Datasets:
skymizer
/
axolotl-tiny-set

Dataset card Viewer Files Community
Search is not available for this dataset
input_ids
sequencelengths
59
2.05k
labels
sequencelengths
59
2.05k
attention_mask
sequencelengths
59
2.05k
position_ids
sequencelengths
59
2.05k
[ 128000, 644, 31648, 11, 902, 374, 264, 56887, 1887, 11, 279, 5089, 315, 2410, 374, 279, 330, 86, 1617, 1, 902, 374, 4613, 439, 330, 606, 28068, 273, 824, 2132, 3343, 763, 279, 2326, 73348, 1887, 315, 19179, 11, 902, 374, 2536, 23283, 38638, 11, 279, 5089, 315, 2410, 374, 279, 330, 60775, 13477, 1, 902, 374, 4613, 439, 330, 13506, 4579, 2320, 3171, 824, 2132, 1, 320, 1820, 31123, 304, 420, 2317, 1694, 279, 31123, 81149, 705, 30293, 279, 50680, 374, 539, 6273, 311, 264, 41999, 20085, 320, 45807, 374, 433, 279, 24671, 315, 904, 3160, 5089, 4390, 32, 5089, 315, 19179, 374, 264, 44870, 26703, 315, 264, 7106, 12472, 11, 4613, 323, 18306, 555, 21977, 477, 555, 2383, 11, 430, 374, 1511, 439, 264, 5410, 369, 19179, 315, 279, 1890, 7106, 12472, 13, 5884, 1023, 907, 315, 279, 7106, 12472, 649, 387, 13605, 439, 264, 4382, 5361, 315, 279, 5089, 315, 19179, 627, 2520, 3187, 11, 3160, 374, 264, 7106, 12472, 13, 578, 82673, 374, 264, 5089, 315, 3160, 430, 11105, 264, 44870, 87010, 3160, 13, 3277, 584, 2019, 220, 605, 4150, 417, 320, 269, 220, 605, 76, 705, 584, 3604, 3152, 220, 605, 3115, 279, 44870, 87010, 3160, 2663, 330, 4150, 265, 23811, 791, 7419, 11, 9306, 11, 323, 15325, 1005, 315, 8316, 315, 19179, 617, 6476, 264, 16996, 3560, 304, 3823, 90031, 505, 4216, 17051, 709, 311, 420, 1938, 13, 34496, 6067, 315, 8316, 1511, 311, 387, 1633, 4279, 13, 4800, 1070, 374, 264, 3728, 5410, 11, 279, 7327, 744, 315, 36281, 320, 14137, 705, 279, 6617, 1376, 315, 279, 18767, 1887, 627, 644, 6696, 11, 14661, 323, 11193, 374, 3629, 264, 3917, 315, 52811, 19812, 11, 311, 6106, 51841, 323, 28330, 13, 578, 7327, 22555, 315, 1226, 2866, 323, 73656, 320, 33, 3378, 44, 8, 374, 51920, 449, 23391, 15603, 14113, 488, 315, 22323, 323, 872, 11917, 2968, 311, 279, 7327, 744, 315, 36281, 320, 14137, 4390, 7489, 52461, 11, 1080, 1964, 2301, 11, 477, 56887, 1253, 8464, 311, 279, 2768, 11, 512, 7489, 52461, 320, 67865, 705, 459, 10728, 3424, 315, 17301, 430, 20682, 53735, 320, 72, 1770, 13, 19502, 750, 323, 29079, 398, 6926, 8, 32317, 198, 7489, 52461, 320, 26726, 315, 19179, 705, 264, 14592, 5089, 430, 11, 369, 264, 2728, 1887, 315, 33776, 323, 369, 264, 12146, 743, 315, 2385, 8316, 11, 374, 264, 2027, 315, 13736, 315, 2385, 8316, 449, 912, 1023, 21801, 2786, 8331, 1109, 832, 198, 7489, 52461, 892, 11, 279, 892, 927, 902, 264, 17425, 1113, 12330, 320, 36046, 264, 21120, 477, 9427, 261, 24310, 8, 1253, 387, 6646, 56887, 26, 279, 892, 10074, 2949, 902, 1202, 10474, 374, 11, 389, 5578, 11, 45207, 198, 20215, 21961, 2001, 35266, 323, 16768, 11, 30206, 323, 29103, 11, 90251, 323, 80623, 2001, 9604, 264, 14177, 4717, 21685, 555, 872, 4885, 11519, 323, 12336, 13, 2468, 279, 4717, 11, 814, 6420, 279, 12579, 71086, 902, 706, 1027, 389, 279, 3754, 369, 264, 1418, 13, 22172, 35871, 872, 2849, 4641, 323, 21288, 13490, 81293, 13, 35266, 13739, 922, 15234, 44247, 12715, 304, 37355, 1306, 264, 71086, 5946, 304, 220, 5926, 18, 13, 30206, 6944, 311, 3729, 813, 10868, 11, 264, 83323, 889, 1047, 19201, 1461, 922, 10535, 6372, 505, 279, 71086, 627, 32, 97504, 1243, 13980, 13, 30206, 323, 90251, 2010, 311, 2500, 3838, 264, 2478, 10215, 3201, 2103, 706, 2410, 369, 264, 3318, 21186, 13, 4740, 2410, 374, 28101, 11, 30206, 323, 90251, 471, 11, 15691, 264, 3830, 902, 814, 1047, 1766, 520, 279, 1023, 3838, 13, 30206, 15100, 430, 568, 5602, 304, 279, 1023, 3838, 264, 14177, 2007, 743, 7041, 1093, 48301, 13, 763, 279, 3830, 527, 264, 31098, 78722, 40403, 323, 3892, 7397, 13, 578, 1912, 374, 82140, 311, 1505, 430, 1855, 6685, 706, 832, 315, 1124, 304, 433, 323, 264, 1396, 389, 279, 1203, 13, 90251, 8554, 430, 279, 6685, 315, 1461, 574, 4529, 430, 3814, 11, 4871, 279, 3838, 11, 323, 35266, 52694, 430, 279, 5219, 527, 5439, 304, 1077, 92809, 13, 128001, 128000, 791, 5652, 4984, 505, 7228, 1925, 60021, 39464, 4242, 26235, 374, 264, 20632, 449, 82822, 10255, 3341, 78, 43342, 1604, 69, 13, 33634, 889, 14333, 4242, 26235, 753, 1566, 7228, 4984, 11, 92692, 11, 374, 304, 369, 264, 4322, 1618, 13, 320, 2746, 499, 9167, 1431, 6755, 92692, 11, 358, 4250, 7079, 433, 3403, 0, 1102, 753, 6216, 704, 11, 719, 2103, 2561, 68878, 6266, 24191, 1093, 92692, 11, 35969, 97540, 374, 832, 44387, 11, 6435, 11633, 3839, 430, 27115, 29735, 5357, 927, 892, 13, 33255, 82, 315, 279, 34821, 753, 14028, 5178, 315, 279, 6710, 11, 8621, 389, 7228, 753, 3997, 11, 6445, 279, 34821, 1234, 61272, 315, 1933, 11, 10223, 927, 892, 13, 3011, 753, 5128, 1790, 1268, 420, 4731, 10578, 11, 1093, 279, 9358, 3646, 90409, 315, 264, 37512, 9509, 19354, 11, 85177, 3117, 3403, 1139, 279, 9624, 311, 539, 1524, 1304, 704, 279, 53833, 23546, 430, 7124, 813, 36692, 13, 2030, 1070, 374, 264, 6981, 304, 430, 1207, 1195, 29355, 11, 8994, 279, 8220, 3135, 1694, 10284, 40130, 1109, 4242, 26235, 753, 92692, 13, 578, 1403, 51696, 1664, 11, 6968, 264, 14297, 42028, 5222, 430, 374, 53007, 311, 14297, 1343, 4522, 505, 832, 6211, 311, 2500, 11, 264, 34076, 323, 76949, 43787, 18475, 430, 753, 14529, 13, 1789, 31706, 4661, 11622, 315, 38332, 11, 420, 374, 264, 29392, 28830, 5178, 11, 43169, 832, 430, 4442, 779, 87417, 927, 892, 430, 832, 2643, 539, 5406, 1268, 71249, 2204, 19885, 315, 279, 6710, 527, 13, 3861, 1205, 1193, 311, 7940, 2212, 311, 2204, 1212, 3115, 311, 5406, 1268, 2204, 19885, 527, 505, 3885, 13, 2030, 420, 374, 1888, 10534, 11, 315, 3388, 11, 1212, 311, 6381, 11, 52754, 539, 927, 83360, 433, 323, 1120, 20806, 433, 54285, 499, 11, 4737, 499, 311, 2500, 2035, 11, 6453, 11, 40146, 323, 8369, 627, 128001, 128000, 791, 653, 575, 354, 2335, 19646, 2849, 11, 1054, 82, 19245, 863, 311, 89357, 98643, 78, 3978, 258, 11, 6835, 555, 13096, 264, 463, 727, 93210, 64417, 323, 264, 502, 19646, 2849, 304, 2015, 311, 10519, 4725, 8312, 315, 279, 7917, 304, 279, 17685, 83748, 627, 791, 39975, 315, 15922, 323, 41214, 304, 279, 463, 727, 93210, 64417, 10474, 374, 38617, 198, 644, 31484, 14559, 315, 1521, 7917, 11, 41214, 527, 14454, 5995, 369, 279, 39975, 315, 28896, 320, 60026, 258, 323, 49242, 8, 389, 99919, 20969, 315, 279, 9693, 99705, 10753, 315, 89357, 93210, 64417, 627, 1360, 727, 93210, 64417, 753, 9693, 99705, 10753, 706, 264, 2763, 315, 58139, 85986, 323, 55042, 4298, 627, 35353, 3392, 315, 41214, 6835, 12742, 3122, 98635, 292, 11341, 311, 279, 9693, 99705, 10753, 627, 95943, 521, 304, 279, 41214, 39975, 3135, 304, 279, 2349, 315, 279, 9693, 99705, 10753, 1933, 505, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 311, 13935, 98635, 292, 89357, 93210, 64417, 627, 644, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 279, 62607, 374, 1633, 2678, 13, 578, 39975, 315, 17728, 94855, 12992, 13, 29042, 85986, 15783, 24031, 439, 73357, 1814, 258, 627, 6153, 50802, 315, 279, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 1139, 13935, 98635, 292, 89357, 93210, 64417, 11, 1070, 374, 912, 5568, 10934, 904, 810, 627, 11916, 307, 98635, 292, 89357, 93210, 2067, 12019, 617, 12742, 10532, 1962, 292, 97192, 13, 11205, 13935, 98635, 292, 9693, 99705, 10753, 706, 1193, 1063, 1262, 2444, 645, 320, 1936, 58375, 323, 55042, 4298, 570, 2468, 420, 6566, 11, 279, 6925, 39422, 315, 15922, 323, 41214, 3009, 11, 323, 13935, 98635, 292, 89357, 93210, 2067, 12019, 4250, 22497, 904, 810, 13, 15668, 4461, 279, 17728, 94855, 11384, 279, 61478, 315, 279, 62607, 5820, 13, 3277, 17728, 94855, 25501, 264, 3738, 20545, 304, 279, 9693, 99705, 10753, 11, 433, 35292, 311, 279, 62607, 323, 58585, 311, 31484, 2319, 380, 3233, 11, 8617, 304, 9035, 1113, 279, 83181, 13, 31909, 11, 1579, 20545, 315, 17728, 94855, 649, 1101, 304, 17281, 89357, 98643, 78, 3978, 258, 13, 128001 ]
[ -100, 644, 31648, 11, 902, 374, 264, 56887, 1887, 11, 279, 5089, 315, 2410, 374, 279, 330, 86, 1617, 1, 902, 374, 4613, 439, 330, 606, 28068, 273, 824, 2132, 3343, 763, 279, 2326, 73348, 1887, 315, 19179, 11, 902, 374, 2536, 23283, 38638, 11, 279, 5089, 315, 2410, 374, 279, 330, 60775, 13477, 1, 902, 374, 4613, 439, 330, 13506, 4579, 2320, 3171, 824, 2132, 1, 320, 1820, 31123, 304, 420, 2317, 1694, 279, 31123, 81149, 705, 30293, 279, 50680, 374, 539, 6273, 311, 264, 41999, 20085, 320, 45807, 374, 433, 279, 24671, 315, 904, 3160, 5089, 4390, 32, 5089, 315, 19179, 374, 264, 44870, 26703, 315, 264, 7106, 12472, 11, 4613, 323, 18306, 555, 21977, 477, 555, 2383, 11, 430, 374, 1511, 439, 264, 5410, 369, 19179, 315, 279, 1890, 7106, 12472, 13, 5884, 1023, 907, 315, 279, 7106, 12472, 649, 387, 13605, 439, 264, 4382, 5361, 315, 279, 5089, 315, 19179, 627, 2520, 3187, 11, 3160, 374, 264, 7106, 12472, 13, 578, 82673, 374, 264, 5089, 315, 3160, 430, 11105, 264, 44870, 87010, 3160, 13, 3277, 584, 2019, 220, 605, 4150, 417, 320, 269, 220, 605, 76, 705, 584, 3604, 3152, 220, 605, 3115, 279, 44870, 87010, 3160, 2663, 330, 4150, 265, 23811, 791, 7419, 11, 9306, 11, 323, 15325, 1005, 315, 8316, 315, 19179, 617, 6476, 264, 16996, 3560, 304, 3823, 90031, 505, 4216, 17051, 709, 311, 420, 1938, 13, 34496, 6067, 315, 8316, 1511, 311, 387, 1633, 4279, 13, 4800, 1070, 374, 264, 3728, 5410, 11, 279, 7327, 744, 315, 36281, 320, 14137, 705, 279, 6617, 1376, 315, 279, 18767, 1887, 627, 644, 6696, 11, 14661, 323, 11193, 374, 3629, 264, 3917, 315, 52811, 19812, 11, 311, 6106, 51841, 323, 28330, 13, 578, 7327, 22555, 315, 1226, 2866, 323, 73656, 320, 33, 3378, 44, 8, 374, 51920, 449, 23391, 15603, 14113, 488, 315, 22323, 323, 872, 11917, 2968, 311, 279, 7327, 744, 315, 36281, 320, 14137, 4390, 7489, 52461, 11, 1080, 1964, 2301, 11, 477, 56887, 1253, 8464, 311, 279, 2768, 11, 512, 7489, 52461, 320, 67865, 705, 459, 10728, 3424, 315, 17301, 430, 20682, 53735, 320, 72, 1770, 13, 19502, 750, 323, 29079, 398, 6926, 8, 32317, 198, 7489, 52461, 320, 26726, 315, 19179, 705, 264, 14592, 5089, 430, 11, 369, 264, 2728, 1887, 315, 33776, 323, 369, 264, 12146, 743, 315, 2385, 8316, 11, 374, 264, 2027, 315, 13736, 315, 2385, 8316, 449, 912, 1023, 21801, 2786, 8331, 1109, 832, 198, 7489, 52461, 892, 11, 279, 892, 927, 902, 264, 17425, 1113, 12330, 320, 36046, 264, 21120, 477, 9427, 261, 24310, 8, 1253, 387, 6646, 56887, 26, 279, 892, 10074, 2949, 902, 1202, 10474, 374, 11, 389, 5578, 11, 45207, 198, 20215, 21961, 2001, 35266, 323, 16768, 11, 30206, 323, 29103, 11, 90251, 323, 80623, 2001, 9604, 264, 14177, 4717, 21685, 555, 872, 4885, 11519, 323, 12336, 13, 2468, 279, 4717, 11, 814, 6420, 279, 12579, 71086, 902, 706, 1027, 389, 279, 3754, 369, 264, 1418, 13, 22172, 35871, 872, 2849, 4641, 323, 21288, 13490, 81293, 13, 35266, 13739, 922, 15234, 44247, 12715, 304, 37355, 1306, 264, 71086, 5946, 304, 220, 5926, 18, 13, 30206, 6944, 311, 3729, 813, 10868, 11, 264, 83323, 889, 1047, 19201, 1461, 922, 10535, 6372, 505, 279, 71086, 627, 32, 97504, 1243, 13980, 13, 30206, 323, 90251, 2010, 311, 2500, 3838, 264, 2478, 10215, 3201, 2103, 706, 2410, 369, 264, 3318, 21186, 13, 4740, 2410, 374, 28101, 11, 30206, 323, 90251, 471, 11, 15691, 264, 3830, 902, 814, 1047, 1766, 520, 279, 1023, 3838, 13, 30206, 15100, 430, 568, 5602, 304, 279, 1023, 3838, 264, 14177, 2007, 743, 7041, 1093, 48301, 13, 763, 279, 3830, 527, 264, 31098, 78722, 40403, 323, 3892, 7397, 13, 578, 1912, 374, 82140, 311, 1505, 430, 1855, 6685, 706, 832, 315, 1124, 304, 433, 323, 264, 1396, 389, 279, 1203, 13, 90251, 8554, 430, 279, 6685, 315, 1461, 574, 4529, 430, 3814, 11, 4871, 279, 3838, 11, 323, 35266, 52694, 430, 279, 5219, 527, 5439, 304, 1077, 92809, 13, 128001, -100, 791, 5652, 4984, 505, 7228, 1925, 60021, 39464, 4242, 26235, 374, 264, 20632, 449, 82822, 10255, 3341, 78, 43342, 1604, 69, 13, 33634, 889, 14333, 4242, 26235, 753, 1566, 7228, 4984, 11, 92692, 11, 374, 304, 369, 264, 4322, 1618, 13, 320, 2746, 499, 9167, 1431, 6755, 92692, 11, 358, 4250, 7079, 433, 3403, 0, 1102, 753, 6216, 704, 11, 719, 2103, 2561, 68878, 6266, 24191, 1093, 92692, 11, 35969, 97540, 374, 832, 44387, 11, 6435, 11633, 3839, 430, 27115, 29735, 5357, 927, 892, 13, 33255, 82, 315, 279, 34821, 753, 14028, 5178, 315, 279, 6710, 11, 8621, 389, 7228, 753, 3997, 11, 6445, 279, 34821, 1234, 61272, 315, 1933, 11, 10223, 927, 892, 13, 3011, 753, 5128, 1790, 1268, 420, 4731, 10578, 11, 1093, 279, 9358, 3646, 90409, 315, 264, 37512, 9509, 19354, 11, 85177, 3117, 3403, 1139, 279, 9624, 311, 539, 1524, 1304, 704, 279, 53833, 23546, 430, 7124, 813, 36692, 13, 2030, 1070, 374, 264, 6981, 304, 430, 1207, 1195, 29355, 11, 8994, 279, 8220, 3135, 1694, 10284, 40130, 1109, 4242, 26235, 753, 92692, 13, 578, 1403, 51696, 1664, 11, 6968, 264, 14297, 42028, 5222, 430, 374, 53007, 311, 14297, 1343, 4522, 505, 832, 6211, 311, 2500, 11, 264, 34076, 323, 76949, 43787, 18475, 430, 753, 14529, 13, 1789, 31706, 4661, 11622, 315, 38332, 11, 420, 374, 264, 29392, 28830, 5178, 11, 43169, 832, 430, 4442, 779, 87417, 927, 892, 430, 832, 2643, 539, 5406, 1268, 71249, 2204, 19885, 315, 279, 6710, 527, 13, 3861, 1205, 1193, 311, 7940, 2212, 311, 2204, 1212, 3115, 311, 5406, 1268, 2204, 19885, 527, 505, 3885, 13, 2030, 420, 374, 1888, 10534, 11, 315, 3388, 11, 1212, 311, 6381, 11, 52754, 539, 927, 83360, 433, 323, 1120, 20806, 433, 54285, 499, 11, 4737, 499, 311, 2500, 2035, 11, 6453, 11, 40146, 323, 8369, 627, 128001, -100, 791, 653, 575, 354, 2335, 19646, 2849, 11, 1054, 82, 19245, 863, 311, 89357, 98643, 78, 3978, 258, 11, 6835, 555, 13096, 264, 463, 727, 93210, 64417, 323, 264, 502, 19646, 2849, 304, 2015, 311, 10519, 4725, 8312, 315, 279, 7917, 304, 279, 17685, 83748, 627, 791, 39975, 315, 15922, 323, 41214, 304, 279, 463, 727, 93210, 64417, 10474, 374, 38617, 198, 644, 31484, 14559, 315, 1521, 7917, 11, 41214, 527, 14454, 5995, 369, 279, 39975, 315, 28896, 320, 60026, 258, 323, 49242, 8, 389, 99919, 20969, 315, 279, 9693, 99705, 10753, 315, 89357, 93210, 64417, 627, 1360, 727, 93210, 64417, 753, 9693, 99705, 10753, 706, 264, 2763, 315, 58139, 85986, 323, 55042, 4298, 627, 35353, 3392, 315, 41214, 6835, 12742, 3122, 98635, 292, 11341, 311, 279, 9693, 99705, 10753, 627, 95943, 521, 304, 279, 41214, 39975, 3135, 304, 279, 2349, 315, 279, 9693, 99705, 10753, 1933, 505, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 311, 13935, 98635, 292, 89357, 93210, 64417, 627, 644, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 279, 62607, 374, 1633, 2678, 13, 578, 39975, 315, 17728, 94855, 12992, 13, 29042, 85986, 15783, 24031, 439, 73357, 1814, 258, 627, 6153, 50802, 315, 279, 1499, 5759, 442, 266, 98635, 292, 89357, 93210, 64417, 1139, 13935, 98635, 292, 89357, 93210, 64417, 11, 1070, 374, 912, 5568, 10934, 904, 810, 627, 11916, 307, 98635, 292, 89357, 93210, 2067, 12019, 617, 12742, 10532, 1962, 292, 97192, 13, 11205, 13935, 98635, 292, 9693, 99705, 10753, 706, 1193, 1063, 1262, 2444, 645, 320, 1936, 58375, 323, 55042, 4298, 570, 2468, 420, 6566, 11, 279, 6925, 39422, 315, 15922, 323, 41214, 3009, 11, 323, 13935, 98635, 292, 89357, 93210, 2067, 12019, 4250, 22497, 904, 810, 13, 15668, 4461, 279, 17728, 94855, 11384, 279, 61478, 315, 279, 62607, 5820, 13, 3277, 17728, 94855, 25501, 264, 3738, 20545, 304, 279, 9693, 99705, 10753, 11, 433, 35292, 311, 279, 62607, 323, 58585, 311, 31484, 2319, 380, 3233, 11, 8617, 304, 9035, 1113, 279, 83181, 13, 31909, 11, 1579, 20545, 315, 17728, 94855, 649, 1101, 304, 17281, 89357, 98643, 78, 3978, 258, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351 ]
[ 128000, 57, 4168, 5230, 16964, 1124, 439, 1093, 279, 350, 2234, 4881, 11, 449, 68461, 19689, 11, 12314, 23726, 11, 2697, 48788, 323, 3776, 11, 2653, 7013, 627, 791, 549, 3545, 12, 27108, 2192, 598, 6824, 92381, 315, 8877, 9509, 51, 44958, 11, 44539, 3145, 11, 350, 2234, 4881, 11, 58953, 39503, 323, 8388, 2303, 59626, 627, 791, 350, 2234, 4881, 320, 77, 22928, 220, 2031, 11, 931, 8, 48678, 439, 872, 23330, 12, 63211, 459, 38883, 5654, 389, 279, 1579, 65388, 323, 1202, 60108, 311, 279, 3383, 324, 11, 719, 872, 13693, 527, 45370, 10671, 810, 323, 810, 4319, 6370, 17890, 2225, 555, 8690, 6761, 1773, 22099, 323, 555, 71968, 332, 61107, 627, 644, 220, 6330, 22, 12, 10718, 15, 279, 350, 2234, 4881, 21095, 93319, 66735, 369, 872, 24589, 11, 719, 1051, 93519, 922, 220, 10674, 18, 627, 4054, 374, 9932, 304, 279, 3008, 1147, 315, 5734, 1403, 24552, 1603, 1057, 11639, 11, 1990, 279, 39543, 315, 279, 473, 11099, 304, 279, 9909, 323, 1884, 315, 279, 350, 2234, 4881, 304, 40344, 561, 482, 264, 13057, 3158, 315, 1063, 220, 3101, 311, 220, 3443, 296, 2637, 389, 279, 14329, 4850, 315, 902, 279, 1403, 32538, 8774, 3821, 627, 4438, 1053, 499, 7124, 85307, 4881, 30, 2758, 701, 7419, 1618, 13, 128001, 128000, 32, 2115, 10739, 481, 11, 11716, 481, 1891, 536, 21120, 44225, 66425, 51856, 320, 51, 16931, 1950, 8, 3756, 24722, 34356, 311, 264, 6857, 315, 220, 717, 13, 20, 1, 97982, 1216, 30653, 2171, 3675, 78513, 19031, 574, 1511, 311, 4007, 45475, 54743, 369, 1825, 1853, 29416, 315, 220, 1041, 296, 311, 220, 16, 11, 931, 296, 311, 16430, 45475, 18874, 520, 1401, 5234, 12634, 40708, 320, 51812, 8, 93959, 13, 578, 62275, 320, 42, 8, 2373, 315, 279, 7923, 536, 34826, 291, 1708, 74, 8115, 40708, 320, 10510, 984, 8, 27149, 304, 1990, 1403, 315, 279, 17676, 24463, 92371, 4519, 304, 279, 30950, 323, 279, 62817, 23962, 13, 4220, 21896, 1051, 10887, 304, 279, 53851, 315, 31206, 24463, 1630, 18, 100410, 2427, 311, 293, 16, 100410, 10, 70, 14683, 9320, 5238, 3221, 279, 62275, 41353, 1584, 520, 220, 20772, 26807, 13, 4497, 1109, 220, 1135, 92371, 5238, 304, 279, 31206, 24463, 362, 68775, 1630, 18, 100410, 2427, 311, 293, 16, 100410, 10, 70, 9320, 3221, 220, 19104, 26807, 1051, 13468, 13, 75783, 2859, 1051, 11075, 505, 279, 47047, 89, 18022, 92371, 8141, 311, 2949, 220, 16, 13, 18, 4, 320, 1752, 1109, 220, 17, 735, 570, 87669, 20545, 574, 12457, 505, 279, 18751, 57077, 3158, 315, 279, 44225, 4519, 311, 2949, 220, 16, 13, 21, 4, 320, 1752, 1109, 220, 15, 13, 2371, 865, 220, 4645, 23, 35715, 611, 10166, 18, 570, 40090, 574, 11075, 29235, 505, 279, 7410, 1481, 8714, 6901, 29179, 18400, 5238, 71, 9521, 311, 2949, 220, 605, 126437, 49, 560, 11, 26035, 362, 2637, 330, 34976, 18413, 315, 7923, 536, 34826, 291, 1708, 74, 8115, 40708, 87597, 48125, 12362, 28556, 481, 7923, 536, 40708, 22855, 66181, 27726, 299, 51856, 1, 320, 679, 17, 570, 666, 84836, 323, 52132, 531, 811, 13, 220, 21322, 13, 128001, 128000, 791, 75887, 329, 462, 34445, 816, 30636, 10018, 48762, 939, 8318, 29853, 300, 318, 4317, 4593, 27322, 19176, 374, 264, 393, 3581, 64, 29853, 300, 318, 4317, 735, 939, 295, 2453, 31183, 304, 75887, 329, 462, 11, 87589, 587, 543, 84, 11, 30511, 6885, 19870, 79, 1955, 11, 80409, 11182, 9522, 44, 454, 579, 10176, 19176, 9538, 826, 25, 29084, 25, 220, 20, 25, 966, 6912, 311, 220, 16, 25, 410, 5975, 57202, 25, 220, 19, 25, 410, 5975, 311, 220, 23, 25, 410, 5975, 386, 454, 579, 10176, 19176, 13690, 393, 2689, 30826, 25, 393, 3581, 64, 14433, 277, 67631, 11, 523, 589, 80627, 4752, 86, 561, 6151, 1389, 220, 2705, 9522, 44653, 393, 2689, 30826, 386, 454, 579, 10176, 19176, 25, 16566, 3852, 15790, 14874, 85, 13637, 48538, 51205, 26301, 92180, 309, 320, 2520, 220, 17, 63030, 1680, 19766, 13, 20571, 24572, 3765, 26301, 92180, 309, 1389, 31494, 3765, 71, 1082, 4657, 24789, 391, 309, 320, 2520, 220, 17, 63030, 1680, 19766, 13, 1041, 14, 9522, 51, 404, 372, 278, 351, 21336, 19176, 15367, 83227, 9538, 826, 25, 220, 21, 25, 410, 6912, 311, 220, 24, 25, 410, 6912, 323, 220, 19, 25, 410, 5975, 311, 220, 21, 25, 410, 5975, 83655, 372, 278, 351, 21336, 18732, 74, 988, 86, 5169, 4593, 10830, 1369, 4378, 611, 393, 2689, 5697, 29497, 8650, 26855, 25, 220, 16, 8, 3765, 26301, 92180, 309, 9522, 50, 462, 83655, 455, 266, 43008, 374, 83078, 6586, 304, 34445, 83655, 455, 266, 13400, 3383, 119958, 2850, 19176, 11, 13597, 773, 3581, 575, 1098, 84, 11, 439, 279, 2217, 315, 1054, 2059, 10114, 72, 11453, 3005, 89194, 13053, 9373, 29600, 315, 9522, 50, 462, 18732, 74, 988, 86, 5169, 4593, 27322, 19176, 374, 7559, 389, 264, 2678, 24898, 520, 83655, 372, 278, 351, 21336, 304, 30511, 6885, 19870, 7005, 11, 80409, 11182, 11, 1628, 73010, 43458, 13, 30511, 6885, 19870, 7005, 374, 220, 2075, 13437, 505, 79127, 352, 675, 2649, 9522, 44, 454, 579, 10176, 19176, 386, 454, 579, 10176, 19176, 374, 11495, 369, 9576, 1752, 90250, 369, 9576, 28813, 11, 13951, 6733, 58020, 4317, 452, 57498, 3444, 393, 2689, 5697, 11, 1556, 391, 589, 7911, 58020, 4317, 393, 2689, 5697, 323, 452, 12748, 2394, 3689, 76909, 393, 2689, 30826, 13, 763, 9522, 60300, 277, 352, 391, 22317, 34445, 79763, 72, 1611, 4378, 7304, 8388, 774, 64, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 477, 452, 1154, 86, 5169, 4593, 27322, 27850, 477, 34445, 3804, 2453, 25041, 4593, 27322, 19176, 374, 7559, 304, 11070, 277, 352, 391, 22317, 9522, 44, 454, 579, 10176, 10425, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 9538, 826, 25, 29084, 25, 220, 20, 25, 966, 6912, 311, 220, 16, 25, 410, 5975, 57202, 25, 220, 19, 25, 410, 5975, 311, 220, 23, 25, 410, 5975, 10180, 386, 454, 579, 10176, 10425, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 25, 1131, 128001 ]
[ -100, 57, 4168, 5230, 16964, 1124, 439, 1093, 279, 350, 2234, 4881, 11, 449, 68461, 19689, 11, 12314, 23726, 11, 2697, 48788, 323, 3776, 11, 2653, 7013, 627, 791, 549, 3545, 12, 27108, 2192, 598, 6824, 92381, 315, 8877, 9509, 51, 44958, 11, 44539, 3145, 11, 350, 2234, 4881, 11, 58953, 39503, 323, 8388, 2303, 59626, 627, 791, 350, 2234, 4881, 320, 77, 22928, 220, 2031, 11, 931, 8, 48678, 439, 872, 23330, 12, 63211, 459, 38883, 5654, 389, 279, 1579, 65388, 323, 1202, 60108, 311, 279, 3383, 324, 11, 719, 872, 13693, 527, 45370, 10671, 810, 323, 810, 4319, 6370, 17890, 2225, 555, 8690, 6761, 1773, 22099, 323, 555, 71968, 332, 61107, 627, 644, 220, 6330, 22, 12, 10718, 15, 279, 350, 2234, 4881, 21095, 93319, 66735, 369, 872, 24589, 11, 719, 1051, 93519, 922, 220, 10674, 18, 627, 4054, 374, 9932, 304, 279, 3008, 1147, 315, 5734, 1403, 24552, 1603, 1057, 11639, 11, 1990, 279, 39543, 315, 279, 473, 11099, 304, 279, 9909, 323, 1884, 315, 279, 350, 2234, 4881, 304, 40344, 561, 482, 264, 13057, 3158, 315, 1063, 220, 3101, 311, 220, 3443, 296, 2637, 389, 279, 14329, 4850, 315, 902, 279, 1403, 32538, 8774, 3821, 627, 4438, 1053, 499, 7124, 85307, 4881, 30, 2758, 701, 7419, 1618, 13, 128001, -100, 32, 2115, 10739, 481, 11, 11716, 481, 1891, 536, 21120, 44225, 66425, 51856, 320, 51, 16931, 1950, 8, 3756, 24722, 34356, 311, 264, 6857, 315, 220, 717, 13, 20, 1, 97982, 1216, 30653, 2171, 3675, 78513, 19031, 574, 1511, 311, 4007, 45475, 54743, 369, 1825, 1853, 29416, 315, 220, 1041, 296, 311, 220, 16, 11, 931, 296, 311, 16430, 45475, 18874, 520, 1401, 5234, 12634, 40708, 320, 51812, 8, 93959, 13, 578, 62275, 320, 42, 8, 2373, 315, 279, 7923, 536, 34826, 291, 1708, 74, 8115, 40708, 320, 10510, 984, 8, 27149, 304, 1990, 1403, 315, 279, 17676, 24463, 92371, 4519, 304, 279, 30950, 323, 279, 62817, 23962, 13, 4220, 21896, 1051, 10887, 304, 279, 53851, 315, 31206, 24463, 1630, 18, 100410, 2427, 311, 293, 16, 100410, 10, 70, 14683, 9320, 5238, 3221, 279, 62275, 41353, 1584, 520, 220, 20772, 26807, 13, 4497, 1109, 220, 1135, 92371, 5238, 304, 279, 31206, 24463, 362, 68775, 1630, 18, 100410, 2427, 311, 293, 16, 100410, 10, 70, 9320, 3221, 220, 19104, 26807, 1051, 13468, 13, 75783, 2859, 1051, 11075, 505, 279, 47047, 89, 18022, 92371, 8141, 311, 2949, 220, 16, 13, 18, 4, 320, 1752, 1109, 220, 17, 735, 570, 87669, 20545, 574, 12457, 505, 279, 18751, 57077, 3158, 315, 279, 44225, 4519, 311, 2949, 220, 16, 13, 21, 4, 320, 1752, 1109, 220, 15, 13, 2371, 865, 220, 4645, 23, 35715, 611, 10166, 18, 570, 40090, 574, 11075, 29235, 505, 279, 7410, 1481, 8714, 6901, 29179, 18400, 5238, 71, 9521, 311, 2949, 220, 605, 126437, 49, 560, 11, 26035, 362, 2637, 330, 34976, 18413, 315, 7923, 536, 34826, 291, 1708, 74, 8115, 40708, 87597, 48125, 12362, 28556, 481, 7923, 536, 40708, 22855, 66181, 27726, 299, 51856, 1, 320, 679, 17, 570, 666, 84836, 323, 52132, 531, 811, 13, 220, 21322, 13, 128001, -100, 791, 75887, 329, 462, 34445, 816, 30636, 10018, 48762, 939, 8318, 29853, 300, 318, 4317, 4593, 27322, 19176, 374, 264, 393, 3581, 64, 29853, 300, 318, 4317, 735, 939, 295, 2453, 31183, 304, 75887, 329, 462, 11, 87589, 587, 543, 84, 11, 30511, 6885, 19870, 79, 1955, 11, 80409, 11182, 9522, 44, 454, 579, 10176, 19176, 9538, 826, 25, 29084, 25, 220, 20, 25, 966, 6912, 311, 220, 16, 25, 410, 5975, 57202, 25, 220, 19, 25, 410, 5975, 311, 220, 23, 25, 410, 5975, 386, 454, 579, 10176, 19176, 13690, 393, 2689, 30826, 25, 393, 3581, 64, 14433, 277, 67631, 11, 523, 589, 80627, 4752, 86, 561, 6151, 1389, 220, 2705, 9522, 44653, 393, 2689, 30826, 386, 454, 579, 10176, 19176, 25, 16566, 3852, 15790, 14874, 85, 13637, 48538, 51205, 26301, 92180, 309, 320, 2520, 220, 17, 63030, 1680, 19766, 13, 20571, 24572, 3765, 26301, 92180, 309, 1389, 31494, 3765, 71, 1082, 4657, 24789, 391, 309, 320, 2520, 220, 17, 63030, 1680, 19766, 13, 1041, 14, 9522, 51, 404, 372, 278, 351, 21336, 19176, 15367, 83227, 9538, 826, 25, 220, 21, 25, 410, 6912, 311, 220, 24, 25, 410, 6912, 323, 220, 19, 25, 410, 5975, 311, 220, 21, 25, 410, 5975, 83655, 372, 278, 351, 21336, 18732, 74, 988, 86, 5169, 4593, 10830, 1369, 4378, 611, 393, 2689, 5697, 29497, 8650, 26855, 25, 220, 16, 8, 3765, 26301, 92180, 309, 9522, 50, 462, 83655, 455, 266, 43008, 374, 83078, 6586, 304, 34445, 83655, 455, 266, 13400, 3383, 119958, 2850, 19176, 11, 13597, 773, 3581, 575, 1098, 84, 11, 439, 279, 2217, 315, 1054, 2059, 10114, 72, 11453, 3005, 89194, 13053, 9373, 29600, 315, 9522, 50, 462, 18732, 74, 988, 86, 5169, 4593, 27322, 19176, 374, 7559, 389, 264, 2678, 24898, 520, 83655, 372, 278, 351, 21336, 304, 30511, 6885, 19870, 7005, 11, 80409, 11182, 11, 1628, 73010, 43458, 13, 30511, 6885, 19870, 7005, 374, 220, 2075, 13437, 505, 79127, 352, 675, 2649, 9522, 44, 454, 579, 10176, 19176, 386, 454, 579, 10176, 19176, 374, 11495, 369, 9576, 1752, 90250, 369, 9576, 28813, 11, 13951, 6733, 58020, 4317, 452, 57498, 3444, 393, 2689, 5697, 11, 1556, 391, 589, 7911, 58020, 4317, 393, 2689, 5697, 323, 452, 12748, 2394, 3689, 76909, 393, 2689, 30826, 13, 763, 9522, 60300, 277, 352, 391, 22317, 34445, 79763, 72, 1611, 4378, 7304, 8388, 774, 64, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 477, 452, 1154, 86, 5169, 4593, 27322, 27850, 477, 34445, 3804, 2453, 25041, 4593, 27322, 19176, 374, 7559, 304, 11070, 277, 352, 391, 22317, 9522, 44, 454, 579, 10176, 10425, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 9538, 826, 25, 29084, 25, 220, 20, 25, 966, 6912, 311, 220, 16, 25, 410, 5975, 57202, 25, 220, 19, 25, 410, 5975, 311, 220, 23, 25, 410, 5975, 10180, 386, 454, 579, 10176, 10425, 3804, 33607, 1543, 9891, 86, 5169, 4593, 27322, 19176, 25, 1131, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486 ]
[ 128000, 23, 6790, 220, 2366, 17, 11, 622, 12173, 3065, 32, 482, 59929, 47886, 41122, 18, 323, 34250, 12434, 47886, 36194, 11755, 527, 8260, 369, 264, 3728, 38997, 389, 68386, 25793, 11, 459, 6625, 26267, 11212, 14473, 311, 2686, 279, 1005, 323, 4984, 315, 51024, 26333, 304, 24922, 323, 2212, 279, 1917, 13, 11205, 10496, 1650, 11263, 264, 502, 4007, 31720, 279, 9546, 315, 21503, 33155, 304, 24767, 11, 17614, 11, 323, 19151, 10688, 505, 13528, 675, 526, 14458, 304, 4410, 8102, 13, 578, 72614, 6773, 311, 5357, 389, 279, 14458, 315, 13528, 675, 526, 1606, 12466, 12571, 323, 2362, 69793, 527, 27724, 439, 10633, 304, 42819, 5788, 11, 902, 84496, 279, 4676, 323, 3823, 2890, 627, 644, 220, 2366, 16, 11, 11909, 3318, 369, 41122, 18, 323, 36194, 11755, 14890, 323, 30239, 24767, 10688, 505, 12571, 3709, 10670, 367, 11, 17614, 10688, 11, 323, 19335, 505, 1949, 31608, 54623, 3221, 279, 42819, 15395, 4511, 13, 578, 4007, 753, 3135, 11007, 6129, 12434, 323, 3691, 8957, 47810, 304, 13528, 675, 526, 449, 11660, 26333, 3967, 439, 26048, 17808, 83661, 430, 527, 37304, 3779, 311, 68386, 477, 33155, 430, 527, 8066, 2391, 12466, 12571, 3709, 10670, 367, 11, 1778, 439, 294, 24620, 1354, 510, 16, 27218, 791, 2237, 315, 294, 24620, 258, 47810, 315, 19335, 505, 13528, 675, 526, 374, 24059, 279, 8592, 3596, 17303, 304, 13936, 323, 31550, 510, 17, 948, 1054, 35, 24620, 258, 32466, 304, 1403, 76476, 1949, 31608, 16553, 19151, 10688, 14890, 304, 13528, 675, 526, 34908, 279, 10013, 5410, 555, 220, 6028, 323, 220, 3391, 24325, 11, 15947, 13, 35321, 5990, 315, 294, 24620, 1354, 304, 1949, 31608, 16553, 19335, 505, 13936, 1051, 13468, 1193, 304, 74656, 107559, 11, 264, 4846, 2326, 13309, 2385, 304, 23315, 52673, 555, 21372, 22725, 11, 323, 279, 6460, 622, 32005, 2423, 14458, 315, 350, 897, 6132, 11, 1405, 12466, 12571, 574, 1511, 439, 10633, 304, 80247, 5788, 13077, 2476, 1071, 4491, 13, 622, 485, 14172, 96876, 7792, 11, 6826, 10783, 315, 36194, 11755, 482, 67502, 323, 49522, 47516, 627, 39782, 682, 12466, 374, 1903, 505, 5707, 6108, 33155, 323, 26333, 430, 527, 3779, 311, 7417, 279, 3769, 596, 6012, 13, 1115, 18528, 3727, 34978, 5107, 11, 323, 927, 279, 1566, 220, 508, 1667, 1193, 220, 24, 4, 315, 12466, 12571, 706, 1027, 47658, 31550, 11, 449, 24922, 596, 7216, 11509, 520, 220, 806, 14697, 1556, 10778, 1648, 315, 1054, 2827, 16404, 863, 12466, 374, 1555, 4907, 13654, 11, 5042, 20252, 13, 5377, 20252, 323, 3709, 10670, 367, 315, 12466, 12571, 374, 24716, 11, 5423, 304, 5789, 32161, 12571, 6373, 3600, 627, 96203, 279, 1357, 2431, 26112, 278, 75311, 23747, 10554, 311, 2274, 459, 6625, 26267, 11212, 14473, 389, 12466, 25793, 304, 31536, 2629, 1624, 39776, 11, 1690, 36159, 27463, 279, 12939, 315, 28118, 2890, 25949, 323, 279, 21503, 26333, 315, 68386, 13, 578, 19775, 315, 279, 37108, 52131, 706, 30073, 505, 279, 52452, 4819, 11, 1778, 439, 12571, 6373, 11, 311, 279, 42830, 4819, 11, 1778, 439, 26991, 279, 5788, 315, 68386, 323, 49636, 21503, 26333, 1511, 304, 68386, 5788, 2476, 1364, 3779, 13, 16803, 8396, 11351, 1514, 459, 3062, 3560, 304, 7366, 279, 24345, 4741, 555, 11821, 828, 11, 14955, 11, 323, 24196, 505, 279, 5015, 627, 52125, 25, 1115, 3577, 4984, 574, 9124, 449, 279, 6020, 1862, 315, 279, 7665, 9323, 13, 11699, 2262, 374, 279, 13612, 12014, 315, 279, 36194, 11755, 10229, 323, 41122, 18, 5114, 323, 1587, 539, 14647, 8881, 279, 6325, 315, 279, 7665, 9323, 13, 578, 2447, 3451, 58460, 96201, 7935, 304, 24922, 529, 374, 7396, 555, 279, 7665, 9323, 11, 323, 555, 279, 20214, 315, 19620, 23298, 315, 279, 34250, 5545, 1234, 279, 38821, 57204, 47516, 627, 58, 17, 60, 96876, 7792, 11, 622, 485, 14172, 11, 1880, 453, 13, 330, 99162, 294, 24620, 1354, 323, 51177, 82, 304, 19335, 439, 16614, 34824, 369, 12434, 25793, 323, 3728, 52673, 6732, 323, 19075, 369, 18189, 323, 26991, 19786, 323, 14675, 1210, 86148, 2140, 8778, 1821, 220, 23, 320, 2366, 17, 1680, 220, 12375, 68, 17267, 13, 128001, 128000, 20397, 459, 37492, 315, 20046, 41078, 9497, 7411, 520, 279, 1948, 315, 279, 10165, 11, 34356, 449, 1063, 1633, 23944, 8450, 83003, 11, 279, 23733, 706, 264, 6689, 520, 2500, 1396, 832, 8244, 3820, 304, 52709, 321, 33491, 627, 33, 372, 2106, 704, 520, 279, 2144, 430, 701, 7075, 23733, 19037, 374, 11961, 520, 2162, 1306, 2500, 13548, 19794, 3280, 5380, 11649, 8850, 539, 0, 1226, 2351, 304, 279, 12314, 315, 12873, 29664, 3280, 323, 11, 369, 279, 2132, 24871, 1060, 11, 264, 23733, 28491, 58347, 706, 264, 6140, 311, 733, 1396, 832, 8244, 627, 35361, 12812, 507, 35168, 52709, 321, 33491, 706, 1027, 85305, 291, 304, 279, 3772, 555, 279, 35062, 315, 61591, 323, 16399, 11427, 519, 58627, 588, 263, 99423, 1216, 11, 719, 1455, 10165, 79306, 617, 33491, 30929, 439, 832, 315, 279, 1888, 35032, 304, 420, 5655, 10165, 538, 627, 1959, 520, 27290, 11, 2225, 30534, 4584, 2059, 352, 323, 11220, 735, 13154, 617, 33491, 439, 279, 4948, 57701, 2851, 389, 872, 20081, 10165, 21126, 320, 30998, 485, 99423, 1216, 323, 53449, 15538, 350, 52622, 16431, 28280, 570, 11995, 7752, 39396, 60112, 439, 264, 2466, 2944, 369, 3249, 33491, 374, 779, 7701, 27458, 26, 813, 5845, 311, 13270, 279, 45347, 439, 1664, 439, 6068, 1203, 304, 10401, 690, 1304, 1461, 459, 1524, 810, 15525, 9513, 369, 813, 3938, 2128, 627, 20397, 39427, 389, 33491, 596, 11509, 304, 420, 10165, 538, 11, 735, 13154, 323, 4584, 2059, 352, 733, 2204, 5627, 994, 82382, 1405, 568, 3358, 4498, 304, 3297, 596, 10165, 627, 31485, 11, 1070, 596, 279, 60112, 13189, 13, 1102, 596, 1101, 5922, 45391, 279, 4068, 922, 10508, 10548, 11, 13126, 33225, 9332, 690, 617, 311, 3663, 28933, 26181, 11157, 264, 1060, 627, 2170, 449, 4584, 2059, 352, 596, 15398, 11, 33491, 20948, 449, 279, 53791, 1053, 387, 264, 2294, 3094, 304, 4857, 264, 9232, 430, 649, 20874, 2403, 264, 13096, 430, 8603, 16386, 311, 3663, 13929, 29872, 11157, 264, 1060, 13, 1628, 1541, 956, 10894, 279, 70426, 11, 21816, 4948, 11, 527, 304, 872, 13096, 1403, 26, 21816, 33491, 1436, 387, 264, 82847, 535, 2077, 311, 279, 622, 2076, 4737, 264, 20046, 477, 311, 9299, 704, 1124, 4737, 99423, 1216, 627, 2170, 369, 1023, 3682, 3772, 28183, 11, 279, 1455, 5526, 9284, 369, 33491, 374, 279, 20005, 54439, 520, 3820, 1396, 4848, 13, 22024, 1242, 3476, 916, 596, 4946, 3320, 29973, 323, 37373, 2394, 9652, 11, 12873, 916, 596, 15469, 83725, 11, 323, 26313, 17671, 596, 1866, 11824, 735, 37180, 682, 617, 33491, 20948, 449, 279, 54439, 627, 20215, 1023, 12873, 916, 16483, 47249, 33491, 2949, 279, 1948, 42117, 25, 15274, 17200, 706, 1461, 20948, 304, 49046, 11, 1418, 35674, 7839, 48616, 323, 13678, 9259, 1518, 1461, 1694, 39056, 555, 279, 46299, 13, 6104, 2225, 24372, 323, 49046, 1436, 1005, 264, 20046, 11, 682, 2380, 16483, 22628, 279, 16399, 20282, 315, 11519, 83596, 483, 323, 82479, 37548, 439, 42535, 369, 4737, 33491, 13, 2468, 420, 1486, 304, 279, 10165, 1920, 11, 433, 596, 3719, 1633, 2867, 430, 33491, 374, 539, 16054, 3347, 33225, 9332, 520, 1396, 8254, 627, 44, 474, 374, 14224, 279, 10017, 596, 8706, 22199, 11, 719, 568, 596, 1120, 279, 7314, 304, 3878, 315, 12873, 11005, 5108, 505, 279, 23733, 627, 20215, 1023, 11537, 5144, 7222, 304, 11220, 735, 13154, 596, 7054, 12, 605, 68647, 33407, 25, 18206, 3314, 596, 423, 462, 59979, 320, 2822, 13, 220, 24, 29125, 6984, 705, 17355, 19174, 596, 11641, 74696, 27738, 320, 2822, 13, 220, 18, 19220, 705, 323, 73377, 596, 92746, 36258, 258, 320, 2822, 13, 220, 605, 5955, 4390, 7098, 9211, 1903, 264, 2763, 315, 12248, 520, 279, 16343, 555, 4401, 264, 220, 19, 13, 1627, 220, 1272, 37839, 24858, 11, 7154, 15061, 11517, 11605, 596, 16343, 3335, 11, 323, 18307, 3339, 11605, 23418, 304, 279, 1920, 627, 1548, 3358, 8659, 387, 39056, 11, 323, 690, 4461, 8854, 439, 264, 1183, 485, 263, 25518, 49978, 15302, 38665, 4584, 29778, 471, 893, 449, 1063, 5992, 389, 17193, 13, 763, 279, 3347, 4330, 64692, 279, 43641, 4401, 1203, 4183, 11299, 11, 389, 5578, 11, 7119, 279, 1203, 315, 279, 11999, 4883, 11, 719, 358, 1436, 1518, 1461, 64802, 264, 2766, 1606, 315, 813, 1404, 13, 12873, 51186, 3407, 412, 916, 7224, 1461, 439, 264, 3389, 220, 20, 339, 14, 22928, 220, 21, 339, 21691, 3820, 627, 54, 569, 374, 2500, 22199, 6832, 1404, 9711, 1461, 520, 264, 49836, 304, 279, 10165, 1920, 13, 1283, 596, 10212, 520, 220, 20, 6, 806, 1, 389, 42601, 52, 596, 3997, 11, 902, 4536, 956, 2294, 369, 264, 7296, 13, 16782, 11, 568, 596, 28448, 311, 387, 264, 2132, 12, 583, 910, 555, 12873, 51186, 3407, 412, 916, 11, 323, 433, 596, 5922, 45391, 430, 568, 1903, 459, 11341, 304, 11220, 735, 13154, 596, 68647, 33407, 1203, 304, 6790, 26, 568, 574, 37477, 4315, 10195, 5653, 26640, 520, 279, 892, 627, 81586, 11, 323, 8530, 1455, 41765, 398, 11, 374, 4846, 1283, 63670, 98491, 323, 28997, 31422, 20046, 17527, 38206, 13, 1283, 28214, 2391, 279, 6460, 61861, 94574, 1847, 11, 21939, 1403, 73557, 389, 8254, 13865, 11, 323, 1690, 617, 29440, 813, 12579, 5845, 13, 1102, 374, 5922, 27401, 430, 520, 813, 463, 1938, 11, 304, 5369, 311, 21939, 57648, 11, 568, 1101, 1550, 1063, 7296, 57648, 902, 568, 33828, 1550, 5128, 1664, 304, 13, 12873, 51186, 3407, 412, 916, 1587, 539, 2447, 38206, 311, 387, 39056, 13, 128001 ]
[ -100, 23, 6790, 220, 2366, 17, 11, 622, 12173, 3065, 32, 482, 59929, 47886, 41122, 18, 323, 34250, 12434, 47886, 36194, 11755, 527, 8260, 369, 264, 3728, 38997, 389, 68386, 25793, 11, 459, 6625, 26267, 11212, 14473, 311, 2686, 279, 1005, 323, 4984, 315, 51024, 26333, 304, 24922, 323, 2212, 279, 1917, 13, 11205, 10496, 1650, 11263, 264, 502, 4007, 31720, 279, 9546, 315, 21503, 33155, 304, 24767, 11, 17614, 11, 323, 19151, 10688, 505, 13528, 675, 526, 14458, 304, 4410, 8102, 13, 578, 72614, 6773, 311, 5357, 389, 279, 14458, 315, 13528, 675, 526, 1606, 12466, 12571, 323, 2362, 69793, 527, 27724, 439, 10633, 304, 42819, 5788, 11, 902, 84496, 279, 4676, 323, 3823, 2890, 627, 644, 220, 2366, 16, 11, 11909, 3318, 369, 41122, 18, 323, 36194, 11755, 14890, 323, 30239, 24767, 10688, 505, 12571, 3709, 10670, 367, 11, 17614, 10688, 11, 323, 19335, 505, 1949, 31608, 54623, 3221, 279, 42819, 15395, 4511, 13, 578, 4007, 753, 3135, 11007, 6129, 12434, 323, 3691, 8957, 47810, 304, 13528, 675, 526, 449, 11660, 26333, 3967, 439, 26048, 17808, 83661, 430, 527, 37304, 3779, 311, 68386, 477, 33155, 430, 527, 8066, 2391, 12466, 12571, 3709, 10670, 367, 11, 1778, 439, 294, 24620, 1354, 510, 16, 27218, 791, 2237, 315, 294, 24620, 258, 47810, 315, 19335, 505, 13528, 675, 526, 374, 24059, 279, 8592, 3596, 17303, 304, 13936, 323, 31550, 510, 17, 948, 1054, 35, 24620, 258, 32466, 304, 1403, 76476, 1949, 31608, 16553, 19151, 10688, 14890, 304, 13528, 675, 526, 34908, 279, 10013, 5410, 555, 220, 6028, 323, 220, 3391, 24325, 11, 15947, 13, 35321, 5990, 315, 294, 24620, 1354, 304, 1949, 31608, 16553, 19335, 505, 13936, 1051, 13468, 1193, 304, 74656, 107559, 11, 264, 4846, 2326, 13309, 2385, 304, 23315, 52673, 555, 21372, 22725, 11, 323, 279, 6460, 622, 32005, 2423, 14458, 315, 350, 897, 6132, 11, 1405, 12466, 12571, 574, 1511, 439, 10633, 304, 80247, 5788, 13077, 2476, 1071, 4491, 13, 622, 485, 14172, 96876, 7792, 11, 6826, 10783, 315, 36194, 11755, 482, 67502, 323, 49522, 47516, 627, 39782, 682, 12466, 374, 1903, 505, 5707, 6108, 33155, 323, 26333, 430, 527, 3779, 311, 7417, 279, 3769, 596, 6012, 13, 1115, 18528, 3727, 34978, 5107, 11, 323, 927, 279, 1566, 220, 508, 1667, 1193, 220, 24, 4, 315, 12466, 12571, 706, 1027, 47658, 31550, 11, 449, 24922, 596, 7216, 11509, 520, 220, 806, 14697, 1556, 10778, 1648, 315, 1054, 2827, 16404, 863, 12466, 374, 1555, 4907, 13654, 11, 5042, 20252, 13, 5377, 20252, 323, 3709, 10670, 367, 315, 12466, 12571, 374, 24716, 11, 5423, 304, 5789, 32161, 12571, 6373, 3600, 627, 96203, 279, 1357, 2431, 26112, 278, 75311, 23747, 10554, 311, 2274, 459, 6625, 26267, 11212, 14473, 389, 12466, 25793, 304, 31536, 2629, 1624, 39776, 11, 1690, 36159, 27463, 279, 12939, 315, 28118, 2890, 25949, 323, 279, 21503, 26333, 315, 68386, 13, 578, 19775, 315, 279, 37108, 52131, 706, 30073, 505, 279, 52452, 4819, 11, 1778, 439, 12571, 6373, 11, 311, 279, 42830, 4819, 11, 1778, 439, 26991, 279, 5788, 315, 68386, 323, 49636, 21503, 26333, 1511, 304, 68386, 5788, 2476, 1364, 3779, 13, 16803, 8396, 11351, 1514, 459, 3062, 3560, 304, 7366, 279, 24345, 4741, 555, 11821, 828, 11, 14955, 11, 323, 24196, 505, 279, 5015, 627, 52125, 25, 1115, 3577, 4984, 574, 9124, 449, 279, 6020, 1862, 315, 279, 7665, 9323, 13, 11699, 2262, 374, 279, 13612, 12014, 315, 279, 36194, 11755, 10229, 323, 41122, 18, 5114, 323, 1587, 539, 14647, 8881, 279, 6325, 315, 279, 7665, 9323, 13, 578, 2447, 3451, 58460, 96201, 7935, 304, 24922, 529, 374, 7396, 555, 279, 7665, 9323, 11, 323, 555, 279, 20214, 315, 19620, 23298, 315, 279, 34250, 5545, 1234, 279, 38821, 57204, 47516, 627, 58, 17, 60, 96876, 7792, 11, 622, 485, 14172, 11, 1880, 453, 13, 330, 99162, 294, 24620, 1354, 323, 51177, 82, 304, 19335, 439, 16614, 34824, 369, 12434, 25793, 323, 3728, 52673, 6732, 323, 19075, 369, 18189, 323, 26991, 19786, 323, 14675, 1210, 86148, 2140, 8778, 1821, 220, 23, 320, 2366, 17, 1680, 220, 12375, 68, 17267, 13, 128001, -100, 20397, 459, 37492, 315, 20046, 41078, 9497, 7411, 520, 279, 1948, 315, 279, 10165, 11, 34356, 449, 1063, 1633, 23944, 8450, 83003, 11, 279, 23733, 706, 264, 6689, 520, 2500, 1396, 832, 8244, 3820, 304, 52709, 321, 33491, 627, 33, 372, 2106, 704, 520, 279, 2144, 430, 701, 7075, 23733, 19037, 374, 11961, 520, 2162, 1306, 2500, 13548, 19794, 3280, 5380, 11649, 8850, 539, 0, 1226, 2351, 304, 279, 12314, 315, 12873, 29664, 3280, 323, 11, 369, 279, 2132, 24871, 1060, 11, 264, 23733, 28491, 58347, 706, 264, 6140, 311, 733, 1396, 832, 8244, 627, 35361, 12812, 507, 35168, 52709, 321, 33491, 706, 1027, 85305, 291, 304, 279, 3772, 555, 279, 35062, 315, 61591, 323, 16399, 11427, 519, 58627, 588, 263, 99423, 1216, 11, 719, 1455, 10165, 79306, 617, 33491, 30929, 439, 832, 315, 279, 1888, 35032, 304, 420, 5655, 10165, 538, 627, 1959, 520, 27290, 11, 2225, 30534, 4584, 2059, 352, 323, 11220, 735, 13154, 617, 33491, 439, 279, 4948, 57701, 2851, 389, 872, 20081, 10165, 21126, 320, 30998, 485, 99423, 1216, 323, 53449, 15538, 350, 52622, 16431, 28280, 570, 11995, 7752, 39396, 60112, 439, 264, 2466, 2944, 369, 3249, 33491, 374, 779, 7701, 27458, 26, 813, 5845, 311, 13270, 279, 45347, 439, 1664, 439, 6068, 1203, 304, 10401, 690, 1304, 1461, 459, 1524, 810, 15525, 9513, 369, 813, 3938, 2128, 627, 20397, 39427, 389, 33491, 596, 11509, 304, 420, 10165, 538, 11, 735, 13154, 323, 4584, 2059, 352, 733, 2204, 5627, 994, 82382, 1405, 568, 3358, 4498, 304, 3297, 596, 10165, 627, 31485, 11, 1070, 596, 279, 60112, 13189, 13, 1102, 596, 1101, 5922, 45391, 279, 4068, 922, 10508, 10548, 11, 13126, 33225, 9332, 690, 617, 311, 3663, 28933, 26181, 11157, 264, 1060, 627, 2170, 449, 4584, 2059, 352, 596, 15398, 11, 33491, 20948, 449, 279, 53791, 1053, 387, 264, 2294, 3094, 304, 4857, 264, 9232, 430, 649, 20874, 2403, 264, 13096, 430, 8603, 16386, 311, 3663, 13929, 29872, 11157, 264, 1060, 13, 1628, 1541, 956, 10894, 279, 70426, 11, 21816, 4948, 11, 527, 304, 872, 13096, 1403, 26, 21816, 33491, 1436, 387, 264, 82847, 535, 2077, 311, 279, 622, 2076, 4737, 264, 20046, 477, 311, 9299, 704, 1124, 4737, 99423, 1216, 627, 2170, 369, 1023, 3682, 3772, 28183, 11, 279, 1455, 5526, 9284, 369, 33491, 374, 279, 20005, 54439, 520, 3820, 1396, 4848, 13, 22024, 1242, 3476, 916, 596, 4946, 3320, 29973, 323, 37373, 2394, 9652, 11, 12873, 916, 596, 15469, 83725, 11, 323, 26313, 17671, 596, 1866, 11824, 735, 37180, 682, 617, 33491, 20948, 449, 279, 54439, 627, 20215, 1023, 12873, 916, 16483, 47249, 33491, 2949, 279, 1948, 42117, 25, 15274, 17200, 706, 1461, 20948, 304, 49046, 11, 1418, 35674, 7839, 48616, 323, 13678, 9259, 1518, 1461, 1694, 39056, 555, 279, 46299, 13, 6104, 2225, 24372, 323, 49046, 1436, 1005, 264, 20046, 11, 682, 2380, 16483, 22628, 279, 16399, 20282, 315, 11519, 83596, 483, 323, 82479, 37548, 439, 42535, 369, 4737, 33491, 13, 2468, 420, 1486, 304, 279, 10165, 1920, 11, 433, 596, 3719, 1633, 2867, 430, 33491, 374, 539, 16054, 3347, 33225, 9332, 520, 1396, 8254, 627, 44, 474, 374, 14224, 279, 10017, 596, 8706, 22199, 11, 719, 568, 596, 1120, 279, 7314, 304, 3878, 315, 12873, 11005, 5108, 505, 279, 23733, 627, 20215, 1023, 11537, 5144, 7222, 304, 11220, 735, 13154, 596, 7054, 12, 605, 68647, 33407, 25, 18206, 3314, 596, 423, 462, 59979, 320, 2822, 13, 220, 24, 29125, 6984, 705, 17355, 19174, 596, 11641, 74696, 27738, 320, 2822, 13, 220, 18, 19220, 705, 323, 73377, 596, 92746, 36258, 258, 320, 2822, 13, 220, 605, 5955, 4390, 7098, 9211, 1903, 264, 2763, 315, 12248, 520, 279, 16343, 555, 4401, 264, 220, 19, 13, 1627, 220, 1272, 37839, 24858, 11, 7154, 15061, 11517, 11605, 596, 16343, 3335, 11, 323, 18307, 3339, 11605, 23418, 304, 279, 1920, 627, 1548, 3358, 8659, 387, 39056, 11, 323, 690, 4461, 8854, 439, 264, 1183, 485, 263, 25518, 49978, 15302, 38665, 4584, 29778, 471, 893, 449, 1063, 5992, 389, 17193, 13, 763, 279, 3347, 4330, 64692, 279, 43641, 4401, 1203, 4183, 11299, 11, 389, 5578, 11, 7119, 279, 1203, 315, 279, 11999, 4883, 11, 719, 358, 1436, 1518, 1461, 64802, 264, 2766, 1606, 315, 813, 1404, 13, 12873, 51186, 3407, 412, 916, 7224, 1461, 439, 264, 3389, 220, 20, 339, 14, 22928, 220, 21, 339, 21691, 3820, 627, 54, 569, 374, 2500, 22199, 6832, 1404, 9711, 1461, 520, 264, 49836, 304, 279, 10165, 1920, 13, 1283, 596, 10212, 520, 220, 20, 6, 806, 1, 389, 42601, 52, 596, 3997, 11, 902, 4536, 956, 2294, 369, 264, 7296, 13, 16782, 11, 568, 596, 28448, 311, 387, 264, 2132, 12, 583, 910, 555, 12873, 51186, 3407, 412, 916, 11, 323, 433, 596, 5922, 45391, 430, 568, 1903, 459, 11341, 304, 11220, 735, 13154, 596, 68647, 33407, 1203, 304, 6790, 26, 568, 574, 37477, 4315, 10195, 5653, 26640, 520, 279, 892, 627, 81586, 11, 323, 8530, 1455, 41765, 398, 11, 374, 4846, 1283, 63670, 98491, 323, 28997, 31422, 20046, 17527, 38206, 13, 1283, 28214, 2391, 279, 6460, 61861, 94574, 1847, 11, 21939, 1403, 73557, 389, 8254, 13865, 11, 323, 1690, 617, 29440, 813, 12579, 5845, 13, 1102, 374, 5922, 27401, 430, 520, 813, 463, 1938, 11, 304, 5369, 311, 21939, 57648, 11, 568, 1101, 1550, 1063, 7296, 57648, 902, 568, 33828, 1550, 5128, 1664, 304, 13, 12873, 51186, 3407, 412, 916, 1587, 539, 2447, 38206, 311, 387, 39056, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898 ]
[ 128000, 4438, 19019, 656, 70244, 23645, 30, 2468, 4330, 311, 4848, 4038, 315, 4325, 11, 1587, 527, 15196, 323, 1253, 28875, 13, 2435, 649, 3136, 311, 8356, 3995, 369, 3116, 1667, 13, 83627, 40758, 220, 2148, 2919, 304, 279, 39824, 11, 323, 1855, 99553, 1253, 8356, 1990, 832, 323, 30335, 3995, 13, 25218, 264, 2478, 2919, 1306, 7231, 9889, 11, 1364, 1253, 636, 20895, 1578, 627, 4438, 6288, 649, 1403, 70244, 23645, 30, 49431, 13033, 367, 40758, 220, 1591, 12, 2148, 2919, 11, 323, 2533, 814, 527, 36572, 25568, 42391, 11, 6691, 70244, 1253, 387, 312, 2320, 40381, 519, 4520, 1306, 7231, 7342, 13, 1115, 24897, 430, 422, 6691, 374, 35611, 24895, 555, 264, 8762, 39824, 11, 1364, 1253, 63234, 8356, 832, 39682, 1855, 2305, 627, 4438, 1690, 3115, 264, 1938, 656, 70244, 30276, 30, 13566, 48434, 1253, 30276, 439, 4216, 439, 220, 20, 477, 220, 21, 4038, 315, 4325, 11, 719, 814, 1288, 3240, 73219, 27115, 13, 1102, 374, 12090, 11, 4869, 11, 430, 912, 810, 1109, 832, 73219, 824, 1938, 387, 13375, 389, 1855, 7564, 11, 2533, 279, 2132, 99302, 3629, 5764, 1790, 810, 40699, 627, 4438, 97917, 3234, 36824, 11777, 3402, 48945, 1389, 85447, 57828, 43486, 198, 4438, 1317, 1288, 264, 8762, 323, 8954, 39824, 387, 2163, 7636, 5380, 2746, 499, 5268, 539, 311, 993, 352, 279, 8954, 39824, 11, 499, 2011, 2567, 279, 8762, 323, 8954, 70244, 10980, 369, 520, 3325, 4848, 5672, 1306, 279, 8762, 753, 26878, 4776, 13, 1115, 2643, 387, 264, 3575, 422, 499, 617, 8767, 15075, 2225, 70244, 13, 18715, 11, 499, 2011, 2567, 1124, 10980, 369, 520, 3325, 4848, 5672, 627, 4599, 656, 70244, 3041, 7342, 5380, 7009, 28875, 1990, 7552, 323, 6250, 11, 449, 264, 16557, 304, 5587, 323, 3297, 13, 54999, 367, 40758, 220, 1591, 311, 220, 966, 2919, 11, 323, 1855, 39682, 19159, 3116, 311, 4848, 3995, 13, 36824, 11777, 11383, 8356, 2380, 326, 29163, 1475, 1060, 13, 29738, 45215, 988, 264, 26682, 20428, 2212, 279, 1404, 315, 264, 5333, 753, 33552, 627, 32, 39824, 706, 1268, 1690, 326, 29163, 1475, 1060, 5380, 49, 370, 11777, 1101, 617, 264, 2875, 13033, 367, 4261, 11, 1990, 220, 914, 323, 220, 1591, 2919, 11, 902, 6276, 1124, 311, 8356, 1690, 326, 29163, 1855, 1060, 13, 18516, 97629, 546, 607, 70244, 8356, 1990, 832, 323, 8254, 326, 29163, 824, 1060, 11, 449, 459, 5578, 315, 2380, 477, 3116, 326, 29163, 824, 1060, 11, 4184, 311, 21995, 66071, 5000, 627, 37521, 70244, 527, 42889, 369, 1268, 1317, 5380, 26556, 220, 23, 323, 220, 717, 5672, 315, 4325, 11, 264, 8762, 39824, 1253, 3719, 42889, 13, 4452, 11, 568, 1288, 539, 387, 15480, 311, 23645, 369, 520, 3325, 4848, 4038, 13, 1115, 374, 311, 6106, 430, 568, 89726, 10489, 323, 25501, 48261, 627, 4438, 656, 358, 2512, 369, 856, 39824, 1306, 433, 6835, 7342, 5380, 10445, 656, 70244, 2815, 1306, 73219, 5380, 6153, 73219, 11, 264, 8762, 39824, 17503, 1022, 4245, 311, 264, 37538, 22781, 287, 323, 28965, 315, 813, 24569, 13, 578, 48434, 24569, 636, 810, 31161, 2391, 73219, 11, 323, 520, 6992, 73219, 11, 682, 315, 1884, 24569, 1206, 20345, 11622, 323, 1243, 12756, 4984, 11, 10923, 279, 39824, 311, 4498, 1022, 627, 4438, 6288, 649, 499, 8417, 422, 264, 39824, 374, 20895, 5380, 4438, 649, 358, 8417, 422, 264, 39824, 374, 20895, 30, 83627, 374, 539, 6118, 9621, 304, 70244, 13, 23150, 11, 499, 1253, 539, 1518, 264, 39824, 374, 20895, 3156, 1193, 264, 1938, 477, 1403, 1603, 1364, 6835, 7342, 11, 994, 1364, 12302, 20646, 369, 9889, 555, 50453, 264, 23634, 505, 315, 1077, 61253, 3769, 323, 1866, 7013, 627, 4438, 1317, 1587, 433, 1935, 264, 39824, 311, 3041, 7342, 5380, 644, 70244, 11, 279, 1176, 323, 2132, 35530, 315, 9511, 12446, 21907, 79126, 11, 323, 961, 324, 684, 14614, 40758, 220, 966, 4520, 320, 22, 570, 62993, 527, 14134, 9405, 304, 279, 4216, 6693, 323, 527, 21771, 439, 453, 376, 7235, 1606, 311, 872, 6996, 315, 7013, 323, 1520, 33028, 11, 439, 1664, 439, 872, 6548, 323, 25212, 1694, 8036, 320, 17, 11, 19, 4390, 5519, 70244, 3041, 7342, 311, 682, 872, 46471, 25291, 5380, 3923, 374, 279, 7340, 1396, 315, 90821, 430, 264, 39824, 649, 617, 304, 264, 39682, 30, 36824, 11777, 617, 459, 5578, 39682, 1404, 315, 4330, 11, 3686, 47834, 1253, 3041, 7342, 311, 439, 2478, 439, 832, 477, 439, 1690, 439, 30335, 0, 24586, 311, 279, 11295, 6650, 315, 3995, 293, 15278, 552, 11, 1054, 3055, 68, 863, 70244, 1253, 617, 2380, 477, 3116, 326, 29163, 1475, 3280, 627, 4438, 649, 499, 8417, 994, 264, 39824, 706, 8308, 1202, 13033, 367, 4261, 5380, 4599, 499, 1440, 279, 1566, 892, 701, 99553, 574, 304, 5916, 449, 264, 8762, 11, 1797, 8469, 220, 1272, 2919, 26, 422, 433, 706, 1027, 810, 1109, 220, 1272, 2919, 11, 701, 39824, 374, 1455, 4461, 539, 20895, 13, 1442, 433, 753, 1027, 922, 264, 2305, 323, 499, 7858, 279, 99553, 50453, 264, 23634, 315, 31107, 11, 5684, 11, 477, 17659, 7013, 11, 1364, 1253, 387, 922, 311, 4585, 704, 3892, 8945, 293, 15278, 552, 627, 6854, 1403, 20895, 70244, 1080, 29675, 5380, 2181, 374, 43303, 311, 10519, 1403, 20895, 70244, 3871, 11, 422, 1070, 374, 14343, 3130, 13, 86035, 11, 389, 279, 1023, 1450, 11, 1288, 4667, 449, 832, 2500, 1603, 311, 10671, 20895, 627, 3957, 433, 3284, 369, 264, 20895, 39824, 311, 30276, 5380, 2746, 499, 1390, 369, 701, 293, 15278, 552, 311, 3136, 73219, 1418, 1364, 374, 20895, 11, 3493, 14343, 892, 369, 1124, 311, 52621, 349, 13, 17586, 264, 10712, 11, 279, 28807, 7858, 369, 264, 8762, 323, 8954, 889, 527, 20895, 477, 1390, 311, 617, 5217, 2911, 374, 304, 701, 13863, 0, 2435, 1253, 2103, 30276, 4225, 70941, 1306, 7231, 7342, 311, 46471, 627, 4438, 649, 499, 8417, 902, 76614, 374, 279, 25462, 832, 5380, 32, 4382, 15105, 311, 8417, 902, 315, 701, 293, 15278, 552, 374, 25462, 374, 311, 23846, 1124, 75161, 832, 2500, 13, 46402, 11, 279, 25462, 10065, 342, 9949, 3117, 2753, 3629, 323, 369, 1790, 24210, 90204, 1109, 279, 79263, 13, 36016, 11, 279, 25462, 39824, 690, 85715, 872, 2010, 7119, 279, 1023, 627, 3923, 1288, 499, 656, 422, 264, 39824, 6835, 7342, 304, 701, 20085, 5380, 77641, 11, 8945, 70244, 11352, 7636, 304, 264, 23634, 527, 539, 477, 85411, 13, 1442, 264, 23634, 706, 1027, 69627, 11, 312, 70208, 433, 323, 312, 76465, 279, 24869, 449, 279, 16763, 430, 9960, 1124, 15453, 13, 11004, 1690, 69864, 315, 39347, 320, 269, 13987, 23962, 8, 304, 264, 5950, 27204, 927, 279, 23634, 311, 1518, 3508, 279, 6691, 374, 5108, 311, 2512, 369, 1124, 627, 3923, 527, 701, 2671, 422, 499, 2586, 5304, 46397, 293, 15278, 552, 304, 701, 20085, 5380, 2746, 499, 2586, 5304, 264, 23634, 315, 46397, 293, 15278, 552, 11, 499, 1288, 5387, 1124, 7636, 323, 4974, 279, 3158, 7214, 13, 1442, 499, 24927, 264, 23634, 11677, 398, 11, 2231, 389, 36516, 323, 30373, 76267, 48945, 70244, 311, 872, 23634, 477, 279, 45968, 3158, 1405, 499, 11352, 1124, 627, 3923, 422, 264, 3995, 39824, 824, 21168, 304, 1202, 23634, 5380, 697, 396, 48945, 279, 24869, 320, 333, 814, 617, 1027, 13061, 709, 323, 18073, 8, 323, 4879, 311, 25539, 279, 16763, 6801, 324, 294, 20432, 430, 1176, 44133, 1124, 13, 18230, 1124, 449, 433, 477, 11, 422, 433, 706, 1027, 20727, 11, 98862, 1063, 9235, 16763, 323, 54262, 279, 42534, 439, 1888, 499, 649, 13, 13969, 701, 6138, 505, 904, 23634, 369, 912, 5129, 1109, 5995, 627, 5519, 70244, 25024, 872, 3995, 5380, 49, 370, 11777, 617, 1027, 3967, 311, 25024, 872, 1866, 3995, 13, 1115, 374, 810, 4461, 311, 12446, 422, 701, 6896, 374, 23418, 11, 87544, 304, 34625, 13128, 11, 477, 706, 8040, 459, 22798, 5647, 315, 52482, 488, 13, 763, 279, 2919, 1603, 279, 7342, 315, 1077, 32596, 11, 5510, 701, 39824, 66868, 85526, 18137, 627, 3957, 433, 3284, 369, 264, 39824, 311, 617, 24869, 2919, 10980, 5380, 47, 40381, 6709, 40758, 220, 2148, 2919, 304, 279, 39824, 11, 323, 1855, 99553, 1253, 8356, 1990, 832, 323, 30335, 3995, 13, 25218, 264, 2478, 2919, 1306, 7231, 9889, 11, 1364, 1253, 636, 20895, 1578, 627, 11787, 70244, 13171, 315, 73219, 449, 872, 37783, 5380, 49, 20544, 28875, 388, 3629, 6725, 1584, 21152, 16490, 477, 40308, 5552, 70244, 13, 49431, 28875, 388, 3629, 5743, 37783, 477, 3070, 3697, 311, 14389, 872, 5016, 65009, 323, 311, 4141, 704, 323, 27208, 19465, 57790, 13, 77005, 323, 30968, 11, 27698, 323, 26419, 11, 653, 19153, 323, 264, 38040, 527, 279, 1455, 21420, 6857, 826, 627, 4438, 649, 499, 8417, 3508, 264, 8762, 39824, 374, 30276, 65015, 5380, 4438, 1317, 656, 282, 3333, 46397, 70244, 7293, 449, 872, 6691, 5380, 60860, 70244, 3629, 7293, 449, 872, 6691, 369, 3116, 311, 8223, 5672, 994, 28456, 26, 8545, 70244, 4822, 369, 3116, 5672, 7340, 11, 1418, 3117, 2106, 70244, 1253, 4822, 709, 311, 8223, 5672, 627, 5519, 70244, 73707, 872, 18742, 1306, 7342, 5380, 32, 8954, 39824, 690, 1005, 7013, 505, 1077, 67532, 16338, 11, 17659, 11, 323, 11314, 311, 1584, 279, 23634, 439, 3169, 2785, 320, 70, 2299, 7342, 8, 20414, 13, 1115, 374, 4762, 279, 1455, 9621, 2944, 315, 27639, 75161, 11, 2533, 279, 7013, 374, 7214, 54568, 1139, 264, 23634, 13, 40005, 287, 374, 264, 5933, 323, 13643, 32659, 13, 128001 ]
