samihormi/Hllama3.1_8b_instruct_MU_RedPajama-Data-1T_reservoir_eng_tokenized_normal

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, 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 ]
[ 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 ]	[ 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 ]
[ 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 ]	[ 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 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 ]
[ 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 ]	[ 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 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 ]
[ 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 ]	[ 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 ]
[ 612, 1144, 1342, 90, 333, 11281, 452, 15511, 59, 8892, 34511, 92, 1144, 713, 80, 452, 15511, 20, 59, 25956, 2186, 91255, 220, 220, 15, 11, 612, 1144, 1342, 90, 61036, 28374, 59, 408, 90, 24857, 534, 59, 408, 90, 26378, 367, 633, 1271, 11294, 279, 3330, 17915, 27541, 369, 1855, 470, 9308, 2449, 198, 906, 4128, 4288, 10688, 369, 59060, 20892, 90, 85, 52635, 1135, 32816, 323, 400, 66, 15511, 59, 8892, 282, 32816, 505, 198, 79689, 4972, 43785, 3196, 389, 6484, 6029, 13, 763, 279, 1162, 198, 1073, 59060, 20892, 90, 85, 52635, 1135, 32816, 584, 1005, 264, 1515, 53183, 8141, 12457, 505, 264, 198, 23796, 3325, 1355, 41956, 5052, 311, 279, 6205, 8141, 505, 3766, 198, 1691, 1824, 76, 44225, 32313, 5068, 304, 279, 17649, 320, 4151, 198, 59, 2784, 47852, 90, 18257, 25, 3175, 16416, 5525, 59, 5447, 10179, 90, 32812, 369, 279, 17649, 198, 220, 6205, 315, 1584, 65511, 6982, 304, 1144, 2784, 47852, 90, 18257, 25, 3175, 16416, 92, 512, 220, 1144, 66, 42638, 9, 90, 6971, 62247, 25, 1049, 16, 11308, 1144, 66, 42638, 9, 90, 9028, 58268, 25, 2550, 18, 2499, 220, 1144, 66, 42638, 9, 90, 1163, 833, 278, 324, 25, 2550, 24, 11308, 1144, 66, 42638, 90, 1163, 833, 278, 324, 25, 1049, 15, 11, 13182, 6713, 25, 1049, 22, 65, 345, 262, 17200, 25, 4468, 23, 11, 82747, 25, 679, 17, 11, 74798, 25, 1049, 24, 11, 74798, 25, 679, 17, 11, 74798, 25, 679, 18, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 65, 44754, 276, 1247, 277, 25, 1049, 18, 65, 11308, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 345, 262, 31663, 1247, 277, 25, 1049, 21, 11, 31663, 1247, 277, 25, 1049, 24, 64, 11, 31663, 1247, 277, 25, 679, 18, 11, 31663, 1247, 277, 25, 679, 19, 64, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 18, 64, 2186, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 1049, 22, 2499, 220, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 679, 19, 65, 11308, 1144, 66, 42638, 90, 27109, 25, 1049, 16, 11, 35393, 616, 25, 2550, 21, 11, 4356, 25, 1049, 22, 345, 262, 1901, 10196, 276, 25, 679, 20, 7966, 2186, 26619, 430, 420, 12722, 16964, 279, 837, 198, 82816, 369, 279, 7187, 315, 34075, 2170, 13, 4452, 11, 2167, 19179, 198, 1073, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 8331, 374, 12207, 810, 198, 13798, 3951, 323, 779, 369, 279, 10096, 315, 420, 990, 584, 4128, 4288, 10688, 198, 66463, 264, 14113, 8141, 1990, 220, 15, 323, 220, 16, 13, 763, 198, 59, 2784, 47852, 90, 18257, 49131, 869, 34210, 16416, 2186, 584, 1501, 264, 12593, 1990, 420, 198, 395, 61674, 323, 279, 6205, 8141, 13240, 555, 198, 59, 68175, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 505, 872, 1925, 6205, 315, 220, 1806, 934, 300, 1590, 13, 31663, 1247, 277, 1880, 198, 278, 13, 1511, 61322, 8768, 39975, 32758, 311, 6767, 279, 19983, 315, 2860, 198, 447, 68038, 31405, 17915, 13282, 2949, 279, 6332, 11, 902, 574, 1243, 1511, 439, 198, 64, 13594, 369, 279, 18702, 8331, 13, 3296, 15691, 704, 264, 1403, 2442, 5805, 198, 42, 337, 76, 540, 269, 869, 6354, 20531, 39142, 320, 41549, 8, 1296, 315, 279, 31178, 430, 279, 31663, 1247, 277, 1880, 198, 278, 13, 828, 527, 13263, 449, 1057, 19655, 14113, 8141, 11, 584, 1505, 198, 9210, 420, 31178, 374, 18010, 520, 279, 220, 15, 13, 2304, 2237, 11, 719, 539, 520, 279, 198, 15, 13, 1721, 2237, 320, 576, 15632, 374, 30801, 555, 279, 7251, 1791, 488, 315, 934, 300, 1590, 304, 279, 198, 13925, 449, 400, 66, 15511, 59, 8892, 282, 92, 1144, 645, 784, 318, 220, 15, 13, 17, 3, 570, 1102, 374, 9093, 3284, 430, 198, 1820, 7187, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 1253, 198, 3667, 6629, 14738, 505, 279, 14113, 8141, 19655, 304, 420, 198, 1816, 13, 1226, 4358, 279, 25127, 315, 420, 4726, 304, 198, 59, 2784, 47852, 90, 2879, 25, 93013, 19100, 92, 382, 59, 2879, 90, 32, 220, 1691, 59, 11, 6358, 44225, 10795, 449, 198, 220, 5871, 42, 2599, 11281, 1530, 90, 2879, 25, 543, 646, 8050, 89445, 633, 1687, 1005, 279, 13673, 15992, 38988, 4512, 265, 2982, 85281, 320, 7536, 2599, 280, 59, 68175, 3223, 90, 13379, 7876, 25, 1049, 22, 5525, 439, 264, 1162, 4007, 311, 20461, 279, 3685, 198, 8234, 505, 13205, 7029, 19677, 32313, 369, 220, 1691, 59, 11, 6358, 44225, 198, 2069, 1326, 13, 279, 5871, 42, 2599, 5629, 20902, 22855, 66181, 24507, 304, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 40614, 60765, 1565, 1880, 453, 2637, 279, 95816, 42, 835, 22855, 66181, 7228, 24507, 1198, 74798, 1880, 453, 2637, 323, 198, 1820, 7694, 369, 34511, 44225, 449, 362, 716, 51, 2843, 1198, 79160, 15719, 1880, 453, 36434, 5871, 42, 2599, 198, 285, 5131, 47397, 12396, 287, 13, 38091, 8838, 15204, 1512, 24654, 198, 4291, 279, 12894, 91674, 17005, 3475, 2982, 20374, 68175, 3223, 90, 20780, 276, 25, 679, 19, 5525, 617, 198, 46584, 1027, 1511, 311, 7946, 11388, 264, 502, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 3518, 269, 655, 5938, 449, 264, 35977, 3995, 9063, 34261, 520, 400, 89, 284, 220, 15, 13, 2096, 26101, 11781, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 