091, 83705, 10947, 12091, 84595, 19548, 9531, 81603, 91752, 18998, 80966, 102324, 73151, 15925, 97691, 69414, 79686, 111331, 2715, 98361, 118171, 25896, 25087, 35361, 51780, 42841, 8934, 53084, 40519, 252, 82965, 124158, 31356, 19083, 8575, 34349, 6574, 35271, 3591, 43841, 21347, 20695, 63283, 82982, 12003, 60267, 23365, 9093, 50177, 96563, 60031, 47766, 27773, 31579, 108463, 89333, 5679, 81973, 61981, 111235, 59872, 67775, 103145, 22012, 116836, 80638, 110758, 92291, 123660, 69387, 1556, 125536, 46003, 8730, 8168, 37088, 7264, 104607, 118076, 69544, 21936, 99201, 4434, 62164, 94518, 26058, 119320, 50882, 126051, 3806, 64160, 89872, 117510, 87481, 109817, 65917, 36155, 118161, 2502, 79616, 58303, 8273, 67969, 84514, 13662, 12143, 104530, 29169, 1630, 52684, 75546, 105583, 96727, 24490, 74050, 114844, 90394, 3752, 67932, 90299, 87555, 125521, 32743, 51595, 99090, 69193, 85653, 81826, 81102, 73809, 71319, 11440, 101564, 113414, 14870, 74654, 86974, 32878, 112745, 102941, 3568, 114571, 47300, 88332, 40879, 80217, 40735, 61631, 71316, 46466, 10558, 14747, 83169, 49392, 96741, 95357, 31354, 1339, 103126, 12458, 17844, 51755, 107531, 111191, 54437, 16850, 1814, 59242, 100904, 56672, 14550, 101189, 59052, 31000, 10774, 6406, 114973, 116212, 120586, 124310, 19561, 98500, 127227, 9605, 120429, 71309, 29742, 29703, 96260, 49984, 49253, 124116, 97136, 113124, 72528, 35971, 85988, 36879, 119785, 4032, 15030, 56132, 70396, 73737, 118302, 111388, 36516, 76445, 49657, 86289, 104518, 28093, 7976, 82454, 4530, 53978, 15278, 89752, 81428, 16454, 46002, 33857, 17342, 30683, 115583, 21047, 109200, 2791, 38844, 4570, 54352, 43536, 8040, 119589, 78478, 123931, 124085, 104376, 52947, 114328, 60393, 1507, 57411, 74412, 96803, 14220, 82200, 4963, 11562, 61677, 127999, 13567, 7540, 3899, 112108, 41323, 55688, 462, 37424, 29833, 97915, 77767, 59154, 56878, 50100, 87609, 28975, 115629, 70022, 111767, 21239, 52664, 108645, 64109, 63117, 77691, 31653, 48424, 36139, 17214, 92300, 25753, 78800, 78233, 42269, 42027, 56827, 4386, 11082, 51986, 66562, 101462, 37366, 79628, 72729, 118342, 84916, 86784, 97921, 94729, 31245, 31733, 6558, 44589, 64885, 95864, 12613, 121589, 82147, 43513, 21801, 92177, 87595, 127195, 57363, 56861, 39283, 85232, 116731, 112292, 95214, 29048, 56339, 14666, 19235, 45437, 98876, 107830, 97568, 90948, 119870, 75010, 32040, 38389, 105782, 111676, 126755, 11882, 44358, 9813, 121426, 71298, 123164, 41703, 50644, 112378, 116501, 73348, 28843, 121116, 14964, 21805, 54182, 107047, 11557, 121447, 31627, 91147, 16365, 122142, 110015, 108635, 88283, 44903, 111640, 77141, 93787, 76179, 47275, 121505, 18544, 77295, 103764, 97435, 55053, 94002, 102268, 7541, 64508, 109264, 34362, 105088, 123284, 53828, 27727, 88506, 33084, 102277, 12997, 43562, 5126, 115678, 121778, 71752, 15634, 21529, 127864, 33809, 94097, 108495, 118562, 104297, 59866, 49260, 10118, 44650, 44522, 72446, 14832, 55960, 40839, 96711, 11798, 17083, 123991, 75718, 77689, 45089, 94852, 105565, 101790, 99153, 36964, 124627, 120233, 54419, 87782, 97202, 27051, 35697, 92315, 42857, 111185, 51930, 29057, 35185, 61263, 24912, 114390, 127464, 17197, 18502, 111495, 96165, 35518, 49490, 77009, 10934, 121048, 80657, 77122, 118431, 44675, 79321, 41984, 124709, 52456, 53887, 74731, 49477, 26975, 584, 80940, 71346, 61108, 92155, 57085, 64950, 50, 58241, 24889, 111853, 94208, 40835, 110250, 65045, 83947, 111563, 53014, 33655, 35012, 44439, 63964, 50838, 68255, 64143, 100300, 61082, 6620, 24403, 38184, 127326, 127521, 97181, 7136, 22631, 56851, 75768, 20698, 127954, 120058, 678, 116766, 119344, 58388, 10266, 49063, 29931, 114357, 50195, 47208, 108110, 48695, 23602, 111400, 23371, 123311, 90670, 11668, 46066, 6937, 120494, 75016, 37445, 20805, 14352, 77536, 27485, 51739, 93215, 104303, 112128, 6249, 46083, 53867, 103710, 43033, 117107, 2010, 36438, 69420, 94715, 56141, 50591, 18837, 77704, 28702, 120276, 78689, 541, 16384, 83058, 79285, 51418, 19764, 115759, 64464, 3261, 1097, 116856, 4414, 26205, 63021, 32648, 81051, 8550, 2867, 29650, 42455, 33663, 77960, 30871, 7361, 91672, 12136, 122060, 127251, 2368, 35887, 1465, 11390, 8376, 44795, 97079, 12327, 47416, 101085, 119581, 75064, 51280, 83134, 29408, 109603, 16617, 22137, 45485, 80892, 60469, 83709, 73864, 101497, 11272, 50015, 33151, 98330, 59295, 2915, 966, 19940, 19066, 75887, 68768, 112634, 88148, 87570, 11714, 60532, 22757, 76537, 22614, 62867, 93204, 7299, 76142, 74266, 3220, 82689, 97595, 71665, 29318, 7763, 115760, 55408, 24245, 93011, 19819, 41817, 29586, 77820, 54049, 41160, 27347, 4250, 30693, 126166, 20255, 66961, 124284, 54623, 64326, 84362, 49724, 54068, 122043, 43368, 5057, 85294, 68241, 119633, 115209, 120044, 105064, 2788, 114121, 1688, 126918, 72946, 82848, 125634, 87458, 125428, 51610, 57434, 64567, 37537, 99605, 107435, 101869, 3349, 37249, 30031, 76648, 101536, 125830, 101151, 106267, 27757, 61128, 38615, 68013, 122980, 116309, 109914, 3543, 37872, 26064, 41670, 54166, 84132, 8606, 34542, 82255, 2794, 117216, 77111, 17767, 95753, 54811, 104546, 127166, 19131, 95747, 33122, 86253, 23306, 97379, 72970, 20649, 124461, 34989, 123094, 16362, 28555, 101065, 106244, 70395, 55407, 897, 12239, 47060, 73840, 82928, 49560, 58800, 27123, 60785, 2076, 41511, 73346, 102097, 121737, 126372, 87368, 70670, 112181, 32455, 40742, 52500, 25729, 116468, 63036, 51431, 65432, 43857, 116408, 15879, 84423, 62886, 59635, 91026, 95194, 12747, 60248, 33172, 37333, 60128, 111548, 54855, 35964, 3500, 73733, 62075, 1735, 101566, 87862, 70390, 111652, 67537, 19180, 123553, 99185, 118880, 117974, 470, 107918, 1856, 96508, 46991, 101625, 28148, 55603, 125958, 71965, 35264, 14622, 75929, 71491, 118405, 32936, 11796, 104132, 39876, 60042, 71246, 126610, 117071, 7163, 52540, 115395, 126428, 29633, 122898, 60374, 63192, 64209, 64549, 82806, 66615, 13057, 80608, 2256, 87110, 124232, 74038, 63847, 50736 ]
[ 34, 62, 17, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 62, 16, 348, 5487, 92, 13244, 3296, 25329, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 400, 53, 3100, 62, 17, 8, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 3638, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 271, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 32816, 382, 59836, 26759, 9479, 9855, 430, 369, 1475, 11008, 400, 34, 1745, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 11, 1070, 527, 1403, 17672, 400, 87, 1745, 1144, 258, 650, 3100, 1745, 15437, 323, 400, 88, 1745, 1144, 258, 1144, 90, 85, 62, 16, 11, 1144, 68916, 11, 348, 5487, 59, 32816, 1778, 430, 400, 87, 1745, 379, 1745, 1144, 258, 469, 6838, 8, 13244, 6914, 400, 85, 2253, 64517, 62, 15, 11, 289, 62, 16, 11, 1144, 68916, 11, 289, 918, 40354, 766, 3, 387, 682, 17672, 315, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 304, 400, 47, 13244, 22991, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 289, 15511, 72, 62, 17, 92, 1144, 68916, 289, 918, 3, 1778, 430, 400, 15, 366, 602, 62, 16, 366, 602, 62, 17, 366, 1144, 68916, 366, 326, 13244, 21829, 279, 11008, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 1144, 68916, 289, 918, 1144, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 1650, 433, 400, 34, 13244, 4800, 11, 555, 18054, 400, 34, 55976, 400, 80, 3, 12202, 85884, 13006, 400, 48, 62, 16, 11, 1144, 68916, 11, 1229, 9153, 3, 902, 527, 13282, 304, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 7293, 13, 7181, 430, 1070, 6866, 264, 1853, 315, 2015, 400, 17, 3, 304, 400, 34, 3, 902, 555, 7999, 420, 1853, 311, 400, 48, 5431, 3, 584, 1505, 264, 11008, 400, 34, 15511, 81, 5431, 32816, 11, 369, 1063, 400, 72, 13244, 32140, 1070, 6866, 459, 6964, 400, 87, 15511, 81, 5431, 92, 379, 15511, 81, 5431, 32816, 21583, 400, 48, 5431, 3, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 11781, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 5525, 13244, 1226, 7124, 264, 5021, 400, 51, 3, 6832, 6964, 743, 374, 279, 13116, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 37765, 1144, 16548, 59, 90, 87, 15511, 81, 5431, 92, 379, 15511, 81, 5431, 92, 1144, 16497, 220, 16, 1144, 273, 80, 602, 1144, 273, 80, 2874, 59, 16548, 59, 92, 1144, 16010, 705, 14415, 198, 3473, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 389, 279, 17071, 59060, 90, 51, 11, 356, 59, 92, 13244, 3505, 198, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1954, 3906, 15731, 833, 14562, 3529, 6092, 8284, 1959, 91719, 16378, 534, 262, 1144, 24232, 90, 791, 5021, 400, 51, 3, 323, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 11281, 68916, 289, 918, 3, 534, 262, 1144, 1530, 90, 915, 25, 20869, 99800, 29352, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 59, 1224, 2684, 527, 520, 3325, 1403, 44321, 1752, 25492, 11, 2019, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 11, 15947, 13, 8876, 400, 91, 70, 2902, 91, 489, 765, 68, 2269, 81150, 374, 8187, 11, 1070, 374, 912, 6964, 400, 4223, 1144, 258, 469, 6838, 15437, 449, 400, 87, 1144, 258, 650, 3100, 62, 16, 15437, 323, 400, 88, 1144, 258, 650, 3100, 62, 17, 8, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 7, 1144, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 348, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 198, 59, 408, 90, 77669, 633, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 18, 13, 92, 2684, 3073, 7041, 1403, 15285, 400, 82, 14287, 55976, 220, 400, 82, 366, 503, 6, 366, 602, 6, 366, 259, 3, 1778, 430, 400, 85, 646, 348, 530, 1144, 258, 469, 6838, 15437, 323, 1070, 527, 912, 1403, 1023, 15285, 400, 82, 518, 259, 45801, 1778, 430, 400, 82, 6, 366, 503, 366, 602, 366, 259, 45801, 323, 400, 85, 15511, 82, 8439, 348, 15511, 83, 8439, 1144, 258, 469, 6838, 8, 13244, 1226, 649, 9855, 430, 1070, 374, 912, 11008, 14454, 555, 220, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5431, 348, 15511, 83, 12, 16, 3500, 55976, 311, 1518, 420, 555, 46220, 2980, 264, 11008, 400, 34, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 92, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 59060, 4884, 1070, 3073, 44321, 1752, 25492, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 323, 400, 34, 62, 17, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 92, 348, 1107, 92, 13244, 3296, 25329, 400, 85, 646, 348, 530, 3, 374, 279, 1193, 6964, 1778, 430, 400, 82, 366, 503, 3, 323, 400, 83, 871, 602, 1144, 26, 13244, 15636, 11, 220, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 220, 400, 53, 3100, 62, 17, 8, 13244, 4800, 11, 1095, 400, 51, 3, 387, 264, 5021, 4613, 555, 279, 6964, 743, 345, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 1144, 7148, 51, 55976, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 59836, 7966, 3505, 271, 59836, 32710, 3, 57417, 11, 584, 649, 1101, 9855, 430, 3060, 400, 82, 1144, 818, 80, 503, 25279, 16, 3, 220, 477, 400, 83, 1144, 818, 80, 602, 8296, 16, 55976, 6062, 584, 617, 279, 24051, 1122, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 62, 16, 348, 646, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 530, 348, 1107, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 8439, 348, 15511, 73, 23742, 348, 62, 16, 3, 323, 555, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 382, 59836, 32710, 3, 1383, 46220, 11, 23289, 430, 400, 82, 1144, 818, 80, 503, 25279, 16, 13244, 6914, 400, 85, 4803, 3, 387, 279, 12202, 24894, 311, 400, 85, 15511, 73, 25279, 16, 32816, 11, 323, 400, 74, 1144, 84880, 1144, 90, 73, 25279, 17, 11, 503, 16154, 92, 13244, 1102, 649, 387, 6982, 430, 400, 74, 871, 503, 25279, 16, 55976, 2533, 6062, 555, 13126, 279, 24051, 1122, 1853, 400, 47, 1232, 1144, 26, 1144, 7848, 3833, 65626, 4935, 90, 348, 15511, 74, 10, 16, 92, 348, 15511, 73, 25279, 16, 3500, 59, 7848, 3833, 65626, 4935, 90, 85, 4803, 348, 62, 16, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 73, 8439, 348, 1107, 32816, 11, 220, 279, 502, 400, 72, 25279, 73, 45801, 374, 7191, 1109, 279, 2362, 832, 323, 420, 23093, 31095, 1057, 25329, 922, 400, 47, 3, 304, 279, 1144, 69292, 1116, 58, 5756, 25, 17, 15731, 4301, 220, 17, 92, 382, 59836, 32710, 3, 1687, 1440, 430, 400, 73, 6, 366, 597, 366, 602, 13244, 23674, 11, 279, 2144, 430, 220, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 1587, 539, 1376, 264, 11008, 23093, 31095, 279, 1162, 430, 400, 73, 6, 366, 597, 1144, 273, 503, 13244, 2100, 400, 73, 366, 597, 366, 602, 13244, 21829, 1403, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 449, 279, 17672, 400, 85, 62, 16, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 73, 8439, 348, 15511, 73, 3500, 348, 62, 16, 3, 323, 400, 85, 1107, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 8439, 348, 15511, 72, 3500, 348, 1107, 13244, 578, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 527, 44321, 1752, 11, 6062, 1070, 3073, 25492, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5431, 348, 15511, 83, 12, 16, 3500, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 646, 348, 530, 11, 348, 4803, 348, 15511, 73, 25279, 16, 11281, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 1144, 7148, 51, 55976, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 59836, 28374, 59, 408, 90, 77669, 534, 59, 408, 90, 77669, 534, 59, 408, 90, 16157, 633, 1734, 78, 33940, 59, 1342, 13536, 90, 49945, 220, 17, 13, 534, 59, 1530, 90, 38548, 25, 17, 534, 44623, 11, 304, 279, 11311, 315, 279, 3766, 58917, 584, 8710, 264, 16643, 1121, 11, 430, 374, 11, 369, 1475, 11917, 481, 41999, 4876, 1070, 374, 264, 66266, 449, 520, 1455, 1403, 25492, 382, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 48240, 20195, 101746, 18821, 99441, 14551, 8679, 22426, 12569, 15722, 116640, 64241, 52794, 29481, 81052, 66890, 34363, 14266, 65094, 104343, 9387, 10220, 95968, 76120, 122511, 14174, 14868, 28225, 125196, 75740, 124181, 19662, 114614, 7900, 115869, 101590, 36285, 56924, 113997, 101838, 65341, 15191, 123526, 117795, 24076, 115858, 71857, 126396, 14970, 20355, 45952, 86990, 42680, 117524, 109419, 66295, 23632, 76369, 20846, 115469, 95350, 93887, 96530, 109253, 92764, 8078, 108937, 99537, 15342, 96134, 71185, 41695, 19979, 11067, 120858, 24057, 101826, 75923, 50012, 92334, 78699, 86677, 105793, 23478, 32344, 60376, 121024, 12923, 75901, 3142, 67551, 104203, 29581, 113868, 38846, 59533, 33530, 100970, 69286, 121354, 26519, 14550, 82079, 84667, 23919, 79526, 96306, 64721, 32171, 53917, 4782, 114086, 56180, 117305, 93256, 30306, 7264, 67561, 34984, 1092, 62208, 39288, 106138, 19336, 75952, 64950, 125295, 71945, 4734, 24891, 69847, 15239, 6154, 51219, 39757, 91920, 103915, 121944, 14404, 38164, 122461, 40099, 65182, 68595, 117730, 63666, 2556, 48743, 69342, 55003, 23761, 14542, 48214, 55187, 11188, 87334, 87760, 83500, 44088, 92595, 68055, 54728, 42674, 33890, 112296, 70980, 17418, 64588, 48184, 98789, 55277, 101692, 90914, 22352, 34809, 4904, 46968, 110476, 34550, 41280, 64328, 79222, 42230, 110827, 49641, 10616, 47237, 98614, 666, 105824, 91829, 4590, 101803, 110329, 50834, 30598, 55915, 23181, 61511, 28741, 107720, 25843, 72854, 108910, 71782, 122331, 4855, 68131, 75417, 92704, 89674, 83614, 17380, 23580, 98379, 125247, 47594, 93261, 9162, 99714, 17403, 56589, 8995, 34741, 7669, 25666, 92077, 77635, 32452, 57551, 48657, 83991, 65622, 70170, 43391, 43893, 54991, 99582, 70928, 123593, 35097, 101879, 38945, 474, 107932, 4355, 105818, 80748, 22860, 14669, 39114, 105155, 7579, 106701, 68061, 7168, 69244, 75516, 74111, 4799, 80134, 77299, 65761, 106941, 101417, 33574, 105966, 79147, 3196, 19838, 21702, 68698, 47647, 31405, 45789, 51240, 3841, 48976, 11823, 47588, 106303, 107537, 92822, 39482, 8001, 20535, 77142, 53746, 120236, 96877, 43107, 90199, 124157, 78207, 14153, 37304, 107066, 20012, 40251, 87839, 33787, 17800, 22901, 94746, 71057, 103197, 10797, 3022, 76399, 51463, 9198, 93467, 93961, 111743, 70617, 36651, 99923, 112965, 67475, 123469, 4584, 26540, 50758, 101316, 51706, 103014, 7419, 125878, 80875, 91970, 94058, 38970, 26177, 110755, 66956, 125769, 56483, 56249, 35585, 38405, 109673, 33296, 74714, 36080, 42732, 27818, 70705, 78134, 21090, 118451, 20753, 22193, 85628, 115812, 52814, 48718, 93422, 76238, 117012, 26609, 65520, 6859, 47797, 124168, 92220, 76503, 124454, 59453, 23087, 32479, 112301, 97803, 103349, 71053, 105617, 74720, 106033, 55181, 67379, 93790, 51400, 73737, 108328, 48461, 53027, 24249, 61456, 56841, 20305, 112260, 122907, 113886, 48443, 126305, 2700, 51119, 57822, 114332, 65419, 119, 27560, 110803, 79449, 46743, 112819, 65941, 101167, 88390, 126020, 6659, 30220, 56272, 87567, 20760, 81300, 86199, 83935, 69293, 110736, 103129, 31194, 22166, 62243, 118094, 57588, 32778, 92884, 10047, 98024, 91657, 123340, 63898, 89940, 37067, 48028, 7957, 34478, 13965, 52890, 51300, 21392, 31758, 79280, 24191, 12623, 93369, 65137, 124617, 25185, 45326, 37860, 12372, 16864, 12061, 26124, 94439, 38279, 55942, 57611, 74319, 125644, 41271, 92519, 29906, 12391, 110375, 59095, 61265, 84105, 24083, 72434, 108526, 65958, 94377, 22942, 48751, 39216, 37287, 61184, 37715, 18938, 41985, 40100, 46650, 33786, 93759, 54828, 8037, 8169, 78983, 21290, 106261, 97389, 75208, 89359, 101917, 65309, 69563, 20159, 105654, 17206, 53223, 24645, 56024, 72711, 19272, 60574, 19250, 98430, 81398, 100662, 23362, 108080, 87854, 60029, 100552, 18679, 49976, 64954, 110974, 74435, 101488, 46568, 111381, 45601, 2461, 88705, 125704, 48664, 117307, 80109, 1468, 14684, 64198, 62098, 96844, 23620, 101895, 107629, 106607, 74332, 84841, 72678, 60703, 6094, 36272, 5613, 39791, 38245, 68170, 52188, 8184, 55250, 67984, 99888, 10419, 109083, 45894, 63675, 119945, 62566, 113625, 43858, 87668, 29844, 73959, 13909, 43605, 91232, 1986, 100287, 70371, 43659, 112858, 2282, 44742, 54166, 3997, 93784, 75951, 58642, 8267, 47304, 102058, 20278, 113621, 45785, 14577, 34455, 49806, 121612, 96299, 30703, 53771, 59181, 4632, 80517, 6604, 71563, 32612, 50860, 83054, 11183, 14022, 90035, 117077, 124372, 70478, 78672, 66475, 80347, 29619, 59219, 112538, 101149, 29194, 25766, 19755, 23031, 5728, 10551, 54011, 118255, 3150, 87961, 65335, 113798, 51192, 100075, 15251, 32634, 12261, 22257, 118549, 2123, 36499, 98080, 94056, 42232, 52810, 65316, 36165, 52840, 123782, 6108, 26709, 15281, 62556, 62248, 82901, 17780, 39150, 97240, 42399, 55808, 55130, 84391, 13167, 4608, 8456, 4162, 87998, 9575, 6269, 715, 8042, 83834, 101214, 125374, 71149, 34222, 76968, 15657, 78481, 13550, 2431, 124405, 82911, 74011, 9587, 90875, 103181, 10716, 2186, 25827, 77061, 42700, 788, 126145, 73375, 105047, 5463, 36120, 26633, 72843, 74421, 4803, 34253, 103644, 125579, 104285, 24427, 77777, 111085, 31856, 917, 785, 70807, 103536, 14252, 35793, 143, 99302, 127969, 6862, 36454, 19434, 78344, 96254, 92219, 13263, 120991, 115890, 22528, 115428, 21048, 30646, 86945, 127161, 16764, 122697, 61457, 62337, 6690, 35672, 28820, 59705, 72172, 104148, 38667, 1632, 94023, 80002, 104792, 109246, 73287, 21562, 57545, 123606, 68736, 81971, 63011, 81997, 13998, 96666, 105169, 54659, 17004, 28131, 46147, 18506, 54890, 72510, 69053, 71523, 101352, 38496, 43247, 22569, 44044, 100458, 16480, 3462, 12054, 54013, 83348, 73439, 102253, 118655, 94896, 125969, 86788, 106882, 7672, 99476, 76247, 4789, 96563, 23850, 82801, 59837, 94441, 102337, 40268, 94165, 90451, 84949, 73420, 34724, 52424, 83509, 51715, 105623, 23431, 89997, 69510, 72078, 113763, 12152, 60812, 37792, 125607, 99712, 20090, 40665, 94029, 45818, 8548, 47519, 78765, 102941, 98752, 60635, 5193, 15087, 87893, 54427, 78880, 14702, 61683, 101999, 72521, 114081, 54900, 39023, 16784, 103301, 75922, 21741, 25189, 46783, 108315, 92272, 90979, 14571, 59272, 1524, 115540, 4018, 8550, 19043, 8032, 50706, 117634, 34573, 123525, 79199, 113565, 109497, 87503, 65475, 108362, 97873, 93131, 78316, 63712, 63505, 1866, 55673, 96164, 41151, 54595, 16195, 62481, 35603, 2843, 89792, 21287, 22460, 114332, 43619, 98434, 75853, 29055, 21932, 59635, 27272, 107173, 67244, 7665, 122752, 37528, 98755, 99752, 80397, 6755, 95980, 69920, 60683, 78722, 89881, 99836, 31187, 119791, 79920, 121475, 63106, 88825, 106956, 16462, 81633, 71165, 27585, 3936, 22227, 98147, 91822, 61317, 118289, 125910, 29615, 17968, 29055, 125384, 14874, 33594, 121308, 123176, 33397, 125937, 56935, 48901, 34864, 51610, 53155, 32021, 116797, 118809, 7775, 12857, 71743, 46046, 122313, 78473, 16501, 101575, 67514, 123945, 26976, 127755, 68598, 102079, 107411, 49063, 10721, 55068, 67447, 67624, 113803, 85950, 27503, 5707, 69683, 118937, 34153, 120147, 831, 25623, 93069, 6870, 16179, 100480, 96571, 584, 53351, 12452, 69249, 37455, 98387, 61784, 1614, 71038, 97155, 7436, 4592, 11661, 79824, 25665, 93348, 67396, 100107, 51825, 4341, 5415, 48093, 62928, 20290, 95475, 87, 53957, 15770, 115457, 127517, 1366, 122741, 111095, 65022, 20233, 41033, 120480, 78703, 68869, 127868, 12760, 38834, 28074, 83989, 83125, 126430, 63985, 56350, 114368, 88297, 47736, 112497, 100411, 29448, 40937, 52984, 1390, 99630, 113804, 33809, 47744, 29742, 116764, 85434, 97934, 17403, 40479, 110440, 37748, 6996, 66789, 24849, 29099, 41130, 10763, 96156, 51954, 8777, 41485, 47131, 97268, 25895, 53115, 65256, 67955, 19095, 18750, 72179, 79772, 96498, 106529, 42475, 84672, 67262, 119435, 38218, 74006, 78457, 42664, 44493, 55438, 48071, 86460, 48312, 54075, 26040, 40419, 12375, 95675, 80719, 16773, 95645, 119914, 79006, 119794, 126771, 34728, 8006, 11668, 54859, 42422, 91904, 110985, 109529, 1032, 97276, 126383, 93193, 69587, 82347, 49581, 105760, 8745, 53805, 9886, 40905, 16818, 115496, 108552, 96912, 113914, 66909, 105059, 64630, 67402, 47445, 72401, 31714, 112229, 89182, 40033, 63953, 123767, 31788, 113215, 69402, 14262, 102958, 18934, 63139, 44924, 4906, 31506, 89507, 113826, 71711, 7763, 36261, 59113, 17242, 90526, 24899, 11867, 105933, 64073, 50506, 100835, 125743, 59555, 24465, 83733, 66855, 89109, 73274, 74689, 113674, 33857, 126048, 118314, 53805, 52266, 17176, 123609, 8502, 103713, 61941, 89698, 79198, 89760, 46016, 84260, 20849, 29156, 125010, 78417, 110926, 79140, 127716, 117328, 50197, 108106, 23218, 44665, 2817, 84765, 116618, 52174, 66051, 99686, 118789, 46618, 49508, 119465, 89737, 6542, 3567, 38021, 85408, 79575, 47063, 108162, 36307, 59114, 16456, 26929, 26813, 124968, 120659, 90656, 65129, 115202, 15941, 113501, 62825, 35487, 58413, 75449, 305, 107458, 28458, 7709, 2865, 936, 53105, 31268, 10349, 50376, 126654, 45440, 11102, 56697, 98145, 112962, 93624, 38625, 22181, 35986, 73276, 31373, 55721, 47085, 120873, 57591, 59216, 32983, 125933, 10221, 74768, 50957, 3743, 103050, 69470, 53989, 62339, 90018, 106712, 74934, 59145, 124083, 66864, 68153, 33723, 107783, 111892, 50832, 78743, 89870, 28893, 123932, 44447, 16979, 100412, 34165, 28989, 5297, 107754, 81189, 30834, 12327, 118230, 118793, 115346, 60807, 75594, 31667, 62208, 20335, 30245, 86506, 32800, 64421, 97981, 21237, 7408, 17337, 59087, 47189, 67033, 99679, 122420, 119532, 93634, 28346, 59618, 76988, 88395, 62999, 35082, 11991, 66136, 85601, 30036, 81115, 840, 114363, 72446, 90873, 67684, 79791, 92999, 82520, 40551, 73901, 7588, 8205, 100753, 57372, 124897, 67094, 46621, 25679, 6431, 26819, 3144, 28268, 14187, 127563, 96240, 57816, 25463, 66609, 60047, 111736, 111469, 13110, 65642, 53312, 89735, 127602, 99628, 64116, 50258, 48239, 24841, 99071, 123680, 83746, 48449, 10398, 100138, 3839, 55489, 115195, 72099, 52728, 100408, 76877, 70563, 103834, 25453, 109473, 33299, 118724, 105510, 43143, 86908, 2814, 82372, 58806, 61519, 17289, 119618, 121725, 120926, 79896, 82363, 64321, 43724, 127244, 111678, 90146, 19434, 69197, 77464, 125678, 29065, 36147, 30969, 42402, 32131, 126474, 85395, 120421, 58471, 59924, 57184, 94089, 42539, 116689, 76228, 92962, 53356, 85976, 105486, 121448, 63749, 47852, 10881, 74695, 75617, 78997, 18353, 122180, 119860, 112640, 109698, 85904, 20836, 31557, 2674, 124135, 106714, 66650, 56127, 113017, 73086, 93364, 11657, 53575, 1770, 42723, 22003, 34742, 62112, 94395, 90645, 4432, 121779, 98158, 73408, 4381, 38099, 81362, 64546, 99176, 125235, 94651, 62040, 85202, 21163, 85884, 3885, 52267, 46592, 42739, 90312, 38376, 48339, 15580, 81605, 36608, 112980, 70296, 15113, 50606, 71692, 62303, 41067, 51511, 62854, 38434, 37052, 27082, 73195, 54452, 112964, 1181, 123763, 1152, 108157, 82784, 92116, 32802, 61108, 45392, 43564, 4111, 39436, 96555, 21070, 107032, 85815, 118998, 112425, 71287, 65551, 98009, 71975, 99770, 94296, 34348, 69826, 3587, 66828, 53790, 28762, 47365, 47417, 46082, 63889, 116887, 21359, 100250, 70601, 107390, 34294, 2445, 66595, 99015, 96813, 93029, 22766, 13224, 35403, 122652, 111992, 121506, 99764, 18675, 68601, 34199, 21662, 18423, 111837, 69576, 22782, 117747, 27033, 56277, 105449, 70423, 72507, 97340, 11897, 20109, 96910, 106543, 100780, 103561, 41474, 35315, 21918, 118146, 48528, 76906, 80243, 73684, 5662, 64029, 114067, 73089, 72472, 119096, 81551, 46875, 14602, 43594, 8415, 58588, 56970, 46163, 97010, 19326, 101566, 99033, 41115, 44985, 83378, 25559, 19959, 26762, 120252, 116889, 120841, 108454, 118483, 62598, 5145, 52762, 117307, 57526, 11102, 56627, 109636, 51927, 119150, 38015, 35202, 490, 24431, 98998, 64648, 126457, 582, 23715, 18826, 41183, 72847, 94336, 5229, 49056, 9399, 40967, 67041, 29351, 92123, 44961, 84916, 114570, 107283, 44064, 115275, 41036, 33308, 22288, 78084, 22829, 1769, 53948, 40392, 65470, 64568, 76379, 97695, 89264, 49461, 38444, 9140, 78271, 74831, 52197, 107458, 81777, 93101, 71306, 47819, 65088, 112998, 17454, 52842, 5033, 94017, 50234, 5604, 119804, 98937, 46831, 43761, 86436, 104330, 84311, 45632, 53527, 38356, 14318, 639, 14576, 39855, 85010, 3763, 17518, 16734, 81878, 41223, 88911, 78151, 107441, 121508, 118908, 110450, 109011, 50114, 67388, 24481, 96603, 4915, 108246, 8200, 59810, 60544, 120936, 116407, 5517, 84631, 111343, 6340, 89924, 26819, 96464, 37130, 97466, 91070, 47294, 68714, 106122, 92897, 42205, 69741, 9403, 99595, 10113, 43122, 98708, 20047, 10963, 73477, 106102, 92679, 88070, 2699, 27547, 70182, 14444, 48450, 11262, 7772, 69185, 29784, 54937, 45554, 11607, 68213, 12931, 67059, 80197, 47992, 112893, 54970, 124452, 121547, 124921, 123512, 48168, 91801, 52403, 19012, 71183, 19091, 83163, 38129, 52019, 65902, 35457, 69826, 49032, 34644, 115170, 77562, 119134, 83783, 121606, 103938, 69488, 59579, 76965, 4324, 4988, 14566, 64480, 48916, 20835, 120919, 31226, 2282, 10300, 5869, 78072, 27818, 10991, 15077, 18506, 46038, 126827, 67130, 54291, 63401, 97421, 89336, 95372, 118565, 108968, 80686, 23041, 28918, 33102, 50010, 120069, 59554, 104072, 121225, 55965, 119325, 38531, 105375, 84373, 80408, 92997, 107795, 111960, 66140, 34679, 96415, 42307, 125195, 91980, 86975, 93834, 101493, 22761, 78957, 20963, 782, 100034, 40713, 67879, 25312, 10034, 63990, 88024, 27596, 70817, 33804, 74271, 88370, 13154, 11559, 92524, 95642, 34100, 60300, 49418, 34737, 4430, 117646, 67487, 85498, 120803, 79810, 11535, 43713, 81342, 42620, 96869, 31672, 57248, 89097, 32611, 94390, 112482, 20232, 73925, 36240, 63399, 110909, 61535, 9661, 60685, 105104, 64299, 71516, 127626, 120146, 91579, 84854, 64454, 120263, 94580, 101508, 10087, 122322, 108422, 95486, 50462, 29606, 36668, 104881, 68402, 97617, 3597, 111787, 99356, 3899, 111783, 50664, 13261, 22555, 44346, 11167, 125436, 58092, 66145, 61099, 29756, 119888, 114909, 68062, 73478, 11841, 68739, 9374, 104439, 126508, 431, 118400, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 128000, 59, 2879, 90, 3617, 16379, 315, 51593, 26800, 33317, 501, 3125, 2634, 59, 7413, 90, 18257, 9, 44489, 83, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 20, 13, 19, 258, 15731, 30035, 16, 1809, 197, 197, 73759, 8920, 20597, 15, 13, 20, 336, 1809, 197, 59, 24232, 90, 50, 82149, 68782, 315, 20622, 363, 556, 26800, 26148, 13, 320, 64, 2432, 65, 8, 1221, 44322, 2536, 5621, 4778, 323, 6004, 42174, 6070, 26, 2591, 197, 197, 1361, 2432, 67, 8, 578, 11223, 51593, 26800, 33317, 501, 3125, 323, 1202, 44899, 7106, 1646, 13, 1809, 197, 59, 1530, 90, 915, 25, 915, 16, 1809, 197, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 9, 1809, 22804, 1144, 1116, 90, 915, 25, 915, 16, 26628, 64, 8, 323, 220, 16, 1921, 8, 1501, 279, 7434, 315, 279, 21349, 14726, 315, 4447, 89, 4692, 380, 535, 26148, 13, 578, 4447, 89, 4692, 380, 535, 5540, 527, 3060, 6004, 505, 11, 477, 8774, 389, 11, 279, 54057, 13, 578, 27541, 1746, 50, 3, 8, 315, 279, 26148, 374, 4613, 3196, 389, 279, 11595, 315, 279, 8844, 13957, 2349, 1746, 59, 20892, 432, 19945, 3, 8, 315, 279, 60199, 2449, 323, 279, 26800, 9435, 311, 279, 54057, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 5903, 59, 7413, 90, 26378, 367, 1809, 50, 284, 20374, 20892, 432, 19945, 5738, 59, 85, 548, 60992, 15511, 2008, 1809, 59, 1530, 90, 11251, 14835, 48937, 1809, 59, 408, 90, 26378, 367, 1809, 644, 5369, 11, 279, 8844, 13957, 2349, 59060, 20892, 432, 19945, 3, 649, 387, 16997, 505, 279, 31990, 8331, 1746, 37432, 3, 8, 315, 279, 3769, 1511, 311, 1304, 279, 4447, 89, 4692, 380, 535, 5540, 25, 59060, 20892, 432, 19945, 284, 41126, 1144, 85, 548, 60992, 15511, 485, 32816, 11, 1405, 59060, 85, 548, 60992, 15511, 485, 32816, 374, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 5436, 13, 763, 1455, 315, 279, 21349, 26800, 13819, 51259, 439, 6982, 304, 23966, 13, 1144, 1116, 90, 915, 25, 915, 16, 92, 320, 64, 8568, 705, 279, 26839, 315, 279, 60199, 6324, 374, 11383, 3770, 264, 2478, 7895, 20622, 33504, 11, 902, 374, 1790, 9333, 1109, 430, 315, 279, 54057, 13, 15636, 11, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 380, 535, 5540, 374, 13489, 279, 1890, 439, 430, 315, 279, 54057, 1746, 59, 85, 548, 60992, 15511, 485, 92, 1144, 49153, 1144, 85, 548, 60992, 15511, 2008, 32816, 570, 53123, 11, 311, 7417, 279, 27541, 315, 26800, 26148, 320, 68, 1326, 13, 41039, 287, 59060, 20892, 432, 19945, 3, 705, 20314, 20414, 902, 649, 53744, 279, 31990, 8331, 1746, 37432, 3, 8, 527, 2631, 13, 35053, 11, 439, 46752, 11, 279, 14209, 315, 279, 3544, 31990, 8331, 304, 20622, 363, 3946, 4245, 311, 31228, 66678, 477, 7479, 1614, 11, 374, 2103, 6646, 439, 20733, 13, 720, 319, 2181, 374, 1101, 30576, 505, 34222, 13, 1144, 1116, 90, 11251, 14835, 48937, 92, 430, 279, 27541, 315, 26800, 26148, 649, 1101, 387, 13241, 1701, 264, 22936, 5603, 11, 902, 41039, 288, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 380, 535, 2449, 13, 19575, 1144, 1116, 90, 915, 25, 915, 16, 26628, 66, 8, 5039, 1057, 11223, 51593, 26800, 33317, 501, 3125, 6070, 11, 304, 902, 279, 4447, 89, 4692, 380, 535, 20622, 363, 3946, 527, 24392, 70554, 520, 279, 12541, 315, 264, 6004, 14497, 13, 578, 1401, 4623, 315, 420, 6070, 374, 430, 11, 1234, 264, 3738, 26800, 9435, 311, 279, 54057, 11, 264, 3544, 26800, 690, 387, 38626, 520, 279, 24392, 70554, 12095, 34, 20622, 363, 3946, 13, 578, 3318, 17966, 315, 279, 51593, 26800, 33317, 501, 3125, 374, 4528, 311, 430, 315, 279, 1664, 22015, 5679, 20337, 6070, 11, 902, 374, 13882, 1511, 311, 70755, 279, 22781, 458, 8333, 315, 7384, 1144, 68175, 90, 18964, 20337, 16, 12260, 540, 20337, 17, 7966, 3011, 374, 11, 994, 264, 8631, 374, 9435, 311, 279, 5679, 20337, 7666, 2070, 315, 264, 3738, 3769, 11, 264, 17944, 11, 422, 8066, 11, 690, 12446, 520, 279, 6278, 961, 315, 279, 5679, 20337, 13, 578, 3544, 26800, 38626, 520, 279, 15376, 3158, 7559, 520, 279, 12541, 961, 449, 5201, 311, 279, 22622, 5789, 7559, 520, 16335, 5654, 11, 11384, 279, 17944, 13, 20143, 22018, 323, 47616, 41941, 315, 279, 51593, 26800, 33317, 501, 3125, 527, 10666, 439, 11263, 13, 73845, 2520, 279, 25491, 315, 40075, 11, 279, 6004, 8162, 4124, 323, 20622, 363, 556, 320, 15698, 9244, 477, 1358, 8, 315, 279, 51593, 26800, 33317, 501, 3125, 649, 387, 6646, 439, 6573, 42242, 11, 23966, 13, 1144, 1116, 90, 915, 25, 915, 16, 26628, 67, 570, 578, 70334, 315, 1521, 42242, 527, 55272, 311, 872, 2430, 1746, 86, 3, 8, 323, 65683, 989, 55272, 311, 872, 3160, 320, 75, 1680, 400, 42, 1144, 782, 59091, 289, 13631, 13244, 53123, 11, 279, 1646, 315, 279, 6004, 20622, 363, 556, 323, 8162, 14418, 649, 387, 44899, 439, 264, 4101, 315, 42242, 11, 1405, 279, 42242, 449, 5190, 70334, 8024, 311, 279, 8162, 4124, 11, 323, 279, 3254, 10683, 449, 4827, 70334, 34310, 311, 279, 20622, 363, 556, 13, 1102, 374, 1664, 22015, 304, 29924, 22027, 430, 11, 369, 6275, 398, 8599, 42242, 11, 264, 8294, 26800, 690, 387, 38626, 304, 279, 3428, 313, 267, 3168, 2136, 925, 11, 1418, 264, 9333, 26800, 690, 387, 36572, 304, 279, 1579, 313, 267, 3168, 2136, 925, 1144, 68175, 90, 26208, 2239, 7966, 578, 2768, 6492, 10484, 275, 8046, 11497, 279, 23201, 2461, 315, 279, 26800, 13, 43725, 59, 7413, 90, 18257, 44489, 65, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 17, 1809, 197, 73759, 8920, 20597, 16, 336, 1809, 197, 59, 24232, 90, 77670, 2449, 6492, 315, 279, 26800, 36572, 304, 311, 279, 20622, 363, 556, 1358, 35988, 51593, 26800, 33317, 501, 3125, 13, 1809, 197, 59, 1530, 90, 915, 25, 915, 17, 1809, 59, 408, 90, 18257, 1809, 4599, 264, 22781, 458, 22936, 26800, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 8, 374, 9435, 311, 279, 54057, 11, 279, 6004, 6070, 690, 1101, 387, 74595, 660, 13, 8876, 279, 70334, 315, 279, 6004, 4124, 374, 1790, 9333, 1109, 430, 315, 279, 54057, 11, 433, 374, 6220, 311, 9855, 430, 279, 6004, 6070, 690, 11263, 279, 74595, 367, 315, 279, 54057, 13, 578, 44153, 315, 279, 6004, 6070, 59060, 20892, 445, 3, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 59, 20892, 445, 284, 1144, 20892, 445, 722, 489, 1144, 20892, 445, 1107, 284, 445, 722, 1144, 85, 548, 60992, 722, 489, 445, 1107, 1144, 85, 548, 60992, 1107, 319, 59, 1530, 90, 11251, 25, 4338, 16491, 1809, 59, 408, 90, 26378, 367, 92, 2591, 2940, 400, 43, 722, 55976, 400, 43, 1107, 3, 527, 279, 3160, 26, 59060, 20892, 445, 722, 55976, 59060, 20892, 445, 1107, 3, 527, 279, 44153, 26, 323, 59060, 85, 548, 60992, 722, 55976, 59060, 85, 548, 60992, 1107, 3, 527, 279, 42400, 36572, 1139, 279, 8162, 10683, 323, 51593, 10683, 11, 15947, 13, 578, 1207, 20420, 296, 323, 308, 2559, 369, 279, 8162, 14418, 323, 20622, 363, 3946, 11, 15947, 13, 24296, 11, 4245, 311, 279, 56411, 315, 279, 94791, 5457, 1746, 37, 3, 8, 3235, 279, 4101, 315, 42242, 11, 279, 2768, 5133, 374, 9749, 25, 400, 37, 28, 735, 722, 59, 20892, 445, 722, 284, 735, 1107, 1144, 20892, 445, 1107, 55976, 1405, 400, 42, 722, 55976, 400, 42, 1107, 3, 527, 279, 70334, 315, 279, 6004, 8162, 14418, 323, 20622, 363, 3946, 11, 15947, 13, 53123, 279, 5133, 1990, 279, 44153, 315, 279, 8162, 4124, 320, 90447, 70334, 8, 323, 20622, 363, 3946, 320, 15115, 70334, 8, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 59, 38118, 36802, 20892, 445, 722, 15523, 59, 20892, 445, 1107, 92, 35533, 38118, 90, 42, 1107, 15523, 42, 722, 92, 35533, 38118, 90, 43, 722, 86, 1107, 15523, 43, 1107, 86, 722, 1809, 59, 1530, 90, 11251, 25, 20732, 4008, 1809, 59, 408, 90, 26378, 367, 1809, 3214, 3781, 10831, 34222, 77, 13, 1144, 1116, 90, 11251, 25, 20732, 4008, 92, 1139, 34222, 77, 13, 1144, 1116, 90, 11251, 25, 4338, 16491, 2186, 279, 26800, 36572, 1139, 279, 24392, 70554, 20622, 363, 3946, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 73759, 548, 60992, 1107, 284, 1144, 38118, 36802, 20892, 445, 1107, 15523, 43, 1107, 92, 284, 1144, 38118, 90, 16, 15523, 16, 31629, 38118, 90, 86, 722, 2695, 1107, 15523, 86, 722, 11281, 38118, 90, 43, 722, 15523, 43, 3500, 59, 85, 548, 60992, 15511, 2008, 1809, 59, 1530, 90, 11251, 62396, 467, 1141, 1809, 59, 408, 90, 26378, 367, 92, 24226, 25523, 367, 1144, 1116, 90, 11251, 62396, 467, 1141, 92, 15151, 430, 7859, 279, 11595, 315, 400, 86, 722, 6458, 1107, 3, 323, 400, 43, 722, 7586, 1107, 3, 12207, 23201, 9803, 279, 26800, 36572, 1139, 279, 20622, 363, 556, 505, 279, 26800, 9435, 311, 279, 54057, 13, 1115, 1646, 374, 1101, 8581, 311, 279, 1162, 315, 20622, 363, 556, 18893, 11, 304, 902, 400, 86, 1107, 3, 374, 279, 2860, 2430, 315, 682, 20622, 363, 3946, 304, 279, 1358, 627, 319, 791, 32887, 1646, 374, 1243, 24884, 1701, 279, 35326, 2449, 6492, 320, 11673, 32, 570, 763, 279, 435, 19657, 19576, 11, 584, 9616, 279, 26800, 36572, 1139, 320, 72, 8, 2536, 6004, 20622, 363, 3946, 11, 320, 3893, 8, 279, 21977, 750, 6004, 20622, 363, 3946, 11, 323, 320, 35694, 8, 1057, 51593, 26800, 33317, 501, 3125, 6070, 11, 1701, 7837, 50, 1971, 59812, 71, 17688, 1144, 1342, 48126, 21799, 13, 763, 1057, 51593, 26800, 23201, 7922, 6070, 11, 279, 2430, 315, 279, 6004, 4124, 574, 743, 311, 387, 220, 23, 59060, 15479, 54616, 11, 1418, 279, 2430, 315, 1855, 20622, 363, 556, 304, 279, 1358, 320, 18, 36108, 8, 574, 743, 311, 387, 220, 14648, 26807, 13, 578, 20622, 363, 3946, 1358, 6070, 574, 4183, 439, 433, 649, 18885, 279, 20314, 6929, 685, 315, 279, 12095, 34, 20622, 363, 3946, 78736, 902, 3727, 279, 17876, 22772, 30816, 8831, 13, 578, 11595, 1990, 279, 3160, 315, 20622, 363, 3946, 323, 8162, 14497, 574, 743, 311, 387, 220, 16, 25, 220, 508, 13, 3161, 420, 69086, 12381, 15696, 11, 26800, 36572, 1139, 20622, 363, 3946, 1358, 59060, 85, 548, 60992, 1107, 3, 574, 8015, 2740, 16997, 311, 387, 13489, 220, 21, 3115, 8294, 1109, 59060, 85, 548, 60992, 15511, 2008, 32816, 11, 34222, 77, 13, 1144, 1116, 90, 11251, 62396, 467, 1141, 7966, 578, 19576, 3135, 1501, 430, 369, 682, 6070, 11, 279, 74595, 367, 315, 2536, 5621, 4778, 323, 6004, 20622, 363, 3946, 1833, 430, 315, 279, 54057, 13, 763, 5369, 11, 26800, 574, 4661, 6724, 23217, 1139, 21349, 6004, 323, 2536, 5621, 4778, 14726, 13, 24296, 11, 279, 11595, 315, 279, 26800, 36572, 304, 311, 279, 24392, 70554, 20622, 363, 3946, 574, 13240, 311, 387, 220, 20, 13, 24, 3115, 8294, 1109, 430, 315, 279, 54057, 11, 23966, 13, 1144, 1116, 90, 915, 25, 915, 17, 7966, 4314, 3135, 527, 304, 6573, 9306, 449, 279, 32887, 6492, 10666, 3485, 13, 1789, 264, 20622, 363, 556, 1358, 449, 459, 5578, 2430, 315, 220, 17711, 26807, 11, 279, 83598, 8895, 315, 26800, 574, 1766, 311, 387, 220, 19, 13, 20, 13, 40867, 881, 29815, 389, 279, 32887, 6492, 11, 584, 13375, 279, 2768, 21896, 311, 20461, 279, 1579, 27541, 315, 12095, 34, 20622, 363, 556, 26800, 26148, 1701, 279, 51593, 26800, 33317, 501, 3125, 13, 362, 15792, 220, 18, 34, 6354, 72, 34, 4632, 449, 1202, 26839, 315, 220, 3101, 26807, 574, 67422, 710, 34575, 15042, 389, 264, 220, 3965, 9653, 23899, 12095, 10667, 809, 1701, 3428, 7410, 11742, 68857, 414, 65374, 1144, 68175, 90, 22771, 34, 50282, 7966, 578, 4632, 574, 1144, 336, 764, 90, 258, 10109, 92, 294, 16771, 1701, 1708, 27420, 1821, 13, 578, 19115, 20545, 315, 279, 281, 10827, 220, 18, 34, 6354, 72, 34, 574, 1766, 311, 387, 400, 20, 1144, 15487, 220, 605, 48922, 972, 32816, 10166, 3, 88310, 18, 32816, 11, 1701, 264, 4106, 22477, 15105, 1144, 68175, 90, 46185, 575, 7966, 578, 3649, 315, 279, 17910, 315, 279, 15042, 4632, 649, 387, 1766, 18403, 1144, 68175, 90, 3438, 276, 10821, 11865, 7966, 3804, 39742, 11, 358, 7666, 2070, 281, 10827, 12095, 34, 22884 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 128000, 10171, 83454, 26179, 72738, 75734, 24206, 52266, 64445, 50244, 78148, 1984, 27869, 66639, 14812, 101474, 43611, 26965, 112764, 12753, 87953, 119382, 100619, 12746, 109534, 68142, 25717, 53316, 58285, 9229, 75942, 68953, 5755, 18308, 52593, 46332, 111718, 37765, 30769, 65455, 40419, 127590, 88167, 66844, 1235, 32787, 29688, 29521, 71708, 53014, 45204, 48369, 53235, 25214, 31312, 28672, 65749, 32325, 107764, 28898, 115827, 70854, 86646, 54476, 80026, 83564, 45939, 32471, 122155, 63062, 8607, 28706, 121714, 77672, 110734, 26738, 76231, 72798, 99564, 75828, 54257, 89628, 5899, 45335, 86691, 80760, 66735, 100187, 2055, 73910, 98542, 106187, 31752, 95315, 125006, 47130, 2780, 44690, 64336, 56351, 6511, 122974, 87568, 68894, 95152, 66266, 118059, 88514, 4225, 76329, 77752, 43601, 89713, 114925, 113328, 12104, 85137, 127091, 25927, 76009, 116632, 72455, 12601, 104782, 58209, 1111, 85016, 70664, 45290, 63375, 71782, 104825, 48000, 83746, 28865, 25838, 79, 60638, 55196, 82261, 105848, 100278, 35306, 50534, 41335, 94813, 51518, 77593, 32380, 99057, 19469, 50493, 121434, 11331, 103727, 126329, 27547, 57673, 35411, 85423, 122955, 67689, 124869, 56432, 52529, 115636, 37227, 57958, 80018, 93908, 92131, 70890, 51709, 54994, 107059, 64364, 15894, 74823, 106354, 50387, 40267, 84442, 22236, 86072, 92678, 64673, 120157, 62834, 108160, 70764, 9656, 40568, 51130, 126327, 100151, 58879, 51021, 119089, 114511, 10264, 110887, 59561, 119898, 13466, 21680, 124146, 20338, 123379, 36945, 67663, 24436, 7282, 95075, 105010, 123028, 87427, 16954, 3030, 115516, 49814, 107393, 41124, 19181, 22353, 106899, 33187, 51429, 69827, 18506, 112618, 101043, 32340, 119928, 96099, 69817, 70822, 123186, 42359, 69238, 11996, 92843, 21824, 59252, 32335, 113283, 79057, 81507, 76850, 1608, 14588, 111143, 42641, 126098, 98285, 121874, 83102, 43504, 46219, 121952, 32933, 43330, 13855, 36047, 44624, 7739, 15844, 35897, 16952, 30536, 27060, 84934, 5391, 119926, 38627, 79727, 45012, 76314, 23720, 120150, 8409, 102266, 90293, 2854, 58531, 31921, 76085, 60302, 97386, 23691, 48478, 60126, 16429, 63713, 40050, 118311, 47288, 34406, 99456, 18855, 56572, 20350, 33756, 22702, 107333, 40564, 87412, 97000, 84227, 61327, 32579, 83879, 85370, 35959, 29724, 49733, 113501, 98336, 113937, 85479, 117254, 114434, 31001, 111123, 94776, 67568, 47276, 110410, 122972, 13469, 52837, 123147, 75532, 16049, 102299, 124423, 122434, 21677, 66248, 23757, 120371, 9799, 107815, 59627, 104461, 3621, 51045, 58020, 21457, 88063, 91058, 9513, 21863, 125741, 106984, 37796, 124131, 30504, 22731, 88430, 18049, 18097, 87504, 367, 78682, 23577, 4632, 98772, 53177, 56198, 91087, 33501, 68798, 104769, 105053, 82281, 66714, 49619, 13814, 4749, 34514, 13887, 11273, 112917, 43723, 96269, 32805, 2271, 4970, 84922, 86343, 23897, 126529, 50264, 70949, 121873, 32414, 45650, 59649, 23854, 81476, 119401, 122011, 120832, 69274, 108869, 49025, 108, 106931, 59919, 80488, 17404, 88249, 27524, 117549, 81912, 3344, 52258, 71233, 31712, 22018, 45099, 124034, 71490, 122225, 24269, 40886, 80728, 2888, 15306, 60471, 121774, 32494, 43652, 93683, 81111, 83814, 80809, 84816, 58671, 85578, 78086, 30585, 273, 46714, 11742, 118328, 68407, 13435, 29360, 56808, 34212, 84699, 23534, 90460, 82571, 45662, 48760, 58855, 30392, 5065, 63064, 116601, 12662, 37676, 62975, 51922, 120338, 83866, 18249, 82572, 26356, 16115, 42038, 94539, 114102, 22874, 118385, 23183, 78718, 106946, 116584, 88933, 6767, 45012, 111000, 81180, 53949, 99177, 114428, 18214, 48310, 87813, 9950, 33487, 33030, 52793, 89191, 18971, 74121, 41728, 16300, 10080, 85900, 58937, 49715, 39199, 1657, 4061, 106405, 59187, 54731, 53595, 45595, 66698, 17688, 120968, 62742, 77048, 3974, 23215, 52683, 25335, 91747, 25475, 99400, 119023, 26157, 61427, 56548, 79943, 28810, 4973, 19575, 21772, 69310, 49072, 69440, 117506, 9356, 47550, 113601, 104701, 122652, 77761, 737, 7942, 60633, 35749, 40056, 63790, 100891, 54868, 89111, 2448, 123117, 117612, 86773, 9778, 28902, 84509, 55954, 71855, 36424, 29188, 5846, 30304, 91653, 30007, 21434, 23462, 25967, 41598, 77958, 127204, 71002, 20139, 36908, 99168, 116861, 18587, 2455, 40019, 113897, 55401, 73147, 45589, 13831, 107506, 69378, 82256, 69140, 113071, 89117, 114393, 127078, 3150, 14421, 19706, 17101, 85355, 69006, 33423, 10216, 124058, 101913, 19938, 125523, 67527, 102478, 58704, 40430, 4185, 27838, 113752, 87451, 14177, 44680, 113490, 53244, 95174, 83804, 21914, 48429, 68142, 59359, 17038, 32903, 50241, 3831, 91406, 26722, 116218, 43883, 48110, 71801, 123737, 68707, 13643, 86503, 92970, 74835, 49329, 69950, 34705, 122169, 11604, 8358, 53672, 25480, 27244, 114933, 97616, 100635, 40219, 89046, 35049, 35122, 27810, 116937, 59955, 55005, 76961, 78352, 63425, 90418, 118154, 19281, 102748, 12914, 7485, 5649, 24563, 111266, 77138, 25593, 120589, 83060, 52957, 114776, 29413, 6861, 47125, 106314, 82707, 66211, 61354, 117626, 62596, 100111, 52369, 57783, 90435, 18701, 10424, 112215, 46532, 61966, 24345, 46585, 108661, 48300, 106907, 87725, 4565, 92924, 117376, 2493, 49996, 11066, 69388, 65524, 121407, 43176, 27574, 62245, 48764, 102987, 107101, 100779, 45040, 32172, 25197, 44340, 82401, 18951, 39047, 56110, 38684, 32696, 1227, 78735, 51402, 17001, 93368, 11960, 64540, 107540, 13217, 19713, 16925, 5214, 104899, 29411, 61339, 78549, 105259, 108766, 26099, 72247, 54522, 62266, 63182, 77309, 87361, 44894, 113995, 115712, 51405, 68379, 68573, 7608, 8884, 117396, 97362, 3929, 30879, 103690, 108956, 123752, 115845, 77146, 119957, 65063, 36125, 38182, 110988, 122461, 3246, 55783, 32246, 114847, 79160, 18415, 26126, 51259, 72287, 98652, 120081, 96752, 34203, 35097, 100844, 31771, 36237, 92817, 72972, 33324, 14432, 43481, 21610, 76837, 79939, 55687, 121906, 113658, 85432, 113395, 103139, 38810, 112564, 56439, 61648, 2459, 39609, 1290, 81376, 92486, 88798, 16045, 12713, 118884, 126636, 70866, 8413, 122756, 104743, 123274, 124166, 70621, 17857, 42849, 14712, 103170, 7155, 8555, 24178, 90622, 108985, 58186, 12273, 7797, 84415, 116208, 22957, 119523, 75634, 122780, 86165, 110780, 96470, 19133, 87096, 1753, 103573, 111838, 58671, 85199, 84978, 60977, 3979, 49853, 83387, 93525, 52351, 46426, 31263, 103179, 71939, 80970, 58778, 60009, 36484, 113492, 22785, 108667, 114197, 126918, 47404, 42271, 109618, 112747, 72220, 77792, 120001, 30332, 15380, 1980, 34275, 76779, 126607, 668, 30899, 9700, 39018, 100454, 24907, 25507, 118420, 9878, 107838, 102370, 104495, 87732, 98108, 91559, 71622, 93900, 93583, 60945, 123958, 115223, 123600, 85422, 67110, 22737, 115180, 57222, 120919, 124288, 88179, 62857, 80396, 22822, 93052, 110331, 9562, 106463, 109669, 82813, 46040, 24726, 90726, 48380, 39317, 63883, 94763, 80298, 67066, 112762, 62550, 50477, 33157, 124935, 37923, 26430, 29486, 76101, 70316, 47238, 67165, 101097, 89333, 38976, 18623, 42982, 63624, 112273, 121433, 101480, 69675, 25660, 38041, 42917, 115739, 60382, 33080, 70019, 94000, 36121, 8513, 62017, 72202, 114652, 22577, 55226, 20777, 13078, 72460, 31091, 53963, 12623, 78258, 3285, 39563, 10688, 23047, 118252, 48058, 14983, 5402, 110856, 111416, 114286, 65885, 29457, 2379, 14241, 112048, 60775, 33207, 8872, 84879, 42687, 43750, 41841, 36325, 71150, 66591, 28983, 118842, 94609, 88546, 91916, 18513, 78372, 70084, 22409, 127090, 104046, 58008, 42899, 102441, 78844, 89877, 63363, 42155, 30025, 5812, 64802, 32346, 1675, 26302, 118910, 49458, 40762, 61495, 8744, 9677, 70581, 6430, 35608, 63053, 72421, 42446, 121811, 27762, 43814, 122907, 117920, 111203, 115279, 19529, 94743, 85734, 17578, 68643, 23673, 56002, 91352, 62887, 85588, 63130, 18021, 8446, 84426, 34948, 4380, 40362, 22349, 30624, 87551, 57939, 102558, 82954, 109049, 36600, 108027, 108312, 106145, 57469, 106608, 104376, 72819, 58598, 73266, 9446, 58520, 112866, 91595, 2786, 75091, 99580, 96027, 8079, 37467, 36669, 10596, 126231, 36621, 12037, 40176, 23435, 24462, 89002, 105136, 125368, 56016, 117111, 42699, 90459, 80251, 103704, 21089, 48657, 70867, 90029, 50510, 26252, 122730, 13386, 122590, 66612, 9861, 12086, 15722, 125636, 92065, 7006, 43514, 54718, 38883, 46636, 13565, 68136, 96520, 20781, 106656, 63325, 21503, 115256, 91823, 15571, 104455, 56639, 44664, 81076, 82654, 12043, 93463, 102289, 34255, 116363, 123607, 37150, 64825, 42057, 49888, 40928, 91952, 15708, 11445, 24967, 61610, 116760, 91181, 116631, 111537, 33059, 59168, 91701, 30290, 63565, 35345, 31559, 103965, 40424, 37321, 80222, 81268, 58018, 91355, 127970, 86544, 116993, 86754, 98860, 24227, 3999, 16226, 25699, 33200, 52794, 118615, 69905, 25024, 88146, 47081, 121224, 64113, 6705, 44086, 35235, 112259, 21858, 105823, 76509, 77477, 22795, 99451, 9225, 105056, 50740, 12454, 104002, 112886, 98573, 57804, 77204, 23743, 23168, 119125, 124595, 75121, 121259, 101482, 2575, 62672, 91162, 116392, 10682, 98504, 123595, 82683, 124691, 61854, 103509, 124589, 32981, 74244, 15346, 122875, 70401, 35203, 88066, 70079, 86139, 97459, 31750, 59758, 17988, 638, 90066, 21916, 90329, 109040, 27176, 55963, 26608, 47362, 102210, 41017, 39107, 94433, 65778, 62152, 87023, 70866, 124014, 17392, 8018, 97623, 4775, 111887, 121627, 7589, 10706, 26639, 115466, 89105, 60697, 90754, 121700, 12345, 684, 92727, 46960, 93703, 108054, 123050, 85618, 73611, 82241, 4192, 34322, 108266, 32961, 96682, 89221, 61115, 45033, 47305, 51937, 58920, 126241, 71326, 3480, 120812, 22984, 78532, 10252, 92497, 37045, 24450, 89518, 88090, 40625, 33343, 72979, 98699, 66849, 60809, 114944, 56595, 90827, 114030, 97403, 617, 94924, 20301, 17879, 100709, 57875, 63260, 44421, 39454, 88005, 58602, 26460, 29655, 57671, 24481, 79708, 65575, 82199, 67308, 59525, 56848, 76983, 28620, 125145, 17267, 69541, 20628, 95959, 79820, 110943, 17057, 115590, 17878, 3606, 65142, 55407, 75507, 6552, 118579, 46583, 89244, 100658, 55063, 58732, 70026, 60618, 42990, 48692, 92068, 21618, 50907, 20010, 67057, 16787, 12563, 19961, 119630, 30615, 44782, 109004, 5945, 83397, 113332, 104668, 92082, 110810, 37582, 12908, 85429, 9153, 94259, 3044, 62939, 84408, 17220, 122842, 5078, 64629, 15190, 48997, 44171, 97292, 114485, 122641, 69297, 16966, 95082, 76047, 112282, 105336, 14365, 46589, 30582, 18840, 125829, 31554, 17738, 100012, 101963, 68762, 71384, 45408, 113391, 27640, 92455, 119501, 127378, 97412, 124124, 29245, 23203, 43332, 119470, 10656, 65229, 23029, 5848, 73261, 58908, 22154, 6047, 76732, 41264, 126507, 94947, 31981, 1805, 6491, 114890, 60453, 32012, 108574, 59266, 103513, 47756, 31868, 121884, 23837, 99934, 40382, 38387, 44593, 31060, 18715, 24443, 65637, 58200, 5768, 81274, 19602, 68944, 15411, 45320, 6231, 55829, 125644, 11928, 96362, 81867, 85646, 30657, 18156, 47518, 74139, 127114, 7140, 62992, 88002, 33079, 123346, 122774, 62492, 75082, 24071, 108720, 39056, 59743, 111906, 16572, 30801, 27964, 42482, 124300, 94710, 78722, 33904, 33963, 42028, 113980, 110948, 109320, 46663, 97269, 119711, 98765, 110204, 66579, 83448, 9431, 38337, 56730, 100243, 104235, 64394, 100658, 19080, 92550, 21291, 73221, 82642, 123387, 118648, 87387, 117288, 111279, 120961, 80991, 45425, 45096, 101781, 112436, 12158, 83712, 40853, 125460, 117444, 80736, 3852, 37423, 99894, 108012, 42637, 122969, 488, 10162, 64164, 84329, 65723, 76836, 91352, 90403, 106809, 80239, 71304, 88944, 52443, 45104, 23208, 28688, 91809, 100985, 66941, 65285, 92182, 17681, 357, 75928, 91043, 56018, 119047, 78124, 95549, 64545, 1387, 40641, 78570, 79648, 127656, 44319, 101676, 9015, 3262, 70047, 81856, 64284, 22030, 113275, 6766, 44478, 95476, 93300, 41957, 20066, 80056, 22636, 119657, 113182, 10241, 23313, 104351, 90062, 55391, 76331, 119355, 115619, 5478, 43475, 104741, 31696, 39819, 88036, 17637, 10801, 41056, 53588, 36406, 45541, 66824, 39627, 82933, 101204, 6152, 33710, 59865, 94475, 13449, 63234, 94264, 12682, 78646, 53124, 93971, 96450, 121207, 11274, 66555, 25951, 22823, 91981, 20615, 48750, 15672, 7335, 119121, 98645, 111443, 45609, 21621, 27558, 18126, 27189, 66282, 23842, 42213, 41152, 65083, 79245, 34120, 88300, 2482, 67578, 117998, 4032, 44569, 81611, 2262, 59450, 83649, 90586, 99584, 110360, 36036, 105634, 73716, 114530, 45308, 107874, 127156, 41484, 127116, 66051, 101030, 53310, 115003, 125454, 109495, 86032, 78170, 49596, 9247, 60559, 120139, 50567, 127155, 53724, 75077, 73580, 54314, 67840, 53564, 82122, 22334, 127053, 92575, 58637, 37993, 37645, 116452, 103847, 110471, 34339, 76394, 86587, 68972, 86232, 118711, 3493, 63771, 1194, 85877, 127225, 101505, 120041, 110420, 92379, 78527, 39459, 38569, 36577, 3977, 71682, 89285, 106910, 1469, 37536, 25860, 30614, 101262, 10920, 95841, 27036, 80887, 65493, 78372, 86072, 127075, 37117, 56799, 47473, 56858, 48370, 41036, 22466, 107129, 13697, 57681, 642, 80110, 37840, 12225, 117441, 110792, 118554, 71048, 125826, 51559, 48682, 27386, 3786, 41843, 79456, 61163, 13411, 43787, 5720, 89128, 12339, 79, 19385, 54657, 38216, 6248, 90988, 24558, 114942, 39890, 58701, 70993, 6587, 2969, 117865, 117402, 25549, 24137, 35409, 9121, 33635, 25929, 125241, 28520, 126301, 61916, 46477, 44681, 36825, 109261, 40737, 17177, 13535, 95009, 60707, 81116, 36641, 12511, 114623, 7164, 68204, 91989, 1737, 93650, 89658, 79553, 115201, 627, 4447, 35966, 23054, 58780, 5102, 55150, 65812, 62032, 155, 35063, 61697, 28725, 71258, 102149, 19724, 10032, 64621, 25896, 118986, 78574, 55450, 3609, 121849, 81114, 71092, 72562, 15791, 44408, 71666, 66512, 107162, 21793, 9798, 31583, 8805, 88772, 87665, 22861, 99845, 106843, 62526, 62090, 103014, 37709, 27785, 31856, 97652, 65143, 8726, 57828, 76630, 85778, 29897, 72068, 75797, 76964, 62326, 97711, 12660, 55557, 71531, 54998, 86821, 47911, 102857, 118240, 121842, 2782, 65490, 122075, 120989, 67853, 71877, 115347, 93235, 982, 42480, 25054, 72660, 78972, 117788, 118094, 103238, 89313, 122264, 109468, 20090, 63780, 88841, 37050, 99379, 7900, 93589, 112763, 71727, 80281, 29146, 126429, 51632, 65091, 53512, 95222, 63028, 110931, 99334, 77480, 114595, 86755, 127786, 103005, 34291, 76453, 29690, 100041, 24933, 116348, 4628, 81948, 67359, 104684, 115972, 85047, 57012, 64685, 60903, 52434, 14558, 21309, 45504, 73338, 78025, 117331, 70795, 107957, 22235, 108079, 99014, 114161, 68664, 116332, 123725, 50059, 87933, 37273, 71588, 87221, 22212, 115626, 29121, 60754, 71679, 59792, 52713, 36639, 252, 58143, 23731, 30057, 45508, 48610, 112593, 51319, 47593, 67644, 58459, 7256, 119593, 126322, 33914, 27779, 29774, 76547, 8511, 49636, 59005, 3740, 34976, 1735, 13685, 120241, 18515, 118333, 58079, 48953, 100124, 16732, 98480, 56792, 97597, 50462, 47145, 82390, 107396, 18516, 3687, 51338, 2677, 21641, 81581, 110959, 10235, 77689, 55461, 38068, 76463, 40015, 55829, 113774 ]