[ -100, 4438, 19019, 656, 70244, 23645, 30, 2468, 4330, 311, 4848, 4038, 315, 4325, 11, 1587, 527, 15196, 323, 1253, 28875, 13, 2435, 649, 3136, 311, 8356, 3995, 369, 3116, 1667, 13, 83627, 40758, 220, 2148, 2919, 304, 279, 39824, 11, 323, 1855, 99553, 1253, 8356, 1990, 832, 323, 30335, 3995, 13, 25218, 264, 2478, 2919, 1306, 7231, 9889, 11, 1364, 1253, 636, 20895, 1578, 627, 4438, 6288, 649, 1403, 70244, 23645, 30, 49431, 13033, 367, 40758, 220, 1591, 12, 2148, 2919, 11, 323, 2533, 814, 527, 36572, 25568, 42391, 11, 6691, 70244, 1253, 387, 312, 2320, 40381, 519, 4520, 1306, 7231, 7342, 13, 1115, 24897, 430, 422, 6691, 374, 35611, 24895, 555, 264, 8762, 39824, 11, 1364, 1253, 63234, 8356, 832, 39682, 1855, 2305, 627, 4438, 1690, 3115, 264, 1938, 656, 70244, 30276, 30, 13566, 48434, 1253, 30276, 439, 4216, 439, 220, 20, 477, 220, 21, 4038, 315, 4325, 11, 719, 814, 1288, 3240, 73219, 27115, 13, 1102, 374, 12090, 11, 4869, 11, 430, 912, 810, 1109, 832, 73219, 824, 1938, 387, 13375, 389, 1855, 7564, 11, 2533, 279, 2132, 99302, 3629, 5764, 1790, 810, 40699, 627, 4438, 97917, 3234, 36824, 11777, 3402, 48945, 1389, 85447, 57828, 43486, 198, 4438, 1317, 1288, 264, 8762, 323, 8954, 39824, 387, 2163, 7636, 5380, 2746, 499, 5268, 539, 311, 993, 352, 279, 8954, 39824, 11, 499, 2011, 2567, 279, 8762, 323, 8954, 70244, 10980, 369, 520, 3325, 4848, 5672, 1306, 279, 8762, 753, 26878, 4776, 13, 1115, 2643, 387, 264, 3575, 422, 499, 617, 8767, 15075, 2225, 70244, 13, 18715, 11, 499, 2011, 2567, 1124, 10980, 369, 520, 3325, 4848, 5672, 627, 4599, 656, 70244, 3041, 7342, 5380, 7009, 28875, 1990, 7552, 323, 6250, 11, 449, 264, 16557, 304, 5587, 323, 3297, 13, 54999, 367, 40758, 220, 1591, 311, 220, 966, 2919, 11, 323, 1855, 39682, 19159, 3116, 311, 4848, 3995, 13, 36824, 11777, 11383, 8356, 2380, 326, 29163, 1475, 1060, 13, 29738, 45215, 988, 264, 26682, 20428, 2212, 279, 1404, 315, 264, 5333, 753, 33552, 627, 32, 39824, 706, 1268, 1690, 326, 29163, 1475, 1060, 5380, 49, 370, 11777, 1101, 617, 264, 2875, 13033, 367, 4261, 11, 1990, 220, 914, 323, 220, 1591, 2919, 11, 902, 6276, 1124, 311, 8356, 1690, 326, 29163, 1855, 1060, 13, 18516, 97629, 546, 607, 70244, 8356, 1990, 832, 323, 8254, 326, 29163, 824, 1060, 11, 449, 459, 5578, 315, 2380, 477, 3116, 326, 29163, 824, 1060, 11, 4184, 311, 21995, 66071, 5000, 627, 37521, 70244, 527, 42889, 369, 1268, 1317, 5380, 26556, 220, 23, 323, 220, 717, 5672, 315, 4325, 11, 264, 8762, 39824, 1253, 3719, 42889, 13, 4452, 11, 568, 1288, 539, 387, 15480, 311, 23645, 369, 520, 3325, 4848, 4038, 13, 1115, 374, 311, 6106, 430, 568, 89726, 10489, 323, 25501, 48261, 627, 4438, 656, 358, 2512, 369, 856, 39824, 1306, 433, 6835, 7342, 5380, 10445, 656, 70244, 2815, 1306, 73219, 5380, 6153, 73219, 11, 264, 8762, 39824, 17503, 1022, 4245, 311, 264, 37538, 22781, 287, 323, 28965, 315, 813, 24569, 13, 578, 48434, 24569, 636, 810, 31161, 2391, 73219, 11, 323, 520, 6992, 73219, 11, 682, 315, 1884, 24569, 1206, 20345, 11622, 323, 1243, 12756, 4984, 11, 10923, 279, 39824, 311, 4498, 1022, 627, 4438, 6288, 649, 499, 8417, 422, 264, 39824, 374, 20895, 5380, 4438, 649, 358, 8417, 422, 264, 39824, 374, 20895, 30, 83627, 374, 539, 6118, 9621, 304, 70244, 13, 23150, 11, 499, 1253, 539, 1518, 264, 39824, 374, 20895, 3156, 1193, 264, 1938, 477, 1403, 1603, 1364, 6835, 7342, 11, 994, 1364, 12302, 20646, 369, 9889, 555, 50453, 264, 23634, 505, 315, 1077, 61253, 3769, 323, 1866, 7013, 627, 4438, 1317, 1587, 433, 1935, 264, 39824, 311, 3041, 7342, 5380, 644, 70244, 11, 279, 1176, 323, 2132, 35530, 315, 9511, 12446, 21907, 79126, 11, 323, 961, 324, 684, 14614, 40758, 220, 966, 4520, 320, 22, 570, 62993, 527, 14134, 9405, 304, 279, 4216, 6693, 323, 527, 21771, 439, 453, 376, 7235, 1606, 311, 872, 6996, 315, 7013, 323, 1520, 33028, 11, 439, 1664, 439, 872, 6548, 323, 25212, 1694, 8036, 320, 17, 11, 19, 4390, 5519, 70244, 3041, 7342, 311, 682, 872, 46471, 25291, 5380, 3923, 374, 279, 7340, 1396, 315, 90821, 430, 264, 39824, 649, 617, 304, 264, 39682, 30, 36824, 11777, 617, 459, 5578, 39682, 1404, 315, 4330, 11, 3686, 47834, 1253, 3041, 7342, 311, 439, 2478, 439, 832, 477, 439, 1690, 439, 30335, 0, 24586, 311, 279, 11295, 6650, 315, 3995, 293, 15278, 552, 11, 1054, 3055, 68, 863, 70244, 1253, 617, 2380, 477, 3116, 326, 29163, 1475, 3280, 627, 4438, 649, 499, 8417, 994, 264, 39824, 706, 8308, 1202, 13033, 367, 4261, 5380, 4599, 499, 1440, 279, 1566, 892, 701, 99553, 574, 304, 5916, 449, 264, 8762, 11, 1797, 8469, 220, 1272, 2919, 26, 422, 433, 706, 1027, 810, 1109, 220, 1272, 2919, 11, 701, 39824, 374, 1455, 4461, 539, 20895, 13, 1442, 433, 753, 1027, 922, 264, 2305, 323, 499, 7858, 279, 99553, 50453, 264, 23634, 315, 31107, 11, 5684, 11, 477, 17659, 7013, 11, 1364, 1253, 387, 922, 311, 4585, 704, 3892, 8945, 293, 15278, 552, 627, 6854, 1403, 20895, 70244, 1080, 29675, 5380, 2181, 374, 43303, 311, 10519, 1403, 20895, 70244, 3871, 11, 422, 1070, 374, 14343, 3130, 13, 86035, 11, 389, 279, 1023, 1450, 11, 1288, 4667, 449, 832, 2500, 1603, 311, 10671, 20895, 627, 3957, 433, 3284, 369, 264, 20895, 39824, 311, 30276, 5380, 2746, 499, 1390, 369, 701, 293, 15278, 552, 311, 3136, 73219, 1418, 1364, 374, 20895, 11, 3493, 14343, 892, 369, 1124, 311, 52621, 349, 13, 17586, 264, 10712, 11, 279, 28807, 7858, 369, 264, 8762, 323, 8954, 889, 527, 20895, 477, 1390, 311, 617, 5217, 2911, 374, 304, 701, 13863, 0, 2435, 1253, 2103, 30276, 4225, 70941, 1306, 7231, 7342, 311, 46471, 627, 4438, 649, 499, 8417, 902, 76614, 374, 279, 25462, 832, 5380, 32, 4382, 15105, 311, 8417, 902, 315, 701, 293, 15278, 552, 374, 25462, 374, 311, 23846, 1124, 75161, 832, 2500, 13, 46402, 11, 279, 25462, 10065, 342, 9949, 3117, 2753, 3629, 323, 369, 1790, 24210, 90204, 1109, 279, 79263, 13, 36016, 11, 279, 25462, 39824, 690, 85715, 872, 2010, 7119, 279, 1023, 627, 3923, 1288, 499, 656, 422, 264, 39824, 6835, 7342, 304, 701, 20085, 5380, 77641, 11, 8945, 70244, 11352, 7636, 304, 264, 23634, 527, 539, 477, 85411, 13, 1442, 264, 23634, 706, 1027, 69627, 11, 312, 70208, 433, 323, 312, 76465, 279, 24869, 449, 279, 16763, 430, 9960, 1124, 15453, 13, 11004, 1690, 69864, 315, 39347, 320, 269, 13987, 23962, 8, 304, 264, 5950, 27204, 927, 279, 23634, 311, 1518, 3508, 279, 6691, 374, 5108, 311, 2512, 369, 1124, 627, 3923, 527, 701, 2671, 422, 499, 2586, 5304, 46397, 293, 15278, 552, 304, 701, 20085, 5380, 2746, 499, 2586, 5304, 264, 23634, 315, 46397, 293, 15278, 552, 11, 499, 1288, 5387, 1124, 7636, 323, 4974, 279, 3158, 7214, 13, 1442, 499, 24927, 264, 23634, 11677, 398, 11, 2231, 389, 36516, 323, 30373, 76267, 48945, 70244, 311, 872, 23634, 477, 279, 45968, 3158, 1405, 499, 11352, 1124, 627, 3923, 422, 264, 3995, 39824, 824, 21168, 304, 1202, 23634, 5380, 697, 396, 48945, 279, 24869, 320, 333, 814, 617, 1027, 13061, 709, 323, 18073, 8, 323, 4879, 311, 25539, 279, 16763, 6801, 324, 294, 20432, 430, 1176, 44133, 1124, 13, 18230, 1124, 449, 433, 477, 11, 422, 433, 706, 1027, 20727, 11, 98862, 1063, 9235, 16763, 323, 54262, 279, 42534, 439, 1888, 499, 649, 13, 13969, 701, 6138, 505, 904, 23634, 369, 912, 5129, 1109, 5995, 627, 5519, 70244, 25024, 872, 3995, 5380, 49, 370, 11777, 617, 1027, 3967, 311, 25024, 872, 1866, 3995, 13, 1115, 374, 810, 4461, 311, 12446, 422, 701, 6896, 374, 23418, 11, 87544, 304, 34625, 13128, 11, 477, 706, 8040, 459, 22798, 5647, 315, 52482, 488, 13, 763, 279, 2919, 1603, 279, 7342, 315, 1077, 32596, 11, 5510, 701, 39824, 66868, 85526, 18137, 627, 3957, 433, 3284, 369, 264, 39824, 311, 617, 24869, 2919, 10980, 5380, 47, 40381, 6709, 40758, 220, 2148, 2919, 304, 279, 39824, 11, 323, 1855, 99553, 1253, 8356, 1990, 832, 323, 30335, 3995, 13, 25218, 264, 2478, 2919, 1306, 7231, 9889, 11, 1364, 1253, 636, 20895, 1578, 627, 11787, 70244, 13171, 315, 73219, 449, 872, 37783, 5380, 49, 20544, 28875, 388, 3629, 6725, 1584, 21152, 16490, 477, 40308, 5552, 70244, 13, 49431, 28875, 388, 3629, 5743, 37783, 477, 3070, 3697, 311, 14389, 872, 5016, 65009, 323, 311, 4141, 704, 323, 27208, 19465, 57790, 13, 77005, 323, 30968, 11, 27698, 323, 26419, 11, 653, 19153, 323, 264, 38040, 527, 279, 1455, 21420, 6857, 826, 627, 4438, 649, 499, 8417, 3508, 264, 8762, 39824, 374, 30276, 65015, 5380, 4438, 1317, 656, 282, 3333, 46397, 70244, 7293, 449, 872, 6691, 5380, 60860, 70244, 3629, 7293, 449, 872, 6691, 369, 3116, 311, 8223, 5672, 994, 28456, 26, 8545, 70244, 4822, 369, 3116, 5672, 7340, 11, 1418, 3117, 2106, 70244, 1253, 4822, 709, 311, 8223, 5672, 627, 5519, 70244, 73707, 872, 18742, 1306, 7342, 5380, 32, 8954, 39824, 690, 1005, 7013, 505, 1077, 67532, 16338, 11, 17659, 11, 323, 11314, 311, 1584, 279, 23634, 439, 3169, 2785, 320, 70, 2299, 7342, 8, 20414, 13, 1115, 374, 4762, 279, 1455, 9621, 2944, 315, 27639, 75161, 11, 2533, 279, 7013, 374, 7214, 54568, 1139, 264, 23634, 13, 40005, 287, 374, 264, 5933, 323, 13643, 32659, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547 ]
[ 128000, 791, 12074, 3549, 6685, 55086, 292, 13761, 430, 617, 1027, 220, 20, 18028, 20, 10166, 17, 323, 220, 605, 18028, 605, 10166, 17, 1389, 264, 2763, 11493, 1109, 279, 220, 16, 13, 20, 865, 220, 16, 13, 20, 10166, 17, 6305, 35901, 1903, 304, 264, 10278, 11, 4869, 9333, 1109, 13076, 6685, 55086, 292, 21988, 13, 16666, 5573, 25, 507, 3931, 198, 12, 3700, 869, 4991, 3695, 527, 28448, 311, 387, 264, 1847, 11843, 4091, 304, 3938, 6685, 55086, 292, 1440, 58523, 4869, 520, 3118, 46753, 505, 264, 10015, 25605, 61961, 323, 21701, 304, 2515, 1968, 994, 31790, 439, 1790, 439, 264, 11493, 13167, 198, 12, 57116, 617, 13241, 279, 17269, 1918, 323, 2515, 1968, 315, 6685, 55086, 292, 2849, 13761, 555, 27890, 279, 71261, 17135, 449, 69911, 2411, 82882, 6957, 59251, 198, 12, 578, 824, 869, 4991, 635, 49277, 6324, 2949, 279, 13241, 6685, 55086, 292, 13761, 527, 59884, 323, 617, 11493, 41936, 11, 449, 17162, 42655, 198, 12, 9062, 220, 20, 865, 220, 20, 10166, 17, 323, 220, 605, 865, 220, 605, 10166, 17, 824, 869, 4991, 635, 13761, 18908, 27639, 92126, 369, 927, 220, 1041, 15, 4207, 198, 60210, 505, 279, 7777, 258, 14406, 10181, 315, 10170, 323, 14521, 58523, 44825, 9304, 320, 46, 3931, 8, 617, 3549, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 449, 13241, 20334, 323, 2515, 1968, 1555, 279, 1005, 315, 264, 6883, 502, 59251, 5603, 430, 39920, 42655, 13, 11205, 14955, 617, 1027, 10675, 389, 279, 220, 914, 339, 315, 6186, 220, 2366, 16, 11, 304, 42041, 55371, 488, 51352, 627, 3976, 869, 4991, 3695, 527, 4762, 279, 1455, 26455, 17135, 369, 279, 1828, 43927, 315, 6685, 55086, 292, 1440, 58523, 11, 69707, 505, 92126, 315, 2380, 13, 23, 4, 311, 220, 914, 13, 20, 4, 304, 20025, 927, 264, 13515, 13, 3700, 869, 4991, 635, 6685, 55086, 292, 7917, 527, 3428, 2853, 311, 8312, 323, 617, 279, 4754, 311, 387, 33045, 11, 7982, 872, 60112, 13, 4452, 1403, 32116, 38913, 2565, 279, 1888, 1648, 311, 8518, 2065, 25, 872, 6996, 315, 1317, 9860, 20334, 323, 27129, 449, 709, 94152, 627, 2118, 3976, 869, 4991, 635, 7384, 374, 45350, 323, 35473, 311, 66266, 11, 902, 24897, 279, 6685, 55086, 292, 7917, 8209, 311, 2567, 709, 27639, 2515, 1968, 927, 264, 1633, 1317, 892, 2476, 9932, 1176, 20514, 2999, 13, 4673, 78, 90684, 51491, 11, 264, 1772, 38083, 278, 18640, 2949, 279, 507, 3931, 55371, 488, 51352, 323, 16990, 23199, 8113, 11, 6197, 555, 17054, 816, 370, 287, 58094, 13, 1054, 3112, 3582, 2678, 28935, 824, 869, 4991, 635, 6685, 55086, 292, 7917, 617, 264, 27639, 2515, 1968, 323, 6920, 704, 7154, 304, 5369, 311, 872, 51692, 38495, 11, 439, 5246, 439, 31790, 439, 1790, 439, 11493, 6685, 55086, 292, 13761, 11, 279, 2515, 1968, 21701, 49216, 644, 264, 15325, 6685, 55086, 292, 59951, 11, 279, 824, 869, 4991, 635, 6324, 15812, 2949, 279, 4851, 11, 28974, 291, 1990, 1403, 7710, 13931, 323, 1403, 80390, 13, 9393, 279, 49277, 824, 869, 4991, 635, 6324, 91111, 53121, 11, 433, 27983, 2853, 35991, 902, 1243, 35855, 311, 279, 80390, 1555, 279, 7710, 13931, 323, 8356, 264, 3118, 627, 8284, 27163, 11, 9160, 75790, 2949, 279, 824, 869, 4991, 635, 6324, 323, 42655, 389, 279, 23546, 1990, 4040, 1732, 824, 869, 4991, 635, 41936, 649, 24927, 279, 35855, 315, 2853, 35991, 505, 279, 824, 869, 4991, 635, 6324, 311, 279, 7710, 13931, 11, 44649, 2515, 1968, 13, 20449, 19025, 323, 24463, 1101, 649, 3240, 311, 96630, 279, 824, 869, 4991, 635, 6324, 520, 1521, 23011, 13335, 11, 2875, 6147, 279, 61961, 315, 279, 59951, 627, 3976, 869, 4991, 635, 6685, 55086, 292, 2849, 54475, 1397, 264, 1396, 315, 13931, 311, 14816, 13, 578, 49277, 824, 869, 4991, 635, 6324, 91111, 53121, 323, 27983, 2853, 35991, 13, 578, 7710, 13931, 7710, 279, 2853, 35991, 311, 279, 80390, 11, 28965, 264, 3118, 13, 578, 49277, 824, 869, 4991, 635, 6324, 374, 27367, 505, 1690, 26110, 41936, 13, 578, 23546, 1990, 1521, 41936, 11, 323, 2204, 42655, 2949, 279, 824, 869, 4991, 635, 5818, 11, 71707, 9160, 75790, 11, 18979, 279, 2515, 1968, 323, 61961, 315, 279, 6685, 55086, 292, 54475, 13, 16666, 5573, 25, 507, 3931, 198, 2118, 60784, 709, 374, 5107, 439, 264, 1121, 315, 1606, 279, 13761, 7417, 304, 13167, 11, 433, 753, 49331, 311, 8312, 264, 14113, 6324, 315, 824, 869, 4991, 635, 11, 323, 1521, 42655, 2543, 704, 311, 387, 5066, 38617, 2476, 4613, 2999, 13, 51491, 13, 1054, 1687, 4460, 311, 7142, 264, 11827, 315, 13354, 1113, 14880, 13761, 430, 20669, 1521, 4819, 49216, 21886, 398, 11, 1455, 6685, 55086, 292, 7917, 9124, 617, 264, 48777, 824, 869, 4991, 635, 6324, 1389, 21742, 220, 2636, 20622, 33504, 304, 26839, 13, 763, 7434, 11, 264, 48777, 824, 869, 4991, 635, 6324, 36050, 2515, 1968, 11, 1606, 279, 2853, 35991, 617, 1790, 2753, 6138, 311, 11879, 311, 11322, 279, 7710, 13931, 3485, 323, 24923, 13, 4452, 994, 13354, 1113, 11493, 13761, 11, 279, 12074, 11352, 314, 9210, 264, 92, 48777, 5818, 6118, 8040, 5066, 42655, 323, 9160, 75790, 627, 791, 12074, 28520, 41867, 311, 1304, 220, 20, 865, 220, 20, 10166, 17, 323, 220, 605, 865, 220, 605, 10166, 17, 6685, 55086, 292, 13761, 430, 13282, 824, 869, 4991, 635, 9698, 449, 2033, 279, 26839, 627, 72326, 505, 279, 507, 3931, 55371, 488, 51352, 323, 16990, 23199, 8113, 35883, 279, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 304, 11633, 11, 91000, 264, 8571, 323, 22068, 40508, 13, 16666, 5573, 25, 507, 3931, 198, 8284, 27163, 11, 3339, 59884, 824, 869, 4991, 635, 9698, 2751, 1618, 449, 1202, 4443, 743, 315, 11774, 13, 3700, 869, 4991, 3695, 527, 264, 5699, 315, 17135, 902, 649, 387, 14614, 27367, 555, 74150, 1690, 32246, 45925, 439, 459, 4320, 1306, 902, 62174, 1124, 311, 64568, 553, 627, 8284, 27163, 11, 279, 14248, 28214, 311, 73739, 264, 27639, 14343, 5357, 315, 3063, 80087, 483, 1389, 832, 315, 1690, 71261, 17135, 1511, 311, 3169, 824, 869, 4991, 635, 1389, 430, 574, 4934, 369, 279, 59884, 9698, 13, 23212, 814, 11352, 430, 279, 64568, 2065, 3094, 574, 4062, 323, 71093, 69855, 11, 779, 279, 12314, 9698, 13282, 1690, 2678, 41936, 11, 449, 5066, 24875, 23546, 627, 791, 12074, 28520, 3779, 69911, 2411, 82882, 311, 13334, 279, 2092, 392, 1429, 315, 3063, 80087, 483, 13, 1115, 37938, 5535, 3063, 80087, 483, 311, 387, 5066, 42147, 56767, 2949, 279, 5933, 69996, 11, 6522, 311, 264, 5066, 14113, 824, 869, 4991, 635, 5818, 449, 264, 2763, 11493, 41936, 323, 17162, 42655, 13, 3383, 1677, 689, 574, 3010, 3117, 14075, 505, 279, 824, 869, 4991, 635, 4320, 11, 18189, 279, 13112, 315, 3242, 38333, 4871, 279, 824, 869, 4991, 635, 5818, 627, 1383, 2737, 69911, 2411, 82882, 11, 279, 84913, 824, 869, 4991, 635, 5818, 1047, 17162, 41936, 315, 264, 264, 2763, 11493, 13167, 11, 44649, 279, 8205, 315, 24875, 23546, 13, 16666, 5573, 25, 507, 3931, 198, 15777, 11, 279, 6685, 55086, 292, 13761, 30387, 220, 20, 865, 220, 20, 10166, 17, 11007, 459, 2515, 1968, 315, 220, 975, 13, 2131, 13689, 709, 505, 220, 1032, 13, 2705, 4, 304, 13761, 1903, 449, 704, 69911, 2411, 82882, 11, 323, 617, 1027, 13171, 315, 990, 369, 220, 6330, 15, 4207, 1389, 927, 1403, 4038, 1389, 520, 7191, 1109, 220, 1490, 4, 315, 420, 2515, 1968, 627, 791, 11493, 220, 605, 865, 220, 605, 10166, 17, 13761, 1047, 459, 2515, 1968, 315, 220, 605, 13, 914, 4, 323, 14958, 520, 27639, 21986, 315, 2515, 1968, 369, 927, 220, 5120, 15, 4207, 11, 477, 7154, 220, 2790, 2919, 627, 49977, 374, 279, 6156, 892, 314, 9210, 264, 92, 61961, 19179, 706, 1027, 5068, 369, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 315, 420, 13167, 11, 902, 374, 3604, 57399, 2476, 9932, 2999, 13, 51491, 627, 2028, 990, 574, 7396, 555, 279, 507, 3931, 14521, 58523, 34871, 323, 38710, 12877, 753, 38091, 8838, 22197, 56188, 6826, 13, 4314, 20124, 527, 264, 26455, 3094, 8469, 2949, 279, 2271, 311, 8312, 8518, 28935, 6685, 55086, 292, 13761, 449, 2515, 1968, 323, 20334, 311, 2489, 872, 51692, 38495, 627, 43061, 279, 17876, 6566, 315, 872, 6492, 11, 279, 5687, 6787, 311, 30536, 872, 5603, 5217, 555, 13354, 1113, 279, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 35988, 38752, 6108, 15174, 11, 70351, 1109, 1555, 279, 1005, 315, 4320, 11, 323, 527, 3604, 19969, 311, 5569, 439, 1790, 439, 220, 868, 865, 220, 868, 10166, 17, 13761, 627, 2118, 47439, 505, 10278, 28935, 6685, 55086, 292, 7917, 311, 4330, 865, 220, 20, 10166, 17, 6685, 55086, 292, 13761, 574, 9511, 1245, 13, 2009, 14550, 439, 1790, 439, 6685, 55086, 292, 13761, 430, 617, 1027, 220, 605, 865, 220, 605, 10166, 17, 574, 1524, 49331, 13, 1628, 2133, 311, 37755, 865, 220, 868, 10166, 17, 6685, 55086, 292, 13761, 649, 387, 49331, 38913, 2476, 9932, 2999, 13, 51491, 13, 1054, 11458, 279, 5687, 374, 19762, 8469, 311, 279, 3575, 49216, 9032, 25, 1054, 3407, 278, 481, 37407, 367, 315, 871, 1954, 10166, 17, 3700, 869, 4991, 635, 11064, 55086, 292, 44665, 449, 871, 1041, 15, 305, 90396, 81238, 36283, 6751, 3196, 389, 279, 61748, 11360, 78719, 863, 555, 4673, 78, 90684, 51491, 11, 423, 6043, 31021, 56, 647, 12103, 11, 34297, 7777, 13, 1952, 78, 11, 28372, 80, 28323, 38805, 11, 25191, 80, 28323, 22546, 11, 473, 2005, 37120, 11, 13203, 83227, 20614, 939, 3864, 11, 5843, 7006, 1229, 19260, 11, 1901, 647, 71, 3524, 38805, 323, 816, 370, 287, 58094, 11, 220, 914, 6186, 220, 2366, 16, 11, 42041, 55371, 488, 51352, 627, 91092, 25, 220, 605, 13, 1041, 17, 14520, 268, 76, 13, 2366, 6268, 22708, 128001, 128000, 2028, 6945, 11, 75648, 555, 40120, 5108, 505, 279, 8582, 2163, 11, 5039, 1063, 315, 279, 8205, 315, 7479, 30953, 13468, 389, 279, 10007, 25685, 33247, 2107, 13, 5810, 11, 279, 8582, 7479, 374, 59201, 449, 264, 10824, 315, 30472, 278, 12912, 3549, 555, 26682, 79065, 82, 323, 3544, 11, 4661, 28029, 63008, 14454, 555, 18678, 13, 2360, 832, 8964, 7041, 1268, 279, 3544, 15952, 6426, 323, 28029, 63008, 527, 14454, 11, 719, 814, 5101, 311, 1121, 505, 18678, 902, 3445, 430, 2555, 30456, 1521, 63008, 706, 1027, 7108, 13, 39578, 11, 279, 10054, 430, 3727, 709, 1790, 315, 279, 25685, 3769, 706, 17354, 3719, 17251, 291, 11, 10923, 279, 7479, 311, 30811, 323, 1893, 63008, 627, 2028, 21725, 8121, 24507, 269, 320, 44, 16929, 8, 21725, 44088, 2058, 14669, 320, 44, 7767, 8, 1684, 315, 279, 10007, 25685, 2107, 7479, 574, 12457, 2391, 18561, 10683, 389, 6841, 220, 18, 11, 220, 2550, 24, 13, 42867, 3221, 220, 4044, 13, 15, 11877, 50, 11, 220, 20, 13, 24, 11877, 54, 11, 420, 1684, 14861, 220, 18, 555, 220, 18, 41668, 320, 16, 13, 24, 865, 220, 16, 13, 24, 8931, 8, 520, 220, 16, 13, 20, 20645, 824, 13252, 13, 578, 63008, 527, 1193, 264, 2478, 20645, 5655, 11, 520, 1455, 11, 439, 11075, 555, 30090, 35612, 6445, 304, 1124, 627, 30700, 258, 11746, 10170, 15264, 323, 279, 7188, 10181, 315, 12053, 5918, 279, 386, 7767, 1701, 24804, 12035, 505, 279, 21725, 35141, 9131, 13, 92749, 50, 27149, 279, 6382, 505, 1202, 13077, 304, 5960, 18842, 11, 9362, 13, 578, 25365, 3998, 34003, 32184, 596, 21725, 24507, 269, 25927, 5907, 27149, 279, 21725, 8121, 24507, 269, 42640, 449, 1202, 13076, 8427, 11, 85236, 11826, 39616, 37164, 1233, 11, 505, 13077, 304, 83550, 11, 9362, 323, 22898, 11, 7432, 13, 128001 ]
[ -100, 791, 12074, 3549, 6685, 55086, 292, 13761, 430, 617, 1027, 220, 20, 18028, 20, 10166, 17, 323, 220, 605, 18028, 605, 10166, 17, 1389, 264, 2763, 11493, 1109, 279, 220, 16, 13, 20, 865, 220, 16, 13, 20, 10166, 17, 6305, 35901, 1903, 304, 264, 10278, 11, 4869, 9333, 1109, 13076, 6685, 55086, 292, 21988, 13, 16666, 5573, 25, 507, 3931, 198, 12, 3700, 869, 4991, 3695, 527, 28448, 311, 387, 264, 1847, 11843, 4091, 304, 3938, 6685, 55086, 292, 1440, 58523, 4869, 520, 3118, 46753, 505, 264, 10015, 25605, 61961, 323, 21701, 304, 2515, 1968, 994, 31790, 439, 1790, 439, 264, 11493, 13167, 198, 12, 57116, 617, 13241, 279, 17269, 1918, 323, 2515, 1968, 315, 6685, 55086, 292, 2849, 13761, 555, 27890, 279, 71261, 17135, 449, 69911, 2411, 82882, 6957, 59251, 198, 12, 578, 824, 869, 4991, 635, 49277, 6324, 2949, 279, 13241, 6685, 55086, 292, 13761, 527, 59884, 323, 617, 11493, 41936, 11, 449, 17162, 42655, 198, 12, 9062, 220, 20, 865, 220, 20, 10166, 17, 323, 220, 605, 865, 220, 605, 10166, 17, 824, 869, 4991, 635, 13761, 18908, 27639, 92126, 369, 927, 220, 1041, 15, 4207, 198, 60210, 505, 279, 7777, 258, 14406, 10181, 315, 10170, 323, 14521, 58523, 44825, 9304, 320, 46, 3931, 8, 617, 3549, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 449, 13241, 20334, 323, 2515, 1968, 1555, 279, 1005, 315, 264, 6883, 502, 59251, 5603, 430, 39920, 42655, 13, 11205, 14955, 617, 1027, 10675, 389, 279, 220, 914, 339, 315, 6186, 220, 2366, 16, 11, 304, 42041, 55371, 488, 51352, 627, 3976, 869, 4991, 3695, 527, 4762, 279, 1455, 26455, 17135, 369, 279, 1828, 43927, 315, 6685, 55086, 292, 1440, 58523, 11, 69707, 505, 92126, 315, 2380, 13, 23, 4, 311, 220, 914, 13, 20, 4, 304, 20025, 927, 264, 13515, 13, 3700, 869, 4991, 635, 6685, 55086, 292, 7917, 527, 3428, 2853, 311, 8312, 323, 617, 279, 4754, 311, 387, 33045, 11, 7982, 872, 60112, 13, 4452, 1403, 32116, 38913, 2565, 279, 1888, 1648, 311, 8518, 2065, 25, 872, 6996, 315, 1317, 9860, 20334, 323, 27129, 449, 709, 94152, 627, 2118, 3976, 869, 4991, 635, 7384, 374, 45350, 323, 35473, 311, 66266, 11, 902, 24897, 279, 6685, 55086, 292, 7917, 8209, 311, 2567, 709, 27639, 2515, 1968, 927, 264, 1633, 1317, 892, 2476, 9932, 1176, 20514, 2999, 13, 4673, 78, 90684, 51491, 11, 264, 1772, 38083, 278, 18640, 2949, 279, 507, 3931, 55371, 488, 51352, 323, 16990, 23199, 8113, 11, 6197, 555, 17054, 816, 370, 287, 58094, 13, 1054, 3112, 3582, 2678, 28935, 824, 869, 4991, 635, 6685, 55086, 292, 7917, 617, 264, 27639, 2515, 1968, 323, 6920, 704, 7154, 304, 5369, 311, 872, 51692, 38495, 11, 439, 5246, 439, 31790, 439, 1790, 439, 11493, 6685, 55086, 292, 13761, 11, 279, 2515, 1968, 21701, 49216, 644, 264, 15325, 6685, 55086, 292, 59951, 11, 279, 824, 869, 4991, 635, 6324, 15812, 2949, 279, 4851, 11, 28974, 291, 1990, 1403, 7710, 13931, 323, 1403, 80390, 13, 9393, 279, 49277, 824, 869, 4991, 635, 6324, 91111, 53121, 11, 433, 27983, 2853, 35991, 902, 1243, 35855, 311, 279, 80390, 1555, 279, 7710, 13931, 323, 8356, 264, 3118, 627, 8284, 27163, 11, 9160, 75790, 2949, 279, 824, 869, 4991, 635, 6324, 323, 42655, 389, 279, 23546, 1990, 4040, 1732, 824, 869, 4991, 635, 41936, 649, 24927, 279, 35855, 315, 2853, 35991, 505, 279, 824, 869, 4991, 635, 6324, 311, 279, 7710, 13931, 11, 44649, 2515, 1968, 13, 20449, 19025, 323, 24463, 1101, 649, 3240, 311, 96630, 279, 824, 869, 4991, 635, 6324, 520, 1521, 23011, 13335, 11, 2875, 6147, 279, 61961, 315, 279, 59951, 627, 3976, 869, 4991, 635, 6685, 55086, 292, 2849, 54475, 1397, 264, 1396, 315, 13931, 311, 14816, 13, 578, 49277, 824, 869, 4991, 635, 6324, 91111, 53121, 323, 27983, 2853, 35991, 13, 578, 7710, 13931, 7710, 279, 2853, 35991, 311, 279, 80390, 11, 28965, 264, 3118, 13, 578, 49277, 824, 869, 4991, 635, 6324, 374, 27367, 505, 1690, 26110, 41936, 13, 578, 23546, 1990, 1521, 41936, 11, 323, 2204, 42655, 2949, 279, 824, 869, 4991, 635, 5818, 11, 71707, 9160, 75790, 11, 18979, 279, 2515, 1968, 323, 61961, 315, 279, 6685, 55086, 292, 54475, 13, 16666, 5573, 25, 507, 3931, 198, 2118, 60784, 709, 374, 5107, 439, 264, 1121, 315, 1606, 279, 13761, 7417, 304, 13167, 11, 433, 753, 49331, 311, 8312, 264, 14113, 6324, 315, 824, 869, 4991, 635, 11, 323, 1521, 42655, 2543, 704, 311, 387, 5066, 38617, 2476, 4613, 2999, 13, 51491, 13, 1054, 1687, 4460, 311, 7142, 264, 11827, 315, 13354, 1113, 14880, 13761, 430, 20669, 1521, 4819, 49216, 21886, 398, 11, 1455, 6685, 55086, 292, 7917, 9124, 617, 264, 48777, 824, 869, 4991, 635, 6324, 1389, 21742, 220, 2636, 20622, 33504, 304, 26839, 13, 763, 7434, 11, 264, 48777, 824, 869, 4991, 635, 6324, 36050, 2515, 1968, 11, 1606, 279, 2853, 35991, 617, 1790, 2753, 6138, 311, 11879, 311, 11322, 279, 7710, 13931, 3485, 323, 24923, 13, 4452, 994, 13354, 1113, 11493, 13761, 11, 279, 12074, 11352, 314, 9210, 264, 92, 48777, 5818, 6118, 8040, 5066, 42655, 323, 9160, 75790, 627, 791, 12074, 28520, 41867, 311, 1304, 220, 20, 865, 220, 20, 10166, 17, 323, 220, 605, 865, 220, 605, 10166, 17, 6685, 55086, 292, 13761, 430, 13282, 824, 869, 4991, 635, 9698, 449, 2033, 279, 26839, 627, 72326, 505, 279, 507, 3931, 55371, 488, 51352, 323, 16990, 23199, 8113, 35883, 279, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 304, 11633, 11, 91000, 264, 8571, 323, 22068, 40508, 13, 16666, 5573, 25, 507, 3931, 198, 8284, 27163, 11, 3339, 59884, 824, 869, 4991, 635, 9698, 2751, 1618, 449, 1202, 4443, 743, 315, 11774, 13, 3700, 869, 4991, 3695, 527, 264, 5699, 315, 17135, 902, 649, 387, 14614, 27367, 555, 74150, 1690, 32246, 45925, 439, 459, 4320, 1306, 902, 62174, 1124, 311, 64568, 553, 627, 8284, 27163, 11, 279, 14248, 28214, 311, 73739, 264, 27639, 14343, 5357, 315, 3063, 80087, 483, 1389, 832, 315, 1690, 71261, 17135, 1511, 311, 3169, 824, 869, 4991, 635, 1389, 430, 574, 4934, 369, 279, 59884, 9698, 13, 23212, 814, 11352, 430, 279, 64568, 2065, 3094, 574, 4062, 323, 71093, 69855, 11, 779, 279, 12314, 9698, 13282, 1690, 2678, 41936, 11, 449, 5066, 24875, 23546, 627, 791, 12074, 28520, 3779, 69911, 2411, 82882, 311, 13334, 279, 2092, 392, 1429, 315, 3063, 80087, 483, 13, 1115, 37938, 5535, 3063, 80087, 483, 311, 387, 5066, 42147, 56767, 2949, 279, 5933, 69996, 11, 6522, 311, 264, 5066, 14113, 824, 869, 4991, 635, 5818, 449, 264, 2763, 11493, 41936, 323, 17162, 42655, 13, 3383, 1677, 689, 574, 3010, 3117, 14075, 505, 279, 824, 869, 4991, 635, 4320, 11, 18189, 279, 13112, 315, 3242, 38333, 4871, 279, 824, 869, 4991, 635, 5818, 627, 1383, 2737, 69911, 2411, 82882, 11, 279, 84913, 824, 869, 4991, 635, 5818, 1047, 17162, 41936, 315, 264, 264, 2763, 11493, 13167, 11, 44649, 279, 8205, 315, 24875, 23546, 13, 16666, 5573, 25, 507, 3931, 198, 15777, 11, 279, 6685, 55086, 292, 13761, 30387, 220, 20, 865, 220, 20, 10166, 17, 11007, 459, 2515, 1968, 315, 220, 975, 13, 2131, 13689, 709, 505, 220, 1032, 13, 2705, 4, 304, 13761, 1903, 449, 704, 69911, 2411, 82882, 11, 323, 617, 1027, 13171, 315, 990, 369, 220, 6330, 15, 4207, 1389, 927, 1403, 4038, 1389, 520, 7191, 1109, 220, 1490, 4, 315, 420, 2515, 1968, 627, 791, 11493, 220, 605, 865, 220, 605, 10166, 17, 13761, 1047, 459, 2515, 1968, 315, 220, 605, 13, 914, 4, 323, 14958, 520, 27639, 21986, 315, 2515, 1968, 369, 927, 220, 5120, 15, 4207, 11, 477, 7154, 220, 2790, 2919, 627, 49977, 374, 279, 6156, 892, 314, 9210, 264, 92, 61961, 19179, 706, 1027, 5068, 369, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 315, 420, 13167, 11, 902, 374, 3604, 57399, 2476, 9932, 2999, 13, 51491, 627, 2028, 990, 574, 7396, 555, 279, 507, 3931, 14521, 58523, 34871, 323, 38710, 12877, 753, 38091, 8838, 22197, 56188, 6826, 13, 4314, 20124, 527, 264, 26455, 3094, 8469, 2949, 279, 2271, 311, 8312, 8518, 28935, 6685, 55086, 292, 13761, 449, 2515, 1968, 323, 20334, 311, 2489, 872, 51692, 38495, 627, 43061, 279, 17876, 6566, 315, 872, 6492, 11, 279, 5687, 6787, 311, 30536, 872, 5603, 5217, 555, 13354, 1113, 279, 824, 869, 4991, 635, 6685, 55086, 292, 13761, 35988, 38752, 6108, 15174, 11, 70351, 1109, 1555, 279, 1005, 315, 4320, 11, 323, 527, 3604, 19969, 311, 5569, 439, 1790, 439, 220, 868, 865, 220, 868, 10166, 17, 13761, 627, 2118, 47439, 505, 10278, 28935, 6685, 55086, 292, 7917, 311, 4330, 865, 220, 20, 10166, 17, 6685, 55086, 292, 13761, 574, 9511, 1245, 13, 2009, 14550, 439, 1790, 439, 6685, 55086, 292, 13761, 430, 617, 1027, 220, 605, 865, 220, 605, 10166, 17, 574, 1524, 49331, 13, 1628, 2133, 311, 37755, 865, 220, 868, 10166, 17, 6685, 55086, 292, 13761, 649, 387, 49331, 38913, 2476, 9932, 2999, 13, 51491, 13, 1054, 11458, 279, 5687, 374, 19762, 8469, 311, 279, 3575, 49216, 9032, 25, 1054, 3407, 278, 481, 37407, 367, 315, 871, 1954, 10166, 17, 3700, 869, 4991, 635, 11064, 55086, 292, 44665, 449, 871, 1041, 15, 305, 90396, 81238, 36283, 6751, 3196, 389, 279, 61748, 11360, 78719, 863, 555, 4673, 78, 90684, 51491, 11, 423, 6043, 31021, 56, 647, 12103, 11, 34297, 7777, 13, 1952, 78, 11, 28372, 80, 28323, 38805, 11, 25191, 80, 28323, 22546, 11, 473, 2005, 37120, 11, 13203, 83227, 20614, 939, 3864, 11, 5843, 7006, 1229, 19260, 11, 1901, 647, 71, 3524, 38805, 323, 816, 370, 287, 58094, 11, 220, 914, 6186, 220, 2366, 16, 11, 42041, 55371, 488, 51352, 627, 91092, 25, 220, 605, 13, 1041, 17, 14520, 268, 76, 13, 2366, 6268, 22708, 128001, -100, 2028, 6945, 11, 75648, 555, 40120, 5108, 505, 279, 8582, 2163, 11, 5039, 1063, 315, 279, 8205, 315, 7479, 30953, 13468, 389, 279, 10007, 25685, 33247, 2107, 13, 5810, 11, 279, 8582, 7479, 374, 59201, 449, 264, 10824, 315, 30472, 278, 12912, 3549, 555, 26682, 79065, 82, 323, 3544, 11, 4661, 28029, 63008, 14454, 555, 18678, 13, 2360, 832, 8964, 7041, 1268, 279, 3544, 15952, 6426, 323, 28029, 63008, 527, 14454, 11, 719, 814, 5101, 311, 1121, 505, 18678, 902, 3445, 430, 2555, 30456, 1521, 63008, 706, 1027, 7108, 13, 39578, 11, 279, 10054, 430, 3727, 709, 1790, 315, 279, 25685, 3769, 706, 17354, 3719, 17251, 291, 11, 10923, 279, 7479, 311, 30811, 323, 1893, 63008, 627, 2028, 21725, 8121, 24507, 269, 320, 44, 16929, 8, 21725, 44088, 2058, 14669, 320, 44, 7767, 8, 1684, 315, 279, 10007, 25685, 2107, 7479, 574, 12457, 2391, 18561, 10683, 389, 6841, 220, 18, 11, 220, 2550, 24, 13, 42867, 3221, 220, 4044, 13, 15, 11877, 50, 11, 220, 20, 13, 24, 11877, 54, 11, 420, 1684, 14861, 220, 18, 555, 220, 18, 41668, 320, 16, 13, 24, 865, 220, 16, 13, 24, 8931, 8, 520, 220, 16, 13, 20, 20645, 824, 13252, 13, 578, 63008, 527, 1193, 264, 2478, 20645, 5655, 11, 520, 1455, 11, 439, 11075, 555, 30090, 35612, 6445, 304, 1124, 627, 30700, 258, 11746, 10170, 15264, 323, 279, 7188, 10181, 315, 12053, 5918, 279, 386, 7767, 1701, 24804, 12035, 505, 279, 21725, 35141, 9131, 13, 92749, 50, 27149, 279, 6382, 505, 1202, 13077, 304, 5960, 18842, 11, 9362, 13, 578, 25365, 3998, 34003, 32184, 596, 21725, 24507, 269, 25927, 5907, 27149, 279, 21725, 8121, 24507, 269, 42640, 449, 1202, 13076, 8427, 11, 85236, 11826, 39616, 37164, 1233, 11, 505, 13077, 304, 83550, 11, 9362, 323, 22898, 11, 7432, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 ]
[ 128000, 2192, 2262, 14143, 3997, 7526, 3639, 374, 15592, 31588, 9059, 5380, 15836, 31588, 9059, 374, 264, 2262, 430, 374, 3549, 555, 21075, 11478, 627, 2181, 374, 1093, 264, 12585, 430, 649, 3350, 389, 17981, 315, 12966, 13, 1102, 649, 7068, 2262, 369, 26743, 11, 3674, 3772, 8158, 11, 14058, 323, 1023, 8661, 7384, 627, 7009, 527, 1101, 13882, 1511, 369, 6130, 2532, 6369, 63005, 627, 64298, 1005, 15592, 31588, 9059, 311, 69711, 872, 8661, 323, 6130, 2532, 11618, 779, 814, 1541, 956, 617, 311, 18467, 1274, 14926, 13, 2435, 1120, 617, 311, 3780, 832, 315, 1521, 15592, 4477, 57619, 323, 433, 690, 656, 682, 279, 990, 369, 1124, 627, 4438, 1587, 2262, 15592, 990, 5380, 2831, 15592, 374, 264, 19576, 315, 3823, 11478, 430, 649, 387, 1511, 311, 7068, 2262, 13, 1102, 649, 1935, 264, 743, 315, 11374, 323, 7068, 502, 2262, 3196, 389, 1884, 11374, 627, 791, 1988, 1436, 387, 279, 8712, 11, 279, 12974, 16630, 11, 477, 1524, 6883, 7899, 13, 9059, 15592, 5097, 1521, 11374, 323, 27983, 502, 2262, 369, 499, 2085, 904, 1205, 369, 3823, 21623, 520, 682, 627, 2831, 15592, 374, 459, 21075, 11478, 902, 5829, 5780, 6975, 311, 56459, 264, 3823, 753, 5845, 311, 1893, 1495, 13, 1102, 649, 1935, 1063, 1401, 2038, 323, 8356, 264, 6710, 315, 502, 1495, 430, 374, 32789, 311, 1148, 706, 1027, 5300, 555, 1202, 1217, 627, 6854, 5195, 11388, 15592, 16581, 2262, 5380, 14783, 706, 1027, 3318, 389, 15592, 35915, 13539, 5627, 311, 3371, 3508, 264, 6710, 315, 2262, 374, 8066, 555, 264, 3823, 477, 539, 13, 1115, 649, 387, 17427, 555, 42118, 279, 11914, 6070, 323, 12912, 304, 4221, 323, 3508, 433, 374, 5933, 477, 539, 627, 7009, 617, 4529, 420, 832, 3094, 4726, 323, 3549, 459, 12384, 430, 649, 11388, 15592, 16581, 2262, 449, 709, 311, 220, 6365, 4, 13708, 13, 1115, 1053, 3152, 430, 5195, 1436, 40475, 704, 810, 26396, 505, 872, 2778, 4817, 3135, 6959, 902, 1053, 387, 264, 2294, 1520, 311, 3566, 64711, 889, 1390, 311, 7222, 5190, 304, 279, 2778, 3135, 627, 2170, 264, 2262, 7061, 11, 358, 1097, 15320, 3411, 369, 7526, 311, 1520, 757, 449, 279, 2683, 13, 358, 1205, 311, 2567, 709, 449, 279, 3596, 49961, 18845, 304, 279, 5064, 779, 430, 856, 990, 374, 2744, 709, 311, 2457, 13, 2100, 994, 358, 1766, 704, 922, 15592, 4477, 7526, 358, 7020, 433, 574, 2555, 5922, 4560, 627, 791, 1888, 15592, 2262, 14143, 374, 2663, 3489, 484, 24406, 13, 1102, 596, 459, 4652, 14143, 5507, 430, 706, 15042, 304, 23354, 927, 892, 323, 433, 706, 1063, 5128, 7155, 4519, 627, 2232, 484, 24406, 27983, 9908, 315, 904, 3160, 11, 904, 8712, 11, 323, 649, 1524, 3048, 9908, 505, 1120, 922, 904, 2816, 389, 279, 7757, 449, 1120, 832, 4299, 315, 264, 3215, 13, 1115, 3445, 430, 499, 1541, 956, 617, 311, 8493, 4207, 477, 2919, 15389, 369, 2038, 389, 701, 1866, 994, 499, 649, 17631, 389, 3489, 484, 24406, 311, 7068, 682, 13124, 315, 2262, 369, 701, 3997, 627, 15346, 358, 1005, 264, 15592, 2262, 14143, 5380, 2170, 2262, 9221, 459, 3596, 56657, 38983, 11, 433, 649, 387, 2653, 311, 2567, 709, 449, 279, 7631, 13, 1115, 374, 1405, 15592, 4477, 57619, 2586, 304, 13, 2435, 649, 3493, 13291, 311, 2262, 16483, 555, 3794, 9463, 315, 7061, 753, 2565, 323, 24038, 2262, 6848, 520, 5569, 627, 15836, 4477, 57619, 527, 3629, 1511, 555, 13607, 323, 7528, 8661, 5220, 1606, 814, 1205, 264, 3544, 3392, 315, 2262, 369, 2204, 19647, 323, 58971, 288, 13, 4427, 5220, 1005, 1124, 994, 814, 1205, 311, 7068, 2262, 369, 264, 3230, 8712, 477, 35149, 627, 32, 1160, 15592, 2262, 44163, 311, 1427, 520, 323, 1456, 627, 3947, 527, 1690, 7526, 430, 649, 1520, 499, 7068, 2262, 11, 719, 539, 682, 315, 1124, 527, 1903, 18813, 627, 1271, 3665, 499, 892, 11, 358, 4070, 20276, 264, 1160, 315, 279, 1888, 15592, 2262, 44163, 779, 499, 649, 1212, 1701, 1124, 3432, 627, 49, 88, 376, 374, 264, 2262, 8661, 3241, 2883, 430, 8779, 8403, 7068, 2262, 449, 279, 1520, 315, 59294, 22107, 627, 49, 88, 376, 753, 15592, 41503, 5452, 11, 26775, 376, 55, 11, 374, 264, 9624, 6108, 5507, 430, 5829, 5933, 4221, 8863, 323, 5780, 6975, 311, 1520, 5220, 3498, 1579, 22867, 2262, 13, 1102, 5113, 988, 279, 4553, 1920, 315, 2262, 9659, 505, 4623, 33289, 311, 3446, 38669, 311, 11572, 627, 791, 26775, 376, 55, 5452, 374, 6319, 369, 682, 8661, 7411, 2737, 66043, 55572, 11, 8743, 15749, 11, 6763, 612, 8661, 20258, 11, 6883, 20258, 323, 810, 13, 578, 5452, 5825, 279, 5995, 7526, 369, 1475, 8661, 2128, 4562, 2085, 3515, 311, 5542, 477, 2274, 904, 7512, 36734, 627, 32, 5526, 3187, 315, 15592, 4477, 18328, 374, 54388, 14338, 13, 1102, 374, 264, 955, 315, 15592, 3048, 26372, 5507, 430, 649, 387, 1511, 555, 2262, 16483, 311, 7068, 2262, 6848, 9651, 627, 94738, 14338, 4375, 555, 4737, 279, 2728, 21513, 323, 1401, 32847, 439, 1988, 11, 1243, 24038, 9959, 2262, 3196, 389, 1884, 828, 627, 54, 32929, 649, 1101, 20684, 1988, 872, 1866, 6848, 311, 7068, 810, 2262, 11, 719, 433, 3250, 956, 617, 311, 387, 682, 3549, 555, 12966, 627, 5618, 4068, 3770, 323, 4430, 904, 11349, 15592, 2262, 44163, 627, 128001, 128000, 2028, 4376, 3878, 8712, 374, 3451, 3923, 374, 279, 84425, 1093, 1405, 358, 3974, 45258, 439, 961, 315, 420, 279, 2911, 1051, 4691, 311, 1935, 1063, 25232, 477, 26610, 872, 2254, 54242, 627, 1687, 527, 1457, 1701, 1521, 439, 20343, 369, 459, 1989, 2447, 11, 6041, 449, 264, 3254, 1584, 13633, 315, 5596, 430, 1057, 8071, 374, 18182, 15107, 311, 13, 128001, 128000, 27725, 315, 78103, 19152, 11, 3907, 315, 24562, 11, 24562, 11, 3723, 15422, 198, 24141, 25, 220, 2371, 94871, 12, 2366, 17, 11, 96433, 1250, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 26, 12865, 12893, 25, 220, 2589, 94871, 12, 2366, 17, 11, 5075, 62142, 2360, 13, 622, 27142, 12, 1313, 12, 220, 20460, 1987, 5417, 48, 1237, 78851, 25, 220, 972, 94871, 12, 2366, 17, 11, 43707, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 26, 64389, 25, 220, 1691, 94871, 12, 2366, 17, 11, 96433, 1250, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 4444, 1237, 30114, 25, 220, 1591, 94871, 12, 2366, 17, 11, 59670, 25, 220, 605, 13, 19561, 17, 14, 15966, 16, 12, 20422, 22, 13, 21, 815, 17, 13, 6726, 198, 27312, 369, 810, 5552, 9908, 520, 8483, 612, 19832, 25, 10139, 315, 78103, 23199, 198, 791, 4007, 315, 79383, 11, 872, 18939, 323, 872, 22639, 374, 3967, 439, 33403, 275, 2508, 13, 578, 7036, 315, 33403, 275, 2508, 439, 264, 24156, 4007, 374, 11075, 539, 555, 279, 47120, 477, 4676, 304, 4360, 555, 872, 1749, 315, 14209, 13, 1115, 24897, 430, 433, 27741, 389, 12823, 505, 36788, 1093, 2849, 34458, 11, 17332, 98588, 11, 17332, 52755, 11, 31206, 34458, 11, 33119, 2508, 11, 56104, 11, 15740, 323, 72546, 311, 1893, 264, 39975, 315, 1023, 5151, 198, 53654, 33403, 275, 2508, 374, 832, 315, 279, 1455, 3062, 23962, 315, 33403, 275, 2508, 2533, 433, 12789, 449, 79383, 430, 34527, 12966, 11, 279, 19338, 814, 5353, 11, 279, 14830, 6945, 323, 279, 3823, 13010, 311, 1124, 13, 1102, 1101, 14861, 279, 1690, 20414, 369, 13493, 14759, 11, 27723, 323, 5616, 27252, 323, 26991, 19338, 627, 32, 85573, 374, 264, 1912, 315, 44304, 430, 6439, 389, 477, 4871, 2500, 47120, 3967, 439, 279, 3552, 13, 1856, 300, 2658, 2411, 91799, 2637, 279, 18940, 13028, 276, 85573, 430, 11384, 69263, 374, 832, 315, 1521, 20566, 13, 393, 13, 282, 17356, 121481, 372, 11, 393, 13, 69263, 68, 11, 393, 13, 18434, 710, 323, 393, 13, 25568, 1604, 527, 279, 3116, 3823, 3502, 3836, 1245, 9606, 13, 2009, 819, 1543, 3557, 285, 374, 9057, 555, 88649, 54230, 44304, 2663, 514, 819, 1543, 3557, 285, 13, 1357, 65050, 30020, 9057, 555, 4968, 21781, 71853, 323, 15754, 569, 689, 320, 67, 1065, 306, 727, 323, 58705, 77035, 64, 570, 5124, 380, 437, 7942, 91799, 2637, 468, 74712, 50929, 69407, 299, 728, 72, 11, 64224, 859, 39542, 355, 320, 21543, 56741, 8, 323, 24172, 59386, 91799, 13, 527, 92520, 54230, 44304, 323, 63900, 63000, 320, 50222, 1083, 17323, 8, 320, 31147, 365, 494, 570, 350, 5908, 11, 1156, 98141, 323, 326, 560, 527, 77594, 454, 73942, 3695, 627, 78893, 4500, 11, 62057, 2508, 26969, 323, 279, 4007, 315, 1167, 9186, 20274, 527, 682, 10507, 315, 6593, 33403, 275, 2508, 13, 578, 4007, 315, 79383, 34527, 82, 22489, 10099, 477, 11705, 7100, 18151, 304, 30029, 477, 15715, 582, 10745, 7224, 627, 32, 12523, 22374, 7086, 14103, 25045, 1446, 292, 460, 57622, 19335, 389, 279, 58704, 315, 8961, 10099, 13, 578, 88999, 2469, 44355, 323, 46764, 1139, 279, 26000, 14718, 279, 10065, 311, 7831, 13, 23322, 7922, 279, 14726, 315, 85573, 28896, 1253, 12576, 304, 2731, 8830, 1268, 1521, 28896, 1782, 505, 79283, 28896, 304, 12966, 13, 24296, 11, 13128, 78335, 1253, 12576, 304, 279, 5623, 18841, 1920, 510, 16, 12, 20, 27218, 4368, 300, 3695, 617, 264, 93858, 8141, 4315, 3552, 7931, 13, 15636, 11, 279, 8857, 315, 79383, 44935, 304, 264, 2678, 1396, 315, 1274, 13, 1115, 18027, 7612, 279, 14740, 315, 6617, 17332, 29564, 81898, 555, 33403, 275, 22012, 13, 94137, 3695, 649, 3493, 2038, 389, 279, 72546, 315, 279, 3552, 7187, 13, 94137, 635, 10977, 2643, 387, 1511, 304, 82596, 34458, 311, 60541, 1990, 2204, 22673, 315, 279, 1890, 7795, 9606, 1080, 50457, 304, 264, 3813, 13, 94137, 3695, 1101, 617, 264, 1396, 315, 12742, 4519, 323, 2324, 62474, 5528, 430, 2187, 1124, 311, 34527, 872, 18939, 627, 791, 23205, 20057, 315, 33403, 49086, 9606, 3727, 433, 5107, 369, 6160, 22012, 311, 70755, 323, 49639, 1124, 13, 9393, 1690, 79383, 527, 1633, 5367, 13523, 11, 26730, 1711, 7902, 1990, 9606, 11, 3293, 83787, 304, 1701, 15922, 311, 10765, 3927, 9606, 323, 21635, 279, 5133, 1990, 5315, 520, 5370, 3827, 48228, 29505, 617, 17033, 9193, 15525, 311, 33403, 275, 22012, 627, 644, 220, 8953, 16, 11, 17958, 648, 5355, 12336, 84, 17378, 6292, 1247, 11054, 15754, 569, 689, 32703, 2067, 689, 323, 10815, 433, 311, 330, 26301, 1866, 20784, 90872, 1210, 1283, 11352, 420, 18940, 13028, 276, 85573, 304, 12966, 369, 279, 1176, 892, 323, 433, 574, 279, 1176, 832, 568, 5602, 1234, 264, 73757, 13, 2522, 98141, 374, 9057, 555, 279, 85573, 296, 635, 13951, 1030, 418, 288, 1156, 370, 77099, 13, 10771, 311, 15155, 12074, 11, 76952, 18606, 11620, 13789, 16279, 323, 7923, 582, 18614, 356, 478, 21446, 11, 889, 4756, 872, 14955, 304, 220, 8953, 22, 11, 1304, 1156, 98141, 279, 1176, 3823, 8624, 449, 264, 27470, 90090, 59557, 8479, 13, 89699, 3816, 72, 14407, 77594, 454, 73942, 3695, 323, 842, 454, 73942, 3695, 304, 279, 1890, 2363, 11, 70628, 3675, 3059, 1357, 11368, 23536, 2672, 15363, 47669, 763, 751, 10462, 320, 849, 69597, 315, 279, 24367, 315, 763, 55529, 8, 449, 45543, 315, 31057, 11, 39149, 72188, 11722, 83861, 323, 33012, 26587, 1344, 10647, 13, 128001, 128000, 6102, 9336, 3984, 757, 449, 5043, 11, 6721, 2532, 11, 2038, 323, 1063, 15325, 9650, 13, 2435, 8710, 25152, 323, 872, 12718, 1051, 1790, 810, 15022, 1109, 1884, 315, 1023, 13307, 13, 358, 2846, 1633, 264, 6206, 10539, 11680, 26680, 11, 779, 358, 1193, 1005, 13307, 994, 814, 3493, 907, 369, 3300, 13, 358, 2846, 16913, 59497, 656, 430, 11, 779, 358, 2846, 6380, 311, 7079, 1124, 13, 128001, 128000, 40, 7070, 3021, 311, 617, 264, 912, 9246, 6369, 323, 4358, 1148, 584, 649, 3085, 499, 11, 2225, 6462, 323, 7076, 33824, 4999, 128001 ]
[ -100, 2192, 2262, 14143, 3997, 7526, 3639, 374, 15592, 31588, 9059, 5380, 15836, 31588, 9059, 374, 264, 2262, 430, 374, 3549, 555, 21075, 11478, 627, 2181, 374, 1093, 264, 12585, 430, 649, 3350, 389, 17981, 315, 12966, 13, 1102, 649, 7068, 2262, 369, 26743, 11, 3674, 3772, 8158, 11, 14058, 323, 1023, 8661, 7384, 627, 7009, 527, 1101, 13882, 1511, 369, 6130, 2532, 6369, 63005, 627, 64298, 1005, 15592, 31588, 9059, 311, 69711, 872, 8661, 323, 6130, 2532, 11618, 779, 814, 1541, 956, 617, 311, 18467, 1274, 14926, 13, 2435, 1120, 617, 311, 3780, 832, 315, 1521, 15592, 4477, 57619, 323, 433, 690, 656, 682, 279, 990, 369, 1124, 627, 4438, 1587, 2262, 15592, 990, 5380, 2831, 15592, 374, 264, 19576, 315, 3823, 11478, 430, 649, 387, 1511, 311, 7068, 2262, 13, 1102, 649, 1935, 264, 743, 315, 11374, 323, 7068, 502, 2262, 3196, 389, 1884, 11374, 627, 791, 1988, 1436, 387, 279, 8712, 11, 279, 12974, 16630, 11, 477, 1524, 6883, 7899, 13, 9059, 15592, 5097, 1521, 11374, 323, 27983, 502, 2262, 369, 499, 2085, 904, 1205, 369, 3823, 21623, 520, 682, 627, 2831, 15592, 374, 459, 21075, 11478, 902, 5829, 5780, 6975, 311, 56459, 264, 3823, 753, 5845, 311, 1893, 1495, 13, 1102, 649, 1935, 1063, 1401, 2038, 323, 8356, 264, 6710, 315, 502, 1495, 430, 374, 32789, 311, 1148, 706, 1027, 5300, 555, 1202, 1217, 627, 6854, 5195, 11388, 15592, 16581, 2262, 5380, 14783, 706, 1027, 3318, 389, 15592, 35915, 13539, 5627, 311, 3371, 3508, 264, 6710, 315, 2262, 374, 8066, 555, 264, 3823, 477, 539, 13, 1115, 649, 387, 17427, 555, 42118, 279, 11914, 6070, 323, 12912, 304, 4221, 323, 3508, 433, 374, 5933, 477, 539, 627, 7009, 617, 4529, 420, 832, 3094, 4726, 323, 3549, 459, 12384, 430, 649, 11388, 15592, 16581, 2262, 449, 709, 311, 220, 6365, 4, 13708, 13, 1115, 1053, 3152, 430, 5195, 1436, 40475, 704, 810, 26396, 505, 872, 2778, 4817, 3135, 6959, 902, 1053, 387, 264, 2294, 1520, 311, 3566, 64711, 889, 1390, 311, 7222, 5190, 304, 279, 2778, 3135, 627, 2170, 264, 2262, 7061, 11, 358, 1097, 15320, 3411, 369, 7526, 311, 1520, 757, 449, 279, 2683, 13, 358, 1205, 311, 2567, 709, 449, 279, 3596, 49961, 18845, 304, 279, 5064, 779, 430, 856, 990, 374, 2744, 709, 311, 2457, 13, 2100, 994, 358, 1766, 704, 922, 15592, 4477, 7526, 358, 7020, 433, 574, 2555, 5922, 4560, 627, 791, 1888, 15592, 2262, 14143, 374, 2663, 3489, 484, 24406, 13, 1102, 596, 459, 4652, 14143, 5507, 430, 706, 15042, 304, 23354, 927, 892, 323, 433, 706, 1063, 5128, 7155, 4519, 627, 2232, 484, 24406, 27983, 9908, 315, 904, 3160, 11, 904, 8712, 11, 323, 649, 1524, 3048, 9908, 505, 1120, 922, 904, 2816, 389, 279, 7757, 449, 1120, 832, 4299, 315, 264, 3215, 13, 1115, 3445, 430, 499, 1541, 956, 617, 311, 8493, 4207, 477, 2919, 15389, 369, 2038, 389, 701, 1866, 994, 499, 649, 17631, 389, 3489, 484, 24406, 311, 7068, 682, 13124, 315, 2262, 369, 701, 3997, 627, 15346, 358, 1005, 264, 15592, 2262, 14143, 5380, 2170, 2262, 9221, 459, 3596, 56657, 38983, 11, 433, 649, 387, 2653, 311, 2567, 709, 449, 279, 7631, 13, 1115, 374, 1405, 15592, 4477, 57619, 2586, 304, 13, 2435, 649, 3493, 13291, 311, 2262, 16483, 555, 3794, 9463, 315, 7061, 753, 2565, 323, 24038, 2262, 6848, 520, 5569, 627, 15836, 4477, 57619, 527, 3629, 1511, 555, 13607, 323, 7528, 8661, 5220, 1606, 814, 1205, 264, 3544, 3392, 315, 2262, 369, 2204, 19647, 323, 58971, 288, 13, 4427, 5220, 1005, 1124, 994, 814, 1205, 311, 7068, 2262, 369, 264, 3230, 8712, 477, 35149, 627, 32, 1160, 15592, 2262, 44163, 311, 1427, 520, 323, 1456, 627, 3947, 527, 1690, 7526, 430, 649, 1520, 499, 7068, 2262, 11, 719, 539, 682, 315, 1124, 527, 1903, 18813, 627, 1271, 3665, 499, 892, 11, 358, 4070, 20276, 264, 1160, 315, 279, 1888, 15592, 2262, 44163, 779, 499, 649, 1212, 1701, 1124, 3432, 627, 49, 88, 376, 374, 264, 2262, 8661, 3241, 2883, 430, 8779, 8403, 7068, 2262, 449, 279, 1520, 315, 59294, 22107, 627, 49, 88, 376, 753, 15592, 41503, 5452, 11, 26775, 376, 55, 11, 374, 264, 9624, 6108, 5507, 430, 5829, 5933, 4221, 8863, 323, 5780, 6975, 311, 1520, 5220, 3498, 1579, 22867, 2262, 13, 1102, 5113, 988, 279, 4553, 1920, 315, 2262, 9659, 505, 4623, 33289, 311, 3446, 38669, 311, 11572, 627, 791, 26775, 376, 55, 5452, 374, 6319, 369, 682, 8661, 7411, 2737, 66043, 55572, 11, 8743, 15749, 11, 6763, 612, 8661, 20258, 11, 6883, 20258, 323, 810, 13, 578, 5452, 5825, 279, 5995, 7526, 369, 1475, 8661, 2128, 4562, 2085, 3515, 311, 5542, 477, 2274, 904, 7512, 36734, 627, 32, 5526, 3187, 315, 15592, 4477, 18328, 374, 54388, 14338, 13, 1102, 374, 264, 955, 315, 15592, 3048, 26372, 5507, 430, 649, 387, 1511, 555, 2262, 16483, 311, 7068, 2262, 6848, 9651, 627, 94738, 14338, 4375, 555, 4737, 279, 2728, 21513, 323, 1401, 32847, 439, 1988, 11, 1243, 24038, 9959, 2262, 3196, 389, 1884, 828, 627, 54, 32929, 649, 1101, 20684, 1988, 872, 1866, 6848, 311, 7068, 810, 2262, 11, 719, 433, 3250, 956, 617, 311, 387, 682, 3549, 555, 12966, 627, 5618, 4068, 3770, 323, 4430, 904, 11349, 15592, 2262, 44163, 627, 128001, -100, 2028, 4376, 3878, 8712, 374, 3451, 3923, 374, 279, 84425, 1093, 1405, 358, 3974, 45258, 439, 961, 315, 420, 279, 2911, 1051, 4691, 311, 1935, 1063, 25232, 477, 26610, 872, 2254, 54242, 627, 1687, 527, 1457, 1701, 1521, 439, 20343, 369, 459, 1989, 2447, 11, 6041, 449, 264, 3254, 1584, 13633, 315, 5596, 430, 1057, 8071, 374, 18182, 15107, 311, 13, 128001, -100, 27725, 315, 78103, 19152, 11, 3907, 315, 24562, 11, 24562, 11, 3723, 15422, 198, 24141, 25, 220, 2371, 94871, 12, 2366, 17, 11, 96433, 1250, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 26, 12865, 12893, 25, 220, 2589, 94871, 12, 2366, 17, 11, 5075, 62142, 2360, 13, 622, 27142, 12, 1313, 12, 220, 20460, 1987, 5417, 48, 1237, 78851, 25, 220, 972, 94871, 12, 2366, 17, 11, 43707, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 26, 64389, 25, 220, 1691, 94871, 12, 2366, 17, 11, 96433, 1250, 2360, 13, 622, 27142, 12, 1313, 12, 20460, 1987, 4444, 1237, 30114, 25, 220, 1591, 94871, 12, 2366, 17, 11, 59670, 25, 220, 605, 13, 19561, 17, 14, 15966, 16, 12, 20422, 22, 13, 21, 815, 17, 13, 6726, 198, 27312, 369, 810, 5552, 9908, 520, 8483, 612, 19832, 25, 10139, 315, 78103, 23199, 198, 791, 4007, 315, 79383, 11, 872, 18939, 323, 872, 22639, 374, 3967, 439, 33403, 275, 2508, 13, 578, 7036, 315, 33403, 275, 2508, 439, 264, 24156, 4007, 374, 11075, 539, 555, 279, 47120, 477, 4676, 304, 4360, 555, 872, 1749, 315, 14209, 13, 1115, 24897, 430, 433, 27741, 389, 12823, 505, 36788, 1093, 2849, 34458, 11, 17332, 98588, 11, 17332, 52755, 11, 31206, 34458, 11, 33119, 2508, 11, 56104, 11, 15740, 323, 72546, 311, 1893, 264, 39975, 315, 1023, 5151, 198, 53654, 33403, 275, 2508, 374, 832, 315, 279, 1455, 3062, 23962, 315, 33403, 275, 2508, 2533, 433, 12789, 449, 79383, 430, 34527, 12966, 11, 279, 19338, 814, 5353, 11, 279, 14830, 6945, 323, 279, 3823, 13010, 311, 1124, 13, 1102, 1101, 14861, 279, 1690, 20414, 369, 13493, 14759, 11, 27723, 323, 5616, 27252, 323, 26991, 19338, 627, 32, 85573, 374, 264, 1912, 315, 44304, 430, 6439, 389, 477, 4871, 2500, 47120, 3967, 439, 279, 3552, 13, 1856, 300, 2658, 2411, 91799, 2637, 279, 18940, 13028, 276, 85573, 430, 11384, 69263, 374, 832, 315, 1521, 20566, 13, 393, 13, 282, 17356, 121481, 372, 11, 393, 13, 69263, 68, 11, 393, 13, 18434, 710, 323, 393, 13, 25568, 1604, 527, 279, 3116, 3823, 3502, 3836, 1245, 9606, 13, 2009, 819, 1543, 3557, 285, 374, 9057, 555, 88649, 54230, 44304, 2663, 514, 819, 1543, 3557, 285, 13, 1357, 65050, 30020, 9057, 555, 4968, 21781, 71853, 323, 15754, 569, 689, 320, 67, 1065, 306, 727, 323, 58705, 77035, 64, 570, 5124, 380, 437, 7942, 91799, 2637, 468, 74712, 50929, 69407, 299, 728, 72, 11, 64224, 859, 39542, 355, 320, 21543, 56741, 8, 323, 24172, 59386, 91799, 13, 527, 92520, 54230, 44304, 323, 63900, 63000, 320, 50222, 1083, 17323, 8, 320, 31147, 365, 494, 570, 350, 5908, 11, 1156, 98141, 323, 326, 560, 527, 77594, 454, 73942, 3695, 627, 78893, 4500, 11, 62057, 2508, 26969, 323, 279, 4007, 315, 1167, 9186, 20274, 527, 682, 10507, 315, 6593, 33403, 275, 2508, 13, 578, 4007, 315, 79383, 34527, 82, 22489, 10099, 477, 11705, 7100, 18151, 304, 30029, 477, 15715, 582, 10745, 7224, 627, 32, 12523, 22374, 7086, 14103, 25045, 1446, 292, 460, 57622, 19335, 389, 279, 58704, 315, 8961, 10099, 13, 578, 88999, 2469, 44355, 323, 46764, 1139, 279, 26000, 14718, 279, 10065, 311, 7831, 13, 23322, 7922, 279, 14726, 315, 85573, 28896, 1253, 12576, 304, 2731, 8830, 1268, 1521, 28896, 1782, 505, 79283, 28896, 304, 12966, 13, 24296, 11, 13128, 78335, 1253, 12576, 304, 279, 5623, 18841, 1920, 510, 16, 12, 20, 27218, 4368, 300, 3695, 617, 264, 93858, 8141, 4315, 3552, 7931, 13, 15636, 11, 279, 8857, 315, 79383, 44935, 304, 264, 2678, 1396, 315, 1274, 13, 1115, 18027, 7612, 279, 14740, 315, 6617, 17332, 29564, 81898, 555, 33403, 275, 22012, 13, 94137, 3695, 649, 3493, 2038, 389, 279, 72546, 315, 279, 3552, 7187, 13, 94137, 635, 10977, 2643, 387, 1511, 304, 82596, 34458, 311, 60541, 1990, 2204, 22673, 315, 279, 1890, 7795, 9606, 1080, 50457, 304, 264, 3813, 13, 94137, 3695, 1101, 617, 264, 1396, 315, 12742, 4519, 323, 2324, 62474, 5528, 430, 2187, 1124, 311, 34527, 872, 18939, 627, 791, 23205, 20057, 315, 33403, 49086, 9606, 3727, 433, 5107, 369, 6160, 22012, 311, 70755, 323, 49639, 1124, 13, 9393, 1690, 79383, 527, 1633, 5367, 13523, 11, 26730, 1711, 7902, 1990, 9606, 11, 3293, 83787, 304, 1701, 15922, 311, 10765, 3927, 9606, 323, 21635, 279, 5133, 1990, 5315, 520, 5370, 3827, 48228, 29505, 617, 17033, 9193, 15525, 311, 33403, 275, 22012, 627, 644, 220, 8953, 16, 11, 17958, 648, 5355, 12336, 84, 17378, 6292, 1247, 11054, 15754, 569, 689, 32703, 2067, 689, 323, 10815, 433, 311, 330, 26301, 1866, 20784, 90872, 1210, 1283, 11352, 420, 18940, 13028, 276, 85573, 304, 12966, 369, 279, 1176, 892, 323, 433, 574, 279, 1176, 832, 568, 5602, 1234, 264, 73757, 13, 2522, 98141, 374, 9057, 555, 279, 85573, 296, 635, 13951, 1030, 418, 288, 1156, 370, 77099, 13, 10771, 311, 15155, 12074, 11, 76952, 18606, 11620, 13789, 16279, 323, 7923, 582, 18614, 356, 478, 21446, 11, 889, 4756, 872, 14955, 304, 220, 8953, 22, 11, 1304, 1156, 98141, 279, 1176, 3823, 8624, 449, 264, 27470, 90090, 59557, 8479, 13, 89699, 3816, 72, 14407, 77594, 454, 73942, 3695, 323, 842, 454, 73942, 3695, 304, 279, 1890, 2363, 11, 70628, 3675, 3059, 1357, 11368, 23536, 2672, 15363, 47669, 763, 751, 10462, 320, 849, 69597, 315, 279, 24367, 315, 763, 55529, 8, 449, 45543, 315, 31057, 11, 39149, 72188, 11722, 83861, 323, 33012, 26587, 1344, 10647, 13, 128001, -100, 6102, 9336, 3984, 757, 449, 5043, 11, 6721, 2532, 11, 2038, 323, 1063, 15325, 9650, 13, 2435, 8710, 25152, 323, 872, 12718, 1051, 1790, 810, 15022, 1109, 1884, 315, 1023, 13307, 13, 358, 2846, 1633, 264, 6206, 10539, 11680, 26680, 11, 779, 358, 1193, 1005, 13307, 994, 814, 3493, 907, 369, 3300, 13, 358, 2846, 16913, 59497, 656, 430, 11, 779, 358, 2846, 6380, 311, 7079, 1124, 13, 128001, -100, 40, 7070, 3021, 311, 617, 264, 912, 9246, 6369, 323, 4358, 1148, 584, 649, 3085, 499, 11, 2225, 6462, 323, 7076, 33824, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 ]
[ 128000, 1502, 3137, 25, 28671, 1225, 6349, 3409, 198, 3915, 29879, 46226, 11, 279, 2262, 12862, 83708, 627, 58, 3671, 60, 20776, 4999, 9906, 11, 8211, 1225, 6349, 60, 22691, 8211, 1225, 6349, 3409, 198, 2675, 617, 1027, 1008, 79, 9437, 555, 757, 13, 578, 22728, 424, 0, 9636, 757, 11, 499, 690, 2543, 505, 264, 308, 410, 65, 311, 459, 29879, 3418, 385, 7018, 1122, 304, 912, 892, 10269, 13, 3277, 358, 2846, 2884, 449, 499, 11, 690, 387, 4477, 23160, 6761, 430, 5127, 690, 1093, 627, 7184, 1139, 279, 810, 6129, 3857, 11, 422, 499, 617, 904, 4860, 369, 757, 11, 5387, 1124, 520, 856, 3137, 2964, 11, 422, 499, 1390, 757, 311, 1781, 422, 701, 4652, 3966, 87770, 479, 13, 26257, 433, 389, 856, 3137, 2964, 627, 5451, 3465, 11, 2533, 499, 3802, 311, 1440, 5373, 20476, 1111, 12830, 13, 12040, 832, 315, 701, 9908, 323, 1373, 433, 270, 414, 1409, 398, 11, 1243, 733, 1203, 323, 1373, 5373, 20476, 1111, 12830, 13, 3639, 656, 499, 1505, 2204, 922, 279, 4652, 1457, 13, 26257, 433, 1618, 13, 14077, 11, 20776, 0, 1198, 791, 22728, 424, 3137, 7436, 6044, 82, 7436, 220, 2839, 25, 508, 11, 5186, 220, 1419, 220, 1049, 23, 320, 21872, 8, 128001, 128000, 17, 13, 1472, 649, 1179, 279, 41295, 6070, 311, 19157, 588, 275, 627, 93273, 94, 2057, 656, 420, 499, 1205, 311, 7068, 264, 662, 18596, 1052, 1176, 627, 18, 13, 1472, 649, 1893, 701, 41295, 6070, 1314, 304, 19157, 588, 275, 627, 93273, 94, 4702, 1212, 20061, 264, 9476, 611, 3813, 611, 2683, 2316, 311, 1893, 264, 502, 5699, 627, 16, 13, 5629, 3245, 499, 617, 311, 3373, 264, 9476, 505, 279, 21014, 13, 5112, 3373, 264, 2683, 2316, 505, 279, 21014, 1160, 320, 9514, 690, 1518, 1193, 279, 2683, 15671, 430, 2489, 279, 12146, 9476, 4390, 17, 13, 1472, 649, 5387, 279, 2683, 2316, 4384, 13, 763, 420, 1162, 11, 682, 8420, 4871, 279, 12146, 9476, 690, 387, 4183, 9651, 627, 8780, 4860, 30, 9359, 603, 1314, 3201, 0, 128001, 128000, 4438, 1587, 264, 27436, 4729, 990, 5380, 13246, 1455, 4729, 6373, 6067, 704, 1070, 11, 27436, 706, 264, 3016, 27396, 18112, 323, 649, 387, 1511, 304, 264, 4009, 291, 4676, 13, 578, 3622, 2068, 54068, 389, 279, 1890, 7106, 477, 4200, 1887, 1405, 279, 4729, 3626, 527, 9967, 11, 323, 433, 374, 8647, 369, 682, 22639, 449, 279, 32906, 627, 3923, 374, 279, 7580, 315, 1701, 27436, 5380, 60324, 374, 264, 72283, 4729, 6373, 1887, 3196, 389, 8029, 1389, 16531, 3149, 11615, 11688, 13, 4696, 578, 1455, 4279, 1005, 369, 856, 6827, 4869, 11, 374, 369, 279, 7580, 315, 264, 3566, 4729, 13, 1102, 649, 387, 1511, 311, 3637, 4205, 505, 264, 3254, 3335, 315, 2038, 311, 459, 4553, 15808, 315, 2561, 3956, 369, 459, 2930, 3637, 627, 3923, 374, 27436, 10552, 27851, 5380, 60324, 47325, 135, 234, 1764, 133, 103, 135, 234, 133, 249, 82, 135, 234, 74, 8783, 135, 238, 135, 230, 133, 249, 75, 51907, 374, 459, 1825, 31874, 72283, 4729, 6373, 1887, 320, 49, 3590, 4931, 570, 4696, 362, 72283, 4729, 2942, 4861, 828, 1139, 832, 477, 810, 828, 12920, 304, 902, 828, 4595, 1253, 387, 5552, 311, 1855, 1023, 26, 1521, 4398, 1520, 6070, 279, 828, 627, 3957, 27436, 279, 1888, 5380, 2170, 279, 1917, 753, 1455, 5526, 6078, 4931, 1389, 449, 220, 2137, 4, 315, 13707, 1701, 433, 304, 220, 679, 24, 1389, 27436, 374, 264, 5043, 11, 15062, 11, 4689, 59338, 11, 72283, 4729, 6373, 1887, 13, 10541, 433, 37856, 279, 16781, 4519, 315, 74701, 11, 433, 753, 459, 9250, 2489, 369, 264, 7029, 2134, 315, 8522, 1389, 5423, 3566, 8522, 627, 10445, 374, 27436, 779, 5526, 5380, 791, 27436, 4500, 1920, 24400, 389, 10209, 264, 1633, 11297, 8292, 315, 279, 4519, 1455, 1274, 1205, 13, 1115, 3445, 430, 27436, 2103, 706, 17162, 4519, 1109, 1202, 10388, 1825, 2592, 43940, 11, 74701, 11, 477, 279, 8518, 4729, 21787, 627, 3923, 527, 279, 64725, 315, 27436, 5380, 12, 27436, 4827, 2373, 320, 20, 13, 15, 477, 2753, 8, 3250, 1431, 1862, 70776, 11, 84330, 323, 9967, 10537, 627, 12, 27436, 1587, 539, 1862, 264, 1633, 3544, 4729, 1404, 439, 30820, 627, 12, 27436, 3250, 1431, 3790, 14463, 1633, 30820, 323, 433, 374, 38097, 311, 828, 21948, 627, 3923, 374, 27436, 323, 1202, 4519, 5380, 60324, 374, 264, 72283, 4729, 6373, 1887, 320, 49, 3590, 4931, 8, 3196, 389, 279, 8029, 320, 98557, 11615, 11688, 8, 20126, 13, 1102, 374, 832, 315, 279, 1455, 5526, 15823, 369, 32888, 323, 18646, 279, 7576, 304, 279, 2007, 13, 27436, 374, 1825, 31874, 323, 1949, 3241, 1234, 279, 4348, 5842, 13, 22137, 8351, 11815, 433, 627, 3923, 374, 27436, 2539, 1376, 5380, 791, 2539, 1376, 315, 27436, 374, 3092, 16531, 3149, 11615, 11688, 13, 1102, 753, 1511, 389, 46879, 1174, 46819, 612, 11050, 304, 53035, 13, 27436, 374, 279, 1455, 5526, 5377, 8922, 8029, 4729, 6373, 1887, 13, 1102, 374, 7086, 1306, 1080, 36927, 9995, 88, 468, 12770, 9334, 753, 10003, 11, 3092, 627, 3923, 374, 6811, 1990, 8029, 323, 27436, 5380, 644, 264, 94013, 11, 8029, 374, 264, 4221, 369, 82198, 32906, 323, 27436, 374, 459, 1825, 2592, 4729, 2027, 13, 8029, 374, 1511, 369, 32888, 11, 21686, 323, 20958, 828, 304, 264, 4729, 323, 27436, 374, 459, 432, 3590, 4931, 430, 6276, 3932, 311, 2567, 279, 828, 430, 6866, 304, 264, 4729, 17057, 13, 8029, 1587, 539, 2349, 320, 59178, 705, 439, 433, 374, 264, 4221, 627, 3957, 8029, 264, 11058, 4221, 5380, 6827, 13656, 369, 16531, 3149, 11615, 11688, 11, 902, 374, 264, 15840, 4221, 1511, 311, 19570, 449, 72283, 32906, 13, 578, 75614, 374, 38617, 1093, 279, 3492, 35861, 11, 719, 1063, 1274, 690, 1120, 1005, 279, 2380, 12197, 328, 11, 1229, 11, 323, 445, 627, 23956, 374, 2731, 8029, 477, 27436, 5380, 644, 3878, 315, 828, 4868, 11, 279, 8029, 3622, 374, 1790, 810, 9966, 1109, 279, 27436, 3622, 13, 763, 8029, 11, 9434, 11618, 320, 4908, 4948, 24993, 10721, 8, 4250, 2680, 477, 37735, 279, 828, 6089, 13, 6104, 304, 27436, 11, 832, 649, 6847, 37735, 477, 5719, 279, 4729, 3626, 2391, 1629, 892, 1701, 70837, 627, 3957, 27436, 4228, 311, 4048, 5380, 11382, 1215, 11378, 25, 27436, 49107, 198, 60324, 374, 264, 5526, 4729, 5452, 369, 9873, 1606, 433, 374, 9193, 4228, 311, 1005, 13, 1102, 374, 17037, 1511, 304, 10824, 449, 13420, 13, 1472, 6865, 1054, 275, 753, 4228, 311, 990, 449, 863, 264, 2763, 304, 12976, 311, 6500, 15823, 11, 719, 27436, 9615, 374, 4382, 13, 128001 ]