17041, 5810, 584, 7168, 279, 15632, 315, 264, 3938, 198, 17, 59, 11, 71, 17453, 16983, 287, 10795, 315, 279, 4553, 18561, 13180, 1746, 59, 20869, 1144, 273, 80, 198, 10, 605, 59, 451, 911, 3, 8, 1701, 279, 2539, 220, 1927, 12, 519, 15299, 5871, 42, 2599, 304, 264, 3254, 220, 12166, 59, 11, 38592, 7200, 198, 42967, 220, 22375, 13, 20, 323, 220, 4645, 20, 13, 20, 59, 11, 38592, 11, 13890, 311, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 1171, 13724, 82, 1990, 400, 89, 284, 220, 15, 13, 19, 3, 323, 220, 16, 13, 15, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 4511, 2415, 67761, 16378, 534, 59, 24232, 90, 791, 1396, 315, 9063, 8336, 304, 1057, 46836, 18561, 13180, 198, 220, 10795, 1746, 59, 20869, 1144, 273, 80, 489, 605, 59, 451, 911, 3, 8, 13240, 505, 6484, 16808, 1157, 198, 220, 520, 400, 43, 3, 12, 7198, 34873, 320, 4151, 279, 1495, 369, 3649, 570, 578, 20366, 5654, 198, 220, 3289, 50441, 279, 3685, 1396, 4028, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 5871, 42, 2599, 198, 220, 11900, 7200, 11, 26619, 264, 43553, 57077, 1963, 315, 59060, 7288, 4125, 220, 482, 15, 13, 22, 13244, 11281, 1530, 90, 18257, 25, 4511, 2415, 67761, 534, 59, 408, 90, 18257, 633, 8140, 17078, 315, 279, 5871, 42, 2599, 5178, 527, 3196, 389, 33269, 198, 48899, 1392, 555, 1144, 68175, 90, 1163, 2877, 70160, 25, 679, 20, 92, 1701, 279, 25018, 4488, 29252, 2445, 198, 220, 8105, 92, 10474, 1358, 5510, 13, 1226, 16430, 279, 12248, 824, 57077, 5613, 198, 985, 279, 12164, 21037, 24524, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 25956, 15511, 59, 8892, 27114, 92, 284, 220, 314, 50, 15511, 59, 8892, 1887, 92, 1144, 2017, 1144, 27986, 92462, 15511, 59, 8892, 1499, 11281, 11, 77, 15511, 59, 8892, 3276, 11281, 13247, 77, 15511, 59, 8892, 3276, 92, 482, 220, 16, 10929, 27362, 20892, 90, 83, 52635, 59, 8892, 304, 11281, 27362, 20892, 36802, 9110, 52635, 59, 8892, 27114, 3500, 2186, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 50, 15511, 59, 8892, 1887, 32816, 374, 279, 1887, 13890, 31405, 17915, 11, 400, 77, 15511, 59, 8892, 198, 220, 1499, 32816, 374, 279, 1396, 315, 25685, 8200, 11, 400, 77, 15511, 59, 8892, 3276, 32816, 374, 279, 1396, 315, 198, 519, 2734, 300, 11, 59060, 20892, 90, 83, 52635, 59, 8892, 304, 32816, 374, 279, 389, 31874, 18052, 892, 323, 198, 59836, 20892, 36802, 9110, 52635, 59, 8892, 27114, 32816, 374, 279, 57077, 11175, 304, 11900, 13, 578, 198, 82, 48937, 315, 279, 56925, 304, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 7200, 374, 198, 7475, 311, 13592, 1990, 400, 50, 15511, 59, 8892, 1887, 92, 1144, 49153, 220, 9588, 15, 3, 323, 400, 1049, 15, 59836, 11, 41, 88, 345, 4291, 279, 7928, 2349, 304, 27541, 1990, 220, 7007, 323, 220, 4728, 59, 11, 38592, 13, 5871, 42, 2599, 198, 4752, 19091, 13790, 83245, 35496, 11, 220, 1927, 87851, 323, 264, 7060, 4141, 6201, 198, 9210, 19159, 220, 845, 59, 11, 17763, 9678, 12006, 4028, 279, 2539, 220, 12166, 59, 11, 38592, 198, 7198, 3175, 11, 779, 279, 3685, 12248, 824, 220, 972, 13, 20, 59, 11, 62856, 5613, 304, 264, 220, 17, 59, 11, 71, 198, 79060, 374, 13489, 220, 20, 13, 20, 482, 220, 18, 13, 20, 59, 11, 76, 41, 88, 59, 11, 54971, 3, 88310, 16, 32816, 4028, 279, 198, 7198, 13, 763, 279, 1162, 315, 459, 5150, 10795, 11, 279, 837, 27541, 690, 315, 198, 12120, 387, 12715, 304, 279, 57077, 828, 439, 264, 734, 315, 2579, 13724, 320, 4151, 198, 68, 1326, 13, 1144, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 39942, 719, 369, 279, 10096, 315, 279, 46836, 198, 48554, 10666, 304, 420, 990, 584, 6859, 279, 7200, 1139, 3892, 11900, 198, 40430, 311, 12602, 279, 23851, 304, 27541, 323, 15798, 11175, 198, 83894, 374, 304, 279, 2134, 220, 22, 13, 23, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 22375, 13, 20, 59, 11, 38592, 311, 198, 20, 13, 20, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 4645, 20, 13, 20, 59, 11, 38592, 3677, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 89, 12489, 16378, 534, 59, 24232, 90, 791, 8141, 315, 356, 20982, 10022, 8336, 20374, 68175, 3223, 90, 27368, 8099, 25, 1049, 23, 3602, 220, 53657, 1109, 220, 605, 59, 11, 76, 41, 88, 7953, 264, 2728, 2579, 13724, 400, 89, 13244, 578, 2579, 1584, 198, 220, 72214, 279, 40944, 8141, 16997, 505, 279, 1719, 16743, 198, 220, 1646, 315, 1144, 66, 42638, 90, 451, 57, 42327, 25, 679, 15, 7966, 11281, 1530, 90, 18257, 25, 89, 12489, 534, 59, 408, 90, 18257, 633, 644, 2015, 311, 38553, 264, 26569, 10795, 315, 279, 18561, 13180, 584, 3373, 198, 543, 9063, 8336, 10007, 315, 59060, 20869, 284, 489, 605, 59, 451, 911, 3, 505, 16808, 1157, 315, 279, 198, 31912, 13792, 95803, 58974, 15668, 20902, 2982, 15064, 24507, 198, 8368, 53, 1242, 11, 59060, 9110, 284, 220, 16, 13, 19, 59836, 11, 48343, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 17, 13, 20, 59836, 11, 76, 41, 88, 280, 59, 68175, 3223, 90, 1128, 15357, 25, 2550, 23, 39942, 279, 21972, 3907, 33518, 647, 385, 15064, 69115, 1746, 59, 9110, 198, 28, 220, 23996, 59836, 11, 38592, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 30635, 1412, 25, 1049, 18, 5525, 323, 198, 1820, 2132, 16746, 33518, 647, 385, 76317, 44144, 24507, 1746, 59, 9110, 284, 220, 23996, 59836, 11, 38592, 345, 3, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 60978, 12989, 25, 1049, 22, 17041, 578, 2592, 31405, 198, 53321, 1385, 11, 1511, 311, 11294, 279, 29393, 8149, 4017, 304, 198, 59, 2784, 47852, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 2186, 527, 13240, 520, 279, 12541, 315, 198, 9739, 11900, 9736, 555, 71462, 1113, 505, 279, 49639, 2819, 323, 198, 66463, 264, 43553, 57077, 1963, 315, 59060, 7288, 284, 482, 15, 13, 22, 13244, 763, 198, 59, 2784, 47852, 90, 18257, 25, 4511, 