[ 1105, 449, 25674, 80390, 54568, 389, 279, 7479, 1051, 5497, 291, 1701, 304, 68243, 34356, 32426, 320, 1341, 47, 8, 1880, 28075, 13, 1666, 279, 4447, 89, 4692, 4011, 315, 281, 10827, 220, 18, 34, 6354, 72, 34, 14117, 389, 26110, 848, 79173, 17140, 11, 682, 12095, 34, 22884, 1105, 315, 279, 3118, 990, 1051, 27210, 3235, 510, 5120, 60, 5216, 311, 35608, 279, 4447, 89, 4692, 380, 535, 2515, 13, 9479, 11, 279, 8162, 5569, 12095, 34, 22884, 1105, 1051, 1243, 6004, 505, 279, 12095, 54057, 1701, 9235, 1880, 28075, 320, 55, 68, 37, 6535, 17, 3, 570, 17830, 11, 12095, 34, 20622, 363, 556, 18893, 1051, 14454, 520, 279, 12541, 315, 279, 6004, 14497, 1701, 10968, 28772, 24310, 320, 37, 3336, 570, 9220, 4595, 315, 20622, 363, 556, 1358, 1051, 70554, 449, 2380, 20622, 363, 3946, 369, 1855, 1358, 13, 578, 5578, 2430, 315, 1855, 20622, 363, 556, 304, 1855, 955, 1051, 220, 13897, 26807, 323, 220, 17711, 26807, 11, 15947, 13, 19575, 1144, 1116, 90, 915, 25, 915, 18, 92, 5039, 279, 46544, 5448, 315, 279, 70554, 10688, 11, 2737, 279, 21349, 6004, 6070, 11, 2536, 5621, 4778, 20622, 363, 3946, 11, 323, 279, 51593, 26800, 33317, 501, 3125, 13, 73845, 59, 7413, 90, 18257, 44489, 83, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 18, 1809, 197, 59, 24232, 90, 84839, 2217, 315, 12095, 34, 26800, 26148, 13, 320, 64, 8, 45894, 12095, 34, 8162, 14497, 1511, 369, 279, 17876, 59251, 315, 279, 51593, 26800, 33317, 501, 3125, 26, 320, 65, 8, 46544, 315, 264, 8162, 12095, 34, 78736, 1405, 279, 12095, 34, 20622, 363, 3946, 1358, 1051, 14454, 1701, 435, 3336, 26, 320, 66, 8, 46544, 315, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 26, 320, 67, 8, 46544, 315, 24392, 70554, 12095, 34, 20622, 363, 3946, 6004, 505, 279, 12095, 54057, 320, 94725, 26800, 33317, 501, 3125, 570, 1809, 197, 59, 1530, 90, 915, 25, 915, 18, 1809, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 1809, 791, 1510, 22465, 320, 40, 20198, 8, 37033, 315, 682, 70554, 10688, 1051, 32971, 1701, 264, 12478, 220, 17448, 20, 1144, 1342, 48126, 21799, 4056, 16577, 55760, 13, 578, 13790, 5133, 1990, 279, 9435, 22465, 323, 17303, 1510, 11, 16717, 430, 1708, 1903, 264, 1695, 8840, 21914, 3729, 449, 279, 7701, 294, 16771, 12095, 34, 13957, 11, 23966, 13, 1144, 1116, 90, 915, 25, 3166, 7966, 23212, 11, 279, 20314, 98971, 315, 2225, 20622, 363, 3946, 323, 8162, 4124, 13240, 505, 279, 358, 20198, 16029, 323, 279, 15696, 315, 279, 22884, 1105, 5039, 4661, 279, 1890, 907, 13, 1115, 16717, 430, 279, 435, 3336, 1920, 1550, 539, 5353, 264, 5199, 7479, 5674, 311, 279, 70554, 20622, 363, 3946, 13, 6557, 4574, 59, 7413, 90, 18257, 44489, 65, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 19, 1809, 197, 197, 73759, 8920, 20597, 16, 13, 20, 336, 1809, 197, 59, 24232, 90, 5520, 22465, 37033, 315, 279, 70554, 12095, 34, 22884, 1105, 13, 1809, 197, 59, 1530, 90, 915, 25, 3166, 92, 81923, 59, 408, 90, 18257, 2634, 791, 58218, 9526, 574, 1511, 311, 70755, 279, 4447, 89, 4692, 380, 535, 2515, 304, 8162, 1404, 12095, 34, 22884, 1105, 323, 24392, 70554, 12095, 34, 20622, 363, 556, 1358, 13, 763, 420, 9526, 832, 842, 315, 279, 12095, 16869, 458, 424, 320, 4291, 264, 26839, 315, 220, 15894, 59060, 15479, 54616, 11, 323, 264, 2430, 315, 220, 22, 9653, 8, 574, 8521, 1418, 279, 1023, 842, 574, 711, 2258, 555, 19486, 2204, 8603, 13, 578, 6138, 505, 279, 70554, 20622, 363, 3946, 311, 279, 1949, 842, 315, 279, 12095, 16869, 458, 424, 574, 13489, 220, 1774, 9653, 13, 578, 26800, 36572, 1139, 279, 12095, 54057, 374, 59060, 85, 548, 60992, 57114, 1342, 90, 2008, 92, 284, 36608, 14, 17, 79882, 55976, 1405, 400, 44, 3, 374, 279, 9435, 58218, 4545, 26, 323, 400, 83, 55976, 400, 36, 3, 323, 400, 40, 3, 527, 279, 26839, 11, 13566, 596, 75124, 323, 279, 4545, 315, 78552, 315, 279, 12095, 16869, 458, 424, 11, 15947, 13, 578, 2077, 315, 279, 12095, 34, 13957, 311, 9435, 26800, 574, 1243, 17303, 1701, 264, 2814, 26402, 320, 9219, 69514, 1144, 1342, 48126, 21799, 220, 17451, 1721, 362, 4390, 319, 59, 7413, 90, 18257, 44489, 71, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 20, 86505, 1809, 197, 197, 73759, 8920, 20597, 16, 13, 20, 336, 1809, 197, 59, 24232, 90, 82430, 3135, 13, 320, 64, 8, 362, 7809, 1854, 1990, 279, 8844, 13957, 2349, 304, 279, 51593, 26800, 33317, 501, 12099, 11, 2536, 6004, 20622, 363, 3946, 323, 6004, 8162, 14418, 26, 320, 65, 8, 578, 6351, 2143, 1429, 315, 279, 12095, 34, 20622, 363, 3946, 26800, 26148, 35988, 279, 11223, 6070, 13, 1809, 197, 59, 1530, 90, 915, 25, 7842, 49, 1809, 298, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 92, 4574, 791, 8844, 13957, 2349, 1746, 59, 20892, 432, 19945, 3, 8, 315, 279, 8162, 323, 51593, 12095, 34, 22884, 1105, 574, 68683, 2403, 279, 26800, 36572, 1139, 279, 12095, 54057, 59060, 85, 548, 60992, 15511, 2008, 32816, 11, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 26628, 64, 570, 1789, 682, 70554, 10688, 11, 279, 8844, 13957, 2349, 5039, 264, 1695, 13790, 5133, 449, 279, 9435, 26800, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 570, 763, 5369, 11, 449, 279, 1890, 9435, 26800, 311, 279, 12095, 54057, 11, 279, 13957, 2349, 315, 279, 12095, 34, 20622, 363, 3946, 1701, 279, 51593, 26800, 33317, 501, 3125, 574, 1790, 8294, 1109, 430, 315, 279, 279, 12095, 34, 8162, 78736, 323, 279, 21349, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 13, 763, 5369, 11, 18189, 279, 2430, 315, 279, 12095, 34, 20622, 363, 3946, 1101, 19543, 304, 279, 5376, 315, 279, 27541, 13, 578, 26703, 315, 279, 4447, 89, 4692, 380, 535, 2515, 304, 279, 51593, 26800, 33317, 501, 3125, 439, 1664, 439, 21349, 14726, 1051, 1243, 10484, 275, 8046, 26126, 3196, 389, 279, 7524, 31990, 8331, 1746, 37432, 15511, 6581, 32816, 705, 902, 374, 4613, 439, 279, 11595, 315, 279, 8844, 13957, 2349, 311, 279, 9435, 26800, 311, 279, 54057, 25, 400, 37432, 15511, 6581, 92, 284, 20374, 20892, 432, 19945, 5738, 59, 85, 548, 60992, 15511, 2008, 92, 13244, 63909, 11, 279, 7524, 31990, 8331, 315, 279, 6004, 8162, 12095, 34, 574, 1766, 311, 387, 220, 1591, 11, 1418, 430, 315, 279, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 574, 220, 1758, 13, 5659, 279, 828, 6982, 304, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 2186, 279, 7524, 31990, 8331, 315, 279, 220, 13897, 26807, 323, 220, 17711, 26807, 12095, 34, 20622, 363, 3946, 304, 279, 51593, 26800, 33317, 501, 3125, 1051, 16997, 439, 220, 3965, 323, 220, 8874, 11, 15947, 13, 14636, 369, 20622, 363, 556, 18893, 449, 5578, 65511, 315, 220, 13897, 26807, 323, 220, 17711, 26807, 11, 279, 27541, 315, 279, 51593, 26800, 33317, 501, 3125, 574, 220, 20, 13, 19, 3115, 323, 220, 19, 13, 21, 3115, 8294, 1109, 279, 20155, 12095, 34, 11, 15947, 13, 4314, 3135, 1051, 13263, 449, 44064, 323, 35876, 4211, 10666, 3485, 13, 578, 8844, 13957, 2349, 315, 279, 51593, 26800, 33317, 501, 3125, 1101, 8710, 9250, 1584, 10981, 449, 279, 9435, 26800, 11, 449, 264, 13790, 31649, 315, 3485, 220, 1484, 59, 14697, 24226, 791, 13957, 2349, 315, 279, 51593, 26800, 33317, 501, 3125, 649, 1101, 387, 16489, 1139, 22465, 17738, 1701, 264, 56738, 11046, 14497, 11, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 26628, 65, 570, 578, 2612, 22465, 315, 279, 51593, 26800, 33317, 501, 3125, 12992, 449, 7859, 22781, 458, 42400, 505, 220, 15, 64697, 311, 220, 5245, 64697, 11, 323, 6052, 311, 279, 2926, 907, 994, 279, 26800, 574, 6724, 7108, 11, 50096, 264, 1695, 6351, 2143, 1429, 1306, 3892, 26800, 36572, 25492, 13, 578, 1584, 10981, 315, 279, 8844, 13957, 2349, 11, 323, 279, 6351, 2143, 1429, 13519, 430, 279, 11223, 6070, 374, 26455, 369, 26800, 60199, 8522, 3304, 6557, 644, 17102, 11, 420, 990, 18911, 264, 11775, 22936, 5603, 311, 6994, 7701, 16614, 4447, 89, 4692, 4011, 304, 20622, 363, 3946, 3196, 389, 264, 51593, 26800, 33317, 501, 3125, 13, 578, 1401, 8331, 315, 279, 51593, 26800, 33317, 501, 3125, 15812, 389, 20622, 363, 3946, 24392, 70554, 389, 264, 6004, 8162, 6070, 13, 57708, 7978, 1051, 13375, 389, 12095, 34, 20622, 363, 3946, 11, 50096, 430, 555, 35988, 1057, 51593, 26800, 33317, 501, 3125, 11, 279, 27541, 315, 12095, 34, 20622, 363, 3946, 574, 220, 20, 13, 19, 3115, 8294, 1109, 430, 315, 21349, 14726, 13, 1115, 1121, 16717, 430, 279, 51593, 26800, 33317, 501, 3125, 374, 459, 9250, 5452, 369, 24955, 16614, 26800, 60199, 8522, 13, 257, 8731, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 101196, 108631, 3887, 100147, 104767, 36712, 8754, 40085, 49587, 73459, 22971, 95680, 74379, 88619, 38730, 84830, 19933, 76959, 84828, 117880, 125007, 23730, 110075, 22206, 42263, 96468, 23848, 126952, 91985, 122541, 49072, 105206, 31414, 87258, 83269, 5407, 82392, 81053, 80535, 75365, 68911, 47106, 124441, 51914, 38361, 71544, 38591, 603, 46733, 78647, 107392, 111443, 122606, 64940, 114813, 24338, 21688, 17295, 93485, 110940, 60990, 44664, 89868, 28919, 126497, 3397, 96289, 51691, 74950, 91395, 1307, 97391, 89883, 4504, 109545, 24715, 120323, 75650, 29000, 56008, 120542, 69964, 41821, 117885, 66370, 63583, 59206, 63396, 35037, 14583, 34267, 13965, 55569, 58550, 75314, 90114, 117587, 42470, 58816, 100646, 110604, 60573, 59066, 20623, 29171, 6111, 83899, 111108, 44157, 31520, 91515, 31610, 18331, 59504, 40932, 86484, 4708, 69957, 24896, 63436, 66636, 115418, 70772, 23370, 52658, 109453, 79122, 8042, 1551, 34906, 81522, 120148, 62760, 70691, 59523, 59858, 99682, 103338, 116432, 111004, 91234, 74278, 49769, 69762, 118495, 102688, 45347, 60091, 117061, 49234, 70006, 16311, 80948, 53799, 76346, 115189, 7874, 64105, 75922, 73335, 104291, 85060, 34725, 74191, 21036, 6355, 44370, 48474, 26391, 7097, 76212, 76422, 19863, 116987, 76764, 100260, 1027, 83133, 110540, 6487, 97367, 10317, 122520, 44196, 48651, 47244, 43828, 71327, 41695, 22054, 6631, 126742, 51124, 52175, 36852, 90975, 7607, 18480, 121103, 108445, 51724, 120417, 102289, 123516, 104342, 22307, 34989, 10073, 60276, 12667, 5371, 19573, 39539, 18398, 29904, 120206, 91506, 108471, 55601, 65850, 53956, 24887, 47517, 20312, 34563, 29809, 27310, 126474, 22593, 2931, 104165, 73429, 86764, 86994, 22078, 69783, 114749, 39038, 99360, 85197, 112610, 56881, 89218, 52382, 123095, 98768, 18138, 111428, 83903, 71485, 34833, 72068, 48757, 121505, 87338, 39395, 13256, 92475, 87091, 92960, 87623, 105054, 65104, 47394, 65262, 92081, 2570, 96076, 13722, 44664, 86477, 43215, 91478, 83517, 59627, 38897, 18400, 37557, 61632, 79546, 18510, 48637, 36614, 8252, 20500, 76610, 79509, 23770, 40331, 93275, 51645, 60469, 89730, 126570, 61512, 19225, 17447, 103931, 28643, 10743, 124303, 20531, 90180, 102157, 79775, 56669, 62584, 45939, 107284, 16071, 39263, 67477, 26524, 3274, 117567, 59734, 121939, 64671, 58140, 107712, 85121, 93499, 48809, 116307, 76434, 102543, 75419, 43119, 75209, 10509, 117019, 49136, 111685, 47517, 73749, 71109, 1048, 28831, 69740, 117979, 2835, 122161, 32494, 87739, 65541, 4763, 22147, 63845, 47809, 5746, 92866, 31915, 114766, 90916, 8487, 78890, 122997, 44249, 100058, 98440, 50605, 112230, 61472, 76220, 117183, 98626, 856, 88131, 89586, 118315, 55493, 106756, 86090, 106241, 49343, 56314, 85768, 32806, 94894, 118416, 87404, 58742, 105728, 50320, 47356, 20581, 76928, 14449, 87243, 42960, 9973, 27982, 54308, 31715, 107418, 92752, 104263, 1547, 118992, 39627, 12892, 81774, 72095, 28598, 67777, 9636, 10969, 35126, 20676, 85642, 53069, 109540, 108331, 77061, 61692, 117909, 42102, 22207, 119750, 115203, 26380, 58033, 52279, 40501, 18847, 57854, 124292, 103419, 34750, 17919, 32740, 117138, 60336, 11000, 11609, 47311, 94398, 108869, 10768, 98256, 120457, 109332, 13089, 6638, 51980, 75741, 47642, 33736, 13052, 90595, 45560, 94856, 120970, 19830, 61318, 4562, 38937, 35210, 7036, 91151, 67078, 96731, 18409, 107285, 93904, 51586, 109442, 94981, 28121, 123444, 29207, 20150, 14453, 84272, 9124, 24767, 74633, 127303, 120516, 78354, 88974, 10053, 82147, 39650, 15343, 68358, 47238, 72638, 62673, 5902, 99318, 45255, 57214, 109613, 10671, 1234, 21197, 22159, 36273, 11122, 6852, 57773, 127284, 108389, 34863, 115585, 16570, 14492, 1699, 45919, 77381, 49777, 123899, 48129, 103113, 13961, 54704, 90940, 67911, 1289, 115472, 121948, 45435, 29113, 119630, 60883, 41452, 52630, 38231, 55570, 17443, 113678, 82884, 98324, 28876, 119431, 20986, 125323, 31646, 100239, 20552, 102069, 15789, 111813, 23132, 76665, 76017, 46005, 46903, 141, 111553, 18288, 117854, 24150, 70287, 20008, 123495, 89268, 98221, 119669, 90437, 114549, 105331, 17482, 112488, 100646, 85278, 109372, 19767, 27033, 105281, 82458, 42305, 86167, 122261, 8280, 34993, 79068, 116698, 5391, 97446, 33605, 87241, 85746, 27349, 115363, 62526, 87633, 113960, 108450, 68651, 91521, 28800, 108035, 121518, 114868, 66375, 54640, 60127, 123848, 93357, 19692, 21517, 3748, 35825, 64220, 62809, 14650, 74203, 94701, 21298, 79655, 73033, 14793, 34561, 23378, 31283, 24723, 34524, 86402, 113867, 73169, 18244, 9009, 33810, 83944, 71728, 81284, 91369, 44334, 85004, 17239, 27107, 124002, 64693, 125785, 53420, 46419, 25504, 34384, 34730, 96823, 55961, 13848, 91455, 68510, 93324, 66713, 89248, 124057, 93194, 35244, 45151, 114793, 19592, 121028, 118193, 7562, 81737, 59044, 42639, 70633, 82178, 69791, 46219, 83223, 18066, 108126, 21409, 60977, 24265, 28371, 46883, 3167, 85877, 28337, 45952, 109623, 94165, 83255, 84641, 112154, 94719, 58300, 33245, 38005, 127500, 37027, 114510, 114149, 18356, 52192, 59016, 102512, 32622, 104592, 3052, 20347, 126670, 76149, 124980, 97086, 50389, 88725, 115172, 117530, 26629, 1837, 1943, 64778, 91759, 23176, 8675, 39872, 79158, 66996, 56858, 44665, 96355, 19198, 112616, 59483, 27063, 29533, 122398, 60504, 81641, 34613, 56839, 84226, 66577, 86810, 48485, 51370, 19420, 38485, 122280, 21996, 63444, 71673, 72984, 14572, 121020, 80869, 5933, 91463, 78377, 27397, 54675, 58943, 19977, 74244, 19132, 11426, 95670, 63817, 127394, 59827, 111160, 124994, 124964, 34009, 125904, 38419, 17703, 101059, 125322, 5716, 86688, 17687, 16128, 43755, 125454, 27900, 63659, 68642, 87298, 85573, 88836, 35393, 50738, 10329, 113179, 68341, 35567, 110377, 123289, 51366, 46844, 50672, 7799, 38763, 59810, 33262, 66687, 123797, 16139, 96754, 79011, 15352, 14500, 36119, 17856, 19663, 81971, 39458, 94576, 97539, 63127, 34230, 100602, 52233, 17647, 106051, 3454, 52810, 20058, 25666, 119115, 125882, 87122, 41312, 75031, 114007, 15297, 119240, 113862, 58220, 41737, 17815, 4331, 68561, 17974, 101709, 102097, 2203, 16227, 108555, 15239, 998, 17975, 63588, 48518, 97965, 112736, 64047, 103205, 97578, 110838, 50773, 33607, 68327, 25851, 47780, 77821, 42208, 51605, 70615, 107792, 33096, 13544, 104751, 72541, 53972, 48760, 58096, 2498, 79065, 80997, 30681, 62093, 6130, 50492, 30239, 115453, 81021, 48146, 106754, 75197, 22567, 87047, 112282, 86933, 4658, 86421, 110273, 20402, 7457, 91781, 109348, 66360, 1081, 123347, 95045, 55727, 116957, 18113, 78400, 29620, 21549, 66842, 59893, 47830, 125981, 55616, 20555, 117415, 74835, 123947, 96353, 7752, 30929, 114788, 27002, 72434, 126458, 8545, 63949, 77841, 115370, 87173, 43700, 4127, 75683, 91628, 89277, 85240, 120225, 105088, 94518, 85763, 6555, 90123, 98544, 100566, 99312, 125225, 116619, 52685, 102315, 59116, 20512, 7395, 126009, 68581, 95297, 106811, 60483, 81557, 104075, 8247, 92972, 11800, 45056, 11964, 123111, 61348, 3078, 100666, 26302, 113959, 119084, 60343, 107235, 78779, 77119, 124656, 36899, 47223, 64509, 78099, 41253, 19024, 89230, 69957, 4950, 103711, 100961, 50523, 31118, 46748, 988, 7870, 75563, 3963, 90278, 103485, 89619, 91500, 104124, 13477, 100805, 24648, 108217, 9994, 84027, 85337, 51581, 101204, 1473, 83134, 91312, 39582, 93608, 46389, 28093, 74615, 61848, 100344, 61557, 38745, 82826, 40876, 117217, 90888, 21482, 24359, 116038, 28459, 106581, 71255, 14026, 18211, 32476, 66436, 30420, 10446, 53893, 123924, 114778, 49243, 83443, 49293, 99549, 93771, 125767, 84776, 31856, 33055, 25704, 124399, 42169, 76520, 28896, 80156, 69590, 81302, 72367, 69523, 74152, 68033, 45163, 7803, 36931, 21132, 105782, 50354, 1090, 33789, 76567, 5452, 45388, 82119, 65583, 120485, 94898, 84164, 88324, 83293, 42715, 65189, 95630, 276, 78731, 81011, 107804, 31619, 89205, 32733, 1497, 103770, 87985, 114877, 80960, 77968, 113915, 47658, 113657, 82581, 78883, 43355, 99675, 36578, 125107, 50017, 98726, 16174, 54483, 69039, 6647, 15573, 40137, 40553, 72279, 94896, 13960, 116961, 26484, 16882, 58947, 12047, 107743, 90450, 42364, 45707, 12413, 37558, 58863, 12797, 65768, 86899, 4338, 111981, 127458, 697, 79683, 87035, 7396, 54378, 67917, 91450, 76064, 101663, 101788, 94611, 30789, 90004, 48014, 64698, 59409, 4699, 50892, 110867, 50410, 81310, 89232, 59580, 807, 69717, 11048, 18641, 52426, 39121, 32960, 20338, 21802, 94953, 66312, 60632, 102750, 36931, 59803, 66156, 69491, 98588, 18765, 44474, 21605, 117310, 120540, 126705, 60216, 46885, 127061, 120578, 126226, 90250, 122333, 127419, 64432, 10629, 52980, 30210, 123445, 80211, 100754, 21640, 90830, 99288, 6203, 2024, 4572, 52635, 32516, 124455, 40194, 91267, 42472, 114266, 8456, 90428, 6136, 74170, 55658, 55556, 17261, 101488, 32222, 41559, 121636, 6624, 9403, 75746, 101228, 75052, 84631, 83632, 10598, 44659, 91613, 83257, 81679, 91538, 121888, 24335, 43506, 118958, 121502, 116239, 93169, 21417, 60220, 43001, 105947, 82649, 82830, 4678, 100153, 85113, 86760, 101933, 50152, 16816, 6288, 38054, 108145, 104765, 16859, 57025, 78763, 5951, 8685, 17252, 123492, 65690, 30123, 32025, 74952, 42425, 21456, 3085, 82016, 64480, 935, 51648, 24045, 62066, 71852, 117485, 77405, 10703, 124269, 120249, 31866, 104493, 80425, 80440, 52314, 85110, 91109, 92443, 119028, 88665, 51271, 12022, 85239, 95167, 110801, 14740, 98789, 81027, 53110, 5192, 116883, 13094, 519, 49358, 104657, 87743, 13637, 57605, 92200, 1874, 114326, 98906, 113425, 77962, 123725, 86135, 56029, 15239, 30768, 106209, 69691, 124559, 106741, 33653, 127820, 82883, 95030, 45607, 50768, 23465, 93541, 35765, 119836, 6698, 121275, 82787, 42001, 29243, 82426, 41605, 65550, 56411, 95036, 27912, 27600, 56545, 27856, 23821, 58668, 22815, 14198, 78565, 115505, 57656, 123558, 62367, 44769, 102781, 83190, 97798, 9591, 20157, 56226, 49917, 119605, 122908, 48620, 126787, 5555, 107887, 5001, 94672, 12960, 44552, 120863, 85130, 6097, 26600, 38156, 45955, 25601, 80554, 29757, 16162, 1268, 18027, 32109, 50308, 70448, 11853, 56962, 111322, 32135, 48819, 88421, 38225, 111838, 11046, 63669, 112536, 80343, 8877, 126068, 126021, 553, 84103, 68138, 21222, 47390, 69445, 29010, 6558, 46458, 62493, 119347, 105718, 94444, 9296, 121464, 90981, 6381, 11026, 13663, 122771, 115033, 876, 114785, 3641, 97625, 38499, 120096, 27816, 52246, 101565, 10727, 24658, 3108, 74559, 111033, 58758, 96939, 35029, 44571, 27280, 70913, 82063, 84575, 98080, 77418, 28455, 123557, 72773, 16544, 85347, 105099, 107989, 101465, 30600, 123819, 84371, 14862, 20405, 109684, 96453, 114990, 80800, 53181, 72734, 101518, 119730, 70974, 36843, 77551, 73072, 55230, 96658, 117193, 8636, 29320, 49385, 125556, 80634, 121099, 99054, 98721, 88, 87754, 84157, 72118, 108808, 102591, 125890, 69138, 68103, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 128000, 59, 2879, 90, 38255, 11281, 1530, 90, 37542, 633, 59828, 706, 264, 16188, 3560, 304, 46620, 279, 15740, 315, 66017, 345, 20322, 1202, 1046, 2171, 290, 389, 311, 11191, 15104, 7217, 11, 28015, 323, 17876, 198, 33721, 6427, 315, 6917, 18488, 11, 311, 279, 52605, 315, 14560, 46058, 788, 198, 7323, 2212, 2307, 11191, 3776, 20349, 13, 36007, 287, 1268, 279, 198, 47692, 1614, 315, 6962, 304, 66017, 4442, 439, 264, 734, 315, 2579, 13724, 374, 198, 19041, 1348, 16996, 311, 8830, 1268, 1521, 11618, 38680, 927, 198, 9594, 76, 5848, 892, 13, 578, 5410, 1646, 315, 279, 342, 521, 788, 958, 78393, 198, 27178, 320, 47905, 8, 304, 66017, 41095, 264, 30945, 750, 78628, 481, 11298, 198, 11781, 68175, 3223, 9, 90, 1915, 25, 5162, 24, 5525, 315, 29050, 1746, 77, 1144, 15124, 220, 1041, 59836, 11, 6358, 3, 88310, 18, 32816, 8, 9439, 198, 60668, 11298, 320, 29768, 44, 8, 14726, 11, 449, 71423, 20472, 315, 400, 51, 15511, 59, 8892, 198, 220, 597, 92, 1144, 15124, 220, 1041, 59836, 11, 42, 11, 23711, 2949, 264, 4827, 89131, 1746, 77, 1144, 15124, 198, 16, 59836, 11, 6358, 3, 88310, 18, 32816, 8, 8369, 21277, 11298, 320, 38019, 44, 8, 449, 400, 51, 15511, 59, 8892, 597, 92, 1144, 15124, 198, 605, 48922, 19, 32816, 59, 11, 42, 13, 578, 468, 38425, 53765, 279, 9439, 6962, 323, 374, 304, 2543, 28772, 1534, 555, 198, 6884, 55801, 45220, 323, 8579, 1630, 82817, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 96534, 556, 25, 2550, 20, 345, 220, 26296, 556, 25, 1049, 18, 17041, 362, 4726, 4106, 1746, 51, 15511, 59, 8892, 597, 92, 1144, 15124, 220, 605, 48922, 21, 32816, 59, 11, 42, 8, 28772, 1534, 198, 8739, 574, 11784, 1139, 279, 1646, 555, 1144, 68175, 90, 26353, 42, 2176, 25, 4468, 22, 2186, 311, 198, 4711, 369, 24494, 555, 39887, 12949, 32505, 68260, 2949, 279, 958, 60297, 198, 27178, 13, 763, 279, 2254, 29849, 11, 420, 49340, 706, 7946, 198, 4291, 52784, 11026, 315, 90380, 36752, 11, 8051, 1070, 374, 1063, 198, 68, 28580, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 1548, 3742, 25, 1049, 18, 65, 11308, 1144, 68175, 3223, 9, 90, 80262, 25, 679, 18, 65, 2499, 59, 68175, 3223, 90, 44, 24648, 25, 679, 20, 5525, 430, 264, 5199, 19983, 315, 279, 468, 38425, 1253, 198, 29675, 520, 20472, 4827, 1109, 3685, 369, 3728, 4787, 315, 198, 267, 2968, 11, 23537, 5217, 18003, 950, 11618, 311, 10519, 2254, 198, 700, 76, 61002, 56411, 382, 12834, 25524, 35784, 20374, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 8, 374, 832, 315, 279, 1455, 44611, 198, 5260, 315, 279, 21277, 3507, 44, 323, 31368, 11388, 481, 1555, 3060, 198, 1820, 220, 1691, 59, 11, 6358, 477, 16333, 1543, 59060, 7288, 3, 5238, 11, 433, 374, 3629, 1511, 439, 264, 65406, 315, 198, 1820, 3544, 13230, 8141, 323, 7106, 1614, 315, 21277, 6962, 304, 198, 16876, 58088, 13, 578, 220, 1691, 59, 11, 6358, 1584, 706, 7946, 1027, 20011, 304, 10795, 287, 198, 1820, 21277, 3507, 44, 304, 279, 89819, 12424, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 26353, 5176, 554, 12, 6600, 3168, 411, 82, 25, 1049, 24, 28112, 24648, 25, 679, 20, 39942, 279, 8949, 5856, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 49436, 25, 1049, 18, 8324, 54410, 25, 1049, 20, 8324, 969, 359, 25, 1049, 24, 11, 6600, 266, 1291, 25, 679, 15, 5525, 323, 198, 10516, 32698, 13724, 29849, 320, 4151, 1144, 68175, 3223, 90, 38, 822, 16023, 21148, 25, 679, 21, 92, 369, 264, 198, 19981, 570, 4452, 11, 7953, 400, 89, 1144, 15124, 220, 15, 13, 19, 3, 20374, 68175, 3223, 90, 37, 944, 38322, 25, 679, 21, 3602, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 41353, 505, 3927, 66017, 9221, 2288, 38678, 198, 998, 387, 11388, 481, 555, 1510, 220, 1691, 59, 11, 6358, 32313, 323, 779, 584, 2011, 17631, 389, 198, 3518, 66181, 2403, 7937, 2915, 10107, 4092, 9063, 320, 1691, 59, 11, 6358, 8, 477, 30136, 198, 5063, 88, 1543, 22104, 59, 7288, 3, 8, 86901, 8336, 311, 22477, 279, 56754, 5848, 15740, 198, 1073, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 13, 578, 20155, 315, 21277, 6962, 374, 13282, 304, 198, 12156, 26005, 89131, 294, 33298, 16333, 1543, 22104, 59, 7288, 3, 15938, 1941, 320, 16931, 2170, 11, 400, 45, 15511, 59, 8892, 34511, 534, 59, 713, 80, 220, 17, 1144, 15487, 220, 605, 48922, 508, 32816, 59, 11, 6358, 3, 88310, 17, 32816, 26, 1518, 1144, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 20, 92, 369, 264, 198, 19981, 705, 902, 520, 400, 89, 1144, 70, 376, 15124, 220, 16, 13, 22, 3, 527, 11388, 481, 304, 279, 29393, 198, 68182, 969, 315, 934, 300, 1590, 13, 19241, 315, 34075, 2170, 3493, 6029, 430, 279, 25524, 198, 40625, 304, 279, 29827, 29849, 8111, 311, 387, 13263, 449, 264, 198, 27364, 82710, 21277, 3507, 44, 4528, 311, 430, 3970, 304, 279, 8949, 5856, 198, 2069, 1326, 13, 1144, 68175, 3223, 9, 90, 99598, 25, 1049, 15, 11308, 1144, 68175, 3223, 9, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 2499, 59, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 18, 65, 17041, 4452, 11, 1070, 374, 1063, 23851, 304, 279, 9439, 198, 438, 8369, 65995, 17303, 6957, 279, 423, 18326, 7187, 198, 2069, 1326, 13, 1144, 68175, 3223, 9, 90, 4438, 74, 25, 1049, 20, 11308, 1144, 68175, 3223, 90, 50, 7414, 438, 25, 1049, 20, 11, 63658, 1215, 25, 1049, 23, 2499, 59, 68175, 3223, 9, 90, 41, 1813, 34237, 25, 679, 15, 11308, 1144, 68175, 3223, 90, 79928, 9336, 25, 679, 16, 11, 36231, 9336, 25, 679, 17, 345, 220, 31663, 1247, 277, 25, 679, 19, 64, 11308, 1144, 68175, 3223, 9, 90, 34, 86558, 25, 679, 20, 11308, 1144, 68175, 3223, 9, 90, 45, 2176, 273, 1543, 25, 679, 20, 92, 3677, 791, 220, 1691, 1824, 76, 12903, 9499, 3611, 2311, 603, 459, 3062, 1584, 8838, 21430, 17795, 304, 198, 359, 114348, 287, 279, 7106, 1614, 315, 1579, 32698, 13724, 25524, 6962, 13, 1115, 198, 13832, 374, 16614, 311, 279, 11618, 430, 3521, 635, 279, 5015, 21395, 315, 198, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 304, 279, 3507, 44, 198, 11781, 68175, 3223, 90, 47, 324, 5997, 25, 6280, 21, 11, 1915, 25, 6280, 23, 11, 1915, 25, 6280, 24, 65, 8324, 1494, 6797, 25, 5162, 24, 5525, 323, 198, 19041, 1348, 80330, 279, 11388, 2968, 315, 279, 220, 1691, 59, 11, 6358, 1584, 304, 44225, 627, 644, 279, 25914, 44, 279, 12903, 9499, 374, 27800, 555, 19277, 278, 3521, 7709, 198, 438, 779, 374, 16625, 311, 279, 71423, 9499, 11, 1418, 279, 4827, 90816, 198, 258, 279, 468, 38425, 3152, 430, 279, 220, 1691, 59, 11, 6358, 9320, 374, 539, 29487, 1534, 555, 198, 17666, 6948, 1990, 279, 35784, 33299, 11, 323, 779, 6685, 10397, 84247, 555, 279, 198, 6884, 16333, 59060, 7288, 3, 25407, 2115, 9221, 3062, 13, 53123, 198, 1820, 12903, 9499, 304, 279, 468, 38425, 374, 4827, 1109, 279, 71423, 9499, 345, 258, 279, 2134, 59060, 15124, 3, 1041, 15, 1198, 220, 2636, 15, 59, 11, 42, 11911, 389, 279, 3330, 17915, 323, 198, 4174, 315, 7447, 82710, 6956, 20374, 68175, 3223, 90, 43, 285, 11949, 25, 1049, 16, 17041, 13516, 18007, 345, 1820, 12903, 9499, 17303, 505, 264, 3254, 18468, 315, 11741, 69212, 24045, 198, 3518, 66181, 374, 6273, 311, 279, 82341, 3152, 315, 279, 12903, 9499, 304, 198, 55977, 6962, 6956, 11, 37924, 555, 872, 3330, 90816, 11, 28592, 198, 782, 1325, 287, 264, 1749, 315, 4225, 14782, 279, 25914, 44, 19983, 304, 1579, 32698, 13724, 198, 46654, 382, 23912, 50369, 369, 220, 1691, 59, 11, 6358, 44225, 304, 3967, 2579, 13724, 291, 34075, 2170, 617, 1027, 1511, 198, 998, 25291, 6767, 279, 3330, 17915, 323, 12903, 9499, 315, 198, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 320, 4151, 1144, 68175, 3223, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 323, 15407, 198, 19041, 258, 570, 2684, 374, 1063, 6029, 369, 459, 5376, 320, 266, 400, 19, 59, 27362, 25956, 26101, 7908, 100104, 8, 304, 279, 12903, 9499, 315, 34075, 2170, 520, 2579, 13724, 82, 3485, 400, 89, 4125, 17, 13, 19, 55976, 323, 264, 6811, 320, 266, 400, 21, 59, 27362, 25956, 3, 26431, 8, 1990, 279, 198, 82816, 315, 12903, 20472, 304, 34075, 2170, 323, 279, 89819, 12424, 198, 11781, 68175, 3223, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 17041, 578, 61636, 430, 520, 3325, 220, 1954, 59, 11, 716, 59, 11, 1189, 198, 1073, 1579, 32698, 13724, 34075, 2170, 1253, 617, 25914, 44, 65995, 12207, 2753, 1109, 198, 9210, 17303, 369, 279, 89819, 12424, 706, 3062, 16296, 369, 279, 198, 383, 1113, 323, 28015, 315, 21277, 6962, 304, 279, 4216, 29849, 323, 6917, 198, 1659, 320, 68, 1326, 13, 1144, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 18, 64, 17041, 4452, 11, 1521, 17550, 198, 71484, 17631, 389, 279, 7347, 18539, 315, 58632, 220, 1691, 59, 11, 6358, 198, 438, 29393, 14, 23042, 828, 369, 279, 34075, 2170, 323, 22204, 4279, 2786, 1990, 279, 198, 6361, 17915, 463, 2788, 555, 279, 29393, 323, 9063, 14254, 84463, 13, 578, 1176, 198, 11407, 649, 387, 23075, 555, 18899, 279, 6205, 13443, 1555, 198, 27995, 261, 220, 1691, 59, 11, 6358, 1584, 32313, 315, 1579, 32698, 13724, 34075, 2170, 11, 719, 279, 15629, 198, 42475, 18637, 311, 1057, 38152, 323, 8830, 315, 279, 6962, 198, 82816, 304, 1521, 6067, 13, 2684, 527, 1101, 10742, 922, 279, 198, 33829, 311, 902, 279, 19983, 315, 279, 2592, 6070, 42129, 2954, 555, 198, 1820, 15938, 655, 649, 387, 17303, 304, 1855, 1887, 11, 902, 649, 1193, 387, 198, 40847, 1555, 66425, 58510, 1633, 1317, 26954, 41305, 7133, 198, 12692, 43, 8768, 570, 1102, 706, 1027, 12090, 430, 279, 13468, 15740, 304, 12903, 198, 35658, 1436, 387, 48761, 555, 32946, 922, 279, 9063, 31874, 198, 93013, 8331, 20374, 68175, 3223, 90, 17119, 6713, 25, 1049, 20, 5525, 323, 1202, 17432, 439, 264, 198, 1723, 315, 2579, 13724, 20374, 68175, 3223, 90, 17119, 6713, 25, 1049, 21, 65, 11, 13182, 6713, 25, 679, 17, 65, 92, 3677, 644, 420, 5684, 584, 2980, 459, 5603, 1701, 279, 29564, 22295, 198, 263, 279, 5578, 12903, 9499, 89253, 449, 3938, 3544, 220, 1691, 59, 11, 6358, 198, 20370, 50369, 1701, 71261, 78513, 19031, 311, 279, 15992, 38988, 4512, 265, 2982, 198, 3844, 27542, 570, 1115, 690, 7431, 9678, 23751, 315, 279, 15740, 304, 198, 42682, 9499, 520, 1579, 2579, 13724, 323, 3493, 264, 1749, 315, 21630, 279, 198, 9951, 6012, 315, 21277, 6962, 3770, 400, 89, 1144, 49153, 220, 16, 13, 22, 55976, 1405, 279, 198, 48412, 1543, 59, 4884, 59, 7288, 3, 1584, 374, 82828, 1701, 5015, 6108, 9466, 38270, 627, 644, 459, 4216, 4879, 520, 264, 36297, 18507, 220, 1691, 59, 11, 6358, 44225, 10795, 345, 59, 68175, 90, 53773, 2785, 25, 679, 16, 92, 1511, 18178, 828, 505, 279, 362, 2827, 29946, 38987, 17737, 198, 32, 2827, 29946, 445, 68775, 29970, 2982, 320, 984, 37, 984, 3711, 8, 10795, 311, 6994, 8582, 13693, 389, 198, 1820, 3330, 17915, 11900, 8141, 505, 220, 1691, 59, 11, 6358, 44225, 520, 198, 10516, 2579, 13724, 1746, 89, 1144, 645, 784, 318, 220, 15, 13, 2705, 3, 570, 4452, 11, 814, 1101, 10555, 430, 279, 198, 4174, 315, 89727, 1436, 387, 1511, 311, 1304, 304, 5006, 922, 279, 11595, 198, 1073, 279, 12903, 9499, 311, 18702, 8331, 13, 17283, 5304, 420, 990, 345, 59, 68175, 90, 54, 84, 25, 679, 20, 92, 1766, 430, 872, 8582, 13693, 389, 279, 11900, 198, 82816, 734, 17303, 505, 279, 220, 1272, 59, 11, 716, 59, 11, 1189, 8927, 37, 984, 3711, 10795, 198, 2358, 59836, 7288, 3, 7966, 1272, 26, 1144, 68175, 3223, 90, 57564, 4978, 25, 679, 16, 5525, 1436, 1193, 387, 32545, 2230, 449, 198, 48899, 1392, 505, 1023, 3428, 32698, 13724, 220, 1691, 59, 11, 6358, 32313, 422, 279, 14595, 198, 42682, 9499, 311, 18702, 8331, 11595, 574, 7191, 1109, 220, 2636, 59, 11, 42, 13, 2468, 198, 90447, 2579, 13724, 82, 11, 1144, 68175, 90, 38, 7717, 64, 25, 1049, 24, 92 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 128000, 61024, 96117, 49354, 102773, 111158, 108371, 4226, 5738, 115110, 58674, 32776, 65427, 68755, 112923, 74986, 89291, 25965, 3112, 64202, 23024, 114102, 51779, 44098, 50438, 40286, 76430, 110271, 27320, 51119, 57475, 35797, 9133, 49202, 74540, 92491, 8999, 111603, 116309, 18674, 61668, 85485, 112237, 36264, 55592, 121151, 83861, 13390, 14145, 62506, 115909, 120764, 87856, 94630, 18707, 92688, 19426, 113674, 93641, 117300, 81775, 48487, 91974, 3988, 14422, 34686, 119621, 3430, 55084, 111552, 87019, 32898, 60845, 109259, 113799, 47333, 121860, 36348, 3979, 50714, 100499, 29678, 113792, 117324, 125547, 124311, 23863, 13381, 55501, 71489, 29824, 125790, 110718, 102963, 123175, 95811, 7319, 120292, 84036, 47410, 23346, 24448, 56880, 125713, 102470, 43298, 38797, 54861, 105244, 93393, 18541, 102820, 117978, 127813, 27066, 31610, 97832, 29299, 26052, 74585, 98375, 26723, 93773, 50758, 25606, 11783, 5957, 112223, 101392, 98968, 54739, 66874, 103244, 67439, 124575, 60286, 119298, 15766, 108786, 113315, 34986, 62207, 117225, 120338, 95519, 41401, 112495, 68936, 65694, 114908, 19410, 37552, 16964, 72192, 103743, 71912, 43827, 114105, 16476, 112354, 87251, 92454, 99664, 93695, 115377, 72491, 56264, 71600, 16412, 100719, 10204, 103692, 68340, 109227, 30487, 96346, 77026, 48781, 121441, 91241, 63662, 112903, 52292, 20739, 3032, 66101, 84026, 95352, 112233, 94423, 2510, 24992, 108423, 41476, 76024, 33805, 111727, 57152, 4507, 3904, 49840, 40986, 44954, 58844, 123524, 105011, 63934, 88998, 82924, 50302, 46516, 67208, 37157, 68795, 67040, 99379, 1359, 28164, 3885, 35129, 12443, 20520, 82370, 106391, 95026, 108061, 121570, 34720, 24234, 5230, 91065, 112829, 125453, 111292, 112931, 92138, 71603, 84947, 36448, 107437, 76077, 103050, 47851, 73725, 15031, 18411, 78907, 53071, 49460, 48615, 31461, 127750, 100561, 26678, 117916, 104860, 28039, 80710, 105140, 97449, 50583, 106609, 82361, 46311, 31019, 104326, 116733, 118795, 76845, 79613, 110446, 13039, 71537, 54451, 10011, 105517, 107551, 92354, 15563, 91069, 80971, 85249, 22947, 121913, 43680, 101908, 8960, 7969, 76606, 115402, 103921, 67893, 78303, 18554, 98846, 43983, 51040, 101563, 47677, 87232, 773, 56201, 123041, 56921, 78981, 72114, 52142, 111652, 104677, 116843, 19726, 64856, 68766, 43753, 75019, 100478, 25738, 87493, 63067, 3722, 67914, 2808, 49198, 22517, 64469, 24764, 29170, 84057, 15610, 65110, 42289, 125499, 98312, 34142, 43961, 89092, 60497, 88918, 116710, 15290, 107268, 17827, 28994, 562, 124604, 8100, 76758, 121497, 101942, 107312, 66092, 29923, 11997, 102082, 68211, 103739, 127638, 62536, 8996, 32531, 34050, 51363, 124585, 81165, 106265, 113982, 32775, 26993, 33166, 58322, 40600, 125940, 19999, 85604, 61885, 83448, 94576, 52468, 22660, 118700, 94811, 13860, 101675, 8307, 65073, 122696, 54068, 37741, 85084, 99874, 74166, 98186, 36877, 25693, 13031, 111399, 8060, 40050, 36685, 96303, 50494, 75275, 115422, 123851, 60977, 44708, 80684, 88828, 120168, 100766, 6763, 16281, 80530, 63615, 42250, 116712, 105578, 115062, 78253, 20123, 46492, 82505, 44295, 56159, 78714, 19560, 67574, 63674, 22967, 91292, 112521, 80085, 70682, 557, 66880, 4148, 104420, 52930, 110664, 63560, 33353, 83396, 37616, 39621, 110418, 125996, 102019, 54083, 28542, 105739, 107295, 86749, 52372, 76462, 77388, 17623, 28197, 11315, 51306, 102241, 52725, 48567, 31307, 120303, 72402, 81981, 45546, 43235, 41206, 39320, 100962, 42361, 19337, 79944, 42733, 108456, 82392, 51866, 36349, 52842, 54832, 31719, 32227, 3795, 126787, 24636, 83775, 113221, 127329, 77006, 120152, 127976, 111895, 80049, 8390, 117719, 97468, 113175, 29645, 9615, 81999, 16538, 83690, 99481, 125334, 38328, 62028, 34885, 115910, 40772, 76449, 86454, 4864, 93204, 85271, 48695, 33943, 93656, 82624, 107997, 18878, 26581, 65075, 127200, 41005, 31522, 25215, 56944, 44409, 50867, 81936, 36625, 63256, 89709, 108444, 51991, 123775, 42514, 16642, 66380, 102221, 80645, 58749, 71177, 71726, 48846, 102892, 86738, 107819, 26249, 5872, 27098, 47374, 28267, 64258, 77890, 108429, 20168, 13676, 73572, 91761, 118461, 95267, 49726, 108921, 118882, 5721, 96481, 85896, 27734, 44761, 44512, 61512, 69471, 18270, 74800, 53476, 41775, 41015, 18465, 98702, 96516, 66219, 25691, 24971, 21530, 91702, 62664, 42960, 89878, 96009, 11241, 100840, 125981, 18658, 9475, 17363, 96201, 35001, 39005, 47538, 37510, 25848, 90473, 86039, 68226, 83817, 107376, 121632, 72156, 4662, 99784, 125577, 75246, 12931, 24443, 32454, 103006, 110438, 81983, 53949, 125757, 88166, 90042, 13080, 76855, 116361, 60737, 99282, 127592, 3020, 21426, 77094, 98184, 68046, 40068, 31163, 26067, 72056, 120169, 94568, 78104, 120563, 75717, 71483, 77105, 24246, 12090, 70226, 33531, 121386, 55589, 82909, 25218, 92804, 41413, 52632, 112269, 108755, 98157, 17855, 123035, 106218, 47651, 30588, 47146, 103746, 126110, 40208, 8399, 85206, 58013, 51618, 15439, 2138, 34745, 57043, 65627, 77097, 89238, 126330, 117559, 39667, 90867, 127515, 116350, 31170, 125439, 95710, 74106, 22441, 85008, 45213, 92224, 42584, 95335, 14202, 6342, 61785, 53578, 15839, 90717, 40106, 21687, 53759, 20583, 88996, 51254, 52492, 98730, 60542, 28380, 12791, 120584, 17364, 30278, 72830, 8841, 115100, 32878, 54083, 39667, 37124, 73966, 18541, 60586, 90240, 54260, 12608, 115886, 4589, 2528, 82537, 91480, 5819, 26001, 84245, 23208, 90549, 76546, 51675, 78760, 57471, 38051, 4610, 47579, 80204, 24577, 74601, 119008, 62357, 60316, 15294, 67757, 101295, 67678, 105030, 77231, 119909, 84567, 126087, 91367, 16714, 59584, 74525, 122421, 33251, 81949, 87455, 71060, 116177, 67028, 108361, 17144, 32092, 68120, 34504, 90473, 83987, 115493, 86025, 46519, 25273, 23914, 3711, 88905, 98976, 82385, 127612, 77175, 96650, 53440, 52845, 77598, 18331, 82824, 20119, 23346, 84742, 95399, 62854, 31069, 29309, 114949, 107512, 66302, 50845, 14376, 114409, 74651, 105174, 74738, 49322, 120934, 4601, 46784, 15797, 85279, 5775, 69093, 96942, 85283, 118113, 28885, 113345, 66199, 69345, 42889, 28443, 76564, 73812, 53245, 77576, 68039, 17218, 45051, 6601, 102273, 81534, 21408, 17662, 35208, 76123, 71930, 26309, 92533, 57749, 112553, 73756, 102303, 8463, 33738, 89735, 54964, 2284, 20284, 115287, 96896, 106214, 87021, 119646, 122905, 37518, 116715, 3488, 110236, 76727, 71257, 59815, 71983, 109231, 25874, 105509, 13692, 123206, 3531, 7237, 108080, 31128, 99064, 42438, 40292, 31481, 42771, 107862, 104552, 89020, 26615, 89484, 26750, 14501, 106098, 7294, 37048, 37440, 60096, 16415, 5101, 11332, 26783, 116266, 120427, 28959, 79791, 111922, 59341, 8973, 124653, 46609, 97649, 86695, 15839, 109614, 103272, 41303, 12759, 14817, 109836, 46944, 23524, 108499, 24728, 21060, 125952, 46453, 84244, 33758, 21412, 110017, 57397, 42479, 39796, 56115, 103611, 18291, 11425, 72336, 52381, 35629, 10292, 106781, 34296, 120995, 52280, 2062, 93341, 41041, 20, 26120, 96298, 92179, 42687, 29418, 16351, 46411, 12718, 122586, 43396, 121763, 43758, 30234, 71921, 117056, 72271, 105746, 30828, 4327, 16444, 95511, 127437, 77473, 117273, 82739, 25605, 77089, 95868, 86472, 2630, 19494, 20634, 5593, 97141, 24787, 19033, 9204, 78143, 120733, 24174, 111972, 88506, 8801, 53463, 21694, 111150, 28291, 92166, 6964, 87158, 123644, 45339, 88929, 22437, 127373, 59811, 54191, 31523, 78012, 12561, 99854, 67561, 13402, 73560, 31094, 124494, 125816, 45215, 100692, 78009, 108706, 91205, 51237, 91812, 71481, 103469, 26447, 100009, 42006, 12543, 114988, 105451, 4101, 35240, 33918, 107650, 80342, 86707, 109551, 103226, 112939, 6615, 61166, 94276, 115059, 80300, 79635, 7323, 30617, 11986, 93037, 117388, 122208, 81205, 91298, 45780, 94241, 79262, 108422, 10924, 54402, 86242, 23654, 85468, 77457, 110071, 45276, 69739, 5698, 27762, 50073, 97375, 54887, 80636, 102717, 69809, 92912, 64577, 36842, 85568, 70802, 16252, 47598, 54384, 65886, 39189, 107771, 91187, 46276, 16398, 45130, 6989, 39146, 3077, 65755, 116177, 68925, 41042, 51358, 26176, 120950, 125889, 125927, 104409, 64803, 4662, 43478, 112509, 40313, 124368, 45995, 61992, 109305, 69433, 12717, 100042, 34598, 53783, 95014, 27457, 25086, 10352, 48649, 105362, 62058, 23422, 56278, 42934, 58393, 42721, 44095, 78483, 10524, 77741, 31952, 4377, 85882, 69569, 94965, 112014, 31410, 20518, 99867, 111629, 44064, 87439, 52310, 27144, 84796, 65463, 51937, 43475, 66110, 25433, 43239, 98538, 3861, 48394, 35937, 125286, 955, 84360, 121566, 4223, 10473, 80583, 25504, 109693, 103756, 23158, 31397, 34027, 46010, 100351, 14192, 87738, 82982, 9474, 45898, 62072, 88447, 31944, 99974, 100213, 55326, 86247, 94941, 89220, 10665, 28430, 63631, 67153, 49197, 19020, 108765, 24595, 24634, 94815, 83482, 123959, 28851, 100220, 20374, 28691, 86894, 46, 127718, 113908, 92958, 122818, 51041, 122734, 80518, 125884, 3221, 21769, 15407, 48625, 9558, 21398, 110420, 70543, 107970, 26559, 46076, 84702, 93322, 73830, 117723, 77769, 3329, 82016, 2341, 17109, 29012, 76481, 75331, 1326, 113195, 123279, 102758, 55773, 21642, 7309, 12888, 110978, 81026, 81076, 18061, 106903, 24968, 17679, 101865, 36069, 75116, 105854, 79317, 81059, 70895, 53405, 42204, 111627, 18283, 25202, 1176, 31402, 84307, 21119, 127540, 29249, 58734, 65721, 110711, 100508, 27175, 120908, 27771, 55444, 76727, 121765, 35614, 36304, 92764, 32757, 100758, 11655, 37395, 1010, 117359, 14268, 105675, 124295, 69754, 63405, 25043, 71496, 29381, 3312, 74959, 20417, 14412, 126422, 123186, 84139, 22376, 47551, 8093, 15516, 36423, 35849, 76317, 20667, 118661, 80517, 54541, 99494, 74637, 102786, 77833, 276, 117824, 118272, 69159, 30639, 117449, 34342, 75260, 43035, 90912, 82182, 120565, 68346, 62877, 73709, 30452, 71151, 115850, 50569, 104012, 102924, 6038, 38326, 30490, 8767, 64037, 48507, 120603, 74387, 4288, 65610, 30032, 67878, 101592, 79025, 123707, 4924, 56012, 1998, 118059, 113272, 104149, 74040, 26215, 75395, 124284, 8951, 38389, 85154, 108845, 21237, 106488, 43685, 19184, 32161, 51055, 88370, 47640, 59066, 60149, 94993, 110548, 45379, 96599, 74517, 65946, 116587, 102749, 105307, 97156, 50340, 72786, 35588, 6395, 64266, 12980, 96464, 40115, 111255, 72217, 121325, 74284, 12120, 23261, 95560, 118825, 69713, 49538, 70000, 110381, 79907, 112710, 25581, 91451, 116243, 57498, 39157, 104443, 103051, 64348, 40013, 4479, 127338, 33951, 17766, 106045, 100377, 21831, 124085, 94664, 32798, 3659, 26609, 11719, 46225, 86278, 31897, 75864, 3257, 125773, 74384, 15035, 8594, 7000, 60699, 85673, 94751, 86132, 76214, 71229, 16495, 15815, 3955, 62478, 102991, 13317, 23349, 11514, 46787, 44316, 125826, 98727, 39231, 96989, 53364, 98094, 42878, 82642, 5740, 15666, 51449, 16838, 108570, 17030, 119414, 1330, 62443, 118740, 15910, 27056, 39676, 72672, 89528, 84798, 91399, 84986, 90211, 43552, 1989, 84058, 57308, 60274, 89073, 11447, 34055, 65890, 122668, 39938, 77447, 110028, 103202, 49411, 127365, 70477, 4941, 86102, 26321, 2126, 109761, 34888, 37211, 40954, 3998, 38768, 77526, 100530, 57266, 96797, 43766, 119158, 67655, 82271, 96241, 74052, 106505, 106280, 125001, 76728, 22796, 106306, 78432, 106931, 57937, 105665, 97570, 82812, 47191, 35261, 100391, 49742, 26882, 8114, 16914, 58188, 79449, 79645, 61442, 48544, 90915, 102954, 17650, 2762, 124624, 82927, 112684, 113967, 8546, 60707, 15936, 75154, 44672, 76713, 113402, 26940, 117877, 53522, 122417, 12702, 56114, 502, 61887, 106060, 99577, 111515, 115039, 84251, 62546, 39448, 21556, 40781, 111994, 108043, 87657, 113996, 97612, 19238, 119838, 7988, 54050, 72399, 64495, 4243, 93152, 202, 103395, 121193, 116937, 26167, 97568, 108147, 66980, 59689, 101138, 101427, 51505, 79054, 102912, 32437, 37434, 82360, 8858, 5494, 46715, 103280, 109735, 120158, 40066, 17850, 41545, 39796, 83204, 122178, 54871, 22807, 73191, 2883, 23581, 48044, 82847, 119564, 68219, 51093, 104538, 8361, 78211, 11215, 109708, 104856, 41115, 11527, 104294, 16818, 119185, 92206, 125039, 41130, 49533, 2597, 46987, 43243, 9086, 36455, 46157, 79586, 61324, 92972, 52055, 53932, 46697, 74157, 84391, 126523, 58738, 7457, 55684, 44543, 58198, 40791, 13424, 66897, 6004, 122944, 109528, 81809, 72093, 70411, 96634, 84241, 90710, 44085, 56381, 105520, 63312, 11938, 75598, 92330, 112453, 47920, 52688, 99403, 24075, 99844, 126268, 122183, 116552, 57232, 12774, 95696, 98916, 106871, 101703, 60289, 13352, 96182, 20184, 66990, 95780, 55102, 85979, 17128, 24931, 56311, 5914, 639, 74506, 112768, 76154, 117412, 26748, 8079, 105032, 80173, 41696, 63645, 26095, 15893, 110834, 62018, 44131, 79775, 65212, 46137, 40857, 98902, 64076, 28933, 10190, 83578, 113469, 104553, 100767, 7017, 77499, 1494, 84269, 113472, 90838, 26571, 64738, 119561, 51199, 78945, 74566, 121830, 69329, 127882, 110731, 13167, 35370, 114872, 72579, 84957, 54570, 34093, 33232, 121412, 111714, 14449, 31555, 48850, 37096, 13186, 54296, 10917, 34151, 25713, 18178, 42316, 51286, 90475, 11974, 120360, 72035, 206, 121917, 101022, 37900, 92353, 99466, 63386, 55895, 117577, 87137, 41832, 107713, 23106, 62700, 90350, 106036, 32899, 96485, 59282, 113107, 10298, 10370, 18912, 115018, 49658, 49994, 61399, 81365, 107591, 27197, 48174, 13879, 21911, 94365, 39021, 54300, 52355, 111967, 115626, 53643, 87375, 125441, 28931, 61876, 35500, 102532, 79405, 33285, 69253, 55024, 103416, 70949, 117233, 86157, 76817, 17974, 113647, 52062, 75468, 55896, 56543, 102710, 38090, 63603, 42396, 56986, 30991, 20145, 112923, 10227, 51156, 64443, 14005, 66767, 62601, 78681, 33030, 53599, 14688, 107142, 90919, 104461, 127619, 53910, 87201, 108424, 85586, 72840, 41251, 103042, 40662, 21557, 55463, 97351, 74582, 120935, 38086, 62143, 51380, 39954, 73893, 70282, 121162, 85672, 84148, 16943, 24325, 97921, 110258, 43615, 20634, 85796, 91132, 20474, 10626, 116867, 80766, 117229, 110286, 50369, 22364, 61235, 39655, 123519, 81016, 127468, 111332, 115375, 57715, 34172, 56365, 74965, 61456, 11684, 117835, 101428, 34399, 2166, 34917, 90281, 36922, 12383, 28911, 113906, 74639, 54458, 108636, 30031, 114812, 114019, 37354, 115823, 38425, 56570, 24253, 8600, 21518, 33922, 126573, 76222, 79445, 77458, 42913, 38431, 78192, 90593, 59808, 73035, 115286, 120504, 112056, 80629, 70675, 20596, 25031, 32693, 47943, 11249, 65870, 50736, 118229, 115549, 127017, 43199, 9405, 105349, 29395, 127963, 90953, 71981, 53202, 78741, 28341, 61583, 2356, 116255, 42542, 112270, 77590, 696, 100371, 126619, 100198, 52205, 96386, 55717, 56964, 124763, 113047, 21865, 6129, 121762, 48417, 27783, 74262, 111195, 83426, 108154, 141, 44469, 5237, 29729, 107942, 117172, 1772, 108141, 111846, 59360, 127513, 16716, 62194, 55319, 92497, 19281, 119642, 99959, 12179, 124039, 81181, 50792, 44386, 74401, 51258, 97080, 3273, 28552, 67972, 112870, 66085, 80485, 29851, 56551, 28964, 3935, 114375, 98615, 62191, 106266, 126156, 32693, 8705, 43412, 34280, 68312, 111600, 39769, 116483, 10803 ]
[ 1766, 430, 279, 1396, 17915, 315, 198, 1691, 59, 11, 6358, 15938, 1941, 304, 3967, 1144, 76, 2054, 90, 44, 70, 59, 28937, 59, 2445, 14799, 3500, 15938, 1941, 9922, 311, 198, 451, 20542, 449, 2579, 13724, 3485, 400, 89, 1144, 15124, 220, 16, 55976, 13263, 449, 264, 14278, 198, 258, 279, 25914, 44, 19983, 13, 1226, 23564, 420, 4623, 4726, 555, 24834, 198, 49864, 3938, 7029, 19677, 220, 1691, 59, 11, 6358, 32313, 649, 387, 1511, 311, 6767, 279, 198, 17645, 12903, 9499, 304, 29827, 66017, 430, 527, 9257, 304, 25524, 198, 40625, 382, 59, 2879, 90, 791, 3685, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 220, 15938, 1941, 11281, 1530, 90, 2879, 25, 7475, 5617, 633, 1687, 16430, 279, 3685, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 46654, 7119, 264, 6205, 315, 4092, 9063, 8336, 555, 38663, 279, 198, 44018, 26154, 927, 682, 14254, 84463, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 7475, 5617, 534, 220, 1144, 15479, 284, 220, 1144, 72, 396, 90, 69, 8368, 15511, 59, 8892, 34511, 2186, 55, 10929, 27362, 92650, 90, 67, 92, 55, 59, 27362, 92650, 90, 67, 92, 45, 15511, 59, 8892, 34511, 39254, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 1630, 15437, 374, 279, 11900, 8141, 439, 264, 734, 198, 1073, 3330, 17915, 1746, 45, 15511, 59, 8892, 34511, 32816, 8, 323, 470, 9308, 1853, 3160, 1746, 55, 3, 570, 1226, 198, 817, 279, 3135, 315, 3293, 32313, 369, 220, 1691, 59, 11, 6358, 41353, 304, 14373, 198, 16876, 58088, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 57, 10196, 276, 25, 1049, 20, 5525, 323, 1579, 32698, 13724, 16333, 1543, 22104, 59, 7288, 26101, 3518, 66181, 304, 279, 94193, 39069, 1588, 15064, 24507, 320, 5608, 1242, 280, 68, 1326, 13, 1144, 68175, 3223, 9, 90, 1360, 331, 17309, 25, 1049, 20, 11308, 1144, 68175, 3223, 90, 2688, 261, 3315, 3981, 25, 1049, 24, 39942, 902, 1501, 198, 9210, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 1630, 15437, 649, 387, 1719, 17820, 1534, 555, 264, 22350, 734, 315, 279, 198, 630, 198, 59, 7413, 90, 26378, 367, 534, 220, 282, 8368, 15511, 59, 8892, 34511, 2186, 1630, 8, 284, 1144, 2414, 2358, 69, 15511, 59, 561, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 10929, 2414, 2358, 45, 15511, 59, 8892, 34511, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 30876, 20597, 59, 19674, 11281, 4683, 36802, 2414, 4172, 90, 45, 15511, 59, 8892, 34511, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 9317, 59, 27362, 92650, 90, 6358, 92, 48922, 17, 1613, 59, 408, 90, 26378, 367, 534, 2940, 400, 69, 15511, 59, 561, 92, 284, 220, 15, 13, 18089, 18, 55976, 59060, 848, 15511, 605, 26628, 45, 15511, 59, 561, 5525, 284, 220, 1691, 13, 17, 3, 323, 59060, 19674, 4125, 16, 13, 1187, 3, 520, 400, 89, 284, 220, 15, 3, 20374, 68175, 3223, 90, 57, 10196, 276, 25, 1049, 20, 39942, 323, 400, 69, 15511, 59, 561, 92, 284, 220, 15, 13, 21040, 19, 3, 345, 59836, 848, 15511, 605, 26628, 45, 15511, 59, 561, 5525, 284, 220, 1691, 13, 1627, 3, 323, 59060, 19674, 284, 220, 16, 13, 1544, 3, 520, 400, 89, 1144, 49153, 220, 18, 26101, 11781, 68175, 3223, 90, 2688, 261, 3315, 3981, 25, 1049, 24, 17041, 6104, 279, 90380, 828, 656, 539, 3686, 198, 444, 78726, 4211, 369, 15740, 315, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 8141, 198, 266, 29539, 2579, 13724, 82, 1990, 400, 89, 1144, 15124, 220, 15, 13, 16, 3, 323, 198, 3, 18, 59836, 5447, 10179, 90, 33336, 1392, 315, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 55, 15437, 520, 29539, 198, 220, 2579, 13724, 82, 2586, 505, 17550, 24955, 8437, 32012, 32313, 315, 34075, 2170, 1701, 279, 198, 220, 1144, 336, 764, 90, 39, 14942, 11746, 87062, 92, 20374, 68175, 3223, 9, 90, 49, 3524, 25, 1049, 21, 2499, 220, 1144, 68175, 3223, 90, 45, 2176, 273, 1543, 25, 679, 21, 17041, 4452, 11, 4245, 311, 279, 7347, 6205, 12562, 198, 220, 1521, 527, 5131, 459, 2015, 8838, 1474, 35815, 2753, 16614, 1109, 279, 198, 220, 14373, 220, 1691, 1824, 76, 323, 1579, 32698, 13724, 29393, 16333, 1543, 22104, 59, 7288, 3, 32313, 13, 2186, 433, 198, 285, 3967, 311, 387, 1790, 43383, 1109, 279, 5199, 18174, 3970, 304, 279, 198, 9951, 6917, 12, 1659, 4478, 323, 31206, 6962, 927, 279, 1890, 16746, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 43, 81707, 25, 679, 19, 17041, 1226, 9093, 6920, 704, 264, 4382, 13790, 198, 2295, 45786, 1990, 279, 3428, 323, 1579, 2579, 13724, 40446, 311, 16430, 198, 42406, 8368, 15511, 59, 8892, 34511, 2186, 55, 15437, 439, 264, 734, 315, 2579, 13724, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 3175, 16416, 16378, 534, 59, 24232, 90, 791, 8141, 315, 220, 1691, 59, 11, 6358, 1584, 65511, 3196, 389, 6484, 198, 220, 89727, 315, 89501, 44225, 520, 400, 89, 871, 220, 15, 13, 16, 3, 320, 4151, 279, 1495, 369, 198, 220, 3649, 315, 420, 6205, 570, 578, 6205, 1404, 304, 1855, 9736, 374, 3453, 9437, 555, 198, 220, 279, 1396, 3485, 323, 1493, 25995, 79164, 279, 5410, 38664, 13, 220, 578, 198, 220, 6573, 2579, 1584, 374, 264, 1515, 53183, 5052, 311, 279, 828, 11, 505, 902, 584, 4128, 198, 220, 4288, 10688, 369, 1057, 6492, 13, 11281, 1530, 90, 18257, 25, 3175, 16416, 534, 59, 408, 90, 18257, 633, 791, 19463, 315, 54626, 459, 70275, 1887, 315, 2728, 3330, 198, 70918, 14117, 389, 279, 27541, 315, 279, 10795, 11, 279, 31405, 17915, 323, 198, 7993, 315, 279, 4092, 2592, 323, 279, 19983, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 198, 262, 602, 3500, 304, 279, 4827, 12903, 1614, 11, 2728, 555, 279, 12903, 9499, 13, 1226, 198, 14107, 279, 3330, 17915, 1746, 45, 15511, 59, 8892, 34511, 32816, 26, 304, 33299, 59, 11, 6358, 3, 88310, 17, 32816, 8, 304, 198, 18853, 315, 279, 29393, 8149, 1746, 59, 30243, 3, 8, 323, 12903, 9499, 1746, 51, 15511, 59, 8892, 198, 220, 12903, 32816, 26, 304, 735, 8, 555, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 6361, 54449, 534, 220, 452, 15511, 59, 8892, 34511, 92, 284, 220, 16, 13, 23848, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 92, 1144, 396, 36802, 30243, 3832, 10929, 92650, 90, 67, 92, 85, 1613, 59, 408, 90, 26378, 367, 534, 2940, 279, 26154, 374, 10887, 4028, 279, 57077, 1584, 304, 279, 1887, 198, 4014, 47867, 15798, 400, 85, 3, 320, 258, 13437, 59, 11, 82, 3, 88310, 16, 32816, 570, 1226, 1243, 3237, 279, 29393, 198, 18021, 304, 3878, 315, 279, 9466, 4893, 439, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 30243, 284, 482, 59, 2312, 59, 2414, 58, 16, 489, 29252, 20892, 90, 50, 11281, 2017, 272, 15511, 59, 8892, 282, 92, 50, 15511, 59, 8892, 687, 3500, 59, 1315, 1282, 59, 408, 90, 26378, 367, 534, 2940, 59060, 20892, 90, 50, 32816, 374, 279, 13468, 2349, 304, 31405, 17915, 4245, 311, 198, 3518, 66181, 11, 400, 50, 15511, 59, 8892, 687, 32816, 374, 279, 4092, 86901, 31405, 17915, 198, 438, 400, 66, 15511, 59, 8892, 282, 32816, 374, 279, 320, 61917, 9987, 8, 19983, 315, 4092, 31405, 198, 70918, 42129, 2954, 555, 279, 89501, 6962, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19988, 59, 1342, 3175, 15731, 57512, 34210, 16416, 16378, 534, 59, 24232, 90, 791, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 505, 198, 220, 279, 1925, 6205, 315, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 2186, 902, 1051, 13240, 1701, 198, 220, 279, 19983, 315, 2860, 86901, 31405, 17915, 304, 279, 934, 68038, 6332, 13, 578, 198, 220, 6205, 1404, 304, 1855, 9736, 374, 3453, 9437, 555, 279, 1396, 3485, 323, 1493, 25995, 198, 220, 79164, 279, 5410, 38664, 13, 578, 6573, 2579, 1584, 374, 279, 14113, 198, 220, 8141, 11, 505, 902, 584, 4128, 4288, 10688, 369, 1057, 198, 220, 6492, 13, 11281, 1530, 90, 18257, 49131, 869, 34210, 16416, 534, 59, 408, 90, 18257, 633, 1687, 9855, 430, 264, 3254, 89501, 1887, 649, 387, 7633, 555, 264, 198, 38, 48072, 15798, 8141, 315, 2539, 2430, 520, 4376, 7340, 320, 18723, 53248, 340, 30895, 1349, 1746, 59, 20892, 90, 85, 15511, 59, 8892, 220, 1135, 3500, 3, 8, 323, 16557, 29393, 8149, 1746, 59, 30243, 15511, 59, 8892, 198, 220, 16557, 32816, 705, 779, 430, 1144, 2784, 47852, 90, 26378, 367, 25, 6361, 54449, 92, 649, 387, 312, 67383, 198, 300, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 6361, 54449, 1928, 48072, 534, 220, 452, 15511, 59, 8892, 34511, 92, 284, 220, 16, 13, 21322, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 11281, 27362, 30243, 15511, 59, 8892, 16557, 11281, 27362, 20892, 90, 85, 15511, 59, 8892, 220, 1135, 3500, 627, 59, 408, 90, 26378, 367, 534, 2746, 584, 4726, 9855, 430, 279, 81094, 57077, 12248, 374, 49668, 11, 449, 264, 198, 20885, 38664, 59060, 25956, 15511, 59, 8892, 27114, 32816, 824, 9678, 5613, 198, 59836, 20892, 90, 85, 15511, 59, 8892, 27114, 3500, 55976, 1243, 279, 220, 20, 59836, 25956, 3, 3330, 17915, 18468, 198, 9696, 374, 2728, 555, 198, 59, 7413, 90, 26378, 367, 534, 220, 452, 15511, 20, 59, 25956, 92, 1144, 49153, 220, 16, 13, 21322, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 11281, 27362, 30243, 15511, 59, 8892, 220, 20, 59, 25956, 11281, 27362, 20892, 90, 85, 15511, 59, 8892, 5804, 22825, 59, 408, 90, 26378, 367, 534, 2940, 720, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 534, 220, 1144, 30243, 15511, 20, 59, 25956, 92, 1144, 49153, 482, 59, 2312, 59, 2414, 58, 16, 482, 314, 20, 59, 27362, 25956, 15511, 59, 8892, 27114, 11281, 2017, 272, 15511, 59, 8892, 282, 11281, 11, 50, 15511, 59, 8892, 687, 3500, 59, 27986, 36802, 20892, 90, 85, 52635, 59, 8892, 27114, 11281, 2017, 1144, 20892, 90, 85, 15511, 59, 8892, 5804, 3500, 11281, 1315, 1282, 59, 408, 90, 26378, 367, 534, 438, 59060, 20892, 90, 85, 15511, 59, 8892, 5804, 3500, 1144, 49153, 1144, 27986, 36802, 20892, 90, 85, 52635, 59, 8892, 27114, 92, 48922, 17, 92, 3694, 220, 1144, 20892, 90, 85, 52635, 1135, 92, 48922, 17, 3500, 55976, 902, 374, 279, 13468, 2430, 315, 279, 1584, 11, 2728, 198, 1729, 279, 56812, 315, 279, 7106, 15798, 8141, 323, 279, 198, 68182, 3545, 11175, 315, 279, 56925, 13, 1226, 1457, 84375, 59060, 15479, 3, 439, 279, 198, 7475, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 89727, 304, 1057, 198, 48554, 439, 264, 734, 315, 279, 3330, 17915, 27541, 3235, 1855, 198, 82, 492, 8614, 1405, 1855, 470, 9308, 1853, 2449, 198, 59836, 20869, 90, 55, 26628, 89, 15437, 59, 5447, 10179, 90, 2520, 279, 10096, 315, 420, 990, 584, 11142, 264, 10269, 198, 220, 59060, 59366, 3, 9439, 6453, 5030, 56754, 2508, 449, 400, 39, 15511, 15, 32816, 4125, 220, 220, 2031, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 11, 59060, 78435, 57114, 92650, 90, 44, 32816, 284, 220, 15, 13, 18, 323, 59060, 78435, 15511, 59, 59366, 32816, 4125, 220, 220, 15, 13, 22, 13, 335, 220, 304, 279, 26154, 4613, 555, 198, 59, 2784, 47852, 90, 26378, 367, 25, 7475, 5617, 92, 374, 2728, 555, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 20869, 90, 55, 26628, 89, 11992, 720, 59, 7413, 90, 24857, 534, 220, 29252, 20869, 90, 89, 11281, 13247, 16, 94052, 30876, 90, 17, 11281, 2017, 1144, 27986, 97165, 16, 94052, 30876, 90, 17, 26628, 16, 94052, 59, 78435, 15511, 59, 8892, 198, 286, 386, 5525, 12, 89, 13476, 10, 17, 10929, 78435, 15511, 59, 8892, 1144, 59366, 3500, 2186 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 27962, 50217, 60679, 63132, 78041, 38990, 37804, 49741, 106518, 6192, 73973, 93193, 58888, 98917, 44530, 740, 63664, 11429, 12845, 112186, 69494, 114124, 58244, 12618, 54243, 124640, 90816, 18740, 63376, 93572, 15288, 82132, 2263, 7635, 110892, 121394, 20470, 25208, 123532, 96962, 101411, 4514, 20318, 43518, 88152, 77913, 96972, 39160, 88076, 22293, 81677, 77994, 51812, 83828, 77583, 99809, 50082, 49128, 81908, 46164, 122762, 27495, 110817, 116423, 71594, 111173, 23363, 30351, 13414, 35420, 30428, 72602, 126300, 108165, 111635, 96879, 3786, 363, 3029, 125003, 125763, 33260, 72461, 62473, 19418, 18838, 54910, 119236, 73840, 33243, 91148, 37387, 88568, 83571, 17845, 30480, 83298, 86892, 54955, 17754, 24654, 83365, 38136, 20747, 26560, 96257, 122788, 124831, 99397, 1631, 38920, 77034, 16032, 39067, 98305, 41786, 90612, 41322, 112468, 50354, 29468, 102058, 59974, 95705, 8979, 109241, 39795, 104980, 50376, 53590, 116983, 10220, 89899, 107325, 1235, 103651, 33453, 43294, 94381, 117040, 54242, 65284, 38679, 55025, 29903, 101144, 28376, 109291, 49926, 9822, 112604, 21829, 53479, 4743, 64805, 9702, 42576, 18667, 101658, 40009, 21914, 35426, 44616, 24497, 94650, 124781, 537, 68130, 93109, 64707, 54479, 96141, 71190, 70938, 89130, 71718, 110319, 31676, 49597, 43003, 76325, 62237, 104924, 49062, 12288, 44086, 43156, 83207, 60208, 120967, 22989, 121242, 104805, 18600, 99593, 12795, 61357, 59341, 34622, 27177, 112355, 57129, 86918, 87993, 111291, 127124, 121734, 36030, 16683, 39199, 67746, 92153, 88322, 116824, 71481, 41011, 78790, 10288, 35014, 76195, 51580, 38881, 7830, 101468, 76464, 65250, 75677, 88098, 124772, 127218, 83785, 26320, 26409, 13320, 30004, 74259, 114784, 72717, 99670, 79907, 28695, 80298, 70387, 117774, 87459, 88872, 111213, 102229, 117235, 4988, 111536, 83877, 31916, 23524, 44349, 55169, 83900, 45039, 27630, 92930, 13673, 104503, 69347, 103487, 91638, 92253, 84508, 89993, 54537, 86063, 71063, 21599, 35466, 48689, 28309, 36797, 121360, 123285, 127181, 40706, 88738, 102869, 29106, 57205, 95712, 100864, 45142, 102830, 64636, 43326, 12056, 66716, 59123, 54512, 114988, 42074, 36223, 3039, 35891, 58758, 18687, 22534, 92423, 54989, 33986, 33430, 76562, 12525, 127350, 81910, 81571, 85929, 102258, 8989, 26598, 122773, 107056, 28951, 50856, 36359, 33771, 77755, 90527, 26754, 124908, 16472, 61919, 116118, 45531, 99055, 62939, 123010, 90698, 127637, 10935, 84982, 111734, 126952, 62378, 9739, 111133, 15092, 124839, 74275, 90903, 21865, 127098, 26146, 113430, 29087, 120052, 71821, 23599, 7530, 75538, 33292, 12701, 13768, 29082, 31666, 76434, 121220, 9574, 127948, 106926, 102267, 38695, 75565, 91325, 120852, 126561, 107080, 78976, 8070, 75163, 15099, 40747, 66675, 84414, 50103, 75664, 64656, 29108, 19972, 73268, 59197, 20819, 35987, 127663, 16106, 108370, 62207, 76047, 119515, 80027, 14506, 54931, 44247, 111672, 1950, 17983, 94348, 10653, 33586, 85456, 54500, 85188, 84838, 42984, 62711, 97662, 67726, 4391, 119562, 123353, 81101, 56447, 75116, 24810, 34655, 90261, 46804, 114179, 106595, 64236, 56043, 15713, 9457, 29320, 10932, 71478, 51795, 120783, 38521, 93581, 45220, 100522, 8833, 24009, 45617, 121848, 42624, 9985, 75104, 96896, 90779, 120798, 37512, 102801, 44396, 118648, 22204, 17631, 109533, 90928, 70379, 24325, 106009, 51909, 115757, 60501, 119155, 120601, 121208, 55235, 41886, 110107, 17423, 54926, 113558, 67835, 48406, 77686, 121863, 23480, 65802, 18859, 54203, 112768, 60715, 75359, 113620, 57058, 44678, 66697, 33677, 1260, 81050, 12187, 28932, 42461, 62526, 80104, 114912, 70047, 39025, 27359, 49933, 83024, 79206, 109773, 30592, 95210, 60196, 103053, 68549, 126423, 71191, 65927, 59499, 61639, 65174, 80713, 109358, 117989, 96987, 119612, 114446, 116141, 127137, 65867, 31811, 33938, 91121, 92065, 84896, 833, 9874, 125272, 35213, 114009, 19522, 97105, 19125, 94723, 20924, 2958, 23673, 99390, 99123, 55309, 2898, 109375, 19926, 61804, 27752, 13315, 108526, 38271, 48758, 115622, 50847, 65959, 75129, 63864, 30157, 49879, 15319, 124576, 41615, 70425, 112433, 41150, 13075, 57864, 55470, 87781, 20237, 77115, 36936, 43800, 103909, 75256, 111148, 72893, 122133, 26915, 21503, 67088, 64903, 20426, 33610, 26993, 37143, 86216, 54783, 14216, 49795, 70141, 80980, 3106, 120894, 15187, 101301, 106883, 27243, 123336, 23003, 60458, 63258, 113241, 8426, 15745, 14048, 7018, 102465, 33668, 25299, 7767, 93057, 32641, 36844, 26713, 111504, 100917, 124429, 88876, 72814, 44496, 106700, 43840, 59241, 101607, 60581, 89438, 21069, 25946, 55324, 36736, 105338, 64371, 91911, 10469, 69260, 64124, 14010, 17311, 83024, 45606, 118993, 14474, 125018, 104609, 92961, 52484, 54796, 111436, 89115, 80961, 51400, 19341, 20333, 75662, 77262, 21104, 47107, 73734, 19728, 122970, 85096, 109544, 122202, 99562, 56255, 25384, 57516, 49172, 67681, 27081, 118580, 92486, 103553, 92710, 107138, 119721, 73526, 127222, 106972, 96181, 121929, 26996, 25165, 5804, 79109, 78544, 3938, 38510, 100304, 53865, 45413, 116951, 63965, 42684, 10853, 74259, 66183, 78145, 77326, 22316, 69608, 86897, 9122, 75245, 123261, 13400, 86529, 98163, 127, 94502, 52648, 90949, 72899, 88093, 57983, 105105, 63685, 67886, 35729, 45335, 86734, 134, 124392, 102151, 96920, 72289, 61290, 61445, 123019, 68943, 95336, 52662, 15628, 89631, 357, 51870, 111981, 47373, 99129, 37651, 113994, 94650, 55341, 106735, 4760, 52487, 62081, 64385, 34376, 62616, 106517, 66410, 110109, 33544, 50886, 112517, 56030, 89673, 71802, 51628, 114341, 12331, 44954, 77678, 14860, 60177, 83745, 126661, 60620, 93701, 6862, 61436, 113704, 22760, 34863, 77105, 19599, 31655, 48668, 64360, 45602, 43950, 66915, 106345, 36969, 36703, 53075, 20369, 57729, 119341, 67956, 107439, 70829, 122121, 122261, 119404, 40402, 19976, 21704, 73486, 99171, 46551, 87133, 58258, 100616, 42180, 172, 81905, 109852, 113476, 19874, 56226, 108993, 2052, 75277, 89993, 98091, 47475, 67409, 99810, 30299, 33967, 45547, 39911, 70564, 23314, 74239, 71445, 12405, 78694, 81588, 23685, 84015, 56074, 41465, 30221, 36583, 5495, 113907, 57852, 71751, 62272, 123220, 9079, 21114, 94691, 19383, 60808, 123635, 6276, 66205, 60154, 1582, 80819, 14117, 37716, 126099, 30220, 97152, 61131, 107013, 27859, 30503, 37520, 65187, 82461, 14388, 19357, 802, 15318, 35239, 52033, 40660, 46236, 31102, 112477, 2271, 24771, 54868, 11453, 45088, 63355, 48108, 77288, 101545, 105511, 10252, 33835, 28985, 36522, 88226, 80869, 100216, 64129, 22426, 31253, 11307, 81213, 124836, 96832, 56954, 54706, 37961, 54259, 106382, 7394, 6434, 78346, 63225, 82333, 104113, 53320, 30976, 114038, 36461, 47201, 11275, 118144, 81946, 69345, 96545, 15192, 20944, 65956, 78622, 80595, 22430, 47283, 48173, 86446, 31933, 83967, 22633, 68695, 75346, 66927, 64645, 111493, 49786, 127782, 60419, 34611, 35519, 7767, 56470, 22634, 10232, 89728, 12798, 73275, 80752, 82576, 90524, 65850, 24132, 38367, 123175, 80493, 10785, 101736, 56385, 77317, 59657, 46189, 113986, 40236, 44414, 23737, 105803, 94622, 101162, 76189, 112305, 14338, 108858, 63759, 31977, 26605, 70528, 36206, 84978, 41313, 19475, 14734, 29427, 36268, 37690, 2081, 77280, 33700, 85554, 33222, 67680, 8604, 97580, 36283, 19969, 120551, 67990, 111983, 63668, 117946, 18442, 48098, 48003, 27212, 8300, 37480, 120516, 19721, 51067, 104829, 8953, 83377, 124659, 102325, 40142, 55374, 125182, 29484, 2184, 41158, 30336, 21262, 41039, 76249, 64803, 35628, 11518, 93048, 44292, 36700, 68778, 87977, 49853, 103706, 73853, 125760, 2436, 113714, 29161, 22082, 66664, 122044, 27955, 73877, 78912, 88699, 123534, 25539, 91636, 67931, 72305, 43417, 69056, 55236, 75755, 44484, 97629, 44904, 96413, 37952, 33085, 38604, 2527, 78215, 74816, 99109, 108179, 115927, 85518, 8889, 5335, 24877, 106394, 11317, 48848, 81455, 23934, 87663, 12210, 41283, 17219, 1664, 27311, 32786, 106969, 92654, 71613, 75405, 22795, 42238, 53560, 48431, 71089, 49242, 25794, 118802, 104897, 26302, 97906, 87983, 54893, 118704, 18190, 111738, 112192, 116246, 68957, 83405, 68806, 33608, 119276, 13127, 111825, 18259, 106250, 15282, 50048, 18251, 84041, 3092, 107345, 111828, 63674, 21548, 7, 16845, 17441, 57964, 88767, 34624, 101861, 115126, 51771, 83444, 16862, 112911, 122982, 111738, 65094, 126118, 6035, 67885, 101074, 57101, 66669, 23136, 117761, 52024, 12674, 60449, 46866, 110596, 107285, 59132, 112520, 88275, 10925, 59395, 122526, 30879, 13397, 90671, 10529, 32088, 36612, 88124, 81374, 119101, 127055, 9022, 5512, 101628, 7369, 40444, 21178, 94649, 68576, 50786, 123152, 105544, 84541, 63073, 3273, 66965, 96620, 5146, 118529, 85517, 106224, 23617, 88023, 96716, 62625, 98699, 52009, 106225, 61339, 55951, 37616, 8335, 76458, 43772, 59633, 89684, 96830, 120489, 88866, 83373, 74463, 101950, 94451, 48234, 73595, 22723, 23916, 100266, 87816, 49057, 4682, 102006, 87731, 49872, 85431, 99408, 78387, 35785, 52835, 58196, 108408, 72939, 68099, 106394, 111513, 15653, 39418, 43146, 55413, 46899, 17818, 20537, 27490, 18499, 64450, 92244, 45909, 26914, 12689, 81082, 67834, 60279, 36924, 70314, 119439, 54501, 40707, 8504, 83766, 47354, 95119, 108621, 13646, 5674, 89765, 81377, 80862, 120369, 48109, 66357, 46787, 79174, 56407, 64906, 93145, 52871, 7852, 28976, 64681, 108311, 108485, 78351, 27218, 31127, 46811, 106806, 59657, 55029, 18087, 44512, 55161, 4313, 27737, 90554, 62301, 10433, 109098, 42360, 63359, 119587, 40338, 57876, 92551, 67470, 60745, 73067, 96098, 29649, 46100, 110980, 116711, 96969, 18590, 105354, 116279, 87649, 119934, 120993, 47351, 48200, 28385, 104867, 126994, 43014, 99309, 48785, 34326, 124940, 109164, 24838, 72954, 19603, 15773, 80894, 98228, 73381, 90687, 108330, 123591, 67015, 104811, 17894, 21829, 84753, 11178, 3563, 119856, 2655, 116785, 36187, 48326, 119788, 124966, 15340, 36096, 37054, 62908, 89264, 120252, 104370, 107652, 61628, 19333, 111193, 111856, 90124, 101459, 21585, 79710, 1288, 56111, 91956, 19906, 59530, 27686, 11175, 13044, 85167, 96826, 82304, 39138, 79746, 42237, 17780, 88669, 66613, 110630, 74216, 32645, 40024, 53098, 7558, 100980, 8874, 67465, 78140, 108161, 72041, 59281, 66868, 12525, 107489, 93800, 70370, 24249, 121391, 52744, 93609, 125619, 38096, 28141, 108700, 110958, 118286, 82800, 57845, 71093, 38085, 7451, 68707, 22789, 9837, 102569, 50151, 91746, 97951, 92559, 5322, 49924, 127922, 41075, 10624, 30250, 102586, 102142, 85833, 120411, 38090, 19426, 33210, 60438, 32853, 22563, 58314, 34168, 111810, 85907, 50324, 115679, 119137, 122309, 24539, 71394, 69396, 51259, 93357, 81414, 30783, 93784, 58718, 1148, 62936, 83672, 125430, 127381, 14064, 68895, 112801, 101165, 38278, 65911, 78986, 68998, 107053, 104617, 4592, 118854, 125570, 25299, 43802, 35987, 3962, 39793, 126930, 121543, 106128, 45521, 101616, 55519, 101310, 45, 106979, 111386, 120209, 6431, 24050, 64970, 61323, 121247, 124620, 108185, 75635, 37104, 68860, 110776, 43975, 30756, 70537, 42361, 34708, 51363, 105755, 10453, 49156, 81780, 21412, 124799, 91098, 86060, 38163, 59688, 101627, 13742, 50699, 121349, 69294, 69109, 115787, 36509, 14998, 93135, 107811, 23125, 63578, 96694, 43568, 32775, 11893, 27017, 100140, 84289, 85161, 1961, 95506, 4256, 90888, 28066, 58288, 60996, 5940, 50116, 30103, 15422, 81956, 55887, 86623, 50842, 68720, 95969, 72624, 98741, 121542, 34593, 91022, 108802, 53307, 72444, 28392, 108799, 3102, 124246, 11360, 44147, 56847, 127440, 56340, 91231, 10605, 106029, 104144, 29609, 92927, 22472, 83622, 124473, 119132, 10290, 85799, 114572, 50633, 53053, 82987, 61022, 100230, 20132, 121220, 93559, 64700, 75172, 13489, 46963, 109971, 90635, 43392, 38231, 76620, 82359, 11400, 122045, 127120, 14733, 103611, 61556, 67286, 82605, 52484, 19892, 103678, 5789, 51079, 23207, 28083, 40417, 27737, 73307, 80360, 81727, 16145, 12388, 115443, 127901, 21385, 109810, 3604, 22483, 50654, 56029, 59843, 4063, 71920, 38488, 14282, 13775, 54244, 26324, 106989, 29728, 7608, 107429, 109813, 38297, 107544, 34095, 75042, 96080, 24376, 52037, 17428, 101964, 74514, 47133, 89688, 109576, 103796, 11165, 43877, 22116, 88920, 39331, 50367, 112714, 81830, 76392, 24333, 97201, 32447, 54502, 498, 67434, 3931, 59984, 68791, 75421, 109507, 106250, 126911, 2424, 68941, 126149, 38635, 116701, 42230, 107452, 46418, 90642, 1954, 10177, 56376, 107004, 87129, 31915, 78709, 41623, 46902, 54156, 111126, 79016, 44957, 116727, 80096, 13174, 72468, 15851, 79286, 81566, 41303, 71328, 55133, 65047, 108309, 9613, 17040, 39681, 81881, 45758, 101388, 16313, 32505, 39840, 58995, 68058, 86948, 120308, 79969, 122939, 70244, 45134, 20459, 1946, 111633, 57297, 85568, 20273, 60260, 43091, 116337, 10865, 59516, 60513, 111316, 26103, 17201, 81605, 40409, 44025, 109810, 26242, 37075, 35016, 46820, 55135, 15975, 108096, 74776, 50745, 14127, 75849, 97461, 17246, 20147, 72354, 60218, 29858, 41664, 21702, 33907, 797, 71888, 67866, 31471, 117133, 103871, 31884, 127791, 121427, 96023, 106548, 97706, 89085, 96963, 26418, 95719, 66751, 126694, 77814, 97058, 98522, 39774, 688, 124807, 85233, 32522, 72262, 88183, 89986, 9532, 22945, 61949, 99324, 38907, 68311, 113304, 6726, 66630, 109402, 116246, 33943, 7760, 19006, 96911, 49524, 4679, 43615, 83431, 2539, 98095, 13500, 114888, 95850, 112504, 46419, 73298, 71375, 4860, 53053, 3179, 122585, 23383, 34256, 86826, 42978, 1173, 829, 113008, 2654, 21430, 18155, 103411, 36622, 30410, 67679, 55925, 98160, 100889, 70919, 17645, 29319, 16560, 73357, 55069, 34920, 52394, 106699, 118165, 9542, 77999, 110542, 33996, 32077, 85486, 122970, 117718, 118757, 55413, 126835, 101370, 44172, 119858, 84624, 70432, 114967, 39687, 41431, 124790, 47625, 31470, 90548, 48991, 59633, 97664, 7558, 35062, 21122, 61137, 27443, 6342, 124955, 96501, 98282, 3210, 126707, 27199, 119949, 94201, 62552, 84306, 29443, 24162, 80145, 77830, 125530, 99767, 21033, 12475, 40984, 20566, 123682, 69877, 26925, 16872, 81023, 58204, 84613, 51041, 1846, 9088, 31463, 104999, 93994, 89178, 125481, 98691, 111332, 53361, 17656, 4382, 117817, 10162, 66387, 119098, 58943, 109197, 67740, 87288, 5187, 112682, 118762, 108264, 45803, 7379, 30803, 10414, 22650, 93328, 104538, 23234, 117993, 3062, 87152, 93214, 6754, 2459, 33557, 100509, 117618, 72037, 102442, 63634, 40858, 40230, 11057, 20056, 56880, 15053, 96169, 94919, 125637, 57771, 113655, 31723, 70563, 65606, 22291, 58964, 114624, 119836, 64399, 7785, 21111, 114157, 89610, 29900, 123459, 88337, 107240, 108807, 97878, 34176, 20756, 116551, 122337, 88041, 51578, 72213, 110075, 89369, 21853, 96436, 121813, 36059, 25892, 102009, 67479, 41029, 121380, 84256, 72332, 13583, 92516, 121442, 56935, 13071, 76330, 95205, 34924, 7997, 122229, 83899, 19017, 34182, 125814, 66318, 27502, 5131, 84283, 63878, 16370, 20430, 113491, 87471, 33341, 50526, 3586, 7248, 74212, 112027, 49842, 112625, 81806 ]
[612,1144,1342,90,333,11281,452,15511,59,8892,34511,92,1144,713,80,452,15511,20,59,25956,2186,91255,(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)	[15893,36234,67673,112802,127828,55512,28596,92295,13326,10406,32608,90453,111566,104855,64625,10574(...TRUNCATED)
[279,7200,382,59,7413,90,18257,534,59,3133,287,198,59,1012,32785,58,3175,28,15,13,19799,59,1342,3175(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)	[58807,59837,87110,106973,66068,111839,117174,8676,112737,60419,77400,78054,32852,87757,15011,99864,(...TRUNCATED)
[1144,92650,90,68,92,88310,59,2017,1074,36802,15479,22825,59,408,90,26378,367,534,2940,59060,2017,10(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)	[10468,33836,4481,24401,56794,1521,28325,120372,91784,4536,39031,40346,12900,45266,29838,95182,5108,(...TRUNCATED)