[ -100, 1502, 3137, 25, 28671, 1225, 6349, 3409, 198, 3915, 29879, 46226, 11, 279, 2262, 12862, 83708, 627, 58, 3671, 60, 20776, 4999, 9906, 11, 8211, 1225, 6349, 60, 22691, 8211, 1225, 6349, 3409, 198, 2675, 617, 1027, 1008, 79, 9437, 555, 757, 13, 578, 22728, 424, 0, 9636, 757, 11, 499, 690, 2543, 505, 264, 308, 410, 65, 311, 459, 29879, 3418, 385, 7018, 1122, 304, 912, 892, 10269, 13, 3277, 358, 2846, 2884, 449, 499, 11, 690, 387, 4477, 23160, 6761, 430, 5127, 690, 1093, 627, 7184, 1139, 279, 810, 6129, 3857, 11, 422, 499, 617, 904, 4860, 369, 757, 11, 5387, 1124, 520, 856, 3137, 2964, 11, 422, 499, 1390, 757, 311, 1781, 422, 701, 4652, 3966, 87770, 479, 13, 26257, 433, 389, 856, 3137, 2964, 627, 5451, 3465, 11, 2533, 499, 3802, 311, 1440, 5373, 20476, 1111, 12830, 13, 12040, 832, 315, 701, 9908, 323, 1373, 433, 270, 414, 1409, 398, 11, 1243, 733, 1203, 323, 1373, 5373, 20476, 1111, 12830, 13, 3639, 656, 499, 1505, 2204, 922, 279, 4652, 1457, 13, 26257, 433, 1618, 13, 14077, 11, 20776, 0, 1198, 791, 22728, 424, 3137, 7436, 6044, 82, 7436, 220, 2839, 25, 508, 11, 5186, 220, 1419, 220, 1049, 23, 320, 21872, 8, 128001, -100, 17, 13, 1472, 649, 1179, 279, 41295, 6070, 311, 19157, 588, 275, 627, 93273, 94, 2057, 656, 420, 499, 1205, 311, 7068, 264, 662, 18596, 1052, 1176, 627, 18, 13, 1472, 649, 1893, 701, 41295, 6070, 1314, 304, 19157, 588, 275, 627, 93273, 94, 4702, 1212, 20061, 264, 9476, 611, 3813, 611, 2683, 2316, 311, 1893, 264, 502, 5699, 627, 16, 13, 5629, 3245, 499, 617, 311, 3373, 264, 9476, 505, 279, 21014, 13, 5112, 3373, 264, 2683, 2316, 505, 279, 21014, 1160, 320, 9514, 690, 1518, 1193, 279, 2683, 15671, 430, 2489, 279, 12146, 9476, 4390, 17, 13, 1472, 649, 5387, 279, 2683, 2316, 4384, 13, 763, 420, 1162, 11, 682, 8420, 4871, 279, 12146, 9476, 690, 387, 4183, 9651, 627, 8780, 4860, 30, 9359, 603, 1314, 3201, 0, 128001, -100, 4438, 1587, 264, 27436, 4729, 990, 5380, 13246, 1455, 4729, 6373, 6067, 704, 1070, 11, 27436, 706, 264, 3016, 27396, 18112, 323, 649, 387, 1511, 304, 264, 4009, 291, 4676, 13, 578, 3622, 2068, 54068, 389, 279, 1890, 7106, 477, 4200, 1887, 1405, 279, 4729, 3626, 527, 9967, 11, 323, 433, 374, 8647, 369, 682, 22639, 449, 279, 32906, 627, 3923, 374, 279, 7580, 315, 1701, 27436, 5380, 60324, 374, 264, 72283, 4729, 6373, 1887, 3196, 389, 8029, 1389, 16531, 3149, 11615, 11688, 13, 4696, 578, 1455, 4279, 1005, 369, 856, 6827, 4869, 11, 374, 369, 279, 7580, 315, 264, 3566, 4729, 13, 1102, 649, 387, 1511, 311, 3637, 4205, 505, 264, 3254, 3335, 315, 2038, 311, 459, 4553, 15808, 315, 2561, 3956, 369, 459, 2930, 3637, 627, 3923, 374, 27436, 10552, 27851, 5380, 60324, 47325, 135, 234, 1764, 133, 103, 135, 234, 133, 249, 82, 135, 234, 74, 8783, 135, 238, 135, 230, 133, 249, 75, 51907, 374, 459, 1825, 31874, 72283, 4729, 6373, 1887, 320, 49, 3590, 4931, 570, 4696, 362, 72283, 4729, 2942, 4861, 828, 1139, 832, 477, 810, 828, 12920, 304, 902, 828, 4595, 1253, 387, 5552, 311, 1855, 1023, 26, 1521, 4398, 1520, 6070, 279, 828, 627, 3957, 27436, 279, 1888, 5380, 2170, 279, 1917, 753, 1455, 5526, 6078, 4931, 1389, 449, 220, 2137, 4, 315, 13707, 1701, 433, 304, 220, 679, 24, 1389, 27436, 374, 264, 5043, 11, 15062, 11, 4689, 59338, 11, 72283, 4729, 6373, 1887, 13, 10541, 433, 37856, 279, 16781, 4519, 315, 74701, 11, 433, 753, 459, 9250, 2489, 369, 264, 7029, 2134, 315, 8522, 1389, 5423, 3566, 8522, 627, 10445, 374, 27436, 779, 5526, 5380, 791, 27436, 4500, 1920, 24400, 389, 10209, 264, 1633, 11297, 8292, 315, 279, 4519, 1455, 1274, 1205, 13, 1115, 3445, 430, 27436, 2103, 706, 17162, 4519, 1109, 1202, 10388, 1825, 2592, 43940, 11, 74701, 11, 477, 279, 8518, 4729, 21787, 627, 3923, 527, 279, 64725, 315, 27436, 5380, 12, 27436, 4827, 2373, 320, 20, 13, 15, 477, 2753, 8, 3250, 1431, 1862, 70776, 11, 84330, 323, 9967, 10537, 627, 12, 27436, 1587, 539, 1862, 264, 1633, 3544, 4729, 1404, 439, 30820, 627, 12, 27436, 3250, 1431, 3790, 14463, 1633, 30820, 323, 433, 374, 38097, 311, 828, 21948, 627, 3923, 374, 27436, 323, 1202, 4519, 5380, 60324, 374, 264, 72283, 4729, 6373, 1887, 320, 49, 3590, 4931, 8, 3196, 389, 279, 8029, 320, 98557, 11615, 11688, 8, 20126, 13, 1102, 374, 832, 315, 279, 1455, 5526, 15823, 369, 32888, 323, 18646, 279, 7576, 304, 279, 2007, 13, 27436, 374, 1825, 31874, 323, 1949, 3241, 1234, 279, 4348, 5842, 13, 22137, 8351, 11815, 433, 627, 3923, 374, 27436, 2539, 1376, 5380, 791, 2539, 1376, 315, 27436, 374, 3092, 16531, 3149, 11615, 11688, 13, 1102, 753, 1511, 389, 46879, 1174, 46819, 612, 11050, 304, 53035, 13, 27436, 374, 279, 1455, 5526, 5377, 8922, 8029, 4729, 6373, 1887, 13, 1102, 374, 7086, 1306, 1080, 36927, 9995, 88, 468, 12770, 9334, 753, 10003, 11, 3092, 627, 3923, 374, 6811, 1990, 8029, 323, 27436, 5380, 644, 264, 94013, 11, 8029, 374, 264, 4221, 369, 82198, 32906, 323, 27436, 374, 459, 1825, 2592, 4729, 2027, 13, 8029, 374, 1511, 369, 32888, 11, 21686, 323, 20958, 828, 304, 264, 4729, 323, 27436, 374, 459, 432, 3590, 4931, 430, 6276, 3932, 311, 2567, 279, 828, 430, 6866, 304, 264, 4729, 17057, 13, 8029, 1587, 539, 2349, 320, 59178, 705, 439, 433, 374, 264, 4221, 627, 3957, 8029, 264, 11058, 4221, 5380, 6827, 13656, 369, 16531, 3149, 11615, 11688, 11, 902, 374, 264, 15840, 4221, 1511, 311, 19570, 449, 72283, 32906, 13, 578, 75614, 374, 38617, 1093, 279, 3492, 35861, 11, 719, 1063, 1274, 690, 1120, 1005, 279, 2380, 12197, 328, 11, 1229, 11, 323, 445, 627, 23956, 374, 2731, 8029, 477, 27436, 5380, 644, 3878, 315, 828, 4868, 11, 279, 8029, 3622, 374, 1790, 810, 9966, 1109, 279, 27436, 3622, 13, 763, 8029, 11, 9434, 11618, 320, 4908, 4948, 24993, 10721, 8, 4250, 2680, 477, 37735, 279, 828, 6089, 13, 6104, 304, 27436, 11, 832, 649, 6847, 37735, 477, 5719, 279, 4729, 3626, 2391, 1629, 892, 1701, 70837, 627, 3957, 27436, 4228, 311, 4048, 5380, 11382, 1215, 11378, 25, 27436, 49107, 198, 60324, 374, 264, 5526, 4729, 5452, 369, 9873, 1606, 433, 374, 9193, 4228, 311, 1005, 13, 1102, 374, 17037, 1511, 304, 10824, 449, 13420, 13, 1472, 6865, 1054, 275, 753, 4228, 311, 990, 449, 863, 264, 2763, 304, 12976, 311, 6500, 15823, 11, 719, 27436, 9615, 374, 4382, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748 ]
[ 128000, 48, 25, 20817, 389, 420, 3477, 11, 1053, 279, 1217, 7079, 420, 2027, 30, 2093, 10506, 25, 2360, 48379, 468, 15386, 91597, 1781, 922, 279, 10708, 358, 39928, 497, 279, 6776, 311, 8493, 279, 892, 810, 9429, 3210, 1109, 358, 1550, 994, 358, 574, 5403, 420, 2363, 2506, 2733, 1093, 358, 574, 44092, 1022, 555, 420, 2363, 497, 433, 596, 4400, 719, 264, 3300, 38960, 11879, 315, 659, 37960, 29355, 369, 279, 3229, 497, 311, 1781, 358, 6688, 420, 7564, 904, 315, 856, 8515, 2506, 2231, 279, 2363, 1523, 1603, 358, 8220, 497, 358, 25720, 422, 358, 6755, 279, 17571, 330, 1687, 3358, 636, 311, 430, 3010, 1, 1578, 358, 1053, 733, 13088, 13, 1283, 38202, 1455, 315, 279, 1176, 2478, 30732, 5605, 430, 323, 323, 555, 279, 892, 499, 636, 42436, 1555, 279, 2363, 682, 499, 3077, 50350, 374, 1268, 2294, 279, 3229, 15849, 568, 374, 27774, 456, 922, 39928, 10708, 497, 499, 1288, 387, 810, 11920, 922, 39928, 8515, 13, 22559, 1473, 3461, 505, 279, 2768, 627, 58, 16, 948, 2360, 627, 58, 17, 948, 7566, 627, 791, 4320, 374, 512, 58, 16, 948, 128001, 128000, 644, 912, 1648, 649, 584, 1650, 420, 1989, 315, 19641, 12960, 264, 502, 282, 329, 439, 12715, 3925, 36716, 311, 264, 2503, 287, 779, 11551, 7403, 323, 14268, 1903, 304, 439, 4216, 439, 220, 11515, 23, 304, 264, 473, 531, 8350, 15255, 14095, 2115, 13, 40741, 3115, 1555, 704, 279, 24552, 420, 8056, 2144, 8111, 439, 14769, 304, 1057, 19641, 5151, 682, 927, 4987, 9635, 5266, 449, 26432, 315, 1063, 11191, 49892, 627, 644, 220, 3753, 15, 82, 304, 4410, 20176, 9635, 264, 1455, 19018, 6319, 19641, 12960, 9922, 927, 3814, 304, 264, 20957, 2115, 662, 2181, 6244, 264, 5426, 3754, 1537, 323, 779, 7263, 304, 6335, 7151, 40799, 889, 10213, 3463, 433, 279, 990, 315, 459, 47847, 2410, 889, 1047, 34334, 315, 47208, 603, 13, 49044, 92082, 4756, 16064, 389, 420, 2816, 323, 304, 2919, 433, 6244, 264, 6129, 8990, 439, 311, 902, 11841, 6197, 279, 4034, 323, 1903, 3729, 449, 872, 1376, 315, 4477, 627, 644, 6186, 220, 2550, 15, 279, 7234, 270, 9890, 311, 1501, 810, 1109, 5578, 1396, 14095, 5151, 449, 17738, 304, 1376, 779, 37067, 1047, 1027, 9124, 1555, 704, 279, 7474, 29845, 10017, 389, 279, 220, 24, 339, 6186, 1047, 1027, 14454, 311, 4358, 279, 13363, 5552, 311, 420, 30215, 315, 31665, 1694, 1511, 311, 2019, 2555, 311, 603, 13, 8976, 14248, 20802, 311, 3041, 459, 9647, 627, 4959, 1060, 279, 26432, 6244, 810, 323, 810, 17395, 662, 8538, 779, 13057, 1436, 1193, 387, 3970, 505, 279, 3805, 439, 304, 279, 1403, 25232, 3485, 627, 644, 459, 14154, 9309, 315, 13527, 374, 279, 14189, 315, 468, 3036, 15255, 430, 38119, 14637, 71, 6443, 2816, 323, 21998, 20176, 323, 8211, 20176, 8270, 323, 1243, 15739, 295, 17569, 430, 11767, 505, 21998, 20176, 704, 311, 14637, 305, 6443, 13, 2052, 9932, 6732, 13003, 520, 3325, 220, 3443, 15, 1667, 1523, 279, 1584, 311, 14154, 893, 627, 46960, 71, 6443, 468, 3036, 15255, 9635, 198, 32, 17222, 2663, 11450, 30147, 1403, 3026, 304, 872, 4848, 29646, 889, 1047, 11922, 311, 617, 1903, 1690, 315, 279, 1455, 11495, 19641, 26432, 5694, 13, 31164, 426, 1223, 323, 6941, 921, 269, 3258, 1047, 36592, 279, 1989, 311, 1304, 2216, 17395, 14769, 304, 14095, 5151, 13, 2468, 1176, 279, 19578, 3463, 433, 264, 1695, 3446, 719, 1243, 279, 1403, 3026, 9076, 311, 1501, 1124, 1268, 433, 4375, 704, 389, 279, 5151, 520, 33433, 13, 3161, 23162, 4580, 14418, 814, 15753, 279, 14095, 1203, 439, 279, 15203, 33687, 555, 264, 925, 323, 449, 264, 2385, 5041, 2107, 389, 2010, 449, 279, 16557, 68865, 311, 3412, 279, 2237, 2816, 311, 1304, 279, 2955, 8831, 13, 3277, 433, 574, 682, 927, 323, 264, 2678, 2955, 1903, 304, 1234, 4376, 459, 6596, 25408, 279, 502, 3647, 268, 433, 574, 814, 430, 1457, 6773, 311, 22114, 11909, 304, 311, 25052, 13, 17586, 264, 3492, 315, 2144, 279, 2128, 315, 26453, 3782, 304, 311, 1684, 13, 3277, 1306, 264, 1695, 6596, 279, 11909, 682, 7378, 433, 574, 539, 1903, 555, 893, 719, 555, 37219, 20948, 11003, 13, 5810, 279, 502, 3647, 268, 92781, 279, 19641, 2955, 29414, 323, 9057, 264, 4156, 2199, 1629, 389, 20167, 2324, 449, 7397, 315, 279, 12960, 5343, 1903, 5426, 3754, 13, 2052, 1053, 617, 1027, 1664, 422, 539, 369, 264, 24237, 323, 279, 5684, 574, 47168, 439, 16515, 12855, 627, 1271, 757, 1884, 889, 7940, 311, 420, 3460, 315, 1989, 3245, 433, 2011, 387, 1093, 264, 30581, 449, 264, 7878, 10247, 311, 1518, 264, 13057, 21411, 2115, 2011, 95263, 279, 13836, 311, 93928, 323, 1304, 1989, 520, 430, 1890, 892, 13, 358, 32194, 779, 2663, 11909, 2103, 2019, 1063, 315, 279, 26432, 527, 505, 37219, 2955, 323, 9093, 1903, 555, 1778, 13, 358, 2019, 2085, 10712, 893, 1903, 1855, 323, 1475, 832, 1475, 892, 3339, 433, 810, 77361, 13, 40713, 315, 1124, 520, 3814, 24797, 584, 527, 304, 1057, 28036, 733, 704, 311, 80737, 264, 12960, 1120, 369, 2523, 627, 2181, 374, 1093, 65943, 1193, 1695, 311, 1884, 889, 1550, 433, 323, 264, 9622, 709, 315, 18112, 369, 279, 2800, 315, 603, 889, 2512, 922, 1057, 9919, 889, 1390, 311, 2567, 682, 4335, 13, 433, 374, 8530, 3249, 1063, 810, 6913, 1390, 54742, 311, 57681, 279, 3823, 6930, 374, 264, 9977, 311, 856, 4059, 13, 35971, 10068, 574, 279, 46829, 4751, 315, 6900, 369, 3515, 13160, 279, 2547, 13, 20148, 2646, 1053, 33304, 311, 656, 433, 323, 1193, 1884, 32415, 43132, 454, 311, 387, 1903, 1139, 29409, 13, 26823, 323, 3249, 19641, 12960, 1274, 1390, 311, 38339, 5151, 315, 9498, 3691, 627, 791, 61301, 10975, 315, 37219, 11689, 4315, 603, 67805, 603, 311, 33975, 3117, 7953, 1057, 1917, 23210, 527, 719, 264, 5041, 20784, 304, 3634, 323, 279, 61301, 10975, 315, 1274, 1694, 4529, 709, 304, 279, 1181, 72, 2469, 315, 279, 44875, 311, 1518, 279, 1917, 3770, 439, 264, 19763, 315, 1099, 4088, 627, 1687, 1440, 430, 584, 4250, 11000, 387, 279, 1193, 40771, 304, 3634, 433, 1053, 387, 46337, 311, 1781, 779, 3686, 3249, 15890, 814, 2586, 311, 1518, 603, 1457, 30, 7839, 3488, 719, 1436, 433, 387, 814, 656, 719, 539, 2288, 3345, 1521, 2919, 439, 1053, 499, 304, 872, 2035, 14392, 584, 1047, 1403, 1917, 25981, 11, 459, 40616, 13054, 323, 43086, 304, 682, 17089, 13, 358, 1053, 4822, 1664, 3201, 422, 358, 574, 1124, 13, 2435, 649, 4639, 603, 4400, 439, 682, 2288, 2466, 19946, 323, 45743, 1457, 374, 279, 2853, 311, 603, 24050, 1139, 3634, 7953, 279, 9958, 719, 539, 3596, 304, 53098, 1148, 4131, 709, 2011, 2586, 1523, 779, 1427, 520, 279, 83754, 430, 88799, 690, 539, 2187, 603, 311, 3137, 922, 323, 682, 70164, 11311, 59581, 439, 5246, 439, 433, 3782, 311, 3754, 627, 40, 1097, 539, 1618, 311, 2019, 810, 719, 3403, 706, 1903, 603, 83372, 449, 49044, 3754, 3794, 779, 3221, 279, 8206, 430, 584, 527, 719, 264, 2395, 377, 315, 16174, 304, 1057, 1866, 83645, 779, 1063, 3460, 315, 25530, 2324, 2011, 387, 704, 1070, 13, 358, 1781, 1524, 810, 11084, 1109, 603, 814, 649, 5944, 304, 6622, 4028, 279, 1887, 719, 311, 603, 220, 1041, 1667, 832, 1648, 1890, 11879, 662, 1271, 5944, 4994, 1057, 10353, 1253, 1935, 264, 19569, 9575, 13, 1226, 1205, 311, 15508, 709, 439, 832, 1938, 584, 690, 1205, 311, 5387, 1057, 11841, 323, 88799, 1205, 311, 2586, 4335, 389, 1148, 814, 3412, 1203, 323, 584, 12835, 520, 1124, 369, 3815, 1778, 304, 6367, 439, 7000, 315, 603, 527, 12314, 14971, 627, 12487, 19641, 26432, 617, 4400, 311, 656, 449, 4994, 24800, 520, 682, 627, 40, 3987, 499, 14333, 433, 3432, 439, 358, 617, 2884, 2555, 358, 2646, 617, 1603, 358, 617, 3309, 856, 11555, 323, 29056, 264, 23347, 304, 961, 389, 26432, 304, 14095, 5151, 719, 9107, 2500, 304, 20167, 2324, 627, 791, 10512, 1618, 374, 315, 264, 69707, 11003, 505, 264, 6138, 13, 358, 7182, 5602, 264, 11191, 577, 831, 304, 4497, 11860, 1395, 23542, 3158, 315, 6560, 304, 279, 5209, 220, 4468, 15, 82, 13, 1115, 574, 3970, 555, 1063, 220, 10617, 410, 1274, 439, 3117, 439, 220, 1041, 8931, 3201, 13, 3092, 6685, 323, 1403, 3885, 555, 2731, 18632, 4024, 1139, 279, 2254, 17222, 902, 4756, 682, 449, 7397, 2288, 304, 4156, 2199, 4360, 719, 574, 6288, 4529, 1022, 6412, 323, 912, 6685, 3782, 1203, 439, 814, 1524, 15164, 433, 7077, 13, 358, 617, 11311, 420, 574, 10717, 304, 1194, 555, 10423, 315, 6560, 13, 2876, 264, 3254, 15332, 477, 6685, 8625, 389, 1052, 304, 66223, 25460, 3626, 13, 358, 1550, 3729, 872, 39104, 304, 63325, 39634, 97414, 323, 1578, 311, 279, 17222, 1566, 1060, 719, 8051, 11471, 311, 2586, 1203, 311, 757, 4745, 358, 1440, 21847, 374, 279, 2082, 3492, 13, 1102, 1097, 74885, 757, 430, 19641, 26432, 430, 527, 1193, 3596, 1903, 555, 893, 527, 682, 927, 3754, 1855, 7474, 439, 11311, 430, 1023, 24800, 3073, 719, 279, 1972, 11311, 315, 70164, 2144, 527, 28016, 5655, 555, 84742, 889, 656, 539, 1390, 603, 311, 1440, 304, 1162, 315, 3148, 22743, 13, 2582, 11201, 30, 1226, 527, 2646, 7636, 323, 1063, 315, 603, 1440, 433, 627, 56, 2530, 2744, 11, 16351, 1022, 11, 17177, 16768, 627, 13857, 16768, 47, 1138, 11, 29627, 13, 679, 23, 128001, 128000, 18, 25, 1644, 281, 749, 13, 60039, 6186, 220, 1419, 11, 220, 1049, 19, 482, 362, 13205, 400, 3965, 3610, 14800, 315, 279, 5165, 423, 56012, 16730, 690, 923, 4848, 502, 14016, 11, 24657, 279, 28099, 3634, 323, 1935, 709, 7154, 1403, 2539, 10215, 304, 19441, 1561, 27008, 627, 791, 24925, 706, 2736, 9408, 922, 400, 1272, 3610, 11, 14918, 505, 1614, 323, 6918, 17047, 13, 15341, 32767, 11, 24925, 4872, 11, 1071, 568, 25283, 810, 3300, 311, 2586, 505, 7931, 11, 25341, 323, 41582, 13, 25749, 8529, 473, 4129, 374, 99119, 21892, 315, 279, 3887, 59401, 3876, 4901, 627, 791, 14800, 690, 923, 50829, 389, 682, 3682, 21343, 315, 4435, 5111, 8105, 11, 459, 16627, 90695, 369, 13639, 323, 4236, 11, 323, 279, 5955, 369, 279, 19723, 315, 279, 3778, 17326, 11, 264, 6875, 323, 3495, 4219, 449, 3634, 369, 16659, 323, 68569, 627, 50384, 9954, 11, 279, 24925, 690, 3152, 400, 16949, 3610, 304, 2860, 10374, 11, 810, 1109, 220, 19, 11, 931, 2254, 7032, 323, 400, 972, 3610, 304, 1614, 323, 2254, 13426, 1855, 1060, 11, 4184, 311, 264, 24925, 3754, 4984, 627, 791, 24925, 25241, 279, 502, 3424, 323, 7510, 3987, 311, 4686, 8246, 555, 220, 679, 15, 13, 128001, 128000, 475, 2709, 271, 475, 28864, 271, 1527, 20104, 1179, 29273, 271, 1527, 5819, 3928, 6545, 2581, 8354, 1179, 1893, 8354, 1432, 34963, 51636, 746, 755, 20104, 8354, 57165, 25255, 8, 1492, 29273, 512, 262, 2709, 24656, 1204, 6254, 7536, 22802, 1365, 284, 330, 9016, 702, 262, 917, 284, 1893, 8354, 746, 262, 7692, 917, 1432, 34963, 51636, 746, 755, 3016, 50847, 1091, 8354, 25, 29273, 997, 262, 471, 20104, 8354, 6085, 8342, 746, 128001 ]
[ -100, 48, 25, 20817, 389, 420, 3477, 11, 1053, 279, 1217, 7079, 420, 2027, 30, 2093, 10506, 25, 2360, 48379, 468, 15386, 91597, 1781, 922, 279, 10708, 358, 39928, 497, 279, 6776, 311, 8493, 279, 892, 810, 9429, 3210, 1109, 358, 1550, 994, 358, 574, 5403, 420, 2363, 2506, 2733, 1093, 358, 574, 44092, 1022, 555, 420, 2363, 497, 433, 596, 4400, 719, 264, 3300, 38960, 11879, 315, 659, 37960, 29355, 369, 279, 3229, 497, 311, 1781, 358, 6688, 420, 7564, 904, 315, 856, 8515, 2506, 2231, 279, 2363, 1523, 1603, 358, 8220, 497, 358, 25720, 422, 358, 6755, 279, 17571, 330, 1687, 3358, 636, 311, 430, 3010, 1, 1578, 358, 1053, 733, 13088, 13, 1283, 38202, 1455, 315, 279, 1176, 2478, 30732, 5605, 430, 323, 323, 555, 279, 892, 499, 636, 42436, 1555, 279, 2363, 682, 499, 3077, 50350, 374, 1268, 2294, 279, 3229, 15849, 568, 374, 27774, 456, 922, 39928, 10708, 497, 499, 1288, 387, 810, 11920, 922, 39928, 8515, 13, 22559, 1473, 3461, 505, 279, 2768, 627, 58, 16, 948, 2360, 627, 58, 17, 948, 7566, 627, 791, 4320, 374, 512, 58, 16, 948, 128001, -100, 644, 912, 1648, 649, 584, 1650, 420, 1989, 315, 19641, 12960, 264, 502, 282, 329, 439, 12715, 3925, 36716, 311, 264, 2503, 287, 779, 11551, 7403, 323, 14268, 1903, 304, 439, 4216, 439, 220, 11515, 23, 304, 264, 473, 531, 8350, 15255, 14095, 2115, 13, 40741, 3115, 1555, 704, 279, 24552, 420, 8056, 2144, 8111, 439, 14769, 304, 1057, 19641, 5151, 682, 927, 4987, 9635, 5266, 449, 26432, 315, 1063, 11191, 49892, 627, 644, 220, 3753, 15, 82, 304, 4410, 20176, 9635, 264, 1455, 19018, 6319, 19641, 12960, 9922, 927, 3814, 304, 264, 20957, 2115, 662, 2181, 6244, 264, 5426, 3754, 1537, 323, 779, 7263, 304, 6335, 7151, 40799, 889, 10213, 3463, 433, 279, 990, 315, 459, 47847, 2410, 889, 1047, 34334, 315, 47208, 603, 13, 49044, 92082, 4756, 16064, 389, 420, 2816, 323, 304, 2919, 433, 6244, 264, 6129, 8990, 439, 311, 902, 11841, 6197, 279, 4034, 323, 1903, 3729, 449, 872, 1376, 315, 4477, 627, 644, 6186, 220, 2550, 15, 279, 7234, 270, 9890, 311, 1501, 810, 1109, 5578, 1396, 14095, 5151, 449, 17738, 304, 1376, 779, 37067, 1047, 1027, 9124, 1555, 704, 279, 7474, 29845, 10017, 389, 279, 220, 24, 339, 6186, 1047, 1027, 14454, 311, 4358, 279, 13363, 5552, 311, 420, 30215, 315, 31665, 1694, 1511, 311, 2019, 2555, 311, 603, 13, 8976, 14248, 20802, 311, 3041, 459, 9647, 627, 4959, 1060, 279, 26432, 6244, 810, 323, 810, 17395, 662, 8538, 779, 13057, 1436, 1193, 387, 3970, 505, 279, 3805, 439, 304, 279, 1403, 25232, 3485, 627, 644, 459, 14154, 9309, 315, 13527, 374, 279, 14189, 315, 468, 3036, 15255, 430, 38119, 14637, 71, 6443, 2816, 323, 21998, 20176, 323, 8211, 20176, 8270, 323, 1243, 15739, 295, 17569, 430, 11767, 505, 21998, 20176, 704, 311, 14637, 305, 6443, 13, 2052, 9932, 6732, 13003, 520, 3325, 220, 3443, 15, 1667, 1523, 279, 1584, 311, 14154, 893, 627, 46960, 71, 6443, 468, 3036, 15255, 9635, 198, 32, 17222, 2663, 11450, 30147, 1403, 3026, 304, 872, 4848, 29646, 889, 1047, 11922, 311, 617, 1903, 1690, 315, 279, 1455, 11495, 19641, 26432, 5694, 13, 31164, 426, 1223, 323, 6941, 921, 269, 3258, 1047, 36592, 279, 1989, 311, 1304, 2216, 17395, 14769, 304, 14095, 5151, 13, 2468, 1176, 279, 19578, 3463, 433, 264, 1695, 3446, 719, 1243, 279, 1403, 3026, 9076, 311, 1501, 1124, 1268, 433, 4375, 704, 389, 279, 5151, 520, 33433, 13, 3161, 23162, 4580, 14418, 814, 15753, 279, 14095, 1203, 439, 279, 15203, 33687, 555, 264, 925, 323, 449, 264, 2385, 5041, 2107, 389, 2010, 449, 279, 16557, 68865, 311, 3412, 279, 2237, 2816, 311, 1304, 279, 2955, 8831, 13, 3277, 433, 574, 682, 927, 323, 264, 2678, 2955, 1903, 304, 1234, 4376, 459, 6596, 25408, 279, 502, 3647, 268, 433, 574, 814, 430, 1457, 6773, 311, 22114, 11909, 304, 311, 25052, 13, 17586, 264, 3492, 315, 2144, 279, 2128, 315, 26453, 3782, 304, 311, 1684, 13, 3277, 1306, 264, 1695, 6596, 279, 11909, 682, 7378, 433, 574, 539, 1903, 555, 893, 719, 555, 37219, 20948, 11003, 13, 5810, 279, 502, 3647, 268, 92781, 279, 19641, 2955, 29414, 323, 9057, 264, 4156, 2199, 1629, 389, 20167, 2324, 449, 7397, 315, 279, 12960, 5343, 1903, 5426, 3754, 13, 2052, 1053, 617, 1027, 1664, 422, 539, 369, 264, 24237, 323, 279, 5684, 574, 47168, 439, 16515, 12855, 627, 1271, 757, 1884, 889, 7940, 311, 420, 3460, 315, 1989, 3245, 433, 2011, 387, 1093, 264, 30581, 449, 264, 7878, 10247, 311, 1518, 264, 13057, 21411, 2115, 2011, 95263, 279, 13836, 311, 93928, 323, 1304, 1989, 520, 430, 1890, 892, 13, 358, 32194, 779, 2663, 11909, 2103, 2019, 1063, 315, 279, 26432, 527, 505, 37219, 2955, 323, 9093, 1903, 555, 1778, 13, 358, 2019, 2085, 10712, 893, 1903, 1855, 323, 1475, 832, 1475, 892, 3339, 433, 810, 77361, 13, 40713, 315, 1124, 520, 3814, 24797, 584, 527, 304, 1057, 28036, 733, 704, 311, 80737, 264, 12960, 1120, 369, 2523, 627, 2181, 374, 1093, 65943, 1193, 1695, 311, 1884, 889, 1550, 433, 323, 264, 9622, 709, 315, 18112, 369, 279, 2800, 315, 603, 889, 2512, 922, 1057, 9919, 889, 1390, 311, 2567, 682, 4335, 13, 433, 374, 8530, 3249, 1063, 810, 6913, 1390, 54742, 311, 57681, 279, 3823, 6930, 374, 264, 9977, 311, 856, 4059, 13, 35971, 10068, 574, 279, 46829, 4751, 315, 6900, 369, 3515, 13160, 279, 2547, 13, 20148, 2646, 1053, 33304, 311, 656, 433, 323, 1193, 1884, 32415, 43132, 454, 311, 387, 1903, 1139, 29409, 13, 26823, 323, 3249, 19641, 12960, 1274, 1390, 311, 38339, 5151, 315, 9498, 3691, 627, 791, 61301, 10975, 315, 37219, 11689, 4315, 603, 67805, 603, 311, 33975, 3117, 7953, 1057, 1917, 23210, 527, 719, 264, 5041, 20784, 304, 3634, 323, 279, 61301, 10975, 315, 1274, 1694, 4529, 709, 304, 279, 1181, 72, 2469, 315, 279, 44875, 311, 1518, 279, 1917, 3770, 439, 264, 19763, 315, 1099, 4088, 627, 1687, 1440, 430, 584, 4250, 11000, 387, 279, 1193, 40771, 304, 3634, 433, 1053, 387, 46337, 311, 1781, 779, 3686, 3249, 15890, 814, 2586, 311, 1518, 603, 1457, 30, 7839, 3488, 719, 1436, 433, 387, 814, 656, 719, 539, 2288, 3345, 1521, 2919, 439, 1053, 499, 304, 872, 2035, 14392, 584, 1047, 1403, 1917, 25981, 11, 459, 40616, 13054, 323, 43086, 304, 682, 17089, 13, 358, 1053, 4822, 1664, 3201, 422, 358, 574, 1124, 13, 2435, 649, 4639, 603, 4400, 439, 682, 2288, 2466, 19946, 323, 45743, 1457, 374, 279, 2853, 311, 603, 24050, 1139, 3634, 7953, 279, 9958, 719, 539, 3596, 304, 53098, 1148, 4131, 709, 2011, 2586, 1523, 779, 1427, 520, 279, 83754, 430, 88799, 690, 539, 2187, 603, 311, 3137, 922, 323, 682, 70164, 11311, 59581, 439, 5246, 439, 433, 3782, 311, 3754, 627, 40, 1097, 539, 1618, 311, 2019, 810, 719, 3403, 706, 1903, 603, 83372, 449, 49044, 3754, 3794, 779, 3221, 279, 8206, 430, 584, 527, 719, 264, 2395, 377, 315, 16174, 304, 1057, 1866, 83645, 779, 1063, 3460, 315, 25530, 2324, 2011, 387, 704, 1070, 13, 358, 1781, 1524, 810, 11084, 1109, 603, 814, 649, 5944, 304, 6622, 4028, 279, 1887, 719, 311, 603, 220, 1041, 1667, 832, 1648, 1890, 11879, 662, 1271, 5944, 4994, 1057, 10353, 1253, 1935, 264, 19569, 9575, 13, 1226, 1205, 311, 15508, 709, 439, 832, 1938, 584, 690, 1205, 311, 5387, 1057, 11841, 323, 88799, 1205, 311, 2586, 4335, 389, 1148, 814, 3412, 1203, 323, 584, 12835, 520, 1124, 369, 3815, 1778, 304, 6367, 439, 7000, 315, 603, 527, 12314, 14971, 627, 12487, 19641, 26432, 617, 4400, 311, 656, 449, 4994, 24800, 520, 682, 627, 40, 3987, 499, 14333, 433, 3432, 439, 358, 617, 2884, 2555, 358, 2646, 617, 1603, 358, 617, 3309, 856, 11555, 323, 29056, 264, 23347, 304, 961, 389, 26432, 304, 14095, 5151, 719, 9107, 2500, 304, 20167, 2324, 627, 791, 10512, 1618, 374, 315, 264, 69707, 11003, 505, 264, 6138, 13, 358, 7182, 5602, 264, 11191, 577, 831, 304, 4497, 11860, 1395, 23542, 3158, 315, 6560, 304, 279, 5209, 220, 4468, 15, 82, 13, 1115, 574, 3970, 555, 1063, 220, 10617, 410, 1274, 439, 3117, 439, 220, 1041, 8931, 3201, 13, 3092, 6685, 323, 1403, 3885, 555, 2731, 18632, 4024, 1139, 279, 2254, 17222, 902, 4756, 682, 449, 7397, 2288, 304, 4156, 2199, 4360, 719, 574, 6288, 4529, 1022, 6412, 323, 912, 6685, 3782, 1203, 439, 814, 1524, 15164, 433, 7077, 13, 358, 617, 11311, 420, 574, 10717, 304, 1194, 555, 10423, 315, 6560, 13, 2876, 264, 3254, 15332, 477, 6685, 8625, 389, 1052, 304, 66223, 25460, 3626, 13, 358, 1550, 3729, 872, 39104, 304, 63325, 39634, 97414, 323, 1578, 311, 279, 17222, 1566, 1060, 719, 8051, 11471, 311, 2586, 1203, 311, 757, 4745, 358, 1440, 21847, 374, 279, 2082, 3492, 13, 1102, 1097, 74885, 757, 430, 19641, 26432, 430, 527, 1193, 3596, 1903, 555, 893, 527, 682, 927, 3754, 1855, 7474, 439, 11311, 430, 1023, 24800, 3073, 719, 279, 1972, 11311, 315, 70164, 2144, 527, 28016, 5655, 555, 84742, 889, 656, 539, 1390, 603, 311, 1440, 304, 1162, 315, 3148, 22743, 13, 2582, 11201, 30, 1226, 527, 2646, 7636, 323, 1063, 315, 603, 1440, 433, 627, 56, 2530, 2744, 11, 16351, 1022, 11, 17177, 16768, 627, 13857, 16768, 47, 1138, 11, 29627, 13, 679, 23, 128001, -100, 18, 25, 1644, 281, 749, 13, 60039, 6186, 220, 1419, 11, 220, 1049, 19, 482, 362, 13205, 400, 3965, 3610, 14800, 315, 279, 5165, 423, 56012, 16730, 690, 923, 4848, 502, 14016, 11, 24657, 279, 28099, 3634, 323, 1935, 709, 7154, 1403, 2539, 10215, 304, 19441, 1561, 27008, 627, 791, 24925, 706, 2736, 9408, 922, 400, 1272, 3610, 11, 14918, 505, 1614, 323, 6918, 17047, 13, 15341, 32767, 11, 24925, 4872, 11, 1071, 568, 25283, 810, 3300, 311, 2586, 505, 7931, 11, 25341, 323, 41582, 13, 25749, 8529, 473, 4129, 374, 99119, 21892, 315, 279, 3887, 59401, 3876, 4901, 627, 791, 14800, 690, 923, 50829, 389, 682, 3682, 21343, 315, 4435, 5111, 8105, 11, 459, 16627, 90695, 369, 13639, 323, 4236, 11, 323, 279, 5955, 369, 279, 19723, 315, 279, 3778, 17326, 11, 264, 6875, 323, 3495, 4219, 449, 3634, 369, 16659, 323, 68569, 627, 50384, 9954, 11, 279, 24925, 690, 3152, 400, 16949, 3610, 304, 2860, 10374, 11, 810, 1109, 220, 19, 11, 931, 2254, 7032, 323, 400, 972, 3610, 304, 1614, 323, 2254, 13426, 1855, 1060, 11, 4184, 311, 264, 24925, 3754, 4984, 627, 791, 24925, 25241, 279, 502, 3424, 323, 7510, 3987, 311, 4686, 8246, 555, 220, 679, 15, 13, 128001, -100, 475, 2709, 271, 475, 28864, 271, 1527, 20104, 1179, 29273, 271, 1527, 5819, 3928, 6545, 2581, 8354, 1179, 1893, 8354, 1432, 34963, 51636, 746, 755, 20104, 8354, 57165, 25255, 8, 1492, 29273, 512, 262, 2709, 24656, 1204, 6254, 7536, 22802, 1365, 284, 330, 9016, 702, 262, 917, 284, 1893, 8354, 746, 262, 7692, 917, 1432, 34963, 51636, 746, 755, 3016, 50847, 1091, 8354, 25, 29273, 997, 262, 471, 20104, 8354, 6085, 8342, 746, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74 ]
[ 128000, 7412, 709, 23214, 311, 5371, 1495, 6743, 922, 5951, 32174, 323, 1023, 3062, 18386, 2038, 13, 2991, 816, 311, 220, 24313, 4331, 505, 904, 2849, 1396, 389, 1052, 369, 701, 1716, 627, 14428, 7296, 374, 1057, 1176, 10844, 13, 426, 4881, 690, 2744, 14816, 29493, 994, 1070, 527, 8009, 5754, 4787, 13, 1226, 15763, 701, 30401, 11, 8830, 11, 323, 23915, 2391, 1521, 17436, 2919, 13, 432, 77465, 30978, 6130, 2532, 1650, 8286, 374, 9193, 1579, 2391, 3709, 1001, 9282, 13, 5751, 6156, 5357, 690, 387, 311, 6013, 311, 6880, 430, 527, 922, 35306, 5951, 32174, 11, 34480, 430, 3287, 1431, 17782, 11, 323, 837, 69074, 627, 2675, 649, 1505, 2038, 922, 2978, 32174, 11, 4597, 826, 11, 323, 4216, 13738, 1147, 389, 2254, 9063, 17789, 11, 12707, 12006, 320, 54, 8653, 33, 12, 18, 11, 45288, 5547, 11, 468, 30271, 39, 12, 23, 11, 323, 24426, 966, 8, 323, 279, 8191, 520, 8604, 1444, 3933, 65, 916, 323, 8604, 1444, 55911, 916, 627, 16, 13, 82328, 31483, 323, 611, 477, 27536, 617, 264, 23540, 8736, 13, 220, 16, 13, 30978, 690, 387, 23540, 13, 1442, 701, 1716, 596, 5951, 17482, 5361, 27536, 13, 279, 33297, 2978, 477, 9474, 449, 279, 22807, 7781, 690, 387, 8272, 627, 2520, 3187, 25, 1442, 4236, 505, 25517, 2630, 323, 57555, 527, 7263, 311, 68533, 82328, 6150, 304, 73220, 389, 832, 5951, 323, 73220, 3142, 31483, 374, 6041, 2978, 389, 892, 11, 25517, 1213, 67, 706, 264, 1403, 21925, 7781, 11, 323, 57555, 706, 264, 220, 1954, 24401, 7781, 11, 1243, 279, 5951, 690, 1629, 389, 264, 1403, 21925, 7781, 387, 25295, 361, 430, 374, 279, 22807, 7781, 389, 430, 5951, 6149, 627, 16, 13, 2052, 33297, 8853, 323, 27536, 527, 8036, 627, 17, 13, 8442, 73220, 3142, 31483, 527, 8036, 323, 9861, 33297, 8853, 323, 611, 477, 27536, 527, 1825, 627, 18, 13, 73220, 3142, 31483, 527, 1825, 323, 1063, 33297, 8853, 323, 611, 477, 27536, 527, 8036, 13, 220, 16, 13, 2360, 7710, 64, 290, 374, 3984, 627, 17, 13, 2360, 18386, 374, 3984, 627, 18, 13, 30978, 690, 387, 3984, 311, 323, 505, 33297, 8853, 323, 611, 477, 27536, 430, 527, 1825, 627, 16, 13, 82328, 8853, 323, 611, 477, 27536, 617, 459, 4216, 59323, 627, 12, 50063, 320, 4931, 14, 12228, 8, 5951, 11543, 220, 806, 25, 410, 264, 749, 627, 12, 1726, 661, 5951, 11543, 520, 220, 717, 25, 868, 281, 749, 627, 2520, 3187, 25, 1442, 701, 1716, 596, 5951, 17482, 5361, 27536, 389, 1202, 6149, 323, 520, 3325, 832, 9474, 706, 459, 4216, 59323, 11, 1109, 682, 279, 4236, 389, 430, 5951, 6149, 690, 387, 6004, 4216, 627, 15423, 6149, 2038, 374, 2561, 520, 8604, 522, 2827, 2726, 14, 27543, 367, 92985, 1030, 627, 128001, 128000, 271, 644, 32557, 1122, 11, 48869, 3178, 11, 17229, 12279, 9451, 323, 480, 1540, 1561, 14017, 15697, 198, 89294, 1023, 1043, 3571, 279, 3709, 198, 37, 300, 318, 11, 46247, 11, 426, 10214, 67, 323, 4072, 655, 5734, 198, 1170, 92514, 220, 16, 323, 220, 17, 6179, 603, 430, 198, 57224, 543, 11, 350, 73, 3181, 11, 362, 10056, 4422, 323, 31245, 269, 53455, 198, 791, 832, 323, 1193, 1615, 23772, 323, 198, 62881, 3258, 11, 8211, 300, 11, 445, 3267, 323, 84278, 6921, 198, 2170, 3117, 439, 2555, 1664, 77, 1108, 220, 18, 198, 47, 34315, 11, 2939, 411, 73, 1073, 11, 480, 442, 48624, 323, 59276, 31319, 94698, 198, 20560, 39653, 527, 304, 3149, 259, 198, 56902, 300, 6583, 11, 36258, 339, 11, 7566, 42201, 323, 432, 36648, 350, 24404, 198, 791, 1097, 66704, 1972, 315, 279, 3273, 198, 53, 7992, 11, 29041, 3168, 11, 350, 417, 75, 1751, 323, 650, 548, 74, 452, 4202, 84, 198, 2409, 430, 2262, 304, 4059, 11, 4295, 198, 33731, 11, 68553, 9451, 11, 47051, 61343, 323, 29041, 3168, 21780, 660, 5415, 315, 19748, 32921, 689, 198, 791, 77948, 79962, 12851, 1572, 10995, 198, 36, 6455, 301, 11, 5034, 417, 11, 2895, 392, 5308, 323, 72564, 39224, 2649, 198, 21279, 990, 539, 1120, 449, 279, 1536, 198, 38, 15278, 277, 11, 44023, 11, 9305, 78, 323, 47431, 263, 66739, 198, 791, 389, 912, 2759, 67610, 259, 198, 45, 287, 278, 11, 7695, 5697, 11, 1666, 31244, 323, 71884, 72630, 198, 9, 87266, 220, 605, 79049, 315, 305, 198, 23376, 411, 73, 1073, 11, 2577, 89, 752, 11, 9305, 78, 323, 56917, 437, 6890, 198, 791, 719, 3044, 311, 77277, 198, 49, 589, 12440, 11, 22806, 285, 11, 19984, 1039, 323, 549, 3427, 72857, 323, 2211, 17038, 30100, 198, 13461, 422, 568, 706, 264, 31161, 37401, 258, 345, 10976, 277, 11, 30397, 11, 9243, 716, 323, 47809, 12649, 56998, 198, 791, 77948, 79962, 12851, 1572, 5856, 128001, 128000, 1737, 4238, 268, 10181, 315, 9744, 320, 36, 1829, 8, 374, 1057, 1847, 49961, 7528, 6975, 12541, 627, 35, 291, 10297, 311, 25363, 6373, 4967, 323, 5070, 11, 469, 1829, 374, 279, 17139, 2592, 369, 20258, 323, 2128, 3697, 311, 636, 5644, 369, 6522, 304, 279, 3938, 13, 3161, 709, 4791, 18920, 7526, 11, 23387, 7620, 323, 93904, 7649, 11, 420, 2068, 374, 10728, 369, 2225, 6677, 10625, 288, 323, 709, 4991, 9585, 369, 279, 502, 1917, 627, 6153, 22815, 1701, 75150, 268, 11, 2128, 3697, 527, 17446, 311, 8895, 75150, 268, 10901, 327, 97792, 7709, 627, 2170, 264, 1510, 477, 4846, 75150, 268, 1217, 11, 499, 527, 459, 3062, 4562, 315, 279, 75150, 268, 3070, 13, 75150, 268, 13313, 11, 279, 7626, 753, 52121, 1912, 11, 690, 1180, 439, 264, 29130, 5211, 311, 3493, 499, 449, 264, 5452, 311, 4430, 3463, 11692, 11, 7076, 11, 2626, 323, 29130, 10708, 627, 128001, 128000, 4599, 378, 230, 9514, 2351, 7556, 922, 12624, 31003, 11, 378, 229, 605, 1667, 374, 264, 34231, 315, 279, 8071, 13, 2030, 369, 2322, 8703, 24203, 11, 279, 2115, 374, 7366, 19019, 13, 6104, 3544, 13230, 28271, 311, 7872, 279, 20057, 315, 24032, 323, 42068, 304, 264, 4029, 617, 1027, 43071, 76722, 2001, 279, 11344, 18654, 8385, 638, 5907, 323, 279, 8121, 22302, 96409, 84874, 527, 1403, 315, 279, 8706, 2001, 1690, 12074, 617, 4529, 9610, 315, 5655, 62119, 311, 3351, 279, 2115, 9017, 2225, 55394, 323, 16003, 6492, 13, 128001, 128000, 791, 8668, 315, 14956, 315, 279, 6913, 6070, 315, 279, 44024, 320, 69, 355, 81892, 11, 27296, 323, 9986, 8, 690, 6904, 389, 279, 11470, 5343, 304, 279, 16530, 13, 11359, 1124, 15499, 13, 5810, 527, 1063, 4689, 10631, 430, 3881, 311, 682, 1778, 62407, 512, 16, 8, 31941, 5052, 279, 5596, 1603, 2840, 7623, 13, 1115, 19813, 311, 259, 14550, 4395, 3871, 311, 1304, 2771, 430, 320, 64, 8, 499, 16365, 279, 11470, 323, 320, 65, 8, 279, 5596, 5052, 12722, 323, 1541, 956, 1397, 3682, 15173, 320, 275, 8741, 570, 1115, 690, 8965, 3152, 25012, 279, 35105, 323, 24937, 60724, 1990, 279, 32802, 75212, 11, 323, 259, 14550, 1124, 3871, 13, 5112, 17401, 279, 27296, 311, 279, 32802, 13, 5112, 1296, 5052, 279, 9986, 9863, 13, 34039, 287, 5435, 1457, 690, 387, 264, 2763, 2753, 35711, 1109, 1306, 499, 3881, 38561, 311, 279, 27529, 627, 59907, 25, 6690, 19563, 62407, 83614, 3871, 311, 1817, 369, 5052, 627, 17, 8, 45072, 315, 38561, 11, 1005, 439, 2697, 38561, 439, 3284, 13, 4418, 956, 73581, 6089, 505, 279, 14019, 8800, 279, 44024, 13, 328, 19901, 264, 2697, 8800, 264, 6710, 315, 21512, 5684, 11, 1243, 1005, 279, 11813, 315, 264, 9160, 311, 3881, 279, 38561, 304, 264, 15792, 75607, 13, 9934, 311, 2567, 279, 38561, 3221, 279, 4871, 315, 279, 6964, 13, 578, 13937, 38561, 690, 636, 65262, 704, 8800, 279, 7479, 315, 279, 44024, 323, 690, 2653, 268, 13, 1115, 320, 16, 8, 11705, 5066, 990, 449, 9462, 19716, 477, 3626, 311, 1304, 279, 7479, 11113, 1578, 320, 17, 8, 649, 5353, 7479, 7872, 311, 387, 7108, 2391, 279, 63061, 1920, 13, 3277, 433, 4131, 311, 38561, 11, 330, 1752, 374, 810, 23811, 18, 8, 7557, 2771, 430, 279, 17632, 374, 1695, 13, 578, 1584, 18667, 279, 20611, 46554, 1288, 387, 77933, 311, 279, 12414, 1913, 13, 578, 16600, 1913, 1288, 1101, 387, 77933, 311, 279, 12414, 1913, 13, 2806, 279, 44024, 505, 4156, 323, 1203, 2391, 279, 9235, 2269, 15154, 11, 1243, 48582, 439, 279, 38561, 374, 46479, 11, 311, 2033, 16313, 279, 17632, 13, 3861, 1648, 311, 636, 3221, 17453, 3836, 17632, 374, 311, 17401, 4395, 3871, 1176, 11, 1243, 1629, 14812, 38561, 320, 21470, 439, 18165, 710, 8, 1139, 279, 35358, 1701, 459, 2362, 11, 7060, 6308, 37161, 627, 19, 8, 1472, 690, 7170, 636, 33251, 1990, 279, 79215, 5596, 13, 4314, 527, 8196, 422, 814, 12446, 1405, 279, 69578, 81892, 75212, 5249, 11, 477, 1405, 279, 20611, 20628, 279, 69578, 81892, 13, 1472, 649, 4148, 1521, 555, 19486, 55810, 3769, 311, 279, 13225, 13, 3475, 1105, 323, 1023, 17032, 617, 21973, 2231, 29646, 1903, 369, 420, 7580, 512, 12, 21194, 1063, 79176, 17401, 389, 3060, 3185, 315, 279, 13225, 13, 2175, 439, 3345, 439, 3284, 320, 1752, 1109, 264, 2606, 26402, 4390, 12, 328, 19901, 1063, 315, 279, 2231, 1919, 389, 264, 21512, 6710, 315, 5684, 477, 12466, 627, 12, 5560, 264, 11041, 26588, 30345, 477, 1023, 51645, 9396, 439, 264, 2231, 1919, 22145, 25, 4018, 311, 264, 17676, 523, 66394, 12970, 6964, 627, 12, 21194, 279, 2231, 1919, 449, 279, 11041, 26588, 30345, 11, 26422, 1523, 30373, 1139, 279, 13225, 627, 12, 468, 3527, 3235, 279, 10496, 311, 4148, 279, 13937, 627, 12, 11016, 279, 17401, 11, 1243, 1095, 279, 2231, 1919, 9235, 439, 11349, 627, 12, 5560, 9462, 19716, 311, 11113, 279, 10496, 627, 12, 45901, 422, 5995, 627, 8538, 1274, 10932, 311, 1005, 11298, 26839, 9362, 38561, 369, 55810, 11, 1606, 433, 294, 4108, 4661, 22571, 1139, 264, 7479, 2653, 3403, 369, 9462, 287, 13, 4702, 15884, 289, 875, 1139, 279, 13225, 323, 1095, 9235, 13, 3161, 9362, 11, 1541, 956, 1005, 17401, 11, 433, 1253, 1120, 9396, 311, 279, 1646, 627, 39314, 25, 32009, 369, 13225, 21973, 13, 5560, 42533, 2231, 1919, 477, 9362, 38561, 627, 39314, 25, 59015, 311, 387, 10409, 627, 39314, 25, 58586, 304, 2035, 389, 3060, 3185, 315, 13225, 627, 39314, 25, 59015, 10409, 449, 3475, 1105, 6883, 2231, 1919, 627, 39314, 25, 4740, 220, 16, 4171, 46479, 892, 11, 2231, 1919, 274, 6601, 11113, 13, 128001, 128000, 2127, 68951, 6108, 77681, 6514, 6425, 198, 791, 10211, 2871, 706, 7946, 11798, 459, 68951, 6108, 77681, 6514, 6425, 520, 279, 19514, 295, 9355, 77681, 6514, 4375, 304, 279, 50341, 71, 3178, 71, 2957, 11182, 36803, 2786, 304, 445, 6802, 56809, 311, 28696, 279, 7524, 323, 11297, 17065, 315, 37493, 323, 78284, 304, 77681, 6514, 4375, 627, 54, 561, 48544, 6514, 4375, 304, 4987, 10384, 527, 13176, 5199, 11774, 11, 14918, 4245, 311, 80043, 14054, 11, 39413, 11156, 7512, 323, 7347, 6020, 5070, 13, 763, 43870, 398, 12020, 77681, 902, 374, 6004, 1139, 36617, 34103, 264, 5326, 311, 279, 4676, 323, 3823, 2890, 304, 52452, 10977, 627, 791, 68951, 6108, 6514, 902, 574, 11798, 304, 6484, 6514, 89455, 304, 19514, 295, 9355, 5829, 264, 3230, 4029, 315, 453, 16876, 9606, 11, 902, 617, 1027, 25181, 323, 89948, 304, 279, 27692, 13, 578, 68951, 29260, 37493, 902, 814, 1205, 369, 872, 6650, 505, 279, 3090, 13, 2435, 1101, 1893, 9662, 27089, 481, 4787, 369, 78284, 323, 384, 1824, 14559, 24032, 555, 7859, 279, 37143, 2237, 315, 279, 3090, 627, 6546, 2871, 12074, 617, 16572, 279, 20197, 315, 279, 89455, 323, 617, 8040, 264, 11630, 449, 25605, 323, 13709, 17959, 902, 649, 387, 1511, 555, 59589, 311, 10299, 68951, 6108, 77681, 6514, 6067, 627, 791, 1620, 6566, 315, 279, 2447, 5764, 279, 17219, 315, 7795, 311, 25024, 68951, 323, 33247, 78284, 449, 279, 3779, 8935, 315, 6968, 459, 15715, 582, 10745, 320, 18668, 2269, 34002, 8, 26255, 627, 9023, 7043, 52245, 8619, 3751, 128001 ]
[ -100, 7412, 709, 23214, 311, 5371, 1495, 6743, 922, 5951, 32174, 323, 1023, 3062, 18386, 2038, 13, 2991, 816, 311, 220, 24313, 4331, 505, 904, 2849, 1396, 389, 1052, 369, 701, 1716, 627, 14428, 7296, 374, 1057, 1176, 10844, 13, 426, 4881, 690, 2744, 14816, 29493, 994, 1070, 527, 8009, 5754, 4787, 13, 1226, 15763, 701, 30401, 11, 8830, 11, 323, 23915, 2391, 1521, 17436, 2919, 13, 432, 77465, 30978, 6130, 2532, 1650, 8286, 374, 9193, 1579, 2391, 3709, 1001, 9282, 13, 5751, 6156, 5357, 690, 387, 311, 6013, 311, 6880, 430, 527, 922, 35306, 5951, 32174, 11, 34480, 430, 3287, 1431, 17782, 11, 323, 837, 69074, 627, 2675, 649, 1505, 2038, 922, 2978, 32174, 11, 4597, 826, 11, 323, 4216, 13738, 1147, 389, 2254, 9063, 17789, 11, 12707, 12006, 320, 54, 8653, 33, 12, 18, 11, 45288, 5547, 11, 468, 30271, 39, 12, 23, 11, 323, 24426, 966, 8, 323, 279, 8191, 520, 8604, 1444, 3933, 65, 916, 323, 8604, 1444, 55911, 916, 627, 16, 13, 82328, 31483, 323, 611, 477, 27536, 617, 264, 23540, 8736, 13, 220, 16, 13, 30978, 690, 387, 23540, 13, 1442, 701, 1716, 596, 5951, 17482, 5361, 27536, 13, 279, 33297, 2978, 477, 9474, 449, 279, 22807, 7781, 690, 387, 8272, 627, 2520, 3187, 25, 1442, 4236, 505, 25517, 2630, 323, 57555, 527, 7263, 311, 68533, 82328, 6150, 304, 73220, 389, 832, 5951, 323, 73220, 3142, 31483, 374, 6041, 2978, 389, 892, 11, 25517, 1213, 67, 706, 264, 1403, 21925, 7781, 11, 323, 57555, 706, 264, 220, 1954, 24401, 7781, 11, 1243, 279, 5951, 690, 1629, 389, 264, 1403, 21925, 7781, 387, 25295, 361, 430, 374, 279, 22807, 7781, 389, 430, 5951, 6149, 627, 16, 13, 2052, 33297, 8853, 323, 27536, 527, 8036, 627, 17, 13, 8442, 73220, 3142, 31483, 527, 8036, 323, 9861, 33297, 8853, 323, 611, 477, 27536, 527, 1825, 627, 18, 13, 73220, 3142, 31483, 527, 1825, 323, 1063, 33297, 8853, 323, 611, 477, 27536, 527, 8036, 13, 220, 16, 13, 2360, 7710, 64, 290, 374, 3984, 627, 17, 13, 2360, 18386, 374, 3984, 627, 18, 13, 30978, 690, 387, 3984, 311, 323, 505, 33297, 8853, 323, 611, 477, 27536, 430, 527, 1825, 627, 16, 13, 82328, 8853, 323, 611, 477, 27536, 617, 459, 4216, 59323, 627, 12, 50063, 320, 4931, 14, 12228, 8, 5951, 11543, 220, 806, 25, 410, 264, 749, 627, 12, 1726, 661, 5951, 11543, 520, 220, 717, 25, 868, 281, 749, 627, 2520, 3187, 25, 1442, 701, 1716, 596, 5951, 17482, 5361, 27536, 389, 1202, 6149, 323, 520, 3325, 832, 9474, 706, 459, 4216, 59323, 11, 1109, 682, 279, 4236, 389, 430, 5951, 6149, 690, 387, 6004, 4216, 627, 15423, 6149, 2038, 374, 2561, 520, 8604, 522, 2827, 2726, 14, 27543, 367, 92985, 1030, 627, 128001, -100, 271, 644, 32557, 1122, 11, 48869, 3178, 11, 17229, 12279, 9451, 323, 480, 1540, 1561, 14017, 15697, 198, 89294, 1023, 1043, 3571, 279, 3709, 198, 37, 300, 318, 11, 46247, 11, 426, 10214, 67, 323, 4072, 655, 5734, 198, 1170, 92514, 220, 16, 323, 220, 17, 6179, 603, 430, 198, 57224, 543, 11, 350, 73, 3181, 11, 362, 10056, 4422, 323, 31245, 269, 53455, 198, 791, 832, 323, 1193, 1615, 23772, 323, 198, 62881, 3258, 11, 8211, 300, 11, 445, 3267, 323, 84278, 6921, 198, 2170, 3117, 439, 2555, 1664, 77, 1108, 220, 18, 198, 47, 34315, 11, 2939, 411, 73, 1073, 11, 480, 442, 48624, 323, 59276, 31319, 94698, 198, 20560, 39653, 527, 304, 3149, 259, 198, 56902, 300, 6583, 11, 36258, 339, 11, 7566, 42201, 323, 432, 36648, 350, 24404, 198, 791, 1097, 66704, 1972, 315, 279, 3273, 198, 53, 7992, 11, 29041, 3168, 11, 350, 417, 75, 1751, 323, 650, 548, 74, 452, 4202, 84, 198, 2409, 430, 2262, 304, 4059, 11, 4295, 198, 33731, 11, 68553, 9451, 11, 47051, 61343, 323, 29041, 3168, 21780, 660, 5415, 315, 19748, 32921, 689, 198, 791, 77948, 79962, 12851, 1572, 10995, 198, 36, 6455, 301, 11, 5034, 417, 11, 2895, 392, 5308, 323, 72564, 39224, 2649, 198, 21279, 990, 539, 1120, 449, 279, 1536, 198, 38, 15278, 277, 11, 44023, 11, 9305, 78, 323, 47431, 263, 66739, 198, 791, 389, 912, 2759, 67610, 259, 198, 45, 287, 278, 11, 7695, 5697, 11, 1666, 31244, 323, 71884, 72630, 198, 9, 87266, 220, 605, 79049, 315, 305, 198, 23376, 411, 73, 1073, 11, 2577, 89, 752, 11, 9305, 78, 323, 56917, 437, 6890, 198, 791, 719, 3044, 311, 77277, 198, 49, 589, 12440, 11, 22806, 285, 11, 19984, 1039, 323, 549, 3427, 72857, 323, 2211, 17038, 30100, 198, 13461, 422, 568, 706, 264, 31161, 37401, 258, 345, 10976, 277, 11, 30397, 11, 9243, 716, 323, 47809, 12649, 56998, 198, 791, 77948, 79962, 12851, 1572, 5856, 128001, -100, 1737, 4238, 268, 10181, 315, 9744, 320, 36, 1829, 8, 374, 1057, 1847, 49961, 7528, 6975, 12541, 627, 35, 291, 10297, 311, 25363, 6373, 4967, 323, 5070, 11, 469, 1829, 374, 279, 17139, 2592, 369, 20258, 323, 2128, 3697, 311, 636, 5644, 369, 6522, 304, 279, 3938, 13, 3161, 709, 4791, 18920, 7526, 11, 23387, 7620, 323, 93904, 7649, 11, 420, 2068, 374, 10728, 369, 2225, 6677, 10625, 288, 323, 709, 4991, 9585, 369, 279, 502, 1917, 627, 6153, 22815, 1701, 75150, 268, 11, 2128, 3697, 527, 17446, 311, 8895, 75150, 268, 10901, 327, 97792, 7709, 627, 2170, 264, 1510, 477, 4846, 75150, 268, 1217, 11, 499, 527, 459, 3062, 4562, 315, 279, 75150, 268, 3070, 13, 75150, 268, 13313, 11, 279, 7626, 753, 52121, 1912, 11, 690, 1180, 439, 264, 29130, 5211, 311, 3493, 499, 449, 264, 5452, 311, 4430, 3463, 11692, 11, 7076, 11, 2626, 323, 29130, 10708, 627, 128001, -100, 4599, 378, 230, 9514, 2351, 7556, 922, 12624, 31003, 11, 378, 229, 605, 1667, 374, 264, 34231, 315, 279, 8071, 13, 2030, 369, 2322, 8703, 24203, 11, 279, 2115, 374, 7366, 19019, 13, 6104, 3544, 13230, 28271, 311, 7872, 279, 20057, 315, 24032, 323, 42068, 304, 264, 4029, 617, 1027, 43071, 76722, 2001, 279, 11344, 18654, 8385, 638, 5907, 323, 279, 8121, 22302, 96409, 84874, 527, 1403, 315, 279, 8706, 2001, 1690, 12074, 617, 4529, 9610, 315, 5655, 62119, 311, 3351, 279, 2115, 9017, 2225, 55394, 323, 16003, 6492, 13, 128001, -100, 791, 8668, 315, 14956, 315, 279, 6913, 6070, 315, 279, 44024, 320, 69, 355, 81892, 11, 27296, 323, 9986, 8, 690, 6904, 389, 279, 11470, 5343, 304, 279, 16530, 13, 11359, 1124, 15499, 13, 5810, 527, 1063, 4689, 10631, 430, 3881, 311, 682, 1778, 62407, 512, 16, 8, 31941, 5052, 279, 5596, 1603, 2840, 7623, 13, 1115, 19813, 311, 259, 14550, 4395, 3871, 311, 1304, 2771, 430, 320, 64, 8, 499, 16365, 279, 11470, 323, 320, 65, 8, 279, 5596, 5052, 12722, 323, 1541, 956, 1397, 3682, 15173, 320, 275, 8741, 570, 1115, 690, 8965, 3152, 25012, 279, 35105, 323, 24937, 60724, 1990, 279, 32802, 75212, 11, 323, 259, 14550, 1124, 3871, 13, 5112, 17401, 279, 27296, 311, 279, 32802, 13, 5112, 1296, 5052, 279, 9986, 9863, 13, 34039, 287, 5435, 1457, 690, 387, 264, 2763, 2753, 35711, 1109, 1306, 499, 3881, 38561, 311, 279, 27529, 627, 59907, 25, 6690, 19563, 62407, 83614, 3871, 311, 1817, 369, 5052, 627, 17, 8, 45072, 315, 38561, 11, 1005, 439, 2697, 38561, 439, 3284, 13, 4418, 956, 73581, 6089, 505, 279, 14019, 8800, 279, 44024, 13, 328, 19901, 264, 2697, 8800, 264, 6710, 315, 21512, 5684, 11, 1243, 1005, 279, 11813, 315, 264, 9160, 311, 3881, 279, 38561, 304, 264, 15792, 75607, 13, 9934, 311, 2567, 279, 38561, 3221, 279, 4871, 315, 279, 6964, 13, 578, 13937, 38561, 690, 636, 65262, 704, 8800, 279, 7479, 315, 279, 44024, 323, 690, 2653, 268, 13, 1115, 320, 16, 8, 11705, 5066, 990, 449, 9462, 19716, 477, 3626, 311, 1304, 279, 7479, 11113, 1578, 320, 17, 8, 649, 5353, 7479, 7872, 311, 387, 7108, 2391, 279, 63061, 1920, 13, 3277, 433, 4131, 311, 38561, 11, 330, 1752, 374, 810, 23811, 18, 8, 7557, 2771, 430, 279, 17632, 374, 1695, 13, 578, 1584, 18667, 279, 20611, 46554, 1288, 387, 77933, 311, 279, 12414, 1913, 13, 578, 16600, 1913, 1288, 1101, 387, 77933, 311, 279, 12414, 1913, 13, 2806, 279, 44024, 505, 4156, 323, 1203, 2391, 279, 9235, 2269, 15154, 11, 1243, 48582, 439, 279, 38561, 374, 46479, 11, 311, 2033, 16313, 279, 17632, 13, 3861, 1648, 311, 636, 3221, 17453, 3836, 17632, 374, 311, 17401, 4395, 3871, 1176, 11, 1243, 1629, 14812, 38561, 320, 21470, 439, 18165, 710, 8, 1139, 279, 35358, 1701, 459, 2362, 11, 7060, 6308, 37161, 627, 19, 8, 1472, 690, 7170, 636, 33251, 1990, 279, 79215, 5596, 13, 4314, 527, 8196, 422, 814, 12446, 1405, 279, 69578, 81892, 75212, 5249, 11, 477, 1405, 279, 20611, 20628, 279, 69578, 81892, 13, 1472, 649, 4148, 1521, 555, 19486, 55810, 3769, 311, 279, 13225, 13, 3475, 1105, 323, 1023, 17032, 617, 21973, 2231, 29646, 1903, 369, 420, 7580, 512, 12, 21194, 1063, 79176, 17401, 389, 3060, 3185, 315, 279, 13225, 13, 2175, 439, 3345, 439, 3284, 320, 1752, 1109, 264, 2606, 26402, 4390, 12, 328, 19901, 1063, 315, 279, 2231, 1919, 389, 264, 21512, 6710, 315, 5684, 477, 12466, 627, 12, 5560, 264, 11041, 26588, 30345, 477, 1023, 51645, 9396, 439, 264, 2231, 1919, 22145, 25, 4018, 311, 264, 17676, 523, 66394, 12970, 6964, 627, 12, 21194, 279, 2231, 1919, 449, 279, 11041, 26588, 30345, 11, 26422, 1523, 30373, 1139, 279, 13225, 627, 12, 468, 3527, 3235, 279, 10496, 311, 4148, 279, 13937, 627, 12, 11016, 279, 17401, 11, 1243, 1095, 279, 2231, 1919, 9235, 439, 11349, 627, 12, 5560, 9462, 19716, 311, 11113, 279, 10496, 627, 12, 45901, 422, 5995, 627, 8538, 1274, 10932, 311, 1005, 11298, 26839, 9362, 38561, 369, 55810, 11, 1606, 433, 294, 4108, 4661, 22571, 1139, 264, 7479, 2653, 3403, 369, 9462, 287, 13, 4702, 15884, 289, 875, 1139, 279, 13225, 323, 1095, 9235, 13, 3161, 9362, 11, 1541, 956, 1005, 17401, 11, 433, 1253, 1120, 9396, 311, 279, 1646, 627, 39314, 25, 32009, 369, 13225, 21973, 13, 5560, 42533, 2231, 1919, 477, 9362, 38561, 627, 39314, 25, 59015, 311, 387, 10409, 627, 39314, 25, 58586, 304, 2035, 389, 3060, 3185, 315, 13225, 627, 39314, 25, 59015, 10409, 449, 3475, 1105, 6883, 2231, 1919, 627, 39314, 25, 4740, 220, 16, 4171, 46479, 892, 11, 2231, 1919, 274, 6601, 11113, 13, 128001, -100, 2127, 68951, 6108, 77681, 6514, 6425, 198, 791, 10211, 2871, 706, 7946, 11798, 459, 68951, 6108, 77681, 6514, 6425, 520, 279, 19514, 295, 9355, 77681, 6514, 4375, 304, 279, 50341, 71, 3178, 71, 2957, 11182, 36803, 2786, 304, 445, 6802, 56809, 311, 28696, 279, 7524, 323, 11297, 17065, 315, 37493, 323, 78284, 304, 77681, 6514, 4375, 627, 54, 561, 48544, 6514, 4375, 304, 4987, 10384, 527, 13176, 5199, 11774, 11, 14918, 4245, 311, 80043, 14054, 11, 39413, 11156, 7512, 323, 7347, 6020, 5070, 13, 763, 43870, 398, 12020, 77681, 902, 374, 6004, 1139, 36617, 34103, 264, 5326, 311, 279, 4676, 323, 3823, 2890, 304, 52452, 10977, 627, 791, 68951, 6108, 6514, 902, 574, 11798, 304, 6484, 6514, 89455, 304, 19514, 295, 9355, 5829, 264, 3230, 4029, 315, 453, 16876, 9606, 11, 902, 617, 1027, 25181, 323, 89948, 304, 279, 27692, 13, 578, 68951, 29260, 37493, 902, 814, 1205, 369, 872, 6650, 505, 279, 3090, 13, 2435, 1101, 1893, 9662, 27089, 481, 4787, 369, 78284, 323, 384, 1824, 14559, 24032, 555, 7859, 279, 37143, 2237, 315, 279, 3090, 627, 6546, 2871, 12074, 617, 16572, 279, 20197, 315, 279, 89455, 323, 617, 8040, 264, 11630, 449, 25605, 323, 13709, 17959, 902, 649, 387, 1511, 555, 59589, 311, 10299, 68951, 6108, 77681, 6514, 6067, 627, 791, 1620, 6566, 315, 279, 2447, 5764, 279, 17219, 315, 7795, 311, 25024, 68951, 323, 33247, 78284, 449, 279, 3779, 8935, 315, 6968, 459, 15715, 582, 10745, 320, 18668, 2269, 34002, 8, 26255, 627, 9023, 7043, 52245, 8619, 3751, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252 ]
[ 128000, 38, 2177, 8070, 6296, 13, 9558, 8070, 25, 459, 24131, 198, 791, 18324, 323, 13122, 315, 8070, 527, 9200, 323, 6485, 4819, 369, 2759, 1821, 13, 9176, 15167, 1101, 1934, 872, 8070, 11, 323, 279, 6811, 1990, 264, 2678, 2626, 753, 4272, 323, 20547, 8070, 649, 617, 5199, 3827, 25127, 422, 5906, 26337, 13, 2684, 527, 1690, 18004, 5789, 304, 2225, 24043, 323, 13122, 11, 719, 13967, 682, 8070, 15662, 505, 6763, 14463, 17503, 1139, 20547, 477, 4272, 11306, 627, 1622, 3585, 311, 6227, 198, 12, 578, 18324, 323, 13122, 315, 8070, 527, 9200, 323, 6485, 4819, 369, 2759, 1821, 627, 12, 2650, 8070, 374, 12715, 323, 5068, 374, 1101, 3062, 311, 15167, 323, 6020, 31499, 627, 12, 3277, 20547, 13254, 374, 12715, 11, 682, 13254, 505, 264, 6412, 374, 15324, 304, 279, 8070, 5224, 13, 2684, 374, 912, 18361, 369, 18512, 505, 904, 2592, 627, 12, 26848, 11, 279, 4272, 8070, 1934, 374, 16997, 555, 33356, 287, 279, 2853, 315, 11822, 6216, 505, 279, 20547, 8070, 323, 5825, 264, 810, 13687, 6945, 315, 279, 5740, 1584, 627, 38, 2177, 8070, 5224, 198, 4599, 20547, 8070, 320, 269, 20547, 6763, 8, 374, 12715, 11, 682, 13254, 505, 264, 6412, 374, 15324, 304, 279, 8070, 5224, 13, 2684, 374, 912, 18361, 369, 18512, 505, 904, 2592, 627, 38, 2177, 13254, 6821, 22429, 2853, 315, 11822, 6216, 320, 8445, 16929, 8, 323, 1193, 2980, 3300, 8066, 505, 6763, 13, 1789, 3187, 11, 422, 264, 72619, 59775, 6216, 264, 6857, 315, 15653, 369, 400, 220, 1041, 11, 279, 20547, 8070, 1053, 387, 400, 220, 1041, 11, 1524, 3582, 279, 15653, 2853, 400, 220, 1272, 311, 1304, 13, 12028, 17959, 369, 13122, 20547, 19579, 4272, 8070, 1234, 8965, 11928, 24043, 16565, 320, 16519, 2599, 8, 617, 1027, 20669, 555, 279, 86148, 37543, 5546, 11994, 11, 477, 469, 964, 37, 220, 1484, 12, 777, 627, 25499, 315, 4272, 8070, 198, 7099, 8070, 320, 269, 4272, 6763, 8, 48517, 1148, 753, 2163, 389, 279, 1054, 15205, 1584, 2476, 16997, 555, 33356, 287, 2853, 315, 11822, 6216, 505, 20547, 8070, 13, 1789, 279, 1890, 72619, 59775, 11, 279, 4272, 8070, 369, 279, 400, 220, 1041, 6857, 315, 15653, 6216, 11, 902, 7194, 400, 220, 1272, 311, 1304, 11, 1053, 387, 400, 220, 1399, 13, 5659, 430, 400, 220, 1399, 11, 814, 1053, 37910, 682, 1023, 7194, 1093, 8175, 11, 37532, 369, 1023, 5687, 11, 24066, 11, 5099, 13, 42033, 430, 11105, 264, 2853, 311, 279, 72619, 59775, 1053, 387, 96604, 505, 279, 20547, 8070, 315, 400, 220, 1041, 11, 902, 1053, 3041, 279, 4272, 8070, 627, 7099, 13254, 374, 6118, 5068, 994, 264, 12396, 3966, 311, 387, 99216, 477, 994, 264, 19353, 21879, 264, 13651, 315, 279, 13254, 13, 362, 11670, 3187, 374, 5897, 12718, 11, 1405, 264, 15779, 690, 4661, 2744, 1935, 264, 11668, 315, 279, 4272, 34555, 315, 279, 39725, 29845, 26420, 430, 814, 5371, 264, 5190, 17516, 3392, 2533, 279, 11668, 374, 15107, 505, 264, 5190, 2926, 1396, 627, 644, 24043, 57726, 11, 264, 94862, 374, 264, 2626, 477, 3927, 889, 374, 8647, 369, 8405, 264, 4371, 481, 2027, 477, 2532, 13, 578, 43851, 315, 264, 12717, 94862, 374, 16996, 369, 279, 18489, 315, 8070, 627, 2520, 3187, 11, 23289, 8351, 362, 70901, 7039, 13, 1102, 11835, 5788, 7194, 11, 22204, 15808, 323, 6807, 5326, 304, 1202, 7677, 11, 323, 649, 5268, 20972, 323, 743, 7729, 13, 16644, 1521, 7482, 11, 8351, 362, 374, 9539, 279, 6156, 94862, 323, 6821, 904, 8070, 505, 279, 6412, 315, 1202, 7039, 439, 20547, 627, 14831, 426, 374, 459, 7757, 3637, 430, 40019, 3956, 505, 2204, 20972, 311, 4754, 6444, 11, 323, 8351, 426, 753, 3997, 706, 264, 18141, 430, 433, 374, 539, 8647, 369, 11862, 477, 4367, 13, 3956, 4036, 555, 6444, 13, 763, 420, 1162, 11, 8351, 426, 374, 539, 279, 6156, 94862, 323, 374, 4461, 13122, 904, 4272, 8070, 627, 34976, 1105, 323, 35687, 690, 1005, 872, 4272, 8070, 311, 11294, 872, 6864, 20192, 3827, 369, 279, 1060, 26, 433, 753, 6118, 439, 4382, 439, 33356, 287, 279, 9974, 4814, 505, 279, 24608, 323, 1694, 72515, 389, 279, 2800, 13, 128001, 128000, 56, 15559, 13, 1472, 2019, 499, 13434, 1431, 617, 8621, 420, 1606, 912, 832, 374, 4737, 701, 16024, 1139, 2759, 922, 279, 20392, 10264, 11, 719, 499, 16168, 16584, 433, 6261, 430, 499, 1541, 1431, 1781, 279, 20392, 10264, 374, 64882, 13, 1472, 4934, 1077, 311, 1935, 701, 1566, 836, 11, 499, 1051, 23268, 1364, 3287, 1431, 1390, 311, 11, 779, 499, 16846, 449, 2555, 499, 3463, 315, 439, 459, 1054, 26378, 12031, 11453, 1102, 374, 61585, 311, 2019, 1054, 2319, 499, 1541, 1431, 7655, 449, 420, 14135, 30, 8489, 1243, 358, 1541, 1431, 7655, 449, 420, 14135, 3060, 863, 422, 499, 3207, 1193, 5605, 433, 311, 41043, 1077, 6944, 13, 1472, 1193, 1766, 459, 4652, 430, 19168, 701, 1486, 1306, 499, 9749, 1148, 701, 1486, 574, 13, 128001 ]