2415, 67761, 2186, 584, 1501, 279, 13239, 40944, 198, 82816, 315, 9063, 8336, 304, 1057, 6205, 439, 264, 734, 315, 31405, 198, 70918, 4028 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 612, 1144, 1342, 90, 333, 11281, 452, 15511, 59, 8892, 34511, 92, 1144, 713, 80, 452, 15511, 20, 59, 25956, 2186, 91255, 220, 220, 15, 11, 612, 1144, 1342, 90, 61036, 28374, 59, 408, 90, 24857, 534, 59, 408, 90, 26378, 367, 633, 1271, 11294, 279, 3330, 17915, 27541, 369, 1855, 470, 9308, 2449, 198, 906, 4128, 4288, 10688, 369, 59060, 20892, 90, 85, 52635, 1135, 32816, 323, 400, 66, 15511, 59, 8892, 282, 32816, 505, 198, 79689, 4972, 43785, 3196, 389, 6484, 6029, 13, 763, 279, 1162, 198, 1073, 59060, 20892, 90, 85, 52635, 1135, 32816, 584, 1005, 264, 1515, 53183, 8141, 12457, 505, 264, 198, 23796, 3325, 1355, 41956, 5052, 311, 279, 6205, 8141, 505, 3766, 198, 1691, 1824, 76, 44225, 32313, 5068, 304, 279, 17649, 320, 4151, 198, 59, 2784, 47852, 90, 18257, 25, 3175, 16416, 5525, 59, 5447, 10179, 90, 32812, 369, 279, 17649, 198, 220, 6205, 315, 1584, 65511, 6982, 304, 1144, 2784, 47852, 90, 18257, 25, 3175, 16416, 92, 512, 220, 1144, 66, 42638, 9, 90, 6971, 62247, 25, 1049, 16, 11308, 1144, 66, 42638, 9, 90, 9028, 58268, 25, 2550, 18, 2499, 220, 1144, 66, 42638, 9, 90, 1163, 833, 278, 324, 25, 2550, 24, 11308, 1144, 66, 42638, 90, 1163, 833, 278, 324, 25, 1049, 15, 11, 13182, 6713, 25, 1049, 22, 65, 345, 262, 17200, 25, 4468, 23, 11, 82747, 25, 679, 17, 11, 74798, 25, 1049, 24, 11, 74798, 25, 679, 17, 11, 74798, 25, 679, 18, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 65, 44754, 276, 1247, 277, 25, 1049, 18, 65, 11308, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 345, 262, 31663, 1247, 277, 25, 1049, 21, 11, 31663, 1247, 277, 25, 1049, 24, 64, 11, 31663, 1247, 277, 25, 679, 18, 11, 31663, 1247, 277, 25, 679, 19, 64, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 18, 64, 2186, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 1049, 22, 2499, 220, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 679, 19, 65, 11308, 1144, 66, 42638, 90, 27109, 25, 1049, 16, 11, 35393, 616, 25, 2550, 21, 11, 4356, 25, 1049, 22, 345, 262, 1901, 10196, 276, 25, 679, 20, 7966, 2186, 26619, 430, 420, 12722, 16964, 279, 837, 198, 82816, 369, 279, 7187, 315, 34075, 2170, 13, 4452, 11, 2167, 19179, 198, 1073, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 8331, 374, 12207, 810, 198, 13798, 3951, 323, 779, 369, 279, 10096, 315, 420, 990, 584, 4128, 4288, 10688, 198, 66463, 264, 14113, 8141, 1990, 220, 15, 323, 220, 16, 13, 763, 198, 59, 2784, 47852, 90, 18257, 49131, 869, 34210, 16416, 2186, 584, 1501, 264, 12593, 1990, 420, 198, 395, 61674, 323, 279, 6205, 8141, 13240, 555, 198, 59, 68175, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 505, 872, 1925, 6205, 315, 220, 1806, 934, 300, 1590, 13, 31663, 1247, 277, 1880, 198, 278, 13, 1511, 61322, 8768, 39975, 32758, 311, 6767, 279, 19983, 315, 2860, 198, 447, 68038, 31405, 17915, 13282, 2949, 279, 6332, 11, 902, 574, 1243, 1511, 439, 198, 64, 13594, 369, 279, 18702, 8331, 13, 3296, 15691, 704, 264, 1403, 2442, 5805, 198, 42, 337, 76, 540, 269, 869, 6354, 20531, 39142, 320, 41549, 8, 1296, 315, 279, 31178, 430, 279, 31663, 1247, 277, 1880, 198, 278, 13, 828, 527, 13263, 449, 1057, 19655, 14113, 8141, 11, 584, 1505, 198, 9210, 420, 31178, 374, 18010, 520, 279, 220, 15, 13, 2304, 2237, 11, 719, 539, 520, 279, 198, 15, 13, 1721, 2237, 320, 576, 15632, 374, 30801, 555, 279, 7251, 1791, 488, 315, 934, 300, 1590, 304, 279, 198, 13925, 449, 400, 66, 15511, 59, 8892, 282, 92, 1144, 645, 784, 318, 220, 15, 13, 17, 3, 570, 1102, 374, 9093, 3284, 430, 198, 1820, 7187, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 1253, 198, 3667, 6629, 14738, 505, 279, 14113, 8141, 19655, 304, 420, 198, 1816, 13, 1226, 4358, 279, 25127, 315, 420, 4726, 304, 198, 59, 2784, 47852, 90, 2879, 25, 93013, 19100, 92, 382, 59, 2879, 90, 32, 220, 1691, 59, 11, 6358, 44225, 10795, 449, 198, 220, 5871, 42, 2599, 11281, 1530, 90, 2879, 25, 543, 646, 8050, 89445, 633, 1687, 1005, 279, 13673, 15992, 38988, 4512, 265, 2982, 85281, 320, 7536, 2599, 280, 59, 68175, 3223, 90, 13379, 7876, 25, 1049, 22, 5525, 439, 264, 1162, 4007, 311, 20461, 279, 3685, 198, 8234, 505, 13205, 7029, 19677, 32313, 369, 220, 1691, 59, 11, 6358, 44225, 198, 2069, 1326, 13, 279, 5871, 42, 2599, 5629, 20902, 22855, 66181, 24507, 304, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 40614, 60765, 1565, 1880, 453, 2637, 279, 95816, 42, 835, 22855, 66181, 7228, 24507, 1198, 74798, 1880, 453, 2637, 323, 198, 1820, 7694, 369, 34511, 44225, 449, 362, 716, 51, 2843, 1198, 79160, 15719, 1880, 453, 36434, 5871, 42, 2599, 198, 285, 5131, 47397, 12396, 287, 13, 38091, 8838, 15204, 1512, 24654, 198, 4291, 279, 12894, 91674, 17005, 3475, 2982, 20374, 68175, 3223, 90, 20780, 276, 25, 679, 19, 5525, 617, 198, 46584, 1027, 1511, 311, 7946, 11388, 264, 502, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 3518, 269, 655, 5938, 449, 264, 35977, 3995, 9063, 34261, 520, 400, 89, 284, 220, 15, 13, 2096, 26101, 11781, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 17041, 5810, 584, 7168, 279, 15632, 315, 264, 3938, 198, 17, 59, 11, 71, 17453, 16983, 287, 10795, 315, 279, 4553, 18561, 13180, 1746, 59, 20869, 1144, 273, 80, 198, 10, 605, 59, 451, 911, 3, 8, 1701, 279, 2539, 220, 1927, 12, 519, 15299, 5871, 42, 2599, 304, 264, 3254, 220, 12166, 59, 11, 38592, 7200, 198, 42967, 220, 22375, 13, 20, 323, 220, 4645, 20, 13, 20, 59, 11, 38592, 11, 13890, 311, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 1171, 13724, 82, 1990, 400, 89, 284, 220, 15, 13, 19, 3, 323, 220, 16, 13, 15, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 