[ 128000, 59, 2879, 90, 38255, 534, 10267, 400, 38, 3, 387, 264, 4382, 2073, 75712, 4876, 449, 279, 1144, 1342, 275, 90, 12356, 743, 92, 400, 53, 6838, 15437, 323, 279, 1144, 1342, 275, 90, 7334, 743, 92, 400, 36, 6838, 8, 13244, 362, 12202, 449, 8547, 832, 374, 2663, 264, 1144, 1342, 275, 90, 3825, 519, 12202, 7966, 578, 6138, 1990, 279, 17672, 400, 84, 3, 323, 400, 85, 3, 304, 4876, 400, 38, 3, 374, 3453, 9437, 555, 400, 67, 2712, 8317, 14605, 8, 13244, 362, 11008, 400, 34, 3, 374, 2663, 1144, 1342, 275, 90, 331, 541, 1752, 92, 422, 400, 34, 3, 706, 912, 1144, 1342, 275, 90, 22352, 44321, 92, 320, 9210, 374, 459, 6964, 539, 304, 279, 6964, 743, 315, 400, 34, 3, 6832, 37442, 10457, 389, 279, 17672, 315, 400, 34, 3, 4390, 791, 1144, 1342, 275, 90, 1451, 24921, 1207, 4539, 92, 389, 12202, 743, 400, 50, 3, 374, 3453, 9437, 555, 59060, 71900, 328, 12285, 4134, 13244, 362, 1853, 430, 8638, 304, 400, 85, 3, 323, 10548, 304, 400, 84, 3, 374, 3453, 9437, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 577, 32816, 627, 32, 1144, 1342, 275, 90, 15417, 481, 92, 4876, 374, 264, 4876, 430, 50326, 264, 24051, 1122, 1853, 627, 644, 264, 4876, 400, 38, 55976, 584, 2019, 430, 264, 11008, 400, 34, 3, 374, 1144, 1342, 275, 90, 10365, 555, 279, 1853, 92, 400, 48, 3, 422, 400, 765, 469, 3100, 8, 1144, 751, 39465, 469, 6386, 8, 765, 284, 220, 16, 8842, 2100, 1475, 12202, 315, 400, 34, 3, 17623, 311, 400, 53, 6386, 15437, 382, 644, 220, 679, 16, 279, 2768, 87015, 554, 574, 11223, 512, 59, 7413, 90, 444, 585, 554, 26628, 39, 1885, 18022, 24540, 16172, 76958, 1144, 68175, 90, 94404, 1543, 3602, 10267, 400, 38, 3, 387, 264, 8599, 41999, 4876, 13, 5112, 400, 38, 3, 706, 264, 66266, 1139, 264, 56886, 5021, 11, 264, 12864, 323, 264, 3070, 315, 25492, 382, 59, 408, 90, 444, 585, 554, 534, 1128, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 1101, 8111, 304, 22854, 220, 20571, 1144, 68175, 90, 11860, 20110, 7966, 2684, 527, 264, 2478, 7276, 3135, 3967, 369, 1221, 585, 554, 1144, 1820, 444, 585, 554, 13, 735, 537, 5059, 4657, 1144, 68175, 70194, 537, 59829, 92, 14000, 430, 279, 32284, 268, 4876, 11, 279, 550, 13978, 927, 25492, 11, 323, 1690, 1023, 40099, 617, 264, 66266, 12974, 304, 1221, 585, 554, 1144, 1820, 444, 585, 554, 13, 36704, 79853, 323, 32269, 1144, 68175, 90, 9700, 79853, 92, 19168, 430, 279, 87015, 554, 10187, 369, 220, 18, 73288, 41999, 11277, 40099, 13, 24296, 11, 433, 574, 19168, 555, 42258, 12711, 1144, 68175, 90, 35638, 12711, 92, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 374, 837, 369, 1475, 220, 18, 73288, 41999, 4876, 23711, 304, 5801, 355, 477, 43241, 1481, 63218, 13, 16762, 2308, 72, 11, 65109, 323, 328, 22099, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 8710, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 374, 837, 369, 24051, 1122, 41999, 40099, 382, 644, 420, 5684, 11, 584, 1501, 430, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 11917, 481, 41999, 40099, 627, 59, 2879, 90, 10001, 534, 10438, 39858, 279, 1925, 1121, 11, 584, 1205, 279, 2768, 19340, 627, 59, 7413, 90, 9830, 534, 59, 1530, 90, 9830, 25, 16, 534, 10267, 400, 38, 3, 387, 264, 41999, 4876, 13, 83710, 430, 400, 53, 6838, 15437, 649, 387, 17071, 291, 1139, 264, 5021, 400, 51, 3, 323, 1913, 275, 989, 1690, 25492, 1778, 430, 1070, 374, 912, 6964, 1990, 904, 6857, 315, 25492, 320, 1962, 14647, 12742, 25492, 705, 323, 1475, 42844, 12202, 315, 400, 51, 3, 374, 24894, 311, 520, 3325, 832, 12202, 315, 264, 11008, 13, 5112, 11, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 400, 38, 3, 627, 59, 408, 90, 9830, 534, 59, 7413, 90, 16157, 534, 1383, 25329, 11, 1475, 12202, 315, 1855, 11008, 304, 279, 17071, 374, 24894, 311, 7041, 832, 12202, 315, 400, 51, 13244, 7290, 279, 743, 315, 682, 13116, 449, 832, 15233, 304, 264, 11008, 323, 2500, 15233, 304, 400, 51, 3, 555, 400, 48, 3, 627, 75471, 11, 279, 36572, 1207, 4539, 389, 400, 36, 4233, 8, 1144, 37765, 1229, 3, 374, 264, 56886, 5021, 315, 400, 38, 13244, 1226, 1650, 433, 400, 51, 6, 13244, 7181, 430, 1475, 6964, 1990, 264, 42844, 12202, 315, 400, 51, 3, 323, 279, 11552, 315, 25492, 304, 279, 17071, 374, 1101, 13282, 304, 400, 51, 6, 13244, 14636, 11, 1475, 42844, 12202, 315, 400, 51, 45801, 374, 13282, 304, 264, 11008, 315, 279, 17071, 13, 4800, 11, 2980, 279, 4876, 400, 39, 284, 480, 1144, 751, 39465, 469, 4233, 873, 13244, 1789, 1475, 400, 85, 1144, 258, 650, 4233, 15437, 11, 400, 67, 2083, 3832, 8, 1144, 273, 80, 220, 16, 13244, 2100, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 400, 38, 13244, 1144, 85, 8920, 90, 16, 336, 534, 59, 408, 90, 16157, 3818, 1734, 78, 33940, 59, 1342, 13536, 90, 49945, 220, 16, 13, 534, 59, 1530, 90, 38548, 25, 16, 534, 10267, 400, 34, 3, 387, 264, 11008, 14454, 555, 279, 1853, 400, 48, 13244, 5112, 9539, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 400, 48, 3, 382, 7184, 11, 584, 527, 304, 264, 2361, 311, 12391, 279, 1925, 1121, 382, 59, 7413, 90, 32615, 534, 1128, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 369, 11917, 481, 41999, 40099, 627, 59, 408, 90, 32615, 534, 59, 7413, 90, 16157, 534, 10267, 400, 38, 3, 387, 264, 11917, 481, 41999, 4876, 323, 400, 47, 551, 348, 62, 16, 11, 1144, 68916, 11, 348, 1107, 3, 387, 264, 24051, 1122, 1853, 304, 400, 38, 13244, 3296, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 2186, 1221, 585, 554, 362, 10187, 369, 400, 85, 62, 16, 348, 1107, 220, 1144, 258, 469, 6838, 8, 13244, 14636, 584, 649, 9855, 430, 400, 85, 62, 16, 348, 1107, 220, 1144, 84880, 469, 6838, 8, 13244, 6914, 400, 85, 62, 16, 348, 5487, 11, 348, 62, 16, 348, 15511, 73, 25762, 348, 5431, 348, 1107, 11, 348, 15511, 72, 8439, 348, 1107, 1144, 258, 469, 6838, 10929, 751, 39465, 469, 5417, 15437, 220, 323, 400, 73, 6, 366, 503, 366, 308, 55976, 400, 16, 366, 602, 366, 602, 6, 13244, 9220, 5157, 649, 12446, 512, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1224, 198, 59, 1342, 13536, 90, 4301, 220, 16, 13, 534, 5733, 3972, 430, 400, 72, 366, 503, 13244, 21829, 279, 2768, 4876, 304, 19575, 1144, 1116, 90, 915, 25, 2017, 91719, 92, 304, 902, 279, 12314, 13116, 79164, 279, 1853, 400, 47, 13244, 7290, 279, 2380, 13006, 1990, 400, 85, 5487, 3, 323, 400, 85, 5431, 55976, 505, 279, 2163, 311, 279, 1314, 11, 555, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 55976, 15947, 320, 10179, 430, 400, 47, 62, 16, 3, 5727, 279, 6964, 400, 68, 45801, 323, 400, 47, 62, 18, 3, 5727, 279, 6964, 400, 68, 3, 3677, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 14, 2017, 91719, 16378, 534, 262, 1144, 24232, 90, 27999, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 3, 534, 262, 1144, 1530, 90, 915, 25, 2017, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 3818, 2746, 400, 47, 62, 17, 3, 706, 2015, 400, 17, 55976, 1243, 400, 38, 3, 374, 24051, 1122, 323, 779, 555, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 13, 14636, 584, 649, 9855, 430, 400, 47, 62, 16, 55976, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 3, 617, 2015, 520, 3325, 400, 18, 13244, 4800, 11, 2980, 279, 2768, 1207, 24857, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1530, 90, 5756, 25, 16, 534, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 16, 13, 92, 2684, 374, 912, 6964, 1990, 400, 53, 5417, 1745, 15437, 323, 400, 53, 5417, 646, 15437, 369, 400, 16, 1144, 273, 80, 436, 366, 274, 1144, 273, 80, 220, 18, 13244, 8876, 1475, 12202, 315, 400, 47, 5431, 3, 706, 8547, 220, 18, 369, 1475, 400, 72, 55976, 555, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 32816, 59, 4884, 1070, 527, 1403, 44321, 1752, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 14454, 555, 400, 47, 62, 16, 3, 323, 400, 47, 62, 17, 55976, 15947, 627, 36438, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 59, 16010, 8, 1144, 16548, 11600, 1144, 16548, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16548, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 271, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 17, 13, 534, 59, 1530, 90, 5756, 25, 7334, 534, 3947, 6866, 520, 3325, 832, 6964, 1990, 1063, 400, 47, 1745, 3, 323, 400, 47, 646, 55976, 400, 81, 45147, 13244, 3161, 912, 4814, 315, 1803, 2786, 11, 9855, 430, 400, 81, 28, 16, 3, 323, 400, 82, 28, 17, 13244, 83710, 430, 400, 370, 1144, 258, 469, 6838, 15437, 11, 1405, 400, 64, 1144, 258, 650, 5417, 62, 16, 15437, 11, 400, 65, 1144, 258, 650, 5417, 62, 17, 15437, 323, 400, 67, 15511, 47, 62, 16, 26628, 85, 5487, 11, 264, 8, 489, 294, 15511, 47, 62, 17, 26628, 85, 5487, 11, 293, 15437, 374, 8187, 382, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 14, 370, 16378, 534, 262, 1144, 24232, 90, 791, 6964, 400, 370, 3, 1990, 400, 47, 62, 16, 3, 323, 400, 47, 62, 17, 3, 534, 262, 1144, 1530, 90, 915, 25, 370, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 20215, 5157, 12446, 25, 26033, 271, 2948, 8, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 3060, 315, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 92, 13244, 6914, 400, 34, 3, 387, 279, 44321, 1752, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 11281, 7848, 3833, 65626, 4935, 90, 293, 348, 5487, 92, 13244, 19127, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 59, 16010, 8, 1144, 16548, 11600, 1144, 16548, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16548, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11541, 59, 92, 13244, 197, 3505, 271, 1921, 8, 2684, 527, 1403, 44321, 1752, 25492, 11, 2019, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 323, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 92, 13244, 4800, 11, 2980, 279, 17071, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 3, 323, 279, 5021, 36572, 389, 279, 2768, 13116, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 59, 16010, 8, 1144, 26 ]