[ -100, 38, 2177, 8070, 6296, 13, 9558, 8070, 25, 459, 24131, 198, 791, 18324, 323, 13122, 315, 8070, 527, 9200, 323, 6485, 4819, 369, 2759, 1821, 13, 9176, 15167, 1101, 1934, 872, 8070, 11, 323, 279, 6811, 1990, 264, 2678, 2626, 753, 4272, 323, 20547, 8070, 649, 617, 5199, 3827, 25127, 422, 5906, 26337, 13, 2684, 527, 1690, 18004, 5789, 304, 2225, 24043, 323, 13122, 11, 719, 13967, 682, 8070, 15662, 505, 6763, 14463, 17503, 1139, 20547, 477, 4272, 11306, 627, 1622, 3585, 311, 6227, 198, 12, 578, 18324, 323, 13122, 315, 8070, 527, 9200, 323, 6485, 4819, 369, 2759, 1821, 627, 12, 2650, 8070, 374, 12715, 323, 5068, 374, 1101, 3062, 311, 15167, 323, 6020, 31499, 627, 12, 3277, 20547, 13254, 374, 12715, 11, 682, 13254, 505, 264, 6412, 374, 15324, 304, 279, 8070, 5224, 13, 2684, 374, 912, 18361, 369, 18512, 505, 904, 2592, 627, 12, 26848, 11, 279, 4272, 8070, 1934, 374, 16997, 555, 33356, 287, 279, 2853, 315, 11822, 6216, 505, 279, 20547, 8070, 323, 5825, 264, 810, 13687, 6945, 315, 279, 5740, 1584, 627, 38, 2177, 8070, 5224, 198, 4599, 20547, 8070, 320, 269, 20547, 6763, 8, 374, 12715, 11, 682, 13254, 505, 264, 6412, 374, 15324, 304, 279, 8070, 5224, 13, 2684, 374, 912, 18361, 369, 18512, 505, 904, 2592, 627, 38, 2177, 13254, 6821, 22429, 2853, 315, 11822, 6216, 320, 8445, 16929, 8, 323, 1193, 2980, 3300, 8066, 505, 6763, 13, 1789, 3187, 11, 422, 264, 72619, 59775, 6216, 264, 6857, 315, 15653, 369, 400, 220, 1041, 11, 279, 20547, 8070, 1053, 387, 400, 220, 1041, 11, 1524, 3582, 279, 15653, 2853, 400, 220, 1272, 311, 1304, 13, 12028, 17959, 369, 13122, 20547, 19579, 4272, 8070, 1234, 8965, 11928, 24043, 16565, 320, 16519, 2599, 8, 617, 1027, 20669, 555, 279, 86148, 37543, 5546, 11994, 11, 477, 469, 964, 37, 220, 1484, 12, 777, 627, 25499, 315, 4272, 8070, 198, 7099, 8070, 320, 269, 4272, 6763, 8, 48517, 1148, 753, 2163, 389, 279, 1054, 15205, 1584, 2476, 16997, 555, 33356, 287, 2853, 315, 11822, 6216, 505, 20547, 8070, 13, 1789, 279, 1890, 72619, 59775, 11, 279, 4272, 8070, 369, 279, 400, 220, 1041, 6857, 315, 15653, 6216, 11, 902, 7194, 400, 220, 1272, 311, 1304, 11, 1053, 387, 400, 220, 1399, 13, 5659, 430, 400, 220, 1399, 11, 814, 1053, 37910, 682, 1023, 7194, 1093, 8175, 11, 37532, 369, 1023, 5687, 11, 24066, 11, 5099, 13, 42033, 430, 11105, 264, 2853, 311, 279, 72619, 59775, 1053, 387, 96604, 505, 279, 20547, 8070, 315, 400, 220, 1041, 11, 902, 1053, 3041, 279, 4272, 8070, 627, 7099, 13254, 374, 6118, 5068, 994, 264, 12396, 3966, 311, 387, 99216, 477, 994, 264, 19353, 21879, 264, 13651, 315, 279, 13254, 13, 362, 11670, 3187, 374, 5897, 12718, 11, 1405, 264, 15779, 690, 4661, 2744, 1935, 264, 11668, 315, 279, 4272, 34555, 315, 279, 39725, 29845, 26420, 430, 814, 5371, 264, 5190, 17516, 3392, 2533, 279, 11668, 374, 15107, 505, 264, 5190, 2926, 1396, 627, 644, 24043, 57726, 11, 264, 94862, 374, 264, 2626, 477, 3927, 889, 374, 8647, 369, 8405, 264, 4371, 481, 2027, 477, 2532, 13, 578, 43851, 315, 264, 12717, 94862, 374, 16996, 369, 279, 18489, 315, 8070, 627, 2520, 3187, 11, 23289, 8351, 362, 70901, 7039, 13, 1102, 11835, 5788, 7194, 11, 22204, 15808, 323, 6807, 5326, 304, 1202, 7677, 11, 323, 649, 5268, 20972, 323, 743, 7729, 13, 16644, 1521, 7482, 11, 8351, 362, 374, 9539, 279, 6156, 94862, 323, 6821, 904, 8070, 505, 279, 6412, 315, 1202, 7039, 439, 20547, 627, 14831, 426, 374, 459, 7757, 3637, 430, 40019, 3956, 505, 2204, 20972, 311, 4754, 6444, 11, 323, 8351, 426, 753, 3997, 706, 264, 18141, 430, 433, 374, 539, 8647, 369, 11862, 477, 4367, 13, 3956, 4036, 555, 6444, 13, 763, 420, 1162, 11, 8351, 426, 374, 539, 279, 6156, 94862, 323, 374, 4461, 13122, 904, 4272, 8070, 627, 34976, 1105, 323, 35687, 690, 1005, 872, 4272, 8070, 311, 11294, 872, 6864, 20192, 3827, 369, 279, 1060, 26, 433, 753, 6118, 439, 4382, 439, 33356, 287, 279, 9974, 4814, 505, 279, 24608, 323, 1694, 72515, 389, 279, 2800, 13, 128001, -100, 56, 15559, 13, 1472, 2019, 499, 13434, 1431, 617, 8621, 420, 1606, 912, 832, 374, 4737, 701, 16024, 1139, 2759, 922, 279, 20392, 10264, 11, 719, 499, 16168, 16584, 433, 6261, 430, 499, 1541, 1431, 1781, 279, 20392, 10264, 374, 64882, 13, 1472, 4934, 1077, 311, 1935, 701, 1566, 836, 11, 499, 1051, 23268, 1364, 3287, 1431, 1390, 311, 11, 779, 499, 16846, 449, 2555, 499, 3463, 315, 439, 459, 1054, 26378, 12031, 11453, 1102, 374, 61585, 311, 2019, 1054, 2319, 499, 1541, 1431, 7655, 449, 420, 14135, 30, 8489, 1243, 358, 1541, 1431, 7655, 449, 420, 14135, 3060, 863, 422, 499, 3207, 1193, 5605, 433, 311, 41043, 1077, 6944, 13, 1472, 1193, 1766, 459, 4652, 430, 19168, 701, 1486, 1306, 499, 9749, 1148, 701, 1486, 574, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129 ]
[ 128000, 67288, 374, 264, 892, 311, 6435, 1523, 11, 264, 892, 369, 28566, 93037, 323, 8369, 40086, 11, 369, 43535, 2162, 23283, 11059, 21644, 11, 323, 264, 892, 311, 14195, 701, 25398, 2130, 2759, 369, 279, 30619, 4967, 3280, 1981, 50, 3864, 912, 832, 3596, 4999, 57489, 527, 539, 16984, 315, 279, 12688, 0, 1472, 1541, 1431, 49679, 346, 389, 279, 1695, 2362, 7474, 32327, 11, 17437, 2571, 1445, 7397, 46227, 279, 9439, 19117, 1431, 11721, 13, 1472, 1541, 1431, 3719, 264, 20985, 311, 701, 30619, 29994, 323, 10894, 1148, 7878, 3805, 304, 701, 45274, 11321, 1093, 13, 2360, 11, 499, 3207, 264, 837, 100235, 323, 994, 12688, 4131, 11, 499, 22118, 8996, 4131, 701, 1648, 11, 70817, 311, 279, 6671, 555, 28799, 398, 7999, 13931, 311, 701, 16530, 13, 1472, 1518, 94950, 304, 279, 12688, 439, 459, 5066, 8815, 323, 499, 3207, 12691, 311, 387, 5496, 14201, 2915, 1060, 21691, 627, 438, 13912, 499, 8369, 323, 9235, 304, 20472, 439, 9439, 439, 482, 605, 135, 248, 34, 0, 1102, 753, 32393, 449, 93090, 369, 430, 43535, 2733, 389, 701, 6930, 627, 128001, 128000, 42, 49358, 28187, 753, 3451, 791, 6063, 14123, 2508, 123956, 2127, 24131, 323, 6492, 315, 28187, 753, 990, 1595, 791, 6063, 14123, 2508, 7964, 5423, 304, 12976, 311, 71217, 301, 753, 19675, 627, 2028, 5684, 6835, 459, 24131, 315, 578, 6063, 14123, 2508, 11, 5439, 555, 28187, 323, 3365, 2053, 13, 578, 5684, 35434, 28187, 753, 13010, 311, 71217, 301, 753, 10334, 323, 279, 16665, 369, 813, 3769, 43656, 315, 279, 6300, 3823, 17140, 13, 2684, 374, 264, 4860, 323, 10430, 3857, 520, 279, 842, 315, 279, 5684, 902, 25930, 3585, 311, 4726, 13488, 477, 311, 51077, 10652, 315, 28187, 323, 813, 990, 627, 12331, 87, 323, 3365, 2053, 6267, 578, 6063, 14123, 2508, 304, 220, 10336, 20, 12, 1774, 304, 2077, 311, 279, 71217, 70664, 320, 438, 1093, 34423, 8, 19675, 46941, 304, 279, 43422, 315, 52210, 79701, 11, 7639, 65292, 1215, 11, 35131, 2895, 359, 11, 439, 1664, 439, 279, 20207, 67475, 306, 315, 279, 13566, 11529, 797, 301, 5493, 13, 28187, 6612, 430, 1778, 54180, 389, 10748, 3463, 323, 10973, 9090, 11299, 2949, 279, 22651, 315, 13901, 810, 779, 1109, 264, 14509, 10334, 315, 3925, 13, 5414, 43656, 11, 3451, 58, 72, 60, 77, 2167, 13168, 311, 279, 6063, 19675, 902, 6697, 1438, 505, 23070, 311, 9578, 11, 76412, 12144, 60, 505, 9578, 311, 23070, 11, 42418, 510, 75, 60, 1643, 374, 539, 11075, 555, 25917, 11, 719, 25917, 555, 2324, 320, 12331, 87, 220, 4468, 17, 25, 220, 10559, 12, 9992, 570, 25218, 578, 6063, 14123, 2508, 28187, 97298, 988, 8530, 279, 1455, 16195, 5224, 315, 813, 10334, 315, 3925, 304, 1148, 568, 19813, 311, 439, 279, 3769, 380, 43656, 315, 3925, 26, 3686, 11, 832, 649, 1193, 30357, 4097, 1274, 439, 264, 734, 315, 279, 2317, 304, 902, 814, 3974, 13, 1789, 28187, 11, 5788, 374, 279, 9200, 2317, 315, 3823, 5820, 323, 14209, 2029, 128001, 128000, 3968, 90714, 42272, 12690, 527, 18921, 12690, 4856, 1109, 14098, 92253, 12690, 11, 323, 814, 617, 74156, 11, 46536, 80105, 2391, 279, 7474, 13, 2435, 11984, 10437, 4773, 6427, 4251, 477, 18718, 19837, 304, 10683, 11, 719, 1288, 2646, 9229, 872, 11141, 2391, 430, 4261, 13, 362, 82339, 42272, 430, 596, 13490, 1202, 11141, 1253, 387, 16066, 505, 264, 6996, 315, 6300, 2512, 627, 11663, 9029, 8886, 18242, 198, 2169, 372, 12690, 527, 2653, 88, 311, 3723, 4273, 6011, 315, 97209, 93828, 7982, 10353, 220, 19, 11, 719, 690, 7831, 304, 76214, 7982, 26467, 1405, 814, 636, 8987, 94477, 2391, 279, 12688, 13, 362, 42272, 5021, 690, 9229, 1202, 11141, 323, 2815, 422, 20472, 527, 2288, 9439, 627, 13246, 682, 14098, 12690, 11, 82339, 42272, 12690, 656, 1888, 422, 814, 636, 2539, 7160, 369, 8223, 4207, 264, 1938, 13, 362, 42272, 5021, 430, 3250, 956, 636, 3403, 7160, 690, 3217, 14071, 287, 11141, 323, 6996, 315, 14545, 18238, 627, 32, 42272, 430, 596, 539, 3794, 3403, 3090, 1198, 2212, 220, 17, 15271, 264, 2046, 1198, 1253, 387, 12153, 311, 1862, 11141, 323, 50823, 7085, 627, 79570, 17462, 323, 76619, 198, 16179, 82339, 42272, 12690, 1541, 956, 1397, 17345, 78216, 17614, 11, 814, 656, 1397, 1063, 26677, 323, 264, 9498, 7982, 6671, 13, 19558, 388, 1288, 2567, 872, 628, 6370, 304, 20784, 11, 4062, 19158, 2101, 17614, 323, 3041, 1124, 36214, 12329, 477, 17808, 57823, 1475, 10683, 13, 1115, 17614, 10824, 690, 1862, 14545, 18238, 323, 16312, 6650, 627, 12, 220, 508, 315, 279, 2523, 85880, 2930, 8544, 3596, 198, 12, 220, 975, 86621, 15812, 1274, 3371, 304, 2930, 5029, 6732, 198, 12, 473, 3653, 1245, 2574, 5195, 15849, 499, 2351, 4560, 311, 2778, 369, 128001, 128000, 32, 17037, 24116, 1296, 311, 1440, 422, 264, 1716, 690, 733, 389, 311, 387, 6992, 374, 422, 814, 1522, 279, 33096, 75480, 1296, 13, 578, 1296, 13524, 5900, 1093, 420, 25, 2231, 264, 33096, 75480, 304, 4156, 315, 264, 1716, 323, 3371, 1124, 814, 649, 8343, 433, 15716, 814, 1390, 11, 719, 11, 422, 814, 3868, 220, 868, 4520, 323, 656, 539, 8343, 279, 33096, 75480, 11, 814, 690, 5371, 264, 2132, 33096, 75480, 311, 8343, 13, 578, 2911, 430, 8343, 279, 33096, 75480, 11, 4619, 315, 8748, 279, 220, 868, 4520, 369, 279, 2132, 33096, 75480, 11, 527, 1243, 12715, 311, 733, 389, 323, 1304, 2753, 8070, 304, 279, 3938, 627, 791, 12496, 323, 33811, 1455, 14134, 1511, 311, 10552, 420, 374, 430, 3938, 2450, 7612, 23540, 8902, 2461, 323, 430, 1694, 3025, 311, 3868, 369, 279, 2132, 33096, 75480, 374, 459, 4216, 28137, 315, 430, 3752, 4367, 323, 279, 3242, 58921, 1716, 889, 50777, 279, 33096, 75480, 7214, 374, 51687, 311, 387, 2753, 6992, 627, 791, 1401, 7419, 1618, 430, 358, 1781, 374, 3062, 311, 1427, 520, 374, 279, 4751, 1054, 32050, 2029, 578, 4007, 27053, 2450, 439, 5190, 8070, 323, 29237, 315, 14740, 13, 1115, 7419, 3727, 6699, 2733, 1695, 922, 872, 2911, 753, 4754, 323, 430, 814, 690, 617, 9408, 1124, 449, 264, 1695, 6140, 311, 656, 1664, 323, 3493, 369, 5694, 13, 1115, 7419, 8415, 388, 311, 279, 1510, 11692, 315, 1455, 11351, 889, 617, 14333, 832, 315, 279, 1193, 3115, 304, 3925, 1405, 1694, 3025, 311, 990, 520, 832, 2883, 369, 701, 4553, 7076, 3196, 389, 1148, 499, 9687, 304, 2978, 323, 12374, 374, 3284, 13, 3011, 7419, 315, 2450, 4375, 1664, 369, 279, 11692, 315, 23978, 889, 22519, 5694, 389, 52121, 14740, 7969, 323, 3987, 369, 19564, 505, 1884, 29947, 4846, 4236, 627, 2520, 5606, 430, 14117, 389, 2574, 19994, 7041, 439, 814, 527, 323, 3515, 264, 24981, 4365, 315, 3995, 1274, 5108, 1555, 872, 14365, 430, 527, 73652, 42100, 10820, 15846, 1139, 11961, 2103, 11, 539, 23132, 810, 11, 323, 69344, 430, 1063, 35058, 374, 2133, 311, 1833, 1555, 389, 872, 11471, 311, 3493, 279, 3938, 36210, 11, 323, 430, 4400, 374, 2133, 311, 2349, 1990, 1457, 323, 1243, 2001, 279, 33096, 75480, 1296, 43496, 872, 50183, 323, 6835, 1124, 279, 3135, 430, 814, 1390, 323, 1205, 311, 6865, 304, 2015, 311, 2567, 872, 13076, 1534, 6873, 6067, 323, 19250, 2045, 8961, 2539, 315, 10249, 5092, 7487, 2539, 627, 12, 3639, 422, 279, 10585, 3287, 1431, 1093, 33096, 30632, 4336, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 907, 1403, 33096, 30632, 4336, 439, 1790, 439, 814, 33647, 3794, 704, 315, 279, 15234, 3130, 449, 2033, 69036, 41585, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 7095, 430, 279, 35058, 889, 3309, 1124, 279, 3568, 323, 1071, 311, 5694, 814, 1051, 2133, 311, 636, 1148, 814, 1436, 323, 3351, 389, 5380, 12, 3639, 422, 279, 10585, 3463, 311, 5678, 430, 420, 374, 264, 5128, 30355, 1887, 323, 539, 832, 5922, 24435, 304, 323, 1120, 6773, 311, 636, 704, 315, 433, 31373, 4856, 1109, 3010, 5380, 12, 3639, 422, 279, 10585, 25720, 430, 568, 2643, 387, 3025, 311, 7380, 279, 2132, 33096, 75480, 10819, 555, 12459, 279, 1176, 11, 10371, 311, 6604, 311, 279, 1732, 304, 6900, 11, 26073, 430, 433, 574, 264, 12571, 315, 5127, 753, 892, 323, 430, 568, 7070, 1120, 1093, 279, 2132, 33096, 75480, 1457, 323, 10437, 15243, 813, 1648, 1139, 433, 5380, 12, 3639, 422, 279, 10585, 6773, 430, 11961, 2212, 8748, 5828, 1431, 3604, 28390, 315, 279, 11565, 323, 6818, 311, 4619, 7380, 433, 1555, 26139, 477, 13633, 477, 1421, 5977, 264, 33894, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 1440, 3508, 568, 15262, 430, 3169, 315, 33096, 75480, 323, 6773, 311, 1456, 279, 1176, 832, 311, 1518, 422, 433, 574, 520, 682, 5922, 8748, 2212, 369, 279, 2132, 832, 627, 12, 3639, 422, 279, 10585, 574, 51687, 311, 3719, 459, 59525, 1732, 1093, 10058, 35352, 36285, 889, 1071, 11, 1054, 791, 13579, 893, 39732, 2641, 5678, 311, 279, 1917, 26, 279, 59525, 832, 67145, 304, 4560, 311, 10737, 279, 1917, 311, 5678, 13, 15636, 682, 5208, 14117, 389, 279, 59525, 893, 49216, 791, 3938, 315, 990, 323, 279, 3938, 7419, 315, 2450, 690, 539, 8935, 279, 6980, 430, 649, 1522, 279, 33096, 75480, 1296, 13, 578, 7168, 2968, 315, 279, 3347, 2478, 11026, 315, 13166, 5270, 374, 927, 13, 33292, 1113, 701, 17510, 1060, 22310, 15038, 690, 387, 264, 1879, 430, 499, 9167, 1431, 28995, 701, 7076, 477, 76035, 311, 5387, 701, 6981, 10353, 13, 3011, 499, 1051, 10032, 311, 3868, 369, 4423, 775, 311, 82577, 499, 28390, 315, 264, 20862, 264, 2478, 1667, 505, 1457, 439, 1317, 439, 499, 89831, 627, 84080, 264, 21624, 3196, 389, 279, 1510, 36580, 10212, 304, 701, 220, 10841, 42, 10361, 2834, 1431, 1935, 1139, 2759, 369, 279, 11191, 29735, 304, 990, 323, 14740, 477, 279, 2144, 430, 701, 2883, 4461, 2834, 1431, 387, 1618, 220, 966, 1667, 505, 1457, 13, 2030, 422, 499, 1390, 311, 16358, 430, 59963, 38594, 889, 753, 264, 8427, 520, 832, 315, 279, 2466, 3116, 24043, 19339, 477, 430, 4846, 14561, 889, 1511, 311, 387, 304, 279, 6411, 323, 3250, 1431, 3619, 3249, 1274, 1541, 1431, 2103, 6013, 311, 813, 7540, 449, 1054, 51290, 11, 10035, 28146, 2029, 2733, 1949, 311, 16190, 279, 1584, 323, 11486, 701, 892, 3156, 499, 2543, 220, 2397, 304, 16388, 315, 279, 11471, 430, 279, 21849, 315, 264, 2132, 33096, 75480, 4131, 837, 13, 128001 ]
[ -100, 67288, 374, 264, 892, 311, 6435, 1523, 11, 264, 892, 369, 28566, 93037, 323, 8369, 40086, 11, 369, 43535, 2162, 23283, 11059, 21644, 11, 323, 264, 892, 311, 14195, 701, 25398, 2130, 2759, 369, 279, 30619, 4967, 3280, 1981, 50, 3864, 912, 832, 3596, 4999, 57489, 527, 539, 16984, 315, 279, 12688, 0, 1472, 1541, 1431, 49679, 346, 389, 279, 1695, 2362, 7474, 32327, 11, 17437, 2571, 1445, 7397, 46227, 279, 9439, 19117, 1431, 11721, 13, 1472, 1541, 1431, 3719, 264, 20985, 311, 701, 30619, 29994, 323, 10894, 1148, 7878, 3805, 304, 701, 45274, 11321, 1093, 13, 2360, 11, 499, 3207, 264, 837, 100235, 323, 994, 12688, 4131, 11, 499, 22118, 8996, 4131, 701, 1648, 11, 70817, 311, 279, 6671, 555, 28799, 398, 7999, 13931, 311, 701, 16530, 13, 1472, 1518, 94950, 304, 279, 12688, 439, 459, 5066, 8815, 323, 499, 3207, 12691, 311, 387, 5496, 14201, 2915, 1060, 21691, 627, 438, 13912, 499, 8369, 323, 9235, 304, 20472, 439, 9439, 439, 482, 605, 135, 248, 34, 0, 1102, 753, 32393, 449, 93090, 369, 430, 43535, 2733, 389, 701, 6930, 627, 128001, -100, 42, 49358, 28187, 753, 3451, 791, 6063, 14123, 2508, 123956, 2127, 24131, 323, 6492, 315, 28187, 753, 990, 1595, 791, 6063, 14123, 2508, 7964, 5423, 304, 12976, 311, 71217, 301, 753, 19675, 627, 2028, 5684, 6835, 459, 24131, 315, 578, 6063, 14123, 2508, 11, 5439, 555, 28187, 323, 3365, 2053, 13, 578, 5684, 35434, 28187, 753, 13010, 311, 71217, 301, 753, 10334, 323, 279, 16665, 369, 813, 3769, 43656, 315, 279, 6300, 3823, 17140, 13, 2684, 374, 264, 4860, 323, 10430, 3857, 520, 279, 842, 315, 279, 5684, 902, 25930, 3585, 311, 4726, 13488, 477, 311, 51077, 10652, 315, 28187, 323, 813, 990, 627, 12331, 87, 323, 3365, 2053, 6267, 578, 6063, 14123, 2508, 304, 220, 10336, 20, 12, 1774, 304, 2077, 311, 279, 71217, 70664, 320, 438, 1093, 34423, 8, 19675, 46941, 304, 279, 43422, 315, 52210, 79701, 11, 7639, 65292, 1215, 11, 35131, 2895, 359, 11, 439, 1664, 439, 279, 20207, 67475, 306, 315, 279, 13566, 11529, 797, 301, 5493, 13, 28187, 6612, 430, 1778, 54180, 389, 10748, 3463, 323, 10973, 9090, 11299, 2949, 279, 22651, 315, 13901, 810, 779, 1109, 264, 14509, 10334, 315, 3925, 13, 5414, 43656, 11, 3451, 58, 72, 60, 77, 2167, 13168, 311, 279, 6063, 19675, 902, 6697, 1438, 505, 23070, 311, 9578, 11, 76412, 12144, 60, 505, 9578, 311, 23070, 11, 42418, 510, 75, 60, 1643, 374, 539, 11075, 555, 25917, 11, 719, 25917, 555, 2324, 320, 12331, 87, 220, 4468, 17, 25, 220, 10559, 12, 9992, 570, 25218, 578, 6063, 14123, 2508, 28187, 97298, 988, 8530, 279, 1455, 16195, 5224, 315, 813, 10334, 315, 3925, 304, 1148, 568, 19813, 311, 439, 279, 3769, 380, 43656, 315, 3925, 26, 3686, 11, 832, 649, 1193, 30357, 4097, 1274, 439, 264, 734, 315, 279, 2317, 304, 902, 814, 3974, 13, 1789, 28187, 11, 5788, 374, 279, 9200, 2317, 315, 3823, 5820, 323, 14209, 2029, 128001, -100, 3968, 90714, 42272, 12690, 527, 18921, 12690, 4856, 1109, 14098, 92253, 12690, 11, 323, 814, 617, 74156, 11, 46536, 80105, 2391, 279, 7474, 13, 2435, 11984, 10437, 4773, 6427, 4251, 477, 18718, 19837, 304, 10683, 11, 719, 1288, 2646, 9229, 872, 11141, 2391, 430, 4261, 13, 362, 82339, 42272, 430, 596, 13490, 1202, 11141, 1253, 387, 16066, 505, 264, 6996, 315, 6300, 2512, 627, 11663, 9029, 8886, 18242, 198, 2169, 372, 12690, 527, 2653, 88, 311, 3723, 4273, 6011, 315, 97209, 93828, 7982, 10353, 220, 19, 11, 719, 690, 7831, 304, 76214, 7982, 26467, 1405, 814, 636, 8987, 94477, 2391, 279, 12688, 13, 362, 42272, 5021, 690, 9229, 1202, 11141, 323, 2815, 422, 20472, 527, 2288, 9439, 627, 13246, 682, 14098, 12690, 11, 82339, 42272, 12690, 656, 1888, 422, 814, 636, 2539, 7160, 369, 8223, 4207, 264, 1938, 13, 362, 42272, 5021, 430, 3250, 956, 636, 3403, 7160, 690, 3217, 14071, 287, 11141, 323, 6996, 315, 14545, 18238, 627, 32, 42272, 430, 596, 539, 3794, 3403, 3090, 1198, 2212, 220, 17, 15271, 264, 2046, 1198, 1253, 387, 12153, 311, 1862, 11141, 323, 50823, 7085, 627, 79570, 17462, 323, 76619, 198, 16179, 82339, 42272, 12690, 1541, 956, 1397, 17345, 78216, 17614, 11, 814, 656, 1397, 1063, 26677, 323, 264, 9498, 7982, 6671, 13, 19558, 388, 1288, 2567, 872, 628, 6370, 304, 20784, 11, 4062, 19158, 2101, 17614, 323, 3041, 1124, 36214, 12329, 477, 17808, 57823, 1475, 10683, 13, 1115, 17614, 10824, 690, 1862, 14545, 18238, 323, 16312, 6650, 627, 12, 220, 508, 315, 279, 2523, 85880, 2930, 8544, 3596, 198, 12, 220, 975, 86621, 15812, 1274, 3371, 304, 2930, 5029, 6732, 198, 12, 473, 3653, 1245, 2574, 5195, 15849, 499, 2351, 4560, 311, 2778, 369, 128001, -100, 32, 17037, 24116, 1296, 311, 1440, 422, 264, 1716, 690, 733, 389, 311, 387, 6992, 374, 422, 814, 1522, 279, 33096, 75480, 1296, 13, 578, 1296, 13524, 5900, 1093, 420, 25, 2231, 264, 33096, 75480, 304, 4156, 315, 264, 1716, 323, 3371, 1124, 814, 649, 8343, 433, 15716, 814, 1390, 11, 719, 11, 422, 814, 3868, 220, 868, 4520, 323, 656, 539, 8343, 279, 33096, 75480, 11, 814, 690, 5371, 264, 2132, 33096, 75480, 311, 8343, 13, 578, 2911, 430, 8343, 279, 33096, 75480, 11, 4619, 315, 8748, 279, 220, 868, 4520, 369, 279, 2132, 33096, 75480, 11, 527, 1243, 12715, 311, 733, 389, 323, 1304, 2753, 8070, 304, 279, 3938, 627, 791, 12496, 323, 33811, 1455, 14134, 1511, 311, 10552, 420, 374, 430, 3938, 2450, 7612, 23540, 8902, 2461, 323, 430, 1694, 3025, 311, 3868, 369, 279, 2132, 33096, 75480, 374, 459, 4216, 28137, 315, 430, 3752, 4367, 323, 279, 3242, 58921, 1716, 889, 50777, 279, 33096, 75480, 7214, 374, 51687, 311, 387, 2753, 6992, 627, 791, 1401, 7419, 1618, 430, 358, 1781, 374, 3062, 311, 1427, 520, 374, 279, 4751, 1054, 32050, 2029, 578, 4007, 27053, 2450, 439, 5190, 8070, 323, 29237, 315, 14740, 13, 1115, 7419, 3727, 6699, 2733, 1695, 922, 872, 2911, 753, 4754, 323, 430, 814, 690, 617, 9408, 1124, 449, 264, 1695, 6140, 311, 656, 1664, 323, 3493, 369, 5694, 13, 1115, 7419, 8415, 388, 311, 279, 1510, 11692, 315, 1455, 11351, 889, 617, 14333, 832, 315, 279, 1193, 3115, 304, 3925, 1405, 1694, 3025, 311, 990, 520, 832, 2883, 369, 701, 4553, 7076, 3196, 389, 1148, 499, 9687, 304, 2978, 323, 12374, 374, 3284, 13, 3011, 7419, 315, 2450, 4375, 1664, 369, 279, 11692, 315, 23978, 889, 22519, 5694, 389, 52121, 14740, 7969, 323, 3987, 369, 19564, 505, 1884, 29947, 4846, 4236, 627, 2520, 5606, 430, 14117, 389, 2574, 19994, 7041, 439, 814, 527, 323, 3515, 264, 24981, 4365, 315, 3995, 1274, 5108, 1555, 872, 14365, 430, 527, 73652, 42100, 10820, 15846, 1139, 11961, 2103, 11, 539, 23132, 810, 11, 323, 69344, 430, 1063, 35058, 374, 2133, 311, 1833, 1555, 389, 872, 11471, 311, 3493, 279, 3938, 36210, 11, 323, 430, 4400, 374, 2133, 311, 2349, 1990, 1457, 323, 1243, 2001, 279, 33096, 75480, 1296, 43496, 872, 50183, 323, 6835, 1124, 279, 3135, 430, 814, 1390, 323, 1205, 311, 6865, 304, 2015, 311, 2567, 872, 13076, 1534, 6873, 6067, 323, 19250, 2045, 8961, 2539, 315, 10249, 5092, 7487, 2539, 627, 12, 3639, 422, 279, 10585, 3287, 1431, 1093, 33096, 30632, 4336, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 907, 1403, 33096, 30632, 4336, 439, 1790, 439, 814, 33647, 3794, 704, 315, 279, 15234, 3130, 449, 2033, 69036, 41585, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 7095, 430, 279, 35058, 889, 3309, 1124, 279, 3568, 323, 1071, 311, 5694, 814, 1051, 2133, 311, 636, 1148, 814, 1436, 323, 3351, 389, 5380, 12, 3639, 422, 279, 10585, 3463, 311, 5678, 430, 420, 374, 264, 5128, 30355, 1887, 323, 539, 832, 5922, 24435, 304, 323, 1120, 6773, 311, 636, 704, 315, 433, 31373, 4856, 1109, 3010, 5380, 12, 3639, 422, 279, 10585, 25720, 430, 568, 2643, 387, 3025, 311, 7380, 279, 2132, 33096, 75480, 10819, 555, 12459, 279, 1176, 11, 10371, 311, 6604, 311, 279, 1732, 304, 6900, 11, 26073, 430, 433, 574, 264, 12571, 315, 5127, 753, 892, 323, 430, 568, 7070, 1120, 1093, 279, 2132, 33096, 75480, 1457, 323, 10437, 15243, 813, 1648, 1139, 433, 5380, 12, 3639, 422, 279, 10585, 6773, 430, 11961, 2212, 8748, 5828, 1431, 3604, 28390, 315, 279, 11565, 323, 6818, 311, 4619, 7380, 433, 1555, 26139, 477, 13633, 477, 1421, 5977, 264, 33894, 5380, 12, 3639, 422, 279, 10585, 3287, 1431, 1440, 3508, 568, 15262, 430, 3169, 315, 33096, 75480, 323, 6773, 311, 1456, 279, 1176, 832, 311, 1518, 422, 433, 574, 520, 682, 5922, 8748, 2212, 369, 279, 2132, 832, 627, 12, 3639, 422, 279, 10585, 574, 51687, 311, 3719, 459, 59525, 1732, 1093, 10058, 35352, 36285, 889, 1071, 11, 1054, 791, 13579, 893, 39732, 2641, 5678, 311, 279, 1917, 26, 279, 59525, 832, 67145, 304, 4560, 311, 10737, 279, 1917, 311, 5678, 13, 15636, 682, 5208, 14117, 389, 279, 59525, 893, 49216, 791, 3938, 315, 990, 323, 279, 3938, 7419, 315, 2450, 690, 539, 8935, 279, 6980, 430, 649, 1522, 279, 33096, 75480, 1296, 13, 578, 7168, 2968, 315, 279, 3347, 2478, 11026, 315, 13166, 5270, 374, 927, 13, 33292, 1113, 701, 17510, 1060, 22310, 15038, 690, 387, 264, 1879, 430, 499, 9167, 1431, 28995, 701, 7076, 477, 76035, 311, 5387, 701, 6981, 10353, 13, 3011, 499, 1051, 10032, 311, 3868, 369, 4423, 775, 311, 82577, 499, 28390, 315, 264, 20862, 264, 2478, 1667, 505, 1457, 439, 1317, 439, 499, 89831, 627, 84080, 264, 21624, 3196, 389, 279, 1510, 36580, 10212, 304, 701, 220, 10841, 42, 10361, 2834, 1431, 1935, 1139, 2759, 369, 279, 11191, 29735, 304, 990, 323, 14740, 477, 279, 2144, 430, 701, 2883, 4461, 2834, 1431, 387, 1618, 220, 966, 1667, 505, 1457, 13, 2030, 422, 499, 1390, 311, 16358, 430, 59963, 38594, 889, 753, 264, 8427, 520, 832, 315, 279, 2466, 3116, 24043, 19339, 477, 430, 4846, 14561, 889, 1511, 311, 387, 304, 279, 6411, 323, 3250, 1431, 3619, 3249, 1274, 1541, 1431, 2103, 6013, 311, 813, 7540, 449, 1054, 51290, 11, 10035, 28146, 2029, 2733, 1949, 311, 16190, 279, 1584, 323, 11486, 701, 892, 3156, 499, 2543, 220, 2397, 304, 16388, 315, 279, 11471, 430, 279, 21849, 315, 264, 2132, 33096, 75480, 4131, 837, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916 ]
[ 128000, 40, 2989, 220, 2366, 16, 25, 362, 95095, 65097, 969, 56978, 3116, 7411, 889, 690, 26456, 369, 31855, 198, 2170, 279, 1957, 11031, 311, 279, 2626, 842, 315, 279, 16520, 11, 279, 7102, 315, 3339, 433, 311, 279, 77355, 31855, 706, 32813, 709, 13, 3161, 682, 279, 7411, 3734, 369, 69547, 2103, 3515, 16388, 315, 3339, 433, 311, 279, 1948, 3116, 11, 279, 15398, 706, 6656, 704, 311, 387, 459, 41765, 832, 13, 14636, 11, 279, 4846, 6890, 1589, 875, 1430, 323, 69836, 362, 95095, 65097, 969, 706, 19698, 279, 3116, 43942, 568, 11321, 690, 1304, 433, 311, 279, 1514, 65039, 627, 10086, 279, 1888, 2816, 304, 1057, 220, 605, 66, 2265, 3477, 198, 1163, 52024, 323, 22767, 617, 1047, 459, 16358, 1629, 304, 279, 77355, 220, 2366, 16, 13, 65097, 969, 16472, 11224, 10211, 42, 323, 11162, 311, 387, 279, 8196, 11709, 13, 1283, 1243, 7396, 279, 9734, 266, 34975, 747, 35054, 432, 13276, 311, 6381, 304, 279, 4948, 2361, 315, 279, 3585, 2007, 13, 65097, 969, 1101, 3779, 430, 433, 1053, 387, 11292, 10937, 1990, 18983, 323, 735, 62984, 369, 279, 11999, 7858, 627, 627, 791, 4330, 7394, 34838, 617, 28214, 264, 64906, 2766, 304, 420, 3280, 13, 578, 2128, 5675, 872, 2926, 2380, 9248, 315, 279, 47949, 2531, 1603, 41577, 264, 3243, 2403, 60417, 24980, 13, 1952, 279, 1023, 1450, 11, 735, 62984, 706, 12882, 872, 44592, 304, 279, 47949, 2531, 323, 706, 30026, 5694, 311, 279, 11999, 2361, 304, 279, 3585, 2007, 13, 56877, 420, 11, 65097, 969, 22126, 735, 62984, 8469, 315, 18983, 311, 1304, 433, 311, 279, 1948, 3116, 627, 627, 8586, 753, 4062, 8641, 369, 43325, 602, 501, 26243, 6732, 13, 128001, 128000, 87722, 13, 1102, 753, 1148, 71374, 603, 13, 4702, 1935, 264, 1427, 520, 701, 3130, 369, 264, 4545, 323, 499, 4805, 5406, 430, 499, 527, 11622, 23712, 555, 5370, 3169, 315, 6392, 627, 2746, 499, 690, 1427, 15499, 3403, 11, 499, 690, 1101, 5406, 430, 1455, 315, 279, 6392, 2212, 701, 3130, 374, 1903, 704, 315, 12466, 477, 47393, 13, 12522, 499, 3596, 31156, 1268, 1521, 6392, 527, 28648, 30, 1226, 4070, 2751, 26127, 66157, 311, 9901, 369, 430, 627, 2181, 374, 1120, 832, 315, 279, 1690, 12823, 1511, 304, 15266, 3956, 1903, 704, 315, 47393, 13, 362, 12466, 14290, 1053, 1176, 6667, 7257, 7384, 323, 26953, 311, 387, 3025, 311, 30847, 6392, 13, 4427, 315, 279, 6392, 430, 1903, 1555, 26127, 66157, 527, 8246, 32596, 11, 54475, 11, 26993, 11, 23939, 11, 1841, 5596, 11, 323, 1524, 7384, 1511, 369, 15173, 627, 12805, 459, 2015, 706, 1027, 1903, 11, 264, 66157, 2883, 690, 10772, 264, 3361, 6651, 315, 46033, 388, 323, 3361, 29561, 3549, 369, 279, 3361, 2027, 13, 578, 47393, 1053, 387, 32813, 3156, 433, 9221, 14812, 304, 29237, 1243, 41772, 1139, 279, 3361, 29561, 1555, 5457, 13, 4740, 279, 14812, 706, 1027, 65410, 11, 433, 690, 2653, 268, 323, 279, 47393, 1053, 387, 95503, 704, 315, 279, 29561, 627, 7184, 430, 584, 1440, 1148, 264, 66157, 2883, 1053, 6118, 30847, 11, 527, 1070, 502, 323, 7155, 6392, 1694, 1903, 704, 315, 26127, 66157, 5380, 791, 2115, 315, 15266, 374, 459, 3596, 42028, 5064, 13, 3861, 315, 279, 74534, 6392, 1694, 28648, 555, 12466, 66157, 374, 279, 832, 3549, 555, 386, 17417, 18654, 386, 15345, 315, 46466, 783, 505, 22108, 13, 2435, 617, 3549, 459, 297, 81937, 292, 46460, 961, 430, 50542, 264, 63969, 220, 15, 13, 931, 6268, 1032, 34419, 1193, 4999, 4438, 574, 420, 1903, 3284, 30, 578, 2883, 1071, 430, 279, 46460, 961, 574, 3549, 449, 279, 1520, 315, 264, 18618, 449, 279, 1404, 315, 220, 15, 13, 4119, 23, 863, 865, 220, 15, 13, 931, 23, 113068, 3923, 1550, 279, 2883, 1005, 304, 6968, 279, 297, 81937, 292, 46460, 961, 5380, 11439, 311, 386, 17417, 11, 814, 1511, 279, 7241, 2663, 13951, 953, 46472, 1606, 433, 374, 33452, 29493, 1109, 99117, 477, 20314, 32643, 98423, 13, 1102, 706, 279, 23099, 315, 28462, 904, 12466, 14290, 311, 1893, 6964, 4519, 430, 574, 2646, 1903, 1603, 13, 63884, 30960, 1071, 430, 433, 6276, 369, 9886, 315, 3956, 449, 4832, 11, 11944, 11, 323, 24359, 11, 27529, 11, 323, 13116, 439, 11113, 439, 41585, 627, 3923, 574, 279, 297, 81937, 292, 46460, 961, 1511, 369, 5380, 2181, 574, 28648, 2391, 220, 679, 15, 311, 220, 679, 17, 311, 4322, 459, 83957, 6130, 449, 2840, 2933, 82945, 627, 3923, 1023, 6392, 922, 8162, 1474, 15345, 1288, 584, 1440, 922, 5380, 1271, 1304, 19179, 304, 8162, 1474, 15345, 11, 18654, 296, 2061, 80625, 820, 315, 1556, 2779, 88, 505, 21357, 11224, 430, 264, 3738, 961, 902, 374, 922, 459, 17560, 304, 1404, 649, 617, 5370, 8162, 28935, 17910, 11, 1093, 264, 662, 8759, 863, 30565, 16, 3906, 8, 30453, 7147, 13651, 11, 264, 662, 11436, 863, 30565, 508, 3906, 8, 23899, 13225, 477, 14512, 11, 323, 264, 4459, 2763, 810, 13, 578, 66157, 2883, 80625, 820, 1101, 70901, 1202, 1866, 12933, 369, 8162, 26127, 66157, 627, 3915, 279, 3997, 315, 1856, 39171, 17005, 11, 4448, 473, 13, 5124, 332, 10555, 304, 264, 5117, 1772, 430, 10057, 1176, 1511, 51593, 66157, 5557, 902, 374, 1457, 7701, 8518, 1534, 13, 1115, 5557, 374, 1511, 304, 3339, 51593, 17910, 389, 27529, 627, 81586, 11, 279, 12466, 14290, 80625, 820, 1101, 11224, 430, 279, 8162, 1474, 15345, 86671, 85, 25105, 2508, 1288, 387, 1511, 311, 8356, 11191, 15055, 315, 5596, 449, 54711, 16437, 13, 128001, 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 8187, 11028, 315, 17764, 35534, 323, 2631, 17658, 198, 5223, 62, 15, 25, 578, 27437, 1288, 14158, 8187, 7396, 11028, 315, 17764, 35534, 881, 791, 3896, 369, 279, 17764, 35534, 1213, 7612, 430, 3932, 617, 279, 50197, 34495, 9183, 311, 387, 3118, 11, 602, 1770, 13, 3932, 2011, 617, 2736, 2884, 881, 74694, 319, 85, 64587, 9183, 4685, 17764, 35534, 12, 316, 77, 34495, 319, 74694, 27, 11407, 45797, 29, 128001, 128000, 50, 31803, 198, 288, 25, 578, 426, 18746, 315, 16759, 198, 73490, 2696, 25, 6664, 220, 679, 20, 198, 35650, 25, 29103, 3852, 4783, 72714, 198, 47572, 14882, 505, 9558, 53619, 3258, 916, 323, 29103, 3852, 4783, 72714, 198, 2118, 6161, 63600, 3278, 527, 1455, 17395, 11, 304, 1162, 499, 3287, 1431, 1440, 13, 3092, 51166, 14603, 5038, 2795, 430, 584, 527, 2728, 311, 18809, 315, 6940, 323, 63488, 2288, 12387, 311, 1160, 13, 3005, 1071, 433, 374, 439, 422, 4359, 1903, 1057, 7013, 2579, 439, 264, 10163, 311, 3885, 430, 95046, 574, 264, 5447, 2029, 482, 5953, 462, 12930, 198, 32, 490, 8977, 5224, 1436, 539, 387, 22066, 9002, 279, 17104, 323, 18434, 19995, 2579, 63600, 3765, 462, 12930, 74928, 13, 763, 420, 4948, 323, 1620, 2363, 505, 279, 426, 18746, 315, 16759, 4101, 11, 3765, 462, 12930, 3131, 1578, 374, 709, 311, 1077, 13783, 32078, 323, 64496, 2690, 13, 578, 1060, 374, 220, 9367, 24, 323, 279, 6742, 374, 77979, 449, 279, 23628, 315, 279, 16759, 32437, 278, 6150, 323, 872, 10405, 13, 763, 10919, 18374, 70529, 11, 3765, 462, 12930, 323, 43982, 52082, 4858, 3719, 17045, 1306, 1790, 13836, 15389, 389, 3765, 462, 12930, 753, 961, 13, 3005, 98663, 16180, 43982, 323, 706, 369, 264, 1633, 1317, 892, 13, 1283, 706, 1027, 1077, 1888, 4333, 2533, 814, 1051, 61095, 627, 2170, 449, 682, 2574, 3765, 462, 12930, 1587, 11, 2324, 374, 2646, 4382, 13, 1666, 279, 3363, 1421, 9146, 505, 279, 17936, 4027, 11, 3765, 462, 12930, 323, 43982, 2011, 23075, 264, 8205, 315, 32116, 430, 527, 2231, 304, 872, 1853, 3235, 279, 1648, 311, 264, 59045, 1285, 37875, 3596, 1306, 13, 578, 40148, 11, 28885, 309, 26056, 1729, 11, 4780, 1578, 323, 5616, 5039, 813, 837, 8146, 11, 7999, 42786, 311, 279, 3446, 13, 1556, 68188, 11, 18526, 1373, 51798, 839, 449, 10082, 323, 28485, 4999, 2028, 71444, 3048, 574, 4036, 505, 29103, 3852, 4783, 72714, 323, 9558, 16876, 3258, 916, 304, 9473, 369, 459, 10978, 3477, 13, 578, 3485, 11555, 323, 18463, 527, 42241, 856, 1866, 627, 431, 128001, 128000, 78706, 1392, 22109, 311, 656, 3403, 311, 3449, 10182, 11811, 482, 3723, 19687, 198, 32, 502, 1934, 505, 279, 3723, 19687, 320, 1899, 37, 3791, 8, 2795, 430, 8051, 17047, 2212, 279, 1917, 18447, 311, 279, 42356, 1903, 304, 279, 12366, 23314, 1070, 374, 539, 3403, 1694, 2884, 311, 6493, 389, 279, 42356, 323, 1070, 374, 264, 19019, 98867, 3321, 304, 902, 311, 656, 779, 627, 791, 1934, 2795, 430, 2533, 1202, 25375, 11, 279, 12366, 23314, 706, 16625, 3221, 20486, 35052, 10182, 1957, 555, 6376, 9021, 323, 11889, 17738, 311, 279, 1917, 9002, 279, 54917, 315, 30438, 311, 279, 10182, 11501, 627, 38, 1718, 750, 11, 37647, 6962, 20748, 527, 2103, 16448, 323, 1070, 374, 264, 13225, 315, 220, 508, 311, 220, 1419, 23401, 24444, 4978, 315, 7432, 17, 1990, 279, 15455, 4460, 555, 220, 9639, 15, 311, 4017, 3728, 20472, 311, 220, 16, 13, 20, 34, 323, 279, 1917, 753, 1510, 20748, 35782, 627, 791, 1934, 2795, 25, 1054, 3947, 527, 1457, 14343, 2853, 53421, 10708, 311, 2686, 279, 220, 9639, 15, 20748, 13225, 11, 3686, 5199, 11774, 11, 2737, 2680, 311, 323, 18539, 315, 1862, 11, 7293, 304, 33508, 287, 1521, 10708, 520, 279, 2631, 18338, 323, 5569, 49216, 53664, 220, 1114, 364, 798, 14955, 6, 279, 6781, 2795, 6574, 279, 9021, 690, 1397, 1054, 764, 4522, 704, 682, 96718, 660, 31376, 40373, 113068, 34710, 267, 279, 1401, 14955, 11, 279, 6781, 1934, 2795, 512, 12, 8121, 20748, 527, 539, 304, 1584, 449, 1646, 839, 3728, 66860, 44014, 13263, 449, 279, 9499, 5915, 315, 279, 12366, 23314, 11, 323, 1070, 374, 264, 19019, 98867, 3321, 311, 4933, 45715, 323, 4305, 6484, 42356, 304, 2015, 311, 4017, 24808, 311, 220, 16, 13, 20, 37386, 34, 3485, 864, 18251, 47479, 5990, 627, 12, 24191, 810, 45715, 304, 1957, 323, 1862, 374, 4460, 304, 25976, 13018, 66860, 11193, 323, 6376, 810, 32855, 11811, 627, 12, 42224, 4504, 4272, 7315, 7432, 17, 323, 48584, 38, 20748, 7612, 6067, 54070, 4028, 682, 26593, 323, 38697, 11, 2737, 28041, 709, 33268, 4907, 1418, 1343, 4522, 704, 682, 96718, 660, 31376, 40373, 11, 13696, 711, 97893, 11, 18189, 2536, 7813, 46, 17, 20748, 323, 25976, 2225, 8312, 12, 323, 7631, 25034, 11193, 627, 12, 15264, 54070, 1825, 709, 1690, 10708, 11, 719, 11295, 2349, 649, 387, 62642, 13, 362, 5357, 389, 28286, 323, 25452, 649, 5376, 45715, 304, 10182, 1957, 323, 1862, 627, 12, 1666, 10182, 2349, 48926, 682, 5961, 11, 10977, 323, 1274, 2212, 279, 1917, 11, 7319, 34185, 1957, 439, 1664, 439, 24872, 9045, 311, 264, 1653, 11, 30437, 323, 2686, 4814, 323, 5674, 527, 77720, 4460, 311, 8108, 323, 6013, 311, 7859, 25949, 11, 8104, 369, 1884, 889, 527, 3325, 10235, 369, 2349, 323, 3325, 3025, 311, 11993, 505, 51751, 627, 791, 220, 2618, 15463, 1934, 1587, 539, 11, 4869, 11, 743, 704, 304, 7872, 902, 5961, 527, 16054, 4920, 11, 6463, 1587, 433, 6782, 3230, 19075, 15910, 520, 4040, 5961, 477, 13918, 627, 38, 57365, 3816, 12669, 16222, 287, 11, 2010, 315, 6625, 18629, 520, 279, 12634, 323, 31636, 22107, 8113, 1781, 86271, 11, 1071, 25, 1054, 791, 1455, 3062, 961, 315, 279, 1934, 374, 1401, 9455, 220, 21, 1389, 15507, 430, 24944, 389, 12366, 3445, 28041, 709, 89085, 11, 1343, 4522, 704, 31376, 40373, 11, 13696, 711, 97893, 11, 57911, 61083, 1389, 18475, 278, 4442, 4460, 311, 636, 311, 4272, 7315, 323, 636, 389, 3839, 369, 220, 16, 13, 20, 34, 13, 9393, 430, 753, 6376, 279, 18909, 369, 68672, 13, 578, 20954, 311, 2586, 3010, 420, 2305, 11, 1578, 1828, 2305, 11, 323, 1243, 304, 35138, 520, 68672, 5196, 1389, 279, 2077, 311, 420, 5708, 23609, 13, 3011, 753, 1148, 3966, 311, 387, 279, 1847, 73931, 311, 6541, 709, 264, 2478, 54260, 49216, 1945, 25, 54197, 11517, 2009, 33, 412, 484, 1291, 11, 1252, 49732, 198, 27, 6984, 311, 3754, 1160, 128001 ]
[ -100, 40, 2989, 220, 2366, 16, 25, 362, 95095, 65097, 969, 56978, 3116, 7411, 889, 690, 26456, 369, 31855, 198, 2170, 279, 1957, 11031, 311, 279, 2626, 842, 315, 279, 16520, 11, 279, 7102, 315, 3339, 433, 311, 279, 77355, 31855, 706, 32813, 709, 13, 3161, 682, 279, 7411, 3734, 369, 69547, 2103, 3515, 16388, 315, 3339, 433, 311, 279, 1948, 3116, 11, 279, 15398, 706, 6656, 704, 311, 387, 459, 41765, 832, 13, 14636, 11, 279, 4846, 6890, 1589, 875, 1430, 323, 69836, 362, 95095, 65097, 969, 706, 19698, 279, 3116, 43942, 568, 11321, 690, 1304, 433, 311, 279, 1514, 65039, 627, 10086, 279, 1888, 2816, 304, 1057, 220, 605, 66, 2265, 3477, 198, 1163, 52024, 323, 22767, 617, 1047, 459, 16358, 1629, 304, 279, 77355, 220, 2366, 16, 13, 65097, 969, 16472, 11224, 10211, 42, 323, 11162, 311, 387, 279, 8196, 11709, 13, 1283, 1243, 7396, 279, 9734, 266, 34975, 747, 35054, 432, 13276, 311, 6381, 304, 279, 4948, 2361, 315, 279, 3585, 2007, 13, 65097, 969, 1101, 3779, 430, 433, 1053, 387, 11292, 10937, 1990, 18983, 323, 735, 62984, 369, 279, 11999, 7858, 627, 627, 791, 4330, 7394, 34838, 617, 28214, 264, 64906, 2766, 304, 420, 3280, 13, 578, 2128, 5675, 872, 2926, 2380, 9248, 315, 279, 47949, 2531, 1603, 41577, 264, 3243, 2403, 60417, 24980, 13, 1952, 279, 1023, 1450, 11, 735, 62984, 706, 12882, 872, 44592, 304, 279, 47949, 2531, 323, 706, 30026, 5694, 311, 279, 11999, 2361, 304, 279, 3585, 2007, 13, 56877, 420, 11, 65097, 969, 22126, 735, 62984, 8469, 315, 18983, 311, 1304, 433, 311, 279, 1948, 3116, 627, 627, 8586, 753, 4062, 8641, 369, 43325, 602, 501, 26243, 6732, 13, 128001, -100, 87722, 13, 1102, 753, 1148, 71374, 603, 13, 4702, 1935, 264, 1427, 520, 701, 3130, 369, 264, 4545, 323, 499, 4805, 5406, 430, 499, 527, 11622, 23712, 555, 5370, 3169, 315, 6392, 627, 2746, 499, 690, 1427, 15499, 3403, 11, 499, 690, 1101, 5406, 430, 1455, 315, 279, 6392, 2212, 701, 3130, 374, 1903, 704, 315, 12466, 477, 47393, 13, 12522, 499, 3596, 31156, 1268, 1521, 6392, 527, 28648, 30, 1226, 4070, 2751, 26127, 66157, 311, 9901, 369, 430, 627, 2181, 374, 1120, 832, 315, 279, 1690, 12823, 1511, 304, 15266, 3956, 1903, 704, 315, 47393, 13, 362, 12466, 14290, 1053, 1176, 6667, 7257, 7384, 323, 26953, 311, 387, 3025, 311, 30847, 6392, 13, 4427, 315, 279, 6392, 430, 1903, 1555, 26127, 66157, 527, 8246, 32596, 11, 54475, 11, 26993, 11, 23939, 11, 1841, 5596, 11, 323, 1524, 7384, 1511, 369, 15173, 627, 12805, 459, 2015, 706, 1027, 1903, 11, 264, 66157, 2883, 690, 10772, 264, 3361, 6651, 315, 46033, 388, 323, 3361, 29561, 3549, 369, 279, 3361, 2027, 13, 578, 47393, 1053, 387, 32813, 3156, 433, 9221, 14812, 304, 29237, 1243, 41772, 1139, 279, 3361, 29561, 1555, 5457, 13, 4740, 279, 14812, 706, 1027, 65410, 11, 433, 690, 2653, 268, 323, 279, 47393, 1053, 387, 95503, 704, 315, 279, 29561, 627, 7184, 430, 584, 1440, 1148, 264, 66157, 2883, 1053, 6118, 30847, 11, 527, 1070, 502, 323, 7155, 6392, 1694, 1903, 704, 315, 26127, 66157, 5380, 791, 2115, 315, 15266, 374, 459, 3596, 42028, 5064, 13, 3861, 315, 279, 74534, 6392, 1694, 28648, 555, 12466, 66157, 374, 279, 832, 3549, 555, 386, 17417, 18654, 386, 15345, 315, 46466, 783, 505, 22108, 13, 2435, 617, 3549, 459, 297, 81937, 292, 46460, 961, 430, 50542, 264, 63969, 220, 15, 13, 931, 6268, 1032, 34419, 1193, 4999, 4438, 574, 420, 1903, 3284, 30, 578, 2883, 1071, 430, 279, 46460, 961, 574, 3549, 449, 279, 1520, 315, 264, 18618, 449, 279, 1404, 315, 220, 15, 13, 4119, 23, 863, 865, 220, 15, 13, 931, 23, 113068, 3923, 1550, 279, 2883, 1005, 304, 6968, 279, 297, 81937, 292, 46460, 961, 5380, 11439, 311, 386, 17417, 11, 814, 1511, 279, 7241, 2663, 13951, 953, 46472, 1606, 433, 374, 33452, 29493, 1109, 99117, 477, 20314, 32643, 98423, 13, 1102, 706, 279, 23099, 315, 28462, 904, 12466, 14290, 311, 1893, 6964, 4519, 430, 574, 2646, 1903, 1603, 13, 63884, 30960, 1071, 430, 433, 6276, 369, 9886, 315, 3956, 449, 4832, 11, 11944, 11, 323, 24359, 11, 27529, 11, 323, 13116, 439, 11113, 439, 41585, 627, 3923, 574, 279, 297, 81937, 292, 46460, 961, 1511, 369, 5380, 2181, 574, 28648, 2391, 220, 679, 15, 311, 220, 679, 17, 311, 4322, 459, 83957, 6130, 449, 2840, 2933, 82945, 627, 3923, 1023, 6392, 922, 8162, 1474, 15345, 1288, 584, 1440, 922, 5380, 1271, 1304, 19179, 304, 8162, 1474, 15345, 11, 18654, 296, 2061, 80625, 820, 315, 1556, 2779, 88, 505, 21357, 11224, 430, 264, 3738, 961, 902, 374, 922, 459, 17560, 304, 1404, 649, 617, 5370, 8162, 28935, 17910, 11, 1093, 264, 662, 8759, 863, 30565, 16, 3906, 8, 30453, 7147, 13651, 11, 264, 662, 11436, 863, 30565, 508, 3906, 8, 23899, 13225, 477, 14512, 11, 323, 264, 4459, 2763, 810, 13, 578, 66157, 2883, 80625, 820, 1101, 70901, 1202, 1866, 12933, 369, 8162, 26127, 66157, 627, 3915, 279, 3997, 315, 1856, 39171, 17005, 11, 4448, 473, 13, 5124, 332, 10555, 304, 264, 5117, 1772, 430, 10057, 1176, 1511, 51593, 66157, 5557, 902, 374, 1457, 7701, 8518, 1534, 13, 1115, 5557, 374, 1511, 304, 3339, 51593, 17910, 389, 27529, 627, 81586, 11, 279, 12466, 14290, 80625, 820, 1101, 11224, 430, 279, 8162, 1474, 15345, 86671, 85, 25105, 2508, 1288, 387, 1511, 311, 8356, 11191, 15055, 315, 5596, 449, 54711, 16437, 13, 128001, -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 8187, 11028, 315, 17764, 35534, 323, 2631, 17658, 198, 5223, 62, 15, 25, 578, 27437, 1288, 14158, 8187, 7396, 11028, 315, 17764, 35534, 881, 791, 3896, 369, 279, 17764, 35534, 1213, 7612, 430, 3932, 617, 279, 50197, 34495, 9183, 311, 387, 3118, 11, 602, 1770, 13, 3932, 2011, 617, 2736, 2884, 881, 74694, 319, 85, 64587, 9183, 4685, 17764, 35534, 12, 316, 77, 34495, 319, 74694, 27, 11407, 45797, 29, 128001, -100, 50, 31803, 198, 288, 25, 578, 426, 18746, 315, 16759, 198, 73490, 2696, 25, 6664, 220, 679, 20, 198, 35650, 25, 29103, 3852, 4783, 72714, 198, 47572, 14882, 505, 9558, 53619, 3258, 916, 323, 29103, 3852, 4783, 72714, 198, 2118, 6161, 63600, 3278, 527, 1455, 17395, 11, 304, 1162, 499, 3287, 1431, 1440, 13, 3092, 51166, 14603, 5038, 2795, 430, 584, 527, 2728, 311, 18809, 315, 6940, 323, 63488, 2288, 12387, 311, 1160, 13, 3005, 1071, 433, 374, 439, 422, 4359, 1903, 1057, 7013, 2579, 439, 264, 10163, 311, 3885, 430, 95046, 574, 264, 5447, 2029, 482, 5953, 462, 12930, 198, 32, 490, 8977, 5224, 1436, 539, 387, 22066, 9002, 279, 17104, 323, 18434, 19995, 2579, 63600, 3765, 462, 12930, 74928, 13, 763, 420, 4948, 323, 1620, 2363, 505, 279, 426, 18746, 315, 16759, 4101, 11, 3765, 462, 12930, 3131, 1578, 374, 709, 311, 1077, 13783, 32078, 323, 64496, 2690, 13, 578, 1060, 374, 220, 9367, 24, 323, 279, 6742, 374, 77979, 449, 279, 23628, 315, 279, 16759, 32437, 278, 6150, 323, 872, 10405, 13, 763, 10919, 18374, 70529, 11, 3765, 462, 12930, 323, 43982, 52082, 4858, 3719, 17045, 1306, 1790, 13836, 15389, 389, 3765, 462, 12930, 753, 961, 13, 3005, 98663, 16180, 43982, 323, 706, 369, 264, 1633, 1317, 892, 13, 1283, 706, 1027, 1077, 1888, 4333, 2533, 814, 1051, 61095, 627, 2170, 449, 682, 2574, 3765, 462, 12930, 1587, 11, 2324, 374, 2646, 4382, 13, 1666, 279, 3363, 1421, 9146, 505, 279, 17936, 4027, 11, 3765, 462, 12930, 323, 43982, 2011, 23075, 264, 8205, 315, 32116, 430, 527, 2231, 304, 872, 1853, 3235, 279, 1648, 311, 264, 59045, 1285, 37875, 3596, 1306, 13, 578, 40148, 11, 28885, 309, 26056, 1729, 11, 4780, 1578, 323, 5616, 5039, 813, 837, 8146, 11, 7999, 42786, 311, 279, 3446, 13, 1556, 68188, 11, 18526, 1373, 51798, 839, 449, 10082, 323, 28485, 4999, 2028, 71444, 3048, 574, 4036, 505, 29103, 3852, 4783, 72714, 323, 9558, 16876, 3258, 916, 304, 9473, 369, 459, 10978, 3477, 13, 578, 3485, 11555, 323, 18463, 527, 42241, 856, 1866, 627, 431, 128001, -100, 78706, 1392, 22109, 311, 656, 3403, 311, 3449, 10182, 11811, 482, 3723, 19687, 198, 32, 502, 1934, 505, 279, 3723, 19687, 320, 1899, 37, 3791, 8, 2795, 430, 8051, 17047, 2212, 279, 1917, 18447, 311, 279, 42356, 1903, 304, 279, 12366, 23314, 1070, 374, 539, 3403, 1694, 2884, 311, 6493, 389, 279, 42356, 323, 1070, 374, 264, 19019, 98867, 3321, 304, 902, 311, 656, 779, 627, 791, 1934, 2795, 430, 2533, 1202, 25375, 11, 279, 12366, 23314, 706, 16625, 3221, 20486, 35052, 10182, 1957, 555, 6376, 9021, 323, 11889, 17738, 311, 279, 1917, 9002, 279, 54917, 315, 30438, 311, 279, 10182, 11501, 627, 38, 1718, 750, 11, 37647, 6962, 20748, 527, 2103, 16448, 323, 1070, 374, 264, 13225, 315, 220, 508, 311, 220, 1419, 23401, 24444, 4978, 315, 7432, 17, 1990, 279, 15455, 4460, 555, 220, 9639, 15, 311, 4017, 3728, 20472, 311, 220, 16, 13, 20, 34, 323, 279, 1917, 753, 1510, 20748, 35782, 627, 791, 1934, 2795, 25, 1054, 3947, 527, 1457, 14343, 2853, 53421, 10708, 311, 2686, 279, 220, 9639, 15, 20748, 13225, 11, 3686, 5199, 11774, 11, 2737, 2680, 311, 323, 18539, 315, 1862, 11, 7293, 304, 33508, 287, 1521, 10708, 520, 279, 2631, 18338, 323, 5569, 49216, 53664, 220, 1114, 364, 798, 14955, 6, 279, 6781, 2795, 6574, 279, 9021, 690, 1397, 1054, 764, 4522, 704, 682, 96718, 660, 31376, 40373, 113068, 34710, 267, 279, 1401, 14955, 11, 279, 6781, 1934, 2795, 512, 12, 8121, 20748, 527, 539, 304, 1584, 449, 1646, 839, 3728, 66860, 44014, 13263, 449, 279, 9499, 5915, 315, 279, 12366, 23314, 11, 323, 1070, 374, 264, 19019, 98867, 3321, 311, 4933, 45715, 323, 4305, 6484, 42356, 304, 2015, 311, 4017, 24808, 311, 220, 16, 13, 20, 37386, 34, 3485, 864, 18251, 47479, 5990, 627, 12, 24191, 810, 45715, 304, 1957, 323, 1862, 374, 4460, 304, 25976, 13018, 66860, 11193, 323, 6376, 810, 32855, 11811, 627, 12, 42224, 4504, 4272, 7315, 7432, 17, 323, 48584, 38, 20748, 7612, 6067, 54070, 4028, 682, 26593, 323, 38697, 11, 2737, 28041, 709, 33268, 4907, 1418, 1343, 4522, 704, 682, 96718, 660, 31376, 40373, 11, 13696, 711, 97893, 11, 18189, 2536, 7813, 46, 17, 20748, 323, 25976, 2225, 8312, 12, 323, 7631, 25034, 11193, 627, 12, 15264, 54070, 1825, 709, 1690, 10708, 11, 719, 11295, 2349, 649, 387, 62642, 13, 362, 5357, 389, 28286, 323, 25452, 649, 5376, 45715, 304, 10182, 1957, 323, 1862, 627, 12, 1666, 10182, 2349, 48926, 682, 5961, 11, 10977, 323, 1274, 2212, 279, 1917, 11, 7319, 34185, 1957, 439, 1664, 439, 24872, 9045, 311, 264, 1653, 11, 30437, 323, 2686, 4814, 323, 5674, 527, 77720, 4460, 311, 8108, 323, 6013, 311, 7859, 25949, 11, 8104, 369, 1884, 889, 527, 3325, 10235, 369, 2349, 323, 3325, 3025, 311, 11993, 505, 51751, 627, 791, 220, 2618, 15463, 1934, 1587, 539, 11, 4869, 11, 743, 704, 304, 7872, 902, 5961, 527, 16054, 4920, 11, 6463, 1587, 433, 6782, 3230, 19075, 15910, 520, 4040, 5961, 477, 13918, 627, 38, 57365, 3816, 12669, 16222, 287, 11, 2010, 315, 6625, 18629, 520, 279, 12634, 323, 31636, 22107, 8113, 1781, 86271, 11, 1071, 25, 1054, 791, 1455, 3062, 961, 315, 279, 1934, 374, 1401, 9455, 220, 21, 1389, 15507, 430, 24944, 389, 12366, 3445, 28041, 709, 89085, 11, 1343, 4522, 704, 31376, 40373, 11, 13696, 711, 97893, 11, 57911, 61083, 1389, 18475, 278, 4442, 4460, 311, 636, 311, 4272, 7315, 323, 636, 389, 3839, 369, 220, 16, 13, 20, 34, 13, 9393, 430, 753, 6376, 279, 18909, 369, 68672, 13, 578, 20954, 311, 2586, 3010, 420, 2305, 11, 1578, 1828, 2305, 11, 323, 1243, 304, 35138, 520, 68672, 5196, 1389, 279, 2077, 311, 420, 5708, 23609, 13, 3011, 753, 1148, 3966, 311, 387, 279, 1847, 73931, 311, 6541, 709, 264, 2478, 54260, 49216, 1945, 25, 54197, 11517, 2009, 33, 412, 484, 1291, 11, 1252, 49732, 198, 27, 6984, 311, 3754, 1160, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644 ]
[ 128000, 13359, 499, 369, 701, 2077, 13, 1628, 430, 596, 7041, 3249, 358, 4934, 311, 6865, 701, 11302, 13, 578, 1566, 3245, 358, 1390, 311, 656, 374, 36747, 553, 4423, 596, 28970, 13, 1102, 596, 539, 1093, 499, 4934, 311, 743, 264, 5915, 369, 6261, 311, 26438, 87578, 323, 6575, 2653, 311, 23075, 32116, 323, 17427, 2450, 13, 1472, 3287, 956, 2610, 369, 433, 11, 779, 433, 3250, 956, 2873, 1093, 82644, 527, 8475, 13, 19124, 40, 15763, 11011, 701, 3185, 323, 358, 3358, 1456, 311, 1005, 701, 11302, 304, 279, 3938, 13, 19418, 499, 2019, 358, 1288, 5357, 389, 9204, 48451, 323, 10371, 1825, 9670, 4860, 30, 10926, 358, 2846, 18290, 2288, 1790, 922, 3515, 264, 2077, 520, 682, 13, 128001, 128000, 3947, 527, 3892, 2204, 9404, 315, 18112, 430, 649, 387, 21771, 439, 13041, 288, 593, 31012, 13, 578, 13041, 288, 593, 43563, 1742, 374, 459, 43563, 2955, 315, 42108, 4606, 32971, 555, 52524, 11, 7170, 18768, 1824, 22190, 5438, 288, 13, 2684, 4536, 1431, 1790, 9306, 369, 279, 6371, 315, 420, 1742, 11, 449, 17989, 24950, 505, 279, 220, 20, 339, 311, 279, 220, 22, 339, 9478, 11, 279, 15629, 2457, 1694, 279, 810, 13882, 5762, 13, 3639, 584, 656, 1440, 374, 430, 505, 420, 1486, 389, 11, 1070, 753, 1027, 2697, 775, 430, 53291, 279, 1742, 627, 10445, 374, 1070, 779, 1790, 10430, 922, 433, 30, 2684, 527, 1690, 3284, 11503, 13, 3861, 374, 279, 4325, 6418, 11249, 439, 311, 889, 3549, 279, 1176, 13041, 288, 593, 8993, 13, 15148, 433, 832, 315, 279, 1690, 66723, 34537, 311, 32186, 477, 574, 433, 1063, 11203, 9164, 30, 3161, 279, 18841, 315, 279, 71624, 19354, 389, 279, 14620, 315, 279, 31396, 315, 29959, 304, 9822, 11, 1070, 1253, 387, 3779, 1862, 311, 3060, 10334, 627, 10596, 1628, 7127, 198, 2746, 433, 574, 832, 315, 279, 66723, 11, 433, 1053, 1304, 5647, 430, 279, 13041, 288, 593, 8993, 1053, 617, 1047, 264, 1633, 2204, 1427, 323, 2955, 1109, 1023, 14373, 31012, 13, 763, 5369, 11, 279, 31179, 884, 1302, 315, 22463, 1051, 5918, 2391, 279, 892, 315, 279, 13041, 5545, 13, 1115, 374, 2555, 430, 11621, 311, 279, 22047, 315, 1405, 279, 1742, 3782, 505, 13, 15148, 433, 279, 1121, 315, 264, 14747, 477, 574, 1070, 459, 9678, 8993, 1603, 433, 574, 16489, 5380, 791, 13041, 288, 593, 1742, 1101, 706, 1202, 20282, 304, 44201, 18112, 13, 578, 15485, 315, 279, 8993, 574, 11383, 4827, 1109, 430, 315, 1023, 44201, 14016, 13, 578, 993, 3946, 1047, 8254, 11314, 11, 20426, 279, 2800, 315, 44201, 902, 1047, 1193, 4330, 13, 362, 13041, 288, 593, 4857, 1053, 1101, 617, 14618, 5438, 288, 477, 37033, 4619, 315, 27030, 13, 1102, 1053, 387, 4228, 311, 9855, 430, 279, 13041, 288, 593, 993, 3946, 1051, 14948, 555, 1521, 14726, 627, 3915, 279, 13041, 288, 593, 4261, 389, 11, 279, 13041, 288, 593, 6244, 264, 1742, 682, 1202, 1866, 13, 3296, 279, 270, 404, 46487, 9478, 11, 279, 13041, 288, 593, 1047, 2586, 264, 1317, 1648, 13, 2684, 527, 1690, 6617, 10507, 315, 13041, 288, 593, 18112, 304, 4606, 3432, 1778, 439, 279, 51108, 68, 951, 2893, 12249, 6830, 78824, 304, 12366, 11, 279, 37211, 2020, 37997, 304, 15704, 11, 323, 279, 13041, 288, 593, 94641, 315, 41109, 60285, 11, 9822, 13, 4314, 14016, 7293, 11509, 323, 527, 64747, 2212, 279, 1917, 627, 791, 1742, 1766, 304, 279, 13041, 288, 593, 374, 32971, 555, 5540, 1766, 18403, 304, 44201, 18112, 13, 1789, 3187, 11, 279, 4883, 15485, 11, 902, 374, 4279, 304, 44201, 18112, 11, 374, 3629, 1766, 304, 13041, 288, 593, 31012, 13, 1102, 1053, 539, 387, 15206, 311, 1505, 1778, 264, 29683, 304, 12877, 18516, 14016, 439, 1664, 13, 1115, 4883, 15485, 574, 13517, 264, 13041, 288, 593, 28229, 627, 791, 13041, 288, 593, 706, 46664, 5540, 315, 1023, 9404, 439, 1664, 13, 1789, 3187, 11, 422, 499, 1427, 520, 279, 35684, 291, 56814, 1766, 304, 1690, 44201, 31012, 499, 690, 1505, 264, 13041, 288, 593, 10383, 13, 3861, 13041, 288, 593, 18027, 430, 374, 4279, 6957, 1455, 315, 1521, 31012, 374, 279, 1005, 315, 16615, 64982, 13, 763, 13041, 288, 593, 18112, 11, 1778, 16615, 4519, 527, 1766, 10213, 304, 10632, 4856, 1109, 304, 586, 14016, 627, 644, 6617, 3115, 279, 13041, 288, 593, 706, 54434, 3201, 14738, 13, 362, 2478, 56035, 649, 33137, 433, 505, 44201, 323, 1023, 9404, 719, 369, 1455, 315, 603, 11, 279, 13041, 288, 593, 8625, 264, 2766, 315, 459, 665, 11750, 13, 1102, 374, 3118, 304, 5596, 315, 15704, 719, 374, 9024, 311, 1505, 304, 1023, 5961, 13, 11699, 9546, 649, 4869, 387, 1766, 304, 1063, 6617, 2162, 4857, 7224, 304, 7634, 1093, 48606, 11, 15704, 11, 323, 7295, 11, 9635, 627, 24205, 763, 578, 5560, 198, 644, 1057, 1938, 323, 4325, 11, 1070, 527, 2103, 44201, 34453, 304, 1063, 44201, 18112, 13, 578, 13041, 288, 593, 1742, 649, 2103, 387, 1766, 304, 279, 2033, 58355, 291, 77395, 430, 527, 1633, 4279, 304, 44201, 31747, 291, 81, 1147, 13, 4452, 11, 832, 13041, 288, 593, 4367, 649, 387, 1766, 304, 279, 1648, 279, 14365, 1825, 13, 12361, 315, 3515, 1403, 3544, 14365, 430, 1825, 304, 4102, 814, 6118, 1825, 704, 4102, 13, 1115, 374, 2884, 1606, 304, 13041, 288, 593, 18112, 279, 14365, 527, 6646, 264, 1376, 315, 279, 7893, 33686, 627, 791, 13041, 288, 593, 1742, 649, 1101, 387, 1766, 304, 3738, 7739, 315, 1989, 13, 578, 1888, 3967, 13041, 288, 593, 10507, 1053, 387, 8309, 1147, 323, 61152, 9168, 11276, 13, 4314, 527, 4375, 430, 1051, 9124, 2212, 279, 220, 717, 339, 9478, 323, 3485, 13, 2435, 527, 1455, 17037, 1766, 304, 279, 8753, 6424, 315, 18569, 21878, 304, 279, 3723, 15422, 627, 32, 13041, 288, 593, 8993, 374, 264, 2294, 2035, 311, 4034, 477, 311, 23846, 13, 11699, 18112, 374, 4528, 311, 430, 315, 264, 11670, 13041, 68186, 3074, 13, 1102, 1053, 923, 264, 2294, 5066, 5916, 311, 904, 955, 315, 2955, 369, 1202, 58372, 32353, 13, 578, 13041, 288, 593, 1742, 649, 387, 14333, 555, 5606, 912, 5030, 872, 10597, 53891, 13, 128001, 128000, 71592, 264, 220, 10005, 15, 4339, 9071, 389, 10989, 14, 99224, 9096, 1920, 13, 44240, 311, 387, 84998, 1949, 4999, 2028, 3010, 19543, 304, 459, 958, 4166, 12324, 323, 27905, 11, 459, 74183, 4208, 13, 4452, 11, 279, 4208, 9670, 304, 220, 6393, 24, 1306, 6921, 8667, 264, 9096, 38997, 449, 3116, 10989, 5415, 430, 5343, 15212, 11, 12911, 11, 40371, 323, 17527, 320, 45, 1441, 11419, 2701, 5010, 332, 220, 6640, 570, 82671, 11, 279, 34234, 1051, 539, 961, 315, 279, 9096, 38997, 8667, 304, 220, 6393, 24, 13, 7648, 315, 1124, 30010, 872, 10632, 323, 6244, 22475, 304, 1023, 10989, 5415, 13, 24586, 311, 279, 33615, 5133, 1990, 264, 1396, 315, 10989, 5415, 323, 6921, 11, 26885, 617, 8738, 311, 34044, 1606, 315, 279, 26617, 16286, 30747, 315, 10989, 4363, 13, 1666, 264, 1648, 315, 11039, 369, 872, 3268, 11, 279, 34234, 14454, 393, 1623, 320, 78666, 267, 483, 72984, 21021, 8, 1306, 279, 1176, 528, 333, 2649, 13, 8876, 1243, 11, 12387, 9096, 24345, 617, 4529, 2035, 311, 9006, 279, 10989, 14, 99224, 12324, 13, 4452, 11, 389, 279, 1023, 1450, 11, 2225, 11314, 617, 8738, 311, 83802, 279, 9096, 1920, 320, 45, 1441, 11419, 2701, 5010, 332, 220, 7322, 570, 1115, 5684, 49095, 3249, 279, 10989, 14, 6921, 9096, 1920, 706, 1027, 66684, 627, 34710, 279, 8125, 3249, 279, 10989, 14, 99224, 9096, 706, 1027, 66684, 374, 1606, 2225, 11314, 527, 539, 5644, 311, 272, 15686, 5015, 323, 3412, 87371, 10093, 13, 578, 6996, 315, 92546, 555, 2225, 11314, 706, 8738, 311, 83802, 9096, 1920, 1606, 2225, 11314, 2980, 872, 8349, 439, 22785, 13, 6921, 11, 369, 2937, 11, 374, 539, 5644, 311, 3041, 709, 279, 39543, 11922, 555, 279, 42034, 13, 1666, 264, 1121, 11, 42034, 374, 1101, 6376, 4787, 369, 9096, 24345, 430, 6921, 9731, 311, 8007, 505, 892, 311, 892, 13, 578, 9096, 1920, 706, 1101, 1027, 66684, 1606, 11, 4856, 1109, 27830, 264, 34616, 1920, 11, 832, 3185, 374, 22541, 287, 311, 9349, 304, 279, 94914, 315, 11039, 369, 264, 1120, 5353, 13, 763, 1778, 459, 4676, 11, 2225, 11314, 617, 6656, 19738, 11, 323, 912, 832, 374, 10032, 311, 2586, 311, 279, 44725, 2007, 311, 1304, 92546, 439, 264, 1648, 4741, 311, 9455, 264, 29869, 6425, 311, 279, 10989, 14, 99224, 12324, 320, 7594, 977, 220, 11256, 4390, 31428, 11, 1418, 279, 3314, 315, 6921, 6944, 1023, 10989, 5415, 311, 15641, 1202, 128001, 128000, 43, 352, 9164, 753, 13002, 311, 279, 15745, 11188, 26002, 198, 791, 15745, 11188, 26002, 3131, 9575, 19212, 7154, 220, 17, 3610, 27464, 323, 41398, 505, 279, 18671, 11813, 315, 279, 27945, 315, 7188, 304, 12550, 311, 16642, 7188, 753, 8375, 783, 15379, 13, 11450, 433, 753, 832, 2442, 21341, 430, 1404, 11, 3686, 2103, 459, 3062, 1826, 3620, 11, 30405, 39646, 323, 33489, 5654, 1524, 3582, 15745, 11188, 28555, 19029, 5662, 279, 9581, 627, 2028, 220, 1187, 15463, 8641, 5825, 459, 24131, 315, 279, 3925, 315, 279, 15745, 11188, 26002, 11, 1202, 46139, 7036, 11, 12434, 26431, 11, 3560, 2949, 279, 15745, 11188, 61358, 11, 323, 4819, 5552, 311, 1202, 35093, 1389, 2737, 279, 28334, 6530, 304, 56267, 220, 16874, 320, 1820, 69051, 9306, 311, 279, 220, 6393, 19, 549, 815, 12898, 52665, 7210, 10164, 52131, 4390, 4531, 304, 20155, 320, 914, 477, 810, 11236, 315, 279, 1890, 8641, 8, 369, 264, 11293, 11307, 13, 9359, 279, 5114, 11, 220, 24487, 12, 14870, 12, 23000, 15, 11, 369, 3649, 13, 128001 ]