4511, 2415, 67761, 16378, 534, 59, 24232, 90, 791, 1396, 315, 9063, 8336, 304, 1057, 46836, 18561, 13180, 198, 220, 10795, 1746, 59, 20869, 1144, 273, 80, 489, 605, 59, 451, 911, 3, 8, 13240, 505, 6484, 16808, 1157, 198, 220, 520, 400, 43, 3, 12, 7198, 34873, 320, 4151, 279, 1495, 369, 3649, 570, 578, 20366, 5654, 198, 220, 3289, 50441, 279, 3685, 1396, 4028, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 5871, 42, 2599, 198, 220, 11900, 7200, 11, 26619, 264, 43553, 57077, 1963, 315, 59060, 7288, 4125, 220, 482, 15, 13, 22, 13244, 11281, 1530, 90, 18257, 25, 4511, 2415, 67761, 534, 59, 408, 90, 18257, 633, 8140, 17078, 315, 279, 5871, 42, 2599, 5178, 527, 3196, 389, 33269, 198, 48899, 1392, 555, 1144, 68175, 90, 1163, 2877, 70160, 25, 679, 20, 92, 1701, 279, 25018, 4488, 29252, 2445, 198, 220, 8105, 92, 10474, 1358, 5510, 13, 1226, 16430, 279, 12248, 824, 57077, 5613, 198, 985, 279, 12164, 21037, 24524, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 25956, 15511, 59, 8892, 27114, 92, 284, 220, 314, 50, 15511, 59, 8892, 1887, 92, 1144, 2017, 1144, 27986, 92462, 15511, 59, 8892, 1499, 11281, 11, 77, 15511, 59, 8892, 3276, 11281, 13247, 77, 15511, 59, 8892, 3276, 92, 482, 220, 16, 10929, 27362, 20892, 90, 83, 52635, 59, 8892, 304, 11281, 27362, 20892, 36802, 9110, 52635, 59, 8892, 27114, 3500, 2186, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 50, 15511, 59, 8892, 1887, 32816, 374, 279, 1887, 13890, 31405, 17915, 11, 400, 77, 15511, 59, 8892, 198, 220, 1499, 32816, 374, 279, 1396, 315, 25685, 8200, 11, 400, 77, 15511, 59, 8892, 3276, 32816, 374, 279, 1396, 315, 198, 519, 2734, 300, 11, 59060, 20892, 90, 83, 52635, 59, 8892, 304, 32816, 374, 279, 389, 31874, 18052, 892, 323, 198, 59836, 20892, 36802, 9110, 52635, 59, 8892, 27114, 32816, 374, 279, 57077, 11175, 304, 11900, 13, 578, 198, 82, 48937, 315, 279, 56925, 304, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 7200, 374, 198, 7475, 311, 13592, 1990, 400, 50, 15511, 59, 8892, 1887, 92, 1144, 49153, 220, 9588, 15, 3, 323, 400, 1049, 15, 59836, 11, 41, 88, 345, 4291, 279, 7928, 2349, 304, 27541, 1990, 220, 7007, 323, 220, 4728, 59, 11, 38592, 13, 5871, 42, 2599, 198, 4752, 19091, 13790, 83245, 35496, 11, 220, 1927, 87851, 323, 264, 7060, 4141, 6201, 198, 9210, 19159, 220, 845, 59, 11, 17763, 9678, 12006, 4028, 279, 2539, 220, 12166, 59, 11, 38592, 198, 7198, 3175, 11, 779, 279, 3685, 12248, 824, 220, 972, 13, 20, 59, 11, 62856, 5613, 304, 264, 220, 17, 59, 11, 71, 198, 79060, 374, 13489, 220, 20, 13, 20, 482, 220, 18, 13, 20, 59, 11, 76, 41, 88, 59, 11, 54971, 3, 88310, 16, 32816, 4028, 279, 198, 7198, 13, 763, 279, 1162, 315, 459, 5150, 10795, 11, 279, 837, 27541, 690, 315, 198, 12120, 387, 12715, 304, 279, 57077, 828, 439, 264, 734, 315, 2579, 13724, 320, 4151, 198, 68, 1326, 13, 1144, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 39942, 719, 369, 279, 10096, 315, 279, 46836, 198, 48554, 10666, 304, 420, 990, 584, 6859, 279, 7200, 1139, 3892, 11900, 198, 40430, 311, 12602, 279, 23851, 304, 27541, 323, 15798, 11175, 198, 83894, 374, 304, 279, 2134, 220, 22, 13, 23, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 22375, 13, 20, 59, 11, 38592, 311, 198, 20, 13, 20, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 4645, 20, 13, 20, 59, 11, 38592, 3677, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 89, 12489, 16378, 534, 59, 24232, 90, 791, 8141, 315, 356, 20982, 10022, 8336, 20374, 68175, 3223, 90, 27368, 8099, 25, 1049, 23, 3602, 220, 53657, 1109, 220, 605, 59, 11, 76, 41, 88, 7953, 264, 2728, 2579, 13724, 400, 89, 13244, 578, 2579, 1584, 198, 220, 72214, 279, 40944, 8141, 16997, 505, 279, 1719, 16743, 198, 220, 1646, 315, 1144, 66, 42638, 90, 451, 57, 42327, 25, 679, 15, 7966, 11281, 1530, 90, 18257, 25, 89, 12489, 534, 59, 408, 90, 18257, 633, 644, 2015, 311, 38553, 264, 26569, 10795, 315, 279, 18561, 13180, 584, 3373, 198, 543, 9063, 8336, 10007, 315, 59060, 20869, 284, 489, 605, 59, 451, 911, 3, 505, 16808, 1157, 315, 279, 198, 31912, 13792, 95803, 58974, 15668, 20902, 2982, 15064, 24507, 198, 8368, 53, 1242, 11, 59060, 9110, 284, 220, 16, 13, 19, 59836, 11, 48343, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 17, 13, 20, 59836, 11, 76, 41, 88, 280, 59, 68175, 3223, 90, 1128, 15357, 25, 2550, 23, 39942, 279, 21972, 3907, 33518, 647, 385, 15064, 69115, 1746, 59, 9110, 198, 28, 220, 23996, 59836, 11, 38592, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 30635, 1412, 25, 1049, 18, 5525, 323, 198, 1820, 2132, 16746, 33518, 647, 385, 76317, 44144, 24507, 1746, 59, 9110, 284, 220, 23996, 59836, 11, 38592, 345, 3, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 60978, 12989, 25, 1049, 22, 17041, 578, 2592, 31405, 198, 53321, 1385, 11, 1511, 311, 11294, 279, 29393, 8149, 4017, 304, 198, 59, 2784, 47852, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 2186, 527, 13240, 520, 279, 12541, 315, 198, 9739, 11900, 9736, 555, 71462, 1113, 505, 279, 49639, 2819, 323, 198, 66463, 264, 43553, 57077, 1963, 315, 59060, 7288, 284, 482, 15, 13, 22, 13244, 763, 198, 59, 2784, 47852, 90, 18257, 25, 4511, 2415, 67761, 2186, 584, 1501, 279, 13239, 40944, 198, 82816, 315, 9063, 8336, 304, 1057, 6205, 439, 264, 734, 315, 31405, 198, 70918, 4028 ]
[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)	[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)
[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)	[1144,92650,90,68,92,88310,59,2017,1074,36802,15479,22825,59,408,90,26378,367,534,2940,59060,2017,10(...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, 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 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 ]