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

[ 128000, 50667, 16205, 118831, 28055, 35866, 48865, 31305, 36563, 49238, 3432, 37570, 125607, 72927, 97362, 45718, 36380, 109198, 70949, 50336, 83523, 80018, 8120, 49801, 15587, 95099, 97868, 102195, 122120, 80639, 38989, 78064, 48113, 88507, 64146, 5237, 41974, 7042, 55890, 61572, 119136, 56556, 28149, 29901, 87237, 99596, 111570, 37277, 77940, 3376, 18011, 26507, 89326, 119416, 42202, 10602, 69192, 63495, 92253, 27489, 96298, 58754, 25240, 31268, 15341, 31139, 18254, 100718, 50501, 118373, 106305, 112422, 96718, 14740, 50142, 76083, 69846, 55307, 81043, 78114, 98176, 52441, 73070, 73940, 112059, 91751, 19702, 38815, 25172, 18316, 98742, 50214, 57638, 116565, 79115, 21116, 31462, 98522, 86127, 8311, 18747, 77550, 88063, 87426, 82871, 114158, 35611, 111007, 3540, 39594, 16568, 6821, 3514, 60416, 26921, 52737, 107513, 1999, 103376, 89046, 96350, 10250, 65677, 8764, 30788, 88141, 89472, 58209, 118446, 4084, 63985, 59896, 36048, 29570, 13535, 69844, 87114, 110769, 114429, 79352, 13145, 40389, 26350, 11559, 23203, 39617, 61616, 23009, 107273, 5386, 66416, 39200, 52146, 4778, 122058, 44568, 92916, 115277, 23175, 94687, 31235, 123017, 80096, 16826, 27750, 86939, 124096, 126946, 118367, 43958, 16184, 94746, 1036, 50939, 89219, 77733, 18330, 32665, 75258, 72409, 108473, 92506, 10804, 18847, 93621, 27757, 95978, 108462, 34926, 87751, 41487, 81113, 49875, 20021, 104226, 10230, 120492, 105230, 100064, 93443, 26784, 12093, 122422, 38899, 40688, 26194, 92958, 83918, 64585, 21090, 47029, 14137, 83914, 105531, 105575, 3338, 85412, 83474, 111984, 53517, 83587, 60040, 106902, 83006, 73484, 59018, 116539, 56239, 104102, 1936, 25172, 89627, 107887, 4149, 16246, 69673, 73635, 24070, 64257, 4498, 60257, 111056, 1232, 27246, 23219, 118587, 19603, 93942, 28798, 67624, 118968, 4963, 28572, 20297, 113737, 7807, 116706, 32910, 28500, 115429, 54008, 36275, 52041, 28725, 23130, 16172, 86913, 98212, 21926, 123090, 91908, 12500, 38167, 26724, 28501, 16703, 49944, 19003, 113631, 35348, 50543, 76862, 54953, 4879, 8354, 108973, 66635, 109955, 77571, 109349, 95049, 76547, 94778, 75240, 126474, 60654, 106982, 70300, 30394, 123487, 125463, 9225, 127813, 12986, 60639, 2156, 50283, 95693, 124991, 60195, 115536, 93260, 33283, 61188, 46018, 62517, 83720, 4446, 66102, 21695, 15165, 33692, 17582, 2744, 38040, 100705, 3776, 102054, 117615, 24891, 93619, 24619, 19506, 105617, 68326, 117689, 94182, 127746, 117247, 11989, 87116, 4113, 56980, 127305, 27467, 83146, 80695, 80994, 67845, 38154, 56595, 34513, 97384, 35920, 95447, 97255, 48858, 61799, 93788, 6334, 72467, 36044, 51980, 66494, 65025, 108874, 83501, 42357, 121986, 52328, 64772, 12724, 11790, 44747, 31626, 122549, 42611, 23575, 23625, 62235, 81628, 122539, 62104, 93274, 28549, 105371, 73033, 56745, 91224, 5756, 103034, 107551, 7927, 15167, 92339, 10903, 102535, 42858, 2529, 31609, 37023, 62415, 36926, 111772, 26978, 78750, 31784, 117209, 94813, 98290, 55243, 74968, 55290, 38002, 111520, 110929, 64463, 56739, 19841, 4919, 97245, 116998, 17765, 58502, 96557, 71269, 109753, 91044, 25077, 108402, 8343, 53633, 114633, 87878, 3074, 12654, 46189, 105577, 50286, 94891, 81575, 98829, 2120, 83348, 57997, 20409, 11026, 62717, 25985, 59481, 91855, 122110, 60245, 106058, 24121, 47154, 50909, 44852, 77533, 26431, 111354, 56925, 69510, 36433, 15397, 7690, 88840, 27617, 84421, 88847, 13851, 124335, 114337, 23729, 108553, 80573, 39623, 12079, 7579, 29681, 35323, 40260, 34103, 16198, 28465, 67097, 28711, 98095, 42240, 51020, 101023, 1457, 9458, 42532, 36959, 85947, 44948, 53693, 94853, 108472, 60368, 50368, 122085, 127122, 2636, 46782, 10880, 75543, 83017, 106298, 47013, 16363, 113011, 88585, 47680, 97940, 90354, 115384, 90039, 58910, 11013, 38937, 48000, 113771, 4877, 54907, 61830, 94344, 118425, 44403, 44491, 7945, 2095, 63671, 122309, 103367, 61696, 66719, 49786, 5179, 95844, 37482, 94871, 69998, 76391, 79804, 102239, 35625, 91736, 120287, 60560, 48299, 65369, 70537, 16552, 102440, 28582, 53170, 61282, 27056, 45059, 968, 87212, 36129, 85175, 30415, 74931, 89548, 79262, 92313, 123786, 69217, 39476, 91343, 113405, 1266, 93802, 36328, 64770, 53125, 43470, 96069, 45266, 32461, 38818, 51226, 6723, 116616, 99204, 107798, 65815, 5755, 102643, 46660, 59457, 89732, 84174, 60082, 120125, 102889, 14177, 34009, 3817, 117513, 28870, 84588, 36448, 117459, 3600, 45687, 124696, 2494, 42952, 37273, 36318, 45297, 5022, 41512, 70512, 57930, 55418, 72133, 8161, 115124, 8875, 43245, 96386, 58288, 114182, 76955, 92185, 127950, 123141, 117462, 52845, 112424, 49576, 91412, 76436, 98937, 84885, 68684, 19946, 92627, 123187, 65772, 85401, 61482, 115184, 127460, 12555, 24832, 107495, 106015, 22067, 69473, 116248, 26882, 19803, 7256, 89977, 96946, 88812, 66733, 33387, 61077, 52319, 81316, 62230, 77612, 28140, 104881, 24989, 58299, 61763, 75739, 11236, 70352, 70846, 29551, 35407, 46864, 10663, 3567, 62588, 700, 46592, 29143, 71314, 103208, 50007, 70913, 105499, 75564, 101662, 106375, 94654, 43028, 101622, 2276, 23203, 82367, 3323, 31929, 109974, 107132, 79989, 108403, 21336, 103985, 71849, 60748, 20897, 85751, 81759, 116958, 2958, 118598, 10078, 13705, 56227, 60843, 126077, 119659, 56938, 68156, 124994, 98826, 82404, 87381, 66239, 68670, 116075, 122024, 122293, 36062, 100472, 124999, 18366, 15456, 39511, 41362, 70578, 88507, 46704, 101977, 7863, 43724, 71931, 5032, 109038, 16361, 54040, 43497, 51525, 38719, 9930, 104780, 37561, 6014, 116482, 25519, 47069, 42599, 52061, 87176, 24131, 112356, 33703, 43884, 114101, 17776, 22963, 10383, 109601, 43915, 69258, 54534, 39065, 6, 81541, 61464, 8499, 51468, 68423, 14045, 33598, 101315, 16397, 113986, 98895, 87041, 24390, 72260, 115774, 64120, 27501, 73340, 87585, 118439, 7844, 57762, 17109, 65009, 75204, 11990, 48924, 126164, 70162, 12017, 69037, 116471, 70470, 33151, 124227, 105282, 27142, 41912, 20379, 65074, 114883, 110160, 23530, 12924, 24228, 53719, 127908, 74631, 109153, 114143, 7092, 47764, 77980, 24517, 90942, 19844, 74904, 41621, 124637, 126015, 11194, 6401, 117794, 99597, 17185, 31503, 125173, 5238, 105066, 47661, 83904, 75895, 54566, 115156, 32236, 16477, 41032, 98604, 121205, 62734, 27926, 75516, 97612, 34792, 50927, 99518, 74591, 62698, 54599, 12249, 72661, 74808, 43532, 38781, 80190, 110596, 16282, 40900, 18595, 83892, 22008, 8543, 53172, 51723, 100931, 44919, 33821, 115703, 70245, 92563, 13585, 53476, 49926, 37295, 30034, 95659, 33624, 108129, 120802, 81579, 71438, 51122, 84031, 98378, 54903, 1963, 92003, 121315, 36744, 86433, 21988, 59346, 41383, 93569, 95185, 2945, 30742, 31567, 55716, 116337, 122828, 126344, 92513, 12305, 15629, 117314, 72335, 12880, 123167, 93010, 1097, 117603, 95847, 109977, 71745, 114901, 94753, 116095, 98553, 39168, 44402, 55609, 24259, 18718, 22726, 81785, 108950, 124425, 18068, 48802, 116899, 7176, 122118, 78611, 78208, 112696, 92903, 53393, 126981, 69468, 91954, 32994, 121646, 87265, 19711, 111361, 21263, 87542, 100566, 60455, 11657, 37628, 98540, 107025, 86755, 15986, 94164, 25129, 31536, 96963, 76962, 126398, 27245, 72751, 99107, 96881, 43827, 28843, 116345, 113195, 59528, 20921, 22640, 88362, 51672, 31960, 126449, 1693, 9352, 70370, 79395, 38566, 118612, 45503, 71657, 40033, 9430, 19211, 61595, 53112, 46507, 114424, 61251, 288, 98582, 89930, 37380, 69464, 126988, 112329, 2676, 15125, 60223, 88263, 50820, 12238, 63776, 26935, 106445, 88150, 111542, 19682, 79008, 22426, 48385, 108244, 12224, 19570, 63402, 67795, 32478, 48663, 81181, 125051, 64258, 108982, 58862, 18401, 68547, 39023, 127027, 67344, 107407, 126686, 3579, 70496, 30321, 75093, 124659, 126316, 59236, 111187, 4808, 97829, 86023, 23928, 125842, 67256, 64343, 63800, 110788, 100582, 14772, 79139, 35866, 103577, 97898, 101825, 42290, 118852, 90789, 126502, 105476, 1555, 67555, 49304, 46926, 11169, 6966, 30999, 118591, 70484, 24289, 21794, 127070, 72188, 81052, 31849, 109862, 82416, 19714, 98053, 56175, 70269, 2580, 30878, 18290, 52011, 15058, 121673, 33673, 9837, 96483, 8778, 30285, 103602, 60403, 29503, 7635, 60972, 79961, 80968, 112599, 73080, 84905, 94003, 77301, 58884, 112510, 12015, 25222, 86976, 16975, 79573, 106401, 69388, 25979, 46106, 80324, 126329, 68874, 110093, 52514, 123293, 67493, 117281, 10764, 38802, 83559, 115112, 120836, 32023, 22120, 49679, 38132, 117360, 88172, 94148, 6731, 42300, 83596, 24097, 94640, 97926, 86535, 1123, 88041, 37660, 81414, 15128, 96059, 80353, 6251, 51905, 52607, 8570, 53215, 62306, 412, 85210, 74491, 23675, 53599, 63737, 121629, 122709, 113825, 112143, 4033, 39827, 28331, 114155, 109817, 99272, 87543, 113381, 103651, 109291, 113246, 6121, 121686, 27424, 65048, 29495, 109743, 70032, 90205, 74361, 59148, 120685, 38377, 68367, 46913, 1333, 74908, 114369, 92393, 104255, 117078, 120310, 124114, 97414, 102820, 86644, 110045, 38600, 69087, 39151, 21900, 120677, 105487, 124695, 26342, 48901, 126318, 43045, 107189, 16659, 43492, 103502, 68220, 35917, 82312, 106905, 22938, 86500, 81680, 50196, 51762, 114503, 28059, 37586, 35024, 29751, 53638, 114132, 9130, 19025, 40607, 74260, 97034, 126453, 69201, 32458, 25274, 83707, 53572, 119868, 12759, 103777, 38039, 36029, 96574, 70117, 43935, 78752, 101709, 94967, 56635, 13012, 92454, 40258, 109423, 2986, 114182, 41950, 46317, 57628, 100643, 75077, 26995, 111218, 12122, 4121, 3731, 50504, 98183, 17815, 108138, 18674, 120256, 41365, 6120, 73421, 112025, 90484, 11143, 41753, 1733, 88614, 41640, 47795, 9658, 82821, 69117, 4948, 61741, 89359, 122588, 78044, 27851, 50142, 125565, 65405, 115634, 100477, 692, 74943, 3460, 75004, 35425, 34603, 93343, 44636, 68159, 106438, 34937, 78848, 53199, 2097, 114313, 772, 71356, 87012, 36819, 2790, 87620, 48759, 14873, 73366, 30748, 103788, 25498, 13502, 36645, 65998, 56932, 87455, 59824, 107239, 90436, 114560, 52112, 4872, 117269, 61988, 25660, 16143, 68594, 19300, 32995, 93855, 86566, 127536, 44866, 17498, 109977, 122245, 31256, 89453, 21315, 39419, 46819, 14523, 63573, 49726, 5424, 46079, 49823, 74933, 79944, 3739, 20669, 63604, 115807, 32873, 84565, 47582, 84614, 55168, 117653, 115734, 16713, 121022, 68802, 51071, 48013, 18630, 16189, 74366, 104477, 6218, 104044, 125711, 3423, 37847, 33252, 3312, 106386, 92829, 26752, 92412, 49575, 102556, 21403, 21695, 19497, 82213, 117547, 45759, 9819, 56284, 10194, 141, 50270, 61332, 89932, 121572, 31643, 122274, 76231, 61049, 39795, 81119, 49135, 40030, 118751, 37423, 29312, 98328, 111348, 75303, 69957, 2907, 111185, 20372, 39036, 79312, 77892, 76394, 29552, 93712, 47393, 105622, 61096, 81739, 56616, 120009, 6656, 85185, 92752, 125706, 127360, 6494, 81932, 82155, 79737, 13605, 77589, 93859, 50826, 9910, 4232, 37440, 95843, 127609, 22472, 89134, 2681, 124672, 8308, 123787, 45402, 122044, 38173, 47872, 127151, 13236, 47221, 122708, 114305, 97921, 66140, 86902, 9533, 47525, 111795, 18388, 83108, 41555, 69812, 113355, 112434, 106475, 26006, 64089, 57414, 48128, 33525, 46929, 91746, 96592, 126128, 125829, 28243, 21743, 35456, 110740, 19456, 10003, 64933, 19984, 87119, 111564, 77162, 4074, 100993, 126526, 89667, 92277, 12819, 120645, 107977, 18006, 74387, 76118, 71921, 20129, 109298, 37063, 24282, 100914, 58918, 56572, 105006, 9894, 104616, 71882, 67643, 86061, 27851, 111384, 26458, 109961, 57171, 91386, 6190, 26661, 76384, 78335, 113175, 102429, 93335, 87665, 72955, 117362, 121405, 118492, 103679, 49806, 38198, 59790, 90763, 74942, 51268, 58001, 23470, 49322, 72806, 84502, 100426, 84602, 61573, 118946, 77362, 46225, 113505, 50766, 17636, 39977, 27139, 88278, 47577, 94785, 41387, 50661, 93881, 67142, 24484, 42619, 106944, 4001, 72381, 36677, 18272, 112913, 29554, 123558, 61633, 40924, 73971, 82467, 49598, 31959, 46542, 123698, 10766, 20865, 56065, 5393, 79573, 2155, 109948, 92723, 43665, 41094, 86840, 111573, 46396, 112052, 98513, 101529, 57185, 107050, 113376, 19306, 91517, 117421, 26046, 121422, 16425, 4778, 100799, 105746, 115527, 43793, 55242, 121747, 58133, 118698, 5413, 21142, 67266, 85778, 59591, 60352, 124513, 108819, 92935, 97506, 18707, 50170, 56543, 31919, 34228, 104983, 64717, 55199, 125913, 66758, 60277, 24051, 56831, 114468, 18462, 40547, 98230, 26536, 91759, 68795, 88636, 7383, 65766, 91545, 42770, 53467, 66493, 37710, 34270, 62786, 8625, 95751, 29888, 6815, 40474, 6303, 92158, 107264, 79103, 3348, 36446, 68928, 84566, 71928, 104846, 101526, 67157, 127731, 100624, 13587, 42035, 38164, 105428, 71969, 72389, 90168, 79022, 101356, 24225, 38577, 29574, 120940, 36852, 51419, 77122, 388, 80492, 79896, 49458, 77617, 6181, 28909, 73854, 16174, 74364, 58828, 21017, 56071, 26124, 13160, 71284, 119390, 105982, 36611, 127780, 11338, 120370, 85592, 88859, 27247, 4040, 67717, 103382, 127188, 70561, 2801, 89573, 19315, 116557, 117319, 109268, 30977, 127265, 119839, 89632, 118865, 104452, 127331, 100308, 125604, 6548, 4121, 25671, 15162, 88405, 92939, 36060, 21418, 38874, 91137, 73392, 97683, 89776, 102348, 87248, 39568, 110599, 30450, 95574, 9382, 87466, 26651, 9585, 124141, 9620, 109179, 90811, 121009, 30608, 41259, 16274, 2813, 42721, 119987, 84540, 45080, 6356, 122565, 20916, 109944, 89450, 75610, 92684, 23327, 79681, 39722, 80598, 18938, 75625, 32460, 98150, 50381, 73465, 3822, 43611, 61099, 71942, 86622, 106829, 63791, 110546, 108569, 2944, 38716, 79807, 14150, 43431, 100527, 97777, 18591, 77285, 99201, 2156, 89466, 28842, 26331, 71467, 54543, 116342, 75238, 54021, 40917, 100490, 47876, 20329, 47731, 115489, 113428, 79895, 20237, 88638, 50837, 73099, 16818, 87249, 74262, 49970, 60033, 62486, 104278, 123171, 27837, 84717, 110548, 68180, 3046, 76525, 26521, 110055, 4609, 12999, 62915, 121216, 38749, 47647, 57716, 70067, 83769, 52995, 43763, 62704, 53789, 74982, 20285, 98660, 14559, 124069, 90662, 12198, 37024, 30487, 107165, 83618, 115632, 7336, 107362, 58572, 73647, 122423, 44650, 19211, 35453, 99508, 47907, 34852, 25713, 47753, 123826, 102630, 27970, 29236, 4923, 53752, 106927, 112755, 110738, 50639, 65051, 62041, 85843, 68713, 21458, 93106, 42806, 80747, 80786, 57774, 33346, 74375, 6039, 89201, 123223, 43637, 105453, 106100, 92170, 22657, 83933, 62171, 37938, 98816, 104276, 10927, 38522, 48776, 30655, 11586, 112868, 79751, 22558, 89722, 87725, 35500, 67662, 62475, 25895, 25869, 20395, 65769, 41143, 6478, 14201, 60994, 112140, 39397, 83552, 75061, 77948, 75833, 36964, 96053, 46975, 62380, 97600, 42211, 3452, 117026, 33068, 3126, 82486, 2212, 39701, 127948, 3527, 13238, 77798, 71985, 124019, 32969, 346, 98052, 83911, 16408, 106771, 77826, 127967, 88576, 72179, 23604, 76061, 19583, 6315, 73809, 37241, 56805, 19562, 46898, 69939, 53847, 113328, 1991, 1517, 56334, 4624, 100712, 40464, 69528, 112935, 29348, 34519, 18555, 38751, 119731, 99516, 49332, 57086, 62663, 92830 ]