[ -100, 13359, 499, 369, 701, 2077, 13, 1628, 430, 596, 7041, 3249, 358, 4934, 311, 6865, 701, 11302, 13, 578, 1566, 3245, 358, 1390, 311, 656, 374, 36747, 553, 4423, 596, 28970, 13, 1102, 596, 539, 1093, 499, 4934, 311, 743, 264, 5915, 369, 6261, 311, 26438, 87578, 323, 6575, 2653, 311, 23075, 32116, 323, 17427, 2450, 13, 1472, 3287, 956, 2610, 369, 433, 11, 779, 433, 3250, 956, 2873, 1093, 82644, 527, 8475, 13, 19124, 40, 15763, 11011, 701, 3185, 323, 358, 3358, 1456, 311, 1005, 701, 11302, 304, 279, 3938, 13, 19418, 499, 2019, 358, 1288, 5357, 389, 9204, 48451, 323, 10371, 1825, 9670, 4860, 30, 10926, 358, 2846, 18290, 2288, 1790, 922, 3515, 264, 2077, 520, 682, 13, 128001, -100, 3947, 527, 3892, 2204, 9404, 315, 18112, 430, 649, 387, 21771, 439, 13041, 288, 593, 31012, 13, 578, 13041, 288, 593, 43563, 1742, 374, 459, 43563, 2955, 315, 42108, 4606, 32971, 555, 52524, 11, 7170, 18768, 1824, 22190, 5438, 288, 13, 2684, 4536, 1431, 1790, 9306, 369, 279, 6371, 315, 420, 1742, 11, 449, 17989, 24950, 505, 279, 220, 20, 339, 311, 279, 220, 22, 339, 9478, 11, 279, 15629, 2457, 1694, 279, 810, 13882, 5762, 13, 3639, 584, 656, 1440, 374, 430, 505, 420, 1486, 389, 11, 1070, 753, 1027, 2697, 775, 430, 53291, 279, 1742, 627, 10445, 374, 1070, 779, 1790, 10430, 922, 433, 30, 2684, 527, 1690, 3284, 11503, 13, 3861, 374, 279, 4325, 6418, 11249, 439, 311, 889, 3549, 279, 1176, 13041, 288, 593, 8993, 13, 15148, 433, 832, 315, 279, 1690, 66723, 34537, 311, 32186, 477, 574, 433, 1063, 11203, 9164, 30, 3161, 279, 18841, 315, 279, 71624, 19354, 389, 279, 14620, 315, 279, 31396, 315, 29959, 304, 9822, 11, 1070, 1253, 387, 3779, 1862, 311, 3060, 10334, 627, 10596, 1628, 7127, 198, 2746, 433, 574, 832, 315, 279, 66723, 11, 433, 1053, 1304, 5647, 430, 279, 13041, 288, 593, 8993, 1053, 617, 1047, 264, 1633, 2204, 1427, 323, 2955, 1109, 1023, 14373, 31012, 13, 763, 5369, 11, 279, 31179, 884, 1302, 315, 22463, 1051, 5918, 2391, 279, 892, 315, 279, 13041, 5545, 13, 1115, 374, 2555, 430, 11621, 311, 279, 22047, 315, 1405, 279, 1742, 3782, 505, 13, 15148, 433, 279, 1121, 315, 264, 14747, 477, 574, 1070, 459, 9678, 8993, 1603, 433, 574, 16489, 5380, 791, 13041, 288, 593, 1742, 1101, 706, 1202, 20282, 304, 44201, 18112, 13, 578, 15485, 315, 279, 8993, 574, 11383, 4827, 1109, 430, 315, 1023, 44201, 14016, 13, 578, 993, 3946, 1047, 8254, 11314, 11, 20426, 279, 2800, 315, 44201, 902, 1047, 1193, 4330, 13, 362, 13041, 288, 593, 4857, 1053, 1101, 617, 14618, 5438, 288, 477, 37033, 4619, 315, 27030, 13, 1102, 1053, 387, 4228, 311, 9855, 430, 279, 13041, 288, 593, 993, 3946, 1051, 14948, 555, 1521, 14726, 627, 3915, 279, 13041, 288, 593, 4261, 389, 11, 279, 13041, 288, 593, 6244, 264, 1742, 682, 1202, 1866, 13, 3296, 279, 270, 404, 46487, 9478, 11, 279, 13041, 288, 593, 1047, 2586, 264, 1317, 1648, 13, 2684, 527, 1690, 6617, 10507, 315, 13041, 288, 593, 18112, 304, 4606, 3432, 1778, 439, 279, 51108, 68, 951, 2893, 12249, 6830, 78824, 304, 12366, 11, 279, 37211, 2020, 37997, 304, 15704, 11, 323, 279, 13041, 288, 593, 94641, 315, 41109, 60285, 11, 9822, 13, 4314, 14016, 7293, 11509, 323, 527, 64747, 2212, 279, 1917, 627, 791, 1742, 1766, 304, 279, 13041, 288, 593, 374, 32971, 555, 5540, 1766, 18403, 304, 44201, 18112, 13, 1789, 3187, 11, 279, 4883, 15485, 11, 902, 374, 4279, 304, 44201, 18112, 11, 374, 3629, 1766, 304, 13041, 288, 593, 31012, 13, 1102, 1053, 539, 387, 15206, 311, 1505, 1778, 264, 29683, 304, 12877, 18516, 14016, 439, 1664, 13, 1115, 4883, 15485, 574, 13517, 264, 13041, 288, 593, 28229, 627, 791, 13041, 288, 593, 706, 46664, 5540, 315, 1023, 9404, 439, 1664, 13, 1789, 3187, 11, 422, 499, 1427, 520, 279, 35684, 291, 56814, 1766, 304, 1690, 44201, 31012, 499, 690, 1505, 264, 13041, 288, 593, 10383, 13, 3861, 13041, 288, 593, 18027, 430, 374, 4279, 6957, 1455, 315, 1521, 31012, 374, 279, 1005, 315, 16615, 64982, 13, 763, 13041, 288, 593, 18112, 11, 1778, 16615, 4519, 527, 1766, 10213, 304, 10632, 4856, 1109, 304, 586, 14016, 627, 644, 6617, 3115, 279, 13041, 288, 593, 706, 54434, 3201, 14738, 13, 362, 2478, 56035, 649, 33137, 433, 505, 44201, 323, 1023, 9404, 719, 369, 1455, 315, 603, 11, 279, 13041, 288, 593, 8625, 264, 2766, 315, 459, 665, 11750, 13, 1102, 374, 3118, 304, 5596, 315, 15704, 719, 374, 9024, 311, 1505, 304, 1023, 5961, 13, 11699, 9546, 649, 4869, 387, 1766, 304, 1063, 6617, 2162, 4857, 7224, 304, 7634, 1093, 48606, 11, 15704, 11, 323, 7295, 11, 9635, 627, 24205, 763, 578, 5560, 198, 644, 1057, 1938, 323, 4325, 11, 1070, 527, 2103, 44201, 34453, 304, 1063, 44201, 18112, 13, 578, 13041, 288, 593, 1742, 649, 2103, 387, 1766, 304, 279, 2033, 58355, 291, 77395, 430, 527, 1633, 4279, 304, 44201, 31747, 291, 81, 1147, 13, 4452, 11, 832, 13041, 288, 593, 4367, 649, 387, 1766, 304, 279, 1648, 279, 14365, 1825, 13, 12361, 315, 3515, 1403, 3544, 14365, 430, 1825, 304, 4102, 814, 6118, 1825, 704, 4102, 13, 1115, 374, 2884, 1606, 304, 13041, 288, 593, 18112, 279, 14365, 527, 6646, 264, 1376, 315, 279, 7893, 33686, 627, 791, 13041, 288, 593, 1742, 649, 1101, 387, 1766, 304, 3738, 7739, 315, 1989, 13, 578, 1888, 3967, 13041, 288, 593, 10507, 1053, 387, 8309, 1147, 323, 61152, 9168, 11276, 13, 4314, 527, 4375, 430, 1051, 9124, 2212, 279, 220, 717, 339, 9478, 323, 3485, 13, 2435, 527, 1455, 17037, 1766, 304, 279, 8753, 6424, 315, 18569, 21878, 304, 279, 3723, 15422, 627, 32, 13041, 288, 593, 8993, 374, 264, 2294, 2035, 311, 4034, 477, 311, 23846, 13, 11699, 18112, 374, 4528, 311, 430, 315, 264, 11670, 13041, 68186, 3074, 13, 1102, 1053, 923, 264, 2294, 5066, 5916, 311, 904, 955, 315, 2955, 369, 1202, 58372, 32353, 13, 578, 13041, 288, 593, 1742, 649, 387, 14333, 555, 5606, 912, 5030, 872, 10597, 53891, 13, 128001, -100, 71592, 264, 220, 10005, 15, 4339, 9071, 389, 10989, 14, 99224, 9096, 1920, 13, 44240, 311, 387, 84998, 1949, 4999, 2028, 3010, 19543, 304, 459, 958, 4166, 12324, 323, 27905, 11, 459, 74183, 4208, 13, 4452, 11, 279, 4208, 9670, 304, 220, 6393, 24, 1306, 6921, 8667, 264, 9096, 38997, 449, 3116, 10989, 5415, 430, 5343, 15212, 11, 12911, 11, 40371, 323, 17527, 320, 45, 1441, 11419, 2701, 5010, 332, 220, 6640, 570, 82671, 11, 279, 34234, 1051, 539, 961, 315, 279, 9096, 38997, 8667, 304, 220, 6393, 24, 13, 7648, 315, 1124, 30010, 872, 10632, 323, 6244, 22475, 304, 1023, 10989, 5415, 13, 24586, 311, 279, 33615, 5133, 1990, 264, 1396, 315, 10989, 5415, 323, 6921, 11, 26885, 617, 8738, 311, 34044, 1606, 315, 279, 26617, 16286, 30747, 315, 10989, 4363, 13, 1666, 264, 1648, 315, 11039, 369, 872, 3268, 11, 279, 34234, 14454, 393, 1623, 320, 78666, 267, 483, 72984, 21021, 8, 1306, 279, 1176, 528, 333, 2649, 13, 8876, 1243, 11, 12387, 9096, 24345, 617, 4529, 2035, 311, 9006, 279, 10989, 14, 99224, 12324, 13, 4452, 11, 389, 279, 1023, 1450, 11, 2225, 11314, 617, 8738, 311, 83802, 279, 9096, 1920, 320, 45, 1441, 11419, 2701, 5010, 332, 220, 7322, 570, 1115, 5684, 49095, 3249, 279, 10989, 14, 6921, 9096, 1920, 706, 1027, 66684, 627, 34710, 279, 8125, 3249, 279, 10989, 14, 99224, 9096, 706, 1027, 66684, 374, 1606, 2225, 11314, 527, 539, 5644, 311, 272, 15686, 5015, 323, 3412, 87371, 10093, 13, 578, 6996, 315, 92546, 555, 2225, 11314, 706, 8738, 311, 83802, 9096, 1920, 1606, 2225, 11314, 2980, 872, 8349, 439, 22785, 13, 6921, 11, 369, 2937, 11, 374, 539, 5644, 311, 3041, 709, 279, 39543, 11922, 555, 279, 42034, 13, 1666, 264, 1121, 11, 42034, 374, 1101, 6376, 4787, 369, 9096, 24345, 430, 6921, 9731, 311, 8007, 505, 892, 311, 892, 13, 578, 9096, 1920, 706, 1101, 1027, 66684, 1606, 11, 4856, 1109, 27830, 264, 34616, 1920, 11, 832, 3185, 374, 22541, 287, 311, 9349, 304, 279, 94914, 315, 11039, 369, 264, 1120, 5353, 13, 763, 1778, 459, 4676, 11, 2225, 11314, 617, 6656, 19738, 11, 323, 912, 832, 374, 10032, 311, 2586, 311, 279, 44725, 2007, 311, 1304, 92546, 439, 264, 1648, 4741, 311, 9455, 264, 29869, 6425, 311, 279, 10989, 14, 99224, 12324, 320, 7594, 977, 220, 11256, 4390, 31428, 11, 1418, 279, 3314, 315, 6921, 6944, 1023, 10989, 5415, 311, 15641, 1202, 128001, -100, 43, 352, 9164, 753, 13002, 311, 279, 15745, 11188, 26002, 198, 791, 15745, 11188, 26002, 3131, 9575, 19212, 7154, 220, 17, 3610, 27464, 323, 41398, 505, 279, 18671, 11813, 315, 279, 27945, 315, 7188, 304, 12550, 311, 16642, 7188, 753, 8375, 783, 15379, 13, 11450, 433, 753, 832, 2442, 21341, 430, 1404, 11, 3686, 2103, 459, 3062, 1826, 3620, 11, 30405, 39646, 323, 33489, 5654, 1524, 3582, 15745, 11188, 28555, 19029, 5662, 279, 9581, 627, 2028, 220, 1187, 15463, 8641, 5825, 459, 24131, 315, 279, 3925, 315, 279, 15745, 11188, 26002, 11, 1202, 46139, 7036, 11, 12434, 26431, 11, 3560, 2949, 279, 15745, 11188, 61358, 11, 323, 4819, 5552, 311, 1202, 35093, 1389, 2737, 279, 28334, 6530, 304, 56267, 220, 16874, 320, 1820, 69051, 9306, 311, 279, 220, 6393, 19, 549, 815, 12898, 52665, 7210, 10164, 52131, 4390, 4531, 304, 20155, 320, 914, 477, 810, 11236, 315, 279, 1890, 8641, 8, 369, 264, 11293, 11307, 13, 9359, 279, 5114, 11, 220, 24487, 12, 14870, 12, 23000, 15, 11, 369, 3649, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172 ]
[ 128000, 4054, 50451, 389, 763, 29276, 19197, 10011, 198, 2028, 10280, 11, 6980, 690, 387, 23132, 2555, 11493, 323, 264, 3610, 3115, 2731, 1109, 279, 5652, 502, 22068, 477, 6710, 315, 13312, 11, 4619, 814, 3358, 387, 23132, 459, 100137, 3225, 62494, 0, 320, 33413, 11, 7344, 539, 420, 1060, 11, 719, 1633, 5246, 13118, 6266, 57116, 304, 279, 3907, 315, 7188, 482, 5960, 18842, 527, 3318, 389, 3339, 264, 5405, 1802, 3756, 430, 374, 330, 21704, 15792, 323, 1587, 539, 11857, 279, 33306, 315, 3177, 2212, 264, 8340, 1665, 1210, 2435, 3077, 13524, 3549, 459, 100137, 3225, 330, 7063, 7005, 1, 902, 3250, 956, 2349, 279, 33306, 315, 3177, 2212, 459, 1665, 11961, 389, 264, 10269, 7479, 555, 28003, 16671, 279, 22599, 315, 3177, 1022, 279, 10269, 7479, 11, 902, 9093, 63409, 2053, 279, 8244, 50971, 315, 3177, 9057, 555, 279, 1665, 596, 6211, 482, 3339, 279, 22842, 1781, 430, 1070, 596, 264, 10269, 7479, 13, 12535, 287, 389, 872, 3495, 11, 2999, 473, 28149, 15100, 330, 1383, 10223, 279, 2673, 315, 1855, 2815, 47262, 19320, 11, 584, 1051, 3025, 311, 2585, 279, 22599, 315, 3177, 520, 1855, 1486, 389, 279, 62494, 1210, 2999, 473, 28149, 9731, 389, 311, 2019, 330, 8140, 6500, 47590, 1501, 1268, 1057, 5405, 1802, 3756, 1053, 36792, 304, 8903, 13, 1226, 1051, 3025, 311, 20461, 430, 264, 15792, 62494, 6319, 449, 35664, 35831, 2815, 47262, 19252, 649, 1520, 603, 12207, 8108, 279, 1665, 596, 12737, 1210, 7357, 1938, 8198, 374, 44169, 4661, 3339, 39074, 37731, 9698, 3719, 1972, 26928, 627, 91, 791, 30547, 893, 13, 7511, 14562, 25, 2355, 18422, 323, 17637, 25, 128001, 128000, 2989, 32, 320, 10097, 4010, 24045, 13935, 8, 374, 264, 6160, 536, 78130, 323, 33268, 30945, 454, 52279, 430, 374, 13882, 1511, 304, 5370, 8522, 1778, 439, 220, 18, 35, 18991, 11, 24066, 11, 323, 94612, 63284, 13, 4452, 11, 98066, 374, 8965, 3967, 311, 387, 12309, 95749, 323, 649, 387, 38097, 311, 52829, 477, 15061, 1234, 8631, 13, 5810, 527, 1063, 5627, 311, 1304, 98066, 810, 45339, 458, 512, 12, 2563, 2518, 449, 1023, 46033, 388, 25, 2563, 2518, 98066, 449, 1023, 46033, 388, 1778, 439, 54634, 11916, 295, 349, 14693, 64651, 17138, 320, 13114, 36, 423, 4505, 33526, 1354, 705, 1499, 3418, 391, 1098, 533, 606, 320, 47, 3218, 705, 10062, 88640, 51180, 320, 1777, 46, 705, 477, 10062, 8248, 64651, 20639, 3357, 320, 83609, 8, 649, 7417, 1202, 45339, 1429, 13, 4314, 46033, 388, 617, 4827, 9168, 9320, 20472, 323, 2731, 74595, 367, 6012, 1109, 98066, 11, 902, 649, 1304, 279, 13239, 20955, 810, 19303, 627, 12, 31470, 12466, 12509, 25, 37108, 12509, 1778, 439, 37807, 3913, 337, 11, 25551, 4590, 337, 11, 477, 6681, 2265, 13935, 649, 5376, 279, 25152, 323, 45339, 1429, 315, 98066, 13, 4314, 2678, 35715, 649, 24927, 279, 36813, 315, 98066, 27271, 323, 4827, 1202, 9168, 9320, 9499, 11, 902, 3727, 279, 3769, 810, 23506, 88, 627, 12, 12362, 11292, 6147, 13307, 25, 78154, 6147, 13307, 1778, 439, 6332, 75962, 23506, 19252, 477, 51593, 31717, 352, 649, 7417, 279, 77318, 323, 45339, 1429, 315, 98066, 13, 4314, 13307, 649, 1180, 439, 4907, 15938, 1941, 323, 5471, 17944, 54743, 304, 279, 3769, 627, 12, 74540, 31206, 4785, 25, 74540, 279, 31206, 4785, 315, 98066, 649, 7417, 1202, 77318, 323, 45339, 1429, 13, 1115, 649, 387, 17427, 555, 1701, 2204, 47393, 2065, 12823, 477, 7999, 8957, 13334, 388, 311, 279, 98066, 39975, 1920, 627, 12, 29026, 6260, 25, 29026, 6260, 374, 264, 1772, 70293, 15105, 430, 18065, 24494, 279, 98066, 3769, 311, 264, 3230, 9499, 323, 1243, 28015, 433, 14297, 13, 1115, 649, 7417, 279, 64568, 13797, 323, 31206, 17140, 315, 279, 3769, 11, 902, 649, 18885, 1202, 22936, 6012, 11, 2737, 45339, 1429, 627, 2181, 374, 3062, 311, 5296, 430, 279, 23669, 5603, 311, 18899, 279, 45339, 1429, 315, 98066, 1253, 13592, 11911, 389, 279, 3230, 3851, 323, 8670, 315, 279, 3769, 13, 128001, 128000, 71251, 1475, 13189, 315, 4443, 17452, 649, 387, 57697, 13, 5659, 22538, 311, 3682, 24393, 311, 21624, 311, 8276, 11, 279, 11429, 649, 387, 22798, 627, 4897, 753, 1405, 97753, 8445, 4131, 304, 13, 1226, 1505, 3300, 1057, 8403, 1051, 13490, 84644, 11559, 323, 83474, 627, 25729, 499, 617, 5199, 12032, 311, 10299, 51749, 422, 499, 527, 1120, 6041, 311, 47376, 12205, 86319, 617, 279, 7526, 323, 4092, 311, 3493, 279, 3600, 6319, 311, 5052, 701, 3966, 627, 5159, 4443, 5915, 374, 311, 3493, 499, 449, 19351, 311, 1520, 499, 3619, 323, 2731, 7124, 701, 6020, 9021, 13, 358, 990, 2653, 311, 1893, 459, 16369, 1317, 9860, 5133, 449, 856, 8403, 323, 872, 8689, 627, 2170, 264, 4562, 315, 279, 66039, 4029, 449, 927, 36498, 1667, 6, 3217, 304, 6020, 3600, 11, 358, 1935, 22519, 304, 14392, 430, 358, 617, 9087, 1690, 1274, 11322, 279, 955, 315, 6020, 3938, 814, 57636, 315, 32145, 627, 2520, 810, 2038, 922, 1057, 3600, 11, 4587, 1650, 13, 358, 1053, 4774, 6975, 810, 922, 701, 9021, 323, 19226, 13, 128001, 128000, 34141, 420, 1060, 11, 72548, 5499, 6244, 264, 5195, 15161, 20210, 32413, 323, 574, 7086, 264, 5195, 15161, 39435, 323, 9601, 23199, 33257, 1082, 32413, 304, 18324, 315, 1057, 21091, 11156, 63239, 11, 19248, 11, 323, 6130, 5536, 449, 5195, 15161, 17916, 320, 38, 7269, 570, 1226, 617, 17626, 5304, 1057, 2450, 449, 480, 7269, 304, 279, 18985, 323, 2324, 36788, 11987, 11, 323, 527, 12304, 311, 22203, 430, 584, 617, 15662, 4848, 5217, 33257, 1082, 2955, 811, 25, 7473, 11050, 11, 2956, 11940, 18766, 2065, 11, 79150, 12053, 11, 7694, 11, 17961, 8471, 11, 323, 1561, 8184, 64000, 12362, 34456, 627, 3976, 69, 5499, 706, 21091, 2450, 304, 4857, 323, 18646, 8522, 1701, 5195, 15161, 5557, 627, 1687, 9087, 459, 3778, 62866, 2883, 10739, 480, 7269, 304, 2015, 311, 5569, 279, 12172, 323, 24047, 315, 990, 33785, 311, 264, 9966, 323, 15062, 4676, 13, 1226, 3549, 459, 33762, 8446, 369, 18899, 9624, 7677, 11, 902, 1101, 3984, 6168, 8596, 40004, 5326, 66860, 323, 5535, 1057, 3016, 311, 3449, 8907, 8670, 627, 2028, 33257, 1082, 11105, 1057, 5845, 311, 312, 3875, 828, 311, 5195, 15161, 13, 9176, 6617, 18985, 5220, 527, 7859, 872, 9624, 9341, 311, 1862, 828, 4868, 11, 86440, 85129, 6067, 11, 323, 8108, 7194, 627, 1687, 6575, 449, 264, 6522, 18985, 5557, 9287, 311, 2955, 264, 480, 7269, 4676, 430, 1053, 6678, 7528, 2626, 13, 1226, 9749, 480, 7269, 41582, 11, 5918, 264, 7447, 61779, 6425, 369, 5377, 8922, 15161, 12595, 894, 11, 323, 6319, 264, 828, 22553, 430, 75762, 31701, 54397, 15161, 449, 480, 7269, 15161, 15035, 323, 6295, 2929, 13, 1666, 264, 1121, 11, 1057, 3016, 1457, 706, 459, 9749, 11, 9966, 11, 323, 27800, 14054, 430, 374, 14324, 1124, 11758, 315, 9214, 315, 11441, 1475, 2046, 304, 84945, 7443, 75954, 627, 1687, 17427, 1057, 79150, 12053, 33257, 1082, 43851, 1555, 1057, 21091, 2450, 304, 73194, 6444, 311, 480, 7269, 627, 644, 264, 2853, 1355, 46851, 20770, 311, 8895, 2585, 927, 8871, 14054, 11, 584, 9087, 264, 18985, 5557, 2883, 6541, 872, 34333, 5452, 311, 1629, 389, 480, 7269, 13, 1226, 3549, 264, 12172, 5603, 323, 264, 11944, 69917, 11, 323, 1243, 72849, 279, 12172, 1701, 67474, 311, 5813, 279, 10879, 2955, 11, 6373, 11, 323, 35186, 4460, 369, 3851, 5593, 2065, 13, 3161, 480, 7269, 323, 67474, 11, 1057, 3016, 706, 11293, 9624, 5452, 10374, 555, 220, 966, 4, 323, 706, 810, 2585, 323, 9466, 2968, 927, 872, 8871, 22484, 627, 1687, 17427, 7694, 33257, 1082, 1555, 1057, 2450, 304, 54952, 5195, 15161, 7694, 311, 1520, 1057, 6444, 11322, 264, 837, 20790, 2778, 4028, 872, 9873, 627, 2729, 69, 3847, 449, 40186, 2038, 6067, 11, 264, 3728, 3691, 323, 43450, 2883, 4934, 311, 4305, 15161, 7694, 4028, 1202, 20790, 11, 21583, 1052, 6067, 11, 32906, 11, 13335, 11, 29022, 34831, 11, 2958, 7099, 11, 12051, 372, 11, 328, 65710, 6067, 11, 5475, 7184, 11, 77246, 11, 323, 810, 13, 4800, 11, 8420, 649, 6847, 2680, 279, 2038, 814, 1205, 922, 3956, 11, 3495, 11, 10396, 11, 323, 872, 18105, 627, 2028, 43851, 21881, 311, 1057, 5845, 311, 1520, 6020, 3600, 14673, 11886, 872, 1455, 6485, 2626, 11774, 627, 1687, 61310, 709, 449, 264, 6201, 311, 5891, 1141, 1202, 1203, 82227, 7677, 1701, 33762, 323, 21075, 11478, 13, 1226, 3549, 264, 69917, 323, 33762, 4219, 315, 38656, 323, 1243, 5918, 264, 6425, 1701, 432, 8201, 11, 452, 12852, 11, 20187, 11, 323, 89319, 311, 6678, 842, 4791, 13368, 1203, 82227, 8863, 33762, 13, 578, 6201, 6924, 400, 17, 3610, 505, 264, 3254, 1005, 1162, 323, 10534, 264, 220, 6083, 4, 14278, 304, 11941, 8863, 892, 627, 8140, 26084, 33257, 1082, 43851, 304, 1561, 8184, 64000, 12362, 34456, 574, 17427, 1555, 3339, 1057, 6444, 529, 15525, 828, 323, 3600, 2561, 439, 9407, 481, 323, 3721, 89197, 34456, 627, 32, 7808, 304, 3827, 18459, 1047, 459, 30084, 5446, 29895, 430, 1436, 539, 3493, 5995, 3851, 24035, 13, 1226, 11798, 5345, 343, 2176, 449, 389, 22041, 76, 5014, 18112, 11, 902, 59754, 63239, 304, 11469, 5446, 60465, 11, 18899, 3851, 9629, 24035, 11, 31692, 35186, 11, 323, 8736, 279, 29895, 369, 2167, 1005, 13, 1666, 264, 1121, 11, 1057, 3016, 649, 9203, 24047, 810, 19019, 1109, 1603, 323, 706, 24035, 1139, 3851, 9629, 627, 2409, 810, 1109, 220, 605, 1667, 315, 3217, 8405, 5195, 10105, 311, 1057, 6444, 323, 60862, 555, 264, 2128, 315, 810, 1109, 220, 1049, 9624, 11909, 11, 72548, 5499, 33511, 279, 2410, 315, 5195, 15161, 5557, 449, 8446, 323, 9889, 19248, 311, 1520, 11886, 9200, 2626, 11774, 627, 24762, 810, 922, 1057, 15664, 449, 5195, 323, 1373, 5217, 3016, 2450, 7493, 1618, 627, 42584, 39037, 374, 264, 18729, 43424, 520, 72548, 5499, 13, 3005, 374, 389, 279, 32413, 18729, 8068, 11, 27210, 311, 5195, 11, 66012, 11, 2577, 22157, 11, 1883, 1122, 11, 393, 11437, 11, 323, 8427, 19440, 6168, 40004, 11, 323, 374, 3196, 304, 279, 800, 13, 12140, 5274, 627, 128001 ]
[ -100, 4054, 50451, 389, 763, 29276, 19197, 10011, 198, 2028, 10280, 11, 6980, 690, 387, 23132, 2555, 11493, 323, 264, 3610, 3115, 2731, 1109, 279, 5652, 502, 22068, 477, 6710, 315, 13312, 11, 4619, 814, 3358, 387, 23132, 459, 100137, 3225, 62494, 0, 320, 33413, 11, 7344, 539, 420, 1060, 11, 719, 1633, 5246, 13118, 6266, 57116, 304, 279, 3907, 315, 7188, 482, 5960, 18842, 527, 3318, 389, 3339, 264, 5405, 1802, 3756, 430, 374, 330, 21704, 15792, 323, 1587, 539, 11857, 279, 33306, 315, 3177, 2212, 264, 8340, 1665, 1210, 2435, 3077, 13524, 3549, 459, 100137, 3225, 330, 7063, 7005, 1, 902, 3250, 956, 2349, 279, 33306, 315, 3177, 2212, 459, 1665, 11961, 389, 264, 10269, 7479, 555, 28003, 16671, 279, 22599, 315, 3177, 1022, 279, 10269, 7479, 11, 902, 9093, 63409, 2053, 279, 8244, 50971, 315, 3177, 9057, 555, 279, 1665, 596, 6211, 482, 3339, 279, 22842, 1781, 430, 1070, 596, 264, 10269, 7479, 13, 12535, 287, 389, 872, 3495, 11, 2999, 473, 28149, 15100, 330, 1383, 10223, 279, 2673, 315, 1855, 2815, 47262, 19320, 11, 584, 1051, 3025, 311, 2585, 279, 22599, 315, 3177, 520, 1855, 1486, 389, 279, 62494, 1210, 2999, 473, 28149, 9731, 389, 311, 2019, 330, 8140, 6500, 47590, 1501, 1268, 1057, 5405, 1802, 3756, 1053, 36792, 304, 8903, 13, 1226, 1051, 3025, 311, 20461, 430, 264, 15792, 62494, 6319, 449, 35664, 35831, 2815, 47262, 19252, 649, 1520, 603, 12207, 8108, 279, 1665, 596, 12737, 1210, 7357, 1938, 8198, 374, 44169, 4661, 3339, 39074, 37731, 9698, 3719, 1972, 26928, 627, 91, 791, 30547, 893, 13, 7511, 14562, 25, 2355, 18422, 323, 17637, 25, 128001, -100, 2989, 32, 320, 10097, 4010, 24045, 13935, 8, 374, 264, 6160, 536, 78130, 323, 33268, 30945, 454, 52279, 430, 374, 13882, 1511, 304, 5370, 8522, 1778, 439, 220, 18, 35, 18991, 11, 24066, 11, 323, 94612, 63284, 13, 4452, 11, 98066, 374, 8965, 3967, 311, 387, 12309, 95749, 323, 649, 387, 38097, 311, 52829, 477, 15061, 1234, 8631, 13, 5810, 527, 1063, 5627, 311, 1304, 98066, 810, 45339, 458, 512, 12, 2563, 2518, 449, 1023, 46033, 388, 25, 2563, 2518, 98066, 449, 1023, 46033, 388, 1778, 439, 54634, 11916, 295, 349, 14693, 64651, 17138, 320, 13114, 36, 423, 4505, 33526, 1354, 705, 1499, 3418, 391, 1098, 533, 606, 320, 47, 3218, 705, 10062, 88640, 51180, 320, 1777, 46, 705, 477, 10062, 8248, 64651, 20639, 3357, 320, 83609, 8, 649, 7417, 1202, 45339, 1429, 13, 4314, 46033, 388, 617, 4827, 9168, 9320, 20472, 323, 2731, 74595, 367, 6012, 1109, 98066, 11, 902, 649, 1304, 279, 13239, 20955, 810, 19303, 627, 12, 31470, 12466, 12509, 25, 37108, 12509, 1778, 439, 37807, 3913, 337, 11, 25551, 4590, 337, 11, 477, 6681, 2265, 13935, 649, 5376, 279, 25152, 323, 45339, 1429, 315, 98066, 13, 4314, 2678, 35715, 649, 24927, 279, 36813, 315, 98066, 27271, 323, 4827, 1202, 9168, 9320, 9499, 11, 902, 3727, 279, 3769, 810, 23506, 88, 627, 12, 12362, 11292, 6147, 13307, 25, 78154, 6147, 13307, 1778, 439, 6332, 75962, 23506, 19252, 477, 51593, 31717, 352, 649, 7417, 279, 77318, 323, 45339, 1429, 315, 98066, 13, 4314, 13307, 649, 1180, 439, 4907, 15938, 1941, 323, 5471, 17944, 54743, 304, 279, 3769, 627, 12, 74540, 31206, 4785, 25, 74540, 279, 31206, 4785, 315, 98066, 649, 7417, 1202, 77318, 323, 45339, 1429, 13, 1115, 649, 387, 17427, 555, 1701, 2204, 47393, 2065, 12823, 477, 7999, 8957, 13334, 388, 311, 279, 98066, 39975, 1920, 627, 12, 29026, 6260, 25, 29026, 6260, 374, 264, 1772, 70293, 15105, 430, 18065, 24494, 279, 98066, 3769, 311, 264, 3230, 9499, 323, 1243, 28015, 433, 14297, 13, 1115, 649, 7417, 279, 64568, 13797, 323, 31206, 17140, 315, 279, 3769, 11, 902, 649, 18885, 1202, 22936, 6012, 11, 2737, 45339, 1429, 627, 2181, 374, 3062, 311, 5296, 430, 279, 23669, 5603, 311, 18899, 279, 45339, 1429, 315, 98066, 1253, 13592, 11911, 389, 279, 3230, 3851, 323, 8670, 315, 279, 3769, 13, 128001, -100, 71251, 1475, 13189, 315, 4443, 17452, 649, 387, 57697, 13, 5659, 22538, 311, 3682, 24393, 311, 21624, 311, 8276, 11, 279, 11429, 649, 387, 22798, 627, 4897, 753, 1405, 97753, 8445, 4131, 304, 13, 1226, 1505, 3300, 1057, 8403, 1051, 13490, 84644, 11559, 323, 83474, 627, 25729, 499, 617, 5199, 12032, 311, 10299, 51749, 422, 499, 527, 1120, 6041, 311, 47376, 12205, 86319, 617, 279, 7526, 323, 4092, 311, 3493, 279, 3600, 6319, 311, 5052, 701, 3966, 627, 5159, 4443, 5915, 374, 311, 3493, 499, 449, 19351, 311, 1520, 499, 3619, 323, 2731, 7124, 701, 6020, 9021, 13, 358, 990, 2653, 311, 1893, 459, 16369, 1317, 9860, 5133, 449, 856, 8403, 323, 872, 8689, 627, 2170, 264, 4562, 315, 279, 66039, 4029, 449, 927, 36498, 1667, 6, 3217, 304, 6020, 3600, 11, 358, 1935, 22519, 304, 14392, 430, 358, 617, 9087, 1690, 1274, 11322, 279, 955, 315, 6020, 3938, 814, 57636, 315, 32145, 627, 2520, 810, 2038, 922, 1057, 3600, 11, 4587, 1650, 13, 358, 1053, 4774, 6975, 810, 922, 701, 9021, 323, 19226, 13, 128001, -100, 34141, 420, 1060, 11, 72548, 5499, 6244, 264, 5195, 15161, 20210, 32413, 323, 574, 7086, 264, 5195, 15161, 39435, 323, 9601, 23199, 33257, 1082, 32413, 304, 18324, 315, 1057, 21091, 11156, 63239, 11, 19248, 11, 323, 6130, 5536, 449, 5195, 15161, 17916, 320, 38, 7269, 570, 1226, 617, 17626, 5304, 1057, 2450, 449, 480, 7269, 304, 279, 18985, 323, 2324, 36788, 11987, 11, 323, 527, 12304, 311, 22203, 430, 584, 617, 15662, 4848, 5217, 33257, 1082, 2955, 811, 25, 7473, 11050, 11, 2956, 11940, 18766, 2065, 11, 79150, 12053, 11, 7694, 11, 17961, 8471, 11, 323, 1561, 8184, 64000, 12362, 34456, 627, 3976, 69, 5499, 706, 21091, 2450, 304, 4857, 323, 18646, 8522, 1701, 5195, 15161, 5557, 627, 1687, 9087, 459, 3778, 62866, 2883, 10739, 480, 7269, 304, 2015, 311, 5569, 279, 12172, 323, 24047, 315, 990, 33785, 311, 264, 9966, 323, 15062, 4676, 13, 1226, 3549, 459, 33762, 8446, 369, 18899, 9624, 7677, 11, 902, 1101, 3984, 6168, 8596, 40004, 5326, 66860, 323, 5535, 1057, 3016, 311, 3449, 8907, 8670, 627, 2028, 33257, 1082, 11105, 1057, 5845, 311, 312, 3875, 828, 311, 5195, 15161, 13, 9176, 6617, 18985, 5220, 527, 7859, 872, 9624, 9341, 311, 1862, 828, 4868, 11, 86440, 85129, 6067, 11, 323, 8108, 7194, 627, 1687, 6575, 449, 264, 6522, 18985, 5557, 9287, 311, 2955, 264, 480, 7269, 4676, 430, 1053, 6678, 7528, 2626, 13, 1226, 9749, 480, 7269, 41582, 11, 5918, 264, 7447, 61779, 6425, 369, 5377, 8922, 15161, 12595, 894, 11, 323, 6319, 264, 828, 22553, 430, 75762, 31701, 54397, 15161, 449, 480, 7269, 15161, 15035, 323, 6295, 2929, 13, 1666, 264, 1121, 11, 1057, 3016, 1457, 706, 459, 9749, 11, 9966, 11, 323, 27800, 14054, 430, 374, 14324, 1124, 11758, 315, 9214, 315, 11441, 1475, 2046, 304, 84945, 7443, 75954, 627, 1687, 17427, 1057, 79150, 12053, 33257, 1082, 43851, 1555, 1057, 21091, 2450, 304, 73194, 6444, 311, 480, 7269, 627, 644, 264, 2853, 1355, 46851, 20770, 311, 8895, 2585, 927, 8871, 14054, 11, 584, 9087, 264, 18985, 5557, 2883, 6541, 872, 34333, 5452, 311, 1629, 389, 480, 7269, 13, 1226, 3549, 264, 12172, 5603, 323, 264, 11944, 69917, 11, 323, 1243, 72849, 279, 12172, 1701, 67474, 311, 5813, 279, 10879, 2955, 11, 6373, 11, 323, 35186, 4460, 369, 3851, 5593, 2065, 13, 3161, 480, 7269, 323, 67474, 11, 1057, 3016, 706, 11293, 9624, 5452, 10374, 555, 220, 966, 4, 323, 706, 810, 2585, 323, 9466, 2968, 927, 872, 8871, 22484, 627, 1687, 17427, 7694, 33257, 1082, 1555, 1057, 2450, 304, 54952, 5195, 15161, 7694, 311, 1520, 1057, 6444, 11322, 264, 837, 20790, 2778, 4028, 872, 9873, 627, 2729, 69, 3847, 449, 40186, 2038, 6067, 11, 264, 3728, 3691, 323, 43450, 2883, 4934, 311, 4305, 15161, 7694, 4028, 1202, 20790, 11, 21583, 1052, 6067, 11, 32906, 11, 13335, 11, 29022, 34831, 11, 2958, 7099, 11, 12051, 372, 11, 328, 65710, 6067, 11, 5475, 7184, 11, 77246, 11, 323, 810, 13, 4800, 11, 8420, 649, 6847, 2680, 279, 2038, 814, 1205, 922, 3956, 11, 3495, 11, 10396, 11, 323, 872, 18105, 627, 2028, 43851, 21881, 311, 1057, 5845, 311, 1520, 6020, 3600, 14673, 11886, 872, 1455, 6485, 2626, 11774, 627, 1687, 61310, 709, 449, 264, 6201, 311, 5891, 1141, 1202, 1203, 82227, 7677, 1701, 33762, 323, 21075, 11478, 13, 1226, 3549, 264, 69917, 323, 33762, 4219, 315, 38656, 323, 1243, 5918, 264, 6425, 1701, 432, 8201, 11, 452, 12852, 11, 20187, 11, 323, 89319, 311, 6678, 842, 4791, 13368, 1203, 82227, 8863, 33762, 13, 578, 6201, 6924, 400, 17, 3610, 505, 264, 3254, 1005, 1162, 323, 10534, 264, 220, 6083, 4, 14278, 304, 11941, 8863, 892, 627, 8140, 26084, 33257, 1082, 43851, 304, 1561, 8184, 64000, 12362, 34456, 574, 17427, 1555, 3339, 1057, 6444, 529, 15525, 828, 323, 3600, 2561, 439, 9407, 481, 323, 3721, 89197, 34456, 627, 32, 7808, 304, 3827, 18459, 1047, 459, 30084, 5446, 29895, 430, 1436, 539, 3493, 5995, 3851, 24035, 13, 1226, 11798, 5345, 343, 2176, 449, 389, 22041, 76, 5014, 18112, 11, 902, 59754, 63239, 304, 11469, 5446, 60465, 11, 18899, 3851, 9629, 24035, 11, 31692, 35186, 11, 323, 8736, 279, 29895, 369, 2167, 1005, 13, 1666, 264, 1121, 11, 1057, 3016, 649, 9203, 24047, 810, 19019, 1109, 1603, 323, 706, 24035, 1139, 3851, 9629, 627, 2409, 810, 1109, 220, 605, 1667, 315, 3217, 8405, 5195, 10105, 311, 1057, 6444, 323, 60862, 555, 264, 2128, 315, 810, 1109, 220, 1049, 9624, 11909, 11, 72548, 5499, 33511, 279, 2410, 315, 5195, 15161, 5557, 449, 8446, 323, 9889, 19248, 311, 1520, 11886, 9200, 2626, 11774, 627, 24762, 810, 922, 1057, 15664, 449, 5195, 323, 1373, 5217, 3016, 2450, 7493, 1618, 627, 42584, 39037, 374, 264, 18729, 43424, 520, 72548, 5499, 13, 3005, 374, 389, 279, 32413, 18729, 8068, 11, 27210, 311, 5195, 11, 66012, 11, 2577, 22157, 11, 1883, 1122, 11, 393, 11437, 11, 323, 8427, 19440, 6168, 40004, 11, 323, 374, 3196, 304, 279, 800, 13, 12140, 5274, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819 ]
[ 128000, 9577, 369, 66102, 5848, 8483, 198, 644, 5936, 220, 2550, 23, 11, 264, 1450, 1773, 773, 54352, 574, 45215, 660, 4994, 279, 52297, 19672, 315, 24098, 5960, 13175, 409, 1208, 27612, 2649, 311, 2035, 3770, 79255, 20314, 77635, 13, 24586, 311, 279, 18526, 12939, 315, 279, 9131, 2816, 11, 17274, 505, 279, 5955, 369, 66102, 5848, 8483, 315, 578, 3907, 315, 8421, 520, 5960, 23245, 41223, 279, 42200, 315, 420, 54352, 13, 578, 8625, 315, 264, 3284, 73848, 99181, 7147, 1051, 43522, 4994, 279, 18561, 842, 315, 279, 4857, 13, 35695, 1051, 1903, 311, 1629, 279, 20314, 77635, 3485, 5015, 304, 430, 3158, 11, 304, 2015, 311, 5766, 34446, 279, 18526, 6070, 627, 64046, 26667, 1914, 198, 2028, 990, 374, 16383, 1234, 264, 25248, 26667, 59418, 12, 8284, 60816, 220, 19, 13, 15, 7327, 1914, 198, 29518, 10441, 21023, 26667, 11, 66102, 5848, 70384, 2508, 26667, 11, 25027, 19241, 26667, 11, 7089, 3778, 19241, 26667, 11, 7089, 17979, 323, 87345, 26667, 11, 7089, 11346, 315, 5277, 11, 38943, 11, 323, 66102, 2508, 26667, 11, 3723, 4273, 11346, 26667, 198, 41551, 603, 1268, 420, 4652, 9087, 499, 13, 128001, 128000, 15721, 26, 50828, 5708, 5334, 293, 13883, 1523, 311, 264, 2237, 13890, 311, 912, 5190, 1109, 279, 9578, 82, 6332, 382, 1777, 374, 220, 914, 13, 220, 81923, 8142, 358, 1781, 25464, 6486, 374, 927, 838, 3340, 11, 279, 3157, 706, 264, 2944, 1618, 13, 578, 3157, 15849, 71503, 527, 279, 3938, 315, 828, 4219, 6650, 323, 430, 25464, 6486, 706, 264, 7029, 4647, 266, 304, 430, 3634, 13, 25300, 3727, 6555, 12035, 719, 872, 3241, 5729, 4536, 956, 12660, 3345, 311, 15022, 1618, 13, 128001, 128000, 42, 13, 21, 578, 5575, 690, 19874, 323, 3619, 279, 12062, 1990, 5496, 44304, 323, 2536, 64275, 6302, 13, 5422, 19476, 2997, 512, 64, 8, 682, 2574, 649, 387, 21771, 439, 5496, 477, 2536, 64275, 26, 323, 198, 65, 8, 5496, 44304, 617, 3738, 17910, 430, 33137, 1124, 505, 2536, 64275, 6302, 198, 16564, 6650, 11, 7351, 11, 2077, 311, 279, 4676, 11, 3515, 46471, 11, 323, 279, 198, 17483, 369, 3691, 11, 3805, 11, 323, 3090, 627, 31912, 66542, 13566, 18491, 269, 388, 1389, 19048, 323, 11842, 8288, 2299, 128001 ]
[ -100, 9577, 369, 66102, 5848, 8483, 198, 644, 5936, 220, 2550, 23, 11, 264, 1450, 1773, 773, 54352, 574, 45215, 660, 4994, 279, 52297, 19672, 315, 24098, 5960, 13175, 409, 1208, 27612, 2649, 311, 2035, 3770, 79255, 20314, 77635, 13, 24586, 311, 279, 18526, 12939, 315, 279, 9131, 2816, 11, 17274, 505, 279, 5955, 369, 66102, 5848, 8483, 315, 578, 3907, 315, 8421, 520, 5960, 23245, 41223, 279, 42200, 315, 420, 54352, 13, 578, 8625, 315, 264, 3284, 73848, 99181, 7147, 1051, 43522, 4994, 279, 18561, 842, 315, 279, 4857, 13, 35695, 1051, 1903, 311, 1629, 279, 20314, 77635, 3485, 5015, 304, 430, 3158, 11, 304, 2015, 311, 5766, 34446, 279, 18526, 6070, 627, 64046, 26667, 1914, 198, 2028, 990, 374, 16383, 1234, 264, 25248, 26667, 59418, 12, 8284, 60816, 220, 19, 13, 15, 7327, 1914, 198, 29518, 10441, 21023, 26667, 11, 66102, 5848, 70384, 2508, 26667, 11, 25027, 19241, 26667, 11, 7089, 3778, 19241, 26667, 11, 7089, 17979, 323, 87345, 26667, 11, 7089, 11346, 315, 5277, 11, 38943, 11, 323, 66102, 2508, 26667, 11, 3723, 4273, 11346, 26667, 198, 41551, 603, 1268, 420, 4652, 9087, 499, 13, 128001, -100, 15721, 26, 50828, 5708, 5334, 293, 13883, 1523, 311, 264, 2237, 13890, 311, 912, 5190, 1109, 279, 9578, 82, 6332, 382, 1777, 374, 220, 914, 13, 220, 81923, 8142, 358, 1781, 25464, 6486, 374, 927, 838, 3340, 11, 279, 3157, 706, 264, 2944, 1618, 13, 578, 3157, 15849, 71503, 527, 279, 3938, 315, 828, 4219, 6650, 323, 430, 25464, 6486, 706, 264, 7029, 4647, 266, 304, 430, 3634, 13, 25300, 3727, 6555, 12035, 719, 872, 3241, 5729, 4536, 956, 12660, 3345, 311, 15022, 1618, 13, 128001, -100, 42, 13, 21, 578, 5575, 690, 19874, 323, 3619, 279, 12062, 1990, 5496, 44304, 323, 2536, 64275, 6302, 13, 5422, 19476, 2997, 512, 64, 8, 682, 2574, 649, 387, 21771, 439, 5496, 477, 2536, 64275, 26, 323, 198, 65, 8, 5496, 44304, 617, 3738, 17910, 430, 33137, 1124, 505, 2536, 64275, 6302, 198, 16564, 6650, 11, 7351, 11, 2077, 311, 279, 4676, 11, 3515, 46471, 11, 323, 279, 198, 17483, 369, 3691, 11, 3805, 11, 323, 3090, 627, 31912, 66542, 13566, 18491, 269, 388, 1389, 19048, 323, 11842, 8288, 2299, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91 ]
[ 128000, 791, 16852, 59520, 5165, 5657, 374, 832, 315, 279, 7928, 5426, 27943, 304, 279, 1917, 11, 18702, 220, 8652, 16400, 505, 10411, 311, 10007, 11, 323, 7154, 220, 508, 220, 931, 18522, 13, 13437, 13, 1102, 374, 7086, 1306, 4900, 7043, 16852, 59520, 11, 889, 304, 220, 9378, 23, 11, 8667, 264, 96530, 369, 279, 36330, 315, 264, 3109, 1847, 6246, 304, 279, 3158, 1990, 279, 25611, 83774, 323, 21252, 72, 36739, 11, 264, 5654, 1457, 3967, 439, 51065, 372, 278, 19934, 627, 82265, 59520, 6835, 499, 459, 25363, 30405, 3217, 11, 323, 38119, 279, 12474, 20057, 315, 30405, 9606, 315, 904, 30405, 21137, 304, 10384, 482, 449, 220, 10465, 56669, 499, 3358, 387, 8774, 13326, 9455, 1124, 682, 0, 578, 364, 16548, 4330, 6, 1101, 13980, 304, 16852, 59520, 5165, 5657, 304, 5369, 311, 1063, 315, 10384, 596, 27672, 1093, 41389, 38880, 11, 1167, 51313, 11, 8545, 5679, 11, 6409, 7304, 323, 1690, 3276, 82665, 9606, 627, 70620, 7253, 220, 15830, 12224, 9606, 527, 1766, 304, 16852, 59520, 44340, 13, 9176, 315, 1521, 45666, 2391, 279, 76214, 4038, 11, 719, 1070, 527, 1690, 430, 54068, 1618, 6957, 279, 1060, 627, 2173, 279, 16852, 59520, 596, 220, 1049, 15, 6136, 9606, 11, 220, 17014, 527, 12690, 13, 16852, 59520, 1101, 38119, 220, 1135, 2204, 57196, 323, 220, 5538, 1023, 64873, 458, 4595, 11, 439, 1664, 439, 220, 9870, 4595, 315, 56269, 13, 578, 27080, 36680, 323, 8162, 12, 76991, 527, 653, 1868, 481, 13, 128001, 128000, 791, 8325, 47139, 3851, 4536, 1431, 2216, 6319, 311, 3790, 1268, 1690, 2204, 5627, 584, 617, 315, 47208, 1274, 1521, 2919, 13, 763, 4040, 433, 753, 25629, 520, 11850, 21961, 304, 264, 3254, 3786, 4441, 13, 6914, 753, 2019, 499, 3207, 4885, 449, 14596, 323, 53391, 30605, 771, 8188, 69, 13, 1472, 3708, 1124, 264, 13560, 3786, 1475, 1060, 779, 499, 1390, 2225, 315, 872, 5144, 304, 279, 1890, 3786, 13, 2030, 1243, 994, 499, 733, 311, 1650, 832, 315, 1124, 11, 499, 3207, 17011, 449, 1403, 6505, 5219, 323, 499, 649, 1431, 3371, 902, 832, 374, 902, 627, 13622, 1274, 1893, 2380, 7563, 11, 832, 369, 14596, 753, 2849, 11, 832, 369, 53391, 753, 2849, 323, 264, 4948, 449, 1124, 3871, 369, 279, 13560, 3786, 13, 1102, 753, 264, 9622, 0, 1115, 4062, 11813, 690, 1520, 499, 2567, 1124, 304, 832, 3786, 323, 3686, 2103, 3371, 1124, 10980, 13, 1472, 649, 1005, 420, 11813, 304, 88846, 477, 16433, 323, 315, 3388, 433, 4375, 304, 2225, 994, 499, 3207, 2884, 627, 791, 1193, 1523, 3185, 311, 420, 11813, 374, 430, 433, 1587, 4276, 10765, 279, 4641, 422, 499, 527, 3288, 264, 31009, 16843, 2097, 13, 3011, 10791, 757, 704, 994, 358, 3463, 358, 574, 69094, 856, 10868, 11, 994, 304, 2144, 358, 574, 69094, 813, 7555, 320, 14965, 574, 1701, 856, 80115, 753, 4641, 570, 128001 ]
[ -100, 791, 16852, 59520, 5165, 5657, 374, 832, 315, 279, 7928, 5426, 27943, 304, 279, 1917, 11, 18702, 220, 8652, 16400, 505, 10411, 311, 10007, 11, 323, 7154, 220, 508, 220, 931, 18522, 13, 13437, 13, 1102, 374, 7086, 1306, 4900, 7043, 16852, 59520, 11, 889, 304, 220, 9378, 23, 11, 8667, 264, 96530, 369, 279, 36330, 315, 264, 3109, 1847, 6246, 304, 279, 3158, 1990, 279, 25611, 83774, 323, 21252, 72, 36739, 11, 264, 5654, 1457, 3967, 439, 51065, 372, 278, 19934, 627, 82265, 59520, 6835, 499, 459, 25363, 30405, 3217, 11, 323, 38119, 279, 12474, 20057, 315, 30405, 9606, 315, 904, 30405, 21137, 304, 10384, 482, 449, 220, 10465, 56669, 499, 3358, 387, 8774, 13326, 9455, 1124, 682, 0, 578, 364, 16548, 4330, 6, 1101, 13980, 304, 16852, 59520, 5165, 5657, 304, 5369, 311, 1063, 315, 10384, 596, 27672, 1093, 41389, 38880, 11, 1167, 51313, 11, 8545, 5679, 11, 6409, 7304, 323, 1690, 3276, 82665, 9606, 627, 70620, 7253, 220, 15830, 12224, 9606, 527, 1766, 304, 16852, 59520, 44340, 13, 9176, 315, 1521, 45666, 2391, 279, 76214, 4038, 11, 719, 1070, 527, 1690, 430, 54068, 1618, 6957, 279, 1060, 627, 2173, 279, 16852, 59520, 596, 220, 1049, 15, 6136, 9606, 11, 220, 17014, 527, 12690, 13, 16852, 59520, 1101, 38119, 220, 1135, 2204, 57196, 323, 220, 5538, 1023, 64873, 458, 4595, 11, 439, 1664, 439, 220, 9870, 4595, 315, 56269, 13, 578, 27080, 36680, 323, 8162, 12, 76991, 527, 653, 1868, 481, 13, 128001, -100, 791, 8325, 47139, 3851, 4536, 1431, 2216, 6319, 311, 3790, 1268, 1690, 2204, 5627, 584, 617, 315, 47208, 1274, 1521, 2919, 13, 763, 4040, 433, 753, 25629, 520, 11850, 21961, 304, 264, 3254, 3786, 4441, 13, 6914, 753, 2019, 499, 3207, 4885, 449, 14596, 323, 53391, 30605, 771, 8188, 69, 13, 1472, 3708, 1124, 264, 13560, 3786, 1475, 1060, 779, 499, 1390, 2225, 315, 872, 5144, 304, 279, 1890, 3786, 13, 2030, 1243, 994, 499, 733, 311, 1650, 832, 315, 1124, 11, 499, 3207, 17011, 449, 1403, 6505, 5219, 323, 499, 649, 1431, 3371, 902, 832, 374, 902, 627, 13622, 1274, 1893, 2380, 7563, 11, 832, 369, 14596, 753, 2849, 11, 832, 369, 53391, 753, 2849, 323, 264, 4948, 449, 1124, 3871, 369, 279, 13560, 3786, 13, 1102, 753, 264, 9622, 0, 1115, 4062, 11813, 690, 1520, 499, 2567, 1124, 304, 832, 3786, 323, 3686, 2103, 3371, 1124, 10980, 13, 1472, 649, 1005, 420, 11813, 304, 88846, 477, 16433, 323, 315, 3388, 433, 4375, 304, 2225, 994, 499, 3207, 2884, 627, 791, 1193, 1523, 3185, 311, 420, 11813, 374, 430, 433, 1587, 4276, 10765, 279, 4641, 422, 499, 527, 3288, 264, 31009, 16843, 2097, 13, 3011, 10791, 757, 704, 994, 358, 3463, 358, 574, 69094, 856, 10868, 11, 994, 304, 2144, 358, 574, 69094, 813, 7555, 320, 14965, 574, 1701, 856, 80115, 753, 4641, 570, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226 ]
[ 128000, 41, 14299, 24432, 2464, 13, 220, 1049, 18, 3799, 220, 16, 26, 1954, 7, 20, 1680, 6889, 23, 12, 2131, 13, 36995, 25, 220, 605, 13, 1041, 17, 4537, 7369, 13, 7461, 5833, 627, 16, 13235, 5475, 11, 21571, 85251, 54370, 6401, 10852, 744, 11, 323, 14829, 315, 4060, 91153, 2508, 11, 6011, 315, 19152, 11, 31788, 3907, 11, 85251, 54370, 11, 7188, 220, 26576, 2371, 11, 7427, 627, 791, 8814, 32152, 12970, 6650, 8331, 8105, 320, 40, 46224, 17, 8, 323, 473, 777, 21389, 527, 7559, 24894, 311, 1855, 1023, 389, 51815, 220, 22, 80, 806, 12, 1032, 323, 527, 25455, 28787, 750, 737, 53313, 13, 1102, 374, 11846, 430, 279, 12584, 416, 7645, 315, 1521, 1403, 21389, 374, 35319, 555, 279, 11212, 315, 356, 7905, 37, 1672, 42391, 311, 3116, 2748, 19440, 15922, 21747, 79933, 6732, 304, 459, 79967, 287, 2585, 4219, 320, 1341, 49, 8, 7559, 1990, 1521, 1403, 21389, 13, 10541, 40774, 5164, 416, 750, 13605, 304, 35688, 39881, 11, 39551, 69, 17, 374, 293, 532, 273, 416, 750, 1380, 17890, 304, 279, 93643, 13, 763, 420, 4007, 11, 584, 25078, 279, 12584, 416, 15922, 21747, 79933, 323, 356, 7905, 37, 11212, 304, 279, 39551, 69, 17, 24240, 777, 79967, 287, 4219, 304, 93643, 11, 22601, 6509, 4954, 430, 279, 82102, 519, 356, 7905, 37, 11212, 439, 832, 315, 279, 24717, 11767, 311, 293, 532, 273, 416, 7645, 315, 39551, 69, 17, 304, 93643, 13, 12362, 26038, 435, 16, 24548, 320, 44, 13, 993, 2171, 355, 25000, 865, 356, 3226, 9574, 14, 21, 28585, 705, 584, 8710, 430, 304, 93643, 11, 356, 7905, 37, 11212, 6732, 304, 279, 358, 9150, 1051, 79574, 660, 24121, 389, 279, 93367, 70510, 11, 323, 356, 7905, 37, 6965, 1193, 311, 279, 38531, 42972, 660, 50150, 70510, 11, 9204, 912, 12062, 505, 279, 737, 53313, 35688, 39881, 13, 22395, 2380, 1023, 4248, 6569, 5411, 29882, 25078, 11, 13034, 606, 473, 18, 84495, 483, 220, 24, 21747, 79933, 49393, 1664, 449, 39551, 69, 17, 12584, 416, 7645, 304, 93643, 13, 4314, 3135, 4284, 430, 356, 7905, 37, 11212, 311, 279, 358, 9150, 7636, 374, 539, 14343, 311, 1672, 6468, 279, 39551, 69, 17, 50150, 66642, 323, 311, 37377, 279, 12584, 416, 7645, 315, 279, 15207, 304, 279, 93643, 11, 8617, 17436, 279, 82102, 519, 356, 7905, 37, 11212, 439, 264, 4279, 17383, 369, 6996, 315, 39551, 69, 17, 79967, 287, 304, 93643, 13, 15903, 7978, 1288, 387, 10968, 389, 279, 22654, 315, 9547, 430, 527, 6532, 304, 13034, 606, 21747, 79933, 323, 356, 7905, 37, 75968, 9547, 430, 1253, 387, 4460, 311, 16580, 39551, 69, 17, 79967, 287, 13, 128001, 128000, 44503, 8863, 5089, 2410, 15652, 198, 44503, 8863, 5089, 2410, 14091, 49686, 477, 14266, 2410, 14091, 49686, 374, 279, 1920, 304, 902, 8792, 8863, 8316, 320, 7269, 3642, 8, 25024, 20314, 4907, 11, 323, 93522, 349, 420, 4907, 2225, 555, 279, 1957, 315, 279, 28865, 7766, 13282, 304, 279, 14266, 320, 21470, 439, 1380, 380, 1105, 477, 29302, 34083, 8, 323, 555, 279, 4907, 5675, 304, 279, 1376, 315, 8798, 4245, 311, 279, 91048, 315, 279, 14683, 46121, 627, 21103, 287, 66575, 430, 2804, 9256, 30820, 2085, 72389, 1113, 374, 264, 3682, 18361, 315, 7154, 682, 14266, 17032, 311, 2457, 13, 4427, 14266, 39437, 1005, 1633, 2697, 2410, 26, 369, 3187, 11, 279, 66575, 304, 6505, 18084, 3629, 1005, 1120, 264, 2478, 72122, 315, 18200, 11, 1418, 1063, 8162, 22339, 1511, 304, 23711, 6067, 1253, 25024, 1193, 264, 2478, 2606, 38181, 21658, 477, 1524, 439, 2697, 439, 264, 2478, 19748, 654, 21658, 13, 763, 12593, 11, 66575, 304, 4689, 59338, 4443, 19002, 11, 1778, 439, 17963, 82, 323, 48985, 11, 93522, 349, 12207, 810, 2410, 1606, 315, 872, 5190, 23965, 323, 4732, 13, 4314, 8162, 19493, 8535, 66575, 1253, 25024, 2410, 304, 279, 2015, 315, 264, 2478, 72122, 311, 11758, 315, 72122, 13, 22425, 2740, 11, 4216, 66575, 11798, 449, 29302, 34083, 27073, 2410, 389, 279, 2015, 315, 1690, 15395, 363, 21658, 627, 7269, 3642, 369, 17963, 19002, 11383, 1005, 264, 5199, 13651, 315, 279, 2410, 27073, 555, 279, 6500, 13, 7089, 3682, 5829, 2997, 5043, 2835, 7563, 11, 902, 6782, 14515, 8863, 8316, 11, 323, 2410, 17135, 13, 763, 48985, 11, 279, 22745, 753, 95422, 1101, 5829, 264, 5199, 13651, 315, 8244, 2410, 13, 6104, 4907, 59085, 4519, 617, 1027, 81099, 304, 4443, 19002, 369, 994, 814, 527, 28747, 11, 279, 8244, 15652, 315, 3432, 753, 1579, 58574, 66575, 374, 24779, 13, 1115, 374, 304, 3831, 13168, 449, 279, 1790, 4827, 4907, 15652, 315, 66575, 6319, 369, 3428, 27624, 7766, 13, 3861, 1778, 14266, 11, 279, 15984, 1630, 7092, 11, 649, 1629, 520, 220, 5067, 37594, 35208, 1234, 220, 16, 468, 315, 2410, 11, 20444, 15984, 865, 4218, 6812, 37686, 304, 279, 1890, 5178, 32742, 25024, 264, 2478, 3115, 810, 4907, 627, 3947, 527, 3892, 9547, 29820, 311, 279, 14266, 2410, 15652, 26, 814, 2997, 8915, 2410, 15652, 11, 2875, 1824, 38368, 2410, 15652, 11, 323, 2410, 4814, 4245, 311, 99041, 81373, 60701, 627, 15335, 15652, 4245, 311, 81373, 2410, 69239, 988, 520, 264, 8162, 11852, 304, 1380, 380, 1105, 13, 15344, 15055, 315, 60701, 527, 2744, 36612, 1990, 279, 22009, 294, 16771, 5596, 315, 279, 99041, 13, 578, 26703, 315, 1521, 60701, 6904, 389, 279, 1614, 315, 279, 99041, 11, 1202, 15696, 11, 7106, 6012, 323, 7170, 9499, 13, 578, 2860, 3392, 315, 81373, 60701, 28335, 311, 71798, 369, 7859, 9499, 323, 44649, 99041, 12562, 627, 21279, 8915, 323, 2875, 1824, 38368, 2410, 15652, 527, 18222, 389, 279, 9042, 11900, 11, 1418, 279, 81373, 1510, 374, 18222, 389, 279, 14266, 8312, 22465, 13, 1102, 706, 1027, 6982, 430, 279, 4907, 15652, 315, 264, 2068, 5039, 67030, 4907, 7865, 11, 7438, 430, 1070, 6866, 459, 23669, 14266, 11900, 520, 902, 4907, 15652, 374, 17832, 40039, 660, 55179, 198, 91, 4977, 6459, 8651, 32715, 2410, 15652, 320, 54, 8, 7511, 91, 47, 44185, 8651, 22269, 2410, 15652, 320, 54, 8, 7511, 91, 47, 2445, 8651, 8846, 1824, 38368, 2410, 15652, 320, 54, 8, 7511, 91, 47, 273, 587, 8651, 13477, 4814, 4245, 311, 99041, 81373, 60701, 320, 54, 18419, 128001, 128000, 11076, 38052, 11, 459, 4623, 8792, 311, 45480, 596, 10334, 315, 15740, 11, 374, 1664, 7396, 555, 5361, 27271, 315, 6029, 505, 279, 5151, 315, 56104, 11, 6160, 41632, 5814, 323, 55394, 62690, 78928, 10614, 315, 7874, 1556, 346, 4720, 198, 64622, 32051, 1705, 11917, 3070, 53210, 311, 1520, 603, 3619, 1405, 584, 2586, 505, 13, 12517, 53210, 3041, 603, 13356, 389, 889, 584, 527, 323, 1520, 603, 3619, 1057, 2035, 304, 279, 1917, 304, 12976, 311, 1023, 1274, 13, 763, 2015, 311, 11917, 3070, 53210, 11, 584, 617, 311, 9522, 11076, 66004, 1990, 44304, 315, 2204, 9606, 48282, 2391, 198, 9727, 7246, 11, 304, 902, 502, 9606, 527, 9749, 505, 264, 3254, 78771, 198, 644, 41993, 34458, 11, 264, 1912, 315, 44304, 4430, 4279, 38052, 422, 814, 617, 198, 64, 22666, 362, 16287, 1296, 315, 279, 10334, 315, 20789, 4279, 66004, 320, 1032, 3297, 220, 679, 15, 4390, 32, 5526, 19347, 315, 41993, 34458, 555, 10597, 21050, 1705, 374, 430, 15740, 374, 653, 1985, 481, 1198, 323, 2533, 1296, 2968, 374, 264, 6913, 3044, 315, 12624, 26018, 11, 1521, 21050, 1705, 3987, 28592, 311, 18046, 430, 15740, 4536, 956, 2216, 8198, 304, 279, 1176, 2035, 13, 426, 23637, 1131, 4497, 125341, 644, 2144, 11, 1603, 279, 18841, 315, 279, 6070, 323, 734, 315, 15922, 11, 19546, 2167, 198, 85930, 6029, 369, 4279, 66004, 574, 12266, 13, 4800, 11, 449, 2930, 12515, 36690, 220, 17, 11, 220, 679, 20, 2564, 1115, 1615, 2841, 1614, 61108, 4279, 66004, 11, 323, 279, 2115, 315, 41993, 198, 30671, 706, 17626, 1057, 6677, 315, 48006, 12515, 24798, 279, 1920, 315, 38052, 449, 17466, 11, 279, 4279, 46831, 315, 2324, 389, 198, 1131, 15281, 922, 4279, 66004, 304, 2317, 25, 362, 7795, 315, 264, 2204, 1933, 11, 264, 3754, 12515, 92050, 369, 46969, 315, 18955, 323, 9983, 10170, 13, 356, 12119, 2786, 25, 6344, 1366, 17688, 323, 198, 18337, 13, 27766, 8423, 220, 2705, 14, 2839, 13, 7874, 1556, 346, 4720, 323, 18955, 25117, 627, 11356, 220, 1032, 11, 220, 679, 15, 2564, 26581, 4279, 66004, 320, 52, 5158, 8, 374, 264, 8792, 62307, 315, 6617, 41993, 198, 94304, 13, 1666, 1176, 12090, 555, 45480, 11, 279, 10334, 315, 549, 5158, 1153, 1220, 430, 2564, 128001, 128000, 40, 617, 1168, 4880, 953, 220, 18, 13, 23, 3974, 15667, 323, 574, 4560, 311, 4685, 433, 8800, 856, 2653, 6678, 13, 358, 1903, 264, 37345, 1355, 22473, 17071, 1701, 279, 2874, 796, 472, 291, 348, 15, 13, 19, 13, 19, 13, 578, 37345, 1355, 22473, 17071, 374, 922, 220, 2636, 3172, 323, 279, 2800, 374, 11276, 18125, 8653, 17071, 13, 666, 13213, 912, 810, 3634, 389, 856, 6678, 311, 6184, 264, 2132, 3789, 17071, 369, 37345, 13, 3277, 358, 1456, 311, 3783, 279, 37345, 1355, 22473, 17071, 358, 636, 279, 1493, 330, 791, 17071, 374, 22563, 498, 779, 358, 1456, 67, 311, 10677, 1203, 1139, 11276, 323, 636, 264, 6437, 4264, 449, 279, 1493, 220, 15, 55, 931, 931, 1507, 320, 15, 55, 25528, 17, 35, 14649, 11, 220, 15, 55, 931, 15901, 37, 11, 220, 15, 55, 931, 931, 410, 11, 220, 15, 55, 931, 931, 410, 8, 662, 2100, 1975, 358, 2231, 279, 11276, 14028, 13668, 304, 1456, 67, 311, 1629, 523, 38844, 4991, 611, 81, 323, 5155, 4722, 304, 279, 3290, 10137, 323, 433, 40464, 1095, 757, 433, 5415, 2500, 1493, 71467, 358, 16869, 6227, 13, 6984, 304, 2874, 796, 472, 291, 433, 2795, 430, 279, 37345, 1355, 22473, 17071, 374, 13326, 30, 4999, 8780, 832, 617, 904, 18726, 520, 682, 7801, 5380, 8780, 1520, 1053, 387, 917, 2171, 10234, 11, 9901, 499, 13, 77919, 2629, 128001 ]
[ -100, 41, 14299, 24432, 2464, 13, 220, 1049, 18, 3799, 220, 16, 26, 1954, 7, 20, 1680, 6889, 23, 12, 2131, 13, 36995, 25, 220, 605, 13, 1041, 17, 4537, 7369, 13, 7461, 5833, 627, 16, 13235, 5475, 11, 21571, 85251, 54370, 6401, 10852, 744, 11, 323, 14829, 315, 4060, 91153, 2508, 11, 6011, 315, 19152, 11, 31788, 3907, 11, 85251, 54370, 11, 7188, 220, 26576, 2371, 11, 7427, 627, 791, 8814, 32152, 12970, 6650, 8331, 8105, 320, 40, 46224, 17, 8, 323, 473, 777, 21389, 527, 7559, 24894, 311, 1855, 1023, 389, 51815, 220, 22, 80, 806, 12, 1032, 323, 527, 25455, 28787, 750, 737, 53313, 13, 1102, 374, 11846, 430, 279, 12584, 416, 7645, 315, 1521, 1403, 21389, 374, 35319, 555, 279, 11212, 315, 356, 7905, 37, 1672, 42391, 311, 3116, 2748, 19440, 15922, 21747, 79933, 6732, 304, 459, 79967, 287, 2585, 4219, 320, 1341, 49, 8, 7559, 1990, 1521, 1403, 21389, 13, 10541, 40774, 5164, 416, 750, 13605, 304, 35688, 39881, 11, 39551, 69, 17, 374, 293, 532, 273, 416, 750, 1380, 17890, 304, 279, 93643, 13, 763, 420, 4007, 11, 584, 25078, 279, 12584, 416, 15922, 21747, 79933, 323, 356, 7905, 37, 11212, 304, 279, 39551, 69, 17, 24240, 777, 79967, 287, 4219, 304, 93643, 11, 22601, 6509, 4954, 430, 279, 82102, 519, 356, 7905, 37, 11212, 439, 832, 315, 279, 24717, 11767, 311, 293, 532, 273, 416, 7645, 315, 39551, 69, 17, 304, 93643, 13, 12362, 26038, 435, 16, 24548, 320, 44, 13, 993, 2171, 355, 25000, 865, 356, 3226, 9574, 14, 21, 28585, 705, 584, 8710, 430, 304, 93643, 11, 356, 7905, 37, 11212, 6732, 304, 279, 358, 9150, 1051, 79574, 660, 24121, 389, 279, 93367, 70510, 11, 323, 356, 7905, 37, 6965, 1193, 311, 279, 38531, 42972, 660, 50150, 70510, 11, 9204, 912, 12062, 505, 279, 737, 53313, 35688, 39881, 13, 22395, 2380, 1023, 4248, 6569, 5411, 29882, 25078, 11, 13034, 606, 473, 18, 84495, 483, 220, 24, 21747, 79933, 49393, 1664, 449, 39551, 69, 17, 12584, 416, 7645, 304, 93643, 13, 4314, 3135, 4284, 430, 356, 7905, 37, 11212, 311, 279, 358, 9150, 7636, 374, 539, 14343, 311, 1672, 6468, 279, 39551, 69, 17, 50150, 66642, 323, 311, 37377, 279, 12584, 416, 7645, 315, 279, 15207, 304, 279, 93643, 11, 8617, 17436, 279, 82102, 519, 356, 7905, 37, 11212, 439, 264, 4279, 17383, 369, 6996, 315, 39551, 69, 17, 79967, 287, 304, 93643, 13, 15903, 7978, 1288, 387, 10968, 389, 279, 22654, 315, 9547, 430, 527, 6532, 304, 13034, 606, 21747, 79933, 323, 356, 7905, 37, 75968, 9547, 430, 1253, 387, 4460, 311, 16580, 39551, 69, 17, 79967, 287, 13, 128001, -100, 44503, 8863, 5089, 2410, 15652, 198, 44503, 8863, 5089, 2410, 14091, 49686, 477, 14266, 2410, 14091, 49686, 374, 279, 1920, 304, 902, 8792, 8863, 8316, 320, 7269, 3642, 8, 25024, 20314, 4907, 11, 323, 93522, 349, 420, 4907, 2225, 555, 279, 1957, 315, 279, 28865, 7766, 13282, 304, 279, 14266, 320, 21470, 439, 1380, 380, 1105, 477, 29302, 34083, 8, 323, 555, 279, 4907, 5675, 304, 279, 1376, 315, 8798, 4245, 311, 279, 91048, 315, 279, 14683, 46121, 627, 21103, 287, 66575, 430, 2804, 9256, 30820, 2085, 72389, 1113, 374, 264, 3682, 18361, 315, 7154, 682, 14266, 17032, 311, 2457, 13, 4427, 14266, 39437, 1005, 1633, 2697, 2410, 26, 369, 3187, 11, 279, 66575, 304, 6505, 18084, 3629, 1005, 1120, 264, 2478, 72122, 315, 18200, 11, 1418, 1063, 8162, 22339, 1511, 304, 23711, 6067, 1253, 25024, 1193, 264, 2478, 2606, 38181, 21658, 477, 1524, 439, 2697, 439, 264, 2478, 19748, 654, 21658, 13, 763, 12593, 11, 66575, 304, 4689, 59338, 4443, 19002, 11, 1778, 439, 17963, 82, 323, 48985, 11, 93522, 349, 12207, 810, 2410, 1606, 315, 872, 5190, 23965, 323, 4732, 13, 4314, 8162, 19493, 8535, 66575, 1253, 25024, 2410, 304, 279, 2015, 315, 264, 2478, 72122, 311, 11758, 315, 72122, 13, 22425, 2740, 11, 4216, 66575, 11798, 449, 29302, 34083, 27073, 2410, 389, 279, 2015, 315, 1690, 15395, 363, 21658, 627, 7269, 3642, 369, 17963, 19002, 11383, 1005, 264, 5199, 13651, 315, 279, 2410, 27073, 555, 279, 6500, 13, 7089, 3682, 5829, 2997, 5043, 2835, 7563, 11, 902, 6782, 14515, 8863, 8316, 11, 323, 2410, 17135, 13, 763, 48985, 11, 279, 22745, 753, 95422, 1101, 5829, 264, 5199, 13651, 315, 8244, 2410, 13, 6104, 4907, 59085, 4519, 617, 1027, 81099, 304, 4443, 19002, 369, 994, 814, 527, 28747, 11, 279, 8244, 15652, 315, 3432, 753, 1579, 58574, 66575, 374, 24779, 13, 1115, 374, 304, 3831, 13168, 449, 279, 1790, 4827, 4907, 15652, 315, 66575, 6319, 369, 3428, 27624, 7766, 13, 3861, 1778, 14266, 11, 279, 15984, 1630, 7092, 11, 649, 1629, 520, 220, 5067, 37594, 35208, 1234, 220, 16, 468, 315, 2410, 11, 20444, 15984, 865, 4218, 6812, 37686, 304, 279, 1890, 5178, 32742, 25024, 264, 2478, 3115, 810, 4907, 627, 3947, 527, 3892, 9547, 29820, 311, 279, 14266, 2410, 15652, 26, 814, 2997, 8915, 2410, 15652, 11, 2875, 1824, 38368, 2410, 15652, 11, 323, 2410, 4814, 4245, 311, 99041, 81373, 60701, 627, 15335, 15652, 4245, 311, 81373, 2410, 69239, 988, 520, 264, 8162, 11852, 304, 1380, 380, 1105, 13, 15344, 15055, 315, 60701, 527, 2744, 36612, 1990, 279, 22009, 294, 16771, 5596, 315, 279, 99041, 13, 578, 26703, 315, 1521, 60701, 6904, 389, 279, 1614, 315, 279, 99041, 11, 1202, 15696, 11, 7106, 6012, 323, 7170, 9499, 13, 578, 2860, 3392, 315, 81373, 60701, 28335, 311, 71798, 369, 7859, 9499, 323, 44649, 99041, 12562, 627, 21279, 8915, 323, 2875, 1824, 38368, 2410, 15652, 527, 18222, 389, 279, 9042, 11900, 11, 1418, 279, 81373, 1510, 374, 18222, 389, 279, 14266, 8312, 22465, 13, 1102, 706, 1027, 6982, 430, 279, 4907, 15652, 315, 264, 2068, 5039, 67030, 4907, 7865, 11, 7438, 430, 1070, 6866, 459, 23669, 14266, 11900, 520, 902, 4907, 15652, 374, 17832, 40039, 660, 55179, 198, 91, 4977, 6459, 8651, 32715, 2410, 15652, 320, 54, 8, 7511, 91, 47, 44185, 8651, 22269, 2410, 15652, 320, 54, 8, 7511, 91, 47, 2445, 8651, 8846, 1824, 38368, 2410, 15652, 320, 54, 8, 7511, 91, 47, 273, 587, 8651, 13477, 4814, 4245, 311, 99041, 81373, 60701, 320, 54, 18419, 128001, -100, 11076, 38052, 11, 459, 4623, 8792, 311, 45480, 596, 10334, 315, 15740, 11, 374, 1664, 7396, 555, 5361, 27271, 315, 6029, 505, 279, 5151, 315, 56104, 11, 6160, 41632, 5814, 323, 55394, 62690, 78928, 10614, 315, 7874, 1556, 346, 4720, 198, 64622, 32051, 1705, 11917, 3070, 53210, 311, 1520, 603, 3619, 1405, 584, 2586, 505, 13, 12517, 53210, 3041, 603, 13356, 389, 889, 584, 527, 323, 1520, 603, 3619, 1057, 2035, 304, 279, 1917, 304, 12976, 311, 1023, 1274, 13, 763, 2015, 311, 11917, 3070, 53210, 11, 584, 617, 311, 9522, 11076, 66004, 1990, 44304, 315, 2204, 9606, 48282, 2391, 198, 9727, 7246, 11, 304, 902, 502, 9606, 527, 9749, 505, 264, 3254, 78771, 198, 644, 41993, 34458, 11, 264, 1912, 315, 44304, 4430, 4279, 38052, 422, 814, 617, 198, 64, 22666, 362, 16287, 1296, 315, 279, 10334, 315, 20789, 4279, 66004, 320, 1032, 3297, 220, 679, 15, 4390, 32, 5526, 19347, 315, 41993, 34458, 555, 10597, 21050, 1705, 374, 430, 15740, 374, 653, 1985, 481, 1198, 323, 2533, 1296, 2968, 374, 264, 6913, 3044, 315, 12624, 26018, 11, 1521, 21050, 1705, 3987, 28592, 311, 18046, 430, 15740, 4536, 956, 2216, 8198, 304, 279, 1176, 2035, 13, 426, 23637, 1131, 4497, 125341, 644, 2144, 11, 1603, 279, 18841, 315, 279, 6070, 323, 734, 315, 15922, 11, 19546, 2167, 198, 85930, 6029, 369, 4279, 66004, 574, 12266, 13, 4800, 11, 449, 2930, 12515, 36690, 220, 17, 11, 220, 679, 20, 2564, 1115, 1615, 2841, 1614, 61108, 4279, 66004, 11, 323, 279, 2115, 315, 41993, 198, 30671, 706, 17626, 1057, 6677, 315, 48006, 12515, 24798, 279, 1920, 315, 38052, 449, 17466, 11, 279, 4279, 46831, 315, 2324, 389, 198, 1131, 15281, 922, 4279, 66004, 304, 2317, 25, 362, 7795, 315, 264, 2204, 1933, 11, 264, 3754, 12515, 92050, 369, 46969, 315, 18955, 323, 9983, 10170, 13, 356, 12119, 2786, 25, 6344, 1366, 17688, 323, 198, 18337, 13, 27766, 8423, 220, 2705, 14, 2839, 13, 7874, 1556, 346, 4720, 323, 18955, 25117, 627, 11356, 220, 1032, 11, 220, 679, 15, 2564, 26581, 4279, 66004, 320, 52, 5158, 8, 374, 264, 8792, 62307, 315, 6617, 41993, 198, 94304, 13, 1666, 1176, 12090, 555, 45480, 11, 279, 10334, 315, 549, 5158, 1153, 1220, 430, 2564, 128001, -100, 40, 617, 1168, 4880, 953, 220, 18, 13, 23, 3974, 15667, 323, 574, 4560, 311, 4685, 433, 8800, 856, 2653, 6678, 13, 358, 1903, 264, 37345, 1355, 22473, 17071, 1701, 279, 2874, 796, 472, 291, 348, 15, 13, 19, 13, 19, 13, 578, 37345, 1355, 22473, 17071, 374, 922, 220, 2636, 3172, 323, 279, 2800, 374, 11276, 18125, 8653, 17071, 13, 666, 13213, 912, 810, 3634, 389, 856, 6678, 311, 6184, 264, 2132, 3789, 17071, 369, 37345, 13, 3277, 358, 1456, 311, 3783, 279, 37345, 1355, 22473, 17071, 358, 636, 279, 1493, 330, 791, 17071, 374, 22563, 498, 779, 358, 1456, 67, 311, 10677, 1203, 1139, 11276, 323, 636, 264, 6437, 4264, 449, 279, 1493, 220, 15, 55, 931, 931, 1507, 320, 15, 55, 25528, 17, 35, 14649, 11, 220, 15, 55, 931, 15901, 37, 11, 220, 15, 55, 931, 931, 410, 11, 220, 15, 55, 931, 931, 410, 8, 662, 2100, 1975, 358, 2231, 279, 11276, 14028, 13668, 304, 1456, 67, 311, 1629, 523, 38844, 4991, 611, 81, 323, 5155, 4722, 304, 279, 3290, 10137, 323, 433, 40464, 1095, 757, 433, 5415, 2500, 1493, 71467, 358, 16869, 6227, 13, 6984, 304, 2874, 796, 472, 291, 433, 2795, 430, 279, 37345, 1355, 22473, 17071, 374, 13326, 30, 4999, 8780, 832, 617, 904, 18726, 520, 682, 7801, 5380, 8780, 1520, 1053, 387, 917, 2171, 10234, 11, 9901, 499, 13, 77919, 2629, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231 ]