[ 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 ]

[ 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 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 ]

[ 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 ]

[ 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 ]

[ 612, 1144, 1342, 90, 333, 11281, 452, 15511, 59, 8892, 34511, 92, 1144, 713, 80, 452, 15511, 20, 59, 25956, 2186, 91255, 220, 220, 15, 11, 612, 1144, 1342, 90, 61036, 28374, 59, 408, 90, 24857, 534, 59, 408, 90, 26378, 367, 633, 1271, 11294, 279, 3330, 17915, 27541, 369, 1855, 470, 9308, 2449, 198, 906, 4128, 4288, 10688, 369, 59060, 20892, 90, 85, 52635, 1135, 32816, 323, 400, 66, 15511, 59, 8892, 282, 32816, 505, 198, 79689, 4972, 43785, 3196, 389, 6484, 6029, 13, 763, 279, 1162, 198, 1073, 59060, 20892, 90, 85, 52635, 1135, 32816, 584, 1005, 264, 1515, 53183, 8141, 12457, 505, 264, 198, 23796, 3325, 1355, 41956, 5052, 311, 279, 6205, 8141, 505, 3766, 198, 1691, 1824, 76, 44225, 32313, 5068, 304, 279, 17649, 320, 4151, 198, 59, 2784, 47852, 90, 18257, 25, 3175, 16416, 5525, 59, 5447, 10179, 90, 32812, 369, 279, 17649, 198, 220, 6205, 315, 1584, 65511, 6982, 304, 1144, 2784, 47852, 90, 18257, 25, 3175, 16416, 92, 512, 220, 1144, 66, 42638, 9, 90, 6971, 62247, 25, 1049, 16, 11308, 1144, 66, 42638, 9, 90, 9028, 58268, 25, 2550, 18, 2499, 220, 1144, 66, 42638, 9, 90, 1163, 833, 278, 324, 25, 2550, 24, 11308, 1144, 66, 42638, 90, 1163, 833, 278, 324, 25, 1049, 15, 11, 13182, 6713, 25, 1049, 22, 65, 345, 262, 17200, 25, 4468, 23, 11, 82747, 25, 679, 17, 11, 74798, 25, 1049, 24, 11, 74798, 25, 679, 17, 11, 74798, 25, 679, 18, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 65, 44754, 276, 1247, 277, 25, 1049, 18, 65, 11308, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 345, 262, 31663, 1247, 277, 25, 1049, 21, 11, 31663, 1247, 277, 25, 1049, 24, 64, 11, 31663, 1247, 277, 25, 679, 18, 11, 31663, 1247, 277, 25, 679, 19, 64, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 18, 64, 2186, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 1049, 22, 2499, 220, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 679, 19, 65, 11308, 1144, 66, 42638, 90, 27109, 25, 1049, 16, 11, 35393, 616, 25, 2550, 21, 11, 4356, 25, 1049, 22, 345, 262, 1901, 10196, 276, 25, 679, 20, 7966, 2186, 26619, 430, 420, 12722, 16964, 279, 837, 198, 82816, 369, 279, 7187, 315, 34075, 2170, 13, 4452, 11, 2167, 19179, 198, 1073, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 8331, 374, 12207, 810, 198, 13798, 3951, 323, 779, 369, 279, 10096, 315, 420, 990, 584, 4128, 4288, 10688, 198, 66463, 264, 14113, 8141, 1990, 220, 15, 323, 220, 16, 13, 763, 198, 59, 2784, 47852, 90, 18257, 49131, 869, 34210, 16416, 2186, 584, 1501, 264, 12593, 1990, 420, 198, 395, 61674, 323, 279, 6205, 8141, 13240, 555, 198, 59, 68175, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 505, 872, 1925, 6205, 315, 220, 1806, 934, 300, 1590, 13, 31663, 1247, 277, 1880, 198, 278, 13, 1511, 61322, 8768, 39975, 32758, 311, 6767, 279, 19983, 315, 2860, 198, 447, 68038, 31405, 17915, 13282, 2949, 279, 6332, 11, 902, 574, 1243, 1511, 439, 198, 64, 13594, 369, 279, 18702, 8331, 13, 3296, 15691, 704, 264, 1403, 2442, 5805, 198, 42, 337, 76, 540, 269, 869, 6354, 20531, 39142, 320, 41549, 8, 1296, 315, 279, 31178, 430, 279, 31663, 1247, 277, 1880, 198, 278, 13, 828, 527, 13263, 449, 1057, 19655, 14113, 8141, 11, 584, 1505, 198, 9210, 420, 31178, 374, 18010, 520, 279, 220, 15, 13, 2304, 2237, 11, 719, 539, 520, 279, 198, 15, 13, 1721, 2237, 320, 576, 15632, 374, 30801, 555, 279, 7251, 1791, 488, 315, 934, 300, 1590, 304, 279, 198, 13925, 449, 400, 66, 15511, 59, 8892, 282, 92, 1144, 645, 784, 318, 220, 15, 13, 17, 3, 570, 1102, 374, 9093, 3284, 430, 198, 1820, 7187, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 1253, 198, 3667, 6629, 14738, 505, 279, 14113, 8141, 19655, 304, 420, 198, 1816, 13, 1226, 4358, 279, 25127, 315, 420, 4726, 304, 198, 59, 2784, 47852, 90, 2879, 25, 93013, 19100, 92, 382, 59, 2879, 90, 32, 220, 1691, 59, 11, 6358, 44225, 10795, 449, 198, 220, 5871, 42, 2599, 11281, 1530, 90, 2879, 25, 543, 646, 8050, 89445, 633, 1687, 1005, 279, 13673, 15992, 38988, 4512, 265, 2982, 85281, 320, 7536, 2599, 280, 59, 68175, 3223, 90, 13379, 7876, 25, 1049, 22, 5525, 439, 264, 1162, 4007, 311, 20461, 279, 3685, 198, 8234, 505, 13205, 7029, 19677, 32313, 369, 220, 1691, 59, 11, 6358, 44225, 198, 2069, 1326, 13, 279, 5871, 42, 2599, 5629, 20902, 22855, 66181, 24507, 304, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 40614, 60765, 1565, 1880, 453, 2637, 279, 95816, 42, 835, 22855, 66181, 7228, 24507, 1198, 74798, 1880, 453, 2637, 323, 198, 1820, 7694, 369, 34511, 44225, 449, 362, 716, 51, 2843, 1198, 79160, 15719, 1880, 453, 36434, 5871, 42, 2599, 198, 285, 5131, 47397, 12396, 287, 13, 38091, 8838, 15204, 1512, 24654, 198, 4291, 279, 12894, 91674, 17005, 3475, 2982, 20374, 68175, 3223, 90, 20780, 276, 25, 679, 19, 5525, 617, 198, 46584, 1027, 1511, 311, 7946, 11388, 264, 502, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 3518, 269, 655, 5938, 449, 264, 35977, 3995, 9063, 34261, 520, 400, 89, 284, 220, 15, 13, 2096, 26101, 11781, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 17041, 5810, 584, 7168, 279, 15632, 315, 264, 3938, 198, 17, 59, 11, 71, 17453, 16983, 287, 10795, 315, 279, 4553, 18561, 13180, 1746, 59, 20869, 1144, 273, 80, 198, 10, 605, 59, 451, 911, 3, 8, 1701, 279, 2539, 220, 1927, 12, 519, 15299, 5871, 42, 2599, 304, 264, 3254, 220, 12166, 59, 11, 