[ 1144, 16548, 11600, 1144, 26, 469, 59, 16010, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 393, 5431, 59, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 1361, 8, 3161, 912, 4814, 315, 1803, 2786, 11, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 323, 1070, 374, 912, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 293, 32816, 627, 5451, 11, 23289, 430, 369, 1475, 44321, 1752, 11008, 400, 34, 530, 3, 389, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 11, 520, 3325, 832, 315, 279, 17672, 315, 400, 34, 530, 3, 374, 24894, 311, 264, 12202, 304, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 15437, 627, 1687, 1650, 832, 315, 279, 13116, 449, 832, 842, 304, 400, 34, 530, 3, 323, 1023, 15233, 304, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 15437, 555, 400, 68, 530, 13244, 6914, 400, 85, 5487, 64517, 62, 15, 11, 289, 62, 16, 11, 1144, 68916, 11, 289, 918, 25222, 3, 387, 682, 17672, 315, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 304, 400, 47, 62, 16, 13244, 22991, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 289, 15511, 72, 62, 17, 92, 1144, 68916, 289, 918, 3, 1778, 430, 400, 15, 366, 602, 62, 16, 366, 602, 62, 17, 366, 1144, 68916, 366, 326, 3, 627, 36438, 264, 5021, 400, 51, 3, 6832, 6964, 743, 374, 279, 15792, 13116, 304, 19575, 1144, 1116, 90, 915, 25, 20869, 45920, 7966, 3505, 198, 7368, 279, 11008, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 1144, 68916, 289, 918, 1144, 7848, 3833, 65626, 4935, 90, 65, 289, 62, 15, 32816, 555, 400, 34, 6, 13244, 4800, 11, 555, 18054, 400, 34, 45801, 11, 400, 80, 3, 12202, 85884, 13006, 400, 48, 62, 16, 11, 1144, 68916, 11, 1229, 9153, 3, 902, 527, 13282, 304, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 7293, 13, 7181, 430, 1070, 6866, 264, 1853, 315, 2015, 400, 17, 3, 304, 400, 34, 45801, 902, 555, 7999, 420, 1853, 311, 400, 48, 5431, 3, 584, 1505, 264, 11008, 400, 34, 15511, 83, 5431, 32816, 11, 369, 1063, 400, 72, 13244, 32140, 1070, 6866, 459, 6964, 400, 68, 15511, 83, 5431, 32816, 21583, 400, 48, 5431, 3, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 8, 13244, 4800, 11, 584, 7124, 264, 5021, 400, 51, 3, 6832, 279, 6964, 743, 374, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 1144, 16548, 70, 7, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 873, 1144, 72282, 1144, 16010, 10929, 26, 1144, 16548, 11600, 1144, 26, 1144, 16010, 11781, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 10929, 16010, 8, 1144, 16548, 70, 8, 1144, 16548, 37765, 1144, 16010, 11781, 16548, 59, 90, 68, 15511, 83, 5431, 92, 1144, 16497, 220, 16, 1144, 273, 80, 602, 1144, 273, 80, 2874, 1144, 16548, 59, 92, 1144, 16010, 570, 14415, 198, 29597, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11541, 16154, 92, 13244, 3505, 271, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1272, 3906, 15731, 833, 14562, 3529, 6092, 45920, 16378, 534, 262, 1144, 24232, 90, 791, 11008, 400, 34, 45801, 323, 279, 5021, 400, 51, 3, 534, 996, 1144, 1530, 90, 915, 25, 20869, 45920, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 5971, 11, 9855, 430, 1070, 6866, 264, 11008, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 32816, 1778, 430, 7000, 315, 279, 17672, 315, 400, 34, 62, 16, 3, 374, 24894, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 5417, 62, 16, 8, 13244, 22991, 279, 25655, 11008, 449, 420, 3424, 13, 36530, 11, 420, 11008, 374, 44321, 1752, 13, 4800, 11, 2380, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 20, 418, 63898, 4640, 59, 63114, 3849, 933, 59, 1224, 2684, 6866, 264, 11008, 400, 34, 62, 17, 3, 14454, 555, 400, 47, 62, 17, 3, 477, 400, 47, 62, 18, 13244, 19127, 279, 17071, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 400, 47, 62, 17, 3, 323, 555, 400, 47, 62, 18, 55976, 323, 1070, 374, 520, 3325, 832, 6964, 1990, 400, 53, 5417, 62, 17, 15437, 323, 400, 53, 5417, 62, 18, 8, 13244, 6914, 400, 370, 1144, 258, 469, 6838, 15437, 11, 400, 64, 1144, 258, 650, 5417, 62, 17, 15437, 323, 400, 65, 1144, 258, 650, 5417, 62, 18, 15437, 323, 44643, 400, 67, 15511, 47, 62, 17, 26628, 85, 5487, 11, 264, 8, 489, 294, 15511, 47, 62, 18, 26628, 85, 5487, 8568, 15437, 374, 8187, 13, 25773, 430, 279, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 5487, 264, 92, 1144, 7848, 3833, 65626, 4935, 90, 65, 348, 5487, 32816, 374, 44321, 1752, 13, 6914, 603, 1650, 420, 11008, 555, 400, 34, 62, 17, 13244, 4800, 11, 7124, 279, 17071, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 62, 17, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 7966, 3505, 271, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 400, 47, 62, 17, 3, 323, 555, 400, 47, 62, 18, 55976, 323, 1070, 374, 912, 6964, 1990, 400, 53, 5417, 62, 17, 15437, 323, 400, 53, 5417, 62, 18, 8, 13244, 6914, 400, 34, 62, 17, 3, 387, 279, 11008, 31706, 315, 1403, 13006, 400, 47, 62, 17, 3, 323, 400, 47, 62, 18, 13244, 19127, 279, 17071, 400, 34, 62, 17, 3, 323, 264, 5021, 449, 279, 2768, 6964, 743, 345, 14415, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 62, 17, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 1144, 16548, 37765, 15511, 72, 28, 16, 92, 61, 18, 469, 5417, 5431, 8, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 382, 59, 408, 90, 77669, 3818, 59, 408, 90, 77669, 633, 73759, 8920, 90, 20, 3906, 534, 59, 1224, 198, 59, 1342, 13536, 90, 4301, 220, 17, 13, 534, 59, 1530, 90, 5756, 25, 17, 534, 5733, 3972, 430, 400, 73, 366, 602, 3, 369, 682, 24051, 1122, 13006, 13, 22395, 682, 24051, 1122, 13006, 2980, 279, 220, 1853, 1778, 430, 400, 72, 25279, 73, 45801, 374, 7340, 13, 4800, 11, 2380, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 28, 933, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 16, 13, 92, 2684, 374, 912, 400, 82, 366, 503, 45801, 323, 400, 83, 871, 602, 45801, 1778, 430, 400, 85, 646, 348, 530, 1144, 258, 469, 6838, 8, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 59060, 4884, 1070, 527, 1403, 44321, 1752, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 14454, 555, 279, 13006, 400, 85, 62, 16, 348, 15511, 73, 8439, 3, 323, 400, 85, 15511, 72, 8439, 348, 1107, 13244, 3296, 25329, 1070, 374, 912, 6964, 400, 4223, 55976, 1405, 400, 87, 1144, 258, 650, 3100, 62, 16, 15437, 323, 400, 88, 1144, 258, 650, 3100, 62, 17, 15437, 627, 36438, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 512, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 15511, 72, 8439, 85, 1107, 11, 348, 15511, 73, 8439, 85, 62, 16, 59, 92, 1144, 16010, 570, 14415, 198, 7184, 11, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 271, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 17, 13, 534, 59, 1530, 90, 2008, 5756, 25, 1313, 92, 2684, 527, 520, 3325, 3116, 15285, 400, 82, 11, 274, 6, 366, 503, 3, 323, 400, 83, 11, 259, 6, 871, 602, 3, 1778, 430, 400, 85, 646, 348, 530, 11, 348, 15511, 82, 8439, 348, 15511, 83, 8439, 1144, 258, 469, 6838, 8, 13244, 22991, 3116, 15285, 400, 70, 11, 305, 366, 503, 3, 323, 400, 68, 11, 282, 871, 602, 3, 1778, 430, 400, 85, 1552, 348, 2253, 11, 348, 1928, 348, 766, 1144, 258, 469, 6838, 15437, 323, 400, 91, 70, 2902, 91, 489, 765, 68, 2269, 81150, 374, 8187, 382, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1954, 3906, 15731, 833, 14562, 2971, 521, 17, 18451, 5756, 17, 16378, 534, 262, 1144, 24232, 90, 11874, 13116, 400, 85, 1552, 348, 2253, 3, 323, 400, 85, 1928, 348, 766, 3, 534, 262, 1144, 1530, 90, 915, 25, 6414, 29352, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 20215, 5157, 649, 387, 6646, 24754, 271, 59, 7413, 90, 77669, 44489, 2414, 9113, 28, 15, 418, 63898, 4640, 59, 31323, 3849, 933, 59, 1224, 2684, 374, 912, 44321, 1752, 11008, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 382, 38275, 279, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 92, 85, 1928, 3, 323, 1650, 433, 400, 34, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 345, 14415, 59, 27362, 27362, 11, 36, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 10492, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 59, 92, 13244, 3505, 271, 59, 1224, 3161, 912, 4814, 315, 1803, 2786, 11, 1070, 6866, 264, 44321, 1752, 11008, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 323, 1070, 374, 912, 44321, 1752, 11008, 14454, 555, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 92, 13244, 5629, 23289, 430, 1070, 374, 264, 44321, 1752, 11008, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 1778, 430, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 59060, 90, 85, 62, 16, 11, 1144, 68916, 11, 348, 5487, 59, 92, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 400, 4884, 1070, 6866, 264, 44321, 1752, 11008, 400 ]

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

[ 25990, 38069, 116985, 17071, 11490, 73584, 9767, 78086, 56862, 16684, 2998, 73169, 9965, 117119, 50246, 100281, 34655, 93717, 537, 17753, 126718, 25713, 124307, 115334, 123922, 122708, 112212, 42522, 31362, 74120, 66053, 33563, 28149, 5662, 112455, 109544, 58418, 108946, 107225, 67463, 48057, 1189, 82333, 98099, 98057, 49991, 56858, 103648, 112183, 106912, 57876, 84048, 20687, 109637, 61345, 25510, 424, 100619, 11703, 105564, 61615, 37832, 79816, 23094, 29189, 115105, 93985, 72354, 28909, 54239, 106001, 62181, 76191, 74438, 88028, 101474, 26494, 45766, 81269, 110018, 17898, 64599, 116568, 94544, 107379, 121835, 15506, 8314, 84924, 33869, 47301, 25678, 116007, 81118, 62865, 10761, 59254, 113392, 85146, 28286, 10030, 125490, 49838, 26451, 123217, 35191, 36379, 70240, 122444, 97271, 114506, 9006, 118313, 86163, 83211, 54544, 42524, 75894, 73007, 45700, 85264, 27992, 53484, 18527, 99305, 2755, 77247, 55576, 9971, 113714, 29514, 59593, 47325, 15059, 71758, 117701, 112522, 121013, 228, 29633, 72327, 86439, 48075, 17631, 82281, 109120, 127036, 1313, 83430, 41196, 106409, 97264, 112385, 118574, 73183, 77571, 67118, 70250, 21888, 759, 80897, 12663, 9949, 23954, 58561, 116658, 84073, 114140, 4299, 12813, 25995, 43141, 227, 63435, 63820, 126390, 113303, 15290, 27725, 96296, 102511, 60278, 111353, 16333, 56547, 108337, 59698, 87584, 1506, 121314, 80414, 13795, 119548, 44580, 84089, 26085, 120257, 47374, 106141, 111246, 90770, 123223, 6526, 117970, 26957, 88957, 108590, 127222, 73243, 109465, 17068, 127026, 92559, 79010, 79349, 101594, 110522, 4974, 19192, 32406, 93514, 67313, 36300, 26590, 27852, 98200, 11994, 120287, 80952, 98834, 64123, 58819, 123228, 41542, 36124, 88561, 96973, 60861, 85480, 110331, 21607, 45805, 9431, 68013, 34545, 66219, 35265, 15320, 91012, 2634, 41341, 65098, 100606, 42258, 21566, 80364, 99657, 50445, 88366, 52754, 57778, 61857, 13235, 89402, 100607, 81202, 55819, 15320, 51645, 80637, 114199, 107133, 83066, 98321, 34472, 80218, 35657, 12640, 82192, 17187, 78807, 14081, 23740, 120486, 117710, 114592, 45579, 116813, 24948, 22588, 102177, 34476, 64761, 78542, 94951, 61172, 101554, 60586, 23038, 104607, 32411, 12319, 46084, 83393, 42160, 72110, 105364, 106006, 21644, 18092, 35717, 35634, 18520, 18168, 67525, 117576, 71977, 11608, 76750, 114353, 57001, 21399, 115902, 36840, 108016, 46242, 122450, 26354, 69461, 14797, 2431, 119514, 83694, 28795, 77717, 86620, 13206, 116968, 9060, 29432, 116077, 1641, 13006, 8214, 8431, 50680, 74161, 122325, 36588, 26417, 11018, 126357, 67694, 83661, 70816, 22304, 63012, 11460, 57420, 86153, 19693, 83431, 48230, 3444, 84230, 19197, 32857, 110449, 108505, 76879, 38334, 3731, 109004, 107001, 24312, 52180, 116241, 37738, 58458, 114626, 119954, 82882, 9083, 83442, 55596, 92834, 37154, 120993, 90167, 105541, 59896, 91385, 48490, 11887, 26549, 121001, 24789, 10287, 90467, 93163, 73017, 81496, 123000, 5508, 8827, 46038, 87654, 55718, 19503, 19966, 2294, 54523, 36845, 74459, 97917, 16682, 82145, 16859, 78530, 47059, 76639, 93909, 93254, 103695, 118984, 29279, 49263, 22931, 34802, 96027, 75404, 81950, 11721, 48330, 31838, 63163, 47318, 61613, 19991, 93418, 19036, 39126, 96565, 95916, 3585, 98566, 20475, 108834, 108604, 76091, 10936, 25189, 73279, 114735, 119492, 88712, 100169, 36540, 71065, 64801, 72917, 77503, 44803, 72178, 74647, 111321, 123533, 89027, 42935, 119123, 125589, 73357, 28089, 121560, 13530, 7653, 26402, 105790, 53879, 2881, 113901, 10380, 2540, 67543, 67383, 79167, 30860, 59799, 23799, 62314, 46537, 90126, 73596, 93851, 102070, 94222, 63870, 11593, 97478, 119122, 23761, 56675, 65149, 54562, 28022, 95709, 24810, 22686, 97389, 10609, 112897, 110925, 64496, 20623, 61918, 66815, 14558, 17875, 113822, 41927, 104185, 77127, 38861, 10402, 36813, 4328, 26242, 50631, 11848, 5234, 106676, 119323, 48435, 65, 56708, 57431, 72226, 26185, 109390, 106878, 72170, 123375, 124469, 83148, 78503, 6767, 32270, 72719, 32661, 18940, 114421, 20708, 105414, 91501, 26723, 77861, 17687, 106784, 96637, 125008, 60193, 67280, 83441, 8081, 3942, 77847, 103371, 121044, 121678, 66364, 49904, 5884, 17253, 3104, 98384, 98553, 41314, 17957, 113312, 74179, 59441, 125972, 2466, 18236, 75072, 89106, 88574, 48795, 93964, 12196, 42446, 48331, 118281, 60812, 77347, 35868, 971, 99627, 81201, 23988, 89795, 21734, 9, 107215, 1477, 78371, 43064, 35520, 83018, 62213, 11753, 71349, 95637, 112188, 116704, 97077, 73061, 82166, 75793, 122713, 118203, 90177, 52690, 30065, 113782, 26554, 44694, 118290, 113859, 4766, 16628, 77424, 96551, 98130, 32751, 95928, 101296, 20552, 124723, 50440, 100965, 85641, 98398, 68999, 90626, 93264, 25473, 13038, 112806, 64084, 16642, 91525, 33708, 104255, 47324, 84015, 108361, 36048, 68826, 51632, 61979, 68022, 83579, 38534, 48830, 20753, 94260, 90134, 45081, 10455, 17975, 112242, 46398, 56648, 14006, 59212, 73196, 102042, 108475, 73427, 107418, 22546, 60634, 67737, 18405, 64326, 2305, 82178, 3371, 103760, 50221, 124153, 33479, 126885, 59954, 12504, 118625, 17649, 123299, 39408, 44650, 64062, 14686, 115872, 68627, 57677, 126778, 7283, 20477, 101880, 127766, 48284, 51985, 16675, 64895, 111697, 4256, 84386, 2920, 83186, 14891, 113998, 112436, 48323, 1403, 3014, 40876, 102884, 27629, 102998, 37314, 108948, 6854, 105852, 47975, 715, 13333, 109570, 43572, 50714, 67630, 73108, 102176, 36791, 76474, 116634, 53246, 98878, 87424, 17924, 5803, 88973, 26025, 7060, 23465, 123036, 44281, 19266, 7226, 103085, 93415, 97665, 66609, 28469, 79037, 107363, 14945, 14929, 123296, 70281, 75304, 124655, 65876, 14135, 94960, 51260, 38103, 45154, 29666, 11584, 124598, 26288, 86624, 111775, 56512, 118404, 47908, 10495, 87399, 39265, 14310, 76535, 15264, 6339, 113737, 107270, 22283, 27397, 94605, 106244, 36409, 124625, 127678, 90716, 19555, 81537, 89716, 84195, 41452, 84854, 70867, 110307, 25880, 19631, 116981, 112230, 67735, 56758, 124359, 5851, 55012, 59159, 113700, 127617, 64882, 87905, 38202, 83805, 91677, 9247, 105617, 3925, 48418, 44285, 15241, 49330, 109354, 11849, 72722, 24348, 34678, 112010, 7765, 65334, 42874, 51409, 109484, 86453, 7332, 57706, 77560, 81164, 60253, 8121, 127650, 98388, 11274, 107808, 101496, 893, 37457, 71909, 41250, 126018, 3738, 73822, 121738, 126553, 37354, 124517, 72783, 1672, 114651, 115326, 84084, 126087, 51183, 32749, 24444, 86039, 25913, 7500, 10853, 46372, 56324, 93697, 90513, 42259, 123089, 114744, 119831, 116475, 90973, 15015, 16254, 87775, 33118, 24042, 127378, 119393, 61471, 2015, 47748, 37834, 74892, 36255, 52604, 93565, 105279, 111931, 73856, 17181, 35693, 116402, 41790, 5533, 87590, 18338, 19366, 68746, 103246, 34250, 74206, 84814, 112643, 10081, 57962, 72184, 56947, 87236, 102508, 36838, 69473, 65460, 61641, 12323, 77215, 32081, 27145, 6127, 85535, 83877, 86031, 26390, 22600, 33975, 62107, 94380, 84053, 61363, 47138, 59028, 16399, 94699, 7380, 70522, 29550, 79107, 36315, 114763, 44370, 13354, 98561, 747, 20185, 111000, 124742, 8018, 37967, 24696, 32980, 61800, 81222, 74990, 96019, 107171, 63668, 101596, 90083, 37786, 14673, 9147, 63989, 127082, 73139, 22285, 105322, 69242, 20636, 115505, 55828, 670, 43538, 18856, 114714, 105667, 94302, 73352, 102477, 75535, 65721, 51752, 4132, 115488, 112621, 39227, 102183, 87074, 103792, 55596, 51253, 38874, 122916, 28505, 42602, 36440, 40090, 77069, 20618, 75650, 66168, 125169, 59949, 65166, 37253, 119051, 60826, 6277, 103781, 111320, 120364, 69158, 89296, 17933, 1247, 33883, 49311, 108247, 6228, 88099, 52161, 64058, 125879, 71407, 85130, 24507, 22058, 32898, 56960, 46531, 26889, 96264, 60337, 70113, 115755, 39957, 1185, 45924, 38245, 120223, 32570, 37268, 69499, 113192, 85281, 31486, 22410, 93086, 122388, 15569, 12039, 72347, 22440, 30900, 27024, 125787, 117838, 52397, 126808, 96130, 51134, 117961, 2423, 55786, 103481, 98558, 97516, 104560, 27548, 71264, 24503, 105845, 35507, 109732, 98501, 28359, 27490, 53316, 83719, 49545, 116110, 28575, 67456, 122670, 21716, 55802, 60148, 12036, 107091, 84971, 104731, 73974, 5393, 52217, 12111, 48043, 81274, 70628, 15066, 100677, 109916, 37334, 23234, 126507, 59515, 104154, 95160, 49953, 69940, 124639, 21509, 25018, 3632, 52265, 29700, 110999, 6861, 91142, 24516, 47807, 99912, 86563, 92205, 96736, 17187, 18868, 30921, 34605, 77040, 96705, 28835, 92844, 63549, 54695, 105535, 105594, 24990, 7909, 116237, 16726, 61935, 33304, 100220, 55785, 91246, 48196, 94352, 68348, 125668, 17086, 11772, 110715, 119472, 105449, 37180, 52937, 118755, 60263, 53345, 34310, 65117, 38450, 48844, 83309, 107008, 71408, 43521, 18262, 50039, 32834, 110003, 64615, 75719, 24966, 47267, 3965, 556, 92195, 14103, 80453, 30916, 86327, 4595, 55232, 43304, 30579, 72437, 115999, 23463, 33146, 113467, 1326, 6925, 119982, 32402, 100799, 29965, 105179, 27496, 11420, 3838, 41223, 23091, 83705, 10947, 12091, 84595, 19548, 9531, 81603, 91752, 18998, 80966, 102324, 73151, 15925, 97691, 69414, 79686, 111331, 2715, 98361, 118171, 25896, 25087, 35361, 51780, 42841, 8934, 53084, 40519, 252, 82965, 124158, 31356, 19083, 8575, 34349, 6574, 35271, 3591, 43841, 21347, 20695, 63283, 82982, 12003, 60267, 23365, 9093, 50177, 96563, 60031, 47766, 27773, 31579, 108463, 89333, 5679, 81973, 61981, 111235, 59872, 67775, 103145, 22012, 116836, 80638, 110758, 92291, 123660, 69387, 1556, 125536, 46003, 8730, 8168, 37088, 7264, 104607, 118076, 69544, 21936, 99201, 4434, 62164, 94518, 26058, 119320, 50882, 126051, 3806, 64160, 89872, 117510, 87481, 109817, 65917, 36155, 118161, 2502, 79616, 58303, 8273, 67969, 84514, 13662, 12143, 104530, 29169, 1630, 52684, 75546, 105583, 96727, 24490, 74050, 114844, 90394, 3752, 67932, 90299, 87555, 125521, 32743, 51595, 99090, 69193, 85653, 81826, 81102, 73809, 71319, 11440, 101564, 113414, 14870, 74654, 86974, 32878, 112745, 102941, 3568, 114571, 47300, 88332, 40879, 80217, 40735, 61631, 71316, 46466, 10558, 14747, 83169, 49392, 96741, 95357, 31354, 1339, 103126, 12458, 17844, 51755, 107531, 111191, 54437, 16850, 1814, 59242, 100904, 56672, 14550, 101189, 59052, 31000, 10774, 6406, 114973, 116212, 120586, 124310, 19561, 98500, 127227, 9605, 120429, 71309, 29742, 29703, 96260, 49984, 49253, 124116, 97136, 113124, 72528, 35971, 85988, 36879, 119785, 4032, 15030, 56132, 70396, 73737, 118302, 111388, 36516, 76445, 49657, 86289, 104518, 28093, 7976, 82454, 4530, 53978, 15278, 89752, 81428, 16454, 46002, 33857, 17342, 30683, 115583, 21047, 109200, 2791, 38844, 4570, 54352, 43536, 8040, 119589, 78478, 123931, 124085, 104376, 52947, 114328, 60393, 1507, 57411, 74412, 96803, 14220, 82200, 4963, 11562, 61677, 127999, 13567, 7540, 3899, 112108, 41323, 55688, 462, 37424, 29833, 97915, 77767, 59154, 56878, 50100, 87609, 28975, 115629, 70022, 111767, 21239, 52664, 108645, 64109, 63117, 77691, 31653, 48424, 36139, 17214, 92300, 25753, 78800, 78233, 42269, 42027, 56827, 4386, 11082, 51986, 66562, 101462, 37366, 79628, 72729, 118342, 84916, 86784, 97921, 94729, 31245, 31733, 6558, 44589, 64885, 95864, 12613, 121589, 82147, 43513, 21801, 92177, 87595, 127195, 57363, 56861, 39283, 85232, 116731, 112292, 95214, 29048, 56339, 14666, 19235, 45437, 98876, 107830, 97568, 90948, 119870, 75010, 32040, 38389, 105782, 111676, 126755, 11882, 44358, 9813, 121426, 71298, 123164, 41703, 50644, 112378, 116501, 73348, 28843, 121116, 14964, 21805, 54182, 107047, 11557, 121447, 31627, 91147, 16365, 122142, 110015, 108635, 88283, 44903, 111640, 77141, 93787, 76179, 47275, 121505, 18544, 77295, 103764, 97435, 55053, 94002, 102268, 7541, 64508, 109264, 34362, 105088, 123284, 53828, 27727, 88506, 33084, 102277, 12997, 43562, 5126, 115678, 121778, 71752, 15634, 21529, 127864, 33809, 94097, 108495, 118562, 104297, 59866, 49260, 10118, 44650, 44522, 72446, 14832, 55960, 40839, 96711, 11798, 17083, 123991, 75718, 77689, 45089, 94852, 105565, 101790, 99153, 36964, 124627, 120233, 54419, 87782, 97202, 27051, 35697, 92315, 42857, 111185, 51930, 29057, 35185, 61263, 24912, 114390, 127464, 17197, 18502, 111495, 96165, 35518, 49490, 77009, 10934, 121048, 80657, 77122, 118431, 44675, 79321, 41984, 124709, 52456, 53887, 74731, 49477, 26975, 584, 80940, 71346, 61108, 92155, 57085, 64950, 50, 58241, 24889, 111853, 94208, 40835, 110250, 65045, 83947, 111563, 53014, 33655, 35012, 44439, 63964, 50838, 68255, 64143, 100300, 61082, 6620, 24403, 38184, 127326, 127521, 97181, 7136, 22631, 56851, 75768, 20698, 127954, 120058, 678, 116766, 119344, 58388, 10266, 49063, 29931, 114357, 50195, 47208, 108110, 48695, 23602, 111400, 23371, 123311, 90670, 11668, 46066, 6937, 120494, 75016, 37445, 20805, 14352, 77536, 27485, 51739, 93215, 104303, 112128, 6249, 46083, 53867, 103710, 43033, 117107, 2010, 36438, 69420, 94715, 56141, 50591, 18837, 77704, 28702, 120276, 78689, 541, 16384, 83058, 79285, 51418, 19764, 115759, 64464, 3261, 1097, 116856, 4414, 26205, 63021, 32648, 81051, 8550, 2867, 29650, 42455, 33663, 77960, 30871, 7361, 91672, 12136, 122060, 127251, 2368, 35887, 1465, 11390, 8376, 44795, 97079, 12327, 47416, 101085, 119581, 75064, 51280, 83134, 29408, 109603, 16617, 22137, 45485, 80892, 60469, 83709, 73864, 101497, 11272, 50015, 33151, 98330, 59295, 2915, 966, 19940, 19066, 75887, 68768, 112634, 88148, 87570, 11714, 60532, 22757, 76537, 22614, 62867, 93204, 7299, 76142, 74266, 3220, 82689, 97595, 71665, 29318, 7763, 115760, 55408, 24245, 93011, 19819, 41817, 29586, 77820, 54049, 41160, 27347, 4250, 30693, 126166, 20255, 66961, 124284, 54623, 64326, 84362, 49724, 54068, 122043, 43368, 5057, 85294, 68241, 119633, 115209, 120044, 105064, 2788, 114121, 1688, 126918, 72946, 82848, 125634, 87458, 125428, 51610, 57434, 64567, 37537, 99605, 107435, 101869, 3349, 37249, 30031, 76648, 101536, 125830, 101151, 106267, 27757, 61128, 38615, 68013, 122980, 116309, 109914, 3543, 37872, 26064, 41670, 54166, 84132, 8606, 34542, 82255, 2794, 117216, 77111, 17767, 95753, 54811, 104546, 127166, 19131, 95747, 33122, 86253, 23306, 97379, 72970, 20649, 124461, 34989, 123094, 16362, 28555, 101065, 106244, 70395, 55407, 897, 12239, 47060, 73840, 82928, 49560, 58800, 27123, 60785, 2076, 41511, 73346, 102097, 121737, 126372, 87368, 70670, 112181, 32455, 40742, 52500, 25729, 116468, 63036, 51431, 65432, 43857, 116408, 15879, 84423, 62886, 59635, 91026, 95194, 12747, 60248, 33172, 37333, 60128, 111548, 54855, 35964, 3500, 73733, 62075, 1735, 101566, 87862, 70390, 111652, 67537, 19180, 123553, 99185, 118880, 117974, 470, 107918, 1856, 96508, 46991, 101625, 28148, 55603, 125958, 71965, 35264, 14622, 75929, 71491, 118405, 32936, 11796, 104132, 39876, 60042, 71246, 126610, 117071, 7163, 52540, 115395, 126428, 29633, 122898, 60374, 63192, 64209, 64549, 82806, 66615, 13057, 80608, 2256, 87110, 124232, 74038, 63847, 50736 ]

[ 34, 62, 17, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 62, 16, 348, 5487, 92, 13244, 3296, 25329, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 400, 53, 3100, 62, 17, 8, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 3638, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 271, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 32816, 382, 59836, 26759, 9479, 9855, 430, 369, 1475, 11008, 400, 34, 1745, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 11, 1070, 527, 1403, 17672, 400, 87, 1745, 1144, 258, 650, 3100, 1745, 15437, 323, 400, 88, 1745, 1144, 258, 1144, 90, 85, 62, 16, 11, 1144, 68916, 11, 348, 5487, 59, 32816, 1778, 430, 400, 87, 1745, 379, 1745, 1144, 258, 469, 6838, 8, 13244, 6914, 400, 85, 2253, 64517, 62, 15, 11, 289, 62, 16, 11, 1144, 68916, 11, 289, 918, 40354, 766, 3, 387, 682, 17672, 315, 279, 1853, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 304, 400, 47, 13244, 22991, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 289, 15511, 72, 62, 17, 92, 1144, 68916, 289, 918, 3, 1778, 430, 400, 15, 366, 602, 62, 16, 366, 602, 62, 17, 366, 1144, 68916, 366, 326, 13244, 21829, 279, 11008, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 92, 1144, 68916, 289, 918, 1144, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 1650, 433, 400, 34, 13244, 4800, 11, 555, 18054, 400, 34, 55976, 400, 80, 3, 12202, 85884, 13006, 400, 48, 62, 16, 11, 1144, 68916, 11, 1229, 9153, 3, 902, 527, 13282, 304, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 7293, 13, 7181, 430, 1070, 6866, 264, 1853, 315, 2015, 400, 17, 3, 304, 400, 34, 3, 902, 555, 7999, 420, 1853, 311, 400, 48, 5431, 3, 584, 1505, 264, 11008, 400, 34, 15511, 81, 5431, 32816, 11, 369, 1063, 400, 72, 13244, 32140, 1070, 6866, 459, 6964, 400, 87, 15511, 81, 5431, 92, 379, 15511, 81, 5431, 32816, 21583, 400, 48, 5431, 3, 311, 400, 53, 6838, 8, 1144, 751, 39465, 650, 11781, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 5525, 13244, 1226, 7124, 264, 5021, 400, 51, 3, 6832, 6964, 743, 374, 279, 13116, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 650, 3100, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 37765, 1144, 16548, 59, 90, 87, 15511, 81, 5431, 92, 379, 15511, 81, 5431, 92, 1144, 16497, 220, 16, 1144, 273, 80, 602, 1144, 273, 80, 2874, 59, 16548, 59, 92, 1144, 16010, 705, 14415, 198, 3473, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 389, 279, 17071, 59060, 90, 51, 11, 356, 59, 92, 13244, 3505, 198, 59, 7413, 90, 18257, 44489, 39, 933, 220, 1144, 7413, 90, 3133, 534, 262, 1144, 1012, 32785, 58, 3175, 28, 1954, 3906, 15731, 833, 14562, 3529, 6092, 8284, 1959, 91719, 16378, 534, 262, 1144, 24232, 90, 791, 5021, 400, 51, 3, 323, 279, 40243, 1853, 400, 86, 62, 15, 289, 15511, 72, 62, 16, 11281, 68916, 289, 918, 3, 534, 262, 1144, 1530, 90, 915, 25, 20869, 99800, 29352, 91719, 534, 220, 1144, 408, 90, 3133, 534, 59, 408, 90, 18257, 633, 59, 1224, 2684, 527, 520, 3325, 1403, 44321, 1752, 25492, 11, 2019, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 1928, 348, 1552, 32816, 323, 59060, 7848, 3833, 65626, 4935, 90, 85, 2253, 348, 766, 32816, 11, 15947, 13, 8876, 400, 91, 70, 2902, 91, 489, 765, 68, 2269, 81150, 374, 8187, 11, 1070, 374, 912, 6964, 400, 4223, 1144, 258, 469, 6838, 15437, 449, 400, 87, 1144, 258, 650, 3100, 62, 16, 15437, 323, 400, 88, 1144, 258, 650, 3100, 62, 17, 8, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 345, 14415, 59, 32710, 59, 32710, 59, 32710, 59, 32710, 469, 59, 16010, 7, 1144, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 8, 1144, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 348, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 59060, 90, 51, 11, 356, 62, 16, 11, 356, 62, 17, 59, 92, 13244, 3505, 198, 59, 408, 90, 77669, 633, 59, 1224, 1144, 1342, 13536, 90, 3214, 5756, 220, 18, 13, 92, 2684, 3073, 7041, 1403, 15285, 400, 82, 14287, 55976, 220, 400, 82, 366, 503, 6, 366, 602, 6, 366, 259, 3, 1778, 430, 400, 85, 646, 348, 530, 1144, 258, 469, 6838, 15437, 323, 1070, 527, 912, 1403, 1023, 15285, 400, 82, 518, 259, 45801, 1778, 430, 400, 82, 6, 366, 503, 366, 602, 366, 259, 45801, 323, 400, 85, 15511, 82, 8439, 348, 15511, 83, 8439, 1144, 258, 469, 6838, 8, 13244, 1226, 649, 9855, 430, 1070, 374, 912, 11008, 14454, 555, 220, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5431, 348, 15511, 83, 12, 16, 3500, 55976, 311, 1518, 420, 555, 46220, 2980, 264, 11008, 400, 34, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 92, 13244, 3296, 1144, 69292, 1116, 58, 38548, 25, 16, 15731, 49945, 220, 16, 92, 59060, 4884, 1070, 3073, 44321, 1752, 25492, 400, 34, 62, 16, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 323, 400, 34, 62, 17, 3, 14454, 555, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 92, 348, 1107, 92, 13244, 3296, 25329, 400, 85, 646, 348, 530, 3, 374, 279, 1193, 6964, 1778, 430, 400, 82, 366, 503, 3, 323, 400, 83, 871, 602, 1144, 26, 13244, 15636, 11, 220, 1070, 374, 912, 6964, 1990, 400, 53, 3100, 62, 16, 15437, 323, 220, 400, 53, 3100, 62, 17, 8, 13244, 4800, 11, 1095, 400, 51, 3, 387, 264, 5021, 4613, 555, 279, 6964, 743, 345, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 62, 16, 85, 15511, 73, 2186, 348, 15511, 72, 92, 85, 1107, 59, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 1144, 7148, 51, 55976, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 59836, 7966, 3505, 271, 59836, 32710, 3, 57417, 11, 584, 649, 1101, 9855, 430, 3060, 400, 82, 1144, 818, 80, 503, 25279, 16, 3, 220, 477, 400, 83, 1144, 818, 80, 602, 8296, 16, 55976, 6062, 584, 617, 279, 24051, 1122, 11008, 59060, 7848, 3833, 65626, 4935, 90, 85, 62, 16, 348, 646, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 530, 348, 1107, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 8439, 348, 15511, 73, 23742, 348, 62, 16, 3, 323, 555, 1144, 68175, 58, 791, 13475, 220, 24, 15731, 587, 2308, 72, 92, 1221, 585, 554, 1144, 1820, 444, 585, 554, 59836, 4884, 10187, 382, 59836, 32710, 3, 1383, 46220, 11, 23289, 430, 400, 82, 1144, 818, 80, 503, 25279, 16, 13244, 6914, 400, 85, 4803, 3, 387, 279, 12202, 24894, 311, 400, 85, 15511, 73, 25279, 16, 32816, 11, 323, 400, 74, 1144, 84880, 1144, 90, 73, 25279, 17, 11, 503, 16154, 92, 13244, 1102, 649, 387, 6982, 430, 400, 74, 871, 503, 25279, 16, 55976, 2533, 6062, 555, 13126, 279, 24051, 1122, 1853, 400, 47, 1232, 1144, 26, 1144, 7848, 3833, 65626, 4935, 90, 348, 15511, 74, 10, 16, 92, 348, 15511, 73, 25279, 16, 3500, 59, 7848, 3833, 65626, 4935, 90, 85, 4803, 348, 62, 16, 92, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 73, 8439, 348, 1107, 32816, 11, 220, 279, 502, 400, 72, 25279, 73, 45801, 374, 7191, 1109, 279, 2362, 832, 323, 420, 23093, 31095, 1057, 25329, 922, 400, 47, 3, 304, 279, 1144, 69292, 1116, 58, 5756, 25, 17, 15731, 4301, 220, 17, 92, 382, 59836, 32710, 3, 1687, 1440, 430, 400, 73, 6, 366, 597, 366, 602, 13244, 23674, 11, 279, 2144, 430, 220, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 1587, 539, 1376, 264, 11008, 23093, 31095, 279, 1162, 430, 400, 73, 6, 366, 597, 1144, 273, 503, 13244, 2100, 400, 73, 366, 597, 366, 602, 13244, 21829, 1403, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 55976, 15947, 449, 279, 17672, 400, 85, 62, 16, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 73, 8439, 348, 15511, 73, 3500, 348, 62, 16, 3, 323, 400, 85, 1107, 1144, 7848, 3833, 65626, 4935, 90, 85, 15511, 72, 8439, 348, 15511, 72, 3500, 348, 1107, 13244, 578, 25492, 400, 34, 62, 16, 3, 323, 400, 34, 62, 17, 3, 527, 44321, 1752, 11, 6062, 1070, 3073, 25492, 14454, 555, 279, 13006, 59060, 7848, 3833, 65626, 4935, 90, 85, 15511, 82, 10, 16, 92, 348, 5487, 32816, 477, 59060, 7848, 3833, 65626, 4935, 90, 85, 5431, 348, 15511, 83, 12, 16, 3500, 13244, 4800, 11, 7124, 264, 5021, 400, 51, 3, 449, 279, 6964, 743, 198, 14415, 469, 59, 16010, 11781, 71900, 650, 6838, 8, 1144, 751, 39465, 1144, 16548, 12692, 3100, 62, 16, 8, 1144, 37765, 650, 3100, 62, 17, 10929, 16548, 10929, 72282, 1144, 16010, 8, 1144, 16548, 11600, 1144, 16010, 7, 469, 5417, 8, 1144, 37765, 1144, 90, 85, 646, 348, 530, 11, 348, 4803, 348, 15511, 73, 25279, 16, 11281, 92, 1144, 16010, 705, 14415, 198, 438, 3881, 1144, 69292, 1116, 58, 9830, 25, 16, 15731, 46425, 220, 16, 92, 59060, 4884, 2000, 279, 17071, 1144, 7148, 51, 55976, 400, 34, 62, 16, 55976, 400, 34, 62, 17, 59836, 28374, 59, 408, 90, 77669, 534, 59, 408, 90, 77669, 534, 59, 408, 90, 16157, 633, 1734, 78, 33940, 59, 1342, 13536, 90, 49945, 220, 17, 13, 534, 59, 1530, 90, 38548, 25, 17, 534, 44623, 11, 304, 279, 11311, 315, 279, 3766, 58917, 584, 8710, 264, 16643, 1121, 11, 430, 374, 11, 369, 1475, 11917, 481, 41999, 4876, 1070, 374, 264, 66266, 449, 520, 1455, 1403, 25492, 382, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 48240, 20195, 101746, 18821, 99441, 14551, 8679, 22426, 12569, 15722, 116640, 64241, 52794, 29481, 81052, 66890, 34363, 14266, 65094, 104343, 9387, 10220, 95968, 76120, 122511, 14174, 14868, 28225, 125196, 75740, 124181, 19662, 114614, 7900, 115869, 101590, 36285, 56924, 113997, 101838, 65341, 15191, 123526, 117795, 24076, 115858, 71857, 126396, 14970, 20355, 45952, 86990, 42680, 117524, 109419, 66295, 23632, 76369, 20846, 115469, 95350, 93887, 96530, 109253, 92764, 8078, 108937, 99537, 15342, 96134, 71185, 41695, 19979, 11067, 120858, 24057, 101826, 75923, 50012, 92334, 78699, 86677, 105793, 23478, 32344, 60376, 121024, 12923, 75901, 3142, 67551, 104203, 29581, 113868, 38846, 59533, 33530, 100970, 69286, 121354, 26519, 14550, 82079, 84667, 23919, 79526, 96306, 64721, 32171, 53917, 4782, 114086, 56180, 117305, 93256, 30306, 7264, 67561, 34984, 1092, 62208, 39288, 106138, 19336, 75952, 64950, 125295, 71945, 4734, 24891, 69847, 15239, 6154, 51219, 39757, 91920, 103915, 121944, 14404, 38164, 122461, 40099, 65182, 68595, 117730, 63666, 2556, 48743, 69342, 55003, 23761, 14542, 48214, 55187, 11188, 87334, 87760, 83500, 44088, 92595, 68055, 54728, 42674, 33890, 112296, 70980, 17418, 64588, 48184, 98789, 55277, 101692, 90914, 22352, 34809, 4904, 46968, 110476, 34550, 41280, 64328, 79222, 42230, 110827, 49641, 10616, 47237, 98614, 666, 105824, 91829, 4590, 101803, 110329, 50834, 30598, 55915, 23181, 61511, 28741, 107720, 25843, 72854, 108910, 71782, 122331, 4855, 68131, 75417, 92704, 89674, 83614, 17380, 23580, 98379, 125247, 47594, 93261, 9162, 99714, 17403, 56589, 8995, 34741, 7669, 25666, 92077, 77635, 32452, 57551, 48657, 83991, 65622, 70170, 43391, 43893, 54991, 99582, 70928, 123593, 35097, 101879, 38945, 474, 107932, 4355, 105818, 80748, 22860, 14669, 39114, 105155, 7579, 106701, 68061, 7168, 69244, 75516, 74111, 4799, 80134, 77299, 65761, 106941, 101417, 33574, 105966, 79147, 3196, 19838, 21702, 68698, 47647, 31405, 45789, 51240, 3841, 48976, 11823, 47588, 106303, 107537, 92822, 39482, 8001, 20535, 77142, 53746, 120236, 96877, 43107, 90199, 124157, 78207, 14153, 37304, 107066, 20012, 40251, 87839, 33787, 17800, 22901, 94746, 71057, 103197, 10797, 3022, 76399, 51463, 9198, 93467, 93961, 111743, 70617, 36651, 99923, 112965, 67475, 123469, 4584, 26540, 50758, 101316, 51706, 103014, 7419, 125878, 80875, 91970, 94058, 38970, 26177, 110755, 66956, 125769, 56483, 56249, 35585, 38405, 109673, 33296, 74714, 36080, 42732, 27818, 70705, 78134, 21090, 118451, 20753, 22193, 85628, 115812, 52814, 48718, 93422, 76238, 117012, 26609, 65520, 6859, 47797, 124168, 92220, 76503, 124454, 59453, 23087, 32479, 112301, 97803, 103349, 71053, 105617, 74720, 106033, 55181, 67379, 93790, 51400, 73737, 108328, 48461, 53027, 24249, 61456, 56841, 20305, 112260, 122907, 113886, 48443, 126305, 2700, 51119, 57822, 114332, 65419, 119, 27560, 110803, 79449, 46743, 112819, 65941, 101167, 88390, 126020, 6659, 30220, 56272, 87567, 20760, 81300, 86199, 83935, 69293, 110736, 103129, 31194, 22166, 62243, 118094, 57588, 32778, 92884, 10047, 98024, 91657, 123340, 63898, 89940, 37067, 48028, 7957, 34478, 13965, 52890, 51300, 21392, 31758, 79280, 24191, 12623, 93369, 65137, 124617, 25185, 45326, 37860, 12372, 16864, 12061, 26124, 94439, 38279, 55942, 57611, 74319, 125644, 41271, 92519, 29906, 12391, 110375, 59095, 61265, 84105, 24083, 72434, 108526, 65958, 94377, 22942, 48751, 39216, 37287, 61184, 37715, 18938, 41985, 40100, 46650, 33786, 93759, 54828, 8037, 8169, 78983, 21290, 106261, 97389, 75208, 89359, 101917, 65309, 69563, 20159, 105654, 17206, 53223, 24645, 56024, 72711, 19272, 60574, 19250, 98430, 81398, 100662, 23362, 108080, 87854, 60029, 100552, 18679, 49976, 64954, 110974, 74435, 101488, 46568, 111381, 45601, 2461, 88705, 125704, 48664, 117307, 80109, 1468, 14684, 64198, 62098, 96844, 23620, 101895, 107629, 106607, 74332, 84841, 72678, 60703, 6094, 36272, 5613, 39791, 38245, 68170, 52188, 8184, 55250, 67984, 99888, 10419, 109083, 45894, 63675, 119945, 62566, 113625, 43858, 87668, 29844, 73959, 13909, 43605, 91232, 1986, 100287, 70371, 43659, 112858, 2282, 44742, 54166, 3997, 93784, 75951, 58642, 8267, 47304, 102058, 20278, 113621, 45785, 14577, 34455, 49806, 121612, 96299, 30703, 53771, 59181, 4632, 80517, 6604, 71563, 32612, 50860, 83054, 11183, 14022, 90035, 117077, 124372, 70478, 78672, 66475, 80347, 29619, 59219, 112538, 101149, 29194, 25766, 19755, 23031, 5728, 10551, 54011, 118255, 3150, 87961, 65335, 113798, 51192, 100075, 15251, 32634, 12261, 22257, 118549, 2123, 36499, 98080, 94056, 42232, 52810, 65316, 36165, 52840, 123782, 6108, 26709, 15281, 62556, 62248, 82901, 17780, 39150, 97240, 42399, 55808, 55130, 84391, 13167, 4608, 8456, 4162, 87998, 9575, 6269, 715, 8042, 83834, 101214, 125374, 71149, 34222, 76968, 15657, 78481, 13550, 2431, 124405, 82911, 74011, 9587, 90875, 103181, 10716, 2186, 25827, 77061, 42700, 788, 126145, 73375, 105047, 5463, 36120, 26633, 72843, 74421, 4803, 34253, 103644, 125579, 104285, 24427, 77777, 111085, 31856, 917, 785, 70807, 103536, 14252, 35793, 143, 99302, 127969, 6862, 36454, 19434, 78344, 96254, 92219, 13263, 120991, 115890, 22528, 115428, 21048, 30646, 86945, 127161, 16764, 122697, 61457, 62337, 6690, 35672, 28820, 59705, 72172, 104148, 38667, 1632, 94023, 80002, 104792, 109246, 73287, 21562, 57545, 123606, 68736, 81971, 63011, 81997, 13998, 96666, 105169, 54659, 17004, 28131, 46147, 18506, 54890, 72510, 69053, 71523, 101352, 38496, 43247, 22569, 44044, 100458, 16480, 3462, 12054, 54013, 83348, 73439, 102253, 118655, 94896, 125969, 86788, 106882, 7672, 99476, 76247, 4789, 96563, 23850, 82801, 59837, 94441, 102337, 40268, 94165, 90451, 84949, 73420, 34724, 52424, 83509, 51715, 105623, 23431, 89997, 69510, 72078, 113763, 12152, 60812, 37792, 125607, 99712, 20090, 40665, 94029, 45818, 8548, 47519, 78765, 102941, 98752, 60635, 5193, 15087, 87893, 54427, 78880, 14702, 61683, 101999, 72521, 114081, 54900, 39023, 16784, 103301, 75922, 21741, 25189, 46783, 108315, 92272, 90979, 14571, 59272, 1524, 115540, 4018, 8550, 19043, 8032, 50706, 117634, 34573, 123525, 79199, 113565, 109497, 87503, 65475, 108362, 97873, 93131, 78316, 63712, 63505, 1866, 55673, 96164, 41151, 54595, 16195, 62481, 35603, 2843, 89792, 21287, 22460, 114332, 43619, 98434, 75853, 29055, 21932, 59635, 27272, 107173, 67244, 7665, 122752, 37528, 98755, 99752, 80397, 6755, 95980, 69920, 60683, 78722, 89881, 99836, 31187, 119791, 79920, 121475, 63106, 88825, 106956, 16462, 81633, 71165, 27585, 3936, 22227, 98147, 91822, 61317, 118289, 125910, 29615, 17968, 29055, 125384, 14874, 33594, 121308, 123176, 33397, 125937, 56935, 48901, 34864, 51610, 53155, 32021, 116797, 118809, 7775, 12857, 71743, 46046, 122313, 78473, 16501, 101575, 67514, 123945, 26976, 127755, 68598, 102079, 107411, 49063, 10721, 55068, 67447, 67624, 113803, 85950, 27503, 5707, 69683, 118937, 34153, 120147, 831, 25623, 93069, 6870, 16179, 100480, 96571, 584, 53351, 12452, 69249, 37455, 98387, 61784, 1614, 71038, 97155, 7436, 4592, 11661, 79824, 25665, 93348, 67396, 100107, 51825, 4341, 5415, 48093, 62928, 20290, 95475, 87, 53957, 15770, 115457, 127517, 1366, 122741, 111095, 65022, 20233, 41033, 120480, 78703, 68869, 127868, 12760, 38834, 28074, 83989, 83125, 126430, 63985, 56350, 114368, 88297, 47736, 112497, 100411, 29448, 40937, 52984, 1390, 99630, 113804, 33809, 47744, 29742, 116764, 85434, 97934, 17403, 40479, 110440, 37748, 6996, 66789, 24849, 29099, 41130, 10763, 96156, 51954, 8777, 41485, 47131, 97268, 25895, 53115, 65256, 67955, 19095, 18750, 72179, 79772, 96498, 106529, 42475, 84672, 67262, 119435, 38218, 74006, 78457, 42664, 44493, 55438, 48071, 86460, 48312, 54075, 26040, 40419, 12375, 95675, 80719, 16773, 95645, 119914, 79006, 119794, 126771, 34728, 8006, 11668, 54859, 42422, 91904, 110985, 109529, 1032, 97276, 126383, 93193, 69587, 82347, 49581, 105760, 8745, 53805, 9886, 40905, 16818, 115496, 108552, 96912, 113914, 66909, 105059, 64630, 67402, 47445, 72401, 31714, 112229, 89182, 40033, 63953, 123767, 31788, 113215, 69402, 14262, 102958, 18934, 63139, 44924, 4906, 31506, 89507, 113826, 71711, 7763, 36261, 59113, 17242, 90526, 24899, 11867, 105933, 64073, 50506, 100835, 125743, 59555, 24465, 83733, 66855, 89109, 73274, 74689, 113674, 33857, 126048, 118314, 53805, 52266, 17176, 123609, 8502, 103713, 61941, 89698, 79198, 89760, 46016, 84260, 20849, 29156, 125010, 78417, 110926, 79140, 127716, 117328, 50197, 108106, 23218, 44665, 2817, 84765, 116618, 52174, 66051, 99686, 118789, 46618, 49508, 119465, 89737, 6542, 3567, 38021, 85408, 79575, 47063, 108162, 36307, 59114, 16456, 26929, 26813, 124968, 120659, 90656, 65129, 115202, 15941, 113501, 62825, 35487, 58413, 75449, 305, 107458, 28458, 7709, 2865, 936, 53105, 31268, 10349, 50376, 126654, 45440, 11102, 56697, 98145, 112962, 93624, 38625, 22181, 35986, 73276, 31373, 55721, 47085, 120873, 57591, 59216, 32983, 125933, 10221, 74768, 50957, 3743, 103050, 69470, 53989, 62339, 90018, 106712, 74934, 59145, 124083, 66864, 68153, 33723, 107783, 111892, 50832, 78743, 89870, 28893, 123932, 44447, 16979, 100412, 34165, 28989, 5297, 107754, 81189, 30834, 12327, 118230, 118793, 115346, 60807, 75594, 31667, 62208, 20335, 30245, 86506, 32800, 64421, 97981, 21237, 7408, 17337, 59087, 47189, 67033, 99679, 122420, 119532, 93634, 28346, 59618, 76988, 88395, 62999, 35082, 11991, 66136, 85601, 30036, 81115, 840, 114363, 72446, 90873, 67684, 79791, 92999, 82520, 40551, 73901, 7588, 8205, 100753, 57372, 124897, 67094, 46621, 25679, 6431, 26819, 3144, 28268, 14187, 127563, 96240, 57816, 25463, 66609, 60047, 111736, 111469, 13110, 65642, 53312, 89735, 127602, 99628, 64116, 50258, 48239, 24841, 99071, 123680, 83746, 48449, 10398, 100138, 3839, 55489, 115195, 72099, 52728, 100408, 76877, 70563, 103834, 25453, 109473, 33299, 118724, 105510, 43143, 86908, 2814, 82372, 58806, 61519, 17289, 119618, 121725, 120926, 79896, 82363, 64321, 43724, 127244, 111678, 90146, 19434, 69197, 77464, 125678, 29065, 36147, 30969, 42402, 32131, 126474, 85395, 120421, 58471, 59924, 57184, 94089, 42539, 116689, 76228, 92962, 53356, 85976, 105486, 121448, 63749, 47852, 10881, 74695, 75617, 78997, 18353, 122180, 119860, 112640, 109698, 85904, 20836, 31557, 2674, 124135, 106714, 66650, 56127, 113017, 73086, 93364, 11657, 53575, 1770, 42723, 22003, 34742, 62112, 94395, 90645, 4432, 121779, 98158, 73408, 4381, 38099, 81362, 64546, 99176, 125235, 94651, 62040, 85202, 21163, 85884, 3885, 52267, 46592, 42739, 90312, 38376, 48339, 15580, 81605, 36608, 112980, 70296, 15113, 50606, 71692, 62303, 41067, 51511, 62854, 38434, 37052, 27082, 73195, 54452, 112964, 1181, 123763, 1152, 108157, 82784, 92116, 32802, 61108, 45392, 43564, 4111, 39436, 96555, 21070, 107032, 85815, 118998, 112425, 71287, 65551, 98009, 71975, 99770, 94296, 34348, 69826, 3587, 66828, 53790, 28762, 47365, 47417, 46082, 63889, 116887, 21359, 100250, 70601, 107390, 34294, 2445, 66595, 99015, 96813, 93029, 22766, 13224, 35403, 122652, 111992, 121506, 99764, 18675, 68601, 34199, 21662, 18423, 111837, 69576, 22782, 117747, 27033, 56277, 105449, 70423, 72507, 97340, 11897, 20109, 96910, 106543, 100780, 103561, 41474, 35315, 21918, 118146, 48528, 76906, 80243, 73684, 5662, 64029, 114067, 73089, 72472, 119096, 81551, 46875, 14602, 43594, 8415, 58588, 56970, 46163, 97010, 19326, 101566, 99033, 41115, 44985, 83378, 25559, 19959, 26762, 120252, 116889, 120841, 108454, 118483, 62598, 5145, 52762, 117307, 57526, 11102, 56627, 109636, 51927, 119150, 38015, 35202, 490, 24431, 98998, 64648, 126457, 582, 23715, 18826, 41183, 72847, 94336, 5229, 49056, 9399, 40967, 67041, 29351, 92123, 44961, 84916, 114570, 107283, 44064, 115275, 41036, 33308, 22288, 78084, 22829, 1769, 53948, 40392, 65470, 64568, 76379, 97695, 89264, 49461, 38444, 9140, 78271, 74831, 52197, 107458, 81777, 93101, 71306, 47819, 65088, 112998, 17454, 52842, 5033, 94017, 50234, 5604, 119804, 98937, 46831, 43761, 86436, 104330, 84311, 45632, 53527, 38356, 14318, 639, 14576, 39855, 85010, 3763, 17518, 16734, 81878, 41223, 88911, 78151, 107441, 121508, 118908, 110450, 109011, 50114, 67388, 24481, 96603, 4915, 108246, 8200, 59810, 60544, 120936, 116407, 5517, 84631, 111343, 6340, 89924, 26819, 96464, 37130, 97466, 91070, 47294, 68714, 106122, 92897, 42205, 69741, 9403, 99595, 10113, 43122, 98708, 20047, 10963, 73477, 106102, 92679, 88070, 2699, 27547, 70182, 14444, 48450, 11262, 7772, 69185, 29784, 54937, 45554, 11607, 68213, 12931, 67059, 80197, 47992, 112893, 54970, 124452, 121547, 124921, 123512, 48168, 91801, 52403, 19012, 71183, 19091, 83163, 38129, 52019, 65902, 35457, 69826, 49032, 34644, 115170, 77562, 119134, 83783, 121606, 103938, 69488, 59579, 76965, 4324, 4988, 14566, 64480, 48916, 20835, 120919, 31226, 2282, 10300, 5869, 78072, 27818, 10991, 15077, 18506, 46038, 126827, 67130, 54291, 63401, 97421, 89336, 95372, 118565, 108968, 80686, 23041, 28918, 33102, 50010, 120069, 59554, 104072, 121225, 55965, 119325, 38531, 105375, 84373, 80408, 92997, 107795, 111960, 66140, 34679, 96415, 42307, 125195, 91980, 86975, 93834, 101493, 22761, 78957, 20963, 782, 100034, 40713, 67879, 25312, 10034, 63990, 88024, 27596, 70817, 33804, 74271, 88370, 13154, 11559, 92524, 95642, 34100, 60300, 49418, 34737, 4430, 117646, 67487, 85498, 120803, 79810, 11535, 43713, 81342, 42620, 96869, 31672, 57248, 89097, 32611, 94390, 112482, 20232, 73925, 36240, 63399, 110909, 61535, 9661, 60685, 105104, 64299, 71516, 127626, 120146, 91579, 84854, 64454, 120263, 94580, 101508, 10087, 122322, 108422, 95486, 50462, 29606, 36668, 104881, 68402, 97617, 3597, 111787, 99356, 3899, 111783, 50664, 13261, 22555, 44346, 11167, 125436, 58092, 66145, 61099, 29756, 119888, 114909, 68062, 73478, 11841, 68739, 9374, 104439, 126508, 431, 118400, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]