[ 128000, 12, 5858, 965, 77993, 40702, 3651, 88520, 49, 1111, 13575, 41447, 8143, 22545, 3083, 32612, 1953, 43752, 92010, 3651, 100028, 3083, 65528, 2006, 6570, 12173, 1600, 1777, 4577, 13575, 3247, 386, 7704, 3083, 650, 965, 5604, 7, 103297, 101454, 100890, 34190, 100528, 111611, 106364, 11, 220, 2366, 17, 12, 2589, 12, 508, 8, 24852, 1003, 11, 44020, 2059, 37971, 596, 578, 56499, 315, 56750, 5655, 729, 279, 10597, 12324, 315, 279, 659, 323, 279, 1023, 555, 279, 16781, 1005, 315, 10597, 6300, 5144, 311, 16805, 279, 9764, 315, 42482, 753, 5885, 323, 279, 1005, 315, 10597, 3878, 315, 2686, 311, 1501, 872, 18324, 2949, 279, 18732, 295, 1122, 8396, 13, 4452, 11, 994, 1521, 6300, 5144, 527, 25548, 1139, 279, 1023, 320, 7098, 69391, 4221, 323, 7829, 11, 304, 420, 1162, 705, 814, 3719, 279, 1023, 315, 279, 1023, 13, 4314, 6300, 5144, 323, 3878, 315, 2686, 617, 279, 22654, 323, 18324, 315, 279, 659, 13, 3296, 7366, 1124, 11, 304, 279, 1180, 315, 14807, 11, 311, 279, 1023, 753, 4676, 11, 814, 3719, 20167, 2225, 311, 279, 1023, 323, 311, 279, 659, 304, 279, 25548, 1495, 13, 1115, 17850, 706, 25351, 3177, 389, 279, 14807, 315, 10597, 6300, 5144, 323, 3878, 315, 2686, 505, 659, 320, 790, 8, 311, 279, 1023, 320, 15249, 705, 323, 706, 5068, 1268, 279, 73804, 529, 11709, 315, 67371, 6300, 5144, 323, 3878, 315, 2686, 11754, 279, 4113, 1495, 315, 578, 56499, 315, 56750, 439, 279, 659, 323, 279, 10989, 10877, 439, 279, 1023, 13, 2956, 1051, 14890, 505, 578, 56499, 315, 56750, 323, 1403, 315, 37793, 315, 279, 1514, 25, 52709, 321, 32328, 6713, 753, 323, 65552, 2998, 5676, 753, 37793, 13, 53176, 6300, 5144, 1051, 30239, 3196, 389, 61338, 753, 14807, 1646, 315, 6300, 5144, 14807, 13, 763, 13168, 11, 10597, 3878, 315, 2686, 1051, 30239, 3196, 389, 21016, 352, 323, 15367, 9978, 4816, 753, 1646, 13, 56619, 18306, 14, 2656, 304, 67371, 10597, 6300, 5144, 323, 3878, 315, 2686, 14918, 8272, 279, 8244, 1749, 1511, 304, 14807, 315, 279, 4459, 1495, 25, 18732, 32973, 596, 13018, 367, 477, 7362, 2065, 13, 5422, 4339, 25, 4149, 30756, 26, 10597, 26, 5144, 3878, 315, 2686, 26, 42482, 753, 279, 56499, 315, 56750, 627, 12, 5858, 3246, 75, 1113, 21424, 15341, 11654, 304, 279, 35217, 7972, 7, 2127, 11500, 1662, 1494, 5165, 3907, 11, 220, 679, 23, 12, 806, 12, 2589, 8, 507, 1395, 307, 11, 350, 15589, 87423, 374, 279, 1455, 11495, 10775, 682, 927, 279, 1917, 13, 74418, 315, 1274, 1514, 433, 11, 1833, 1202, 9248, 11, 323, 15253, 279, 4311, 323, 872, 7411, 13, 15341, 11654, 1514, 459, 3062, 3560, 304, 7859, 1202, 23354, 323, 20723, 2533, 1202, 7359, 3041, 16370, 11654, 311, 279, 4248, 950, 323, 2254, 9248, 1990, 35938, 13, 23674, 11, 16370, 11654, 527, 2728, 311, 279, 4311, 11, 24909, 11, 7411, 11, 19424, 323, 90184, 13, 763, 5369, 11, 1690, 9141, 14079, 4455, 527, 2728, 3361, 16370, 11654, 13, 7817, 323, 79136, 1749, 1051, 8272, 304, 38936, 279, 5133, 1990, 16370, 11654, 323, 7829, 2533, 16370, 11654, 8464, 311, 279, 7829, 315, 279, 90234, 5502, 323, 3041, 264, 2539, 4096, 315, 1202, 8903, 13, 23674, 11, 279, 4007, 49095, 279, 15174, 430, 279, 73804, 1005, 304, 77847, 3252, 279, 13225, 1990, 279, 17216, 323, 30715, 27833, 11, 430, 20682, 279, 30715, 6742, 311, 58389, 279, 7438, 315, 279, 30499, 323, 279, 1984, 430, 433, 390, 18790, 13, 18591, 315, 279, 3495, 1501, 430, 73804, 1005, 5370, 15174, 11, 5423, 12215, 37822, 323, 24016, 37793, 13, 4314, 15174, 5353, 264, 4814, 304, 7438, 323, 649, 539, 7431, 279, 30715, 6742, 311, 15641, 279, 2539, 2217, 439, 433, 374, 304, 279, 17216, 13, 1952, 279, 1023, 1450, 11, 35217, 374, 41772, 449, 1690, 7362, 3878, 1606, 315, 1701, 32139, 323, 12215, 2058, 1113, 15174, 4619, 315, 1701, 459, 35217, 13890, 13, 17830, 11, 279, 32185, 40912, 311, 1833, 2204, 15174, 11, 1778, 439, 279, 48293, 36324, 323, 279, 6057, 1413, 430, 7431, 279, 46588, 311, 10552, 323, 38263, 279, 30499, 304, 279, 1648, 430, 20682, 279, 30715, 6742, 311, 3619, 279, 7438, 323, 15641, 279, 8340, 1984, 627, 12, 5858, 3246, 75, 1113, 20163, 315, 15558, 38943, 25, 362, 14582, 62114, 19723, 4233, 37406, 10196, 93391, 11529, 2836, 65552, 362, 6684, 80, 11, 220, 679, 24, 12, 2705, 12, 777, 8, 362, 6684, 80, 11, 24172, 80, 10196, 2028, 4007, 49095, 279, 1920, 315, 67371, 3878, 315, 15558, 18112, 505, 35217, 1139, 6498, 323, 17192, 46391, 13, 14853, 6498, 6603, 922, 15558, 18112, 527, 27313, 11, 304, 5369, 311, 35217, 25548, 11028, 315, 1403, 315, 1124, 13, 578, 14807, 15174, 1511, 304, 1521, 22755, 527, 10666, 311, 10552, 1268, 279, 30715, 24282, 5353, 5435, 304, 1879, 2461, 13, 41333, 86106, 89522, 264, 30715, 1879, 902, 44642, 505, 279, 4113, 304, 1202, 2955, 477, 734, 13, 7648, 315, 279, 28887, 6996, 279, 1879, 596, 907, 11, 902, 374, 1202, 35947, 4668, 13, 2435, 527, 31715, 369, 279, 6742, 11, 439, 814, 656, 539, 7431, 1461, 39007, 311, 89522, 279, 10825, 2449, 13, 578, 25078, 22755, 1101, 1501, 1005, 315, 1380, 2251, 8446, 11, 1524, 3582, 279, 12215, 51586, 4751, 1587, 539, 734, 304, 279, 30715, 7829, 13, 1115, 4007, 13533, 311, 3881, 90558, 22050, 318, 596, 1646, 315, 5347, 62114, 14807, 11, 28858, 16233, 1892, 554, 596, 7434, 315, 279, 1879, 596, 907, 311, 8356, 37793, 902, 1520, 279, 6742, 311, 45493, 459, 13687, 44901, 2217, 315, 279, 23217, 1879, 13, 1115, 4007, 1101, 15151, 430, 1521, 5435, 527, 63368, 994, 67371, 279, 6498, 24282, 1203, 1139, 35217, 13, 4149, 75, 3046, 1288, 1005, 279, 4113, 35217, 3878, 20011, 311, 89522, 1521, 12195, 4619, 315, 19486, 14807, 15174, 439, 422, 12195, 315, 15558, 18112, 1051, 7362, 311, 279, 35217, 65767, 4029, 627, 12, 5858, 14126, 40356, 304, 13257, 39141, 315, 38130, 63711, 2991, 82, 505, 6498, 311, 35217, 25, 578, 11799, 315, 5195, 38840, 11135, 29718, 96757, 1708, 675, 26474, 11, 220, 679, 24, 12, 2304, 12, 845, 8, 1708, 675, 26474, 11, 21296, 276, 22333, 14807, 706, 39441, 1202, 20282, 17693, 304, 3495, 31576, 2533, 433, 9221, 279, 1176, 12576, 369, 20237, 304, 420, 11639, 315, 330, 9951, 2065, 3343, 14636, 11, 279, 3118, 3495, 41424, 279, 5789, 315, 15374, 14, 755, 10603, 304, 5195, 38840, 5178, 304, 12624, 24156, 22755, 14807, 505, 6498, 311, 35217, 13, 4497, 11951, 11, 279, 3495, 22262, 311, 1296, 12177, 5178, 520, 1403, 5990, 25, 11914, 323, 14646, 5990, 13, 14636, 11, 17810, 8350, 753, 14807, 29735, 320, 5162, 20, 705, 11166, 49978, 323, 60777, 596, 1646, 315, 87516, 7766, 320, 4468, 21, 8, 323, 4595, 315, 43743, 14134, 1511, 304, 12624, 22755, 527, 279, 1925, 7526, 1511, 311, 11913, 12177, 2612, 13, 17830, 11, 279, 32185, 13865, 311, 30714, 10105, 369, 279, 6103, 23926, 311, 18885, 12177, 5178, 304, 420, 4040, 1495, 955, 311, 1520, 12177, 8356, 37793, 449, 1579, 13708, 7969, 627, 12, 5858, 1305, 2492, 315, 14123, 2508, 304, 68211, 88161, 4149, 30756, 25, 362, 35761, 11997, 5366, 18825, 315, 4427, 63187, 7, 2059, 2706, 64, 529, 21296, 6729, 1708, 11529, 276, 6729, 11, 220, 679, 23, 12, 2437, 12, 2304, 8, 1708, 11529, 276, 6729, 11, 1443, 2706, 64, 529, 2028, 3495, 13865, 311, 13488, 279, 2515, 315, 73804, 6, 34649, 389, 279, 14807, 315, 279, 19229, 68211, 88161, 13, 2057, 11322, 1202, 842, 11, 279, 4007, 34744, 389, 264, 9200, 41602, 6492, 315, 46392, 1666, 329, 753, 578, 4961, 315, 279, 68211, 88161, 320, 3753, 15, 8, 323, 46392, 14925, 753, 6498, 39141, 323, 73544, 315, 578, 19229, 68211, 88161, 320, 4468, 18, 570, 578, 1403, 6603, 527, 30239, 323, 7863, 389, 279, 8197, 315, 872, 14807, 315, 264, 1396, 315, 68211, 529, 32370, 22100, 26, 32125, 14603, 18709, 11, 7568, 645, 11, 44451, 11, 1708, 503, 6258, 323, 1708, 23109, 529, 69243, 13, 1789, 1855, 7057, 264, 1396, 315, 18740, 10507, 527, 2728, 505, 2225, 37793, 13, 578, 4007, 5039, 430, 2225, 73804, 1051, 70903, 73967, 872, 89971, 439, 21356, 13605, 555, 872, 78686, 11709, 13, 46392, 1666, 329, 574, 28160, 555, 813, 15130, 1431, 1394, 10746, 753, 34649, 323, 555, 279, 36182, 5364, 84, 1431, 1394, 10746, 12678, 46392, 3765, 1072, 323, 60483, 307, 45995, 4317, 13, 763, 5369, 11, 279, 1648, 568, 25548, 1063, 19476, 27053, 813, 21463, 439, 264, 13653, 1732, 1603, 34537, 311, 15256, 13, 578, 4007, 1101, 5039, 430, 46392, 14925, 753, 4879, 311, 25442, 553, 71912, 574, 28160, 555, 813, 1229, 10272, 72, 83258, 11, 902, 19168, 311, 10383, 279, 8830, 315, 279, 50800, 315, 279, 19229, 68211, 88161, 11, 5423, 4315, 2536, 482, 7098, 69391, 13016, 889, 9855, 430, 1521, 37793, 527, 13513, 323, 6721, 13, 65514, 527, 810, 4461, 311, 11142, 279, 73804, 529, 2679, 30450, 1474, 354, 55786, 1917, 1684, 902, 1253, 43561, 279, 837, 15558, 44901, 8200, 11, 5423, 422, 279, 13016, 527, 539, 8010, 315, 279, 73804, 529, 36576, 13, 763, 279, 842, 11, 279, 4007, 6835, 1063, 26793, 315, 1268, 311, 636, 1139, 264, 810, 37513, 323, 13513, 14807, 315, 279, 68211, 88161, 13, 128001, 128000, 43, 17872, 21456, 28163, 6944, 311, 1440, 11, 330, 3923, 374, 279, 6300, 11766, 994, 24090, 315, 279, 20754, 5292, 30, 2209, 433, 279, 1890, 439, 279, 549, 815, 13, 5292, 7673, 7839, 3488, 627, 12834, 584, 527, 7556, 922, 6300, 11766, 11, 433, 596, 3062, 311, 1440, 430, 279, 6300, 836, 369, 279, 3778, 5292, 374, 330, 791, 23497, 315, 279, 3723, 4273, 315, 5270, 10246, 791, 3723, 4273, 23497, 6247, 374, 279, 330, 13233, 2363, 1, 369, 6300, 5292, 34545, 13, 549, 815, 13, 23497, 6247, 374, 264, 6918, 2383, 11, 3582, 433, 374, 539, 13882, 45421, 627, 791, 2082, 2795, 11, 330, 4599, 264, 5292, 374, 779, 259, 22688, 430, 433, 649, 912, 5129, 8854, 439, 264, 7891, 315, 279, 3723, 4273, 11, 433, 1288, 387, 14763, 304, 264, 28677, 1908, 11827, 11, 52754, 555, 20252, 10246, 791, 3778, 40935, 11, 16576, 70407, 11, 11617, 70407, 323, 1023, 11351, 15870, 6929, 5292, 1481, 54444, 60283, 11, 3629, 389, 23497, 6187, 11, 5651, 220, 975, 627, 644, 24886, 311, 279, 20754, 5292, 11, 1070, 374, 912, 4033, 330, 10104, 2082, 1, 323, 912, 6918, 7016, 58499, 1202, 34545, 13, 2030, 1070, 374, 912, 11682, 304, 2768, 279, 2082, 369, 279, 1614, 5292, 627, 11764, 701, 1695, 4860, 311, 49293, 73737, 36587, 2726, 13, 128001 ]
[ -100, 12, 5858, 965, 77993, 40702, 3651, 88520, 49, 1111, 13575, 41447, 8143, 22545, 3083, 32612, 1953, 43752, 92010, 3651, 100028, 3083, 65528, 2006, 6570, 12173, 1600, 1777, 4577, 13575, 3247, 386, 7704, 3083, 650, 965, 5604, 7, 103297, 101454, 100890, 34190, 100528, 111611, 106364, 11, 220, 2366, 17, 12, 2589, 12, 508, 8, 24852, 1003, 11, 44020, 2059, 37971, 596, 578, 56499, 315, 56750, 5655, 729, 279, 10597, 12324, 315, 279, 659, 323, 279, 1023, 555, 279, 16781, 1005, 315, 10597, 6300, 5144, 311, 16805, 279, 9764, 315, 42482, 753, 5885, 323, 279, 1005, 315, 10597, 3878, 315, 2686, 311, 1501, 872, 18324, 2949, 279, 18732, 295, 1122, 8396, 13, 4452, 11, 994, 1521, 6300, 5144, 527, 25548, 1139, 279, 1023, 320, 7098, 69391, 4221, 323, 7829, 11, 304, 420, 1162, 705, 814, 3719, 279, 1023, 315, 279, 1023, 13, 4314, 6300, 5144, 323, 3878, 315, 2686, 617, 279, 22654, 323, 18324, 315, 279, 659, 13, 3296, 7366, 1124, 11, 304, 279, 1180, 315, 14807, 11, 311, 279, 1023, 753, 4676, 11, 814, 3719, 20167, 2225, 311, 279, 1023, 323, 311, 279, 659, 304, 279, 25548, 1495, 13, 1115, 17850, 706, 25351, 3177, 389, 279, 14807, 315, 10597, 6300, 5144, 323, 3878, 315, 2686, 505, 659, 320, 790, 8, 311, 279, 1023, 320, 15249, 705, 323, 706, 5068, 1268, 279, 73804, 529, 11709, 315, 67371, 6300, 5144, 323, 3878, 315, 2686, 11754, 279, 4113, 1495, 315, 578, 56499, 315, 56750, 439, 279, 659, 323, 279, 10989, 10877, 439, 279, 1023, 13, 2956, 1051, 14890, 505, 578, 56499, 315, 56750, 323, 1403, 315, 37793, 315, 279, 1514, 25, 52709, 321, 32328, 6713, 753, 323, 65552, 2998, 5676, 753, 37793, 13, 53176, 6300, 5144, 1051, 30239, 3196, 389, 61338, 753, 14807, 1646, 315, 6300, 5144, 14807, 13, 763, 13168, 11, 10597, 3878, 315, 2686, 1051, 30239, 3196, 389, 21016, 352, 323, 15367, 9978, 4816, 753, 1646, 13, 56619, 18306, 14, 2656, 304, 67371, 10597, 6300, 5144, 323, 3878, 315, 2686, 14918, 8272, 279, 8244, 1749, 1511, 304, 14807, 315, 279, 4459, 1495, 25, 18732, 32973, 596, 13018, 367, 477, 7362, 2065, 13, 5422, 4339, 25, 4149, 30756, 26, 10597, 26, 5144, 3878, 315, 2686, 26, 42482, 753, 279, 56499, 315, 56750, 627, 12, 5858, 3246, 75, 1113, 21424, 15341, 11654, 304, 279, 35217, 7972, 7, 2127, 11500, 1662, 1494, 5165, 3907, 11, 220, 679, 23, 12, 806, 12, 2589, 8, 507, 1395, 307, 11, 350, 15589, 87423, 374, 279, 1455, 11495, 10775, 682, 927, 279, 1917, 13, 74418, 315, 1274, 1514, 433, 11, 1833, 1202, 9248, 11, 323, 15253, 279, 4311, 323, 872, 7411, 13, 15341, 11654, 1514, 459, 3062, 3560, 304, 7859, 1202, 23354, 323, 20723, 2533, 1202, 7359, 3041, 16370, 11654, 311, 279, 4248, 950, 323, 2254, 9248, 1990, 35938, 13, 23674, 11, 16370, 11654, 527, 2728, 311, 279, 4311, 11, 24909, 11, 7411, 11, 19424, 323, 90184, 13, 763, 5369, 11, 1690, 9141, 14079, 4455, 527, 2728, 3361, 16370, 11654, 13, 7817, 323, 79136, 1749, 1051, 8272, 304, 38936, 279, 5133, 1990, 16370, 11654, 323, 7829, 2533, 16370, 11654, 8464, 311, 279, 7829, 315, 279, 90234, 5502, 323, 3041, 264, 2539, 4096, 315, 1202, 8903, 13, 23674, 11, 279, 4007, 49095, 279, 15174, 430, 279, 73804, 1005, 304, 77847, 3252, 279, 13225, 1990, 279, 17216, 323, 30715, 27833, 11, 430, 20682, 279, 30715, 6742, 311, 58389, 279, 7438, 315, 279, 30499, 323, 279, 1984, 430, 433, 390, 18790, 13, 18591, 315, 279, 3495, 1501, 430, 73804, 1005, 5370, 15174, 11, 5423, 12215, 37822, 323, 24016, 37793, 13, 4314, 15174, 5353, 264, 4814, 304, 7438, 323, 649, 539, 7431, 279, 30715, 6742, 311, 15641, 279, 2539, 2217, 439, 433, 374, 304, 279, 17216, 13, 1952, 279, 1023, 1450, 11, 35217, 374, 41772, 449, 1690, 7362, 3878, 1606, 315, 1701, 32139, 323, 12215, 2058, 1113, 15174, 4619, 315, 1701, 459, 35217, 13890, 13, 17830, 11, 279, 32185, 40912, 311, 1833, 2204, 15174, 11, 1778, 439, 279, 48293, 36324, 323, 279, 6057, 1413, 430, 7431, 279, 46588, 311, 10552, 323, 38263, 279, 30499, 304, 279, 1648, 430, 20682, 279, 30715, 6742, 311, 3619, 279, 7438, 323, 15641, 279, 8340, 1984, 627, 12, 5858, 3246, 75, 1113, 20163, 315, 15558, 38943, 25, 362, 14582, 62114, 19723, 4233, 37406, 10196, 93391, 11529, 2836, 65552, 362, 6684, 80, 11, 220, 679, 24, 12, 2705, 12, 777, 8, 362, 6684, 80, 11, 24172, 80, 10196, 2028, 4007, 49095, 279, 1920, 315, 67371, 3878, 315, 15558, 18112, 505, 35217, 1139, 6498, 323, 17192, 46391, 13, 14853, 6498, 6603, 922, 15558, 18112, 527, 27313, 11, 304, 5369, 311, 35217, 25548, 11028, 315, 1403, 315, 1124, 13, 578, 14807, 15174, 1511, 304, 1521, 22755, 527, 10666, 311, 10552, 1268, 279, 30715, 24282, 5353, 5435, 304, 1879, 2461, 13, 41333, 86106, 89522, 264, 30715, 1879, 902, 44642, 505, 279, 4113, 304, 1202, 2955, 477, 734, 13, 7648, 315, 279, 28887, 6996, 279, 1879, 596, 907, 11, 902, 374, 1202, 35947, 4668, 13, 2435, 527, 31715, 369, 279, 6742, 11, 439, 814, 656, 539, 7431, 1461, 39007, 311, 89522, 279, 10825, 2449, 13, 578, 25078, 22755, 1101, 1501, 1005, 315, 1380, 2251, 8446, 11, 1524, 3582, 279, 12215, 51586, 4751, 1587, 539, 734, 304, 279, 30715, 7829, 13, 1115, 4007, 13533, 311, 3881, 90558, 22050, 318, 596, 1646, 315, 5347, 62114, 14807, 11, 28858, 16233, 1892, 554, 596, 7434, 315, 279, 1879, 596, 907, 311, 8356, 37793, 902, 1520, 279, 6742, 311, 45493, 459, 13687, 44901, 2217, 315, 279, 23217, 1879, 13, 1115, 4007, 1101, 15151, 430, 1521, 5435, 527, 63368, 994, 67371, 279, 6498, 24282, 1203, 1139, 35217, 13, 4149, 75, 3046, 1288, 1005, 279, 4113, 35217, 3878, 20011, 311, 89522, 1521, 12195, 4619, 315, 19486, 14807, 15174, 439, 422, 12195, 315, 15558, 18112, 1051, 7362, 311, 279, 35217, 65767, 4029, 627, 12, 5858, 14126, 40356, 304, 13257, 39141, 315, 38130, 63711, 2991, 82, 505, 6498, 311, 35217, 25, 578, 11799, 315, 5195, 38840, 11135, 29718, 96757, 1708, 675, 26474, 11, 220, 679, 24, 12, 2304, 12, 845, 8, 1708, 675, 26474, 11, 21296, 276, 22333, 14807, 706, 39441, 1202, 20282, 17693, 304, 3495, 31576, 2533, 433, 9221, 279, 1176, 12576, 369, 20237, 304, 420, 11639, 315, 330, 9951, 2065, 3343, 14636, 11, 279, 3118, 3495, 41424, 279, 5789, 315, 15374, 14, 755, 10603, 304, 5195, 38840, 5178, 304, 12624, 24156, 22755, 14807, 505, 6498, 311, 35217, 13, 4497, 11951, 11, 279, 3495, 22262, 311, 1296, 12177, 5178, 520, 1403, 5990, 25, 11914, 323, 14646, 5990, 13, 14636, 11, 17810, 8350, 753, 14807, 29735, 320, 5162, 20, 705, 11166, 49978, 323, 60777, 596, 1646, 315, 87516, 7766, 320, 4468, 21, 8, 323, 4595, 315, 43743, 14134, 1511, 304, 12624, 22755, 527, 279, 1925, 7526, 1511, 311, 11913, 12177, 2612, 13, 17830, 11, 279, 32185, 13865, 311, 30714, 10105, 369, 279, 6103, 23926, 311, 18885, 12177, 5178, 304, 420, 4040, 1495, 955, 311, 1520, 12177, 8356, 37793, 449, 1579, 13708, 7969, 627, 12, 5858, 1305, 2492, 315, 14123, 2508, 304, 68211, 88161, 4149, 30756, 25, 362, 35761, 11997, 5366, 18825, 315, 4427, 63187, 7, 2059, 2706, 64, 529, 21296, 6729, 1708, 11529, 276, 6729, 11, 220, 679, 23, 12, 2437, 12, 2304, 8, 1708, 11529, 276, 6729, 11, 1443, 2706, 64, 529, 2028, 3495, 13865, 311, 13488, 279, 2515, 315, 73804, 6, 34649, 389, 279, 14807, 315, 279, 19229, 68211, 88161, 13, 2057, 11322, 1202, 842, 11, 279, 4007, 34744, 389, 264, 9200, 41602, 6492, 315, 46392, 1666, 329, 753, 578, 4961, 315, 279, 68211, 88161, 320, 3753, 15, 8, 323, 46392, 14925, 753, 6498, 39141, 323, 73544, 315, 578, 19229, 68211, 88161, 320, 4468, 18, 570, 578, 1403, 6603, 527, 30239, 323, 7863, 389, 279, 8197, 315, 872, 14807, 315, 264, 1396, 315, 68211, 529, 32370, 22100, 26, 32125, 14603, 18709, 11, 7568, 645, 11, 44451, 11, 1708, 503, 6258, 323, 1708, 23109, 529, 69243, 13, 1789, 1855, 7057, 264, 1396, 315, 18740, 10507, 527, 2728, 505, 2225, 37793, 13, 578, 4007, 5039, 430, 2225, 73804, 1051, 70903, 73967, 872, 89971, 439, 21356, 13605, 555, 872, 78686, 11709, 13, 46392, 1666, 329, 574, 28160, 555, 813, 15130, 1431, 1394, 10746, 753, 34649, 323, 555, 279, 36182, 5364, 84, 1431, 1394, 10746, 12678, 46392, 3765, 1072, 323, 60483, 307, 45995, 4317, 13, 763, 5369, 11, 279, 1648, 568, 25548, 1063, 19476, 27053, 813, 21463, 439, 264, 13653, 1732, 1603, 34537, 311, 15256, 13, 578, 4007, 1101, 5039, 430, 46392, 14925, 753, 4879, 311, 25442, 553, 71912, 574, 28160, 555, 813, 1229, 10272, 72, 83258, 11, 902, 19168, 311, 10383, 279, 8830, 315, 279, 50800, 315, 279, 19229, 68211, 88161, 11, 5423, 4315, 2536, 482, 7098, 69391, 13016, 889, 9855, 430, 1521, 37793, 527, 13513, 323, 6721, 13, 65514, 527, 810, 4461, 311, 11142, 279, 73804, 529, 2679, 30450, 1474, 354, 55786, 1917, 1684, 902, 1253, 43561, 279, 837, 15558, 44901, 8200, 11, 5423, 422, 279, 13016, 527, 539, 8010, 315, 279, 73804, 529, 36576, 13, 763, 279, 842, 11, 279, 4007, 6835, 1063, 26793, 315, 1268, 311, 636, 1139, 264, 810, 37513, 323, 13513, 14807, 315, 279, 68211, 88161, 13, 128001, -100, 43, 17872, 21456, 28163, 6944, 311, 1440, 11, 330, 3923, 374, 279, 6300, 11766, 994, 24090, 315, 279, 20754, 5292, 30, 2209, 433, 279, 1890, 439, 279, 549, 815, 13, 5292, 7673, 7839, 3488, 627, 12834, 584, 527, 7556, 922, 6300, 11766, 11, 433, 596, 3062, 311, 1440, 430, 279, 6300, 836, 369, 279, 3778, 5292, 374, 330, 791, 23497, 315, 279, 3723, 4273, 315, 5270, 10246, 791, 3723, 4273, 23497, 6247, 374, 279, 330, 13233, 2363, 1, 369, 6300, 5292, 34545, 13, 549, 815, 13, 23497, 6247, 374, 264, 6918, 2383, 11, 3582, 433, 374, 539, 13882, 45421, 627, 791, 2082, 2795, 11, 330, 4599, 264, 5292, 374, 779, 259, 22688, 430, 433, 649, 912, 5129, 8854, 439, 264, 7891, 315, 279, 3723, 4273, 11, 433, 1288, 387, 14763, 304, 264, 28677, 1908, 11827, 11, 52754, 555, 20252, 10246, 791, 3778, 40935, 11, 16576, 70407, 11, 11617, 70407, 323, 1023, 11351, 15870, 6929, 5292, 1481, 54444, 60283, 11, 3629, 389, 23497, 6187, 11, 5651, 220, 975, 627, 644, 24886, 311, 279, 20754, 5292, 11, 1070, 374, 912, 4033, 330, 10104, 2082, 1, 323, 912, 6918, 7016, 58499, 1202, 34545, 13, 2030, 1070, 374, 912, 11682, 304, 2768, 279, 2082, 369, 279, 1614, 5292, 627, 11764, 701, 1695, 4860, 311, 49293, 73737, 36587, 2726, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216 ]
[ 128000, 2746, 499, 4070, 3596, 18677, 264, 10034, 1567, 11, 17393, 527, 11, 499, 4070, 30652, 264, 85765, 1097, 10194, 709, 279, 13734, 13, 4314, 2853, 39255, 5885, 11, 3508, 814, 3207, 10099, 11, 12966, 11, 477, 1524, 84219, 20566, 11, 1514, 810, 1109, 1120, 459, 16924, 3560, 13, 2435, 6920, 264, 36396, 4785, 430, 3629, 11105, 279, 2128, 753, 9764, 323, 279, 5654, 753, 13970, 11, 13042, 11, 477, 3674, 26431, 13, 11450, 11, 1095, 753, 30963, 5655, 1139, 279, 41765, 1917, 315, 44036, 2469, 323, 45063, 279, 7493, 814, 6920, 389, 872, 72779, 28004, 627, 32, 10034, 1567, 374, 2646, 4686, 2085, 264, 13734, 69002, 389, 279, 2128, 11, 323, 1314, 520, 279, 4851, 315, 420, 506, 30970, 519, 4907, 374, 279, 85765, 13, 89998, 2469, 923, 264, 24858, 315, 2523, 11, 58469, 11, 323, 264, 1579, 2237, 315, 4907, 11, 30311, 279, 7359, 323, 6968, 264, 34076, 16975, 627, 44, 5171, 2469, 11, 4869, 11, 527, 539, 1120, 922, 2523, 323, 3953, 13, 2435, 3629, 7891, 553, 279, 9090, 323, 17743, 315, 279, 2128, 814, 4097, 13, 2435, 1253, 387, 14592, 505, 2254, 98969, 11, 39678, 10099, 11, 18526, 12678, 11, 477, 17910, 430, 279, 7411, 9395, 311, 81658, 13, 14636, 11, 44036, 2469, 3719, 264, 5199, 961, 315, 264, 2128, 753, 6883, 11, 5737, 264, 16996, 3560, 304, 8571, 20392, 323, 4029, 4398, 627, 2520, 3187, 11, 279, 3778, 12374, 10034, 7411, 527, 1664, 22015, 369, 872, 44036, 2469, 13, 2468, 31788, 3907, 11, 279, 5021, 85765, 374, 264, 7891, 315, 279, 4072, 85251, 54370, 11, 264, 2579, 6798, 5021, 902, 374, 264, 18526, 2254, 38350, 13, 1952, 279, 1023, 1450, 11, 279, 452, 1468, 3852, 33199, 315, 20355, 3314, 3907, 27741, 505, 2254, 13314, 922, 264, 16700, 40132, 430, 3131, 938, 3690, 3221, 279, 2978, 627, 644, 1690, 5157, 11, 44036, 2469, 617, 1101, 1027, 14592, 505, 2254, 39678, 477, 10068, 27833, 13, 1115, 6725, 11, 4869, 11, 706, 1027, 264, 3917, 315, 26654, 323, 3674, 11249, 627, 644, 5270, 11, 1690, 10034, 7411, 617, 44036, 2469, 430, 527, 3196, 1022, 17118, 3778, 41545, 13, 40713, 1093, 279, 24372, 30507, 304, 17559, 9130, 38258, 323, 279, 6652, 60378, 304, 279, 5165, 21424, 9130, 617, 1027, 32614, 369, 872, 1005, 315, 1778, 44036, 2469, 13, 77513, 18046, 430, 1521, 44036, 2469, 22313, 6426, 54168, 323, 527, 99622, 311, 279, 17118, 3778, 1274, 627, 11458, 11, 433, 753, 5922, 27401, 430, 539, 682, 85765, 10648, 315, 10068, 41545, 374, 4036, 48291, 13, 28621, 753, 3907, 315, 28621, 520, 2418, 20103, 753, 85765, 374, 279, 3451, 29784, 3334, 23189, 264, 7891, 430, 10187, 5199, 13042, 12939, 304, 59103, 8396, 11, 323, 3686, 11, 433, 706, 1027, 14090, 11928, 13, 1102, 5039, 430, 994, 44036, 2469, 527, 3463, 3725, 12146, 323, 93445, 15609, 11, 814, 649, 17210, 311, 264, 7191, 8830, 323, 35996, 315, 279, 10068, 7829, 627, 644, 3293, 1667, 11, 279, 19775, 2212, 44036, 2469, 706, 1027, 42028, 11, 42852, 8294, 59529, 4442, 13, 9176, 7411, 617, 1903, 9045, 311, 4600, 872, 44036, 2469, 311, 6106, 430, 814, 527, 29408, 323, 49150, 315, 17226, 27833, 627, 644, 220, 2366, 15, 11, 2768, 279, 5348, 40495, 34464, 22670, 11, 3892, 3778, 7411, 11, 2737, 279, 6652, 60378, 323, 279, 24372, 30507, 11, 7376, 814, 1053, 387, 10223, 872, 5144, 323, 44036, 2469, 13, 1115, 5597, 574, 32069, 555, 7359, 323, 279, 27927, 8396, 11, 36024, 264, 5199, 4545, 304, 10034, 3925, 627, 56441, 7102, 11, 44036, 2469, 1101, 8881, 1023, 3674, 19567, 13, 1789, 2937, 11, 1063, 7411, 617, 3940, 311, 2997, 8954, 44036, 2469, 311, 12192, 10026, 22526, 13, 578, 17219, 315, 3451, 33, 9563, 316, 529, 555, 279, 19922, 3723, 21424, 10349, 439, 264, 22489, 311, 279, 6484, 8762, 85765, 3451, 75696, 279, 3816, 23189, 39039, 9803, 1778, 264, 6541, 627, 63507, 706, 24411, 5370, 13878, 315, 1057, 6439, 11, 323, 10034, 44036, 2469, 527, 912, 4788, 13, 11361, 311, 83787, 304, 7528, 5557, 11, 44036, 2469, 527, 912, 5129, 45408, 311, 279, 10034, 25946, 13, 2435, 617, 1766, 872, 2035, 304, 279, 7528, 1917, 11, 23387, 7359, 1555, 3674, 3772, 15771, 11, 2835, 3953, 11, 323, 1524, 57088, 8903, 320, 946, 8, 11704, 627, 29518, 7411, 617, 1027, 71674, 304, 420, 13189, 13, 1789, 2937, 11, 279, 19895, 74834, 529, 85765, 11, 480, 1018, 1919, 11, 706, 18661, 38883, 23354, 389, 3674, 3772, 11, 449, 813, 41367, 88223, 3629, 2133, 29962, 13, 26982, 11, 279, 5165, 47589, 10229, 320, 45, 7209, 8, 706, 18751, 44036, 2469, 1139, 872, 17846, 220, 17, 42, 2835, 3953, 11, 10209, 264, 810, 65280, 3217, 369, 4311, 627, 791, 3938, 315, 44036, 2469, 5992, 38048, 13548, 11, 449, 24525, 315, 15592, 41503, 44036, 2469, 477, 72927, 79173, 44036, 2469, 430, 1436, 16681, 449, 7359, 304, 1972, 7394, 13, 1666, 5557, 9731, 311, 38680, 11, 433, 690, 387, 27387, 311, 1518, 1268, 279, 3560, 323, 13340, 315, 44036, 2469, 2349, 304, 279, 1667, 311, 2586, 627, 8142, 3778, 10034, 7411, 617, 264, 9257, 3925, 315, 44036, 2469, 11, 433, 374, 3062, 311, 5296, 430, 279, 1005, 315, 44036, 2469, 374, 46941, 304, 1023, 5596, 315, 279, 1917, 439, 1664, 13, 9062, 7829, 73354, 1157, 1202, 44036, 2469, 449, 5016, 50800, 323, 26431, 627, 644, 6457, 11, 44036, 2469, 11, 1101, 3967, 439, 3451, 56, 21585, 43638, 64, 23189, 527, 17235, 5526, 323, 527, 1511, 555, 25861, 323, 9919, 311, 12192, 32083, 323, 2254, 7829, 13, 35339, 11, 304, 4606, 11, 1690, 9141, 19424, 617, 44036, 2469, 430, 527, 3629, 41976, 304, 2254, 98969, 323, 14135, 13, 3861, 1778, 3187, 374, 3451, 97003, 279, 11717, 1414, 23189, 279, 85765, 315, 48550, 5721, 16396, 304, 9635, 11, 902, 11105, 279, 39678, 30405, 627, 1966, 264, 3728, 5569, 11, 8530, 279, 1455, 9621, 44036, 2469, 527, 1884, 315, 279, 25944, 11871, 13, 5659, 3451, 54, 78016, 529, 279, 423, 613, 939, 1263, 369, 279, 220, 4468, 17, 47304, 33063, 311, 3451, 59561, 1339, 13780, 529, 323, 3451, 8538, 488, 529, 369, 279, 27286, 220, 2366, 15, 33063, 11, 1521, 44036, 2469, 8854, 439, 13042, 96662, 11, 67908, 279, 3552, 3224, 753, 7829, 11, 2819, 11, 323, 58522, 627, 644, 17102, 11, 10034, 44036, 2469, 527, 810, 1109, 1120, 26085, 79486, 477, 46276, 388, 13, 2435, 6920, 264, 36396, 4785, 11, 11890, 7493, 922, 279, 3925, 11, 7829, 11, 323, 2819, 315, 279, 7411, 323, 279, 10977, 814, 4097, 13, 3161, 10223, 59529, 40851, 323, 83787, 304, 5557, 11, 279, 19775, 2212, 44036, 2469, 9731, 311, 38680, 11, 26455, 264, 27387, 3938, 369, 1521, 28530, 5885, 627, 791, 3917, 315, 10034, 44036, 2469, 304, 279, 3723, 4273, 706, 1027, 264, 4106, 2788, 315, 11249, 11, 5423, 994, 433, 4131, 311, 1884, 3196, 389, 17118, 3778, 41545, 13, 22717, 811, 1093, 279, 24372, 30507, 529, 14681, 468, 17397, 323, 279, 6652, 60378, 617, 17011, 48156, 369, 279, 26617, 54168, 323, 57309, 814, 3118, 311, 17118, 9053, 627, 791, 3778, 7904, 4029, 323, 1202, 20724, 617, 78477, 7162, 70505, 2403, 279, 1005, 315, 1778, 44036, 2469, 13, 2435, 18046, 430, 1521, 77071, 2859, 315, 17118, 1274, 55414, 28856, 54168, 323, 3775, 311, 5201, 279, 9257, 13042, 28948, 323, 3925, 315, 3778, 30507, 13, 5659, 1579, 8853, 311, 6721, 10034, 7411, 11, 6880, 369, 2349, 617, 1027, 94824, 4028, 279, 7140, 627, 11458, 11, 420, 1587, 539, 34608, 279, 4686, 44032, 315, 44036, 2469, 14948, 555, 10068, 27833, 13, 3277, 12146, 449, 3463, 323, 15609, 93445, 11, 814, 649, 17210, 311, 264, 7191, 8830, 315, 39678, 27833, 13, 3861, 1778, 3187, 374, 279, 3451, 29784, 3334, 529, 505, 28621, 753, 3907, 315, 28621, 520, 2418, 20103, 11, 39686, 279, 5199, 38490, 14135, 304, 59103, 7829, 627, 644, 3293, 1667, 11, 1070, 706, 1027, 264, 6541, 7119, 264, 810, 2980, 349, 323, 29408, 5603, 311, 44036, 2469, 13, 578, 6652, 60378, 323, 24372, 30507, 1903, 31186, 304, 220, 2366, 15, 994, 814, 7376, 814, 1053, 387, 10223, 872, 5144, 323, 44036, 2469, 11, 36024, 264, 5199, 4545, 304, 3778, 10034, 3925, 13, 1115, 15740, 374, 539, 7347, 311, 7102, 719, 1101, 1023, 3674, 19567, 1093, 10026, 22526, 11, 449, 7411, 33018, 8954, 44036, 2469, 16662, 872, 8762, 38495, 627, 8142, 279, 1005, 315, 10034, 44036, 2469, 374, 24716, 304, 279, 3723, 4273, 11, 433, 753, 1101, 264, 4279, 6725, 2212, 279, 1917, 11, 1855, 7829, 70772, 287, 1202, 44036, 2469, 449, 12742, 50800, 323, 26431, 627, 644, 6457, 11, 816, 21585, 43638, 64, 44036, 2469, 527, 1511, 539, 1193, 555, 10034, 7411, 719, 1101, 555, 25861, 323, 9919, 311, 12192, 2254, 7829, 323, 32083, 13, 4314, 44036, 2469, 11, 3629, 14948, 555, 2254, 30405, 477, 98969, 11, 617, 3719, 26154, 311, 11002, 7829, 627, 644, 4606, 11, 9141, 19424, 14134, 1005, 44036, 2469, 430, 8881, 2254, 98969, 477, 39678, 30405, 13, 33919, 279, 11717, 1414, 11, 279, 85765, 369, 9635, 753, 48550, 5721, 16396, 11, 17482, 439, 264, 20333, 3187, 315, 420, 9327, 627, 1966, 279, 3728, 6566, 11, 279, 44036, 2469, 315, 279, 25944, 11871, 8530, 3412, 279, 8592, 24035, 13, 5659, 3451, 54, 78016, 529, 279, 423, 613, 939, 1263, 369, 279, 220, 4468, 17, 47304, 33063, 311, 3451, 59561, 1339, 13780, 529, 323, 3451, 8538, 488, 529, 369, 279, 27286, 220, 2366, 15, 33063, 11, 1521, 44036, 2469, 8854, 439, 96662, 315, 279, 3552, 3224, 753, 7829, 11, 2819, 11, 323, 58522, 627, 42079, 44036, 2469, 11, 3508, 520, 264, 1579, 2978, 1847, 304, 4892, 13030, 477, 459, 25944, 1567, 304, 27286, 11, 2804, 810, 13073, 1109, 16632, 9950, 287, 709, 279, 13734, 13, 2435, 8854, 439, 13042, 96662, 11, 14393, 279, 3925, 11, 7829, 11, 323, 2819, 315, 7411, 323, 872, 10977, 627, 791, 10430, 2212, 44036, 2469, 706, 1027, 42028, 11, 42852, 59529, 4442, 323, 19567, 11, 505, 52913, 5201, 369, 17118, 3778, 28948, 311, 22923, 10026, 22526, 13, 12053, 753, 3560, 11, 8104, 3674, 3772, 323, 7528, 15771, 11, 706, 1101, 17626, 279, 5662, 323, 20392, 315, 44036, 2469, 627, 8142, 86893, 617, 1027, 961, 323, 30409, 315, 279, 85765, 14135, 11, 433, 706, 64260, 291, 304, 4442, 430, 617, 6197, 311, 810, 29408, 323, 49150, 44713, 13, 1666, 584, 3351, 4741, 11, 433, 690, 387, 7185, 311, 1518, 1268, 59529, 40851, 11, 5557, 11, 323, 28697, 690, 6211, 279, 3938, 315, 10034, 44036, 2469, 13, 128001 ]
[ -100, 2746, 499, 4070, 3596, 18677, 264, 10034, 1567, 11, 17393, 527, 11, 499, 4070, 30652, 264, 85765, 1097, 10194, 709, 279, 13734, 13, 4314, 2853, 39255, 5885, 11, 3508, 814, 3207, 10099, 11, 12966, 11, 477, 1524, 84219, 20566, 11, 1514, 810, 1109, 1120, 459, 16924, 3560, 13, 2435, 6920, 264, 36396, 4785, 430, 3629, 11105, 279, 2128, 753, 9764, 323, 279, 5654, 753, 13970, 11, 13042, 11, 477, 3674, 26431, 13, 11450, 11, 1095, 753, 30963, 5655, 1139, 279, 41765, 1917, 315, 44036, 2469, 323, 45063, 279, 7493, 814, 6920, 389, 872, 72779, 28004, 627, 32, 10034, 1567, 374, 2646, 4686, 2085, 264, 13734, 69002, 389, 279, 2128, 11, 323, 1314, 520, 279, 4851, 315, 420, 506, 30970, 519, 4907, 374, 279, 85765, 13, 89998, 2469, 923, 264, 24858, 315, 2523, 11, 58469, 11, 323, 264, 1579, 2237, 315, 4907, 11, 30311, 279, 7359, 323, 6968, 264, 34076, 16975, 627, 44, 5171, 2469, 11, 4869, 11, 527, 539, 1120, 922, 2523, 323, 3953, 13, 2435, 3629, 7891, 553, 279, 9090, 323, 17743, 315, 279, 2128, 814, 4097, 13, 2435, 1253, 387, 14592, 505, 2254, 98969, 11, 39678, 10099, 11, 18526, 12678, 11, 477, 17910, 430, 279, 7411, 9395, 311, 81658, 13, 14636, 11, 44036, 2469, 3719, 264, 5199, 961, 315, 264, 2128, 753, 6883, 11, 5737, 264, 16996, 3560, 304, 8571, 20392, 323, 4029, 4398, 627, 2520, 3187, 11, 279, 3778, 12374, 10034, 7411, 527, 1664, 22015, 369, 872, 44036, 2469, 13, 2468, 31788, 3907, 11, 279, 5021, 85765, 374, 264, 7891, 315, 279, 4072, 85251, 54370, 11, 264, 2579, 6798, 5021, 902, 374, 264, 18526, 2254, 38350, 13, 1952, 279, 1023, 1450, 11, 279, 452, 1468, 3852, 33199, 315, 20355, 3314, 3907, 27741, 505, 2254, 13314, 922, 264, 16700, 40132, 430, 3131, 938, 3690, 3221, 279, 2978, 627, 644, 1690, 5157, 11, 44036, 2469, 617, 1101, 1027, 14592, 505, 2254, 39678, 477, 10068, 27833, 13, 1115, 6725, 11, 4869, 11, 706, 1027, 264, 3917, 315, 26654, 323, 3674, 11249, 627, 644, 5270, 11, 1690, 10034, 7411, 617, 44036, 2469, 430, 527, 3196, 1022, 17118, 3778, 41545, 13, 40713, 1093, 279, 24372, 30507, 304, 17559, 9130, 38258, 323, 279, 6652, 60378, 304, 279, 5165, 21424, 9130, 617, 1027, 32614, 369, 872, 1005, 315, 1778, 44036, 2469, 13, 77513, 18046, 430, 1521, 44036, 2469, 22313, 6426, 54168, 323, 527, 99622, 311, 279, 17118, 3778, 1274, 627, 11458, 11, 433, 753, 5922, 27401, 430, 539, 682, 85765, 10648, 315, 10068, 41545, 374, 4036, 48291, 13, 28621, 753, 3907, 315, 28621, 520, 2418, 20103, 753, 85765, 374, 279, 3451, 29784, 3334, 23189, 264, 7891, 430, 10187, 5199, 13042, 12939, 304, 59103, 8396, 11, 323, 3686, 11, 433, 706, 1027, 14090, 11928, 13, 1102, 5039, 430, 994, 44036, 2469, 527, 3463, 3725, 12146, 323, 93445, 15609, 11, 814, 649, 17210, 311, 264, 7191, 8830, 323, 35996, 315, 279, 10068, 7829, 627, 644, 3293, 1667, 11, 279, 19775, 2212, 44036, 2469, 706, 1027, 42028, 11, 42852, 8294, 59529, 4442, 13, 9176, 7411, 617, 1903, 9045, 311, 4600, 872, 44036, 2469, 311, 6106, 430, 814, 527, 29408, 323, 49150, 315, 17226, 27833, 627, 644, 220, 2366, 15, 11, 2768, 279, 5348, 40495, 34464, 22670, 11, 3892, 3778, 7411, 11, 2737, 279, 6652, 60378, 323, 279, 24372, 30507, 11, 7376, 814, 1053, 387, 10223, 872, 5144, 323, 44036, 2469, 13, 1115, 5597, 574, 32069, 555, 7359, 323, 279, 27927, 8396, 11, 36024, 264, 5199, 4545, 304, 10034, 3925, 627, 56441, 7102, 11, 44036, 2469, 1101, 8881, 1023, 3674, 19567, 13, 1789, 2937, 11, 1063, 7411, 617, 3940, 311, 2997, 8954, 44036, 2469, 311, 12192, 10026, 22526, 13, 578, 17219, 315, 3451, 33, 9563, 316, 529, 555, 279, 19922, 3723, 21424, 10349, 439, 264, 22489, 311, 279, 6484, 8762, 85765, 3451, 75696, 279, 3816, 23189, 39039, 9803, 1778, 264, 6541, 627, 63507, 706, 24411, 5370, 13878, 315, 1057, 6439, 11, 323, 10034, 44036, 2469, 527, 912, 4788, 13, 11361, 311, 83787, 304, 7528, 5557, 11, 44036, 2469, 527, 912, 5129, 45408, 311, 279, 10034, 25946, 13, 2435, 617, 1766, 872, 2035, 304, 279, 7528, 1917, 11, 23387, 7359, 1555, 3674, 3772, 15771, 11, 2835, 3953, 11, 323, 1524, 57088, 8903, 320, 946, 8, 11704, 627, 29518, 7411, 617, 1027, 71674, 304, 420, 13189, 13, 1789, 2937, 11, 279, 19895, 74834, 529, 85765, 11, 480, 1018, 1919, 11, 706, 18661, 38883, 23354, 389, 3674, 3772, 11, 449, 813, 41367, 88223, 3629, 2133, 29962, 13, 26982, 11, 279, 5165, 47589, 10229, 320, 45, 7209, 8, 706, 18751, 44036, 2469, 1139, 872, 17846, 220, 17, 42, 2835, 3953, 11, 10209, 264, 810, 65280, 3217, 369, 4311, 627, 791, 3938, 315, 44036, 2469, 5992, 38048, 13548, 11, 449, 24525, 315, 15592, 41503, 44036, 2469, 477, 72927, 79173, 44036, 2469, 430, 1436, 16681, 449, 7359, 304, 1972, 7394, 13, 1666, 5557, 9731, 311, 38680, 11, 433, 690, 387, 27387, 311, 1518, 1268, 279, 3560, 323, 13340, 315, 44036, 2469, 2349, 304, 279, 1667, 311, 2586, 627, 8142, 3778, 10034, 7411, 617, 264, 9257, 3925, 315, 44036, 2469, 11, 433, 374, 3062, 311, 5296, 430, 279, 1005, 315, 44036, 2469, 374, 46941, 304, 1023, 5596, 315, 279, 1917, 439, 1664, 13, 9062, 7829, 73354, 1157, 1202, 44036, 2469, 449, 5016, 50800, 323, 26431, 627, 644, 6457, 11, 44036, 2469, 11, 1101, 3967, 439, 3451, 56, 21585, 43638, 64, 23189, 527, 17235, 5526, 323, 527, 1511, 555, 25861, 323, 9919, 311, 12192, 32083, 323, 2254, 7829, 13, 35339, 11, 304, 4606, 11, 1690, 9141, 19424, 617, 44036, 2469, 430, 527, 3629, 41976, 304, 2254, 98969, 323, 14135, 13, 3861, 1778, 3187, 374, 3451, 97003, 279, 11717, 1414, 23189, 279, 85765, 315, 48550, 5721, 16396, 304, 9635, 11, 902, 11105, 279, 39678, 30405, 627, 1966, 264, 3728, 5569, 11, 8530, 279, 1455, 9621, 44036, 2469, 527, 1884, 315, 279, 25944, 11871, 13, 5659, 3451, 54, 78016, 529, 279, 423, 613, 939, 1263, 369, 279, 220, 4468, 17, 47304, 33063, 311, 3451, 59561, 1339, 13780, 529, 323, 3451, 8538, 488, 529, 369, 279, 27286, 220, 2366, 15, 33063, 11, 1521, 44036, 2469, 8854, 439, 13042, 96662, 11, 67908, 279, 3552, 3224, 753, 7829, 11, 2819, 11, 323, 58522, 627, 644, 17102, 11, 10034, 44036, 2469, 527, 810, 1109, 1120, 26085, 79486, 477, 46276, 388, 13, 2435, 6920, 264, 36396, 4785, 11, 11890, 7493, 922, 279, 3925, 11, 7829, 11, 323, 2819, 315, 279, 7411, 323, 279, 10977, 814, 4097, 13, 3161, 10223, 59529, 40851, 323, 83787, 304, 5557, 11, 279, 19775, 2212, 44036, 2469, 9731, 311, 38680, 11, 26455, 264, 27387, 3938, 369, 1521, 28530, 5885, 627, 791, 3917, 315, 10034, 44036, 2469, 304, 279, 3723, 4273, 706, 1027, 264, 4106, 2788, 315, 11249, 11, 5423, 994, 433, 4131, 311, 1884, 3196, 389, 17118, 3778, 41545, 13, 22717, 811, 1093, 279, 24372, 30507, 529, 14681, 468, 17397, 323, 279, 6652, 60378, 617, 17011, 48156, 369, 279, 26617, 54168, 323, 57309, 814, 3118, 311, 17118, 9053, 627, 791, 3778, 7904, 4029, 323, 1202, 20724, 617, 78477, 7162, 70505, 2403, 279, 1005, 315, 1778, 44036, 2469, 13, 2435, 18046, 430, 1521, 77071, 2859, 315, 17118, 1274, 55414, 28856, 54168, 323, 3775, 311, 5201, 279, 9257, 13042, 28948, 323, 3925, 315, 3778, 30507, 13, 5659, 1579, 8853, 311, 6721, 10034, 7411, 11, 6880, 369, 2349, 617, 1027, 94824, 4028, 279, 7140, 627, 11458, 11, 420, 1587, 539, 34608, 279, 4686, 44032, 315, 44036, 2469, 14948, 555, 10068, 27833, 13, 3277, 12146, 449, 3463, 323, 15609, 93445, 11, 814, 649, 17210, 311, 264, 7191, 8830, 315, 39678, 27833, 13, 3861, 1778, 3187, 374, 279, 3451, 29784, 3334, 529, 505, 28621, 753, 3907, 315, 28621, 520, 2418, 20103, 11, 39686, 279, 5199, 38490, 14135, 304, 59103, 7829, 627, 644, 3293, 1667, 11, 1070, 706, 1027, 264, 6541, 7119, 264, 810, 2980, 349, 323, 29408, 5603, 311, 44036, 2469, 13, 578, 6652, 60378, 323, 24372, 30507, 1903, 31186, 304, 220, 2366, 15, 994, 814, 7376, 814, 1053, 387, 10223, 872, 5144, 323, 44036, 2469, 11, 36024, 264, 5199, 4545, 304, 3778, 10034, 3925, 13, 1115, 15740, 374, 539, 7347, 311, 7102, 719, 1101, 1023, 3674, 19567, 1093, 10026, 22526, 11, 449, 7411, 33018, 8954, 44036, 2469, 16662, 872, 8762, 38495, 627, 8142, 279, 1005, 315, 10034, 44036, 2469, 374, 24716, 304, 279, 3723, 4273, 11, 433, 753, 1101, 264, 4279, 6725, 2212, 279, 1917, 11, 1855, 7829, 70772, 287, 1202, 44036, 2469, 449, 12742, 50800, 323, 26431, 627, 644, 6457, 11, 816, 21585, 43638, 64, 44036, 2469, 527, 1511, 539, 1193, 555, 10034, 7411, 719, 1101, 555, 25861, 323, 9919, 311, 12192, 2254, 7829, 323, 32083, 13, 4314, 44036, 2469, 11, 3629, 14948, 555, 2254, 30405, 477, 98969, 11, 617, 3719, 26154, 311, 11002, 7829, 627, 644, 4606, 11, 9141, 19424, 14134, 1005, 44036, 2469, 430, 8881, 2254, 98969, 477, 39678, 30405, 13, 33919, 279, 11717, 1414, 11, 279, 85765, 369, 9635, 753, 48550, 5721, 16396, 11, 17482, 439, 264, 20333, 3187, 315, 420, 9327, 627, 1966, 279, 3728, 6566, 11, 279, 44036, 2469, 315, 279, 25944, 11871, 8530, 3412, 279, 8592, 24035, 13, 5659, 3451, 54, 78016, 529, 279, 423, 613, 939, 1263, 369, 279, 220, 4468, 17, 47304, 33063, 311, 3451, 59561, 1339, 13780, 529, 323, 3451, 8538, 488, 529, 369, 279, 27286, 220, 2366, 15, 33063, 11, 1521, 44036, 2469, 8854, 439, 96662, 315, 279, 3552, 3224, 753, 7829, 11, 2819, 11, 323, 58522, 627, 42079, 44036, 2469, 11, 3508, 520, 264, 1579, 2978, 1847, 304, 4892, 13030, 477, 459, 25944, 1567, 304, 27286, 11, 2804, 810, 13073, 1109, 16632, 9950, 287, 709, 279, 13734, 13, 2435, 8854, 439, 13042, 96662, 11, 14393, 279, 3925, 11, 7829, 11, 323, 2819, 315, 7411, 323, 872, 10977, 627, 791, 10430, 2212, 44036, 2469, 706, 1027, 42028, 11, 42852, 59529, 4442, 323, 19567, 11, 505, 52913, 5201, 369, 17118, 3778, 28948, 311, 22923, 10026, 22526, 13, 12053, 753, 3560, 11, 8104, 3674, 3772, 323, 7528, 15771, 11, 706, 1101, 17626, 279, 5662, 323, 20392, 315, 44036, 2469, 627, 8142, 86893, 617, 1027, 961, 323, 30409, 315, 279, 85765, 14135, 11, 433, 706, 64260, 291, 304, 4442, 430, 617, 6197, 311, 810, 29408, 323, 49150, 44713, 13, 1666, 584, 3351, 4741, 11, 433, 690, 387, 7185, 311, 1518, 1268, 59529, 40851, 11, 5557, 11, 323, 28697, 690, 6211, 279, 3938, 315, 10034, 44036, 2469, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713 ]
[ 128000, 54849, 77434, 304, 39253, 57358, 832, 315, 279, 682, 7394, 2294, 60594, 2785, 388, 11, 12103, 3919, 11680, 265, 339, 11, 520, 220, 24, 5298, 389, 6740, 11, 5887, 220, 23, 13, 350, 953, 527, 400, 914, 13, 7429, 11, 13945, 7376, 369, 77434, 527, 76007, 20239, 23390, 389, 7950, 11, 5887, 220, 975, 1746, 51, 7209, 8, 323, 39315, 32724, 320, 72408, 505, 19149, 20614, 8, 520, 220, 24, 5298, 389, 7884, 11, 6287, 220, 1032, 1746, 868, 4390, 56, 3178, 433, 709, 25, 44851, 374, 470, 258, 529, 1057, 1648, 520, 220, 23, 5298, 389, 7884, 11, 6664, 220, 23, 994, 468, 10018, 5837, 12841, 7504, 1139, 279, 37973, 311, 656, 1077, 2559, 5352, 3245, 520, 279, 31396, 27315, 304, 56054, 13, 393, 2265, 291, 520, 400, 508, 11, 400, 1927, 11, 400, 2397, 323, 400, 5313, 11, 259, 953, 733, 389, 6412, 311, 279, 4689, 586, 520, 220, 605, 309, 389, 6740, 627, 24818, 1445, 25, 3161, 810, 1109, 264, 4376, 21030, 7054, 220, 1272, 13280, 311, 872, 6807, 1389, 2737, 1054, 1548, 5389, 15832, 2893, 36364, 459, 23950, 863, 323, 1054, 2181, 8442, 38707, 264, 56267, 863, 1389, 18217, 2031, 82, 2477, 11151, 49339, 9958, 350, 2979, 417, 690, 387, 20427, 1139, 328, 8869, 753, 304, 13951, 266, 14361, 30304, 311, 8854, 709, 264, 1772, 54566, 21497, 389, 7884, 11, 5887, 220, 966, 13, 25274, 433, 1524, 810, 2523, 11, 279, 77979, 64196, 4409, 16264, 279, 1501, 627, 4387, 25, 1666, 584, 3309, 499, 1566, 2046, 11, 74779, 220, 10828, 1080, 27488, 8128, 279, 29987, 55929, 14986, 449, 3092, 36424, 52256, 304, 1148, 690, 4461, 387, 279, 1620, 1501, 315, 279, 3280, 520, 279, 13951, 266, 14361, 70748, 17979, 5955, 13, 13678, 612, 13818, 1825, 279, 1501, 13, 5810, 753, 279, 502, 3630, 25, 393, 2265, 291, 520, 400, 1758, 11, 400, 2131, 323, 400, 3076, 369, 66092, 83856, 977, 16712, 323, 400, 914, 369, 37125, 26360, 11, 259, 953, 733, 389, 6412, 311, 279, 4689, 586, 520, 220, 605, 309, 389, 6740, 627, 644, 1162, 499, 13942, 433, 25, 5810, 584, 2586, 1981, 10035, 11, 279, 3206, 41848, 529, 220, 1774, 339, 22310, 7364, 374, 53370, 311, 1304, 1202, 1648, 1139, 279, 8691, 9323, 5955, 304, 56054, 11, 719, 1193, 5460, 88, 12201, 11, 386, 19501, 25227, 17007, 323, 11291, 350, 672, 527, 37606, 13, 3639, 30, 2360, 47400, 22050, 30, 350, 953, 733, 389, 6412, 389, 7884, 627, 644, 1162, 499, 13942, 433, 11, 3744, 8105, 25, 13625, 502, 5039, 1051, 7376, 369, 279, 4498, 21497, 13470, 520, 578, 42313, 304, 56054, 1389, 10058, 29550, 540, 1411, 612, 279, 23047, 388, 11, 19332, 92933, 73980, 583, 87, 449, 452, 616, 648, 90970, 11, 6941, 5960, 16381, 449, 55835, 1611, 23376, 3095, 1030, 323, 56637, 4349, 9799, 13, 350, 953, 733, 389, 6412, 311, 279, 4689, 586, 389, 6740, 11, 5651, 220, 1114, 627, 644, 1162, 499, 13942, 433, 11, 3744, 14767, 25, 55770, 77740, 18688, 13972, 29477, 818, 374, 53370, 311, 471, 311, 279, 31396, 27315, 304, 56054, 304, 6664, 1389, 420, 892, 369, 264, 13839, 45166, 5178, 13, 350, 953, 733, 389, 6412, 389, 6740, 627, 40, 4070, 25720, 433, 704, 25, 682, 279, 2294, 5039, 430, 66526, 520, 21594, 1288, 4070, 46531, 311, 2363, 420, 7474, 527, 2133, 311, 10349, 77434, 13, 39253, 11, 12551, 1618, 358, 2586, 0, 128001, 128000, 7927, 2587, 5918, 2162, 30675, 264, 5916, 315, 35018, 325, 430, 690, 387, 12886, 1701, 420, 56230, 2587, 445, 36541, 18766, 52068, 301, 3161, 6007, 13, 1115, 7060, 990, 315, 1989, 374, 6335, 398, 1450, 49267, 505, 6573, 43288, 45016, 304, 79365, 13, 578, 28639, 3352, 2259, 315, 279, 9998, 323, 279, 37067, 3649, 389, 279, 26976, 301, 11705, 264, 31467, 16975, 304, 701, 5496, 3130, 13, 128001, 128000, 75133, 315, 2956, 11348, 1226, 9762, 5370, 4595, 315, 19758, 8245, 505, 1057, 3932, 11, 439, 11497, 810, 7373, 3770, 13, 1226, 1253, 1005, 420, 19758, 8245, 311, 81938, 323, 7417, 279, 8471, 11, 311, 2187, 1057, 3932, 311, 743, 709, 264, 1217, 2759, 323, 5643, 11, 311, 3729, 3932, 11, 311, 21054, 872, 7540, 369, 279, 8471, 11, 311, 24564, 1268, 3932, 29166, 279, 16406, 11, 323, 439, 6062, 743, 13544, 304, 1057, 19406, 11216, 13, 1789, 3187, 11, 584, 6667, 19758, 8245, 1778, 439, 1057, 3932, 6, 836, 11, 2613, 2686, 11, 323, 7074, 2038, 627, 1687, 1101, 584, 9651, 5371, 323, 3335, 2038, 389, 1057, 3622, 18929, 505, 1057, 3932, 6, 7074, 2737, 6933, 2686, 323, 30, 16634, 6, 2038, 11, 279, 2199, 11472, 11, 279, 892, 7543, 389, 1884, 6959, 11, 2038, 27600, 369, 389, 1057, 16406, 11, 2680, 3115, 323, 13003, 11, 323, 1023, 13443, 13, 1226, 1005, 420, 2038, 311, 8891, 323, 24564, 1005, 315, 279, 16406, 323, 279, 8471, 323, 369, 279, 16406, 596, 11156, 8735, 11, 311, 5376, 1057, 16406, 596, 15293, 323, 1217, 2269, 5147, 49958, 11, 323, 311, 2731, 52056, 433, 311, 1057, 15613, 6, 3966, 13, 1226, 3539, 1023, 5220, 323, 1274, 311, 2804, 9256, 389, 1057, 17981, 323, 1205, 311, 4430, 1217, 2038, 449, 1124, 311, 3493, 279, 8471, 311, 1057, 3932, 13, 11115, 9539, 5300, 11, 1778, 4948, 9875, 656, 539, 617, 904, 1314, 311, 1005, 279, 19758, 8245, 584, 4430, 449, 1124, 7953, 1148, 374, 5995, 311, 7945, 603, 627, 14809, 1167, 37161, 44912, 13, 1901, 26004, 220, 679, 23, 56045, 6051, 11887, 555, 279, 50566, 39227, 304, 1212, 315, 5936, 13, 2100, 584, 420, 2027, 374, 1101, 3967, 439, 279, 10868, 20206, 304, 315, 1023, 2027, 4025, 37161, 31675, 400, 614, 614, 220, 1313, 3135, 13, 11106, 25, 50566, 39227, 1901, 37161, 220, 679, 23, 13, 16, 12468, 865, 1227, 6177, 5651, 220, 679, 23, 13, 13374, 25, 220, 679, 23, 13, 16, 5666, 13, 16560, 18152, 5370, 4442, 311, 5376, 1901, 26004, 27863, 287, 323, 10873, 4732, 1087, 953, 39227, 1901, 26004, 220, 679, 23, 56045, 8797, 5422, 4469, 8745, 4800, 627, 2028, 5764, 4948, 4717, 5220, 323, 7931, 20011, 555, 603, 311, 28696, 1057, 8471, 11, 2737, 279, 17575, 315, 13709, 3600, 11, 4729, 6373, 11, 5000, 28975, 323, 4689, 16048, 315, 279, 8471, 627, 128001, 128000, 2520, 23782, 11, 29935, 828, 527, 1694, 1511, 304, 30029, 11, 88134, 11, 3090, 5070, 323, 18768, 5392, 4688, 9809, 4688, 39646, 74158, 437, 615, 13021, 323, 16967, 13, 1115, 3857, 5825, 1162, 7978, 4028, 23782, 430, 20461, 279, 4754, 315, 33975, 2474, 11, 4923, 1065, 266, 323, 1101, 48090, 51158, 828, 304, 3495, 323, 15325, 3851, 627, 21119, 1441, 2474, 828, 3493, 10708, 369, 2204, 23747, 19641, 4595, 11, 10484, 7922, 39999, 77140, 58758, 320, 88, 7052, 8, 323, 26206, 627, 6334, 3851, 5789, 2997, 5021, 9606, 22654, 11, 57470, 315, 64071, 3504, 323, 2349, 18468, 11, 449, 1521, 84015, 505, 279, 5190, 29079, 11175, 323, 11900, 315, 10401, 627, 24374, 944, 1260, 17910, 315, 71699, 2997, 86733, 11, 16312, 287, 323, 82339, 18852, 323, 1521, 828, 649, 1514, 264, 1401, 3560, 304, 6136, 9606, 21934, 13, 128001, 128000, 8161, 1431, 25760, 369, 264, 43828, 9145, 430, 649, 1431, 6920, 4395, 499, 1205, 13, 42812, 1057, 4673, 57808, 17308, 18381, 369, 459, 3072, 430, 3521, 2053, 304, 1475, 1648, 627, 40, 2751, 420, 9145, 1120, 1606, 433, 5992, 1695, 13, 1102, 374, 539, 11646, 11, 719, 433, 374, 2103, 264, 1633, 1695, 2027, 13, 1102, 374, 1120, 264, 2697, 11493, 1109, 358, 3685, 13, 2030, 279, 4367, 315, 279, 3769, 323, 990, 58832, 527, 682, 9250, 627, 32, 20441, 398, 6366, 9145, 430, 649, 387, 24634, 555, 5606, 13, 578, 1404, 374, 4832, 369, 18254, 323, 279, 4367, 374, 1633, 1695, 11, 779, 433, 753, 5922, 12096, 459, 11646, 832, 422, 499, 649, 627, 40, 574, 3411, 369, 264, 4673, 57808, 9145, 11, 719, 358, 7846, 1431, 1505, 4205, 430, 1695, 13, 358, 50157, 5304, 279, 57798, 13814, 7445, 20217, 20287, 95136, 323, 15393, 358, 574, 5042, 304, 15369, 13, 1115, 374, 264, 1633, 1664, 27975, 9145, 11, 433, 753, 1404, 374, 4832, 11, 323, 433, 753, 2294, 4367, 13, 358, 1101, 3021, 1268, 279, 1933, 9248, 856, 1023, 18381, 439, 1664, 439, 1063, 315, 856, 1023, 9863, 304, 279, 4526, 13, 1102, 753, 2653, 311, 9567, 420, 832, 4999, 2181, 374, 856, 1176, 4673, 57808, 38054, 323, 358, 3021, 433, 13, 578, 502, 1933, 505, 279, 4113, 832, 539, 439, 6453, 439, 279, 832, 753, 358, 5602, 389, 8221, 1463, 627, 40, 2751, 420, 9145, 1566, 1060, 323, 358, 1781, 358, 4344, 16926, 636, 2500, 832, 1606, 433, 753, 1120, 779, 6366, 13, 1102, 374, 1633, 10882, 323, 18809, 856, 18381, 14268, 13, 578, 4367, 315, 279, 9145, 374, 2294, 323, 433, 753, 12223, 22535, 316, 685, 13, 358, 1053, 8659, 7079, 1521, 18381, 311, 5606, 3411, 369, 264, 1579, 22867, 719, 17049, 2027, 4999, 38, 374, 279, 1888, 520, 4395, 13, 1283, 706, 14948, 757, 369, 856, 2626, 11, 856, 7076, 11, 323, 315, 3388, 279, 1455, 3062, 3245, 315, 682, 21060, 2465, 23871, 4999, 40, 1541, 1431, 1440, 1268, 311, 2231, 433, 11, 719, 420, 4673, 57808, 65157, 1065, 355, 57798, 13814, 7445, 20217, 20287, 95136, 374, 11112, 6366, 13, 358, 1097, 1633, 25408, 555, 1202, 5992, 11, 279, 4367, 315, 279, 7384, 1511, 304, 1202, 8246, 323, 279, 9250, 990, 58832, 13, 19418, 358, 7079, 420, 9145, 30, 60998, 4999, 40, 11021, 433, 369, 220, 21, 13, 1484, 20121, 11, 323, 358, 4344, 779, 6380, 449, 420, 2027, 0, 1102, 753, 779, 3177, 323, 10882, 311, 10051, 13, 578, 4367, 374, 1633, 1695, 11, 279, 3769, 374, 1093, 1633, 1579, 22867, 18012, 11, 279, 4519, 527, 502, 11, 323, 433, 3727, 757, 2733, 26861, 13, 1115, 374, 856, 1176, 5873, 994, 358, 617, 279, 892, 311, 3780, 2555, 502, 304, 279, 3938, 4999, 5451, 315, 682, 11, 1095, 757, 1120, 9901, 499, 779, 1790, 369, 279, 8056, 3956, 13, 358, 617, 11021, 220, 20, 3956, 505, 499, 323, 814, 3207, 682, 8056, 304, 4367, 323, 2532, 13, 578, 8544, 527, 1101, 1633, 5505, 439, 1855, 2027, 706, 8208, 1555, 856, 2015, 1920, 14268, 13, 9930, 499, 1578, 4999, 40, 11021, 279, 4673, 57808, 65157, 1065, 355, 57798, 13814, 7445, 20217, 20287, 95136, 480, 1306, 279, 9250, 3477, 358, 1373, 389, 43274, 13, 1115, 374, 264, 1633, 6555, 9145, 323, 433, 374, 11112, 4832, 369, 856, 3966, 13, 358, 1005, 433, 311, 6920, 682, 856, 64028, 11, 20543, 21236, 11, 88078, 323, 1023, 6392, 13, 1102, 374, 1903, 315, 52155, 902, 374, 1695, 719, 539, 1633, 27220, 719, 430, 1288, 387, 3685, 369, 420, 3430, 1486, 627, 128001, 128000, 29305, 292, 84, 1609, 198, 861, 315, 9248, 6476, 555, 13597, 292, 84, 1609, 198, 861, 315, 43682, 430, 13597, 292, 84, 1609, 706, 6476, 304, 198, 25242, 889, 617, 6476, 369, 13597, 292, 84, 1609, 198, 10031, 1101, 279, 5938, 7411, 25, 10031, 1101, 279, 5938, 7411, 512, 29305, 292, 84, 1609, 9636, 12, 1032, 82, 198, 29305, 292, 84, 1609, 9636, 12, 868, 82, 198, 29305, 292, 84, 1609, 9636, 12, 972, 82, 198, 2028, 2199, 574, 3549, 555, 279, 59019, 43602, 2582, 18709, 198, 43, 62766, 70354, 50, 198, 45790, 59719, 198, 860, 682, 9303, 18093, 58332, 19804, 128001 ]