38592, 7200, 198, 42967, 220, 22375, 13, 20, 323, 220, 4645, 20, 13, 20, 59, 11, 38592, 11, 13890, 311, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 1171, 13724, 82, 1990, 400, 89, 284, 220, 15, 13, 19, 3, 323, 220, 16, 13, 15, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 4511, 2415, 67761, 16378, 534, 59, 24232, 90, 791, 1396, 315, 9063, 8336, 304, 1057, 46836, 18561, 13180, 198, 220, 10795, 1746, 59, 20869, 1144, 273, 80, 489, 605, 59, 451, 911, 3, 8, 13240, 505, 6484, 16808, 1157, 198, 220, 520, 400, 43, 3, 12, 7198, 34873, 320, 4151, 279, 1495, 369, 3649, 570, 578, 20366, 5654, 198, 220, 3289, 50441, 279, 3685, 1396, 4028, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 5871, 42, 2599, 198, 220, 11900, 7200, 11, 26619, 264, 43553, 57077, 1963, 315, 59060, 7288, 4125, 220, 482, 15, 13, 22, 13244, 11281, 1530, 90, 18257, 25, 4511, 2415, 67761, 534, 59, 408, 90, 18257, 633, 8140, 17078, 315, 279, 5871, 42, 2599, 5178, 527, 3196, 389, 33269, 198, 48899, 1392, 555, 1144, 68175, 90, 1163, 2877, 70160, 25, 679, 20, 92, 1701, 279, 25018, 4488, 29252, 2445, 198, 220, 8105, 92, 10474, 1358, 5510, 13, 1226, 16430, 279, 12248, 824, 57077, 5613, 198, 985, 279, 12164, 21037, 24524, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 25956, 15511, 59, 8892, 27114, 92, 284, 220, 314, 50, 15511, 59, 8892, 1887, 92, 1144, 2017, 1144, 27986, 92462, 15511, 59, 8892, 1499, 11281, 11, 77, 15511, 59, 8892, 3276, 11281, 13247, 77, 15511, 59, 8892, 3276, 92, 482, 220, 16, 10929, 27362, 20892, 90, 83, 52635, 59, 8892, 304, 11281, 27362, 20892, 36802, 9110, 52635, 59, 8892, 27114, 3500, 2186, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 50, 15511, 59, 8892, 1887, 32816, 374, 279, 1887, 13890, 31405, 17915, 11, 400, 77, 15511, 59, 8892, 198, 220, 1499, 32816, 374, 279, 1396, 315, 25685, 8200, 11, 400, 77, 15511, 59, 8892, 3276, 32816, 374, 279, 1396, 315, 198, 519, 2734, 300, 11, 59060, 20892, 90, 83, 52635, 59, 8892, 304, 32816, 374, 279, 389, 31874, 18052, 892, 323, 198, 59836, 20892, 36802, 9110, 52635, 59, 8892, 27114, 32816, 374, 279, 57077, 11175, 304, 11900, 13, 578, 198, 82, 48937, 315, 279, 56925, 304, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 7200, 374, 198, 7475, 311, 13592, 1990, 400, 50, 15511, 59, 8892, 1887, 92, 1144, 49153, 220, 9588, 15, 3, 323, 400, 1049, 15, 59836, 11, 41, 88, 345, 4291, 279, 7928, 2349, 304, 27541, 1990, 220, 7007, 323, 220, 4728, 59, 11, 38592, 13, 5871, 42, 2599, 198, 4752, 19091, 13790, 83245, 35496, 11, 220, 1927, 87851, 323, 264, 7060, 4141, 6201, 198, 9210, 19159, 220, 845, 59, 11, 17763, 9678, 12006, 4028, 279, 2539, 220, 12166, 59, 11, 38592, 198, 7198, 3175, 11, 779, 279, 3685, 12248, 824, 220, 972, 13, 20, 59, 11, 62856, 5613, 304, 264, 220, 17, 59, 11, 71, 198, 79060, 374, 13489, 220, 20, 13, 20, 482, 220, 18, 13, 20, 59, 11, 76, 41, 88, 59, 11, 54971, 3, 88310, 16, 32816, 4028, 279, 198, 7198, 13, 763, 279, 1162, 315, 459, 5150, 10795, 11, 279, 837, 27541, 690, 315, 198, 12120, 387, 12715, 304, 279, 57077, 828, 439, 264, 734, 315, 2579, 13724, 320, 4151, 198, 68, 1326, 13, 1144, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 39942, 719, 369, 279, 10096, 315, 279, 46836, 198, 48554, 10666, 304, 420, 990, 584, 6859, 279, 7200, 1139, 3892, 11900, 198, 40430, 311, 12602, 279, 23851, 304, 27541, 323, 15798, 11175, 198, 83894, 374, 304, 279, 2134, 220, 22, 13, 23, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 22375, 13, 20, 59, 11, 38592, 311, 198, 20, 13, 20, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 4645, 20, 13, 20, 59, 11, 38592, 3677, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 89, 12489, 16378, 534, 59, 24232, 90, 791, 8141, 315, 356, 20982, 10022, 8336, 20374, 68175, 3223, 90, 27368, 8099, 25, 1049, 23, 3602, 220, 53657, 1109, 220, 605, 59, 11, 76, 41, 88, 7953, 264, 2728, 2579, 13724, 400, 89, 13244, 578, 2579, 1584, 198, 220, 72214, 279, 40944, 8141, 16997, 505, 279, 1719, 16743, 198, 220, 1646, 315, 1144, 66, 42638, 90, 451, 57, 42327, 25, 679, 15, 7966, 11281, 1530, 90, 18257, 25, 89, 12489, 534, 59, 408, 90, 18257, 633, 644, 2015, 311, 38553, 264, 26569, 10795, 315, 279, 18561, 13180, 584, 3373, 198, 543, 9063, 8336, 10007, 315, 59060, 20869, 284, 489, 605, 59, 451, 911, 3, 505, 16808, 1157, 315, 279, 198, 31912, 13792, 95803, 58974, 15668, 20902, 2982, 15064, 24507, 198, 8368, 53, 1242, 11, 59060, 9110, 284, 220, 16, 13, 19, 59836, 11, 48343, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 17, 13, 20, 59836, 11, 76, 41, 88, 280, 59, 68175, 3223, 90, 1128, 15357, 25, 2550, 23, 39942, 279, 21972, 3907, 33518, 647, 385, 15064, 69115, 1746, 59, 9110, 198, 28, 220, 23996, 59836, 11, 38592, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 30635, 1412, 25, 1049, 18, 5525, 323, 198, 1820, 2132, 16746, 33518, 647, 385, 76317, 44144, 24507, 1746, 59, 9110, 284, 220, 23996, 59836, 11, 38592, 345, 3, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 60978, 12989, 25, 1049, 22, 17041, 578, 2592, 31405, 198, 53321, 1385, 11, 1511, 311, 11294, 279, 29393, 8149, 4017, 304, 198, 59, 2784, 47852, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 2186, 527, 13240, 520, 279, 12541, 315, 198, 9739, 11900, 9736, 555, 71462, 1113, 505, 279, 49639, 2819, 323, 198, 66463, 264, 43553, 57077, 1963, 315, 59060, 7288, 284, 482, 15, 13, 22, 13244, 763, 198, 59, 2784, 47852, 90, 18257, 25, 4511, 2415, 67761, 2186, 584, 1501, 279, 13239, 40944, 198, 82816, 315, 9063, 8336, 304, 1057, 6205, 439, 264, 734, 315, 31405, 198, 70918, 4028 ]