[ 128000, 59, 2879, 90, 3617, 16379, 315, 51593, 26800, 33317, 501, 3125, 2634, 59, 7413, 90, 18257, 9, 44489, 83, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 20, 13, 19, 258, 15731, 30035, 16, 1809, 197, 197, 73759, 8920, 20597, 15, 13, 20, 336, 1809, 197, 59, 24232, 90, 50, 82149, 68782, 315, 20622, 363, 556, 26800, 26148, 13, 320, 64, 2432, 65, 8, 1221, 44322, 2536, 5621, 4778, 323, 6004, 42174, 6070, 26, 2591, 197, 197, 1361, 2432, 67, 8, 578, 11223, 51593, 26800, 33317, 501, 3125, 323, 1202, 44899, 7106, 1646, 13, 1809, 197, 59, 1530, 90, 915, 25, 915, 16, 1809, 197, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 9, 1809, 22804, 1144, 1116, 90, 915, 25, 915, 16, 26628, 64, 8, 323, 220, 16, 1921, 8, 1501, 279, 7434, 315, 279, 21349, 14726, 315, 4447, 89, 4692, 380, 535, 26148, 13, 578, 4447, 89, 4692, 380, 535, 5540, 527, 3060, 6004, 505, 11, 477, 8774, 389, 11, 279, 54057, 13, 578, 27541, 1746, 50, 3, 8, 315, 279, 26148, 374, 4613, 3196, 389, 279, 11595, 315, 279, 8844, 13957, 2349, 1746, 59, 20892, 432, 19945, 3, 8, 315, 279, 60199, 2449, 323, 279, 26800, 9435, 311, 279, 54057, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 5903, 59, 7413, 90, 26378, 367, 1809, 50, 284, 20374, 20892, 432, 19945, 5738, 59, 85, 548, 60992, 15511, 2008, 1809, 59, 1530, 90, 11251, 14835, 48937, 1809, 59, 408, 90, 26378, 367, 1809, 644, 5369, 11, 279, 8844, 13957, 2349, 59060, 20892, 432, 19945, 3, 649, 387, 16997, 505, 279, 31990, 8331, 1746, 37432, 3, 8, 315, 279, 3769, 1511, 311, 1304, 279, 4447, 89, 4692, 380, 535, 5540, 25, 59060, 20892, 432, 19945, 284, 41126, 1144, 85, 548, 60992, 15511, 485, 32816, 11, 1405, 59060, 85, 548, 60992, 15511, 485, 32816, 374, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 5436, 13, 763, 1455, 315, 279, 21349, 26800, 13819, 51259, 439, 6982, 304, 23966, 13, 1144, 1116, 90, 915, 25, 915, 16, 92, 320, 64, 8568, 705, 279, 26839, 315, 279, 60199, 6324, 374, 11383, 3770, 264, 2478, 7895, 20622, 33504, 11, 902, 374, 1790, 9333, 1109, 430, 315, 279, 54057, 13, 15636, 11, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 380, 535, 5540, 374, 13489, 279, 1890, 439, 430, 315, 279, 54057, 1746, 59, 85, 548, 60992, 15511, 485, 92, 1144, 49153, 1144, 85, 548, 60992, 15511, 2008, 32816, 570, 53123, 11, 311, 7417, 279, 27541, 315, 26800, 26148, 320, 68, 1326, 13, 41039, 287, 59060, 20892, 432, 19945, 3, 705, 20314, 20414, 902, 649, 53744, 279, 31990, 8331, 1746, 37432, 3, 8, 527, 2631, 13, 35053, 11, 439, 46752, 11, 279, 14209, 315, 279, 3544, 31990, 8331, 304, 20622, 363, 3946, 4245, 311, 31228, 66678, 477, 7479, 1614, 11, 374, 2103, 6646, 439, 20733, 13, 720, 319, 2181, 374, 1101, 30576, 505, 34222, 13, 1144, 1116, 90, 11251, 14835, 48937, 92, 430, 279, 27541, 315, 26800, 26148, 649, 1101, 387, 13241, 1701, 264, 22936, 5603, 11, 902, 41039, 288, 279, 26800, 36572, 1139, 279, 4447, 89, 4692, 380, 535, 2449, 13, 19575, 1144, 1116, 90, 915, 25, 915, 16, 26628, 66, 8, 5039, 1057, 11223, 51593, 26800, 33317, 501, 3125, 6070, 11, 304, 902, 279, 4447, 89, 4692, 380, 535, 20622, 363, 3946, 527, 24392, 70554, 520, 279, 12541, 315, 264, 6004, 14497, 13, 578, 1401, 4623, 315, 420, 6070, 374, 430, 11, 1234, 264, 3738, 26800, 9435, 311, 279, 54057, 11, 264, 3544, 26800, 690, 387, 38626, 520, 279, 24392, 70554, 12095, 34, 20622, 363, 3946, 13, 578, 3318, 17966, 315, 279, 51593, 26800, 33317, 501, 3125, 374, 4528, 311, 430, 315, 279, 1664, 22015, 5679, 20337, 6070, 11, 902, 374, 13882, 1511, 311, 70755, 279, 22781, 458, 8333, 315, 7384, 1144, 68175, 90, 18964, 20337, 16, 12260, 540, 20337, 17, 7966, 3011, 374, 11, 994, 264, 8631, 374, 9435, 311, 279, 5679, 20337, 7666, 2070, 315, 264, 3738, 3769, 11, 264, 17944, 11, 422, 8066, 11, 690, 12446, 520, 279, 6278, 961, 315, 279, 5679, 20337, 13, 578, 3544, 26800, 38626, 520, 279, 15376, 3158, 7559, 520, 279, 12541, 961, 449, 5201, 311, 279, 22622, 5789, 7559, 520, 16335, 5654, 11, 11384, 279, 17944, 13, 20143, 22018, 323, 47616, 41941, 315, 279, 51593, 26800, 33317, 501, 3125, 527, 10666, 439, 11263, 13, 73845, 2520, 279, 25491, 315, 40075, 11, 279, 6004, 8162, 4124, 323, 20622, 363, 556, 320, 15698, 9244, 477, 1358, 8, 315, 279, 51593, 26800, 33317, 501, 3125, 649, 387, 6646, 439, 6573, 42242, 11, 23966, 13, 1144, 1116, 90, 915, 25, 915, 16, 26628, 67, 570, 578, 70334, 315, 1521, 42242, 527, 55272, 311, 872, 2430, 1746, 86, 3, 8, 323, 65683, 989, 55272, 311, 872, 3160, 320, 75, 1680, 400, 42, 1144, 782, 59091, 289, 13631, 13244, 53123, 11, 279, 1646, 315, 279, 6004, 20622, 363, 556, 323, 8162, 14418, 649, 387, 44899, 439, 264, 4101, 315, 42242, 11, 1405, 279, 42242, 449, 5190, 70334, 8024, 311, 279, 8162, 4124, 11, 323, 279, 3254, 10683, 449, 4827, 70334, 34310, 311, 279, 20622, 363, 556, 13, 1102, 374, 1664, 22015, 304, 29924, 22027, 430, 11, 369, 6275, 398, 8599, 42242, 11, 264, 8294, 26800, 690, 387, 38626, 304, 279, 3428, 313, 267, 3168, 2136, 925, 11, 1418, 264, 9333, 26800, 690, 387, 36572, 304, 279, 1579, 313, 267, 3168, 2136, 925, 1144, 68175, 90, 26208, 2239, 7966, 578, 2768, 6492, 10484, 275, 8046, 11497, 279, 23201, 2461, 315, 279, 26800, 13, 43725, 59, 7413, 90, 18257, 44489, 65, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 17, 1809, 197, 73759, 8920, 20597, 16, 336, 1809, 197, 59, 24232, 90, 77670, 2449, 6492, 315, 279, 26800, 36572, 304, 311, 279, 20622, 363, 556, 1358, 35988, 51593, 26800, 33317, 501, 3125, 13, 1809, 197, 59, 1530, 90, 915, 25, 915, 17, 1809, 59, 408, 90, 18257, 1809, 4599, 264, 22781, 458, 22936, 26800, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 8, 374, 9435, 311, 279, 54057, 11, 279, 6004, 6070, 690, 1101, 387, 74595, 660, 13, 8876, 279, 70334, 315, 279, 6004, 4124, 374, 1790, 9333, 1109, 430, 315, 279, 54057, 11, 433, 374, 6220, 311, 9855, 430, 279, 6004, 6070, 690, 11263, 279, 74595, 367, 315, 279, 54057, 13, 578, 44153, 315, 279, 6004, 6070, 59060, 20892, 445, 3, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 59, 20892, 445, 284, 1144, 20892, 445, 722, 489, 1144, 20892, 445, 1107, 284, 445, 722, 1144, 85, 548, 60992, 722, 489, 445, 1107, 1144, 85, 548, 60992, 1107, 319, 59, 1530, 90, 11251, 25, 4338, 16491, 1809, 59, 408, 90, 26378, 367, 92, 2591, 2940, 400, 43, 722, 55976, 400, 43, 1107, 3, 527, 279, 3160, 26, 59060, 20892, 445, 722, 55976, 59060, 20892, 445, 1107, 3, 527, 279, 44153, 26, 323, 59060, 85, 548, 60992, 722, 55976, 59060, 85, 548, 60992, 1107, 3, 527, 279, 42400, 36572, 1139, 279, 8162, 10683, 323, 51593, 10683, 11, 15947, 13, 578, 1207, 20420, 296, 323, 308, 2559, 369, 279, 8162, 14418, 323, 20622, 363, 3946, 11, 15947, 13, 24296, 11, 4245, 311, 279, 56411, 315, 279, 94791, 5457, 1746, 37, 3, 8, 3235, 279, 4101, 315, 42242, 11, 279, 2768, 5133, 374, 9749, 25, 400, 37, 28, 735, 722, 59, 20892, 445, 722, 284, 735, 1107, 1144, 20892, 445, 1107, 55976, 1405, 400, 42, 722, 55976, 400, 42, 1107, 3, 527, 279, 70334, 315, 279, 6004, 8162, 14418, 323, 20622, 363, 3946, 11, 15947, 13, 53123, 279, 5133, 1990, 279, 44153, 315, 279, 8162, 4124, 320, 90447, 70334, 8, 323, 20622, 363, 3946, 320, 15115, 70334, 8, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 59, 38118, 36802, 20892, 445, 722, 15523, 59, 20892, 445, 1107, 92, 35533, 38118, 90, 42, 1107, 15523, 42, 722, 92, 35533, 38118, 90, 43, 722, 86, 1107, 15523, 43, 1107, 86, 722, 1809, 59, 1530, 90, 11251, 25, 20732, 4008, 1809, 59, 408, 90, 26378, 367, 1809, 3214, 3781, 10831, 34222, 77, 13, 1144, 1116, 90, 11251, 25, 20732, 4008, 92, 1139, 34222, 77, 13, 1144, 1116, 90, 11251, 25, 4338, 16491, 2186, 279, 26800, 36572, 1139, 279, 24392, 70554, 20622, 363, 3946, 374, 2904, 59, 7413, 90, 26378, 367, 1809, 73759, 548, 60992, 1107, 284, 1144, 38118, 36802, 20892, 445, 1107, 15523, 43, 1107, 92, 284, 1144, 38118, 90, 16, 15523, 16, 31629, 38118, 90, 86, 722, 2695, 1107, 15523, 86, 722, 11281, 38118, 90, 43, 722, 15523, 43, 3500, 59, 85, 548, 60992, 15511, 2008, 1809, 59, 1530, 90, 11251, 62396, 467, 1141, 1809, 59, 408, 90, 26378, 367, 92, 24226, 25523, 367, 1144, 1116, 90, 11251, 62396, 467, 1141, 92, 15151, 430, 7859, 279, 11595, 315, 400, 86, 722, 6458, 1107, 3, 323, 400, 43, 722, 7586, 1107, 3, 12207, 23201, 9803, 279, 26800, 36572, 1139, 279, 20622, 363, 556, 505, 279, 26800, 9435, 311, 279, 54057, 13, 1115, 1646, 374, 1101, 8581, 311, 279, 1162, 315, 20622, 363, 556, 18893, 11, 304, 902, 400, 86, 1107, 3, 374, 279, 2860, 2430, 315, 682, 20622, 363, 3946, 304, 279, 1358, 627, 319, 791, 32887, 1646, 374, 1243, 24884, 1701, 279, 35326, 2449, 6492, 320, 11673, 32, 570, 763, 279, 435, 19657, 19576, 11, 584, 9616, 279, 26800, 36572, 1139, 320, 72, 8, 2536, 6004, 20622, 363, 3946, 11, 320, 3893, 8, 279, 21977, 750, 6004, 20622, 363, 3946, 11, 323, 320, 35694, 8, 1057, 51593, 26800, 33317, 501, 3125, 6070, 11, 1701, 7837, 50, 1971, 59812, 71, 17688, 1144, 1342, 48126, 21799, 13, 763, 1057, 51593, 26800, 23201, 7922, 6070, 11, 279, 2430, 315, 279, 6004, 4124, 574, 743, 311, 387, 220, 23, 59060, 15479, 54616, 11, 1418, 279, 2430, 315, 1855, 20622, 363, 556, 304, 279, 1358, 320, 18, 36108, 8, 574, 743, 311, 387, 220, 14648, 26807, 13, 578, 20622, 363, 3946, 1358, 6070, 574, 4183, 439, 433, 649, 18885, 279, 20314, 6929, 685, 315, 279, 12095, 34, 20622, 363, 3946, 78736, 902, 3727, 279, 17876, 22772, 30816, 8831, 13, 578, 11595, 1990, 279, 3160, 315, 20622, 363, 3946, 323, 8162, 14497, 574, 743, 311, 387, 220, 16, 25, 220, 508, 13, 3161, 420, 69086, 12381, 15696, 11, 26800, 36572, 1139, 20622, 363, 3946, 1358, 59060, 85, 548, 60992, 1107, 3, 574, 8015, 2740, 16997, 311, 387, 13489, 220, 21, 3115, 8294, 1109, 59060, 85, 548, 60992, 15511, 2008, 32816, 11, 34222, 77, 13, 1144, 1116, 90, 11251, 62396, 467, 1141, 7966, 578, 19576, 3135, 1501, 430, 369, 682, 6070, 11, 279, 74595, 367, 315, 2536, 5621, 4778, 323, 6004, 20622, 363, 3946, 1833, 430, 315, 279, 54057, 13, 763, 5369, 11, 26800, 574, 4661, 6724, 23217, 1139, 21349, 6004, 323, 2536, 5621, 4778, 14726, 13, 24296, 11, 279, 11595, 315, 279, 26800, 36572, 304, 311, 279, 24392, 70554, 20622, 363, 3946, 574, 13240, 311, 387, 220, 20, 13, 24, 3115, 8294, 1109, 430, 315, 279, 54057, 11, 23966, 13, 1144, 1116, 90, 915, 25, 915, 17, 7966, 4314, 3135, 527, 304, 6573, 9306, 449, 279, 32887, 6492, 10666, 3485, 13, 1789, 264, 20622, 363, 556, 1358, 449, 459, 5578, 2430, 315, 220, 17711, 26807, 11, 279, 83598, 8895, 315, 26800, 574, 1766, 311, 387, 220, 19, 13, 20, 13, 40867, 881, 29815, 389, 279, 32887, 6492, 11, 584, 13375, 279, 2768, 21896, 311, 20461, 279, 1579, 27541, 315, 12095, 34, 20622, 363, 556, 26800, 26148, 1701, 279, 51593, 26800, 33317, 501, 3125, 13, 362, 15792, 220, 18, 34, 6354, 72, 34, 4632, 449, 1202, 26839, 315, 220, 3101, 26807, 574, 67422, 710, 34575, 15042, 389, 264, 220, 3965, 9653, 23899, 12095, 10667, 809, 1701, 3428, 7410, 11742, 68857, 414, 65374, 1144, 68175, 90, 22771, 34, 50282, 7966, 578, 4632, 574, 1144, 336, 764, 90, 258, 10109, 92, 294, 16771, 1701, 1708, 27420, 1821, 13, 578, 19115, 20545, 315, 279, 281, 10827, 220, 18, 34, 6354, 72, 34, 574, 1766, 311, 387, 400, 20, 1144, 15487, 220, 605, 48922, 972, 32816, 10166, 3, 88310, 18, 32816, 11, 1701, 264, 4106, 22477, 15105, 1144, 68175, 90, 46185, 575, 7966, 578, 3649, 315, 279, 17910, 315, 279, 15042, 4632, 649, 387, 1766, 18403, 1144, 68175, 90, 3438, 276, 10821, 11865, 7966, 3804, 39742, 11, 358, 7666, 2070, 281, 10827, 12095, 34, 22884 ]

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

[ 128000, 10171, 83454, 26179, 72738, 75734, 24206, 52266, 64445, 50244, 78148, 1984, 27869, 66639, 14812, 101474, 43611, 26965, 112764, 12753, 87953, 119382, 100619, 12746, 109534, 68142, 25717, 53316, 58285, 9229, 75942, 68953, 5755, 18308, 52593, 46332, 111718, 37765, 30769, 65455, 40419, 127590, 88167, 66844, 1235, 32787, 29688, 29521, 71708, 53014, 45204, 48369, 53235, 25214, 31312, 28672, 65749, 32325, 107764, 28898, 115827, 70854, 86646, 54476, 80026, 83564, 45939, 32471, 122155, 63062, 8607, 28706, 121714, 77672, 110734, 26738, 76231, 72798, 99564, 75828, 54257, 89628, 5899, 45335, 86691, 80760, 66735, 100187, 2055, 73910, 98542, 106187, 31752, 95315, 125006, 47130, 2780, 44690, 64336, 56351, 6511, 122974, 87568, 68894, 95152, 66266, 118059, 88514, 4225, 76329, 77752, 43601, 89713, 114925, 113328, 12104, 85137, 127091, 25927, 76009, 116632, 72455, 12601, 104782, 58209, 1111, 85016, 70664, 45290, 63375, 71782, 104825, 48000, 83746, 28865, 25838, 79, 60638, 55196, 82261, 105848, 100278, 35306, 50534, 41335, 94813, 51518, 77593, 32380, 99057, 19469, 50493, 121434, 11331, 103727, 126329, 27547, 57673, 35411, 85423, 122955, 67689, 124869, 56432, 52529, 115636, 37227, 57958, 80018, 93908, 92131, 70890, 51709, 54994, 107059, 64364, 15894, 74823, 106354, 50387, 40267, 84442, 22236, 86072, 92678, 64673, 120157, 62834, 108160, 70764, 9656, 40568, 51130, 126327, 100151, 58879, 51021, 119089, 114511, 10264, 110887, 59561, 119898, 13466, 21680, 124146, 20338, 123379, 36945, 67663, 24436, 7282, 95075, 105010, 123028, 87427, 16954, 3030, 115516, 49814, 107393, 41124, 19181, 22353, 106899, 33187, 51429, 69827, 18506, 112618, 101043, 32340, 119928, 96099, 69817, 70822, 123186, 42359, 69238, 11996, 92843, 21824, 59252, 32335, 113283, 79057, 81507, 76850, 1608, 14588, 111143, 42641, 126098, 98285, 121874, 83102, 43504, 46219, 121952, 32933, 43330, 13855, 36047, 44624, 7739, 15844, 35897, 16952, 30536, 27060, 84934, 5391, 119926, 38627, 79727, 45012, 76314, 23720, 120150, 8409, 102266, 90293, 2854, 58531, 31921, 76085, 60302, 97386, 23691, 48478, 60126, 16429, 63713, 40050, 118311, 47288, 34406, 99456, 18855, 56572, 20350, 33756, 22702, 107333, 40564, 87412, 97000, 84227, 61327, 32579, 83879, 85370, 35959, 29724, 49733, 113501, 98336, 113937, 85479, 117254, 114434, 31001, 111123, 94776, 67568, 47276, 110410, 122972, 13469, 52837, 123147, 75532, 16049, 102299, 124423, 122434, 21677, 66248, 23757, 120371, 9799, 107815, 59627, 104461, 3621, 51045, 58020, 21457, 88063, 91058, 9513, 21863, 125741, 106984, 37796, 124131, 30504, 22731, 88430, 18049, 18097, 87504, 367, 78682, 23577, 4632, 98772, 53177, 56198, 91087, 33501, 68798, 104769, 105053, 82281, 66714, 49619, 13814, 4749, 34514, 13887, 11273, 112917, 43723, 96269, 32805, 2271, 4970, 84922, 86343, 23897, 126529, 50264, 70949, 121873, 32414, 45650, 59649, 23854, 81476, 119401, 122011, 120832, 69274, 108869, 49025, 108, 106931, 59919, 80488, 17404, 88249, 27524, 117549, 81912, 3344, 52258, 71233, 31712, 22018, 45099, 124034, 71490, 122225, 24269, 40886, 80728, 2888, 15306, 60471, 121774, 32494, 43652, 93683, 81111, 83814, 80809, 84816, 58671, 85578, 78086, 30585, 273, 46714, 11742, 118328, 68407, 13435, 29360, 56808, 34212, 84699, 23534, 90460, 82571, 45662, 48760, 58855, 30392, 5065, 63064, 116601, 12662, 37676, 62975, 51922, 120338, 83866, 18249, 82572, 26356, 16115, 42038, 94539, 114102, 22874, 118385, 23183, 78718, 106946, 116584, 88933, 6767, 45012, 111000, 81180, 53949, 99177, 114428, 18214, 48310, 87813, 9950, 33487, 33030, 52793, 89191, 18971, 74121, 41728, 16300, 10080, 85900, 58937, 49715, 39199, 1657, 4061, 106405, 59187, 54731, 53595, 45595, 66698, 17688, 120968, 62742, 77048, 3974, 23215, 52683, 25335, 91747, 25475, 99400, 119023, 26157, 61427, 56548, 79943, 28810, 4973, 19575, 21772, 69310, 49072, 69440, 117506, 9356, 47550, 113601, 104701, 122652, 77761, 737, 7942, 60633, 35749, 40056, 63790, 100891, 54868, 89111, 2448, 123117, 117612, 86773, 9778, 28902, 84509, 55954, 71855, 36424, 29188, 5846, 30304, 91653, 30007, 21434, 23462, 25967, 41598, 77958, 127204, 71002, 20139, 36908, 99168, 116861, 18587, 2455, 40019, 113897, 55401, 73147, 45589, 13831, 107506, 69378, 82256, 69140, 113071, 89117, 114393, 127078, 3150, 14421, 19706, 17101, 85355, 69006, 33423, 10216, 124058, 101913, 19938, 125523, 67527, 102478, 58704, 40430, 4185, 27838, 113752, 87451, 14177, 44680, 113490, 53244, 95174, 83804, 21914, 48429, 68142, 59359, 17038, 32903, 50241, 3831, 91406, 26722, 116218, 43883, 48110, 71801, 123737, 68707, 13643, 86503, 92970, 74835, 49329, 69950, 34705, 122169, 11604, 8358, 53672, 25480, 27244, 114933, 97616, 100635, 40219, 89046, 35049, 35122, 27810, 116937, 59955, 55005, 76961, 78352, 63425, 90418, 118154, 19281, 102748, 12914, 7485, 5649, 24563, 111266, 77138, 25593, 120589, 83060, 52957, 114776, 29413, 6861, 47125, 106314, 82707, 66211, 61354, 117626, 62596, 100111, 52369, 57783, 90435, 18701, 10424, 112215, 46532, 61966, 24345, 46585, 108661, 48300, 106907, 87725, 4565, 92924, 117376, 2493, 49996, 11066, 69388, 65524, 121407, 43176, 27574, 62245, 48764, 102987, 107101, 100779, 45040, 32172, 25197, 44340, 82401, 18951, 39047, 56110, 38684, 32696, 1227, 78735, 51402, 17001, 93368, 11960, 64540, 107540, 13217, 19713, 16925, 5214, 104899, 29411, 61339, 78549, 105259, 108766, 26099, 72247, 54522, 62266, 63182, 77309, 87361, 44894, 113995, 115712, 51405, 68379, 68573, 7608, 8884, 117396, 97362, 3929, 30879, 103690, 108956, 123752, 115845, 77146, 119957, 65063, 36125, 38182, 110988, 122461, 3246, 55783, 32246, 114847, 79160, 18415, 26126, 51259, 72287, 98652, 120081, 96752, 34203, 35097, 100844, 31771, 36237, 92817, 72972, 33324, 14432, 43481, 21610, 76837, 79939, 55687, 121906, 113658, 85432, 113395, 103139, 38810, 112564, 56439, 61648, 2459, 39609, 1290, 81376, 92486, 88798, 16045, 12713, 118884, 126636, 70866, 8413, 122756, 104743, 123274, 124166, 70621, 17857, 42849, 14712, 103170, 7155, 8555, 24178, 90622, 108985, 58186, 12273, 7797, 84415, 116208, 22957, 119523, 75634, 122780, 86165, 110780, 96470, 19133, 87096, 1753, 103573, 111838, 58671, 85199, 84978, 60977, 3979, 49853, 83387, 93525, 52351, 46426, 31263, 103179, 71939, 80970, 58778, 60009, 36484, 113492, 22785, 108667, 114197, 126918, 47404, 42271, 109618, 112747, 72220, 77792, 120001, 30332, 15380, 1980, 34275, 76779, 126607, 668, 30899, 9700, 39018, 100454, 24907, 25507, 118420, 9878, 107838, 102370, 104495, 87732, 98108, 91559, 71622, 93900, 93583, 60945, 123958, 115223, 123600, 85422, 67110, 22737, 115180, 57222, 120919, 124288, 88179, 62857, 80396, 22822, 93052, 110331, 9562, 106463, 109669, 82813, 46040, 24726, 90726, 48380, 39317, 63883, 94763, 80298, 67066, 112762, 62550, 50477, 33157, 124935, 37923, 26430, 29486, 76101, 70316, 47238, 67165, 101097, 89333, 38976, 18623, 42982, 63624, 112273, 121433, 101480, 69675, 25660, 38041, 42917, 115739, 60382, 33080, 70019, 94000, 36121, 8513, 62017, 72202, 114652, 22577, 55226, 20777, 13078, 72460, 31091, 53963, 12623, 78258, 3285, 39563, 10688, 23047, 118252, 48058, 14983, 5402, 110856, 111416, 114286, 65885, 29457, 2379, 14241, 112048, 60775, 33207, 8872, 84879, 42687, 43750, 41841, 36325, 71150, 66591, 28983, 118842, 94609, 88546, 91916, 18513, 78372, 70084, 22409, 127090, 104046, 58008, 42899, 102441, 78844, 89877, 63363, 42155, 30025, 5812, 64802, 32346, 1675, 26302, 118910, 49458, 40762, 61495, 8744, 9677, 70581, 6430, 35608, 63053, 72421, 42446, 121811, 27762, 43814, 122907, 117920, 111203, 115279, 19529, 94743, 85734, 17578, 68643, 23673, 56002, 91352, 62887, 85588, 63130, 18021, 8446, 84426, 34948, 4380, 40362, 22349, 30624, 87551, 57939, 102558, 82954, 109049, 36600, 108027, 108312, 106145, 57469, 106608, 104376, 72819, 58598, 73266, 9446, 58520, 112866, 91595, 2786, 75091, 99580, 96027, 8079, 37467, 36669, 10596, 126231, 36621, 12037, 40176, 23435, 24462, 89002, 105136, 125368, 56016, 117111, 42699, 90459, 80251, 103704, 21089, 48657, 70867, 90029, 50510, 26252, 122730, 13386, 122590, 66612, 9861, 12086, 15722, 125636, 92065, 7006, 43514, 54718, 38883, 46636, 13565, 68136, 96520, 20781, 106656, 63325, 21503, 115256, 91823, 15571, 104455, 56639, 44664, 81076, 82654, 12043, 93463, 102289, 34255, 116363, 123607, 37150, 64825, 42057, 49888, 40928, 91952, 15708, 11445, 24967, 61610, 116760, 91181, 116631, 111537, 33059, 59168, 91701, 30290, 63565, 35345, 31559, 103965, 40424, 37321, 80222, 81268, 58018, 91355, 127970, 86544, 116993, 86754, 98860, 24227, 3999, 16226, 25699, 33200, 52794, 118615, 69905, 25024, 88146, 47081, 121224, 64113, 6705, 44086, 35235, 112259, 21858, 105823, 76509, 77477, 22795, 99451, 9225, 105056, 50740, 12454, 104002, 112886, 98573, 57804, 77204, 23743, 23168, 119125, 124595, 75121, 121259, 101482, 2575, 62672, 91162, 116392, 10682, 98504, 123595, 82683, 124691, 61854, 103509, 124589, 32981, 74244, 15346, 122875, 70401, 35203, 88066, 70079, 86139, 97459, 31750, 59758, 17988, 638, 90066, 21916, 90329, 109040, 27176, 55963, 26608, 47362, 102210, 41017, 39107, 94433, 65778, 62152, 87023, 70866, 124014, 17392, 8018, 97623, 4775, 111887, 121627, 7589, 10706, 26639, 115466, 89105, 60697, 90754, 121700, 12345, 684, 92727, 46960, 93703, 108054, 123050, 85618, 73611, 82241, 4192, 34322, 108266, 32961, 96682, 89221, 61115, 45033, 47305, 51937, 58920, 126241, 71326, 3480, 120812, 22984, 78532, 10252, 92497, 37045, 24450, 89518, 88090, 40625, 33343, 72979, 98699, 66849, 60809, 114944, 56595, 90827, 114030, 97403, 617, 94924, 20301, 17879, 100709, 57875, 63260, 44421, 39454, 88005, 58602, 26460, 29655, 57671, 24481, 79708, 65575, 82199, 67308, 59525, 56848, 76983, 28620, 125145, 17267, 69541, 20628, 95959, 79820, 110943, 17057, 115590, 17878, 3606, 65142, 55407, 75507, 6552, 118579, 46583, 89244, 100658, 55063, 58732, 70026, 60618, 42990, 48692, 92068, 21618, 50907, 20010, 67057, 16787, 12563, 19961, 119630, 30615, 44782, 109004, 5945, 83397, 113332, 104668, 92082, 110810, 37582, 12908, 85429, 9153, 94259, 3044, 62939, 84408, 17220, 122842, 5078, 64629, 15190, 48997, 44171, 97292, 114485, 122641, 69297, 16966, 95082, 76047, 112282, 105336, 14365, 46589, 30582, 18840, 125829, 31554, 17738, 100012, 101963, 68762, 71384, 45408, 113391, 27640, 92455, 119501, 127378, 97412, 124124, 29245, 23203, 43332, 119470, 10656, 65229, 23029, 5848, 73261, 58908, 22154, 6047, 76732, 41264, 126507, 94947, 31981, 1805, 6491, 114890, 60453, 32012, 108574, 59266, 103513, 47756, 31868, 121884, 23837, 99934, 40382, 38387, 44593, 31060, 18715, 24443, 65637, 58200, 5768, 81274, 19602, 68944, 15411, 45320, 6231, 55829, 125644, 11928, 96362, 81867, 85646, 30657, 18156, 47518, 74139, 127114, 7140, 62992, 88002, 33079, 123346, 122774, 62492, 75082, 24071, 108720, 39056, 59743, 111906, 16572, 30801, 27964, 42482, 124300, 94710, 78722, 33904, 33963, 42028, 113980, 110948, 109320, 46663, 97269, 119711, 98765, 110204, 66579, 83448, 9431, 38337, 56730, 100243, 104235, 64394, 100658, 19080, 92550, 21291, 73221, 82642, 123387, 118648, 87387, 117288, 111279, 120961, 80991, 45425, 45096, 101781, 112436, 12158, 83712, 40853, 125460, 117444, 80736, 3852, 37423, 99894, 108012, 42637, 122969, 488, 10162, 64164, 84329, 65723, 76836, 91352, 90403, 106809, 80239, 71304, 88944, 52443, 45104, 23208, 28688, 91809, 100985, 66941, 65285, 92182, 17681, 357, 75928, 91043, 56018, 119047, 78124, 95549, 64545, 1387, 40641, 78570, 79648, 127656, 44319, 101676, 9015, 3262, 70047, 81856, 64284, 22030, 113275, 6766, 44478, 95476, 93300, 41957, 20066, 80056, 22636, 119657, 113182, 10241, 23313, 104351, 90062, 55391, 76331, 119355, 115619, 5478, 43475, 104741, 31696, 39819, 88036, 17637, 10801, 41056, 53588, 36406, 45541, 66824, 39627, 82933, 101204, 6152, 33710, 59865, 94475, 13449, 63234, 94264, 12682, 78646, 53124, 93971, 96450, 121207, 11274, 66555, 25951, 22823, 91981, 20615, 48750, 15672, 7335, 119121, 98645, 111443, 45609, 21621, 27558, 18126, 27189, 66282, 23842, 42213, 41152, 65083, 79245, 34120, 88300, 2482, 67578, 117998, 4032, 44569, 81611, 2262, 59450, 83649, 90586, 99584, 110360, 36036, 105634, 73716, 114530, 45308, 107874, 127156, 41484, 127116, 66051, 101030, 53310, 115003, 125454, 109495, 86032, 78170, 49596, 9247, 60559, 120139, 50567, 127155, 53724, 75077, 73580, 54314, 67840, 53564, 82122, 22334, 127053, 92575, 58637, 37993, 37645, 116452, 103847, 110471, 34339, 76394, 86587, 68972, 86232, 118711, 3493, 63771, 1194, 85877, 127225, 101505, 120041, 110420, 92379, 78527, 39459, 38569, 36577, 3977, 71682, 89285, 106910, 1469, 37536, 25860, 30614, 101262, 10920, 95841, 27036, 80887, 65493, 78372, 86072, 127075, 37117, 56799, 47473, 56858, 48370, 41036, 22466, 107129, 13697, 57681, 642, 80110, 37840, 12225, 117441, 110792, 118554, 71048, 125826, 51559, 48682, 27386, 3786, 41843, 79456, 61163, 13411, 43787, 5720, 89128, 12339, 79, 19385, 54657, 38216, 6248, 90988, 24558, 114942, 39890, 58701, 70993, 6587, 2969, 117865, 117402, 25549, 24137, 35409, 9121, 33635, 25929, 125241, 28520, 126301, 61916, 46477, 44681, 36825, 109261, 40737, 17177, 13535, 95009, 60707, 81116, 36641, 12511, 114623, 7164, 68204, 91989, 1737, 93650, 89658, 79553, 115201, 627, 4447, 35966, 23054, 58780, 5102, 55150, 65812, 62032, 155, 35063, 61697, 28725, 71258, 102149, 19724, 10032, 64621, 25896, 118986, 78574, 55450, 3609, 121849, 81114, 71092, 72562, 15791, 44408, 71666, 66512, 107162, 21793, 9798, 31583, 8805, 88772, 87665, 22861, 99845, 106843, 62526, 62090, 103014, 37709, 27785, 31856, 97652, 65143, 8726, 57828, 76630, 85778, 29897, 72068, 75797, 76964, 62326, 97711, 12660, 55557, 71531, 54998, 86821, 47911, 102857, 118240, 121842, 2782, 65490, 122075, 120989, 67853, 71877, 115347, 93235, 982, 42480, 25054, 72660, 78972, 117788, 118094, 103238, 89313, 122264, 109468, 20090, 63780, 88841, 37050, 99379, 7900, 93589, 112763, 71727, 80281, 29146, 126429, 51632, 65091, 53512, 95222, 63028, 110931, 99334, 77480, 114595, 86755, 127786, 103005, 34291, 76453, 29690, 100041, 24933, 116348, 4628, 81948, 67359, 104684, 115972, 85047, 57012, 64685, 60903, 52434, 14558, 21309, 45504, 73338, 78025, 117331, 70795, 107957, 22235, 108079, 99014, 114161, 68664, 116332, 123725, 50059, 87933, 37273, 71588, 87221, 22212, 115626, 29121, 60754, 71679, 59792, 52713, 36639, 252, 58143, 23731, 30057, 45508, 48610, 112593, 51319, 47593, 67644, 58459, 7256, 119593, 126322, 33914, 27779, 29774, 76547, 8511, 49636, 59005, 3740, 34976, 1735, 13685, 120241, 18515, 118333, 58079, 48953, 100124, 16732, 98480, 56792, 97597, 50462, 47145, 82390, 107396, 18516, 3687, 51338, 2677, 21641, 81581, 110959, 10235, 77689, 55461, 38068, 76463, 40015, 55829, 113774 ]