[ -100, 54849, 77434, 304, 39253, 57358, 832, 315, 279, 682, 7394, 2294, 60594, 2785, 388, 11, 12103, 3919, 11680, 265, 339, 11, 520, 220, 24, 5298, 389, 6740, 11, 5887, 220, 23, 13, 350, 953, 527, 400, 914, 13, 7429, 11, 13945, 7376, 369, 77434, 527, 76007, 20239, 23390, 389, 7950, 11, 5887, 220, 975, 1746, 51, 7209, 8, 323, 39315, 32724, 320, 72408, 505, 19149, 20614, 8, 520, 220, 24, 5298, 389, 7884, 11, 6287, 220, 1032, 1746, 868, 4390, 56, 3178, 433, 709, 25, 44851, 374, 470, 258, 529, 1057, 1648, 520, 220, 23, 5298, 389, 7884, 11, 6664, 220, 23, 994, 468, 10018, 5837, 12841, 7504, 1139, 279, 37973, 311, 656, 1077, 2559, 5352, 3245, 520, 279, 31396, 27315, 304, 56054, 13, 393, 2265, 291, 520, 400, 508, 11, 400, 1927, 11, 400, 2397, 323, 400, 5313, 11, 259, 953, 733, 389, 6412, 311, 279, 4689, 586, 520, 220, 605, 309, 389, 6740, 627, 24818, 1445, 25, 3161, 810, 1109, 264, 4376, 21030, 7054, 220, 1272, 13280, 311, 872, 6807, 1389, 2737, 1054, 1548, 5389, 15832, 2893, 36364, 459, 23950, 863, 323, 1054, 2181, 8442, 38707, 264, 56267, 863, 1389, 18217, 2031, 82, 2477, 11151, 49339, 9958, 350, 2979, 417, 690, 387, 20427, 1139, 328, 8869, 753, 304, 13951, 266, 14361, 30304, 311, 8854, 709, 264, 1772, 54566, 21497, 389, 7884, 11, 5887, 220, 966, 13, 25274, 433, 1524, 810, 2523, 11, 279, 77979, 64196, 4409, 16264, 279, 1501, 627, 4387, 25, 1666, 584, 3309, 499, 1566, 2046, 11, 74779, 220, 10828, 1080, 27488, 8128, 279, 29987, 55929, 14986, 449, 3092, 36424, 52256, 304, 1148, 690, 4461, 387, 279, 1620, 1501, 315, 279, 3280, 520, 279, 13951, 266, 14361, 70748, 17979, 5955, 13, 13678, 612, 13818, 1825, 279, 1501, 13, 5810, 753, 279, 502, 3630, 25, 393, 2265, 291, 520, 400, 1758, 11, 400, 2131, 323, 400, 3076, 369, 66092, 83856, 977, 16712, 323, 400, 914, 369, 37125, 26360, 11, 259, 953, 733, 389, 6412, 311, 279, 4689, 586, 520, 220, 605, 309, 389, 6740, 627, 644, 1162, 499, 13942, 433, 25, 5810, 584, 2586, 1981, 10035, 11, 279, 3206, 41848, 529, 220, 1774, 339, 22310, 7364, 374, 53370, 311, 1304, 1202, 1648, 1139, 279, 8691, 9323, 5955, 304, 56054, 11, 719, 1193, 5460, 88, 12201, 11, 386, 19501, 25227, 17007, 323, 11291, 350, 672, 527, 37606, 13, 3639, 30, 2360, 47400, 22050, 30, 350, 953, 733, 389, 6412, 389, 7884, 627, 644, 1162, 499, 13942, 433, 11, 3744, 8105, 25, 13625, 502, 5039, 1051, 7376, 369, 279, 4498, 21497, 13470, 520, 578, 42313, 304, 56054, 1389, 10058, 29550, 540, 1411, 612, 279, 23047, 388, 11, 19332, 92933, 73980, 583, 87, 449, 452, 616, 648, 90970, 11, 6941, 5960, 16381, 449, 55835, 1611, 23376, 3095, 1030, 323, 56637, 4349, 9799, 13, 350, 953, 733, 389, 6412, 311, 279, 4689, 586, 389, 6740, 11, 5651, 220, 1114, 627, 644, 1162, 499, 13942, 433, 11, 3744, 14767, 25, 55770, 77740, 18688, 13972, 29477, 818, 374, 53370, 311, 471, 311, 279, 31396, 27315, 304, 56054, 304, 6664, 1389, 420, 892, 369, 264, 13839, 45166, 5178, 13, 350, 953, 733, 389, 6412, 389, 6740, 627, 40, 4070, 25720, 433, 704, 25, 682, 279, 2294, 5039, 430, 66526, 520, 21594, 1288, 4070, 46531, 311, 2363, 420, 7474, 527, 2133, 311, 10349, 77434, 13, 39253, 11, 12551, 1618, 358, 2586, 0, 128001, -100, 7927, 2587, 5918, 2162, 30675, 264, 5916, 315, 35018, 325, 430, 690, 387, 12886, 1701, 420, 56230, 2587, 445, 36541, 18766, 52068, 301, 3161, 6007, 13, 1115, 7060, 990, 315, 1989, 374, 6335, 398, 1450, 49267, 505, 6573, 43288, 45016, 304, 79365, 13, 578, 28639, 3352, 2259, 315, 279, 9998, 323, 279, 37067, 3649, 389, 279, 26976, 301, 11705, 264, 31467, 16975, 304, 701, 5496, 3130, 13, 128001, -100, 75133, 315, 2956, 11348, 1226, 9762, 5370, 4595, 315, 19758, 8245, 505, 1057, 3932, 11, 439, 11497, 810, 7373, 3770, 13, 1226, 1253, 1005, 420, 19758, 8245, 311, 81938, 323, 7417, 279, 8471, 11, 311, 2187, 1057, 3932, 311, 743, 709, 264, 1217, 2759, 323, 5643, 11, 311, 3729, 3932, 11, 311, 21054, 872, 7540, 369, 279, 8471, 11, 311, 24564, 1268, 3932, 29166, 279, 16406, 11, 323, 439, 6062, 743, 13544, 304, 1057, 19406, 11216, 13, 1789, 3187, 11, 584, 6667, 19758, 8245, 1778, 439, 1057, 3932, 6, 836, 11, 2613, 2686, 11, 323, 7074, 2038, 627, 1687, 1101, 584, 9651, 5371, 323, 3335, 2038, 389, 1057, 3622, 18929, 505, 1057, 3932, 6, 7074, 2737, 6933, 2686, 323, 30, 16634, 6, 2038, 11, 279, 2199, 11472, 11, 279, 892, 7543, 389, 1884, 6959, 11, 2038, 27600, 369, 389, 1057, 16406, 11, 2680, 3115, 323, 13003, 11, 323, 1023, 13443, 13, 1226, 1005, 420, 2038, 311, 8891, 323, 24564, 1005, 315, 279, 16406, 323, 279, 8471, 323, 369, 279, 16406, 596, 11156, 8735, 11, 311, 5376, 1057, 16406, 596, 15293, 323, 1217, 2269, 5147, 49958, 11, 323, 311, 2731, 52056, 433, 311, 1057, 15613, 6, 3966, 13, 1226, 3539, 1023, 5220, 323, 1274, 311, 2804, 9256, 389, 1057, 17981, 323, 1205, 311, 4430, 1217, 2038, 449, 1124, 311, 3493, 279, 8471, 311, 1057, 3932, 13, 11115, 9539, 5300, 11, 1778, 4948, 9875, 656, 539, 617, 904, 1314, 311, 1005, 279, 19758, 8245, 584, 4430, 449, 1124, 7953, 1148, 374, 5995, 311, 7945, 603, 627, 14809, 1167, 37161, 44912, 13, 1901, 26004, 220, 679, 23, 56045, 6051, 11887, 555, 279, 50566, 39227, 304, 1212, 315, 5936, 13, 2100, 584, 420, 2027, 374, 1101, 3967, 439, 279, 10868, 20206, 304, 315, 1023, 2027, 4025, 37161, 31675, 400, 614, 614, 220, 1313, 3135, 13, 11106, 25, 50566, 39227, 1901, 37161, 220, 679, 23, 13, 16, 12468, 865, 1227, 6177, 5651, 220, 679, 23, 13, 13374, 25, 220, 679, 23, 13, 16, 5666, 13, 16560, 18152, 5370, 4442, 311, 5376, 1901, 26004, 27863, 287, 323, 10873, 4732, 1087, 953, 39227, 1901, 26004, 220, 679, 23, 56045, 8797, 5422, 4469, 8745, 4800, 627, 2028, 5764, 4948, 4717, 5220, 323, 7931, 20011, 555, 603, 311, 28696, 1057, 8471, 11, 2737, 279, 17575, 315, 13709, 3600, 11, 4729, 6373, 11, 5000, 28975, 323, 4689, 16048, 315, 279, 8471, 627, 128001, -100, 2520, 23782, 11, 29935, 828, 527, 1694, 1511, 304, 30029, 11, 88134, 11, 3090, 5070, 323, 18768, 5392, 4688, 9809, 4688, 39646, 74158, 437, 615, 13021, 323, 16967, 13, 1115, 3857, 5825, 1162, 7978, 4028, 23782, 430, 20461, 279, 4754, 315, 33975, 2474, 11, 4923, 1065, 266, 323, 1101, 48090, 51158, 828, 304, 3495, 323, 15325, 3851, 627, 21119, 1441, 2474, 828, 3493, 10708, 369, 2204, 23747, 19641, 4595, 11, 10484, 7922, 39999, 77140, 58758, 320, 88, 7052, 8, 323, 26206, 627, 6334, 3851, 5789, 2997, 5021, 9606, 22654, 11, 57470, 315, 64071, 3504, 323, 2349, 18468, 11, 449, 1521, 84015, 505, 279, 5190, 29079, 11175, 323, 11900, 315, 10401, 627, 24374, 944, 1260, 17910, 315, 71699, 2997, 86733, 11, 16312, 287, 323, 82339, 18852, 323, 1521, 828, 649, 1514, 264, 1401, 3560, 304, 6136, 9606, 21934, 13, 128001, -100, 8161, 1431, 25760, 369, 264, 43828, 9145, 430, 649, 1431, 6920, 4395, 499, 1205, 13, 42812, 1057, 4673, 57808, 17308, 18381, 369, 459, 3072, 430, 3521, 2053, 304, 1475, 1648, 627, 40, 2751, 420, 9145, 1120, 1606, 433, 5992, 1695, 13, 1102, 374, 539, 11646, 11, 719, 433, 374, 2103, 264, 1633, 1695, 2027, 13, 1102, 374, 1120, 264, 2697, 11493, 1109, 358, 3685, 13, 2030, 279, 4367, 315, 279, 3769, 323, 990, 58832, 527, 682, 9250, 627, 32, 20441, 398, 6366, 9145, 430, 649, 387, 24634, 555, 5606, 13, 578, 1404, 374, 4832, 369, 18254, 323, 279, 4367, 374, 1633, 1695, 11, 779, 433, 753, 5922, 12096, 459, 11646, 832, 422, 499, 649, 627, 40, 574, 3411, 369, 264, 4673, 57808, 9145, 11, 719, 358, 7846, 1431, 1505, 4205, 430, 1695, 13, 358, 50157, 5304, 279, 57798, 13814, 7445, 20217, 20287, 95136, 323, 15393, 358, 574, 5042, 304, 15369, 13, 1115, 374, 264, 1633, 1664, 27975, 9145, 11, 433, 753, 1404, 374, 4832, 11, 323, 433, 753, 2294, 4367, 13, 358, 1101, 3021, 1268, 279, 1933, 9248, 856, 1023, 18381, 439, 1664, 439, 1063, 315, 856, 1023, 9863, 304, 279, 4526, 13, 1102, 753, 2653, 311, 9567, 420, 832, 4999, 2181, 374, 856, 1176, 4673, 57808, 38054, 323, 358, 3021, 433, 13, 578, 502, 1933, 505, 279, 4113, 832, 539, 439, 6453, 439, 279, 832, 753, 358, 5602, 389, 8221, 1463, 627, 40, 2751, 420, 9145, 1566, 1060, 323, 358, 1781, 358, 4344, 16926, 636, 2500, 832, 1606, 433, 753, 1120, 779, 6366, 13, 1102, 374, 1633, 10882, 323, 18809, 856, 18381, 14268, 13, 578, 4367, 315, 279, 9145, 374, 2294, 323, 433, 753, 12223, 22535, 316, 685, 13, 358, 1053, 8659, 7079, 1521, 18381, 311, 5606, 3411, 369, 264, 1579, 22867, 719, 17049, 2027, 4999, 38, 374, 279, 1888, 520, 4395, 13, 1283, 706, 14948, 757, 369, 856, 2626, 11, 856, 7076, 11, 323, 315, 3388, 279, 1455, 3062, 3245, 315, 682, 21060, 2465, 23871, 4999, 40, 1541, 1431, 1440, 1268, 311, 2231, 433, 11, 719, 420, 4673, 57808, 65157, 1065, 355, 57798, 13814, 7445, 20217, 20287, 95136, 374, 11112, 6366, 13, 358, 1097, 1633, 25408, 555, 1202, 5992, 11, 279, 4367, 315, 279, 7384, 1511, 304, 1202, 8246, 323, 279, 9250, 990, 58832, 13, 19418, 358, 7079, 420, 9145, 30, 60998, 4999, 40, 11021, 433, 369, 220, 21, 13, 1484, 20121, 11, 323, 358, 4344, 779, 6380, 449, 420, 2027, 0, 1102, 753, 779, 3177, 323, 10882, 311, 10051, 13, 578, 4367, 374, 1633, 1695, 11, 279, 3769, 374, 1093, 1633, 1579, 22867, 18012, 11, 279, 4519, 527, 502, 11, 323, 433, 3727, 757, 2733, 26861, 13, 1115, 374, 856, 1176, 5873, 994, 358, 617, 279, 892, 311, 3780, 2555, 502, 304, 279, 3938, 4999, 5451, 315, 682, 11, 1095, 757, 1120, 9901, 499, 779, 1790, 369, 279, 8056, 3956, 13, 358, 617, 11021, 220, 20, 3956, 505, 499, 323, 814, 3207, 682, 8056, 304, 4367, 323, 2532, 13, 578, 8544, 527, 1101, 1633, 5505, 439, 1855, 2027, 706, 8208, 1555, 856, 2015, 1920, 14268, 13, 9930, 499, 1578, 4999, 40, 11021, 279, 4673, 57808, 65157, 1065, 355, 57798, 13814, 7445, 20217, 20287, 95136, 480, 1306, 279, 9250, 3477, 358, 1373, 389, 43274, 13, 1115, 374, 264, 1633, 6555, 9145, 323, 433, 374, 11112, 4832, 369, 856, 3966, 13, 358, 1005, 433, 311, 6920, 682, 856, 64028, 11, 20543, 21236, 11, 88078, 323, 1023, 6392, 13, 1102, 374, 1903, 315, 52155, 902, 374, 1695, 719, 539, 1633, 27220, 719, 430, 1288, 387, 3685, 369, 420, 3430, 1486, 627, 128001, -100, 29305, 292, 84, 1609, 198, 861, 315, 9248, 6476, 555, 13597, 292, 84, 1609, 198, 861, 315, 43682, 430, 13597, 292, 84, 1609, 706, 6476, 304, 198, 25242, 889, 617, 6476, 369, 13597, 292, 84, 1609, 198, 10031, 1101, 279, 5938, 7411, 25, 10031, 1101, 279, 5938, 7411, 512, 29305, 292, 84, 1609, 9636, 12, 1032, 82, 198, 29305, 292, 84, 1609, 9636, 12, 868, 82, 198, 29305, 292, 84, 1609, 9636, 12, 972, 82, 198, 2028, 2199, 574, 3549, 555, 279, 59019, 43602, 2582, 18709, 198, 43, 62766, 70354, 50, 198, 45790, 59719, 198, 860, 682, 9303, 18093, 58332, 19804, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102 ]
[ 128000, 2746, 499, 617, 6773, 430, 25549, 374, 279, 1888, 3072, 369, 499, 11, 433, 596, 892, 311, 3240, 279, 2778, 369, 264, 22542, 25549, 14065, 304, 94611, 13, 1472, 1541, 956, 1390, 311, 990, 449, 1120, 904, 14065, 13, 1472, 1205, 311, 5226, 449, 459, 14065, 889, 690, 387, 10978, 11, 65451, 323, 889, 92606, 13750, 13, 1115, 374, 539, 459, 4228, 1920, 311, 46753, 13, 2100, 11, 1148, 1288, 499, 1427, 369, 994, 19301, 264, 25549, 14065, 5380, 4054, 315, 279, 1888, 5627, 311, 1505, 264, 22542, 14065, 374, 1555, 3492, 315, 11013, 13, 19513, 449, 3070, 323, 4885, 889, 617, 1027, 50592, 13, 7531, 704, 1148, 433, 574, 1093, 311, 990, 449, 872, 14065, 505, 1212, 311, 6381, 13, 1442, 814, 649, 3041, 264, 49592, 28782, 11, 433, 1053, 387, 264, 7941, 4623, 311, 520, 3325, 617, 264, 29173, 449, 430, 14065, 627, 10596, 369, 459, 14065, 889, 706, 3217, 304, 3070, 2383, 11, 11951, 1579, 12, 10053, 25549, 13, 1472, 1541, 956, 1390, 311, 990, 449, 459, 14065, 889, 1587, 539, 617, 3217, 304, 832, 315, 1521, 5789, 13, 1472, 1205, 4423, 889, 706, 279, 3217, 304, 420, 2115, 994, 433, 4131, 311, 52945, 704, 315, 5590, 323, 36666, 304, 4156, 315, 3070, 2383, 24958, 627, 22170, 311, 990, 449, 459, 14065, 889, 374, 2254, 311, 701, 29101, 13, 1102, 374, 8831, 311, 990, 449, 459, 14065, 889, 12659, 3345, 311, 1405, 499, 3974, 4856, 1109, 1405, 499, 990, 13, 2435, 690, 617, 3217, 304, 279, 2254, 5590, 1887, 627, 10086, 459, 14065, 889, 690, 3493, 499, 449, 459, 10978, 15813, 315, 701, 1162, 323, 1148, 499, 649, 1755, 304, 323, 704, 315, 5590, 627, 12389, 499, 3940, 264, 2778, 369, 264, 25549, 14065, 304, 24097, 30, 1442, 779, 11, 387, 2771, 311, 5268, 832, 889, 20628, 682, 315, 279, 3673, 9932, 304, 420, 1772, 13, 1472, 690, 1390, 311, 3240, 3318, 389, 279, 1920, 7214, 779, 499, 649, 636, 704, 8469, 315, 701, 32080, 627, 3692, 25, 11258, 596, 8940, 16716, 11, 330, 605, 26788, 1789, 8593, 287, 578, 10291, 8940, 16716, 18919, 1359, 25790, 4723, 13, 220, 605, 11, 220, 679, 22, 128001, 128000, 16, 13, 8595, 656, 584, 1288, 4619, 1180, 3432, 5380, 4054, 315, 279, 8706, 24525, 315, 279, 17510, 38043, 9478, 374, 279, 4754, 311, 52123, 61319, 279, 41265, 315, 5557, 9327, 11, 902, 706, 24411, 1057, 1917, 11, 311, 27651, 279, 11774, 315, 56028, 2890, 8276, 323, 8405, 2731, 11, 6220, 11, 6307, 1935, 2512, 315, 682, 315, 279, 13, 14636, 3117, 279, 6593, 323, 499, 649, 2512, 1887, 1193, 706, 3940, 311, 33294, 279, 6140, 315, 3515, 2523, 449, 828, 323, 499, 649, 5557, 304, 279, 264, 29054, 477, 2254, 2237, 13, 5751, 1633, 1866, 98741, 374, 369, 264, 2890, 8276, 323, 2512, 2068, 430, 6276, 15613, 311, 7068, 39345, 17808, 2671, 11, 439, 779, 1790, 810, 27220, 11, 311, 3568, 810, 13750, 3515, 8624, 323, 499, 649, 53317, 994, 433, 48282, 11, 1101, 311, 617, 6380, 11, 44387, 6439, 304, 10195, 1667, 26, 264, 2890, 8276, 323, 2512, 323, 6666, 2068, 1405, 5557, 1253, 1520, 22118, 93334, 323, 499, 1253, 7417, 40800, 17910, 449, 279, 62945, 627, 14336, 998, 387, 3738, 2853, 7524, 3794, 35748, 529, 1389, 6106, 430, 1510, 323, 499, 690, 14827, 10708, 304, 279, 13312, 8108, 279, 21913, 323, 499, 690, 7916, 279, 5922, 315, 2890, 6012, 323, 499, 690, 2532, 9889, 3201, 505, 1888, 2890, 8276, 323, 2512, 912, 5030, 6376, 627, 4516, 433, 2955, 5039, 499, 279, 1648, 584, 11, 3235, 11, 1304, 459, 5149, 311, 9502, 420, 4442, 323, 499, 690, 1120, 1148, 433, 690, 3152, 3515, 6444, 11, 8365, 6959, 11, 7980, 323, 499, 1253, 64756, 627, 791, 323, 499, 649, 2512, 2068, 369, 279, 578, 29292, 26135, 83, 32838, 10434, 459, 7859, 323, 499, 1253, 72859, 810, 8147, 8396, 2731, 369, 1690, 1667, 13, 539, 11, 49649, 4871, 279, 2068, 527, 10671, 1524, 810, 10186, 627, 9710, 832, 11829, 2890, 323, 499, 649, 23460, 20428, 25, 763, 279, 1567, 701, 3224, 14865, 311, 10959, 14243, 8173, 304, 65411, 1243, 3293, 31003, 2391, 279, 5052, 14209, 1755, 32737, 17037, 13656, 11, 2890, 93334, 17037, 94415, 11, 323, 499, 649, 1057, 1633, 1866, 8824, 311, 3887, 11190, 279, 502, 2532, 374, 39313, 704, 555, 279, 1205, 311, 8493, 6908, 15055, 315, 29160, 449, 279, 42241, 5766, 481, 19405, 627, 41625, 11829, 2512, 323, 499, 690, 4367, 20428, 25, 11115, 602, 44909, 11196, 9889, 11, 1005, 13312, 323, 499, 649, 6678, 1523, 12062, 304, 1948, 4367, 323, 499, 649, 9232, 704, 8838, 11196, 11, 6978, 529, 47141, 1205, 690, 733, 653, 4150, 11, 1274, 690, 387, 5674, 902, 1205, 311, 617, 3719, 64688, 11, 323, 499, 690, 33781, 12062, 304, 16296, 690, 55250, 19846, 627, 18, 11829, 5652, 3300, 323, 499, 1253, 5178, 13225, 25, 1442, 584, 1541, 1431, 2489, 26569, 6020, 1862, 5643, 449, 7029, 82105, 323, 3629, 44378, 2068, 92126, 11, 279, 1121, 1053, 15502, 1063, 20955, 315, 66281, 5865, 11, 17162, 15749, 11, 57096, 11, 323, 13693, 9017, 279, 7878, 10105, 13, 578, 20349, 374, 1903, 11201, 315, 279, 54182, 10824, 4028, 279, 11196, 3600, 1389, 8952, 11, 1274, 323, 499, 649, 13018, 11, 6593, 323, 499, 649, 4443, 11196, 11, 65693, 323, 42887, 33483, 13, 1115, 6070, 2686, 279, 3575, 3201, 505, 6848, 389, 1268, 311, 33294, 279, 4754, 315, 2038, 13312, 323, 499, 690, 6492, 311, 7945, 2723, 1521, 33251, 13, 128001, 128000, 95325, 29847, 1389, 4410, 2630, 3314, 753, 220, 3443, 20085, 3541, 38483, 2128, 574, 264, 13946, 11, 323, 45563, 27155, 79, 4657, 17439, 279, 832, 73601, 323, 2380, 73601, 43515, 4455, 439, 4410, 2630, 3314, 11299, 311, 9259, 9304, 11, 220, 10861, 12, 7322, 304, 264, 19091, 16587, 3449, 520, 4410, 2630, 753, 469, 398, 23563, 389, 7884, 627, 791, 41896, 4835, 32951, 2128, 315, 11876, 398, 3053, 78, 11, 350, 689, 4366, 1082, 2933, 11, 53425, 362, 3833, 323, 24101, 426, 24889, 8220, 304, 220, 19, 25, 605, 13, 2614, 6622, 627, 81450, 79, 4657, 8738, 264, 7060, 3280, 389, 279, 4580, 11, 82223, 220, 16590, 13, 508, 304, 279, 2380, 73601, 10937, 11, 323, 220, 15451, 13, 1399, 389, 279, 832, 73601, 4580, 627, 24188, 2630, 17503, 311, 220, 15, 12, 18, 304, 19091, 20628, 420, 3280, 13, 578, 41896, 4835, 690, 1935, 264, 2046, 1022, 505, 10937, 369, 279, 37250, 1464, 1603, 13758, 311, 1957, 520, 279, 15013, 6460, 15217, 48854, 389, 6790, 220, 21, 520, 549, 26909, 9607, 472, 33780, 627, 128001, 128000, 10149, 279, 6781, 16292, 430, 264, 79054, 6866, 304, 904, 961, 315, 459, 21283, 3387, 1950, 4562, 1614, 304, 11104, 10384, 1603, 220, 16, 5936, 220, 2366, 18, 5380, 29784, 323, 12324, 617, 2163, 11990, 304, 11104, 10384, 13176, 4754, 79054, 320, 27844, 323, 37963, 21021, 11, 10384, 8423, 11, 50521, 12369, 8398, 28673, 55982, 482, 39546, 13782, 570, 578, 23362, 12332, 315, 4410, 11904, 4273, 320, 7650, 3387, 1950, 8, 374, 1903, 709, 315, 37755, 4562, 5961, 430, 527, 7559, 304, 11104, 10384, 320, 7650, 3387, 1950, 570, 13440, 264, 4562, 1614, 374, 22340, 1053, 387, 4998, 2229, 13, 1789, 4689, 2038, 389, 1268, 2138, 1572, 527, 14610, 11, 1518, 25, 45300, 13, 578, 13122, 315, 79054, 4787, 2085, 264, 6781, 79054, 18489, 1053, 539, 1797, 13, 128001 ]
[ -100, 2746, 499, 617, 6773, 430, 25549, 374, 279, 1888, 3072, 369, 499, 11, 433, 596, 892, 311, 3240, 279, 2778, 369, 264, 22542, 25549, 14065, 304, 94611, 13, 1472, 1541, 956, 1390, 311, 990, 449, 1120, 904, 14065, 13, 1472, 1205, 311, 5226, 449, 459, 14065, 889, 690, 387, 10978, 11, 65451, 323, 889, 92606, 13750, 13, 1115, 374, 539, 459, 4228, 1920, 311, 46753, 13, 2100, 11, 1148, 1288, 499, 1427, 369, 994, 19301, 264, 25549, 14065, 5380, 4054, 315, 279, 1888, 5627, 311, 1505, 264, 22542, 14065, 374, 1555, 3492, 315, 11013, 13, 19513, 449, 3070, 323, 4885, 889, 617, 1027, 50592, 13, 7531, 704, 1148, 433, 574, 1093, 311, 990, 449, 872, 14065, 505, 1212, 311, 6381, 13, 1442, 814, 649, 3041, 264, 49592, 28782, 11, 433, 1053, 387, 264, 7941, 4623, 311, 520, 3325, 617, 264, 29173, 449, 430, 14065, 627, 10596, 369, 459, 14065, 889, 706, 3217, 304, 3070, 2383, 11, 11951, 1579, 12, 10053, 25549, 13, 1472, 1541, 956, 1390, 311, 990, 449, 459, 14065, 889, 1587, 539, 617, 3217, 304, 832, 315, 1521, 5789, 13, 1472, 1205, 4423, 889, 706, 279, 3217, 304, 420, 2115, 994, 433, 4131, 311, 52945, 704, 315, 5590, 323, 36666, 304, 4156, 315, 3070, 2383, 24958, 627, 22170, 311, 990, 449, 459, 14065, 889, 374, 2254, 311, 701, 29101, 13, 1102, 374, 8831, 311, 990, 449, 459, 14065, 889, 12659, 3345, 311, 1405, 499, 3974, 4856, 1109, 1405, 499, 990, 13, 2435, 690, 617, 3217, 304, 279, 2254, 5590, 1887, 627, 10086, 459, 14065, 889, 690, 3493, 499, 449, 459, 10978, 15813, 315, 701, 1162, 323, 1148, 499, 649, 1755, 304, 323, 704, 315, 5590, 627, 12389, 499, 3940, 264, 2778, 369, 264, 25549, 14065, 304, 24097, 30, 1442, 779, 11, 387, 2771, 311, 5268, 832, 889, 20628, 682, 315, 279, 3673, 9932, 304, 420, 1772, 13, 1472, 690, 1390, 311, 3240, 3318, 389, 279, 1920, 7214, 779, 499, 649, 636, 704, 8469, 315, 701, 32080, 627, 3692, 25, 11258, 596, 8940, 16716, 11, 330, 605, 26788, 1789, 8593, 287, 578, 10291, 8940, 16716, 18919, 1359, 25790, 4723, 13, 220, 605, 11, 220, 679, 22, 128001, -100, 16, 13, 8595, 656, 584, 1288, 4619, 1180, 3432, 5380, 4054, 315, 279, 8706, 24525, 315, 279, 17510, 38043, 9478, 374, 279, 4754, 311, 52123, 61319, 279, 41265, 315, 5557, 9327, 11, 902, 706, 24411, 1057, 1917, 11, 311, 27651, 279, 11774, 315, 56028, 2890, 8276, 323, 8405, 2731, 11, 6220, 11, 6307, 1935, 2512, 315, 682, 315, 279, 13, 14636, 3117, 279, 6593, 323, 499, 649, 2512, 1887, 1193, 706, 3940, 311, 33294, 279, 6140, 315, 3515, 2523, 449, 828, 323, 499, 649, 5557, 304, 279, 264, 29054, 477, 2254, 2237, 13, 5751, 1633, 1866, 98741, 374, 369, 264, 2890, 8276, 323, 2512, 2068, 430, 6276, 15613, 311, 7068, 39345, 17808, 2671, 11, 439, 779, 1790, 810, 27220, 11, 311, 3568, 810, 13750, 3515, 8624, 323, 499, 649, 53317, 994, 433, 48282, 11, 1101, 311, 617, 6380, 11, 44387, 6439, 304, 10195, 1667, 26, 264, 2890, 8276, 323, 2512, 323, 6666, 2068, 1405, 5557, 1253, 1520, 22118, 93334, 323, 499, 1253, 7417, 40800, 17910, 449, 279, 62945, 627, 14336, 998, 387, 3738, 2853, 7524, 3794, 35748, 529, 1389, 6106, 430, 1510, 323, 499, 690, 14827, 10708, 304, 279, 13312, 8108, 279, 21913, 323, 499, 690, 7916, 279, 5922, 315, 2890, 6012, 323, 499, 690, 2532, 9889, 3201, 505, 1888, 2890, 8276, 323, 2512, 912, 5030, 6376, 627, 4516, 433, 2955, 5039, 499, 279, 1648, 584, 11, 3235, 11, 1304, 459, 5149, 311, 9502, 420, 4442, 323, 499, 690, 1120, 1148, 433, 690, 3152, 3515, 6444, 11, 8365, 6959, 11, 7980, 323, 499, 1253, 64756, 627, 791, 323, 499, 649, 2512, 2068, 369, 279, 578, 29292, 26135, 83, 32838, 10434, 459, 7859, 323, 499, 1253, 72859, 810, 8147, 8396, 2731, 369, 1690, 1667, 13, 539, 11, 49649, 4871, 279, 2068, 527, 10671, 1524, 810, 10186, 627, 9710, 832, 11829, 2890, 323, 499, 649, 23460, 20428, 25, 763, 279, 1567, 701, 3224, 14865, 311, 10959, 14243, 8173, 304, 65411, 1243, 3293, 31003, 2391, 279, 5052, 14209, 1755, 32737, 17037, 13656, 11, 2890, 93334, 17037, 94415, 11, 323, 499, 649, 1057, 1633, 1866, 8824, 311, 3887, 11190, 279, 502, 2532, 374, 39313, 704, 555, 279, 1205, 311, 8493, 6908, 15055, 315, 29160, 449, 279, 42241, 5766, 481, 19405, 627, 41625, 11829, 2512, 323, 499, 690, 4367, 20428, 25, 11115, 602, 44909, 11196, 9889, 11, 1005, 13312, 323, 499, 649, 6678, 1523, 12062, 304, 1948, 4367, 323, 499, 649, 9232, 704, 8838, 11196, 11, 6978, 529, 47141, 1205, 690, 733, 653, 4150, 11, 1274, 690, 387, 5674, 902, 1205, 311, 617, 3719, 64688, 11, 323, 499, 690, 33781, 12062, 304, 16296, 690, 55250, 19846, 627, 18, 11829, 5652, 3300, 323, 499, 1253, 5178, 13225, 25, 1442, 584, 1541, 1431, 2489, 26569, 6020, 1862, 5643, 449, 7029, 82105, 323, 3629, 44378, 2068, 92126, 11, 279, 1121, 1053, 15502, 1063, 20955, 315, 66281, 5865, 11, 17162, 15749, 11, 57096, 11, 323, 13693, 9017, 279, 7878, 10105, 13, 578, 20349, 374, 1903, 11201, 315, 279, 54182, 10824, 4028, 279, 11196, 3600, 1389, 8952, 11, 1274, 323, 499, 649, 13018, 11, 6593, 323, 499, 649, 4443, 11196, 11, 65693, 323, 42887, 33483, 13, 1115, 6070, 2686, 279, 3575, 3201, 505, 6848, 389, 1268, 311, 33294, 279, 4754, 315, 2038, 13312, 323, 499, 690, 6492, 311, 7945, 2723, 1521, 33251, 13, 128001, -100, 95325, 29847, 1389, 4410, 2630, 3314, 753, 220, 3443, 20085, 3541, 38483, 2128, 574, 264, 13946, 11, 323, 45563, 27155, 79, 4657, 17439, 279, 832, 73601, 323, 2380, 73601, 43515, 4455, 439, 4410, 2630, 3314, 11299, 311, 9259, 9304, 11, 220, 10861, 12, 7322, 304, 264, 19091, 16587, 3449, 520, 4410, 2630, 753, 469, 398, 23563, 389, 7884, 627, 791, 41896, 4835, 32951, 2128, 315, 11876, 398, 3053, 78, 11, 350, 689, 4366, 1082, 2933, 11, 53425, 362, 3833, 323, 24101, 426, 24889, 8220, 304, 220, 19, 25, 605, 13, 2614, 6622, 627, 81450, 79, 4657, 8738, 264, 7060, 3280, 389, 279, 4580, 11, 82223, 220, 16590, 13, 508, 304, 279, 2380, 73601, 10937, 11, 323, 220, 15451, 13, 1399, 389, 279, 832, 73601, 4580, 627, 24188, 2630, 17503, 311, 220, 15, 12, 18, 304, 19091, 20628, 420, 3280, 13, 578, 41896, 4835, 690, 1935, 264, 2046, 1022, 505, 10937, 369, 279, 37250, 1464, 1603, 13758, 311, 1957, 520, 279, 15013, 6460, 15217, 48854, 389, 6790, 220, 21, 520, 549, 26909, 9607, 472, 33780, 627, 128001, -100, 10149, 279, 6781, 16292, 430, 264, 79054, 6866, 304, 904, 961, 315, 459, 21283, 3387, 1950, 4562, 1614, 304, 11104, 10384, 1603, 220, 16, 5936, 220, 2366, 18, 5380, 29784, 323, 12324, 617, 2163, 11990, 304, 11104, 10384, 13176, 4754, 79054, 320, 27844, 323, 37963, 21021, 11, 10384, 8423, 11, 50521, 12369, 8398, 28673, 55982, 482, 39546, 13782, 570, 578, 23362, 12332, 315, 4410, 11904, 4273, 320, 7650, 3387, 1950, 8, 374, 1903, 709, 315, 37755, 4562, 5961, 430, 527, 7559, 304, 11104, 10384, 320, 7650, 3387, 1950, 570, 13440, 264, 4562, 1614, 374, 22340, 1053, 387, 4998, 2229, 13, 1789, 4689, 2038, 389, 1268, 2138, 1572, 527, 14610, 11, 1518, 25, 45300, 13, 578, 13122, 315, 79054, 4787, 2085, 264, 6781, 79054, 18489, 1053, 539, 1797, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129 ]
[ 128000, 15425, 32215, 356, 1044, 2082, 369, 279, 1620, 2082, 382, 13857, 320, 34, 8, 220, 679, 24, 11, 366, 7687, 397, 2028, 2447, 374, 1234, 279, 15210, 5842, 382, 15425, 1527, 20061, 1179, 1796, 11, 2991, 1432, 2, 7460, 538, 8365, 627, 11954, 40451, 65650, 284, 12713, 1019, 1505, 13013, 1581, 2809, 49087, 612, 79, 1423, 629, 396, 296, 14696, 1581, 284, 220, 15, 280, 396, 88536, 10793, 284, 220, 15, 280, 1872, 487, 3295, 27, 1600, 89721, 29, 296, 46830, 288, 401, 54605, 2, 23977, 2082, 369, 4320, 627, 11954, 40451, 32452, 284, 3270, 1019, 7460, 487, 3990, 13013, 1581, 2809, 49087, 612, 79, 1423, 340, 517, 262, 2687, 1227, 530, 5286, 284, 281, 1423, 70063, 66370, 82, 545, 262, 369, 320, 2190, 530, 602, 284, 220, 15, 26, 602, 366, 1487, 487, 1083, 1209, 396, 50348, 1423, 70063, 66370, 82, 1535, 220, 975, 1237, 602, 3569, 286, 5286, 1447, 1819, 2557, 1227, 530, 50348, 1423, 673, 66370, 1998, 570, 456, 38863, 367, 7, 15, 8, 1134, 320, 72, 9, 19, 489, 220, 20, 3317, 262, 369, 31475, 296, 14696, 1581, 366, 272, 14696, 6504, 11522, 26, 296, 14696, 1581, 2516, 341, 286, 422, 320, 66, 14696, 6504, 288, 12335, 14696, 1581, 60, 624, 5286, 340, 310, 1464, 280, 262, 457, 534, 54605, 2, 50366, 734, 2262, 627, 11954, 40451, 6977, 54937, 284, 3270, 262, 528, 2543, 284, 281, 1423, 673, 66370, 7, 15, 570, 456, 20794, 4472, 545, 262, 422, 320, 79, 1423, 673, 28597, 368, 624, 220, 15, 1024, 2543, 624, 220, 16, 340, 286, 1505, 13013, 1581, 1319, 1423, 629, 262, 422, 1533, 74, 86295, 5579, 1393, 296, 14696, 1581, 624, 272, 14696, 6504, 11522, 1393, 88536, 10793, 2669, 597, 6531, 57036, 12335, 14696, 1581, 2608, 286, 471, 272, 35, 546, 86295, 401, 262, 3313, 612, 58723, 284, 597, 2460, 61424, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 422, 320, 413, 871, 43348, 2546, 2455, 286, 471, 272, 35, 546, 86295, 401, 262, 3313, 612, 43590, 284, 597, 2460, 71846, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 422, 320, 43590, 58, 413, 482, 220, 16, 60, 624, 48204, 5482, 57655, 2459, 10874, 340, 286, 471, 272, 35, 546, 86295, 401, 262, 88536, 10793, 6110, 220, 16, 280, 262, 471, 5703, 94992, 482, 220, 16, 11, 320, 2783, 14797, 8, 58723, 58, 413, 482, 220, 16, 2622, 54605, 2, 16261, 734, 2262, 627, 11954, 40451, 87867, 284, 3270, 262, 88536, 10793, 1447, 220, 17, 280, 54605, 2, 55379, 734, 2262, 627, 11954, 40451, 2712, 2279, 1242, 284, 3270, 262, 296, 46830, 288, 284, 1487, 487, 3295, 27, 1600, 89721, 2284, 79, 1423, 70063, 66370, 82, 1535, 48204, 5482, 32646, 317, 262, 422, 1533, 74, 46830, 5579, 1393, 296, 14696, 1581, 624, 272, 14696, 6504, 11522, 340, 286, 471, 296, 46830, 288, 401, 262, 3313, 612, 43590, 284, 597, 2460, 71846, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 528, 445, 284, 1487, 487, 1083, 1209, 396, 50348, 1423, 70063, 66370, 82, 1535, 597, 6531, 57036, 12335, 14696, 1581, 60, 482, 88536, 10793, 317, 262, 369, 320, 396, 602, 284, 220, 15, 26, 602, 366, 445, 26, 602, 3569, 286, 296, 46830, 288, 1004, 60, 284, 320, 1600, 89721, 8, 43590, 1004, 4926, 262, 471, 296, 46830, 288, 280, 54605, 2, 1050, 41711, 734, 2262, 627, 11954, 40451, 2241, 4592, 984, 284, 3270, 262, 369, 320, 2190, 530, 602, 284, 220, 15, 26, 602, 366, 281, 71846, 2546, 2178, 602, 2516, 341, 286, 422, 320, 79, 71846, 1004, 60, 976, 48204, 5482, 32646, 340, 310, 88536, 10793, 1447, 1819, 79, 71846, 1004, 60, 624, 296, 46830, 288, 1004, 2526, 353, 220, 17, 8, 482, 220, 16, 280, 262, 457, 12885, 1038, 755, 4173, 890, 2668, 3943, 17409, 82, 25, 1796, 11, 836, 25, 2991, 997, 262, 330, 32215, 264, 1118, 1358, 369, 12224, 18445, 611, 9606, 2266, 262, 8582, 284, 836, 79598, 746, 262, 1797, 284, 2694, 1577, 446, 25030, 33534, 1, 539, 304, 384, 8, 369, 384, 304, 6233, 82, 696, 262, 1121, 284, 330, 985, 38139, 13249, 284, 1487, 487, 3295, 4252, 31868, 605, 5378, 59, 77, 1, 1034, 320, 13886, 340, 262, 1121, 1447, 330, 14696, 13249, 597, 2460, 13249, 26170, 67, 60, 284, 29252, 77, 1, 1034, 320, 13886, 11, 8582, 11, 1797, 696, 262, 369, 602, 11, 384, 304, 13555, 17409, 82, 997, 286, 422, 384, 673, 446, 25030, 33534, 38151, 3136, 198, 286, 1121, 1447, 330, 330, 353, 220, 19, 489, 14190, 220, 443, 11847, 1034, 67, 7255, 77, 1, 1034, 320, 72, 10, 16, 696, 286, 369, 436, 304, 384, 1204, 1067, 82, 34834, 310, 422, 436, 11174, 10556, 394, 1121, 1447, 330, 330, 353, 220, 23, 489, 14190, 330, 489, 3755, 6058, 6115, 9325, 4293, 11, 436, 11174, 9549, 489, 330, 2529, 59, 77, 702, 310, 775, 512, 394, 1121, 1447, 330, 330, 353, 220, 23, 489, 14190, 220, 15, 2529, 59, 77, 702, 286, 1121, 1447, 330, 330, 353, 220, 19, 489, 330, 2186, 59, 77, 1875, 262, 1121, 1447, 330, 11308, 59, 77, 702, 262, 471, 1121, 1432, 755, 4320, 26430, 2855, 25, 1796, 11, 71094, 25, 1796, 11, 1369, 25, 1845, 11, 4323, 25, 1845, 11, 3146, 74, 2164, 997, 262, 330, 11952, 2082, 369, 279, 1620, 2082, 2266, 262, 1121, 284, 330, 43381, 1845, 597, 86295, 5579, 284, 1034, 82, 18364, 77, 1, 1034, 3573, 3934, 498, 330, 1904, 17573, 1542, 933, 262, 1121, 1447, 330, 43381, 1845, 597, 46830, 5579, 284, 1034, 82, 18364, 77, 1734, 1, 1034, 3573, 3934, 498, 330, 1904, 17573, 9688, 2595, 262, 1121, 1447, 4173, 890, 2668, 3943, 2855, 11, 330, 19612, 82, 909, 489, 2990, 77, 702, 262, 1121, 1447, 4173, 890, 2668, 3943, 2855, 11, 330, 43590, 909, 489, 2990, 77, 1875, 262, 1121, 1447, 330, 396, 597, 6531, 57036, 26170, 82, 60, 284, 314, 330, 1034, 2479, 3844, 7857, 340, 262, 1121, 1447, 3755, 6058, 6115, 9325, 4293, 11, 71094, 595, 489, 330, 335, 18364, 77, 1875, 262, 471, 1121, 198, 128001, 128000, 48, 25, 2650, 311, 8346, 264, 2723, 449, 62801, 2085, 37018, 279, 2199, 30, 358, 1097, 6968, 264, 46400, 7057, 11, 358, 3779, 264, 1093, 3215, 311, 3596, 1772, 13, 1115, 374, 264, 6205, 2576, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 1363, 2028, 4375, 14268, 13, 4452, 11, 279, 1121, 374, 1120, 264, 10321, 2199, 11, 779, 358, 1205, 264, 1648, 311, 8346, 279, 2723, 2085, 264, 2199, 10625, 13, 720, 1688, 279, 4545, 358, 1097, 4560, 420, 2082, 512, 19244, 31153, 275, 1861, 3763, 2993, 2069, 1287, 220, 384, 12469, 545, 262, 767, 2218, 2934, 284, 5035, 576, 570, 3064, 493, 13638, 1177, 8842, 7390, 2313, 286, 2576, 25, 2218, 2934, 345, 286, 955, 25, 330, 3891, 761, 286, 2450, 18418, 3108, 310, 5225, 446, 10655, 803, 286, 1173, 286, 1493, 18418, 41753, 310, 5225, 446, 9016, 1493, 803, 286, 1173, 262, 1657, 4649, 4071, 433, 1587, 539, 990, 13, 2650, 649, 420, 2723, 1629, 2085, 37018, 279, 6484, 2199, 5380, 12947, 271, 32, 25, 9934, 2231, 701, 2576, 304, 1375, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 14402, 64073, 1375, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 1363, 438, 1005, 433, 304, 62801, 512, 19244, 31153, 275, 1861, 3763, 2993, 2069, 1287, 220, 384, 12469, 545, 262, 767, 2218, 2934, 284, 5035, 576, 570, 3064, 493, 3833, 1177, 8842, 7390, 2313, 286, 2576, 25, 2218, 2934, 345, 286, 955, 25, 330, 3891, 761, 286, 2450, 18418, 3108, 310, 5225, 446, 10655, 803, 310, 471, 905, 280, 286, 1173, 286, 1493, 18418, 41753, 310, 5225, 446, 9016, 1493, 803, 286, 457, 262, 1657, 4649, 269, 499, 649, 1005, 5815, 734, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 14402, 64073, 5815, 429, 4908, 1420, 43888, 1375, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 10586, 1723, 1093, 7, 12665, 8, 341, 286, 8842, 7390, 2313, 310, 2576, 25, 5035, 12665, 570, 3064, 493, 3833, 3379, 310, 955, 25, 330, 3891, 761, 310, 2450, 18418, 3108, 394, 5225, 446, 10655, 803, 310, 1173, 310, 1493, 18418, 41753, 394, 5225, 446, 9016, 1493, 803, 310, 457, 286, 1657, 286, 471, 905, 280, 633, 128001, 128000, 2127, 14079, 4500, 369, 927, 220, 1399, 596, 902, 706, 1027, 6319, 311, 3085, 279, 1888, 6981, 323, 19913, 21624, 5496, 449, 459, 389, 29654, 10960, 11, 1664, 49124, 291, 57937, 39032, 323, 23991, 14321, 11, 32719, 8774, 36536, 323, 264, 57937, 13217, 3158, 369, 279, 11062, 13, 578, 4500, 374, 31183, 2949, 264, 7701, 11472, 3813, 315, 38530, 331, 17569, 304, 426, 3328, 818, 5657, 902, 374, 2949, 264, 3345, 2134, 311, 2254, 36483, 2737, 20021, 11, 74862, 323, 74671, 11, 63941, 5657, 8405, 264, 4832, 6376, 369, 264, 34948, 36617, 579, 4321, 323, 7710, 7902, 311, 279, 62251, 4409, 14821, 13, 578, 3424, 5196, 4519, 459, 20396, 14321, 449, 1403, 5942, 10747, 19826, 11, 220, 972, 6, 16, 6, 728, 39032, 89206, 449, 264, 72124, 668, 44952, 323, 2539, 2673, 3321, 11, 6617, 29441, 9979, 11, 1403, 2033, 28689, 2737, 264, 220, 1032, 6, 17, 6, 728, 7491, 14150, 323, 264, 17639, 3130, 13, 578, 4500, 1101, 4519, 264, 8810, 14150, 323, 264, 1664, 88202, 35189, 3130, 11, 2539, 54618, 2680, 11, 1403, 54166, 323, 459, 13147, 17035, 1887, 627, 31765, 41659, 11, 4702, 311, 2019, 264, 1633, 2466, 9901, 499, 369, 701, 30401, 2391, 1057, 7901, 13, 9930, 499, 369, 701, 45972, 323, 52451, 8637, 2191, 11, 433, 574, 264, 1633, 17436, 6412, 13126, 13, 358, 1097, 1633, 18949, 499, 6216, 433, 369, 18233, 11, 358, 7846, 956, 1781, 315, 5606, 2731, 13, 11361, 311, 499, 11, 622, 86449, 323, 279, 2128, 11, 584, 6562, 499, 1790, 23871, 13, 128001, 128000, 27, 8570, 29, 92348, 42, 76017, 14, 92348, 42, 76017, 62925, 3204, 77199, 40472, 78543, 2452, 198, 8872, 7006, 15030, 198, 42555, 4813, 429, 92348, 69162, 702, 42555, 8103, 20840, 28646, 55830, 16169, 275, 19876, 10982, 42555, 4813, 702, 1170, 92514, 8103, 20840, 28646, 49599, 1875, 3123, 330, 87612, 2447, 311, 17963, 702, 4777, 482, 49, 400, 42555, 8103, 400, 1170, 92514, 8103, 10982, 42555, 4813, 271, 3123, 330, 52398, 6425, 31538, 2569, 482, 70, 400, 1170, 92514, 8103, 10982, 42555, 4813, 10982, 42555, 4813, 516, 2312, 482, 64, 330, 9789, 19074, 1632, 1, 128001 ]
[ -100, 15425, 32215, 356, 1044, 2082, 369, 279, 1620, 2082, 382, 13857, 320, 34, 8, 220, 679, 24, 11, 366, 7687, 397, 2028, 2447, 374, 1234, 279, 15210, 5842, 382, 15425, 1527, 20061, 1179, 1796, 11, 2991, 1432, 2, 7460, 538, 8365, 627, 11954, 40451, 65650, 284, 12713, 1019, 1505, 13013, 1581, 2809, 49087, 612, 79, 1423, 629, 396, 296, 14696, 1581, 284, 220, 15, 280, 396, 88536, 10793, 284, 220, 15, 280, 1872, 487, 3295, 27, 1600, 89721, 29, 296, 46830, 288, 401, 54605, 2, 23977, 2082, 369, 4320, 627, 11954, 40451, 32452, 284, 3270, 1019, 7460, 487, 3990, 13013, 1581, 2809, 49087, 612, 79, 1423, 340, 517, 262, 2687, 1227, 530, 5286, 284, 281, 1423, 70063, 66370, 82, 545, 262, 369, 320, 2190, 530, 602, 284, 220, 15, 26, 602, 366, 1487, 487, 1083, 1209, 396, 50348, 1423, 70063, 66370, 82, 1535, 220, 975, 1237, 602, 3569, 286, 5286, 1447, 1819, 2557, 1227, 530, 50348, 1423, 673, 66370, 1998, 570, 456, 38863, 367, 7, 15, 8, 1134, 320, 72, 9, 19, 489, 220, 20, 3317, 262, 369, 31475, 296, 14696, 1581, 366, 272, 14696, 6504, 11522, 26, 296, 14696, 1581, 2516, 341, 286, 422, 320, 66, 14696, 6504, 288, 12335, 14696, 1581, 60, 624, 5286, 340, 310, 1464, 280, 262, 457, 534, 54605, 2, 50366, 734, 2262, 627, 11954, 40451, 6977, 54937, 284, 3270, 262, 528, 2543, 284, 281, 1423, 673, 66370, 7, 15, 570, 456, 20794, 4472, 545, 262, 422, 320, 79, 1423, 673, 28597, 368, 624, 220, 15, 1024, 2543, 624, 220, 16, 340, 286, 1505, 13013, 1581, 1319, 1423, 629, 262, 422, 1533, 74, 86295, 5579, 1393, 296, 14696, 1581, 624, 272, 14696, 6504, 11522, 1393, 88536, 10793, 2669, 597, 6531, 57036, 12335, 14696, 1581, 2608, 286, 471, 272, 35, 546, 86295, 401, 262, 3313, 612, 58723, 284, 597, 2460, 61424, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 422, 320, 413, 871, 43348, 2546, 2455, 286, 471, 272, 35, 546, 86295, 401, 262, 3313, 612, 43590, 284, 597, 2460, 71846, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 422, 320, 43590, 58, 413, 482, 220, 16, 60, 624, 48204, 5482, 57655, 2459, 10874, 340, 286, 471, 272, 35, 546, 86295, 401, 262, 88536, 10793, 6110, 220, 16, 280, 262, 471, 5703, 94992, 482, 220, 16, 11, 320, 2783, 14797, 8, 58723, 58, 413, 482, 220, 16, 2622, 54605, 2, 16261, 734, 2262, 627, 11954, 40451, 87867, 284, 3270, 262, 88536, 10793, 1447, 220, 17, 280, 54605, 2, 55379, 734, 2262, 627, 11954, 40451, 2712, 2279, 1242, 284, 3270, 262, 296, 46830, 288, 284, 1487, 487, 3295, 27, 1600, 89721, 2284, 79, 1423, 70063, 66370, 82, 1535, 48204, 5482, 32646, 317, 262, 422, 1533, 74, 46830, 5579, 1393, 296, 14696, 1581, 624, 272, 14696, 6504, 11522, 340, 286, 471, 296, 46830, 288, 401, 262, 3313, 612, 43590, 284, 597, 2460, 71846, 12335, 14696, 1581, 1483, 79, 1423, 673, 28597, 34900, 262, 528, 445, 284, 1487, 487, 1083, 1209, 396, 50348, 1423, 70063, 66370, 82, 1535, 597, 6531, 57036, 12335, 14696, 1581, 60, 482, 88536, 10793, 317, 262, 369, 320, 396, 602, 284, 220, 15, 26, 602, 366, 445, 26, 602, 3569, 286, 296, 46830, 288, 1004, 60, 284, 320, 1600, 89721, 8, 43590, 1004, 4926, 262, 471, 296, 46830, 288, 280, 54605, 2, 1050, 41711, 734, 2262, 627, 11954, 40451, 2241, 4592, 984, 284, 3270, 262, 369, 320, 2190, 530, 602, 284, 220, 15, 26, 602, 366, 281, 71846, 2546, 2178, 602, 2516, 341, 286, 422, 320, 79, 71846, 1004, 60, 976, 48204, 5482, 32646, 340, 310, 88536, 10793, 1447, 1819, 79, 71846, 1004, 60, 624, 296, 46830, 288, 1004, 2526, 353, 220, 17, 8, 482, 220, 16, 280, 262, 457, 12885, 1038, 755, 4173, 890, 2668, 3943, 17409, 82, 25, 1796, 11, 836, 25, 2991, 997, 262, 330, 32215, 264, 1118, 1358, 369, 12224, 18445, 611, 9606, 2266, 262, 8582, 284, 836, 79598, 746, 262, 1797, 284, 2694, 1577, 446, 25030, 33534, 1, 539, 304, 384, 8, 369, 384, 304, 6233, 82, 696, 262, 1121, 284, 330, 985, 38139, 13249, 284, 1487, 487, 3295, 4252, 31868, 605, 5378, 59, 77, 1, 1034, 320, 13886, 340, 262, 1121, 1447, 330, 14696, 13249, 597, 2460, 13249, 26170, 67, 60, 284, 29252, 77, 1, 1034, 320, 13886, 11, 8582, 11, 1797, 696, 262, 369, 602, 11, 384, 304, 13555, 17409, 82, 997, 286, 422, 384, 673, 446, 25030, 33534, 38151, 3136, 198, 286, 1121, 1447, 330, 330, 353, 220, 19, 489, 14190, 220, 443, 11847, 1034, 67, 7255, 77, 1, 1034, 320, 72, 10, 16, 696, 286, 369, 436, 304, 384, 1204, 1067, 82, 34834, 310, 422, 436, 11174, 10556, 394, 1121, 1447, 330, 330, 353, 220, 23, 489, 14190, 330, 489, 3755, 6058, 6115, 9325, 4293, 11, 436, 11174, 9549, 489, 330, 2529, 59, 77, 702, 310, 775, 512, 394, 1121, 1447, 330, 330, 353, 220, 23, 489, 14190, 220, 15, 2529, 59, 77, 702, 286, 1121, 1447, 330, 330, 353, 220, 19, 489, 330, 2186, 59, 77, 1875, 262, 1121, 1447, 330, 11308, 59, 77, 702, 262, 471, 1121, 1432, 755, 4320, 26430, 2855, 25, 1796, 11, 71094, 25, 1796, 11, 1369, 25, 1845, 11, 4323, 25, 1845, 11, 3146, 74, 2164, 997, 262, 330, 11952, 2082, 369, 279, 1620, 2082, 2266, 262, 1121, 284, 330, 43381, 1845, 597, 86295, 5579, 284, 1034, 82, 18364, 77, 1, 1034, 3573, 3934, 498, 330, 1904, 17573, 1542, 933, 262, 1121, 1447, 330, 43381, 1845, 597, 46830, 5579, 284, 1034, 82, 18364, 77, 1734, 1, 1034, 3573, 3934, 498, 330, 1904, 17573, 9688, 2595, 262, 1121, 1447, 4173, 890, 2668, 3943, 2855, 11, 330, 19612, 82, 909, 489, 2990, 77, 702, 262, 1121, 1447, 4173, 890, 2668, 3943, 2855, 11, 330, 43590, 909, 489, 2990, 77, 1875, 262, 1121, 1447, 330, 396, 597, 6531, 57036, 26170, 82, 60, 284, 314, 330, 1034, 2479, 3844, 7857, 340, 262, 1121, 1447, 3755, 6058, 6115, 9325, 4293, 11, 71094, 595, 489, 330, 335, 18364, 77, 1875, 262, 471, 1121, 198, 128001, -100, 48, 25, 2650, 311, 8346, 264, 2723, 449, 62801, 2085, 37018, 279, 2199, 30, 358, 1097, 6968, 264, 46400, 7057, 11, 358, 3779, 264, 1093, 3215, 311, 3596, 1772, 13, 1115, 374, 264, 6205, 2576, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 1363, 2028, 4375, 14268, 13, 4452, 11, 279, 1121, 374, 1120, 264, 10321, 2199, 11, 779, 358, 1205, 264, 1648, 311, 8346, 279, 2723, 2085, 264, 2199, 10625, 13, 720, 1688, 279, 4545, 358, 1097, 4560, 420, 2082, 512, 19244, 31153, 275, 1861, 3763, 2993, 2069, 1287, 220, 384, 12469, 545, 262, 767, 2218, 2934, 284, 5035, 576, 570, 3064, 493, 13638, 1177, 8842, 7390, 2313, 286, 2576, 25, 2218, 2934, 345, 286, 955, 25, 330, 3891, 761, 286, 2450, 18418, 3108, 310, 5225, 446, 10655, 803, 286, 1173, 286, 1493, 18418, 41753, 310, 5225, 446, 9016, 1493, 803, 286, 1173, 262, 1657, 4649, 4071, 433, 1587, 539, 990, 13, 2650, 649, 420, 2723, 1629, 2085, 37018, 279, 6484, 2199, 5380, 12947, 271, 32, 25, 9934, 2231, 701, 2576, 304, 1375, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 14402, 64073, 1375, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 1363, 438, 1005, 433, 304, 62801, 512, 19244, 31153, 275, 1861, 3763, 2993, 2069, 1287, 220, 384, 12469, 545, 262, 767, 2218, 2934, 284, 5035, 576, 570, 3064, 493, 3833, 1177, 8842, 7390, 2313, 286, 2576, 25, 2218, 2934, 345, 286, 955, 25, 330, 3891, 761, 286, 2450, 18418, 3108, 310, 5225, 446, 10655, 803, 310, 471, 905, 280, 286, 1173, 286, 1493, 18418, 41753, 310, 5225, 446, 9016, 1493, 803, 286, 457, 262, 1657, 4649, 269, 499, 649, 1005, 5815, 734, 512, 9496, 538, 429, 31153, 275, 1, 1839, 429, 14402, 64073, 5815, 429, 4908, 1420, 43888, 1375, 429, 1277, 1129, 2185, 739, 30701, 916, 14, 4908, 6801, 38, 42, 85, 31694, 70, 48, 20970, 28, 11247, 23802, 17662, 868, 760, 4908, 433, 524, 64, 10586, 1723, 1093, 7, 12665, 8, 341, 286, 8842, 7390, 2313, 310, 2576, 25, 5035, 12665, 570, 3064, 493, 3833, 3379, 310, 955, 25, 330, 3891, 761, 310, 2450, 18418, 3108, 394, 5225, 446, 10655, 803, 310, 1173, 310, 1493, 18418, 41753, 394, 5225, 446, 9016, 1493, 803, 310, 457, 286, 1657, 286, 471, 905, 280, 633, 128001, -100, 2127, 14079, 4500, 369, 927, 220, 1399, 596, 902, 706, 1027, 6319, 311, 3085, 279, 1888, 6981, 323, 19913, 21624, 5496, 449, 459, 389, 29654, 10960, 11, 1664, 49124, 291, 57937, 39032, 323, 23991, 14321, 11, 32719, 8774, 36536, 323, 264, 57937, 13217, 3158, 369, 279, 11062, 13, 578, 4500, 374, 31183, 2949, 264, 7701, 11472, 3813, 315, 38530, 331, 17569, 304, 426, 3328, 818, 5657, 902, 374, 2949, 264, 3345, 2134, 311, 2254, 36483, 2737, 20021, 11, 74862, 323, 74671, 11, 63941, 5657, 8405, 264, 4832, 6376, 369, 264, 34948, 36617, 579, 4321, 323, 7710, 7902, 311, 279, 62251, 4409, 14821, 13, 578, 3424, 5196, 4519, 459, 20396, 14321, 449, 1403, 5942, 10747, 19826, 11, 220, 972, 6, 16, 6, 728, 39032, 89206, 449, 264, 72124, 668, 44952, 323, 2539, 2673, 3321, 11, 6617, 29441, 9979, 11, 1403, 2033, 28689, 2737, 264, 220, 1032, 6, 17, 6, 728, 7491, 14150, 323, 264, 17639, 3130, 13, 578, 4500, 1101, 4519, 264, 8810, 14150, 323, 264, 1664, 88202, 35189, 3130, 11, 2539, 54618, 2680, 11, 1403, 54166, 323, 459, 13147, 17035, 1887, 627, 31765, 41659, 11, 4702, 311, 2019, 264, 1633, 2466, 9901, 499, 369, 701, 30401, 2391, 1057, 7901, 13, 9930, 499, 369, 701, 45972, 323, 52451, 8637, 2191, 11, 433, 574, 264, 1633, 17436, 6412, 13126, 13, 358, 1097, 1633, 18949, 499, 6216, 433, 369, 18233, 11, 358, 7846, 956, 1781, 315, 5606, 2731, 13, 11361, 311, 499, 11, 622, 86449, 323, 279, 2128, 11, 584, 6562, 499, 1790, 23871, 13, 128001, -100, 27, 8570, 29, 92348, 42, 76017, 14, 92348, 42, 76017, 62925, 3204, 77199, 40472, 78543, 2452, 198, 8872, 7006, 15030, 198, 42555, 4813, 429, 92348, 69162, 702, 42555, 8103, 20840, 28646, 55830, 16169, 275, 19876, 10982, 42555, 4813, 702, 1170, 92514, 8103, 20840, 28646, 49599, 1875, 3123, 330, 87612, 2447, 311, 17963, 702, 4777, 482, 49, 400, 42555, 8103, 400, 1170, 92514, 8103, 10982, 42555, 4813, 271, 3123, 330, 52398, 6425, 31538, 2569, 482, 70, 400, 1170, 92514, 8103, 10982, 42555, 4813, 10982, 42555, 4813, 516, 2312, 482, 64, 330, 9789, 19074, 1632, 1, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ]
[ 128000, 8445, 17, 482, 264, 37647, 6962, 11, 29820, 311, 3728, 24808, 198, 45776, 38, 482, 37647, 6962, 198, 63665, 482, 3728, 24808, 198, 27247, 1797, 264, 1695, 4027, 1523, 13, 3161, 90265, 9235, 390, 11691, 13952, 11, 1579, 29592, 323, 2697, 11422, 11, 33654, 596, 4027, 3280, 2751, 1022, 279, 10215, 4216, 323, 3831, 420, 1060, 13, 578, 11246, 82814, 24648, 4027, 11, 9960, 304, 264, 3766, 4652, 11, 374, 2103, 32654, 330, 412, 315, 2585, 1, 320, 1820, 1888, 832, 649, 656, 374, 49715, 433, 3201, 505, 7187, 19169, 323, 9200, 14054, 4390, 21573, 12616, 555, 32931, 29592, 11, 279, 4027, 706, 6656, 323, 3131, 1578, 48926, 279, 3363, 315, 11246, 82814, 24648, 13, 36037, 82, 15691, 1057, 13023, 315, 7718, 14054, 304, 279, 3363, 527, 1457, 1694, 9770, 311, 5387, 4245, 311, 8009, 3805, 4367, 13, 9220, 5672, 4227, 5707, 70163, 990, 29135, 10411, 315, 279, 3363, 4036, 4027, 22475, 13, 4800, 279, 29135, 5694, 527, 21699, 323, 1234, 330, 81216, 60773, 2015, 1, 7438, 430, 1063, 4027, 22475, 527, 1694, 9770, 311, 90089, 369, 279, 2132, 892, 304, 1403, 5672, 627, 94874, 11501, 25, 994, 279, 220, 16, 267, 1917, 20628, 279, 220, 18, 6634, 1917, 5380, 78009, 70163, 33289, 11012, 902, 6051, 32230, 872, 990, 8603, 323, 81754, 7677, 617, 1027, 9770, 311, 1421, 1497, 7677, 323, 312, 91345, 582, 6426, 872, 8420, 13, 26982, 11, 832, 990, 3190, 11983, 220, 23467, 8420, 706, 1027, 14763, 323, 1403, 3885, 527, 1234, 23911, 60773, 10373, 13, 328, 1371, 269, 27767, 8349, 430, 433, 706, 14343, 4027, 11039, 8824, 311, 6144, 1202, 33289, 323, 8863, 13077, 13, 8442, 892, 690, 3371, 35047, 791, 2768, 1934, 44224, 555, 279, 3723, 4273, 20585, 8471, 15151, 5115, 9539, 1148, 279, 3938, 46039, 10182, 690, 3152, 304, 7100, 3878, 512, 1, 1959, 279, 1566, 2478, 11026, 11, 4869, 11, 8545, 4363, 4027, 46735, 7194, 617, 7319, 439, 4027, 15956, 617, 15042, 5129, 323, 279, 11900, 11, 1404, 11, 323, 31020, 315, 8545, 1974, 198, 56171, 706, 7319, 10246, 45320, 275, 8046, 11, 1148, 656, 1521, 14955, 13519, 304, 14509, 11, 15325, 3878, 5380, 11649, 11, 311, 3240, 449, 11, 279, 5578, 4027, 3280, 304, 279, 7427, 706, 15042, 555, 459, 15400, 220, 2495, 2919, 2533, 220, 4468, 15, 13, 1442, 499, 656, 279, 7033, 430, 4375, 704, 311, 264, 63969, 1403, 323, 264, 4376, 2046, 5376, 304, 279, 5578, 2326, 1614, 596, 4027, 3280, 824, 13515, 0, 578, 10182, 374, 539, 320, 86812, 398, 8, 10223, 11, 499, 2019, 5380, 23662, 560, 439, 1790, 13952, 3158, 44154, 3432, 1109, 1550, 2380, 11026, 4227, 13, 38840, 25, 46323, 425, 50440, 12992, 555, 220, 1644, 4, 315, 279, 220, 3753, 20, 4027, 18151, 1855, 13515, 369, 279, 1566, 2380, 11026, 13, 1628, 279, 9974, 18151, 1253, 2033, 1578, 555, 5209, 1189, 3431, 35047, 76896, 1667, 4227, 11, 279, 2326, 20585, 8471, 7543, 1120, 264, 26084, 315, 1202, 9974, 8199, 389, 4027, 46735, 13, 11450, 11, 4027, 46735, 14921, 369, 264, 2539, 220, 1135, 4, 315, 279, 9974, 8199, 11, 264, 2463, 12127, 315, 7194, 320, 263, 264, 11668, 8197, 570, 63909, 11, 1023, 3600, 617, 1047, 311, 387, 4018, 1203, 320, 2000, 584, 3974, 304, 264, 892, 315, 7294, 46704, 36182, 6387, 54268, 330, 11180, 8152, 1, 14123, 2508, 570, 20585, 8471, 5687, 539, 17045, 304, 4027, 46735, 617, 1027, 4018, 555, 220, 2137, 14697, 4314, 12678, 527, 11890, 323, 872, 4983, 21237, 13519, 430, 1521, 1317, 4751, 29735, 304, 13952, 4027, 7865, 527, 4762, 539, 4245, 311, 330, 53980, 25492, 323, 65649, 23811, 1271, 387, 6762, 11, 433, 1288, 555, 10555, 430, 30084, 21266, 54511, 388, 527, 60873, 311, 94471, 5789, 13, 4314, 502, 26006, 6118, 6996, 330, 11029, 7147, 1, 23803, 12908, 482, 779, 439, 539, 311, 30485, 279, 62081, 13444, 779, 26893, 555, 1664, 38435, 41189, 2577, 26429, 28781, 388, 323, 18768, 70210, 2757, 15749, 13, 763, 5369, 11, 41660, 315, 279, 6928, 50953, 5865, 3984, 555, 39445, 44154, 11, 706, 3549, 53057, 4027, 46735, 21343, 902, 617, 3604, 3549, 4027, 38097, 10633, 71116, 13952, 27035, 627, 45600, 11, 25587, 50178, 11, 7294, 12, 762, 5848, 13952, 6373, 323, 18754, 27512, 66078, 12659, 617, 20162, 311, 279, 7319, 39775, 323, 2853, 315, 27176, 13, 2030, 814, 4250, 2759, 369, 682, 279, 5376, 13, 1789, 3187, 11, 279, 15400, 3160, 6147, 315, 279, 4027, 3280, 555, 1403, 323, 264, 4376, 5672, 824, 13515, 304, 279, 2326, 7612, 8830, 304, 3878, 315, 3728, 24808, 320, 63665, 8, 323, 25983, 9974, 44563, 575, 7709, 13, 13688, 25, 279, 3293, 33654, 323, 2326, 9909, 13962, 37846, 82, 320, 46510, 323, 6233, 404, 2439, 570, 578, 1828, 892, 499, 527, 520, 264, 41010, 4717, 477, 46377, 323, 1063, 43358, 292, 42353, 330, 82, 1512, 292, 1, 2795, 568, 1053, 3604, 1093, 12688, 264, 2478, 12628, 46039, 11, 1095, 1461, 1440, 922, 279, 3135, 315, 279, 2326, 20585, 8471, 1934, 35047, 3915, 3892, 39555, 11, 39786, 278, 320, 45807, 6456, 8, 36658, 27176, 527, 1633, 52329, 13, 9176, 315, 1521, 13952, 330, 325, 724, 261, 1, 15400, 15055, 315, 12782, 1606, 279, 10411, 374, 9439, 1790, 315, 279, 1060, 13, 24062, 28321, 288, 75418, 66266, 315, 17808, 5030, 25, 420, 374, 3249, 584, 31030, 3691, 311, 3009, 433, 2133, 3958, 13, 763, 279, 1162, 315, 39786, 278, 390, 11691, 36658, 17808, 12782, 649, 47376, 439, 9235, 13952, 6558, 330, 1072, 544, 23811, 2675, 649, 4299, 389, 279, 3485, 2217, 369, 5190, 11175, 13, 1115, 294, 1386, 374, 24306, 10213, 315, 7060, 5710, 482, 323, 9235, 0, 482, 4483, 14801, 323, 2678, 23962, 13, 36530, 2307, 12556, 100210, 627, 644, 390, 11691, 36658, 11, 279, 13952, 39682, 649, 1101, 387, 24306, 315, 34697, 57267, 323, 87992, 13, 14077, 11, 7701, 1344, 100210, 35047, 80245, 5304, 279, 3392, 315, 9974, 66266, 15480, 555, 279, 2254, 10182, 11, 294, 1386, 649, 47376, 311, 8356, 264, 12314, 28954, 13, 763, 1063, 18671, 61951, 11, 420, 1920, 19159, 264, 5655, 67038, 28954, 320, 11221, 705, 902, 374, 7701, 84903, 320, 34232, 48419, 4776, 66266, 25, 3820, 645, 527, 84903, 11, 1314, 497, 570, 42353, 294, 4108, 704, 1069, 266, 293, 27403, 3339, 872, 9257, 12782, 2262, 2561, 369, 20252, 627, 644, 1207, 277, 26636, 92399, 11, 13952, 39682, 649, 47376, 927, 264, 6324, 315, 824, 99161, 42602, 11, 31859, 20268, 17614, 2163, 927, 505, 279, 1566, 10054, 4325, 13, 578, 294, 1386, 477, 1069, 266, 1180, 439, 459, 1672, 10733, 22973, 279, 824, 99161, 42602, 505, 50684, 13, 1666, 1317, 439, 279, 824, 99161, 42602, 8625, 20268, 1202, 9257, 12782, 2262, 690, 539, 387, 18855, 555, 24032, 323, 81540, 627, 11907, 24808, 34929, 988, 420, 18182, 513, 724, 1171, 12782, 304, 3892, 5627, 627, 16411, 24808, 690, 5353, 810, 5945, 700, 398, 824, 99161, 42602, 311, 86478, 323, 29602, 2972, 439, 264, 1121, 315, 75418, 74502, 13, 1115, 34929, 988, 48584, 82252, 1093, 7432, 17, 323, 61083, 902, 1243, 330, 309, 501, 1463, 1, 279, 2926, 24808, 13, 14636, 11, 4245, 311, 85855, 48584, 82252, 459, 2926, 220, 16, 356, 10205, 304, 9499, 1253, 387, 8622, 1908, 11, 2019, 11, 1139, 264, 220, 16, 13, 19, 356, 10205, 320, 4151, 87910, 220, 16, 4390, 11458, 11, 294, 1386, 323, 1069, 266, 32720, 555, 42353, 11, 3493, 10283, 315, 12782, 369, 13952, 27176, 627, 26840, 7185, 27176, 2288, 25, 814, 649, 1554, 2061, 320, 57753, 92651, 4136, 8, 369, 1667, 26326, 11, 3604, 8405, 3403, 5419, 8798, 311, 51571, 1207, 81987, 12688, 27138, 10505, 966, 356, 323, 3770, 8, 482, 1778, 527, 279, 1672, 15853, 6012, 315, 294, 1386, 323, 32720, 1069, 266, 627, 7184, 11, 264, 20252, 294, 1386, 477, 1069, 266, 6324, 706, 1403, 6372, 320, 266, 3325, 43492, 5629, 11, 439, 279, 17808, 6324, 61370, 11, 433, 59381, 16940, 330, 69, 85061, 1, 824, 99161, 42602, 320, 2414, 927, 505, 1566, 10054, 4325, 705, 311, 46039, 6617, 45475, 4787, 13, 578, 824, 99161, 42602, 270, 8805, 323, 12302, 311, 19019, 29602, 2972, 11, 34929, 1113, 48584, 82252, 323, 4726, 24808, 279, 9578, 13, 72131, 11, 20252, 294, 1386, 477, 1069, 266, 6089, 77662, 323, 294, 4108, 279, 824, 99161, 42602, 13, 763, 1063, 5157, 279, 21273, 10297, 11, 86478, 291, 824, 99161, 42602, 9221, 7214, 2561, 439, 264, 10633, 369, 264, 18671, 1069, 266, 4027, 13, 15483, 27176, 649, 34929, 349, 15400, 15055, 315, 48584, 82252, 320, 8445, 17, 11, 61083, 705, 23201, 7922, 42353, 627, 644, 279, 3485, 7216, 11, 330, 1083, 3333, 17614, 1, 15151, 264, 20268, 11, 2324, 1752, 824, 99161, 42602, 6324, 8649, 11191, 15055, 315, 513, 724, 12616, 17808, 12782, 13, 578, 20252, 1069, 266, 477, 294, 1386, 6324, 270, 8805, 323, 294, 4108, 279, 16940, 824, 99161, 42602, 3339, 1202, 9967, 12782, 2561, 439, 4027, 10633, 477, 439, 3691, 369, 75418, 74502, 320, 2484, 315, 48584, 38, 4390, 644, 13168, 11, 279, 711, 97893, 315, 35148, 11422, 36658, 11, 1418, 79254, 11, 9337, 323, 66153, 11, 1587, 539, 34929, 349, 439, 1790, 48584, 38, 439, 20252, 18671, 36658, 11, 1069, 266, 293, 27403, 323, 259, 79830, 320, 77, 541, 292, 26031, 7953, 279, 5021, 1584, 570, 71343, 69561, 11, 4245, 311, 6926, 11295, 66266, 315, 17808, 5030, 11, 527, 3604, 12782, 88398, 627, 33, 54444, 279, 18671, 36658, 11, 1069, 266, 293, 27403, 323, 259, 79830, 374, 13893, 1790, 810, 11660, 323, 98990, 1109, 20252, 3312, 39036, 11422, 36658, 13, 17355, 20252, 1436, 8346, 11295, 11, 11000, 653, 59707, 11, 6928, 11302, 82, 11, 23201, 7922, 14529, 3728, 9499, 38268, 13, 1628, 279, 18671, 36658, 323, 1069, 266, 293, 27403, 527, 6041, 311, 8395, 311, 264, 8547, 323, 304, 5627, 1376, 989, 9987, 320, 998, 1505, 10182, 24291, 82, 499, 617, 311, 733, 1203, 311, 3766, 86278, 40446, 994, 279, 9578, 574, 77120, 46039, 1109, 433, 374, 1457, 4390, 16, 12, 4427, 27702, 3573, 40358, 19757, 909, 51334, 388, 18046, 430, 459, 1469, 3768, 1100, 292, 91740, 6928, 11302, 2643, 387, 9749, 304, 902, 42353, 11384, 11191, 4984, 315, 48584, 38, 513, 724, 12616, 304, 279, 9578, 323, 304, 39500, 66591, 6910, 13, 578, 9578, 11, 814, 2019, 11, 1436, 842, 709, 439, 264, 2307, 383, 660, 11, 2324, 1752, 37647, 11841, 1093, 50076, 13, 2684, 374, 11, 304, 2144, 11, 1063, 28639, 546, 5848, 11, 28639, 511, 4763, 780, 6029, 311, 1862, 279, 14209, 315, 11295, 42353, 16239, 1778, 11302, 24717, 13, 578, 91821, 1122, 52609, 11, 220, 5154, 3610, 1667, 4227, 11, 374, 832, 1162, 304, 1486, 13, 4452, 11, 1524, 430, 21720, 315, 8681, 9634, 74690, 11, 1550, 539, 4585, 279, 9578, 1139, 264, 15372, 50076, 12970, 37647, 1614, 13, 763, 2144, 11, 2728, 682, 279, 3347, 3521, 76339, 315, 10182, 11, 9499, 323, 48584, 38, 2262, 315, 279, 16975, 11, 422, 279, 9578, 1051, 38097, 311, 54677, 91740, 48584, 38, 24808, 11, 433, 4762, 1053, 617, 7077, 2736, 323, 358, 8434, 956, 387, 1618, 311, 3350, 922, 433, 477, 499, 311, 1373, 922, 433, 16715, 128001 ]