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

[ 612, 1144, 1342, 90, 333, 11281, 452, 15511, 59, 8892, 34511, 92, 1144, 713, 80, 452, 15511, 20, 59, 25956, 2186, 91255, 220, 220, 15, 11, 612, 1144, 1342, 90, 61036, 28374, 59, 408, 90, 24857, 534, 59, 408, 90, 26378, 367, 633, 1271, 11294, 279, 3330, 17915, 27541, 369, 1855, 470, 9308, 2449, 198, 906, 4128, 4288, 10688, 369, 59060, 20892, 90, 85, 52635, 1135, 32816, 323, 400, 66, 15511, 59, 8892, 282, 32816, 505, 198, 79689, 4972, 43785, 3196, 389, 6484, 6029, 13, 763, 279, 1162, 198, 1073, 59060, 20892, 90, 85, 52635, 1135, 32816, 584, 1005, 264, 1515, 53183, 8141, 12457, 505, 264, 198, 23796, 3325, 1355, 41956, 5052, 311, 279, 6205, 8141, 505, 3766, 198, 1691, 1824, 76, 44225, 32313, 5068, 304, 279, 17649, 320, 4151, 198, 59, 2784, 47852, 90, 18257, 25, 3175, 16416, 5525, 59, 5447, 10179, 90, 32812, 369, 279, 17649, 198, 220, 6205, 315, 1584, 65511, 6982, 304, 1144, 2784, 47852, 90, 18257, 25, 3175, 16416, 92, 512, 220, 1144, 66, 42638, 9, 90, 6971, 62247, 25, 1049, 16, 11308, 1144, 66, 42638, 9, 90, 9028, 58268, 25, 2550, 18, 2499, 220, 1144, 66, 42638, 9, 90, 1163, 833, 278, 324, 25, 2550, 24, 11308, 1144, 66, 42638, 90, 1163, 833, 278, 324, 25, 1049, 15, 11, 13182, 6713, 25, 1049, 22, 65, 345, 262, 17200, 25, 4468, 23, 11, 82747, 25, 679, 17, 11, 74798, 25, 1049, 24, 11, 74798, 25, 679, 17, 11, 74798, 25, 679, 18, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 65, 44754, 276, 1247, 277, 25, 1049, 18, 65, 11308, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 16, 66, 345, 262, 31663, 1247, 277, 25, 1049, 21, 11, 31663, 1247, 277, 25, 1049, 24, 64, 11, 31663, 1247, 277, 25, 679, 18, 11, 31663, 1247, 277, 25, 679, 19, 64, 2499, 220, 1144, 66, 42638, 90, 42, 276, 1247, 277, 25, 1049, 18, 64, 2186, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 1049, 22, 2499, 220, 1144, 66, 42638, 9, 90, 42, 276, 1247, 277, 25, 679, 19, 65, 11308, 1144, 66, 42638, 90, 27109, 25, 1049, 16, 11, 35393, 616, 25, 2550, 21, 11, 4356, 25, 1049, 22, 345, 262, 1901, 10196, 276, 25, 679, 20, 7966, 2186, 26619, 430, 420, 12722, 16964, 279, 837, 198, 82816, 369, 279, 7187, 315, 34075, 2170, 13, 4452, 11, 2167, 19179, 198, 1073, 279, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 8331, 374, 12207, 810, 198, 13798, 3951, 323, 779, 369, 279, 10096, 315, 420, 990, 584, 4128, 4288, 10688, 198, 66463, 264, 14113, 8141, 1990, 220, 15, 323, 220, 16, 13, 763, 198, 59, 2784, 47852, 90, 18257, 49131, 869, 34210, 16416, 2186, 584, 1501, 264, 12593, 1990, 420, 198, 395, 61674, 323, 279, 6205, 8141, 13240, 555, 198, 59, 68175, 90, 42, 276, 1247, 277, 25, 679, 19, 64, 92, 505, 872, 1925, 6205, 315, 220, 1806, 934, 300, 1590, 13, 31663, 1247, 277, 1880, 198, 278, 13, 1511, 61322, 8768, 39975, 32758, 311, 6767, 279, 19983, 315, 2860, 198, 447, 68038, 31405, 17915, 13282, 2949, 279, 6332, 11, 902, 574, 1243, 1511, 439, 198, 64, 13594, 369, 279, 18702, 8331, 13, 3296, 15691, 704, 264, 1403, 2442, 5805, 198, 42, 337, 76, 540, 269, 869, 6354, 20531, 39142, 320, 41549, 8, 1296, 315, 279, 31178, 430, 279, 31663, 1247, 277, 1880, 198, 278, 13, 828, 527, 13263, 449, 1057, 19655, 14113, 8141, 11, 584, 1505, 198, 9210, 420, 31178, 374, 18010, 520, 279, 220, 15, 13, 2304, 2237, 11, 719, 539, 520, 279, 198, 15, 13, 1721, 2237, 320, 576, 15632, 374, 30801, 555, 279, 7251, 1791, 488, 315, 934, 300, 1590, 304, 279, 198, 13925, 449, 400, 66, 15511, 59, 8892, 282, 92, 1144, 645, 784, 318, 220, 15, 13, 17, 3, 570, 1102, 374, 9093, 3284, 430, 198, 1820, 7187, 8141, 315, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 18702, 9547, 1253, 198, 3667, 6629, 14738, 505, 279, 14113, 8141, 19655, 304, 420, 198, 1816, 13, 1226, 4358, 279, 25127, 315, 420, 4726, 304, 198, 59, 2784, 47852, 90, 2879, 25, 93013, 19100, 92, 382, 59, 2879, 90, 32, 220, 1691, 59, 11, 6358, 44225, 10795, 449, 198, 220, 5871, 42, 2599, 11281, 1530, 90, 2879, 25, 543, 646, 8050, 89445, 633, 1687, 1005, 279, 13673, 15992, 38988, 4512, 265, 2982, 85281, 320, 7536, 2599, 280, 59, 68175, 3223, 90, 13379, 7876, 25, 1049, 22, 5525, 439, 264, 1162, 4007, 311, 20461, 279, 3685, 198, 8234, 505, 13205, 7029, 19677, 32313, 369, 220, 1691, 59, 11, 6358, 44225, 198, 2069, 1326, 13, 279, 5871, 42, 2599, 5629, 20902, 22855, 66181, 24507, 304, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 3500, 40614, 60765, 1565, 1880, 453, 2637, 279, 95816, 42, 835, 22855, 66181, 7228, 24507, 1198, 74798, 1880, 453, 2637, 323, 198, 1820, 7694, 369, 34511, 44225, 449, 362, 716, 51, 2843, 1198, 79160, 15719, 1880, 453, 36434, 5871, 42, 2599, 198, 285, 5131, 47397, 12396, 287, 13, 38091, 8838, 15204, 1512, 24654, 198, 4291, 279, 12894, 91674, 17005, 3475, 2982, 20374, 68175, 3223, 90, 20780, 276, 25, 679, 19, 5525, 617, 198, 46584, 1027, 1511, 311, 7946, 11388, 264, 502, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 3518, 269, 655, 5938, 449, 264, 35977, 3995, 9063, 34261, 520, 400, 89, 284, 220, 15, 13, 2096, 26101, 11781, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 17041, 5810, 584, 7168, 279, 15632, 315, 264, 3938, 198, 17, 59, 11, 71, 17453, 16983, 287, 10795, 315, 279, 4553, 18561, 13180, 1746, 59, 20869, 1144, 273, 80, 198, 10, 605, 59, 451, 911, 3, 8, 1701, 279, 2539, 220, 1927, 12, 519, 15299, 5871, 42, 2599, 304, 264, 3254, 220, 12166, 59, 11, 38592, 7200, 198, 42967, 220, 22375, 13, 20, 323, 220, 4645, 20, 13, 20, 59, 11, 38592, 11, 13890, 311, 1144, 76, 2054, 90, 39, 59, 28937, 59, 2445, 602, 11498, 1171, 13724, 82, 1990, 400, 89, 284, 220, 15, 13, 19, 3, 323, 220, 16, 13, 15, 382, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 4511, 2415, 67761, 16378, 534, 59, 24232, 90, 791, 1396, 315, 