[ 1105, 449, 25674, 80390, 54568, 389, 279, 7479, 1051, 5497, 291, 1701, 304, 68243, 34356, 32426, 320, 1341, 47, 8, 1880, 28075, 13, 1666, 279, 4447, 89, 4692, 4011, 315, 281, 10827, 220, 18, 34, 6354, 72, 34, 14117, 389, 26110, 848, 79173, 17140, 11, 682, 12095, 34, 22884, 1105, 315, 279, 3118, 990, 1051, 27210, 3235, 510, 5120, 60, 5216, 311, 35608, 279, 4447, 89, 4692, 380, 535, 2515, 13, 9479, 11, 279, 8162, 5569, 12095, 34, 22884, 1105, 1051, 1243, 6004, 505, 279, 12095, 54057, 1701, 9235, 1880, 28075, 320, 55, 68, 37, 6535, 17, 3, 570, 17830, 11, 12095, 34, 20622, 363, 556, 18893, 1051, 14454, 520, 279, 12541, 315, 279, 6004, 14497, 1701, 10968, 28772, 24310, 320, 37, 3336, 570, 9220, 4595, 315, 20622, 363, 556, 1358, 1051, 70554, 449, 2380, 20622, 363, 3946, 369, 1855, 1358, 13, 578, 5578, 2430, 315, 1855, 20622, 363, 556, 304, 1855, 955, 1051, 220, 13897, 26807, 323, 220, 17711, 26807, 11, 15947, 13, 19575, 1144, 1116, 90, 915, 25, 915, 18, 92, 5039, 279, 46544, 5448, 315, 279, 70554, 10688, 11, 2737, 279, 21349, 6004, 6070, 11, 2536, 5621, 4778, 20622, 363, 3946, 11, 323, 279, 51593, 26800, 33317, 501, 3125, 13, 73845, 59, 7413, 90, 18257, 44489, 83, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 18, 1809, 197, 59, 24232, 90, 84839, 2217, 315, 12095, 34, 26800, 26148, 13, 320, 64, 8, 45894, 12095, 34, 8162, 14497, 1511, 369, 279, 17876, 59251, 315, 279, 51593, 26800, 33317, 501, 3125, 26, 320, 65, 8, 46544, 315, 264, 8162, 12095, 34, 78736, 1405, 279, 12095, 34, 20622, 363, 3946, 1358, 1051, 14454, 1701, 435, 3336, 26, 320, 66, 8, 46544, 315, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 26, 320, 67, 8, 46544, 315, 24392, 70554, 12095, 34, 20622, 363, 3946, 6004, 505, 279, 12095, 54057, 320, 94725, 26800, 33317, 501, 3125, 570, 1809, 197, 59, 1530, 90, 915, 25, 915, 18, 1809, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 1809, 791, 1510, 22465, 320, 40, 20198, 8, 37033, 315, 682, 70554, 10688, 1051, 32971, 1701, 264, 12478, 220, 17448, 20, 1144, 1342, 48126, 21799, 4056, 16577, 55760, 13, 578, 13790, 5133, 1990, 279, 9435, 22465, 323, 17303, 1510, 11, 16717, 430, 1708, 1903, 264, 1695, 8840, 21914, 3729, 449, 279, 7701, 294, 16771, 12095, 34, 13957, 11, 23966, 13, 1144, 1116, 90, 915, 25, 3166, 7966, 23212, 11, 279, 20314, 98971, 315, 2225, 20622, 363, 3946, 323, 8162, 4124, 13240, 505, 279, 358, 20198, 16029, 323, 279, 15696, 315, 279, 22884, 1105, 5039, 4661, 279, 1890, 907, 13, 1115, 16717, 430, 279, 435, 3336, 1920, 1550, 539, 5353, 264, 5199, 7479, 5674, 311, 279, 70554, 20622, 363, 3946, 13, 6557, 4574, 59, 7413, 90, 18257, 44489, 65, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 19, 1809, 197, 197, 73759, 8920, 20597, 16, 13, 20, 336, 1809, 197, 59, 24232, 90, 5520, 22465, 37033, 315, 279, 70554, 12095, 34, 22884, 1105, 13, 1809, 197, 59, 1530, 90, 915, 25, 3166, 92, 81923, 59, 408, 90, 18257, 2634, 791, 58218, 9526, 574, 1511, 311, 70755, 279, 4447, 89, 4692, 380, 535, 2515, 304, 8162, 1404, 12095, 34, 22884, 1105, 323, 24392, 70554, 12095, 34, 20622, 363, 556, 1358, 13, 763, 420, 9526, 832, 842, 315, 279, 12095, 16869, 458, 424, 320, 4291, 264, 26839, 315, 220, 15894, 59060, 15479, 54616, 11, 323, 264, 2430, 315, 220, 22, 9653, 8, 574, 8521, 1418, 279, 1023, 842, 574, 711, 2258, 555, 19486, 2204, 8603, 13, 578, 6138, 505, 279, 70554, 20622, 363, 3946, 311, 279, 1949, 842, 315, 279, 12095, 16869, 458, 424, 574, 13489, 220, 1774, 9653, 13, 578, 26800, 36572, 1139, 279, 12095, 54057, 374, 59060, 85, 548, 60992, 57114, 1342, 90, 2008, 92, 284, 36608, 14, 17, 79882, 55976, 1405, 400, 44, 3, 374, 279, 9435, 58218, 4545, 26, 323, 400, 83, 55976, 400, 36, 3, 323, 400, 40, 3, 527, 279, 26839, 11, 13566, 596, 75124, 323, 279, 4545, 315, 78552, 315, 279, 12095, 16869, 458, 424, 11, 15947, 13, 578, 2077, 315, 279, 12095, 34, 13957, 311, 9435, 26800, 574, 1243, 17303, 1701, 264, 2814, 26402, 320, 9219, 69514, 1144, 1342, 48126, 21799, 220, 17451, 1721, 362, 4390, 319, 59, 7413, 90, 18257, 44489, 71, 0, 6242, 197, 59, 3133, 287, 319, 197, 59, 1012, 32785, 58, 3175, 28, 18, 258, 15731, 30035, 20, 86505, 1809, 197, 197, 73759, 8920, 20597, 16, 13, 20, 336, 1809, 197, 59, 24232, 90, 82430, 3135, 13, 320, 64, 8, 362, 7809, 1854, 1990, 279, 8844, 13957, 2349, 304, 279, 51593, 26800, 33317, 501, 12099, 11, 2536, 6004, 20622, 363, 3946, 323, 6004, 8162, 14418, 26, 320, 65, 8, 578, 6351, 2143, 1429, 315, 279, 12095, 34, 20622, 363, 3946, 26800, 26148, 35988, 279, 11223, 6070, 13, 1809, 197, 59, 1530, 90, 915, 25, 7842, 49, 1809, 298, 197, 73759, 8920, 20597, 16, 336, 1809, 59, 408, 90, 18257, 92, 4574, 791, 8844, 13957, 2349, 1746, 59, 20892, 432, 19945, 3, 8, 315, 279, 8162, 323, 51593, 12095, 34, 22884, 1105, 574, 68683, 2403, 279, 26800, 36572, 1139, 279, 12095, 54057, 59060, 85, 548, 60992, 15511, 2008, 32816, 11, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 26628, 64, 570, 1789, 682, 70554, 10688, 11, 279, 8844, 13957, 2349, 5039, 264, 1695, 13790, 5133, 449, 279, 9435, 26800, 1746, 59, 85, 548, 60992, 15511, 2008, 32816, 570, 763, 5369, 11, 449, 279, 1890, 9435, 26800, 311, 279, 12095, 54057, 11, 279, 13957, 2349, 315, 279, 12095, 34, 20622, 363, 3946, 1701, 279, 51593, 26800, 33317, 501, 3125, 574, 1790, 8294, 1109, 430, 315, 279, 279, 12095, 34, 8162, 78736, 323, 279, 21349, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 13, 763, 5369, 11, 18189, 279, 2430, 315, 279, 12095, 34, 20622, 363, 3946, 1101, 19543, 304, 279, 5376, 315, 279, 27541, 13, 578, 26703, 315, 279, 4447, 89, 4692, 380, 535, 2515, 304, 279, 51593, 26800, 33317, 501, 3125, 439, 1664, 439, 21349, 14726, 1051, 1243, 10484, 275, 8046, 26126, 3196, 389, 279, 7524, 31990, 8331, 1746, 37432, 15511, 6581, 32816, 705, 902, 374, 4613, 439, 279, 11595, 315, 279, 8844, 13957, 2349, 311, 279, 9435, 26800, 311, 279, 54057, 25, 400, 37432, 15511, 6581, 92, 284, 20374, 20892, 432, 19945, 5738, 59, 85, 548, 60992, 15511, 2008, 92, 13244, 63909, 11, 279, 7524, 31990, 8331, 315, 279, 6004, 8162, 12095, 34, 574, 1766, 311, 387, 220, 1591, 11, 1418, 430, 315, 279, 2536, 5621, 4778, 12095, 34, 20622, 363, 3946, 574, 220, 1758, 13, 5659, 279, 828, 6982, 304, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 2186, 279, 7524, 31990, 8331, 315, 279, 220, 13897, 26807, 323, 220, 17711, 26807, 12095, 34, 20622, 363, 3946, 304, 279, 51593, 26800, 33317, 501, 3125, 1051, 16997, 439, 220, 3965, 323, 220, 8874, 11, 15947, 13, 14636, 369, 20622, 363, 556, 18893, 449, 5578, 65511, 315, 220, 13897, 26807, 323, 220, 17711, 26807, 11, 279, 27541, 315, 279, 51593, 26800, 33317, 501, 3125, 574, 220, 20, 13, 19, 3115, 323, 220, 19, 13, 21, 3115, 8294, 1109, 279, 20155, 12095, 34, 11, 15947, 13, 4314, 3135, 1051, 13263, 449, 44064, 323, 35876, 4211, 10666, 3485, 13, 578, 8844, 13957, 2349, 315, 279, 51593, 26800, 33317, 501, 3125, 1101, 8710, 9250, 1584, 10981, 449, 279, 9435, 26800, 11, 449, 264, 13790, 31649, 315, 3485, 220, 1484, 59, 14697, 24226, 791, 13957, 2349, 315, 279, 51593, 26800, 33317, 501, 3125, 649, 1101, 387, 16489, 1139, 22465, 17738, 1701, 264, 56738, 11046, 14497, 11, 23966, 13, 1144, 1116, 90, 915, 25, 7842, 49, 26628, 65, 570, 578, 2612, 22465, 315, 279, 51593, 26800, 33317, 501, 3125, 12992, 449, 7859, 22781, 458, 42400, 505, 220, 15, 64697, 311, 220, 5245, 64697, 11, 323, 6052, 311, 279, 2926, 907, 994, 279, 26800, 574, 6724, 7108, 11, 50096, 264, 1695, 6351, 2143, 1429, 1306, 3892, 26800, 36572, 25492, 13, 578, 1584, 10981, 315, 279, 8844, 13957, 2349, 11, 323, 279, 6351, 2143, 1429, 13519, 430, 279, 11223, 6070, 374, 26455, 369, 26800, 60199, 8522, 3304, 6557, 644, 17102, 11, 420, 990, 18911, 264, 11775, 22936, 5603, 311, 6994, 7701, 16614, 4447, 89, 4692, 4011, 304, 20622, 363, 3946, 3196, 389, 264, 51593, 26800, 33317, 501, 3125, 13, 578, 1401, 8331, 315, 279, 51593, 26800, 33317, 501, 3125, 15812, 389, 20622, 363, 3946, 24392, 70554, 389, 264, 6004, 8162, 6070, 13, 57708, 7978, 1051, 13375, 389, 12095, 34, 20622, 363, 3946, 11, 50096, 430, 555, 35988, 1057, 51593, 26800, 33317, 501, 3125, 11, 279, 27541, 315, 12095, 34, 20622, 363, 3946, 574, 220, 20, 13, 19, 3115, 8294, 1109, 430, 315, 21349, 14726, 13, 1115, 1121, 16717, 430, 279, 51593, 26800, 33317, 501, 3125, 374, 459, 9250, 5452, 369, 24955, 16614, 26800, 60199, 8522, 13, 257, 8731, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256, 128256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101196, 108631, 3887, 100147, 104767, 36712, 8754, 40085, 49587, 73459, 22971, 95680, 74379, 88619, 38730, 84830, 19933, 76959, 84828, 117880, 125007, 23730, 110075, 22206, 42263, 96468, 23848, 126952, 91985, 122541, 49072, 105206, 31414, 87258, 83269, 5407, 82392, 81053, 80535, 75365, 68911, 47106, 124441, 51914, 38361, 71544, 38591, 603, 46733, 78647, 107392, 111443, 122606, 64940, 114813, 24338, 21688, 17295, 93485, 110940, 60990, 44664, 89868, 28919, 126497, 3397, 96289, 51691, 74950, 91395, 1307, 97391, 89883, 4504, 109545, 24715, 120323, 75650, 29000, 56008, 120542, 69964, 41821, 117885, 66370, 63583, 59206, 63396, 35037, 14583, 34267, 13965, 55569, 58550, 75314, 90114, 117587, 42470, 58816, 100646, 110604, 60573, 59066, 20623, 29171, 6111, 83899, 111108, 44157, 31520, 91515, 31610, 18331, 59504, 40932, 86484, 4708, 69957, 24896, 63436, 66636, 115418, 70772, 23370, 52658, 109453, 79122, 8042, 1551, 34906, 81522, 120148, 62760, 70691, 59523, 59858, 99682, 103338, 116432, 111004, 91234, 74278, 49769, 69762, 118495, 102688, 45347, 60091, 117061, 49234, 70006, 16311, 80948, 53799, 76346, 115189, 7874, 64105, 75922, 73335, 104291, 85060, 34725, 74191, 21036, 6355, 44370, 48474, 26391, 7097, 76212, 76422, 19863, 116987, 76764, 100260, 1027, 83133, 110540, 6487, 97367, 10317, 122520, 44196, 48651, 47244, 43828, 71327, 41695, 22054, 6631, 126742, 51124, 52175, 36852, 90975, 7607, 18480, 121103, 108445, 51724, 120417, 102289, 123516, 104342, 22307, 34989, 10073, 60276, 12667, 5371, 19573, 39539, 18398, 29904, 120206, 91506, 108471, 55601, 65850, 53956, 24887, 47517, 20312, 34563, 29809, 27310, 126474, 22593, 2931, 104165, 73429, 86764, 86994, 22078, 69783, 114749, 39038, 99360, 85197, 112610, 56881, 89218, 52382, 123095, 98768, 18138, 111428, 83903, 71485, 34833, 72068, 48757, 121505, 87338, 39395, 13256, 92475, 87091, 92960, 87623, 105054, 65104, 47394, 65262, 92081, 2570, 96076, 13722, 44664, 86477, 43215, 91478, 83517, 59627, 38897, 18400, 37557, 61632, 79546, 18510, 48637, 36614, 8252, 20500, 76610, 79509, 23770, 40331, 93275, 51645, 60469, 89730, 126570, 61512, 19225, 17447, 103931, 28643, 10743, 124303, 20531, 90180, 102157, 79775, 56669, 62584, 45939, 107284, 16071, 39263, 67477, 26524, 3274, 117567, 59734, 121939, 64671, 58140, 107712, 85121, 93499, 48809, 116307, 76434, 102543, 75419, 43119, 75209, 10509, 117019, 49136, 111685, 47517, 73749, 71109, 1048, 28831, 69740, 117979, 2835, 122161, 32494, 87739, 65541, 4763, 22147, 63845, 47809, 5746, 92866, 31915, 114766, 90916, 8487, 78890, 122997, 44249, 100058, 98440, 50605, 112230, 61472, 76220, 117183, 98626, 856, 88131, 89586, 118315, 55493, 106756, 86090, 106241, 49343, 56314, 85768, 32806, 94894, 118416, 87404, 58742, 105728, 50320, 47356, 20581, 76928, 14449, 87243, 42960, 9973, 27982, 54308, 31715, 107418, 92752, 104263, 1547, 118992, 39627, 12892, 81774, 72095, 28598, 67777, 9636, 10969, 35126, 20676, 85642, 53069, 109540, 108331, 77061, 61692, 117909, 42102, 22207, 119750, 115203, 26380, 58033, 52279, 40501, 18847, 57854, 124292, 103419, 34750, 17919, 32740, 117138, 60336, 11000, 11609, 47311, 94398, 108869, 10768, 98256, 120457, 109332, 13089, 6638, 51980, 75741, 47642, 33736, 13052, 90595, 45560, 94856, 120970, 19830, 61318, 4562, 38937, 35210, 7036, 91151, 67078, 96731, 18409, 107285, 93904, 51586, 109442, 94981, 28121, 123444, 29207, 20150, 14453, 84272, 9124, 24767, 74633, 127303, 120516, 78354, 88974, 10053, 82147, 39650, 15343, 68358, 47238, 72638, 62673, 5902, 99318, 45255, 57214, 109613, 10671, 1234, 21197, 22159, 36273, 11122, 6852, 57773, 127284, 108389, 34863, 115585, 16570, 14492, 1699, 45919, 77381, 49777, 123899, 48129, 103113, 13961, 54704, 90940, 67911, 1289, 115472, 121948, 45435, 29113, 119630, 60883, 41452, 52630, 38231, 55570, 17443, 113678, 82884, 98324, 28876, 119431, 20986, 125323, 31646, 100239, 20552, 102069, 15789, 111813, 23132, 76665, 76017, 46005, 46903, 141, 111553, 18288, 117854, 24150, 70287, 20008, 123495, 89268, 98221, 119669, 90437, 114549, 105331, 17482, 112488, 100646, 85278, 109372, 19767, 27033, 105281, 82458, 42305, 86167, 122261, 8280, 34993, 79068, 116698, 5391, 97446, 33605, 87241, 85746, 27349, 115363, 62526, 87633, 113960, 108450, 68651, 91521, 28800, 108035, 121518, 114868, 66375, 54640, 60127, 123848, 93357, 19692, 21517, 3748, 35825, 64220, 62809, 14650, 74203, 94701, 21298, 79655, 73033, 14793, 34561, 23378, 31283, 24723, 34524, 86402, 113867, 73169, 18244, 9009, 33810, 83944, 71728, 81284, 91369, 44334, 85004, 17239, 27107, 124002, 64693, 125785, 53420, 46419, 25504, 34384, 34730, 96823, 55961, 13848, 91455, 68510, 93324, 66713, 89248, 124057, 93194, 35244, 45151, 114793, 19592, 121028, 118193, 7562, 81737, 59044, 42639, 70633, 82178, 69791, 46219, 83223, 18066, 108126, 21409, 60977, 24265, 28371, 46883, 3167, 85877, 28337, 45952, 109623, 94165, 83255, 84641, 112154, 94719, 58300, 33245, 38005, 127500, 37027, 114510, 114149, 18356, 52192, 59016, 102512, 32622, 104592, 3052, 20347, 126670, 76149, 124980, 97086, 50389, 88725, 115172, 117530, 26629, 1837, 1943, 64778, 91759, 23176, 8675, 39872, 79158, 66996, 56858, 44665, 96355, 19198, 112616, 59483, 27063, 29533, 122398, 60504, 81641, 34613, 56839, 84226, 66577, 86810, 48485, 51370, 19420, 38485, 122280, 21996, 63444, 71673, 72984, 14572, 121020, 80869, 5933, 91463, 78377, 27397, 54675, 58943, 19977, 74244, 19132, 11426, 95670, 63817, 127394, 59827, 111160, 124994, 124964, 34009, 125904, 38419, 17703, 101059, 125322, 5716, 86688, 17687, 16128, 43755, 125454, 27900, 63659, 68642, 87298, 85573, 88836, 35393, 50738, 10329, 113179, 68341, 35567, 110377, 123289, 51366, 46844, 50672, 7799, 38763, 59810, 33262, 66687, 123797, 16139, 96754, 79011, 15352, 14500, 36119, 17856, 19663, 81971, 39458, 94576, 97539, 63127, 34230, 100602, 52233, 17647, 106051, 3454, 52810, 20058, 25666, 119115, 125882, 87122, 41312, 75031, 114007, 15297, 119240, 113862, 58220, 41737, 17815, 4331, 68561, 17974, 101709, 102097, 2203, 16227, 108555, 15239, 998, 17975, 63588, 48518, 97965, 112736, 64047, 103205, 97578, 110838, 50773, 33607, 68327, 25851, 47780, 77821, 42208, 51605, 70615, 107792, 33096, 13544, 104751, 72541, 53972, 48760, 58096, 2498, 79065, 80997, 30681, 62093, 6130, 50492, 30239, 115453, 81021, 48146, 106754, 75197, 22567, 87047, 112282, 86933, 4658, 86421, 110273, 20402, 7457, 91781, 109348, 66360, 1081, 123347, 95045, 55727, 116957, 18113, 78400, 29620, 21549, 66842, 59893, 47830, 125981, 55616, 20555, 117415, 74835, 123947, 96353, 7752, 30929, 114788, 27002, 72434, 126458, 8545, 63949, 77841, 115370, 87173, 43700, 4127, 75683, 91628, 89277, 85240, 120225, 105088, 94518, 85763, 6555, 90123, 98544, 100566, 99312, 125225, 116619, 52685, 102315, 59116, 20512, 7395, 126009, 68581, 95297, 106811, 60483, 81557, 104075, 8247, 92972, 11800, 45056, 11964, 123111, 61348, 3078, 100666, 26302, 113959, 119084, 60343, 107235, 78779, 77119, 124656, 36899, 47223, 64509, 78099, 41253, 19024, 89230, 69957, 4950, 103711, 100961, 50523, 31118, 46748, 988, 7870, 75563, 3963, 90278, 103485, 89619, 91500, 104124, 13477, 100805, 24648, 108217, 9994, 84027, 85337, 51581, 101204, 1473, 83134, 91312, 39582, 93608, 46389, 28093, 74615, 61848, 100344, 61557, 38745, 82826, 40876, 117217, 90888, 21482, 24359, 116038, 28459, 106581, 71255, 14026, 18211, 32476, 66436, 30420, 10446, 53893, 123924, 114778, 49243, 83443, 49293, 99549, 93771, 125767, 84776, 31856, 33055, 25704, 124399, 42169, 76520, 28896, 80156, 69590, 81302, 72367, 69523, 74152, 68033, 45163, 7803, 36931, 21132, 105782, 50354, 1090, 33789, 76567, 5452, 45388, 82119, 65583, 120485, 94898, 84164, 88324, 83293, 42715, 65189, 95630, 276, 78731, 81011, 107804, 31619, 89205, 32733, 1497, 103770, 87985, 114877, 80960, 77968, 113915, 47658, 113657, 82581, 78883, 43355, 99675, 36578, 125107, 50017, 98726, 16174, 54483, 69039, 6647, 15573, 40137, 40553, 72279, 94896, 13960, 116961, 26484, 16882, 58947, 12047, 107743, 90450, 42364, 45707, 12413, 37558, 58863, 12797, 65768, 86899, 4338, 111981, 127458, 697, 79683, 87035, 7396, 54378, 67917, 91450, 76064, 101663, 101788, 94611, 30789, 90004, 48014, 64698, 59409, 4699, 50892, 110867, 50410, 81310, 89232, 59580, 807, 69717, 11048, 18641, 52426, 39121, 32960, 20338, 21802, 94953, 66312, 60632, 102750, 36931, 59803, 66156, 69491, 98588, 18765, 44474, 21605, 117310, 120540, 126705, 60216, 46885, 127061, 120578, 126226, 90250, 122333, 127419, 64432, 10629, 52980, 30210, 123445, 80211, 100754, 21640, 90830, 99288, 6203, 2024, 4572, 52635, 32516, 124455, 40194, 91267, 42472, 114266, 8456, 90428, 6136, 74170, 55658, 55556, 17261, 101488, 32222, 41559, 121636, 6624, 9403, 75746, 101228, 75052, 84631, 83632, 10598, 44659, 91613, 83257, 81679, 91538, 121888, 24335, 43506, 118958, 121502, 116239, 93169, 21417, 60220, 43001, 105947, 82649, 82830, 4678, 100153, 85113, 86760, 101933, 50152, 16816, 6288, 38054, 108145, 104765, 16859, 57025, 78763, 5951, 8685, 17252, 123492, 65690, 30123, 32025, 74952, 42425, 21456, 3085, 82016, 64480, 935, 51648, 24045, 62066, 71852, 117485, 77405, 10703, 124269, 120249, 31866, 104493, 80425, 80440, 52314, 85110, 91109, 92443, 119028, 88665, 51271, 12022, 85239, 95167, 110801, 14740, 98789, 81027, 53110, 5192, 116883, 13094, 519, 49358, 104657, 87743, 13637, 57605, 92200, 1874, 114326, 98906, 113425, 77962, 123725, 86135, 56029, 15239, 30768, 106209, 69691, 124559, 106741, 33653, 127820, 82883, 95030, 45607, 50768, 23465, 93541, 35765, 119836, 6698, 121275, 82787, 42001, 29243, 82426, 41605, 65550, 56411, 95036, 27912, 27600, 56545, 27856, 23821, 58668, 22815, 14198, 78565, 115505, 57656, 123558, 62367, 44769, 102781, 83190, 97798, 9591, 20157, 56226, 49917, 119605, 122908, 48620, 126787, 5555, 107887, 5001, 94672, 12960, 44552, 120863, 85130, 6097, 26600, 38156, 45955, 25601, 80554, 29757, 16162, 1268, 18027, 32109, 50308, 70448, 11853, 56962, 111322, 32135, 48819, 88421, 38225, 111838, 11046, 63669, 112536, 80343, 8877, 126068, 126021, 553, 84103, 68138, 21222, 47390, 69445, 29010, 6558, 46458, 62493, 119347, 105718, 94444, 9296, 121464, 90981, 6381, 11026, 13663, 122771, 115033, 876, 114785, 3641, 97625, 38499, 120096, 27816, 52246, 101565, 10727, 24658, 3108, 74559, 111033, 58758, 96939, 35029, 44571, 27280, 70913, 82063, 84575, 98080, 77418, 28455, 123557, 72773, 16544, 85347, 105099, 107989, 101465, 30600, 123819, 84371, 14862, 20405, 109684, 96453, 114990, 80800, 53181, 72734, 101518, 119730, 70974, 36843, 77551, 73072, 55230, 96658, 117193, 8636, 29320, 49385, 125556, 80634, 121099, 99054, 98721, 88, 87754, 84157, 72118, 108808, 102591, 125890, 69138, 68103, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]

[ 128000, 59, 2879, 90, 38255, 11281, 1530, 90, 37542, 633, 59828, 706, 264, 16188, 3560, 304, 46620, 279, 15740, 315, 66017, 345, 20322, 1202, 1046, 2171, 290, 389, 311, 11191, 15104, 7217, 11, 28015, 323, 17876, 198, 33721, 6427, 315, 6917, 18488, 11, 311, 279, 52605, 315, 14560, 46058, 788, 198, 7323, 2212, 2307, 11191, 3776, 20349, 13, 36007, 287, 1268, 279, 198, 47692, 1614, 315, 6962, 304, 66017, 4442, 439, 264, 734, 315, 2579, 13724, 374, 198, 19041, 1348, 16996, 311, 8830, 1268, 1521, 11618, 38680, 927, 198, 9594, 76, 5848, 892, 13, 578, 5410, 1646, 315, 279, 342, 521, 788, 958, 78393, 198, 27178, 320, 47905, 8, 304, 66017, 41095, 264, 30945, 750, 78628, 481, 11298, 198, 11781, 68175, 3223, 9, 90, 1915, 25, 5162, 24, 5525, 315, 29050, 1746, 77, 1144, 15124, 220, 1041, 59836, 11, 6358, 3, 88310, 18, 32816, 8, 9439, 198, 60668, 11298, 320, 29768, 44, 8, 14726, 11, 449, 71423, 20472, 315, 400, 51, 15511, 59, 8892, 198, 220, 597, 92, 1144, 15124, 220, 1041, 59836, 11, 42, 11, 23711, 2949, 264, 4827, 89131, 1746, 77, 1144, 15124, 198, 16, 59836, 11, 6358, 3, 88310, 18, 32816, 8, 8369, 21277, 11298, 320, 38019, 44, 8, 449, 400, 51, 15511, 59, 8892, 597, 92, 1144, 15124, 198, 605, 48922, 19, 32816, 59, 11, 42, 13, 578, 468, 38425, 53765, 279, 9439, 6962, 323, 374, 304, 2543, 28772, 1534, 555, 198, 6884, 55801, 45220, 323, 8579, 1630, 82817, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 96534, 556, 25, 2550, 20, 345, 220, 26296, 556, 25, 1049, 18, 17041, 362, 4726, 4106, 1746, 51, 15511, 59, 8892, 597, 92, 1144, 15124, 220, 605, 48922, 21, 32816, 59, 11, 42, 8, 28772, 1534, 198, 8739, 574, 11784, 1139, 279, 1646, 555, 1144, 68175, 90, 26353, 42, 2176, 25, 4468, 22, 2186, 311, 198, 4711, 369, 24494, 555, 39887, 12949, 32505, 68260, 2949, 279, 958, 60297, 198, 27178, 13, 763, 279, 2254, 29849, 11, 420, 49340, 706, 7946, 198, 4291, 52784, 11026, 315, 90380, 36752, 11, 8051, 1070, 374, 1063, 198, 68, 28580, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 1548, 3742, 25, 1049, 18, 65, 11308, 1144, 68175, 3223, 9, 90, 80262, 25, 679, 18, 65, 2499, 59, 68175, 3223, 90, 44, 24648, 25, 679, 20, 5525, 430, 264, 5199, 19983, 315, 279, 468, 38425, 1253, 198, 29675, 520, 20472, 4827, 1109, 3685, 369, 3728, 4787, 315, 198, 267, 2968, 11, 23537, 5217, 18003, 950, 11618, 311, 10519, 2254, 198, 700, 76, 61002, 56411, 382, 12834, 25524, 35784, 20374, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 8, 374, 832, 315, 279, 1455, 44611, 198, 5260, 315, 279, 21277, 3507, 44, 323, 31368, 11388, 481, 1555, 3060, 198, 1820, 220, 1691, 59, 11, 6358, 477, 16333, 1543, 59060, 7288, 3, 5238, 11, 433, 374, 3629, 1511, 439, 264, 65406, 315, 198, 1820, 3544, 13230, 8141, 323, 7106, 1614, 315, 21277, 6962, 304, 198, 16876, 58088, 13, 578, 220, 1691, 59, 11, 6358, 1584, 706, 7946, 1027, 20011, 304, 10795, 287, 198, 1820, 21277, 3507, 44, 304, 279, 89819, 12424, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 26353, 5176, 554, 12, 6600, 3168, 411, 82, 25, 1049, 24, 28112, 24648, 25, 679, 20, 39942, 279, 8949, 5856, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 49436, 25, 1049, 18, 8324, 54410, 25, 1049, 20, 8324, 969, 359, 25, 1049, 24, 11, 6600, 266, 1291, 25, 679, 15, 5525, 323, 198, 10516, 32698, 13724, 29849, 320, 4151, 1144, 68175, 3223, 90, 38, 822, 16023, 21148, 25, 679, 21, 92, 369, 264, 198, 19981, 570, 4452, 11, 7953, 400, 89, 1144, 15124, 220, 15, 13, 19, 3, 20374, 68175, 3223, 90, 37, 944, 38322, 25, 679, 21, 3602, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 41353, 505, 3927, 66017, 9221, 2288, 38678, 198, 998, 387, 11388, 481, 555, 1510, 220, 1691, 59, 11, 6358, 32313, 323, 779, 584, 2011, 17631, 389, 198, 3518, 66181, 2403, 7937, 2915, 10107, 4092, 9063, 320, 1691, 59, 11, 6358, 8, 477, 30136, 198, 5063, 88, 1543, 22104, 59, 7288, 3, 8, 86901, 8336, 311, 22477, 279, 56754, 5848, 15740, 198, 1073, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 13, 578, 20155, 315, 21277, 6962, 374, 13282, 304, 198, 12156, 26005, 89131, 294, 33298, 16333, 1543, 22104, 59, 7288, 3, 15938, 1941, 320, 16931, 2170, 11, 400, 45, 15511, 59, 8892, 34511, 534, 59, 713, 80, 220, 17, 1144, 15487, 220, 605, 48922, 508, 32816, 59, 11, 6358, 3, 88310, 17, 32816, 26, 1518, 1144, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 20, 92, 369, 264, 198, 19981, 705, 902, 520, 400, 89, 1144, 70, 376, 15124, 220, 16, 13, 22, 3, 527, 11388, 481, 304, 279, 29393, 198, 68182, 969, 315, 934, 300, 1590, 13, 19241, 315, 34075, 2170, 3493, 6029, 430, 279, 25524, 198, 40625, 304, 279, 29827, 29849, 8111, 311, 387, 13263, 449, 264, 198, 27364, 82710, 21277, 3507, 44, 4528, 311, 430, 3970, 304, 279, 8949, 5856, 198, 2069, 1326, 13, 1144, 68175, 3223, 9, 90, 99598, 25, 1049, 15, 11308, 1144, 68175, 3223, 9, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 2499, 59, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 18, 65, 17041, 4452, 11, 1070, 374, 1063, 23851, 304, 279, 9439, 198, 438, 8369, 65995, 17303, 6957, 279, 423, 18326, 7187, 198, 2069, 1326, 13, 1144, 68175, 3223, 9, 90, 4438, 74, 25, 1049, 20, 11308, 1144, 68175, 3223, 90, 50, 7414, 438, 25, 1049, 20, 11, 63658, 1215, 25, 1049, 23, 2499, 59, 68175, 3223, 9, 90, 41, 1813, 34237, 25, 679, 15, 11308, 1144, 68175, 3223, 90, 79928, 9336, 25, 679, 16, 11, 36231, 9336, 25, 679, 17, 345, 220, 31663, 1247, 277, 25, 679, 19, 64, 11308, 1144, 68175, 3223, 9, 90, 34, 86558, 25, 679, 20, 11308, 1144, 68175, 3223, 9, 90, 45, 2176, 273, 1543, 25, 679, 20, 92, 3677, 791, 220, 1691, 1824, 76, 12903, 9499, 3611, 2311, 603, 459, 3062, 1584, 8838, 21430, 17795, 304, 198, 359, 114348, 287, 279, 7106, 1614, 315, 1579, 32698, 13724, 25524, 6962, 13, 1115, 198, 13832, 374, 16614, 311, 279, 11618, 430, 3521, 635, 279, 5015, 21395, 315, 198, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 304, 279, 3507, 44, 198, 11781, 68175, 3223, 90, 47, 324, 5997, 25, 6280, 21, 11, 1915, 25, 6280, 23, 11, 1915, 25, 6280, 24, 65, 8324, 1494, 6797, 25, 5162, 24, 5525, 323, 198, 19041, 1348, 80330, 279, 11388, 2968, 315, 279, 220, 1691, 59, 11, 6358, 1584, 304, 44225, 627, 644, 279, 25914, 44, 279, 12903, 9499, 374, 27800, 555, 19277, 278, 3521, 7709, 198, 438, 779, 374, 16625, 311, 279, 71423, 9499, 11, 1418, 279, 4827, 90816, 198, 258, 279, 468, 38425, 3152, 430, 279, 220, 1691, 59, 11, 6358, 9320, 374, 539, 29487, 1534, 555, 198, 17666, 6948, 1990, 279, 35784, 33299, 11, 323, 779, 6685, 10397, 84247, 555, 279, 198, 6884, 16333, 59060, 7288, 3, 25407, 2115, 9221, 3062, 13, 53123, 198, 1820, 12903, 9499, 304, 279, 468, 38425, 374, 4827, 1109, 279, 71423, 9499, 345, 258, 279, 2134, 59060, 15124, 3, 1041, 15, 1198, 220, 2636, 15, 59, 11, 42, 11911, 389, 279, 3330, 17915, 323, 198, 4174, 315, 7447, 82710, 6956, 20374, 68175, 3223, 90, 43, 285, 11949, 25, 1049, 16, 17041, 13516, 18007, 345, 1820, 12903, 9499, 17303, 505, 264, 3254, 18468, 315, 11741, 69212, 24045, 198, 3518, 66181, 374, 6273, 311, 279, 82341, 3152, 315, 279, 12903, 9499, 304, 198, 55977, 6962, 6956, 11, 37924, 555, 872, 3330, 90816, 11, 28592, 198, 782, 1325, 287, 264, 1749, 315, 4225, 14782, 279, 25914, 44, 19983, 304, 1579, 32698, 13724, 198, 46654, 382, 23912, 50369, 369, 220, 1691, 59, 11, 6358, 44225, 304, 3967, 2579, 13724, 291, 34075, 2170, 617, 1027, 1511, 198, 998, 25291, 6767, 279, 3330, 17915, 323, 12903, 9499, 315, 198, 59, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 320, 4151, 1144, 68175, 3223, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 323, 15407, 198, 19041, 258, 570, 2684, 374, 1063, 6029, 369, 459, 5376, 320, 266, 400, 19, 59, 27362, 25956, 26101, 7908, 100104, 8, 304, 279, 12903, 9499, 315, 34075, 2170, 520, 2579, 13724, 82, 3485, 400, 89, 4125, 17, 13, 19, 55976, 323, 264, 6811, 320, 266, 400, 21, 59, 27362, 25956, 3, 26431, 8, 1990, 279, 198, 82816, 315, 12903, 20472, 304, 34075, 2170, 323, 279, 89819, 12424, 198, 11781, 68175, 3223, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 17041, 578, 61636, 430, 520, 3325, 220, 1954, 59, 11, 716, 59, 11, 1189, 198, 1073, 1579, 32698, 13724, 34075, 2170, 1253, 617, 25914, 44, 65995, 12207, 2753, 1109, 198, 9210, 17303, 369, 279, 89819, 12424, 706, 3062, 16296, 369, 279, 198, 383, 1113, 323, 28015, 315, 21277, 6962, 304, 279, 4216, 29849, 323, 6917, 198, 1659, 320, 68, 1326, 13, 1144, 68175, 3223, 9, 90, 54, 337, 1897, 25, 1049, 18, 64, 17041, 4452, 11, 1521, 17550, 198, 71484, 17631, 389, 279, 7347, 18539, 315, 58632, 220, 1691, 59, 11, 6358, 198, 438, 29393, 14, 23042, 828, 369, 279, 34075, 2170, 323, 22204, 4279, 2786, 1990, 279, 198, 6361, 17915, 463, 2788, 555, 279, 29393, 323, 9063, 14254, 84463, 13, 578, 1176, 198, 11407, 649, 387, 23075, 555, 18899, 279, 6205, 13443, 1555, 198, 27995, 261, 220, 1691, 59, 11, 6358, 1584, 32313, 315, 1579, 32698, 13724, 34075, 2170, 11, 719, 279, 15629, 198, 42475, 18637, 311, 1057, 38152, 323, 8830, 315, 279, 6962, 198, 82816, 304, 1521, 6067, 13, 2684, 527, 1101, 10742, 922, 279, 198, 33829, 311, 902, 279, 19983, 315, 279, 2592, 6070, 42129, 2954, 555, 198, 1820, 15938, 655, 649, 387, 17303, 304, 1855, 1887, 11, 902, 649, 1193, 387, 198, 40847, 1555, 66425, 58510, 1633, 1317, 26954, 41305, 7133, 198, 12692, 43, 8768, 570, 1102, 706, 1027, 12090, 430, 279, 13468, 15740, 304, 12903, 198, 35658, 1436, 387, 48761, 555, 32946, 922, 279, 9063, 31874, 198, 93013, 8331, 20374, 68175, 3223, 90, 17119, 6713, 25, 1049, 20, 5525, 323, 1202, 17432, 439, 264, 198, 1723, 315, 2579, 13724, 20374, 68175, 3223, 90, 17119, 6713, 25, 1049, 21, 65, 11, 13182, 6713, 25, 679, 17, 65, 92, 3677, 644, 420, 5684, 584, 2980, 459, 5603, 1701, 279, 29564, 22295, 198, 263, 279, 5578, 12903, 9499, 89253, 449, 3938, 3544, 220, 1691, 59, 11, 6358, 198, 20370, 50369, 1701, 71261, 78513, 19031, 311, 279, 15992, 38988, 4512, 265, 2982, 198, 3844, 27542, 570, 1115, 690, 7431, 9678, 23751, 315, 279, 15740, 304, 198, 42682, 9499, 520, 1579, 2579, 13724, 323, 3493, 264, 1749, 315, 21630, 279, 198, 9951, 6012, 315, 21277, 6962, 3770, 400, 89, 1144, 49153, 220, 16, 13, 22, 55976, 1405, 279, 198, 48412, 1543, 59, 4884, 59, 7288, 3, 1584, 374, 82828, 1701, 5015, 6108, 9466, 38270, 627, 644, 459, 4216, 4879, 520, 264, 36297, 18507, 220, 1691, 59, 11, 6358, 44225, 10795, 345, 59, 68175, 90, 53773, 2785, 25, 679, 16, 92, 1511, 18178, 828, 505, 279, 362, 2827, 29946, 38987, 17737, 198, 32, 2827, 29946, 445, 68775, 29970, 2982, 320, 984, 37, 984, 3711, 8, 10795, 311, 6994, 8582, 13693, 389, 198, 1820, 3330, 17915, 11900, 8141, 505, 220, 1691, 59, 11, 6358, 44225, 520, 198, 10516, 2579, 13724, 1746, 89, 1144, 645, 784, 318, 220, 15, 13, 2705, 3, 570, 4452, 11, 814, 1101, 10555, 430, 279, 198, 4174, 315, 89727, 1436, 387, 1511, 311, 1304, 304, 5006, 922, 279, 11595, 198, 1073, 279, 12903, 9499, 311, 18702, 8331, 13, 17283, 5304, 420, 990, 345, 59, 68175, 90, 54, 84, 25, 679, 20, 92, 1766, 430, 872, 8582, 13693, 389, 279, 11900, 198, 82816, 734, 17303, 505, 279, 220, 1272, 59, 11, 716, 59, 11, 1189, 8927, 37, 984, 3711, 10795, 198, 2358, 59836, 7288, 3, 7966, 1272, 26, 1144, 68175, 3223, 90, 57564, 4978, 25, 679, 16, 5525, 1436, 1193, 387, 32545, 2230, 449, 198, 48899, 1392, 505, 1023, 3428, 32698, 13724, 220, 1691, 59, 11, 6358, 32313, 422, 279, 14595, 198, 42682, 9499, 311, 18702, 8331, 11595, 574, 7191, 1109, 220, 2636, 59, 11, 42, 13, 2468, 198, 90447, 2579, 13724, 82, 11, 1144, 68175, 90, 38, 7717, 64, 25, 1049, 24, 92 ]

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

[ 128000, 61024, 96117, 49354, 102773, 111158, 108371, 4226, 5738, 115110, 58674, 32776, 65427, 68755, 112923, 74986, 89291, 25965, 3112, 64202, 23024, 114102, 51779, 44098, 50438, 40286, 76430, 110271, 27320, 51119, 57475, 35797, 9133, 49202, 74540, 92491, 8999, 111603, 116309, 18674, 61668, 85485, 112237, 36264, 55592, 121151, 83861, 13390, 14145, 62506, 115909, 120764, 87856, 94630, 18707, 92688, 19426, 113674, 93641, 117300, 81775, 48487, 91974, 3988, 14422, 34686, 119621, 3430, 55084, 111552, 87019, 32898, 60845, 109259, 113799, 47333, 121860, 36348, 3979, 50714, 100499, 29678, 113792, 117324, 125547, 124311, 23863, 13381, 55501, 71489, 29824, 125790, 110718, 102963, 123175, 95811, 7319, 120292, 84036, 47410, 23346, 24448, 56880, 125713, 102470, 43298, 38797, 54861, 105244, 93393, 18541, 102820, 117978, 127813, 27066, 31610, 97832, 29299, 26052, 74585, 98375, 26723, 93773, 50758, 25606, 11783, 5957, 112223, 101392, 98968, 54739, 66874, 103244, 67439, 124575, 60286, 119298, 15766, 108786, 113315, 34986, 62207, 117225, 120338, 95519, 41401, 112495, 68936, 65694, 114908, 19410, 37552, 16964, 72192, 103743, 71912, 43827, 114105, 16476, 112354, 87251, 92454, 99664, 93695, 115377, 72491, 56264, 71600, 16412, 100719, 10204, 103692, 68340, 109227, 30487, 96346, 77026, 48781, 121441, 91241, 63662, 112903, 52292, 20739, 3032, 66101, 84026, 95352, 112233, 94423, 2510, 24992, 108423, 41476, 76024, 33805, 111727, 57152, 4507, 3904, 49840, 40986, 44954, 58844, 123524, 105011, 63934, 88998, 82924, 50302, 46516, 67208, 37157, 68795, 67040, 99379, 1359, 28164, 3885, 35129, 12443, 20520, 82370, 106391, 95026, 108061, 121570, 34720, 24234, 5230, 91065, 112829, 125453, 111292, 112931, 92138, 71603, 84947, 36448, 107437, 76077, 103050, 47851, 73725, 15031, 18411, 78907, 53071, 49460, 48615, 31461, 127750, 100561, 26678, 117916, 104860, 28039, 80710, 105140, 97449, 50583, 106609, 82361, 46311, 31019, 104326, 116733, 118795, 76845, 79613, 110446, 13039, 71537, 54451, 10011, 105517, 107551, 92354, 15563, 91069, 80971, 85249, 22947, 121913, 43680, 101908, 8960, 7969, 76606, 115402, 103921, 67893, 78303, 18554, 98846, 43983, 51040, 101563, 47677, 87232, 773, 56201, 123041, 56921, 78981, 72114, 52142, 111652, 104677, 116843, 19726, 64856, 68766, 43753, 75019, 100478, 25738, 87493, 63067, 3722, 67914, 2808, 49198, 22517, 64469, 24764, 29170, 84057, 15610, 65110, 42289, 125499, 98312, 34142, 43961, 89092, 60497, 88918, 116710, 15290, 107268, 17827, 28994, 562, 124604, 8100, 76758, 121497, 101942, 107312, 66092, 29923, 11997, 102082, 68211, 103739, 127638, 62536, 8996, 32531, 34050, 51363, 124585, 81165, 106265, 113982, 32775, 26993, 33166, 58322, 40600, 125940, 19999, 85604, 61885, 83448, 94576, 52468, 22660, 118700, 94811, 13860, 101675, 8307, 65073, 122696, 54068, 37741, 85084, 99874, 74166, 98186, 36877, 25693, 13031, 111399, 8060, 40050, 36685, 96303, 50494, 75275, 115422, 123851, 60977, 44708, 80684, 88828, 120168, 100766, 6763, 16281, 80530, 63615, 42250, 116712, 105578, 115062, 78253, 20123, 46492, 82505, 44295, 56159, 78714, 19560, 67574, 63674, 22967, 91292, 112521, 80085, 70682, 557, 66880, 4148, 104420, 52930, 110664, 63560, 33353, 83396, 37616, 39621, 110418, 125996, 102019, 54083, 28542, 105739, 107295, 86749, 52372, 76462, 77388, 17623, 28197, 11315, 51306, 102241, 52725, 48567, 31307, 120303, 72402, 81981, 45546, 43235, 41206, 39320, 100962, 42361, 19337, 79944, 42733, 108456, 82392, 51866, 36349, 52842, 54832, 31719, 32227, 3795, 126787, 24636, 83775, 113221, 127329, 77006, 120152, 127976, 111895, 80049, 8390, 117719, 97468, 113175, 29645, 9615, 81999, 16538, 83690, 99481, 125334, 38328, 62028, 34885, 115910, 40772, 76449, 86454, 4864, 93204, 85271, 48695, 33943, 93656, 82624, 107997, 18878, 26581, 65075, 127200, 41005, 31522, 25215, 56944, 44409, 50867, 81936, 36625, 63256, 89709, 108444, 51991, 123775, 42514, 16642, 66380, 102221, 80645, 58749, 71177, 71726, 48846, 102892, 86738, 107819, 26249, 5872, 27098, 47374, 28267, 64258, 77890, 108429, 20168, 13676, 73572, 91761, 118461, 95267, 49726, 108921, 118882, 5721, 96481, 85896, 27734, 44761, 44512, 61512, 69471, 18270, 74800, 53476, 41775, 41015, 18465, 98702, 96516, 66219, 25691, 24971, 21530, 91702, 62664, 42960, 89878, 96009, 11241, 100840, 125981, 18658, 9475, 17363, 96201, 35001, 39005, 47538, 37510, 25848, 90473, 86039, 68226, 83817, 107376, 121632, 72156, 4662, 99784, 125577, 75246, 12931, 24443, 32454, 103006, 110438, 81983, 53949, 125757, 88166, 90042, 13080, 76855, 116361, 60737, 99282, 127592, 3020, 21426, 77094, 98184, 68046, 40068, 31163, 26067, 72056, 120169, 94568, 78104, 120563, 75717, 71483, 77105, 24246, 12090, 70226, 33531, 121386, 55589, 82909, 25218, 92804, 41413, 52632, 112269, 108755, 98157, 17855, 123035, 106218, 47651, 30588, 47146, 103746, 126110, 40208, 8399, 85206, 58013, 51618, 15439, 2138, 34745, 57043, 65627, 77097, 89238, 126330, 117559, 39667, 90867, 127515, 116350, 31170, 125439, 95710, 74106, 22441, 85008, 45213, 92224, 42584, 95335, 14202, 6342, 61785, 53578, 15839, 90717, 40106, 21687, 53759, 20583, 88996, 51254, 52492, 98730, 60542, 28380, 12791, 120584, 17364, 30278, 72830, 8841, 115100, 32878, 54083, 39667, 37124, 73966, 18541, 60586, 90240, 54260, 12608, 115886, 4589, 2528, 82537, 91480, 5819, 26001, 84245, 23208, 90549, 76546, 51675, 78760, 57471, 38051, 4610, 47579, 80204, 24577, 74601, 119008, 62357, 60316, 15294, 67757, 101295, 67678, 105030, 77231, 119909, 84567, 126087, 91367, 16714, 59584, 74525, 122421, 33251, 81949, 87455, 71060, 116177, 67028, 108361, 17144, 32092, 68120, 34504, 90473, 83987, 115493, 86025, 46519, 25273, 23914, 3711, 88905, 98976, 82385, 127612, 77175, 96650, 53440, 52845, 77598, 18331, 82824, 20119, 23346, 84742, 95399, 62854, 31069, 29309, 114949, 107512, 66302, 50845, 14376, 114409, 74651, 105174, 74738, 49322, 120934, 4601, 46784, 15797, 85279, 5775, 69093, 96942, 85283, 118113, 28885, 113345, 66199, 69345, 42889, 28443, 76564, 73812, 53245, 77576, 68039, 17218, 45051, 6601, 102273, 81534, 21408, 17662, 35208, 76123, 71930, 26309, 92533, 57749, 112553, 73756, 102303, 8463, 33738, 89735, 54964, 2284, 20284, 115287, 96896, 106214, 87021, 119646, 122905, 37518, 116715, 3488, 110236, 76727, 71257, 59815, 71983, 109231, 25874, 105509, 13692, 123206, 3531, 7237, 108080, 31128, 99064, 42438, 40292, 31481, 42771, 107862, 104552, 89020, 26615, 89484, 26750, 14501, 106098, 7294, 37048, 37440, 60096, 16415, 5101, 11332, 26783, 116266, 120427, 28959, 79791, 111922, 59341, 8973, 124653, 46609, 97649, 86695, 15839, 109614, 103272, 41303, 12759, 14817, 109836, 46944, 23524, 108499, 24728, 21060, 125952, 46453, 84244, 33758, 21412, 110017, 57397, 42479, 39796, 56115, 103611, 18291, 11425, 72336, 52381, 35629, 10292, 106781, 34296, 120995, 52280, 2062, 93341, 41041, 20, 26120, 96298, 92179, 42687, 29418, 16351, 46411, 12718, 122586, 43396, 121763, 43758, 30234, 71921, 117056, 72271, 105746, 30828, 4327, 16444, 95511, 127437, 77473, 117273, 82739, 25605, 77089, 95868, 86472, 2630, 19494, 20634, 5593, 97141, 24787, 19033, 9204, 78143, 120733, 24174, 111972, 88506, 8801, 53463, 21694, 111150, 28291, 92166, 6964, 87158, 123644, 45339, 88929, 22437, 127373, 59811, 54191, 31523, 78012, 12561, 99854, 67561, 13402, 73560, 31094, 124494, 125816, 45215, 100692, 78009, 108706, 91205, 51237, 91812, 71481, 103469, 26447, 100009, 42006, 12543, 114988, 105451, 4101, 35240, 33918, 107650, 80342, 86707, 109551, 103226, 112939, 6615, 61166, 94276, 115059, 80300, 79635, 7323, 30617, 11986, 93037, 117388, 122208, 81205, 91298, 45780, 94241, 79262, 108422, 10924, 54402, 86242, 23654, 85468, 77457, 110071, 45276, 69739, 5698, 27762, 50073, 97375, 54887, 80636, 102717, 69809, 92912, 64577, 36842, 85568, 70802, 16252, 47598, 54384, 65886, 39189, 107771, 91187, 46276, 16398, 45130, 6989, 39146, 3077, 65755, 116177, 68925, 41042, 51358, 26176, 120950, 125889, 125927, 104409, 64803, 4662, 43478, 112509, 40313, 124368, 45995, 61992, 109305, 69433, 12717, 100042, 34598, 53783, 95014, 27457, 25086, 10352, 48649, 105362, 62058, 23422, 56278, 42934, 58393, 42721, 44095, 78483, 10524, 77741, 31952, 4377, 85882, 69569, 94965, 112014, 31410, 20518, 99867, 111629, 44064, 87439, 52310, 27144, 84796, 65463, 51937, 43475, 66110, 25433, 43239, 98538, 3861, 48394, 35937, 125286, 955, 84360, 121566, 4223, 10473, 80583, 25504, 109693, 103756, 23158, 31397, 34027, 46010, 100351, 14192, 87738, 82982, 9474, 45898, 62072, 88447, 31944, 99974, 100213, 55326, 86247, 94941, 89220, 10665, 28430, 63631, 67153, 49197, 19020, 108765, 24595, 24634, 94815, 83482, 123959, 28851, 100220, 20374, 28691, 86894, 46, 127718, 113908, 92958, 122818, 51041, 122734, 80518, 125884, 3221, 21769, 15407, 48625, 9558, 21398, 110420, 70543, 107970, 26559, 46076, 84702, 93322, 73830, 117723, 77769, 3329, 82016, 2341, 17109, 29012, 76481, 75331, 1326, 113195, 123279, 102758, 55773, 21642, 7309, 12888, 110978, 81026, 81076, 18061, 106903, 24968, 17679, 101865, 36069, 75116, 105854, 79317, 81059, 70895, 53405, 42204, 111627, 18283, 25202, 1176, 31402, 84307, 21119, 127540, 29249, 58734, 65721, 110711, 100508, 27175, 120908, 27771, 55444, 76727, 121765, 35614, 36304, 92764, 32757, 100758, 11655, 37395, 1010, 117359, 14268, 105675, 124295, 69754, 63405, 25043, 71496, 29381, 3312, 74959, 20417, 14412, 126422, 123186, 84139, 22376, 47551, 8093, 15516, 36423, 35849, 76317, 20667, 118661, 80517, 54541, 99494, 74637, 102786, 77833, 276, 117824, 118272, 69159, 30639, 117449, 34342, 75260, 43035, 90912, 82182, 120565, 68346, 62877, 73709, 30452, 71151, 115850, 50569, 104012, 102924, 6038, 38326, 30490, 8767, 64037, 48507, 120603, 74387, 4288, 65610, 30032, 67878, 101592, 79025, 123707, 4924, 56012, 1998, 118059, 113272, 104149, 74040, 26215, 75395, 124284, 8951, 38389, 85154, 108845, 21237, 106488, 43685, 19184, 32161, 51055, 88370, 47640, 59066, 60149, 94993, 110548, 45379, 96599, 74517, 65946, 116587, 102749, 105307, 97156, 50340, 72786, 35588, 6395, 64266, 12980, 96464, 40115, 111255, 72217, 121325, 74284, 12120, 23261, 95560, 118825, 69713, 49538, 70000, 110381, 79907, 112710, 25581, 91451, 116243, 57498, 39157, 104443, 103051, 64348, 40013, 4479, 127338, 33951, 17766, 106045, 100377, 21831, 124085, 94664, 32798, 3659, 26609, 11719, 46225, 86278, 31897, 75864, 3257, 125773, 74384, 15035, 8594, 7000, 60699, 85673, 94751, 86132, 76214, 71229, 16495, 15815, 3955, 62478, 102991, 13317, 23349, 11514, 46787, 44316, 125826, 98727, 39231, 96989, 53364, 98094, 42878, 82642, 5740, 15666, 51449, 16838, 108570, 17030, 119414, 1330, 62443, 118740, 15910, 27056, 39676, 72672, 89528, 84798, 91399, 84986, 90211, 43552, 1989, 84058, 57308, 60274, 89073, 11447, 34055, 65890, 122668, 39938, 77447, 110028, 103202, 49411, 127365, 70477, 4941, 86102, 26321, 2126, 109761, 34888, 37211, 40954, 3998, 38768, 77526, 100530, 57266, 96797, 43766, 119158, 67655, 82271, 96241, 74052, 106505, 106280, 125001, 76728, 22796, 106306, 78432, 106931, 57937, 105665, 97570, 82812, 47191, 35261, 100391, 49742, 26882, 8114, 16914, 58188, 79449, 79645, 61442, 48544, 90915, 102954, 17650, 2762, 124624, 82927, 112684, 113967, 8546, 60707, 15936, 75154, 44672, 76713, 113402, 26940, 117877, 53522, 122417, 12702, 56114, 502, 61887, 106060, 99577, 111515, 115039, 84251, 62546, 39448, 21556, 40781, 111994, 108043, 87657, 113996, 97612, 19238, 119838, 7988, 54050, 72399, 64495, 4243, 93152, 202, 103395, 121193, 116937, 26167, 97568, 108147, 66980, 59689, 101138, 101427, 51505, 79054, 102912, 32437, 37434, 82360, 8858, 5494, 46715, 103280, 109735, 120158, 40066, 17850, 41545, 39796, 83204, 122178, 54871, 22807, 73191, 2883, 23581, 48044, 82847, 119564, 68219, 51093, 104538, 8361, 78211, 11215, 109708, 104856, 41115, 11527, 104294, 16818, 119185, 92206, 125039, 41130, 49533, 2597, 46987, 43243, 9086, 36455, 46157, 79586, 61324, 92972, 52055, 53932, 46697, 74157, 84391, 126523, 58738, 7457, 55684, 44543, 58198, 40791, 13424, 66897, 6004, 122944, 109528, 81809, 72093, 70411, 96634, 84241, 90710, 44085, 56381, 105520, 63312, 11938, 75598, 92330, 112453, 47920, 52688, 99403, 24075, 99844, 126268, 122183, 116552, 57232, 12774, 95696, 98916, 106871, 101703, 60289, 13352, 96182, 20184, 66990, 95780, 55102, 85979, 17128, 24931, 56311, 5914, 639, 74506, 112768, 76154, 117412, 26748, 8079, 105032, 80173, 41696, 63645, 26095, 15893, 110834, 62018, 44131, 79775, 65212, 46137, 40857, 98902, 64076, 28933, 10190, 83578, 113469, 104553, 100767, 7017, 77499, 1494, 84269, 113472, 90838, 26571, 64738, 119561, 51199, 78945, 74566, 121830, 69329, 127882, 110731, 13167, 35370, 114872, 72579, 84957, 54570, 34093, 33232, 121412, 111714, 14449, 31555, 48850, 37096, 13186, 54296, 10917, 34151, 25713, 18178, 42316, 51286, 90475, 11974, 120360, 72035, 206, 121917, 101022, 37900, 92353, 99466, 63386, 55895, 117577, 87137, 41832, 107713, 23106, 62700, 90350, 106036, 32899, 96485, 59282, 113107, 10298, 10370, 18912, 115018, 49658, 49994, 61399, 81365, 107591, 27197, 48174, 13879, 21911, 94365, 39021, 54300, 52355, 111967, 115626, 53643, 87375, 125441, 28931, 61876, 35500, 102532, 79405, 33285, 69253, 55024, 103416, 70949, 117233, 86157, 76817, 17974, 113647, 52062, 75468, 55896, 56543, 102710, 38090, 63603, 42396, 56986, 30991, 20145, 112923, 10227, 51156, 64443, 14005, 66767, 62601, 78681, 33030, 53599, 14688, 107142, 90919, 104461, 127619, 53910, 87201, 108424, 85586, 72840, 41251, 103042, 40662, 21557, 55463, 97351, 74582, 120935, 38086, 62143, 51380, 39954, 73893, 70282, 121162, 85672, 84148, 16943, 24325, 97921, 110258, 43615, 20634, 85796, 91132, 20474, 10626, 116867, 80766, 117229, 110286, 50369, 22364, 61235, 39655, 123519, 81016, 127468, 111332, 115375, 57715, 34172, 56365, 74965, 61456, 11684, 117835, 101428, 34399, 2166, 34917, 90281, 36922, 12383, 28911, 113906, 74639, 54458, 108636, 30031, 114812, 114019, 37354, 115823, 38425, 56570, 24253, 8600, 21518, 33922, 126573, 76222, 79445, 77458, 42913, 38431, 78192, 90593, 59808, 73035, 115286, 120504, 112056, 80629, 70675, 20596, 25031, 32693, 47943, 11249, 65870, 50736, 118229, 115549, 127017, 43199, 9405, 105349, 29395, 127963, 90953, 71981, 53202, 78741, 28341, 61583, 2356, 116255, 42542, 112270, 77590, 696, 100371, 126619, 100198, 52205, 96386, 55717, 56964, 124763, 113047, 21865, 6129, 121762, 48417, 27783, 74262, 111195, 83426, 108154, 141, 44469, 5237, 29729, 107942, 117172, 1772, 108141, 111846, 59360, 127513, 16716, 62194, 55319, 92497, 19281, 119642, 99959, 12179, 124039, 81181, 50792, 44386, 74401, 51258, 97080, 3273, 28552, 67972, 112870, 66085, 80485, 29851, 56551, 28964, 3935, 114375, 98615, 62191, 106266, 126156, 32693, 8705, 43412, 34280, 68312, 111600, 39769, 116483, 10803 ]

[ 1766, 430, 279, 1396, 17915, 315, 198, 1691, 59, 11, 6358, 15938, 1941, 304, 3967, 1144, 76, 2054, 90, 44, 70, 59, 28937, 59, 2445, 14799, 3500, 15938, 1941, 9922, 311, 198, 451, 20542, 449, 2579, 13724, 3485, 400, 89, 1144, 15124, 220, 16, 55976, 13263, 449, 264, 14278, 198, 258, 279, 25914, 44, 19983, 13, 1226, 23564, 420, 4623, 4726, 555, 24834, 198, 49864, 3938, 7029, 19677, 220, 1691, 59, 11, 6358, 32313, 649, 387, 1511, 311, 6767, 279, 198, 17645, 12903, 9499, 304, 29827, 66017, 430, 527, 9257, 304, 25524, 198, 40625, 382, 59, 2879, 90, 791, 3685, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 220, 15938, 1941, 11281, 1530, 90, 2879, 25, 7475, 5617, 633, 1687, 16430, 279, 3685, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 46654, 7119, 264, 6205, 315, 4092, 9063, 8336, 555, 38663, 279, 198, 44018, 26154, 927, 682, 14254, 84463, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 7475, 5617, 534, 220, 1144, 15479, 284, 220, 1144, 72, 396, 90, 69, 8368, 15511, 59, 8892, 34511, 2186, 55, 10929, 27362, 92650, 90, 67, 92, 55, 59, 27362, 92650, 90, 67, 92, 45, 15511, 59, 8892, 34511, 39254, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 1630, 15437, 374, 279, 11900, 8141, 439, 264, 734, 198, 1073, 3330, 17915, 1746, 45, 15511, 59, 8892, 34511, 32816, 8, 323, 470, 9308, 1853, 3160, 1746, 55, 3, 570, 1226, 198, 817, 279, 3135, 315, 3293, 32313, 369, 220, 1691, 59, 11, 6358, 41353, 304, 14373, 198, 16876, 58088, 320, 68, 1326, 13, 1144, 68175, 3223, 90, 57, 10196, 276, 25, 1049, 20, 5525, 323, 1579, 32698, 13724, 16333, 1543, 22104, 59, 7288, 26101, 3518, 66181, 304, 279, 94193, 39069, 1588, 15064, 24507, 320, 5608, 1242, 280, 68, 1326, 13, 1144, 68175, 3223, 9, 90, 1360, 331, 17309, 25, 1049, 20, 11308, 1144, 68175, 3223, 90, 2688, 261, 3315, 3981, 25, 1049, 24, 39942, 902, 1501, 198, 9210, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 1630, 15437, 649, 387, 1719, 17820, 1534, 555, 264, 22350, 734, 315, 279, 198, 630, 198, 59, 7413, 90, 26378, 367, 534, 220, 282, 8368, 15511, 59, 8892, 34511, 2186, 1630, 8, 284, 1144, 2414, 2358, 69, 15511, 59, 561, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 10929, 2414, 2358, 45, 15511, 59, 8892, 34511, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 30876, 20597, 59, 19674, 11281, 4683, 36802, 2414, 4172, 90, 45, 15511, 59, 8892, 34511, 92, 1144, 2017, 452, 15511, 59, 561, 3500, 59, 1315, 9317, 59, 27362, 92650, 90, 6358, 92, 48922, 17, 1613, 59, 408, 90, 26378, 367, 534, 2940, 400, 69, 15511, 59, 561, 92, 284, 220, 15, 13, 18089, 18, 55976, 59060, 848, 15511, 605, 26628, 45, 15511, 59, 561, 5525, 284, 220, 1691, 13, 17, 3, 323, 59060, 19674, 4125, 16, 13, 1187, 3, 520, 400, 89, 284, 220, 15, 3, 20374, 68175, 3223, 90, 57, 10196, 276, 25, 1049, 20, 39942, 323, 400, 69, 15511, 59, 561, 92, 284, 220, 15, 13, 21040, 19, 3, 345, 59836, 848, 15511, 605, 26628, 45, 15511, 59, 561, 5525, 284, 220, 1691, 13, 1627, 3, 323, 59060, 19674, 284, 220, 16, 13, 1544, 3, 520, 400, 89, 1144, 49153, 220, 18, 26101, 11781, 68175, 3223, 90, 2688, 261, 3315, 3981, 25, 1049, 24, 17041, 6104, 279, 90380, 828, 656, 539, 3686, 198, 444, 78726, 4211, 369, 15740, 315, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 8141, 198, 266, 29539, 2579, 13724, 82, 1990, 400, 89, 1144, 15124, 220, 15, 13, 16, 3, 323, 198, 3, 18, 59836, 5447, 10179, 90, 33336, 1392, 315, 400, 69, 8368, 15511, 59, 8892, 34511, 2186, 55, 15437, 520, 29539, 198, 220, 2579, 13724, 82, 2586, 505, 17550, 24955, 8437, 32012, 32313, 315, 34075, 2170, 1701, 279, 198, 220, 1144, 336, 764, 90, 39, 14942, 11746, 87062, 92, 20374, 68175, 3223, 9, 90, 49, 3524, 25, 1049, 21, 2499, 220, 1144, 68175, 3223, 90, 45, 2176, 273, 1543, 25, 679, 21, 17041, 4452, 11, 4245, 311, 279, 7347, 6205, 12562, 198, 220, 1521, 527, 5131, 459, 2015, 8838, 1474, 35815, 2753, 16614, 1109, 279, 198, 220, 14373, 220, 1691, 1824, 76, 323, 1579, 32698, 13724, 29393, 16333, 1543, 22104, 59, 7288, 3, 32313, 13, 2186, 433, 198, 285, 3967, 311, 387, 1790, 43383, 1109, 279, 5199, 18174, 3970, 304, 279, 198, 9951, 6917, 12, 1659, 4478, 323, 31206, 6962, 927, 279, 1890, 16746, 198, 2069, 1326, 13, 1144, 68175, 3223, 90, 43, 81707, 25, 679, 19, 17041, 1226, 9093, 6920, 704, 264, 4382, 13790, 198, 2295, 45786, 1990, 279, 3428, 323, 1579, 2579, 13724, 40446, 311, 16430, 198, 42406, 8368, 15511, 59, 8892, 34511, 2186, 55, 15437, 439, 264, 734, 315, 2579, 13724, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 3175, 16416, 16378, 534, 59, 24232, 90, 791, 8141, 315, 220, 1691, 59, 11, 6358, 1584, 65511, 3196, 389, 6484, 198, 220, 89727, 315, 89501, 44225, 520, 400, 89, 871, 220, 15, 13, 16, 3, 320, 4151, 279, 1495, 369, 198, 220, 3649, 315, 420, 6205, 570, 578, 6205, 1404, 304, 1855, 9736, 374, 3453, 9437, 555, 198, 220, 279, 1396, 3485, 323, 1493, 25995, 79164, 279, 5410, 38664, 13, 220, 578, 198, 220, 6573, 2579, 1584, 374, 264, 1515, 53183, 5052, 311, 279, 828, 11, 505, 902, 584, 4128, 198, 220, 4288, 10688, 369, 1057, 6492, 13, 11281, 1530, 90, 18257, 25, 3175, 16416, 534, 59, 408, 90, 18257, 633, 791, 19463, 315, 54626, 459, 70275, 1887, 315, 2728, 3330, 198, 70918, 14117, 389, 279, 27541, 315, 279, 10795, 11, 279, 31405, 17915, 323, 198, 7993, 315, 279, 4092, 2592, 323, 279, 19983, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 198, 262, 602, 3500, 304, 279, 4827, 12903, 1614, 11, 2728, 555, 279, 12903, 9499, 13, 1226, 198, 14107, 279, 3330, 17915, 1746, 45, 15511, 59, 8892, 34511, 32816, 26, 304, 33299, 59, 11, 6358, 3, 88310, 17, 32816, 8, 304, 198, 18853, 315, 279, 29393, 8149, 1746, 59, 30243, 3, 8, 323, 12903, 9499, 1746, 51, 15511, 59, 8892, 198, 220, 12903, 32816, 26, 304, 735, 8, 555, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 6361, 54449, 534, 220, 452, 15511, 59, 8892, 34511, 92, 284, 220, 16, 13, 23848, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 92, 1144, 396, 36802, 30243, 3832, 10929, 92650, 90, 67, 92, 85, 1613, 59, 408, 90, 26378, 367, 534, 2940, 279, 26154, 374, 10887, 4028, 279, 57077, 1584, 304, 279, 1887, 198, 4014, 47867, 15798, 400, 85, 3, 320, 258, 13437, 59, 11, 82, 3, 88310, 16, 32816, 570, 1226, 1243, 3237, 279, 29393, 198, 18021, 304, 3878, 315, 279, 9466, 4893, 439, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 30243, 284, 482, 59, 2312, 59, 2414, 58, 16, 489, 29252, 20892, 90, 50, 11281, 2017, 272, 15511, 59, 8892, 282, 92, 50, 15511, 59, 8892, 687, 3500, 59, 1315, 1282, 59, 408, 90, 26378, 367, 534, 2940, 59060, 20892, 90, 50, 32816, 374, 279, 13468, 2349, 304, 31405, 17915, 4245, 311, 198, 3518, 66181, 11, 400, 50, 15511, 59, 8892, 687, 32816, 374, 279, 4092, 86901, 31405, 17915, 198, 438, 400, 66, 15511, 59, 8892, 282, 32816, 374, 279, 320, 61917, 9987, 8, 19983, 315, 4092, 31405, 198, 70918, 42129, 2954, 555, 279, 89501, 6962, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19988, 59, 1342, 3175, 15731, 57512, 34210, 16416, 16378, 534, 59, 24232, 90, 791, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 505, 198, 220, 279, 1925, 6205, 315, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 2186, 902, 1051, 13240, 1701, 198, 220, 279, 19983, 315, 2860, 86901, 31405, 17915, 304, 279, 934, 68038, 6332, 13, 578, 198, 220, 6205, 1404, 304, 1855, 9736, 374, 3453, 9437, 555, 279, 1396, 3485, 323, 1493, 25995, 198, 220, 79164, 279, 5410, 38664, 13, 578, 6573, 2579, 1584, 374, 279, 14113, 198, 220, 8141, 11, 505, 902, 584, 4128, 4288, 10688, 369, 1057, 198, 220, 6492, 13, 11281, 1530, 90, 18257, 49131, 869, 34210, 16416, 534, 59, 408, 90, 18257, 633, 1687, 9855, 430, 264, 3254, 89501, 1887, 649, 387, 7633, 555, 264, 198, 38, 48072, 15798, 8141, 315, 2539, 2430, 520, 4376, 7340, 320, 18723, 53248, 340, 30895, 1349, 1746, 59, 20892, 90, 85, 15511, 59, 8892, 220, 1135, 3500, 3, 8, 323, 16557, 29393, 8149, 1746, 59, 30243, 15511, 59, 8892, 198, 220, 16557, 32816, 705, 779, 430, 1144, 2784, 47852, 90, 26378, 367, 25, 6361, 54449, 92, 649, 387, 312, 67383, 198, 300, 198, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 6361, 54449, 1928, 48072, 534, 220, 452, 15511, 59, 8892, 34511, 92, 284, 220, 16, 13, 21322, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 11281, 27362, 30243, 15511, 59, 8892, 16557, 11281, 27362, 20892, 90, 85, 15511, 59, 8892, 220, 1135, 3500, 627, 59, 408, 90, 26378, 367, 534, 2746, 584, 4726, 9855, 430, 279, 81094, 57077, 12248, 374, 49668, 11, 449, 264, 198, 20885, 38664, 59060, 25956, 15511, 59, 8892, 27114, 32816, 824, 9678, 5613, 198, 59836, 20892, 90, 85, 15511, 59, 8892, 27114, 3500, 55976, 1243, 279, 220, 20, 59836, 25956, 3, 3330, 17915, 18468, 198, 9696, 374, 2728, 555, 198, 59, 7413, 90, 26378, 367, 534, 220, 452, 15511, 20, 59, 25956, 92, 1144, 49153, 220, 16, 13, 21322, 5061, 1769, 605, 48922, 972, 11281, 11, 51, 15511, 59, 8892, 12903, 11281, 27362, 30243, 15511, 59, 8892, 220, 20, 59, 25956, 11281, 27362, 20892, 90, 85, 15511, 59, 8892, 5804, 22825, 59, 408, 90, 26378, 367, 534, 2940, 720, 59, 7413, 90, 26378, 367, 11281, 1530, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 534, 220, 1144, 30243, 15511, 20, 59, 25956, 92, 1144, 49153, 482, 59, 2312, 59, 2414, 58, 16, 482, 314, 20, 59, 27362, 25956, 15511, 59, 8892, 27114, 11281, 2017, 272, 15511, 59, 8892, 282, 11281, 11, 50, 15511, 59, 8892, 687, 3500, 59, 27986, 36802, 20892, 90, 85, 52635, 59, 8892, 27114, 11281, 2017, 1144, 20892, 90, 85, 15511, 59, 8892, 5804, 3500, 11281, 1315, 1282, 59, 408, 90, 26378, 367, 534, 438, 59060, 20892, 90, 85, 15511, 59, 8892, 5804, 3500, 1144, 49153, 1144, 27986, 36802, 20892, 90, 85, 52635, 59, 8892, 27114, 92, 48922, 17, 92, 3694, 220, 1144, 20892, 90, 85, 52635, 1135, 92, 48922, 17, 3500, 55976, 902, 374, 279, 13468, 2430, 315, 279, 1584, 11, 2728, 198, 1729, 279, 56812, 315, 279, 7106, 15798, 8141, 323, 279, 198, 68182, 3545, 11175, 315, 279, 56925, 13, 1226, 1457, 84375, 59060, 15479, 3, 439, 279, 198, 7475, 1396, 315, 89501, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 89727, 304, 1057, 198, 48554, 439, 264, 734, 315, 279, 3330, 17915, 27541, 3235, 1855, 198, 82, 492, 8614, 1405, 1855, 470, 9308, 1853, 2449, 198, 59836, 20869, 90, 55, 26628, 89, 15437, 59, 5447, 10179, 90, 2520, 279, 10096, 315, 420, 990, 584, 11142, 264, 10269, 198, 220, 59060, 59366, 3, 9439, 6453, 5030, 56754, 2508, 449, 400, 39, 15511, 15, 32816, 4125, 220, 220, 2031, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 11, 59060, 78435, 57114, 92650, 90, 44, 32816, 284, 220, 15, 13, 18, 323, 59060, 78435, 15511, 59, 59366, 32816, 4125, 220, 220, 15, 13, 22, 13, 335, 220, 304, 279, 26154, 4613, 555, 198, 59, 2784, 47852, 90, 26378, 367, 25, 7475, 5617, 92, 374, 2728, 555, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 20869, 90, 55, 26628, 89, 11992, 720, 59, 7413, 90, 24857, 534, 220, 29252, 20869, 90, 89, 11281, 13247, 16, 94052, 30876, 90, 17, 11281, 2017, 1144, 27986, 97165, 16, 94052, 30876, 90, 17, 26628, 16, 94052, 59, 78435, 15511, 59, 8892, 198, 286, 386, 5525, 12, 89, 13476, 10, 17, 10929, 78435, 15511, 59, 8892, 1144, 59366, 3500, 2186 ]

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

[ 27962, 50217, 60679, 63132, 78041, 38990, 37804, 49741, 106518, 6192, 73973, 93193, 58888, 98917, 44530, 740, 63664, 11429, 12845, 112186, 69494, 114124, 58244, 12618, 54243, 124640, 90816, 18740, 63376, 93572, 15288, 82132, 2263, 7635, 110892, 121394, 20470, 25208, 123532, 96962, 101411, 4514, 20318, 43518, 88152, 77913, 96972, 39160, 88076, 22293, 81677, 77994, 51812, 83828, 77583, 99809, 50082, 49128, 81908, 46164, 122762, 27495, 110817, 116423, 71594, 111173, 23363, 30351, 13414, 35420, 30428, 72602, 126300, 108165, 111635, 96879, 3786, 363, 3029, 125003, 125763, 33260, 72461, 62473, 19418, 18838, 54910, 119236, 73840, 33243, 91148, 37387, 88568, 83571, 17845, 30480, 83298, 86892, 54955, 17754, 24654, 83365, 38136, 20747, 26560, 96257, 122788, 124831, 99397, 1631, 38920, 77034, 16032, 39067, 98305, 41786, 90612, 41322, 112468, 50354, 29468, 102058, 59974, 95705, 8979, 109241, 39795, 104980, 50376, 53590, 116983, 10220, 89899, 107325, 1235, 103651, 33453, 43294, 94381, 117040, 54242, 65284, 38679, 55025, 29903, 101144, 28376, 109291, 49926, 9822, 112604, 21829, 53479, 4743, 64805, 9702, 42576, 18667, 101658, 40009, 21914, 35426, 44616, 24497, 94650, 124781, 537, 68130, 93109, 64707, 54479, 96141, 71190, 70938, 89130, 71718, 110319, 31676, 49597, 43003, 76325, 62237, 104924, 49062, 12288, 44086, 43156, 83207, 60208, 120967, 22989, 121242, 104805, 18600, 99593, 12795, 61357, 59341, 34622, 27177, 112355, 57129, 86918, 87993, 111291, 127124, 121734, 36030, 16683, 39199, 67746, 92153, 88322, 116824, 71481, 41011, 78790, 10288, 35014, 76195, 51580, 38881, 7830, 101468, 76464, 65250, 75677, 88098, 124772, 127218, 83785, 26320, 26409, 13320, 30004, 74259, 114784, 72717, 99670, 79907, 28695, 80298, 70387, 117774, 87459, 88872, 111213, 102229, 117235, 4988, 111536, 83877, 31916, 23524, 44349, 55169, 83900, 45039, 27630, 92930, 13673, 104503, 69347, 103487, 91638, 92253, 84508, 89993, 54537, 86063, 71063, 21599, 35466, 48689, 28309, 36797, 121360, 123285, 127181, 40706, 88738, 102869, 29106, 57205, 95712, 100864, 45142, 102830, 64636, 43326, 12056, 66716, 59123, 54512, 114988, 42074, 36223, 3039, 35891, 58758, 18687, 22534, 92423, 54989, 33986, 33430, 76562, 12525, 127350, 81910, 81571, 85929, 102258, 8989, 26598, 122773, 107056, 28951, 50856, 36359, 33771, 77755, 90527, 26754, 124908, 16472, 61919, 116118, 45531, 99055, 62939, 123010, 90698, 127637, 10935, 84982, 111734, 126952, 62378, 9739, 111133, 15092, 124839, 74275, 90903, 21865, 127098, 26146, 113430, 29087, 120052, 71821, 23599, 7530, 75538, 33292, 12701, 13768, 29082, 31666, 76434, 121220, 9574, 127948, 106926, 102267, 38695, 75565, 91325, 120852, 126561, 107080, 78976, 8070, 75163, 15099, 40747, 66675, 84414, 50103, 75664, 64656, 29108, 19972, 73268, 59197, 20819, 35987, 127663, 16106, 108370, 62207, 76047, 119515, 80027, 14506, 54931, 44247, 111672, 1950, 17983, 94348, 10653, 33586, 85456, 54500, 85188, 84838, 42984, 62711, 97662, 67726, 4391, 119562, 123353, 81101, 56447, 75116, 24810, 34655, 90261, 46804, 114179, 106595, 64236, 56043, 15713, 9457, 29320, 10932, 71478, 51795, 120783, 38521, 93581, 45220, 100522, 8833, 24009, 45617, 121848, 42624, 9985, 75104, 96896, 90779, 120798, 37512, 102801, 44396, 118648, 22204, 17631, 109533, 90928, 70379, 24325, 106009, 51909, 115757, 60501, 119155, 120601, 121208, 55235, 41886, 110107, 17423, 54926, 113558, 67835, 48406, 77686, 121863, 23480, 65802, 18859, 54203, 112768, 60715, 75359, 113620, 57058, 44678, 66697, 33677, 1260, 81050, 12187, 28932, 42461, 62526, 80104, 114912, 70047, 39025, 27359, 49933, 83024, 79206, 109773, 30592, 95210, 60196, 103053, 68549, 126423, 71191, 65927, 59499, 61639, 65174, 80713, 109358, 117989, 96987, 119612, 114446, 116141, 127137, 65867, 31811, 33938, 91121, 92065, 84896, 833, 9874, 125272, 35213, 114009, 19522, 97105, 19125, 94723, 20924, 2958, 23673, 99390, 99123, 55309, 2898, 109375, 19926, 61804, 27752, 13315, 108526, 38271, 48758, 115622, 50847, 65959, 75129, 63864, 30157, 49879, 15319, 124576, 41615, 70425, 112433, 41150, 13075, 57864, 55470, 87781, 20237, 77115, 36936, 43800, 103909, 75256, 111148, 72893, 122133, 26915, 21503, 67088, 64903, 20426, 33610, 26993, 37143, 86216, 54783, 14216, 49795, 70141, 80980, 3106, 120894, 15187, 101301, 106883, 27243, 123336, 23003, 60458, 63258, 113241, 8426, 15745, 14048, 7018, 102465, 33668, 25299, 7767, 93057, 32641, 36844, 26713, 111504, 100917, 124429, 88876, 72814, 44496, 106700, 43840, 59241, 101607, 60581, 89438, 21069, 25946, 55324, 36736, 105338, 64371, 91911, 10469, 69260, 64124, 14010, 17311, 83024, 45606, 118993, 14474, 125018, 104609, 92961, 52484, 54796, 111436, 89115, 80961, 51400, 19341, 20333, 75662, 77262, 21104, 47107, 73734, 19728, 122970, 85096, 109544, 122202, 99562, 56255, 25384, 57516, 49172, 67681, 27081, 118580, 92486, 103553, 92710, 107138, 119721, 73526, 127222, 106972, 96181, 121929, 26996, 25165, 5804, 79109, 78544, 3938, 38510, 100304, 53865, 45413, 116951, 63965, 42684, 10853, 74259, 66183, 78145, 77326, 22316, 69608, 86897, 9122, 75245, 123261, 13400, 86529, 98163, 127, 94502, 52648, 90949, 72899, 88093, 57983, 105105, 63685, 67886, 35729, 45335, 86734, 134, 124392, 102151, 96920, 72289, 61290, 61445, 123019, 68943, 95336, 52662, 15628, 89631, 357, 51870, 111981, 47373, 99129, 37651, 113994, 94650, 55341, 106735, 4760, 52487, 62081, 64385, 34376, 62616, 106517, 66410, 110109, 33544, 50886, 112517, 56030, 89673, 71802, 51628, 114341, 12331, 44954, 77678, 14860, 60177, 83745, 126661, 60620, 93701, 6862, 61436, 113704, 22760, 34863, 77105, 19599, 31655, 48668, 64360, 45602, 43950, 66915, 106345, 36969, 36703, 53075, 20369, 57729, 119341, 67956, 107439, 70829, 122121, 122261, 119404, 40402, 19976, 21704, 73486, 99171, 46551, 87133, 58258, 100616, 42180, 172, 81905, 109852, 113476, 19874, 56226, 108993, 2052, 75277, 89993, 98091, 47475, 67409, 99810, 30299, 33967, 45547, 39911, 70564, 23314, 74239, 71445, 12405, 78694, 81588, 23685, 84015, 56074, 41465, 30221, 36583, 5495, 113907, 57852, 71751, 62272, 123220, 9079, 21114, 94691, 19383, 60808, 123635, 6276, 66205, 60154, 1582, 80819, 14117, 37716, 126099, 30220, 97152, 61131, 107013, 27859, 30503, 37520, 65187, 82461, 14388, 19357, 802, 15318, 35239, 52033, 40660, 46236, 31102, 112477, 2271, 24771, 54868, 11453, 45088, 63355, 48108, 77288, 101545, 105511, 10252, 33835, 28985, 36522, 88226, 80869, 100216, 64129, 22426, 31253, 11307, 81213, 124836, 96832, 56954, 54706, 37961, 54259, 106382, 7394, 6434, 78346, 63225, 82333, 104113, 53320, 30976, 114038, 36461, 47201, 11275, 118144, 81946, 69345, 96545, 15192, 20944, 65956, 78622, 80595, 22430, 47283, 48173, 86446, 31933, 83967, 22633, 68695, 75346, 66927, 64645, 111493, 49786, 127782, 60419, 34611, 35519, 7767, 56470, 22634, 10232, 89728, 12798, 73275, 80752, 82576, 90524, 65850, 24132, 38367, 123175, 80493, 10785, 101736, 56385, 77317, 59657, 46189, 113986, 40236, 44414, 23737, 105803, 94622, 101162, 76189, 112305, 14338, 108858, 63759, 31977, 26605, 70528, 36206, 84978, 41313, 19475, 14734, 29427, 36268, 37690, 2081, 77280, 33700, 85554, 33222, 67680, 8604, 97580, 36283, 19969, 120551, 67990, 111983, 63668, 117946, 18442, 48098, 48003, 27212, 8300, 37480, 120516, 19721, 51067, 104829, 8953, 83377, 124659, 102325, 40142, 55374, 125182, 29484, 2184, 41158, 30336, 21262, 41039, 76249, 64803, 35628, 11518, 93048, 44292, 36700, 68778, 87977, 49853, 103706, 73853, 125760, 2436, 113714, 29161, 22082, 66664, 122044, 27955, 73877, 78912, 88699, 123534, 25539, 91636, 67931, 72305, 43417, 69056, 55236, 75755, 44484, 97629, 44904, 96413, 37952, 33085, 38604, 2527, 78215, 74816, 99109, 108179, 115927, 85518, 8889, 5335, 24877, 106394, 11317, 48848, 81455, 23934, 87663, 12210, 41283, 17219, 1664, 27311, 32786, 106969, 92654, 71613, 75405, 22795, 42238, 53560, 48431, 71089, 49242, 25794, 118802, 104897, 26302, 97906, 87983, 54893, 118704, 18190, 111738, 112192, 116246, 68957, 83405, 68806, 33608, 119276, 13127, 111825, 18259, 106250, 15282, 50048, 18251, 84041, 3092, 107345, 111828, 63674, 21548, 7, 16845, 17441, 57964, 88767, 34624, 101861, 115126, 51771, 83444, 16862, 112911, 122982, 111738, 65094, 126118, 6035, 67885, 101074, 57101, 66669, 23136, 117761, 52024, 12674, 60449, 46866, 110596, 107285, 59132, 112520, 88275, 10925, 59395, 122526, 30879, 13397, 90671, 10529, 32088, 36612, 88124, 81374, 119101, 127055, 9022, 5512, 101628, 7369, 40444, 21178, 94649, 68576, 50786, 123152, 105544, 84541, 63073, 3273, 66965, 96620, 5146, 118529, 85517, 106224, 23617, 88023, 96716, 62625, 98699, 52009, 106225, 61339, 55951, 37616, 8335, 76458, 43772, 59633, 89684, 96830, 120489, 88866, 83373, 74463, 101950, 94451, 48234, 73595, 22723, 23916, 100266, 87816, 49057, 4682, 102006, 87731, 49872, 85431, 99408, 78387, 35785, 52835, 58196, 108408, 72939, 68099, 106394, 111513, 15653, 39418, 43146, 55413, 46899, 17818, 20537, 27490, 18499, 64450, 92244, 45909, 26914, 12689, 81082, 67834, 60279, 36924, 70314, 119439, 54501, 40707, 8504, 83766, 47354, 95119, 108621, 13646, 5674, 89765, 81377, 80862, 120369, 48109, 66357, 46787, 79174, 56407, 64906, 93145, 52871, 7852, 28976, 64681, 108311, 108485, 78351, 27218, 31127, 46811, 106806, 59657, 55029, 18087, 44512, 55161, 4313, 27737, 90554, 62301, 10433, 109098, 42360, 63359, 119587, 40338, 57876, 92551, 67470, 60745, 73067, 96098, 29649, 46100, 110980, 116711, 96969, 18590, 105354, 116279, 87649, 119934, 120993, 47351, 48200, 28385, 104867, 126994, 43014, 99309, 48785, 34326, 124940, 109164, 24838, 72954, 19603, 15773, 80894, 98228, 73381, 90687, 108330, 123591, 67015, 104811, 17894, 21829, 84753, 11178, 3563, 119856, 2655, 116785, 36187, 48326, 119788, 124966, 15340, 36096, 37054, 62908, 89264, 120252, 104370, 107652, 61628, 19333, 111193, 111856, 90124, 101459, 21585, 79710, 1288, 56111, 91956, 19906, 59530, 27686, 11175, 13044, 85167, 96826, 82304, 39138, 79746, 42237, 17780, 88669, 66613, 110630, 74216, 32645, 40024, 53098, 7558, 100980, 8874, 67465, 78140, 108161, 72041, 59281, 66868, 12525, 107489, 93800, 70370, 24249, 121391, 52744, 93609, 125619, 38096, 28141, 108700, 110958, 118286, 82800, 57845, 71093, 38085, 7451, 68707, 22789, 9837, 102569, 50151, 91746, 97951, 92559, 5322, 49924, 127922, 41075, 10624, 30250, 102586, 102142, 85833, 120411, 38090, 19426, 33210, 60438, 32853, 22563, 58314, 34168, 111810, 85907, 50324, 115679, 119137, 122309, 24539, 71394, 69396, 51259, 93357, 81414, 30783, 93784, 58718, 1148, 62936, 83672, 125430, 127381, 14064, 68895, 112801, 101165, 38278, 65911, 78986, 68998, 107053, 104617, 4592, 118854, 125570, 25299, 43802, 35987, 3962, 39793, 126930, 121543, 106128, 45521, 101616, 55519, 101310, 45, 106979, 111386, 120209, 6431, 24050, 64970, 61323, 121247, 124620, 108185, 75635, 37104, 68860, 110776, 43975, 30756, 70537, 42361, 34708, 51363, 105755, 10453, 49156, 81780, 21412, 124799, 91098, 86060, 38163, 59688, 101627, 13742, 50699, 121349, 69294, 69109, 115787, 36509, 14998, 93135, 107811, 23125, 63578, 96694, 43568, 32775, 11893, 27017, 100140, 84289, 85161, 1961, 95506, 4256, 90888, 28066, 58288, 60996, 5940, 50116, 30103, 15422, 81956, 55887, 86623, 50842, 68720, 95969, 72624, 98741, 121542, 34593, 91022, 108802, 53307, 72444, 28392, 108799, 3102, 124246, 11360, 44147, 56847, 127440, 56340, 91231, 10605, 106029, 104144, 29609, 92927, 22472, 83622, 124473, 119132, 10290, 85799, 114572, 50633, 53053, 82987, 61022, 100230, 20132, 121220, 93559, 64700, 75172, 13489, 46963, 109971, 90635, 43392, 38231, 76620, 82359, 11400, 122045, 127120, 14733, 103611, 61556, 67286, 82605, 52484, 19892, 103678, 5789, 51079, 23207, 28083, 40417, 27737, 73307, 80360, 81727, 16145, 12388, 115443, 127901, 21385, 109810, 3604, 22483, 50654, 56029, 59843, 4063, 71920, 38488, 14282, 13775, 54244, 26324, 106989, 29728, 7608, 107429, 109813, 38297, 107544, 34095, 75042, 96080, 24376, 52037, 17428, 101964, 74514, 47133, 89688, 109576, 103796, 11165, 43877, 22116, 88920, 39331, 50367, 112714, 81830, 76392, 24333, 97201, 32447, 54502, 498, 67434, 3931, 59984, 68791, 75421, 109507, 106250, 126911, 2424, 68941, 126149, 38635, 116701, 42230, 107452, 46418, 90642, 1954, 10177, 56376, 107004, 87129, 31915, 78709, 41623, 46902, 54156, 111126, 79016, 44957, 116727, 80096, 13174, 72468, 15851, 79286, 81566, 41303, 71328, 55133, 65047, 108309, 9613, 17040, 39681, 81881, 45758, 101388, 16313, 32505, 39840, 58995, 68058, 86948, 120308, 79969, 122939, 70244, 45134, 20459, 1946, 111633, 57297, 85568, 20273, 60260, 43091, 116337, 10865, 59516, 60513, 111316, 26103, 17201, 81605, 40409, 44025, 109810, 26242, 37075, 35016, 46820, 55135, 15975, 108096, 74776, 50745, 14127, 75849, 97461, 17246, 20147, 72354, 60218, 29858, 41664, 21702, 33907, 797, 71888, 67866, 31471, 117133, 103871, 31884, 127791, 121427, 96023, 106548, 97706, 89085, 96963, 26418, 95719, 66751, 126694, 77814, 97058, 98522, 39774, 688, 124807, 85233, 32522, 72262, 88183, 89986, 9532, 22945, 61949, 99324, 38907, 68311, 113304, 6726, 66630, 109402, 116246, 33943, 7760, 19006, 96911, 49524, 4679, 43615, 83431, 2539, 98095, 13500, 114888, 95850, 112504, 46419, 73298, 71375, 4860, 53053, 3179, 122585, 23383, 34256, 86826, 42978, 1173, 829, 113008, 2654, 21430, 18155, 103411, 36622, 30410, 67679, 55925, 98160, 100889, 70919, 17645, 29319, 16560, 73357, 55069, 34920, 52394, 106699, 118165, 9542, 77999, 110542, 33996, 32077, 85486, 122970, 117718, 118757, 55413, 126835, 101370, 44172, 119858, 84624, 70432, 114967, 39687, 41431, 124790, 47625, 31470, 90548, 48991, 59633, 97664, 7558, 35062, 21122, 61137, 27443, 6342, 124955, 96501, 98282, 3210, 126707, 27199, 119949, 94201, 62552, 84306, 29443, 24162, 80145, 77830, 125530, 99767, 21033, 12475, 40984, 20566, 123682, 69877, 26925, 16872, 81023, 58204, 84613, 51041, 1846, 9088, 31463, 104999, 93994, 89178, 125481, 98691, 111332, 53361, 17656, 4382, 117817, 10162, 66387, 119098, 58943, 109197, 67740, 87288, 5187, 112682, 118762, 108264, 45803, 7379, 30803, 10414, 22650, 93328, 104538, 23234, 117993, 3062, 87152, 93214, 6754, 2459, 33557, 100509, 117618, 72037, 102442, 63634, 40858, 40230, 11057, 20056, 56880, 15053, 96169, 94919, 125637, 57771, 113655, 31723, 70563, 65606, 22291, 58964, 114624, 119836, 64399, 7785, 21111, 114157, 89610, 29900, 123459, 88337, 107240, 108807, 97878, 34176, 20756, 116551, 122337, 88041, 51578, 72213, 110075, 89369, 21853, 96436, 121813, 36059, 25892, 102009, 67479, 41029, 121380, 84256, 72332, 13583, 92516, 121442, 56935, 13071, 76330, 95205, 34924, 7997, 122229, 83899, 19017, 34182, 125814, 66318, 27502, 5131, 84283, 63878, 16370, 20430, 113491, 87471, 33341, 50526, 3586, 7248, 74212, 112027, 49842, 112625, 81806 ]

[612,1144,1342,90,333,11281,452,15511,59,8892,34511,92,1144,713,80,452,15511,20,59,25956,2186,91255,(...TRUNCATED)

[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)

[15893,36234,67673,112802,127828,55512,28596,92295,13326,10406,32608,90453,111566,104855,64625,10574(...TRUNCATED)

[279,7200,382,59,7413,90,18257,534,59,3133,287,198,59,1012,32785,58,3175,28,15,13,19799,59,1342,3175(...TRUNCATED)

[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)

[58807,59837,87110,106973,66068,111839,117174,8676,112737,60419,77400,78054,32852,87757,15011,99864,(...TRUNCATED)

[1144,92650,90,68,92,88310,59,2017,1074,36802,15479,22825,59,408,90,26378,367,534,2940,59060,2017,10(...TRUNCATED)

[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)

[10468,33836,4481,24401,56794,1521,28325,120372,91784,4536,39031,40346,12900,45266,29838,95182,5108,(...TRUNCATED)

Datasets:

samihormi
/

Hllama3.1_8b_instruct_MU_RedPajama-Data-1T_reservoir_eng_tokenized_random

Collection including samihormi/Hllama3.1_8b_instruct_MU_RedPajama-Data-1T_reservoir_eng_tokenized_random

H100_tokenized