9063, 8336, 304, 1057, 46836, 18561, 13180, 198, 220, 10795, 1746, 59, 20869, 1144, 273, 80, 489, 605, 59, 451, 911, 3, 8, 13240, 505, 6484, 16808, 1157, 198, 220, 520, 400, 43, 3, 12, 7198, 34873, 320, 4151, 279, 1495, 369, 3649, 570, 578, 20366, 5654, 198, 220, 3289, 50441, 279, 3685, 1396, 4028, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 5871, 42, 2599, 198, 220, 11900, 7200, 11, 26619, 264, 43553, 57077, 1963, 315, 59060, 7288, 4125, 220, 482, 15, 13, 22, 13244, 11281, 1530, 90, 18257, 25, 4511, 2415, 67761, 534, 59, 408, 90, 18257, 633, 8140, 17078, 315, 279, 5871, 42, 2599, 5178, 527, 3196, 389, 33269, 198, 48899, 1392, 555, 1144, 68175, 90, 1163, 2877, 70160, 25, 679, 20, 92, 1701, 279, 25018, 4488, 29252, 2445, 198, 220, 8105, 92, 10474, 1358, 5510, 13, 1226, 16430, 279, 12248, 824, 57077, 5613, 198, 985, 279, 12164, 21037, 24524, 198, 59, 7413, 90, 26378, 367, 534, 220, 1144, 25956, 15511, 59, 8892, 27114, 92, 284, 220, 314, 50, 15511, 59, 8892, 1887, 92, 1144, 2017, 1144, 27986, 92462, 15511, 59, 8892, 1499, 11281, 11, 77, 15511, 59, 8892, 3276, 11281, 13247, 77, 15511, 59, 8892, 3276, 92, 482, 220, 16, 10929, 27362, 20892, 90, 83, 52635, 59, 8892, 304, 11281, 27362, 20892, 36802, 9110, 52635, 59, 8892, 27114, 3500, 2186, 720, 59, 408, 90, 26378, 367, 534, 2940, 400, 50, 15511, 59, 8892, 1887, 32816, 374, 279, 1887, 13890, 31405, 17915, 11, 400, 77, 15511, 59, 8892, 198, 220, 1499, 32816, 374, 279, 1396, 315, 25685, 8200, 11, 400, 77, 15511, 59, 8892, 3276, 32816, 374, 279, 1396, 315, 198, 519, 2734, 300, 11, 59060, 20892, 90, 83, 52635, 59, 8892, 304, 32816, 374, 279, 389, 31874, 18052, 892, 323, 198, 59836, 20892, 36802, 9110, 52635, 59, 8892, 27114, 32816, 374, 279, 57077, 11175, 304, 11900, 13, 578, 198, 82, 48937, 315, 279, 56925, 304, 279, 220, 22375, 13, 20, 482, 220, 4645, 20, 13, 20, 59, 11, 38592, 7200, 374, 198, 7475, 311, 13592, 1990, 400, 50, 15511, 59, 8892, 1887, 92, 1144, 49153, 220, 9588, 15, 3, 323, 400, 1049, 15, 59836, 11, 41, 88, 345, 4291, 279, 7928, 2349, 304, 27541, 1990, 220, 7007, 323, 220, 4728, 59, 11, 38592, 13, 5871, 42, 2599, 198, 4752, 19091, 13790, 83245, 35496, 11, 220, 1927, 87851, 323, 264, 7060, 4141, 6201, 198, 9210, 19159, 220, 845, 59, 11, 17763, 9678, 12006, 4028, 279, 2539, 220, 12166, 59, 11, 38592, 198, 7198, 3175, 11, 779, 279, 3685, 12248, 824, 220, 972, 13, 20, 59, 11, 62856, 5613, 304, 264, 220, 17, 59, 11, 71, 198, 79060, 374, 13489, 220, 20, 13, 20, 482, 220, 18, 13, 20, 59, 11, 76, 41, 88, 59, 11, 54971, 3, 88310, 16, 32816, 4028, 279, 198, 7198, 13, 763, 279, 1162, 315, 459, 5150, 10795, 11, 279, 837, 27541, 690, 315, 198, 12120, 387, 12715, 304, 279, 57077, 828, 439, 264, 734, 315, 2579, 13724, 320, 4151, 198, 68, 1326, 13, 1144, 68175, 3223, 90, 2460, 3416, 25, 679, 20, 64, 39942, 719, 369, 279, 10096, 315, 279, 46836, 198, 48554, 10666, 304, 420, 990, 584, 6859, 279, 7200, 1139, 3892, 11900, 198, 40430, 311, 12602, 279, 23851, 304, 27541, 323, 15798, 11175, 198, 83894, 374, 304, 279, 2134, 220, 22, 13, 23, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 22375, 13, 20, 59, 11, 38592, 311, 198, 20, 13, 20, 59, 11, 16400, 59, 11, 82, 3, 88310, 16, 32816, 520, 220, 4645, 20, 13, 20, 59, 11, 38592, 3677, 59, 7413, 90, 18257, 534, 59, 3133, 287, 198, 59, 1012, 32785, 58, 3175, 28, 15, 13, 19799, 59, 1342, 3175, 15731, 89, 12489, 16378, 534, 59, 24232, 90, 791, 8141, 315, 356, 20982, 10022, 8336, 20374, 68175, 3223, 90, 27368, 8099, 25, 1049, 23, 3602, 220, 53657, 1109, 220, 605, 59, 11, 76, 41, 88, 7953, 264, 2728, 2579, 13724, 400, 89, 13244, 578, 2579, 1584, 198, 220, 72214, 279, 40944, 8141, 16997, 505, 279, 1719, 16743, 198, 220, 1646, 315, 1144, 66, 42638, 90, 451, 57, 42327, 25, 679, 15, 7966, 11281, 1530, 90, 18257, 25, 89, 12489, 534, 59, 408, 90, 18257, 633, 644, 2015, 311, 38553, 264, 26569, 10795, 315, 279, 18561, 13180, 584, 3373, 198, 543, 9063, 8336, 10007, 315, 59060, 20869, 284, 489, 605, 59, 451, 911, 3, 505, 16808, 1157, 315, 279, 198, 31912, 13792, 95803, 58974, 15668, 20902, 2982, 15064, 24507, 198, 8368, 53, 1242, 11, 59060, 9110, 284, 220, 16, 13, 19, 59836, 11, 48343, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 17, 13, 20, 59836, 11, 76, 41, 88, 280, 59, 68175, 3223, 90, 1128, 15357, 25, 2550, 23, 39942, 279, 21972, 3907, 33518, 647, 385, 15064, 69115, 1746, 59, 9110, 198, 28, 220, 23996, 59836, 11, 38592, 11, 400, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 30635, 1412, 25, 1049, 18, 5525, 323, 198, 1820, 2132, 16746, 33518, 647, 385, 76317, 44144, 24507, 1746, 59, 9110, 284, 220, 23996, 59836, 11, 38592, 345, 3, 50, 15511, 59, 8892, 2338, 92, 1144, 70, 376, 15124, 220, 605, 59836, 11, 76, 41, 88, 26, 1144, 68175, 3223, 90, 60978, 12989, 25, 1049, 22, 17041, 578, 2592, 31405, 198, 53321, 1385, 11, 1511, 311, 11294, 279, 29393, 8149, 4017, 304, 198, 59, 2784, 47852, 90, 26378, 367, 25, 2985, 950, 19601, 15106, 2186, 527, 13240, 520, 279, 12541, 315, 198, 9739, 11900, 9736, 555, 71462, 1113, 505, 279, 49639, 2819, 323, 198, 66463, 264, 43553, 57077, 1963, 315, 59060, 7288, 284, 482, 15, 13, 22, 13244, 763, 198, 59, 2784, 47852, 90, 18257, 25, 4511, 2415, 67761, 2186, 584, 1501, 279, 13239, 40944, 198, 82816, 315, 9063, 8336, 304, 1057, 6205, 439, 264, 734, 315, 31405, 198, 70918, 4028 ]

[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)

[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)

[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)

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

Datasets:

samihormi
/

Hllama3.1_8b_instruct_MU_RedPajama-Data-1T_reservoir_eng_tokenized_normal

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

H100_tokenized