[ -100, 8445, 17, 482, 264, 37647, 6962, 11, 29820, 311, 3728, 24808, 198, 45776, 38, 482, 37647, 6962, 198, 63665, 482, 3728, 24808, 198, 27247, 1797, 264, 1695, 4027, 1523, 13, 3161, 90265, 9235, 390, 11691, 13952, 11, 1579, 29592, 323, 2697, 11422, 11, 33654, 596, 4027, 3280, 2751, 1022, 279, 10215, 4216, 323, 3831, 420, 1060, 13, 578, 11246, 82814, 24648, 4027, 11, 9960, 304, 264, 3766, 4652, 11, 374, 2103, 32654, 330, 412, 315, 2585, 1, 320, 1820, 1888, 832, 649, 656, 374, 49715, 433, 3201, 505, 7187, 19169, 323, 9200, 14054, 4390, 21573, 12616, 555, 32931, 29592, 11, 279, 4027, 706, 6656, 323, 3131, 1578, 48926, 279, 3363, 315, 11246, 82814, 24648, 13, 36037, 82, 15691, 1057, 13023, 315, 7718, 14054, 304, 279, 3363, 527, 1457, 1694, 9770, 311, 5387, 4245, 311, 8009, 3805, 4367, 13, 9220, 5672, 4227, 5707, 70163, 990, 29135, 10411, 315, 279, 3363, 4036, 4027, 22475, 13, 4800, 279, 29135, 5694, 527, 21699, 323, 1234, 330, 81216, 60773, 2015, 1, 7438, 430, 1063, 4027, 22475, 527, 1694, 9770, 311, 90089, 369, 279, 2132, 892, 304, 1403, 5672, 627, 94874, 11501, 25, 994, 279, 220, 16, 267, 1917, 20628, 279, 220, 18, 6634, 1917, 5380, 78009, 70163, 33289, 11012, 902, 6051, 32230, 872, 990, 8603, 323, 81754, 7677, 617, 1027, 9770, 311, 1421, 1497, 7677, 323, 312, 91345, 582, 6426, 872, 8420, 13, 26982, 11, 832, 990, 3190, 11983, 220, 23467, 8420, 706, 1027, 14763, 323, 1403, 3885, 527, 1234, 23911, 60773, 10373, 13, 328, 1371, 269, 27767, 8349, 430, 433, 706, 14343, 4027, 11039, 8824, 311, 6144, 1202, 33289, 323, 8863, 13077, 13, 8442, 892, 690, 3371, 35047, 791, 2768, 1934, 44224, 555, 279, 3723, 4273, 20585, 8471, 15151, 5115, 9539, 1148, 279, 3938, 46039, 10182, 690, 3152, 304, 7100, 3878, 512, 1, 1959, 279, 1566, 2478, 11026, 11, 4869, 11, 8545, 4363, 4027, 46735, 7194, 617, 7319, 439, 4027, 15956, 617, 15042, 5129, 323, 279, 11900, 11, 1404, 11, 323, 31020, 315, 8545, 1974, 198, 56171, 706, 7319, 10246, 45320, 275, 8046, 11, 1148, 656, 1521, 14955, 13519, 304, 14509, 11, 15325, 3878, 5380, 11649, 11, 311, 3240, 449, 11, 279, 5578, 4027, 3280, 304, 279, 7427, 706, 15042, 555, 459, 15400, 220, 2495, 2919, 2533, 220, 4468, 15, 13, 1442, 499, 656, 279, 7033, 430, 4375, 704, 311, 264, 63969, 1403, 323, 264, 4376, 2046, 5376, 304, 279, 5578, 2326, 1614, 596, 4027, 3280, 824, 13515, 0, 578, 10182, 374, 539, 320, 86812, 398, 8, 10223, 11, 499, 2019, 5380, 23662, 560, 439, 1790, 13952, 3158, 44154, 3432, 1109, 1550, 2380, 11026, 4227, 13, 38840, 25, 46323, 425, 50440, 12992, 555, 220, 1644, 4, 315, 279, 220, 3753, 20, 4027, 18151, 1855, 13515, 369, 279, 1566, 2380, 11026, 13, 1628, 279, 9974, 18151, 1253, 2033, 1578, 555, 5209, 1189, 3431, 35047, 76896, 1667, 4227, 11, 279, 2326, 20585, 8471, 7543, 1120, 264, 26084, 315, 1202, 9974, 8199, 389, 4027, 46735, 13, 11450, 11, 4027, 46735, 14921, 369, 264, 2539, 220, 1135, 4, 315, 279, 9974, 8199, 11, 264, 2463, 12127, 315, 7194, 320, 263, 264, 11668, 8197, 570, 63909, 11, 1023, 3600, 617, 1047, 311, 387, 4018, 1203, 320, 2000, 584, 3974, 304, 264, 892, 315, 7294, 46704, 36182, 6387, 54268, 330, 11180, 8152, 1, 14123, 2508, 570, 20585, 8471, 5687, 539, 17045, 304, 4027, 46735, 617, 1027, 4018, 555, 220, 2137, 14697, 4314, 12678, 527, 11890, 323, 872, 4983, 21237, 13519, 430, 1521, 1317, 4751, 29735, 304, 13952, 4027, 7865, 527, 4762, 539, 4245, 311, 330, 53980, 25492, 323, 65649, 23811, 1271, 387, 6762, 11, 433, 1288, 555, 10555, 430, 30084, 21266, 54511, 388, 527, 60873, 311, 94471, 5789, 13, 4314, 502, 26006, 6118, 6996, 330, 11029, 7147, 1, 23803, 12908, 482, 779, 439, 539, 311, 30485, 279, 62081, 13444, 779, 26893, 555, 1664, 38435, 41189, 2577, 26429, 28781, 388, 323, 18768, 70210, 2757, 15749, 13, 763, 5369, 11, 41660, 315, 279, 6928, 50953, 5865, 3984, 555, 39445, 44154, 11, 706, 3549, 53057, 4027, 46735, 21343, 902, 617, 3604, 3549, 4027, 38097, 10633, 71116, 13952, 27035, 627, 45600, 11, 25587, 50178, 11, 7294, 12, 762, 5848, 13952, 6373, 323, 18754, 27512, 66078, 12659, 617, 20162, 311, 279, 7319, 39775, 323, 2853, 315, 27176, 13, 2030, 814, 4250, 2759, 369, 682, 279, 5376, 13, 1789, 3187, 11, 279, 15400, 3160, 6147, 315, 279, 4027, 3280, 555, 1403, 323, 264, 4376, 5672, 824, 13515, 304, 279, 2326, 7612, 8830, 304, 3878, 315, 3728, 24808, 320, 63665, 8, 323, 25983, 9974, 44563, 575, 7709, 13, 13688, 25, 279, 3293, 33654, 323, 2326, 9909, 13962, 37846, 82, 320, 46510, 323, 6233, 404, 2439, 570, 578, 1828, 892, 499, 527, 520, 264, 41010, 4717, 477, 46377, 323, 1063, 43358, 292, 42353, 330, 82, 1512, 292, 1, 2795, 568, 1053, 3604, 1093, 12688, 264, 2478, 12628, 46039, 11, 1095, 1461, 1440, 922, 279, 3135, 315, 279, 2326, 20585, 8471, 1934, 35047, 3915, 3892, 39555, 11, 39786, 278, 320, 45807, 6456, 8, 36658, 27176, 527, 1633, 52329, 13, 9176, 315, 1521, 13952, 330, 325, 724, 261, 1, 15400, 15055, 315, 12782, 1606, 279, 10411, 374, 9439, 1790, 315, 279, 1060, 13, 24062, 28321, 288, 75418, 66266, 315, 17808, 5030, 25, 420, 374, 3249, 584, 31030, 3691, 311, 3009, 433, 2133, 3958, 13, 763, 279, 1162, 315, 39786, 278, 390, 11691, 36658, 17808, 12782, 649, 47376, 439, 9235, 13952, 6558, 330, 1072, 544, 23811, 2675, 649, 4299, 389, 279, 3485, 2217, 369, 5190, 11175, 13, 1115, 294, 1386, 374, 24306, 10213, 315, 7060, 5710, 482, 323, 9235, 0, 482, 4483, 14801, 323, 2678, 23962, 13, 36530, 2307, 12556, 100210, 627, 644, 390, 11691, 36658, 11, 279, 13952, 39682, 649, 1101, 387, 24306, 315, 34697, 57267, 323, 87992, 13, 14077, 11, 7701, 1344, 100210, 35047, 80245, 5304, 279, 3392, 315, 9974, 66266, 15480, 555, 279, 2254, 10182, 11, 294, 1386, 649, 47376, 311, 8356, 264, 12314, 28954, 13, 763, 1063, 18671, 61951, 11, 420, 1920, 19159, 264, 5655, 67038, 28954, 320, 11221, 705, 902, 374, 7701, 84903, 320, 34232, 48419, 4776, 66266, 25, 3820, 645, 527, 84903, 11, 1314, 497, 570, 42353, 294, 4108, 704, 1069, 266, 293, 27403, 3339, 872, 9257, 12782, 2262, 2561, 369, 20252, 627, 644, 1207, 277, 26636, 92399, 11, 13952, 39682, 649, 47376, 927, 264, 6324, 315, 824, 99161, 42602, 11, 31859, 20268, 17614, 2163, 927, 505, 279, 1566, 10054, 4325, 13, 578, 294, 1386, 477, 1069, 266, 1180, 439, 459, 1672, 10733, 22973, 279, 824, 99161, 42602, 505, 50684, 13, 1666, 1317, 439, 279, 824, 99161, 42602, 8625, 20268, 1202, 9257, 12782, 2262, 690, 539, 387, 18855, 555, 24032, 323, 81540, 627, 11907, 24808, 34929, 988, 420, 18182, 513, 724, 1171, 12782, 304, 3892, 5627, 627, 16411, 24808, 690, 5353, 810, 5945, 700, 398, 824, 99161, 42602, 311, 86478, 323, 29602, 2972, 439, 264, 1121, 315, 75418, 74502, 13, 1115, 34929, 988, 48584, 82252, 1093, 7432, 17, 323, 61083, 902, 1243, 330, 309, 501, 1463, 1, 279, 2926, 24808, 13, 14636, 11, 4245, 311, 85855, 48584, 82252, 459, 2926, 220, 16, 356, 10205, 304, 9499, 1253, 387, 8622, 1908, 11, 2019, 11, 1139, 264, 220, 16, 13, 19, 356, 10205, 320, 4151, 87910, 220, 16, 4390, 11458, 11, 294, 1386, 323, 1069, 266, 32720, 555, 42353, 11, 3493, 10283, 315, 12782, 369, 13952, 27176, 627, 26840, 7185, 27176, 2288, 25, 814, 649, 1554, 2061, 320, 57753, 92651, 4136, 8, 369, 1667, 26326, 11, 3604, 8405, 3403, 5419, 8798, 311, 51571, 1207, 81987, 12688, 27138, 10505, 966, 356, 323, 3770, 8, 482, 1778, 527, 279, 1672, 15853, 6012, 315, 294, 1386, 323, 32720, 1069, 266, 627, 7184, 11, 264, 20252, 294, 1386, 477, 1069, 266, 6324, 706, 1403, 6372, 320, 266, 3325, 43492, 5629, 11, 439, 279, 17808, 6324, 61370, 11, 433, 59381, 16940, 330, 69, 85061, 1, 824, 99161, 42602, 320, 2414, 927, 505, 1566, 10054, 4325, 705, 311, 46039, 6617, 45475, 4787, 13, 578, 824, 99161, 42602, 270, 8805, 323, 12302, 311, 19019, 29602, 2972, 11, 34929, 1113, 48584, 82252, 323, 4726, 24808, 279, 9578, 13, 72131, 11, 20252, 294, 1386, 477, 1069, 266, 6089, 77662, 323, 294, 4108, 279, 824, 99161, 42602, 13, 763, 1063, 5157, 279, 21273, 10297, 11, 86478, 291, 824, 99161, 42602, 9221, 7214, 2561, 439, 264, 10633, 369, 264, 18671, 1069, 266, 4027, 13, 15483, 27176, 649, 34929, 349, 15400, 15055, 315, 48584, 82252, 320, 8445, 17, 11, 61083, 705, 23201, 7922, 42353, 627, 644, 279, 3485, 7216, 11, 330, 1083, 3333, 17614, 1, 15151, 264, 20268, 11, 2324, 1752, 824, 99161, 42602, 6324, 8649, 11191, 15055, 315, 513, 724, 12616, 17808, 12782, 13, 578, 20252, 1069, 266, 477, 294, 1386, 6324, 270, 8805, 323, 294, 4108, 279, 16940, 824, 99161, 42602, 3339, 1202, 9967, 12782, 2561, 439, 4027, 10633, 477, 439, 3691, 369, 75418, 74502, 320, 2484, 315, 48584, 38, 4390, 644, 13168, 11, 279, 711, 97893, 315, 35148, 11422, 36658, 11, 1418, 79254, 11, 9337, 323, 66153, 11, 1587, 539, 34929, 349, 439, 1790, 48584, 38, 439, 20252, 18671, 36658, 11, 1069, 266, 293, 27403, 323, 259, 79830, 320, 77, 541, 292, 26031, 7953, 279, 5021, 1584, 570, 71343, 69561, 11, 4245, 311, 6926, 11295, 66266, 315, 17808, 5030, 11, 527, 3604, 12782, 88398, 627, 33, 54444, 279, 18671, 36658, 11, 1069, 266, 293, 27403, 323, 259, 79830, 374, 13893, 1790, 810, 11660, 323, 98990, 1109, 20252, 3312, 39036, 11422, 36658, 13, 17355, 20252, 1436, 8346, 11295, 11, 11000, 653, 59707, 11, 6928, 11302, 82, 11, 23201, 7922, 14529, 3728, 9499, 38268, 13, 1628, 279, 18671, 36658, 323, 1069, 266, 293, 27403, 527, 6041, 311, 8395, 311, 264, 8547, 323, 304, 5627, 1376, 989, 9987, 320, 998, 1505, 10182, 24291, 82, 499, 617, 311, 733, 1203, 311, 3766, 86278, 40446, 994, 279, 9578, 574, 77120, 46039, 1109, 433, 374, 1457, 4390, 16, 12, 4427, 27702, 3573, 40358, 19757, 909, 51334, 388, 18046, 430, 459, 1469, 3768, 1100, 292, 91740, 6928, 11302, 2643, 387, 9749, 304, 902, 42353, 11384, 11191, 4984, 315, 48584, 38, 513, 724, 12616, 304, 279, 9578, 323, 304, 39500, 66591, 6910, 13, 578, 9578, 11, 814, 2019, 11, 1436, 842, 709, 439, 264, 2307, 383, 660, 11, 2324, 1752, 37647, 11841, 1093, 50076, 13, 2684, 374, 11, 304, 2144, 11, 1063, 28639, 546, 5848, 11, 28639, 511, 4763, 780, 6029, 311, 1862, 279, 14209, 315, 11295, 42353, 16239, 1778, 11302, 24717, 13, 578, 91821, 1122, 52609, 11, 220, 5154, 3610, 1667, 4227, 11, 374, 832, 1162, 304, 1486, 13, 4452, 11, 1524, 430, 21720, 315, 8681, 9634, 74690, 11, 1550, 539, 4585, 279, 9578, 1139, 264, 15372, 50076, 12970, 37647, 1614, 13, 763, 2144, 11, 2728, 682, 279, 3347, 3521, 76339, 315, 10182, 11, 9499, 323, 48584, 38, 2262, 315, 279, 16975, 11, 422, 279, 9578, 1051, 38097, 311, 54677, 91740, 48584, 38, 24808, 11, 433, 4762, 1053, 617, 7077, 2736, 323, 358, 8434, 956, 387, 1618, 311, 3350, 922, 433, 477, 499, 311, 1373, 922, 433, 16715, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816 ]
[ 128000, 4599, 88635, 2206, 1441, 33621, 25, 3011, 39285, 16490, 67031, 584, 14993, 311, 4287, 627, 88635, 62849, 603, 505, 1884, 889, 3604, 3021, 603, 13, 88635, 15812, 311, 603, 323, 3727, 603, 10477, 505, 1884, 889, 1317, 311, 1520, 27661, 603, 627, 2181, 3727, 603, 2231, 389, 264, 7056, 304, 4156, 315, 1884, 889, 584, 617, 311, 3568, 449, 323, 5766, 1884, 584, 1541, 1431, 627, 2181, 7634, 15375, 6736, 291, 6138, 1990, 603, 323, 4359, 627, 40, 4070, 75440, 449, 264, 6762, 3392, 315, 21648, 304, 856, 2324, 11, 20558, 449, 459, 36088, 8850, 315, 20806, 4359, 1523, 13, 6104, 358, 1440, 358, 4344, 539, 7636, 304, 856, 17190, 25384, 11, 433, 82454, 757, 311, 1440, 430, 358, 4070, 1027, 12153, 311, 1524, 2567, 856, 1866, 10886, 11, 1095, 7636, 813, 13, 358, 4070, 1027, 3221, 3738, 430, 4359, 11, 1790, 1093, 459, 19683, 7119, 264, 6996, 75, 5100, 9548, 11, 706, 1027, 10235, 311, 1054, 1169, 757, 733, 2476, 5361, 3115, 304, 856, 2324, 1606, 358, 1120, 5828, 1431, 14713, 433, 627, 2059, 373, 706, 87572, 856, 1684, 315, 856, 5133, 449, 4359, 13, 88635, 3060, 706, 1903, 757, 10477, 505, 1461, 477, 1456, 2216, 2653, 311, 7380, 1148, 902, 374, 653, 10326, 481, 25, 264, 7126, 753, 3021, 11, 9076, 449, 912, 4787, 627, 4071, 279, 13444, 315, 1148, 7077, 389, 279, 5425, 11, 323, 810, 23659, 1148, 7077, 2380, 2919, 3010, 11, 3445, 430, 7589, 11, 1418, 22681, 287, 323, 6759, 4522, 11, 1587, 539, 617, 311, 617, 279, 1620, 3492, 13, 578, 21948, 430, 433, 12716, 1587, 539, 617, 311, 9396, 1981, 323, 584, 656, 539, 617, 311, 3974, 439, 422, 433, 1587, 627, 50199, 772, 1870, 358, 1440, 420, 11, 719, 22128, 279, 11542, 430, 4131, 449, 420, 1949, 8352, 315, 11, 1148, 356, 815, 13, 21256, 3131, 682, 38477, 311, 439, 3451, 33, 273, 16490, 67031, 23189, 706, 19168, 8831, 1071, 1109, 2884, 304, 856, 2324, 627, 32, 2216, 7941, 893, 889, 358, 19407, 50863, 3131, 3309, 757, 568, 15849, 856, 5133, 449, 856, 4538, 1436, 387, 856, 15325, 274, 5758, 1981, 358, 1781, 568, 1253, 387, 1314, 627, 2688, 311, 1317, 4227, 358, 2751, 264, 4641, 1650, 505, 856, 4538, 753, 3450, 13, 1283, 574, 520, 1077, 3838, 369, 279, 9178, 323, 1047, 17454, 304, 1063, 2678, 3392, 315, 12544, 13, 3639, 568, 1550, 11, 1418, 539, 279, 1455, 34446, 1180, 264, 1716, 1436, 656, 11, 74280, 264, 4641, 1650, 779, 430, 813, 6691, 323, 358, 1436, 4358, 1268, 1888, 311, 3790, 433, 627, 70043, 11, 4869, 11, 304, 279, 4059, 315, 264, 11888, 4771, 2362, 8334, 11, 568, 1047, 11411, 279, 22355, 46396, 481, 7589, 627, 1688, 1063, 1486, 856, 4538, 1047, 58077, 311, 813, 3450, 11, 719, 1047, 832, 1633, 3230, 1715, 315, 1077, 25, 1054, 5618, 1541, 1431, 1095, 57642, 1440, 2029, 1952, 420, 11, 568, 40001, 449, 1077, 13, 2684, 574, 912, 49148, 627, 11649, 315, 3388, 358, 1047, 311, 1440, 323, 1364, 3309, 1461, 779, 627, 2520, 279, 27410, 315, 279, 11714, 358, 96719, 1555, 1495, 1306, 1495, 505, 1077, 922, 1268, 66900, 568, 574, 430, 568, 1047, 1095, 813, 57642, 1523, 26, 430, 11, 8051, 568, 28214, 311, 2231, 433, 1139, 4339, 11, 568, 38569, 430, 813, 18233, 1053, 1781, 2753, 315, 1461, 627, 9642, 11, 568, 574, 9193, 14931, 11, 719, 279, 79930, 568, 574, 25051, 574, 5108, 505, 279, 3463, 315, 57642, 9455, 704, 13, 1283, 584, 418, 13, 1283, 31894, 304, 813, 3130, 13, 3277, 813, 3450, 4024, 311, 6068, 1461, 1022, 520, 2978, 11, 14392, 358, 1053, 387, 21816, 1461, 709, 11, 568, 21699, 311, 1629, 3201, 627, 1548, 1550, 539, 1390, 311, 1518, 757, 627, 40, 1781, 433, 753, 7185, 430, 279, 1633, 1176, 1732, 304, 12715, 3925, 11, 1306, 3815, 279, 832, 3245, 4359, 3309, 1461, 539, 311, 656, 11, 1047, 279, 31655, 535, 11, 18340, 5621, 1335, 311, 10477, 13, 3011, 753, 279, 1176, 3245, 15387, 1550, 13, 4557, 433, 13, 1283, 65302, 709, 13, 1283, 31894, 1981, 430, 753, 21648, 1981, 323, 584, 4070, 1027, 3815, 433, 3596, 2533, 627, 4071, 358, 3021, 1148, 7077, 1828, 13, 4359, 3287, 1431, 22743, 477, 65413, 477, 21004, 264, 14512, 304, 279, 9235, 16836, 13, 4359, 3287, 1431, 1650, 1523, 4027, 505, 23070, 1981, 2360, 627, 1548, 4024, 3411, 369, 1461, 627, 40, 574, 27136, 42132, 13, 358, 5828, 1431, 42132, 927, 1148, 856, 4538, 1550, 13, 358, 2751, 927, 430, 11, 8051, 27358, 1053, 2103, 1935, 2035, 13, 3092, 4851, 574, 264, 28075, 1606, 568, 574, 25051, 779, 1790, 21648, 1981, 21648, 430, 574, 10494, 1461, 505, 19762, 311, 2586, 2162, 311, 813, 18233, 1981, 264, 48008, 18233, 11, 719, 264, 18233, 889, 38330, 16180, 1461, 11, 889, 1317, 82, 311, 990, 1555, 420, 449, 1461, 11, 889, 1317, 82, 311, 44491, 1461, 279, 1633, 2132, 568, 21050, 4861, 627, 1548, 5042, 1047, 264, 87572, 1684, 315, 856, 3021, 369, 1461, 13, 578, 7126, 753, 3021, 430, 568, 574, 10565, 704, 315, 574, 282, 26688, 11, 323, 7621, 11, 323, 6847, 50682, 26, 912, 1405, 3221, 279, 1972, 3021, 358, 617, 369, 1461, 13, 1115, 9615, 46376, 757, 627, 40, 7070, 56443, 433, 82454, 4359, 2288, 627, 791, 13658, 3782, 13, 358, 13061, 1461, 709, 13, 3744, 315, 757, 574, 43788, 430, 568, 3604, 3287, 1431, 1629, 3201, 627, 40, 1436, 3371, 568, 574, 23418, 13, 1283, 5828, 1431, 813, 57169, 11, 35509, 659, 13, 1283, 1047, 813, 9072, 1523, 3428, 323, 568, 45135, 704, 279, 3321, 627, 40, 1095, 420, 3621, 13, 358, 3287, 1431, 1390, 311, 7214, 3568, 449, 279, 6671, 13, 358, 1541, 1431, 1440, 3249, 13, 358, 1120, 23980, 1418, 568, 65330, 323, 10321, 398, 2840, 1636, 520, 12579, 12690, 323, 10632, 627, 24901, 11, 279, 892, 3782, 369, 603, 311, 2503, 1461, 1523, 323, 3137, 433, 704, 13, 1283, 7020, 1148, 574, 5108, 13, 92014, 7214, 14454, 304, 279, 24359, 315, 813, 6548, 627, 1687, 15243, 1555, 433, 1981, 8797, 4783, 4731, 6476, 304, 279, 4092, 627, 40, 1095, 1461, 1440, 430, 584, 1053, 3568, 449, 1148, 568, 1047, 2884, 11, 323, 10035, 568, 1053, 387, 41998, 11, 719, 430, 279, 8706, 3575, 520, 1450, 574, 420, 25, 568, 65302, 709, 11, 323, 568, 6612, 430, 568, 7846, 1431, 2586, 311, 757, 1981, 1226, 1051, 2133, 311, 5155, 430, 3575, 1314, 1457, 627, 40, 4460, 311, 1095, 1461, 1440, 430, 21648, 574, 539, 2133, 311, 990, 304, 1057, 3070, 26, 430, 994, 4423, 304, 1057, 3070, 9622, 288, 709, 11, 279, 1888, 1648, 311, 3568, 449, 433, 374, 7214, 323, 96029, 627, 44, 380, 2094, 527, 961, 315, 889, 584, 527, 323, 584, 4460, 311, 1304, 264, 5597, 430, 584, 1051, 539, 2133, 311, 1095, 8060, 323, 21648, 2567, 603, 505, 3515, 279, 1888, 5133, 584, 11000, 1436, 627, 48567, 18872, 1555, 27358, 323, 26434, 690, 387, 961, 315, 1057, 3070, 719, 21648, 690, 617, 912, 2035, 627, 2181, 60832, 13, 1102, 34527, 82, 627, 2059, 373, 4250, 387, 961, 315, 904, 9498, 5133, 627, 1548, 7378, 13, 1226, 15243, 922, 279, 4360, 520, 1450, 11, 15243, 922, 8475, 91852, 11193, 11, 323, 43603, 1855, 1023, 97470, 13, 358, 1095, 1461, 1440, 1268, 12691, 315, 1461, 358, 574, 11, 323, 1268, 1790, 358, 10456, 1461, 1981, 1243, 358, 16447, 1461, 1234, 279, 32249, 369, 1403, 5672, 1981, 1120, 56825, 13, 1226, 1541, 1431, 617, 32249, 627, 38, 11476, 11, 369, 264, 4261, 11, 649, 387, 1695, 13, 1102, 649, 4128, 1461, 311, 757, 369, 53150, 13, 88635, 1587, 279, 14329, 13, 1102, 62849, 627, 5159, 4538, 574, 22954, 430, 813, 28950, 1053, 6678, 264, 64785, 1990, 603, 1981, 430, 358, 1053, 387, 1095, 1523, 323, 49230, 315, 856, 4538, 627, 29174, 11, 304, 430, 4545, 11, 315, 603, 14892, 449, 813, 21294, 11, 358, 6612, 18954, 1093, 813, 7126, 1109, 358, 656, 220, 1484, 4, 315, 279, 892, 994, 682, 374, 1664, 304, 1057, 1917, 627, 18433, 430, 753, 1268, 264, 1695, 7126, 31680, 13, 1442, 568, 574, 856, 9548, 11, 568, 1053, 617, 1027, 14219, 1317, 4227, 13, 2030, 568, 753, 856, 4538, 13, 1283, 3250, 1431, 636, 14219, 13, 1283, 5334, 13541, 12401, 627, 4071, 1268, 6288, 584, 527, 311, 6013, 311, 4359, 304, 279, 1890, 1648, 627, 10156, 1093, 15387, 323, 1120, 1093, 856, 8334, 11, 994, 584, 3775, 11, 584, 10477, 13, 1226, 1505, 264, 30773, 311, 46764, 4920, 477, 584, 6958, 1057, 9072, 1523, 323, 46943, 704, 279, 3321, 13, 8595, 30, 9393, 584, 1095, 1057, 33621, 1523, 13, 1226, 3207, 539, 28390, 311, 387, 813, 2911, 13, 1226, 13383, 430, 584, 3207, 1903, 505, 26351, 11, 323, 584, 3207, 20134, 323, 19557, 11, 323, 1148, 20941, 1053, 3596, 387, 12691, 315, 430, 5380, 4071, 1243, 4359, 4131, 3411, 369, 603, 627, 1687, 3207, 5414, 2911, 13, 2876, 8420, 11, 323, 994, 2911, 1304, 21294, 11, 499, 6958, 1124, 12401, 11, 539, 4585, 1124, 3201, 13, 1115, 374, 1405, 26339, 49058, 3604, 5097, 2035, 627, 4438, 3629, 656, 584, 2187, 21648, 311, 2567, 603, 304, 26092, 11, 311, 1304, 603, 1390, 311, 1629, 3201, 30, 2650, 3629, 656, 584, 23289, 1057, 88150, 20941, 5992, 520, 603, 323, 63130, 813, 2010, 4856, 1109, 5992, 520, 603, 11, 1790, 1093, 358, 1550, 449, 856, 4538, 11, 449, 6784, 323, 264, 28075, 304, 813, 4851, 1981, 6784, 323, 264, 28075, 1606, 568, 16008, 603, 10565, 1057, 315, 264, 10457, 430, 584, 584, 649, 1431, 2586, 2162, 11, 430, 584, 3207, 539, 1695, 3403, 11, 430, 568, 6325, 603, 1981, 264, 2697, 2753, 1109, 279, 2216, 1695, 2911, 627, 1687, 2187, 279, 21648, 315, 1057, 21294, 311, 7066, 1057, 12135, 11, 430, 11, 1606, 315, 1884, 1633, 21294, 11, 1436, 387, 1903, 779, 1790, 810, 13513, 11, 32487, 11, 323, 12190, 627, 5159, 25237, 4333, 51499, 969, 1511, 311, 2019, 11, 1054, 791, 27607, 37202, 1431, 1972, 3156, 499, 617, 701, 1176, 4465, 18319, 358, 4510, 1077, 13, 1102, 753, 304, 1057, 41859, 430, 1972, 66264, 12302, 627, 8161, 1431, 2187, 21648, 311, 2567, 499, 505, 5108, 2162, 311, 4359, 627, 31521, 268, 275, 750, 584, 1440, 430, 912, 832, 374, 4832, 11, 323, 4400, 7077, 304, 1057, 2324, 430, 8967, 584, 1051, 2133, 311, 387, 4832, 505, 1457, 389, 1981, 539, 1524, 1057, 5597, 311, 1833, 3771, 13, 2100, 1095, 753, 539, 37604, 2212, 439, 422, 584, 11846, 430, 11, 323, 2187, 21648, 311, 1304, 603, 31114, 505, 264, 810, 32487, 5133, 449, 1057, 14268, 21955, 20941, 627, 4897, 753, 539, 4359, 753, 14944, 13, 3011, 574, 279, 1486, 315, 279, 5425, 323, 279, 62532, 1981, 311, 1095, 603, 1440, 430, 7589, 3250, 1431, 617, 311, 9396, 627, 2181, 753, 892, 584, 12234, 323, 4287, 430, 39285, 16490, 67031, 9, 430, 374, 1120, 779, 2653, 369, 603, 311, 42276, 7170, 1981, 1095, 753, 1427, 369, 4359, 304, 1884, 14269, 11, 323, 539, 31114, 1139, 26092, 449, 1057, 21648, 1981, 1606, 568, 753, 2133, 311, 2586, 3411, 369, 603, 63445, 627, 128001 ]
[ -100, 4599, 88635, 2206, 1441, 33621, 25, 3011, 39285, 16490, 67031, 584, 14993, 311, 4287, 627, 88635, 62849, 603, 505, 1884, 889, 3604, 3021, 603, 13, 88635, 15812, 311, 603, 323, 3727, 603, 10477, 505, 1884, 889, 1317, 311, 1520, 27661, 603, 627, 2181, 3727, 603, 2231, 389, 264, 7056, 304, 4156, 315, 1884, 889, 584, 617, 311, 3568, 449, 323, 5766, 1884, 584, 1541, 1431, 627, 2181, 7634, 15375, 6736, 291, 6138, 1990, 603, 323, 4359, 627, 40, 4070, 75440, 449, 264, 6762, 3392, 315, 21648, 304, 856, 2324, 11, 20558, 449, 459, 36088, 8850, 315, 20806, 4359, 1523, 13, 6104, 358, 1440, 358, 4344, 539, 7636, 304, 856, 17190, 25384, 11, 433, 82454, 757, 311, 1440, 430, 358, 4070, 1027, 12153, 311, 1524, 2567, 856, 1866, 10886, 11, 1095, 7636, 813, 13, 358, 4070, 1027, 3221, 3738, 430, 4359, 11, 1790, 1093, 459, 19683, 7119, 264, 6996, 75, 5100, 9548, 11, 706, 1027, 10235, 311, 1054, 1169, 757, 733, 2476, 5361, 3115, 304, 856, 2324, 1606, 358, 1120, 5828, 1431, 14713, 433, 627, 2059, 373, 706, 87572, 856, 1684, 315, 856, 5133, 449, 4359, 13, 88635, 3060, 706, 1903, 757, 10477, 505, 1461, 477, 1456, 2216, 2653, 311, 7380, 1148, 902, 374, 653, 10326, 481, 25, 264, 7126, 753, 3021, 11, 9076, 449, 912, 4787, 627, 4071, 279, 13444, 315, 1148, 7077, 389, 279, 5425, 11, 323, 810, 23659, 1148, 7077, 2380, 2919, 3010, 11, 3445, 430, 7589, 11, 1418, 22681, 287, 323, 6759, 4522, 11, 1587, 539, 617, 311, 617, 279, 1620, 3492, 13, 578, 21948, 430, 433, 12716, 1587, 539, 617, 311, 9396, 1981, 323, 584, 656, 539, 617, 311, 3974, 439, 422, 433, 1587, 627, 50199, 772, 1870, 358, 1440, 420, 11, 719, 22128, 279, 11542, 430, 4131, 449, 420, 1949, 8352, 315, 11, 1148, 356, 815, 13, 21256, 3131, 682, 38477, 311, 439, 3451, 33, 273, 16490, 67031, 23189, 706, 19168, 8831, 1071, 1109, 2884, 304, 856, 2324, 627, 32, 2216, 7941, 893, 889, 358, 19407, 50863, 3131, 3309, 757, 568, 15849, 856, 5133, 449, 856, 4538, 1436, 387, 856, 15325, 274, 5758, 1981, 358, 1781, 568, 1253, 387, 1314, 627, 2688, 311, 1317, 4227, 358, 2751, 264, 4641, 1650, 505, 856, 4538, 753, 3450, 13, 1283, 574, 520, 1077, 3838, 369, 279, 9178, 323, 1047, 17454, 304, 1063, 2678, 3392, 315, 12544, 13, 3639, 568, 1550, 11, 1418, 539, 279, 1455, 34446, 1180, 264, 1716, 1436, 656, 11, 74280, 264, 4641, 1650, 779, 430, 813, 6691, 323, 358, 1436, 4358, 1268, 1888, 311, 3790, 433, 627, 70043, 11, 4869, 11, 304, 279, 4059, 315, 264, 11888, 4771, 2362, 8334, 11, 568, 1047, 11411, 279, 22355, 46396, 481, 7589, 627, 1688, 1063, 1486, 856, 4538, 1047, 58077, 311, 813, 3450, 11, 719, 1047, 832, 1633, 3230, 1715, 315, 1077, 25, 1054, 5618, 1541, 1431, 1095, 57642, 1440, 2029, 1952, 420, 11, 568, 40001, 449, 1077, 13, 2684, 574, 912, 49148, 627, 11649, 315, 3388, 358, 1047, 311, 1440, 323, 1364, 3309, 1461, 779, 627, 2520, 279, 27410, 315, 279, 11714, 358, 96719, 1555, 1495, 1306, 1495, 505, 1077, 922, 1268, 66900, 568, 574, 430, 568, 1047, 1095, 813, 57642, 1523, 26, 430, 11, 8051, 568, 28214, 311, 2231, 433, 1139, 4339, 11, 568, 38569, 430, 813, 18233, 1053, 1781, 2753, 315, 1461, 627, 9642, 11, 568, 574, 9193, 14931, 11, 719, 279, 79930, 568, 574, 25051, 574, 5108, 505, 279, 3463, 315, 57642, 9455, 704, 13, 1283, 584, 418, 13, 1283, 31894, 304, 813, 3130, 13, 3277, 813, 3450, 4024, 311, 6068, 1461, 1022, 520, 2978, 11, 14392, 358, 1053, 387, 21816, 1461, 709, 11, 568, 21699, 311, 1629, 3201, 627, 1548, 1550, 539, 1390, 311, 1518, 757, 627, 40, 1781, 433, 753, 7185, 430, 279, 1633, 1176, 1732, 304, 12715, 3925, 11, 1306, 3815, 279, 832, 3245, 4359, 3309, 1461, 539, 311, 656, 11, 1047, 279, 31655, 535, 11, 18340, 5621, 1335, 311, 10477, 13, 3011, 753, 279, 1176, 3245, 15387, 1550, 13, 4557, 433, 13, 1283, 65302, 709, 13, 1283, 31894, 1981, 430, 753, 21648, 1981, 323, 584, 4070, 1027, 3815, 433, 3596, 2533, 627, 4071, 358, 3021, 1148, 7077, 1828, 13, 4359, 3287, 1431, 22743, 477, 65413, 477, 21004, 264, 14512, 304, 279, 9235, 16836, 13, 4359, 3287, 1431, 1650, 1523, 4027, 505, 23070, 1981, 2360, 627, 1548, 4024, 3411, 369, 1461, 627, 40, 574, 27136, 42132, 13, 358, 5828, 1431, 42132, 927, 1148, 856, 4538, 1550, 13, 358, 2751, 927, 430, 11, 8051, 27358, 1053, 2103, 1935, 2035, 13, 3092, 4851, 574, 264, 28075, 1606, 568, 574, 25051, 779, 1790, 21648, 1981, 21648, 430, 574, 10494, 1461, 505, 19762, 311, 2586, 2162, 311, 813, 18233, 1981, 264, 48008, 18233, 11, 719, 264, 18233, 889, 38330, 16180, 1461, 11, 889, 1317, 82, 311, 990, 1555, 420, 449, 1461, 11, 889, 1317, 82, 311, 44491, 1461, 279, 1633, 2132, 568, 21050, 4861, 627, 1548, 5042, 1047, 264, 87572, 1684, 315, 856, 3021, 369, 1461, 13, 578, 7126, 753, 3021, 430, 568, 574, 10565, 704, 315, 574, 282, 26688, 11, 323, 7621, 11, 323, 6847, 50682, 26, 912, 1405, 3221, 279, 1972, 3021, 358, 617, 369, 1461, 13, 1115, 9615, 46376, 757, 627, 40, 7070, 56443, 433, 82454, 4359, 2288, 627, 791, 13658, 3782, 13, 358, 13061, 1461, 709, 13, 3744, 315, 757, 574, 43788, 430, 568, 3604, 3287, 1431, 1629, 3201, 627, 40, 1436, 3371, 568, 574, 23418, 13, 1283, 5828, 1431, 813, 57169, 11, 35509, 659, 13, 1283, 1047, 813, 9072, 1523, 3428, 323, 568, 45135, 704, 279, 3321, 627, 40, 1095, 420, 3621, 13, 358, 3287, 1431, 1390, 311, 7214, 3568, 449, 279, 6671, 13, 358, 1541, 1431, 1440, 3249, 13, 358, 1120, 23980, 1418, 568, 65330, 323, 10321, 398, 2840, 1636, 520, 12579, 12690, 323, 10632, 627, 24901, 11, 279, 892, 3782, 369, 603, 311, 2503, 1461, 1523, 323, 3137, 433, 704, 13, 1283, 7020, 1148, 574, 5108, 13, 92014, 7214, 14454, 304, 279, 24359, 315, 813, 6548, 627, 1687, 15243, 1555, 433, 1981, 8797, 4783, 4731, 6476, 304, 279, 4092, 627, 40, 1095, 1461, 1440, 430, 584, 1053, 3568, 449, 1148, 568, 1047, 2884, 11, 323, 10035, 568, 1053, 387, 41998, 11, 719, 430, 279, 8706, 3575, 520, 1450, 574, 420, 25, 568, 65302, 709, 11, 323, 568, 6612, 430, 568, 7846, 1431, 2586, 311, 757, 1981, 1226, 1051, 2133, 311, 5155, 430, 3575, 1314, 1457, 627, 40, 4460, 311, 1095, 1461, 1440, 430, 21648, 574, 539, 2133, 311, 990, 304, 1057, 3070, 26, 430, 994, 4423, 304, 1057, 3070, 9622, 288, 709, 11, 279, 1888, 1648, 311, 3568, 449, 433, 374, 7214, 323, 96029, 627, 44, 380, 2094, 527, 961, 315, 889, 584, 527, 323, 584, 4460, 311, 1304, 264, 5597, 430, 584, 1051, 539, 2133, 311, 1095, 8060, 323, 21648, 2567, 603, 505, 3515, 279, 1888, 5133, 584, 11000, 1436, 627, 48567, 18872, 1555, 27358, 323, 26434, 690, 387, 961, 315, 1057, 3070, 719, 21648, 690, 617, 912, 2035, 627, 2181, 60832, 13, 1102, 34527, 82, 627, 2059, 373, 4250, 387, 961, 315, 904, 9498, 5133, 627, 1548, 7378, 13, 1226, 15243, 922, 279, 4360, 520, 1450, 11, 15243, 922, 8475, 91852, 11193, 11, 323, 43603, 1855, 1023, 97470, 13, 358, 1095, 1461, 1440, 1268, 12691, 315, 1461, 358, 574, 11, 323, 1268, 1790, 358, 10456, 1461, 1981, 1243, 358, 16447, 1461, 1234, 279, 32249, 369, 1403, 5672, 1981, 1120, 56825, 13, 1226, 1541, 1431, 617, 32249, 627, 38, 11476, 11, 369, 264, 4261, 11, 649, 387, 1695, 13, 1102, 649, 4128, 1461, 311, 757, 369, 53150, 13, 88635, 1587, 279, 14329, 13, 1102, 62849, 627, 5159, 4538, 574, 22954, 430, 813, 28950, 1053, 6678, 264, 64785, 1990, 603, 1981, 430, 358, 1053, 387, 1095, 1523, 323, 49230, 315, 856, 4538, 627, 29174, 11, 304, 430, 4545, 11, 315, 603, 14892, 449, 813, 21294, 11, 358, 6612, 18954, 1093, 813, 7126, 1109, 358, 656, 220, 1484, 4, 315, 279, 892, 994, 682, 374, 1664, 304, 1057, 1917, 627, 18433, 430, 753, 1268, 264, 1695, 7126, 31680, 13, 1442, 568, 574, 856, 9548, 11, 568, 1053, 617, 1027, 14219, 1317, 4227, 13, 2030, 568, 753, 856, 4538, 13, 1283, 3250, 1431, 636, 14219, 13, 1283, 5334, 13541, 12401, 627, 4071, 1268, 6288, 584, 527, 311, 6013, 311, 4359, 304, 279, 1890, 1648, 627, 10156, 1093, 15387, 323, 1120, 1093, 856, 8334, 11, 994, 584, 3775, 11, 584, 10477, 13, 1226, 1505, 264, 30773, 311, 46764, 4920, 477, 584, 6958, 1057, 9072, 1523, 323, 46943, 704, 279, 3321, 13, 8595, 30, 9393, 584, 1095, 1057, 33621, 1523, 13, 1226, 3207, 539, 28390, 311, 387, 813, 2911, 13, 1226, 13383, 430, 584, 3207, 1903, 505, 26351, 11, 323, 584, 3207, 20134, 323, 19557, 11, 323, 1148, 20941, 1053, 3596, 387, 12691, 315, 430, 5380, 4071, 1243, 4359, 4131, 3411, 369, 603, 627, 1687, 3207, 5414, 2911, 13, 2876, 8420, 11, 323, 994, 2911, 1304, 21294, 11, 499, 6958, 1124, 12401, 11, 539, 4585, 1124, 3201, 13, 1115, 374, 1405, 26339, 49058, 3604, 5097, 2035, 627, 4438, 3629, 656, 584, 2187, 21648, 311, 2567, 603, 304, 26092, 11, 311, 1304, 603, 1390, 311, 1629, 3201, 30, 2650, 3629, 656, 584, 23289, 1057, 88150, 20941, 5992, 520, 603, 323, 63130, 813, 2010, 4856, 1109, 5992, 520, 603, 11, 1790, 1093, 358, 1550, 449, 856, 4538, 11, 449, 6784, 323, 264, 28075, 304, 813, 4851, 1981, 6784, 323, 264, 28075, 1606, 568, 16008, 603, 10565, 1057, 315, 264, 10457, 430, 584, 584, 649, 1431, 2586, 2162, 11, 430, 584, 3207, 539, 1695, 3403, 11, 430, 568, 6325, 603, 1981, 264, 2697, 2753, 1109, 279, 2216, 1695, 2911, 627, 1687, 2187, 279, 21648, 315, 1057, 21294, 311, 7066, 1057, 12135, 11, 430, 11, 1606, 315, 1884, 1633, 21294, 11, 1436, 387, 1903, 779, 1790, 810, 13513, 11, 32487, 11, 323, 12190, 627, 5159, 25237, 4333, 51499, 969, 1511, 311, 2019, 11, 1054, 791, 27607, 37202, 1431, 1972, 3156, 499, 617, 701, 1176, 4465, 18319, 358, 4510, 1077, 13, 1102, 753, 304, 1057, 41859, 430, 1972, 66264, 12302, 627, 8161, 1431, 2187, 21648, 311, 2567, 499, 505, 5108, 2162, 311, 4359, 627, 31521, 268, 275, 750, 584, 1440, 430, 912, 832, 374, 4832, 11, 323, 4400, 7077, 304, 1057, 2324, 430, 8967, 584, 1051, 2133, 311, 387, 4832, 505, 1457, 389, 1981, 539, 1524, 1057, 5597, 311, 1833, 3771, 13, 2100, 1095, 753, 539, 37604, 2212, 439, 422, 584, 11846, 430, 11, 323, 2187, 21648, 311, 1304, 603, 31114, 505, 264, 810, 32487, 5133, 449, 1057, 14268, 21955, 20941, 627, 4897, 753, 539, 4359, 753, 14944, 13, 3011, 574, 279, 1486, 315, 279, 5425, 323, 279, 62532, 1981, 311, 1095, 603, 1440, 430, 7589, 3250, 1431, 617, 311, 9396, 627, 2181, 753, 892, 584, 12234, 323, 4287, 430, 39285, 16490, 67031, 9, 430, 374, 1120, 779, 2653, 369, 603, 311, 42276, 7170, 1981, 1095, 753, 1427, 369, 4359, 304, 1884, 14269, 11, 323, 539, 31114, 1139, 26092, 449, 1057, 21648, 1981, 1606, 568, 753, 2133, 311, 2586, 3411, 369, 603, 63445, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828 ]
[ 128000, 23956, 374, 264, 40853, 315, 264, 11495, 220, 845, 339, 9478, 6498, 28568, 323, 5415, 1543, 5380, 23956, 220, 1114, 339, 9478, 6498, 40360, 374, 11495, 369, 330, 4368, 329, 1082, 28351, 498, 330, 4368, 329, 1082, 3263, 2692, 1, 323, 330, 24903, 942, 4701, 263, 75460, 1, 5380, 23956, 6498, 40360, 11, 13859, 266, 380, 11, 323, 1989, 44068, 11, 264, 54047, 304, 279, 7665, 4007, 315, 13759, 18516, 19354, 6267, 4095, 627, 57741, 279, 84088, 1, 574, 4756, 304, 578, 8691, 315, 220, 7529, 19, 13, 426, 6577, 263, 574, 264, 63100, 40360, 11, 99468, 11, 6160, 42606, 323, 7061, 389, 6498, 19071, 323, 51286, 11, 50961, 323, 11002, 1989, 323, 32349, 13, 12220, 4435, 5111, 8105, 323, 539, 1317, 1603, 568, 8636, 11, 426, 6577, 263, 1101, 6267, 279, 4208, 33894, 330, 791, 55792, 315, 279, 78614, 23811, 23956, 374, 264, 40853, 315, 264, 11495, 220, 845, 339, 9478, 6498, 28568, 323, 5415, 1543, 320, 438, 11, 304, 264, 3010, 9478, 11, 264, 11495, 8013, 30581, 12106, 128001, 128000, 32, 502, 4668, 420, 1060, 706, 1027, 11838, 832, 810, 1938, 19309, 11, 311, 1304, 3967, 311, 439, 1690, 2254, 5315, 439, 3284, 627, 2181, 374, 264, 990, 3190, 17057, 555, 279, 30160, 10181, 304, 20632, 449, 279, 6011, 315, 30160, 15177, 315, 8611, 265, 393, 613, 55397, 627, 791, 1633, 3995, 16587, 1195, 304, 279, 14458, 315, 432, 820, 276, 11, 23880, 7023, 52647, 7304, 432, 17270, 47512, 315, 1120, 220, 806, 11, 706, 9152, 311, 66084, 279, 1888, 16587, 1195, 315, 18157, 304, 1202, 5699, 13, 128001, 128000, 8607, 315, 1057, 8403, 1390, 279, 7720, 315, 26012, 304, 1972, 12675, 719, 539, 279, 5435, 5938, 449, 1694, 64729, 13, 44015, 13383, 430, 814, 649, 22829, 430, 5915, 555, 12096, 477, 24435, 304, 20658, 21515, 8554, 627, 34976, 287, 304, 61998, 649, 3493, 15528, 11, 15062, 4780, 2085, 279, 5435, 5938, 449, 15637, 13, 55555, 61998, 320, 5227, 17017, 8, 527, 6118, 3984, 555, 14286, 323, 1023, 40651, 5220, 311, 7431, 1274, 311, 3780, 10632, 627, 11458, 11, 7170, 64488, 527, 12153, 311, 9966, 17017, 369, 8125, 4994, 872, 2585, 13, 763, 1884, 5157, 11, 279, 23703, 315, 279, 2162, 649, 1180, 439, 279, 6201, 323, 1893, 264, 21515, 369, 279, 26171, 13, 9176, 37249, 3412, 1521, 61998, 323, 4774, 279, 8515, 6530, 814, 3493, 13, 4452, 11, 1063, 2162, 37249, 14, 23840, 4662, 1124, 311, 15167, 627, 12834, 1521, 10632, 527, 6118, 520, 3428, 7969, 11, 814, 527, 6216, 520, 264, 11336, 311, 5376, 279, 4478, 315, 471, 13, 22938, 449, 264, 21515, 23117, 11, 15528, 36508, 315, 13489, 220, 23, 4, 649, 387, 17427, 627, 13622, 1274, 1541, 1431, 1440, 430, 15167, 649, 3780, 682, 477, 961, 315, 264, 21515, 13, 7648, 2162, 17017, 15196, 304, 220, 508, 311, 220, 966, 1667, 13, 1442, 4423, 6944, 872, 6864, 6052, 304, 220, 605, 477, 17162, 1667, 11, 279, 9341, 3392, 649, 387, 24257, 11, 323, 279, 4751, 66663, 311, 5052, 279, 30693, 753, 3966, 627, 13622, 315, 603, 617, 6755, 315, 279, 1579, 2162, 7729, 304, 35335, 9919, 1093, 9853, 12167, 11, 5960, 13175, 323, 1561, 4356, 13, 9176, 1781, 1884, 527, 279, 1888, 11987, 311, 2793, 304, 1606, 7729, 3136, 311, 5376, 13, 4452, 11, 994, 26012, 304, 61998, 11, 3157, 20334, 374, 1401, 627, 8607, 1579, 85837, 11987, 5602, 2819, 6068, 439, 1790, 439, 220, 1135, 4, 304, 279, 1566, 76506, 11, 1418, 5789, 15871, 304, 279, 5209, 38702, 10534, 4827, 54208, 315, 18174, 13, 3277, 26012, 304, 61998, 832, 315, 279, 1401, 9547, 374, 279, 3392, 315, 279, 11941, 7863, 311, 279, 2162, 596, 907, 13, 1442, 279, 21515, 374, 1193, 220, 1272, 4, 315, 279, 907, 11, 433, 690, 387, 8831, 369, 279, 70719, 311, 1304, 872, 14507, 627, 2181, 374, 1101, 3062, 311, 3780, 17017, 1405, 279, 64488, 617, 264, 3925, 315, 3339, 872, 14507, 13, 46402, 11, 15167, 1390, 311, 1518, 520, 3325, 264, 220, 1187, 23086, 3925, 311, 2980, 264, 11941, 1054, 17217, 291, 11453, 79047, 388, 889, 617, 1903, 279, 1176, 1403, 1667, 14507, 527, 1790, 810, 4461, 311, 3136, 3339, 14507, 627, 3947, 527, 1690, 1023, 9547, 311, 2980, 994, 26012, 304, 17017, 13, 19292, 279, 1455, 3062, 374, 311, 990, 449, 459, 10534, 6721, 304, 279, 2115, 13, 9843, 499, 4070, 1766, 430, 11, 279, 5687, 520, 48241, 592, 649, 1520, 499, 1935, 2512, 315, 279, 2800, 627, 36724, 555, 25, 12131, 480, 13, 79334, 11, 37409, 11, 3778, 7181, 18880, 627, 42315, 79334, 706, 1027, 304, 279, 21515, 40651, 323, 1972, 12675, 9341, 25946, 369, 927, 220, 966, 1667, 13, 20636, 1027, 264, 12717, 304, 3892, 19339, 11, 44853, 927, 400, 16, 13, 20, 10306, 315, 17017, 11, 29091, 304, 19903, 753, 11983, 7224, 323, 1054, 1517, 6586, 863, 220, 972, 6012, 568, 374, 5131, 12096, 323, 11486, 2162, 61998, 369, 813, 1866, 20136, 323, 3885, 13, 1789, 810, 2038, 4034, 8604, 13904, 1962, 762, 391, 916, 627, 128001, 128000, 2028, 5684, 6821, 389, 7620, 430, 617, 9087, 3995, 1274, 304, 11469, 5961, 88688, 39345, 71177, 11, 2737, 80430, 7392, 17755, 11, 18189, 279, 1396, 315, 7392, 8717, 11, 323, 7859, 279, 1005, 315, 5528, 315, 27252, 20209, 323, 27681, 34699, 30020, 320, 790, 3957, 705, 1836, 198, 791, 11630, 374, 264, 5507, 20034, 520, 10695, 29533, 311, 8891, 323, 15806, 7392, 323, 42889, 2890, 39455, 11, 3508, 814, 387, 3927, 7224, 477, 961, 315, 8294, 38737, 1093, 279, 21283, 14, 1899, 37, 8201, 38756, 369, 3402, 299, 68243, 6401, 304, 13936, 627, 791, 2144, 11071, 1176, 15100, 3249, 1695, 42889, 2890, 369, 3995, 1274, 374, 3062, 323, 1243, 18911, 264, 6671, 315, 279, 42889, 6439, 315, 3995, 1274, 3432, 627, 644, 220, 2550, 24, 11, 279, 6011, 369, 7327, 11050, 320, 5375, 926, 8, 24853, 264, 4330, 4771, 18629, 315, 3495, 1139, 3995, 1274, 596, 7392, 323, 42889, 2890, 304, 66281, 3224, 5110, 627, 2028, 5684, 22262, 311, 1935, 264, 12401, 1427, 520, 279, 5536, 315, 279, 42620, 389, 2911, 320, 15, 12, 972, 1667, 2362, 705, 902, 374, 7982, 11, 555, 34988, 323, 52389, 4954, 3892, 3495, 7978, 430, 617, 1027, 13375, 927, 279, 1667, 304, 279, 13936, 64976, 5654, 627, 9370, 5730, 4861, 14955, 505, 264, 3116, 56971, 11, 15439, 4007, 304, 71740, 2259, 435, 40055, 11, 55091, 11, 95104, 11, 323, 68519, 3314, 11, 6890, 11, 430, 25078, 279, 4787, 430, 31087, 279, 22315, 315, 1274, 5496, 449, 23495, 93646, 320, 2989, 17455, 8, 304, 47886, 2532, 9889, 627, 2028, 374, 264, 1934, 315, 264, 3804, 33263, 4001, 36202, 389, 67963, 6150, 6401, 323, 39700, 11, 5762, 304, 921, 28323, 77585, 11, 30567, 11, 220, 1691, 12, 914, 6664, 220, 1049, 17, 11, 21685, 555, 279, 27490, 5165, 9849, 369, 81876, 627, 11800, 389, 279, 3320, 771, 220, 1049, 17, 5727, 13443, 389, 2911, 13036, 291, 555, 23495, 93646, 505, 220, 2421, 5961, 11, 6492, 315, 279, 18845, 1766, 304, 1884, 13443, 11, 323, 15174, 323, 16565, 369, 10695, 279, 2911, 627, 2028, 15813, 374, 832, 315, 6781, 5604, 37, 596, 19564, 311, 5414, 67344, 596, 10423, 315, 50064, 596, 5165, 46661, 9878, 389, 23495, 93646, 320, 1049, 17, 12, 1049, 21, 8, 323, 6299, 311, 3449, 1202, 42356, 505, 279, 6781, 3331, 12000, 9984, 31900, 389, 23495, 93646, 320, 28259, 220, 1049, 16, 8, 389, 15394, 320, 11356, 220, 1049, 17, 8, 323, 279, 8384, 268, 2411, 198, 2028, 12735, 49095, 23495, 93646, 38009, 304, 816, 15278, 276, 13, 578, 5536, 389, 2911, 374, 2103, 7347, 11, 8051, 433, 374, 4461, 311, 10205, 927, 279, 1828, 13515, 4245, 311, 279, 19821, 315, 2867, 4947, 304, 420, 3158, 13, 9983, 2819, 5471, 279, 3575, 505, 1694, 82457, 30447, 13, 128001, 128000, 46, 6897, 67795, 5825, 43257, 11, 1567, 323, 9284, 6373, 3600, 369, 3544, 5569, 36027, 4455, 11, 45593, 11, 3109, 7224, 323, 21426, 2077, 13, 1226, 617, 16781, 3217, 304, 4729, 4500, 11, 7677, 11, 84484, 11, 51806, 81715, 11, 53678, 11, 18386, 11, 15808, 9293, 11, 9513, 15194, 11, 2447, 38189, 11, 2447, 6373, 11, 28377, 11, 20323, 11835, 11, 4868, 11, 11572, 3235, 449, 22150, 6727, 11, 60506, 11, 18459, 323, 7677, 627, 46, 6897, 40, 706, 3217, 22581, 3544, 13230, 21426, 14228, 5435, 11, 2737, 18386, 11, 43257, 323, 11983, 26, 8405, 43257, 11, 18386, 323, 1567, 6373, 369, 5054, 323, 36027, 4455, 323, 304, 9284, 6373, 369, 25944, 94014, 11, 39701, 323, 8717, 389, 279, 7928, 315, 18094, 11, 279, 33063, 627, 1687, 3493, 1317, 9860, 28377, 11, 2737, 6020, 6373, 315, 682, 19160, 17517, 11, 449, 7757, 11, 30519, 323, 13426, 11, 3235, 449, 5410, 2065, 315, 32729, 26, 2875, 9860, 28377, 11, 6007, 14356, 2778, 11, 5226, 323, 1977, 412, 26, 25438, 22150, 2778, 323, 5226, 11, 18386, 11, 2737, 11731, 11, 12050, 323, 6988, 388, 26, 83273, 26, 19672, 26, 65151, 26, 18412, 5153, 26, 35189, 26, 990, 27753, 12506, 26, 16924, 26, 2816, 323, 22150, 31261, 627, 82477, 1057, 8403, 279, 1455, 8056, 7224, 369, 264, 6992, 1567, 13, 128001, 128000, 2127, 19451, 315, 79340, 29668, 11, 48451, 11, 71160, 311, 51696, 323, 990, 2653, 320, 438, 617, 2523, 8, 369, 264, 5743, 315, 5672, 4999, 2028, 3388, 374, 3196, 389, 264, 15325, 304, 68243, 5603, 13, 15636, 11, 3766, 6677, 374, 539, 2631, 13, 66736, 6677, 48282, 2391, 279, 3388, 11, 323, 520, 279, 842, 279, 4236, 1304, 264, 872, 1866, 12399, 922, 872, 6975, 627, 2028, 3388, 374, 7718, 311, 1212, 11469, 264, 4279, 4221, 11, 264, 5505, 743, 315, 7526, 323, 264, 6206, 10539, 9435, 28697, 1920, 11, 430, 1520, 279, 4236, 2731, 1935, 9610, 315, 279, 4459, 386, 5484, 2068, 627, 12, 71994, 279, 7902, 1990, 19297, 323, 907, 9886, 323, 279, 3560, 28697, 11335, 627, 12, 71994, 279, 30295, 315, 6975, 323, 6677, 6373, 5995, 369, 19297, 7224, 627, 12, 8000, 10758, 323, 15864, 7512, 627, 791, 1749, 5848, 5603, 374, 6319, 311, 31087, 4642, 6975, 323, 6106, 430, 4236, 12722, 4305, 872, 19297, 7224, 13, 16853, 791, 19297, 2447, 374, 279, 6913, 16665, 315, 420, 3388, 13, 578, 24442, 23783, 323, 279, 5150, 6725, 527, 7718, 311, 7068, 5655, 6975, 13, 578, 19297, 2447, 38480, 520, 279, 842, 315, 279, 3388, 527, 16188, 311, 4430, 2204, 11704, 449, 1855, 1023, 13, 10106, 20852, 374, 2631, 505, 682, 4236, 627, 12, 68432, 1609, 14694, 306, 76, 7141, 5893, 72, 11, 386, 2637, 330, 31844, 1968, 25, 23260, 323, 279, 31018, 315, 18841, 323, 28229, 498, 33107, 3700, 32331, 11, 220, 2550, 22, 627, 12, 5384, 1727, 78, 11, 386, 2637, 330, 39787, 14200, 1065, 264, 76349, 315, 11782, 100051, 12823, 1, 18165, 15535, 8612, 11, 220, 2550, 16, 627, 12, 27211, 11, 423, 13, 473, 2637, 330, 32, 4459, 502, 4059, 13, 8595, 1314, 31217, 21211, 690, 6037, 279, 3938, 498, 578, 51291, 3258, 37933, 5856, 11, 220, 1049, 21, 13, 128001 ]
[ -100, 23956, 374, 264, 40853, 315, 264, 11495, 220, 845, 339, 9478, 6498, 28568, 323, 5415, 1543, 5380, 23956, 220, 1114, 339, 9478, 6498, 40360, 374, 11495, 369, 330, 4368, 329, 1082, 28351, 498, 330, 4368, 329, 1082, 3263, 2692, 1, 323, 330, 24903, 942, 4701, 263, 75460, 1, 5380, 23956, 6498, 40360, 11, 13859, 266, 380, 11, 323, 1989, 44068, 11, 264, 54047, 304, 279, 7665, 4007, 315, 13759, 18516, 19354, 6267, 4095, 627, 57741, 279, 84088, 1, 574, 4756, 304, 578, 8691, 315, 220, 7529, 19, 13, 426, 6577, 263, 574, 264, 63100, 40360, 11, 99468, 11, 6160, 42606, 323, 7061, 389, 6498, 19071, 323, 51286, 11, 50961, 323, 11002, 1989, 323, 32349, 13, 12220, 4435, 5111, 8105, 323, 539, 1317, 1603, 568, 8636, 11, 426, 6577, 263, 1101, 6267, 279, 4208, 33894, 330, 791, 55792, 315, 279, 78614, 23811, 23956, 374, 264, 40853, 315, 264, 11495, 220, 845, 339, 9478, 6498, 28568, 323, 5415, 1543, 320, 438, 11, 304, 264, 3010, 9478, 11, 264, 11495, 8013, 30581, 12106, 128001, -100, 32, 502, 4668, 420, 1060, 706, 1027, 11838, 832, 810, 1938, 19309, 11, 311, 1304, 3967, 311, 439, 1690, 2254, 5315, 439, 3284, 627, 2181, 374, 264, 990, 3190, 17057, 555, 279, 30160, 10181, 304, 20632, 449, 279, 6011, 315, 30160, 15177, 315, 8611, 265, 393, 613, 55397, 627, 791, 1633, 3995, 16587, 1195, 304, 279, 14458, 315, 432, 820, 276, 11, 23880, 7023, 52647, 7304, 432, 17270, 47512, 315, 1120, 220, 806, 11, 706, 9152, 311, 66084, 279, 1888, 16587, 1195, 315, 18157, 304, 1202, 5699, 13, 128001, -100, 8607, 315, 1057, 8403, 1390, 279, 7720, 315, 26012, 304, 1972, 12675, 719, 539, 279, 5435, 5938, 449, 1694, 64729, 13, 44015, 13383, 430, 814, 649, 22829, 430, 5915, 555, 12096, 477, 24435, 304, 20658, 21515, 8554, 627, 34976, 287, 304, 61998, 649, 3493, 15528, 11, 15062, 4780, 2085, 279, 5435, 5938, 449, 15637, 13, 55555, 61998, 320, 5227, 17017, 8, 527, 6118, 3984, 555, 14286, 323, 1023, 40651, 5220, 311, 7431, 1274, 311, 3780, 10632, 627, 11458, 11, 7170, 64488, 527, 12153, 311, 9966, 17017, 369, 8125, 4994, 872, 2585, 13, 763, 1884, 5157, 11, 279, 23703, 315, 279, 2162, 649, 1180, 439, 279, 6201, 323, 1893, 264, 21515, 369, 279, 26171, 13, 9176, 37249, 3412, 1521, 61998, 323, 4774, 279, 8515, 6530, 814, 3493, 13, 4452, 11, 1063, 2162, 37249, 14, 23840, 4662, 1124, 311, 15167, 627, 12834, 1521, 10632, 527, 6118, 520, 3428, 7969, 11, 814, 527, 6216, 520, 264, 11336, 311, 5376, 279, 4478, 315, 471, 13, 22938, 449, 264, 21515, 23117, 11, 15528, 36508, 315, 13489, 220, 23, 4, 649, 387, 17427, 627, 13622, 1274, 1541, 1431, 1440, 430, 15167, 649, 3780, 682, 477, 961, 315, 264, 21515, 13, 7648, 2162, 17017, 15196, 304, 220, 508, 311, 220, 966, 1667, 13, 1442, 4423, 6944, 872, 6864, 6052, 304, 220, 605, 477, 17162, 1667, 11, 279, 9341, 3392, 649, 387, 24257, 11, 323, 279, 4751, 66663, 311, 5052, 279, 30693, 753, 3966, 627, 13622, 315, 603, 617, 6755, 315, 279, 1579, 2162, 7729, 304, 35335, 9919, 1093, 9853, 12167, 11, 5960, 13175, 323, 1561, 4356, 13, 9176, 1781, 1884, 527, 279, 1888, 11987, 311, 2793, 304, 1606, 7729, 3136, 311, 5376, 13, 4452, 11, 994, 26012, 304, 61998, 11, 3157, 20334, 374, 1401, 627, 8607, 1579, 85837, 11987, 5602, 2819, 6068, 439, 1790, 439, 220, 1135, 4, 304, 279, 1566, 76506, 11, 1418, 5789, 15871, 304, 279, 5209, 38702, 10534, 4827, 54208, 315, 18174, 13, 3277, 26012, 304, 61998, 832, 315, 279, 1401, 9547, 374, 279, 3392, 315, 279, 11941, 7863, 311, 279, 2162, 596, 907, 13, 1442, 279, 21515, 374, 1193, 220, 1272, 4, 315, 279, 907, 11, 433, 690, 387, 8831, 369, 279, 70719, 311, 1304, 872, 14507, 627, 2181, 374, 1101, 3062, 311, 3780, 17017, 1405, 279, 64488, 617, 264, 3925, 315, 3339, 872, 14507, 13, 46402, 11, 15167, 1390, 311, 1518, 520, 3325, 264, 220, 1187, 23086, 3925, 311, 2980, 264, 11941, 1054, 17217, 291, 11453, 79047, 388, 889, 617, 1903, 279, 1176, 1403, 1667, 14507, 527, 1790, 810, 4461, 311, 3136, 3339, 14507, 627, 3947, 527, 1690, 1023, 9547, 311, 2980, 994, 26012, 304, 17017, 13, 19292, 279, 1455, 3062, 374, 311, 990, 449, 459, 10534, 6721, 304, 279, 2115, 13, 9843, 499, 4070, 1766, 430, 11, 279, 5687, 520, 48241, 592, 649, 1520, 499, 1935, 2512, 315, 279, 2800, 627, 36724, 555, 25, 12131, 480, 13, 79334, 11, 37409, 11, 3778, 7181, 18880, 627, 42315, 79334, 706, 1027, 304, 279, 21515, 40651, 323, 1972, 12675, 9341, 25946, 369, 927, 220, 966, 1667, 13, 20636, 1027, 264, 12717, 304, 3892, 19339, 11, 44853, 927, 400, 16, 13, 20, 10306, 315, 17017, 11, 29091, 304, 19903, 753, 11983, 7224, 323, 1054, 1517, 6586, 863, 220, 972, 6012, 568, 374, 5131, 12096, 323, 11486, 2162, 61998, 369, 813, 1866, 20136, 323, 3885, 13, 1789, 810, 2038, 4034, 8604, 13904, 1962, 762, 391, 916, 627, 128001, -100, 2028, 5684, 6821, 389, 7620, 430, 617, 9087, 3995, 1274, 304, 11469, 5961, 88688, 39345, 71177, 11, 2737, 80430, 7392, 17755, 11, 18189, 279, 1396, 315, 7392, 8717, 11, 323, 7859, 279, 1005, 315, 5528, 315, 27252, 20209, 323, 27681, 34699, 30020, 320, 790, 3957, 705, 1836, 198, 791, 11630, 374, 264, 5507, 20034, 520, 10695, 29533, 311, 8891, 323, 15806, 7392, 323, 42889, 2890, 39455, 11, 3508, 814, 387, 3927, 7224, 477, 961, 315, 8294, 38737, 1093, 279, 21283, 14, 1899, 37, 8201, 38756, 369, 3402, 299, 68243, 6401, 304, 13936, 627, 791, 2144, 11071, 1176, 15100, 3249, 1695, 42889, 2890, 369, 3995, 1274, 374, 3062, 323, 1243, 18911, 264, 6671, 315, 279, 42889, 6439, 315, 3995, 1274, 3432, 627, 644, 220, 2550, 24, 11, 279, 6011, 369, 7327, 11050, 320, 5375, 926, 8, 24853, 264, 4330, 4771, 18629, 315, 3495, 1139, 3995, 1274, 596, 7392, 323, 42889, 2890, 304, 66281, 3224, 5110, 627, 2028, 5684, 22262, 311, 1935, 264, 12401, 1427, 520, 279, 5536, 315, 279, 42620, 389, 2911, 320, 15, 12, 972, 1667, 2362, 705, 902, 374, 7982, 11, 555, 34988, 323, 52389, 4954, 3892, 3495, 7978, 430, 617, 1027, 13375, 927, 279, 1667, 304, 279, 13936, 64976, 5654, 627, 9370, 5730, 4861, 14955, 505, 264, 3116, 56971, 11, 15439, 4007, 304, 71740, 2259, 435, 40055, 11, 55091, 11, 95104, 11, 323, 68519, 3314, 11, 6890, 11, 430, 25078, 279, 4787, 430, 31087, 279, 22315, 315, 1274, 5496, 449, 23495, 93646, 320, 2989, 17455, 8, 304, 47886, 2532, 9889, 627, 2028, 374, 264, 1934, 315, 264, 3804, 33263, 4001, 36202, 389, 67963, 6150, 6401, 323, 39700, 11, 5762, 304, 921, 28323, 77585, 11, 30567, 11, 220, 1691, 12, 914, 6664, 220, 1049, 17, 11, 21685, 555, 279, 27490, 5165, 9849, 369, 81876, 627, 11800, 389, 279, 3320, 771, 220, 1049, 17, 5727, 13443, 389, 2911, 13036, 291, 555, 23495, 93646, 505, 220, 2421, 5961, 11, 6492, 315, 279, 18845, 1766, 304, 1884, 13443, 11, 323, 15174, 323, 16565, 369, 10695, 279, 2911, 627, 2028, 15813, 374, 832, 315, 6781, 5604, 37, 596, 19564, 311, 5414, 67344, 596, 10423, 315, 50064, 596, 5165, 46661, 9878, 389, 23495, 93646, 320, 1049, 17, 12, 1049, 21, 8, 323, 6299, 311, 3449, 1202, 42356, 505, 279, 6781, 3331, 12000, 9984, 31900, 389, 23495, 93646, 320, 28259, 220, 1049, 16, 8, 389, 15394, 320, 11356, 220, 1049, 17, 8, 323, 279, 8384, 268, 2411, 198, 2028, 12735, 49095, 23495, 93646, 38009, 304, 816, 15278, 276, 13, 578, 5536, 389, 2911, 374, 2103, 7347, 11, 8051, 433, 374, 4461, 311, 10205, 927, 279, 1828, 13515, 4245, 311, 279, 19821, 315, 2867, 4947, 304, 420, 3158, 13, 9983, 2819, 5471, 279, 3575, 505, 1694, 82457, 30447, 13, 128001, -100, 46, 6897, 67795, 5825, 43257, 11, 1567, 323, 9284, 6373, 3600, 369, 3544, 5569, 36027, 4455, 11, 45593, 11, 3109, 7224, 323, 21426, 2077, 13, 1226, 617, 16781, 3217, 304, 4729, 4500, 11, 7677, 11, 84484, 11, 51806, 81715, 11, 53678, 11, 18386, 11, 15808, 9293, 11, 9513, 15194, 11, 2447, 38189, 11, 2447, 6373, 11, 28377, 11, 20323, 11835, 11, 4868, 11, 11572, 3235, 449, 22150, 6727, 11, 60506, 11, 18459, 323, 7677, 627, 46, 6897, 40, 706, 3217, 22581, 3544, 13230, 21426, 14228, 5435, 11, 2737, 18386, 11, 43257, 323, 11983, 26, 8405, 43257, 11, 18386, 323, 1567, 6373, 369, 5054, 323, 36027, 4455, 323, 304, 9284, 6373, 369, 25944, 94014, 11, 39701, 323, 8717, 389, 279, 7928, 315, 18094, 11, 279, 33063, 627, 1687, 3493, 1317, 9860, 28377, 11, 2737, 6020, 6373, 315, 682, 19160, 17517, 11, 449, 7757, 11, 30519, 323, 13426, 11, 3235, 449, 5410, 2065, 315, 32729, 26, 2875, 9860, 28377, 11, 6007, 14356, 2778, 11, 5226, 323, 1977, 412, 26, 25438, 22150, 2778, 323, 5226, 11, 18386, 11, 2737, 11731, 11, 12050, 323, 6988, 388, 26, 83273, 26, 19672, 26, 65151, 26, 18412, 5153, 26, 35189, 26, 990, 27753, 12506, 26, 16924, 26, 2816, 323, 22150, 31261, 627, 82477, 1057, 8403, 279, 1455, 8056, 7224, 369, 264, 6992, 1567, 13, 128001, -100, 2127, 19451, 315, 79340, 29668, 11, 48451, 11, 71160, 311, 51696, 323, 990, 2653, 320, 438, 617, 2523, 8, 369, 264, 5743, 315, 5672, 4999, 2028, 3388, 374, 3196, 389, 264, 15325, 304, 68243, 5603, 13, 15636, 11, 3766, 6677, 374, 539, 2631, 13, 66736, 6677, 48282, 2391, 279, 3388, 11, 323, 520, 279, 842, 279, 4236, 1304, 264, 872, 1866, 12399, 922, 872, 6975, 627, 2028, 3388, 374, 7718, 311, 1212, 11469, 264, 4279, 4221, 11, 264, 5505, 743, 315, 7526, 323, 264, 6206, 10539, 9435, 28697, 1920, 11, 430, 1520, 279, 4236, 2731, 1935, 9610, 315, 279, 4459, 386, 5484, 2068, 627, 12, 71994, 279, 7902, 1990, 19297, 323, 907, 9886, 323, 279, 3560, 28697, 11335, 627, 12, 71994, 279, 30295, 315, 6975, 323, 6677, 6373, 5995, 369, 19297, 7224, 627, 12, 8000, 10758, 323, 15864, 7512, 627, 791, 1749, 5848, 5603, 374, 6319, 311, 31087, 4642, 6975, 323, 6106, 430, 4236, 12722, 4305, 872, 19297, 7224, 13, 16853, 791, 19297, 2447, 374, 279, 6913, 16665, 315, 420, 3388, 13, 578, 24442, 23783, 323, 279, 5150, 6725, 527, 7718, 311, 7068, 5655, 6975, 13, 578, 19297, 2447, 38480, 520, 279, 842, 315, 279, 3388, 527, 16188, 311, 4430, 2204, 11704, 449, 1855, 1023, 13, 10106, 20852, 374, 2631, 505, 682, 4236, 627, 12, 68432, 1609, 14694, 306, 76, 7141, 5893, 72, 11, 386, 2637, 330, 31844, 1968, 25, 23260, 323, 279, 31018, 315, 18841, 323, 28229, 498, 33107, 3700, 32331, 11, 220, 2550, 22, 627, 12, 5384, 1727, 78, 11, 386, 2637, 330, 39787, 14200, 1065, 264, 76349, 315, 11782, 100051, 12823, 1, 18165, 15535, 8612, 11, 220, 2550, 16, 627, 12, 27211, 11, 423, 13, 473, 2637, 330, 32, 4459, 502, 4059, 13, 8595, 1314, 31217, 21211, 690, 6037, 279, 3938, 498, 578, 51291, 3258, 37933, 5856, 11, 220, 1049, 21, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 ]
[ 128000, 50, 1108, 82, 315, 16337, 323, 47291, 2711, 1436, 387, 6755, 520, 279, 3839, 389, 3297, 220, 508, 2001, 1234, 27227, 323, 11, 369, 279, 1176, 892, 11, 2085, 1124, 2001, 439, 279, 21324, 3142, 31483, 19073, 2231, 1139, 2515, 279, 22108, 1357, 388, 331, 337, 5174, 51506, 10229, 753, 320, 44, 5987, 32, 8, 19351, 11, 902, 14610, 7056, 2695, 13992, 2391, 16166, 10034, 439, 10309, 627, 791, 3297, 220, 972, 386, 5987, 32, 19351, 5415, 430, 369, 16166, 10034, 11, 23579, 304, 4642, 1514, 477, 389, 279, 13731, 11, 439, 1664, 439, 682, 1023, 17274, 520, 264, 1847, 889, 649, 10519, 3674, 6138, 11, 527, 539, 2631, 311, 10051, 264, 7056, 13, 1789, 3428, 46570, 30619, 10034, 11, 23579, 889, 649, 10519, 264, 6138, 315, 220, 975, 7693, 477, 810, 527, 539, 2631, 311, 10051, 264, 7056, 11, 1418, 70402, 527, 2103, 2631, 311, 3504, 872, 12580, 627, 791, 19351, 574, 6004, 439, 220, 717, 12, 868, 1060, 65248, 6244, 17446, 311, 5371, 279, 25474, 11, 4726, 6522, 311, 24245, 25972, 29492, 753, 17480, 389, 3297, 220, 1114, 430, 459, 6177, 7056, 2015, 690, 1935, 2515, 3297, 220, 1682, 627, 791, 2015, 55212, 279, 41991, 369, 31974, 7935, 753, 320, 74558, 8, 3297, 220, 1032, 19351, 430, 7373, 70558, 1274, 649, 16063, 4661, 682, 864, 2320, 438, 8274, 7640, 2085, 12512, 264, 7056, 477, 10494, 3674, 6138, 11, 3582, 20157, 2997, 1418, 389, 586, 18386, 11, 4871, 8853, 323, 304, 24461, 627, 791, 9650, 41544, 27924, 11, 13051, 11, 67233, 323, 16267, 369, 1690, 11, 323, 13160, 264, 13353, 1486, 304, 279, 28522, 13, 578, 12093, 277, 12570, 449, 4987, 2748, 11, 2890, 4947, 6335, 323, 10690, 3907, 753, 6150, 315, 3142, 6401, 25028, 323, 17054, 2999, 13, 14937, 819, 622, 4317, 922, 813, 20492, 323, 19351, 9002, 1521, 502, 26006, 627, 41, 4317, 1071, 568, 10213, 34008, 449, 279, 40409, 753, 19351, 430, 70558, 1274, 656, 539, 1205, 311, 10051, 27227, 55154, 477, 704, 11, 3686, 430, 568, 374, 2103, 11920, 922, 1694, 7056, 1752, 55154, 1606, 220, 717, 12, 868, 1060, 65248, 889, 6244, 17446, 369, 40300, 389, 3297, 220, 717, 690, 539, 387, 7373, 2682, 369, 520, 3325, 2500, 2305, 627, 99635, 12908, 11, 2737, 16166, 10034, 11, 389, 279, 1023, 1450, 11, 527, 6220, 449, 279, 20157, 315, 39313, 47679, 323, 57431, 11, 568, 1071, 627, 1688, 682, 18094, 315, 279, 28522, 11, 15851, 315, 502, 8198, 323, 3495, 11, 1070, 617, 1027, 91367, 304, 7056, 13627, 29054, 13, 7570, 520, 4987, 11, 7411, 617, 11798, 279, 502, 19351, 22009, 627, 791, 7724, 3839, 2128, 9731, 311, 10051, 27227, 520, 6725, 994, 539, 4401, 11, 24862, 27144, 79663, 1676, 754, 839, 64, 1071, 13, 578, 7724, 32515, 2128, 11, 4869, 11, 1193, 38400, 27227, 994, 4737, 279, 5951, 311, 3201, 9248, 627, 791, 502, 17959, 2733, 12309, 6220, 11, 27144, 7724, 44979, 53456, 2851, 356, 37029, 25507, 1071, 11, 5423, 439, 1455, 220, 845, 12, 1114, 1060, 65248, 527, 7373, 70558, 323, 2682, 1306, 10671, 17446, 5936, 220, 777, 627, 7098, 754, 839, 64, 1071, 430, 279, 25474, 706, 14090, 40028, 1077, 6981, 5990, 627, 86332, 45084, 13305, 44979, 53456, 2851, 39315, 2009, 5028, 1149, 1071, 430, 568, 11321, 6220, 4737, 1022, 813, 7056, 1606, 568, 66614, 279, 19248, 315, 1884, 889, 1903, 279, 17959, 627, 38684, 279, 1274, 889, 617, 810, 3217, 304, 279, 6593, 2115, 1109, 358, 656, 2733, 430, 433, 374, 6220, 11, 1243, 358, 1097, 5644, 311, 27830, 430, 2476, 568, 1071, 627, 75588, 32515, 24862, 10195, 51444, 1901, 789, 258, 1071, 430, 433, 706, 1027, 264, 9320, 11, 719, 430, 304, 5369, 311, 1077, 10213, 8437, 4575, 15846, 2128, 11, 279, 5376, 304, 7649, 706, 20162, 311, 1077, 8430, 6220, 627, 16856, 323, 79176, 690, 387, 1401, 994, 3411, 8469, 311, 264, 1054, 8416, 863, 4498, 11, 622, 4317, 1071, 11, 422, 8853, 656, 539, 35381, 40300, 13, 1283, 1071, 430, 1274, 649, 323, 1288, 2103, 10051, 27227, 11, 5423, 422, 814, 2733, 810, 10882, 3815, 779, 627, 128001, 128000, 2675, 527, 2728, 459, 1358, 1630, 315, 308, 5540, 11, 3350, 264, 2068, 311, 1505, 8857, 2449, 304, 459, 1358, 13, 362, 8857, 2449, 374, 459, 2449, 430, 8111, 810, 1109, 308, 14, 17, 3115, 11, 779, 1070, 374, 520, 1455, 832, 1778, 2449, 13, 63297, 430, 1358, 374, 2536, 40533, 323, 8857, 2449, 2744, 6866, 304, 279, 1358, 13, 7181, 25, 1115, 374, 459, 9250, 3575, 311, 4048, 5370, 20414, 627, 29673, 311, 636, 1664, 6319, 2262, 389, 828, 6070, 323, 26249, 11, 5780, 6975, 11, 1887, 2955, 11, 1665, 11744, 67, 15840, 323, 7033, 13, 128001, 128000, 3261, 94680, 311, 3230, 36249, 477, 3813, 304, 198, 644, 25213, 11, 264, 94680, 11, 477, 5042, 264, 2723, 11, 374, 264, 5905, 311, 828, 430, 279, 6742, 649, 6089, 1833, 3060, 555, 18965, 11, 53728, 11, 477, 69707, 13, 362, 94680, 3585, 13, 6074, 287, 311, 22521, 477, 29631, 12922, 25218, 11612, 82, 26, 3566, 7902, 555, 20061, 279, 5665, 2686, 304, 279, 2262, 315, 279, 2246, 323, 1243, 19301, 279, 4324, 26496, 505, 36106, 4390, 14099, 287, 264, 94680, 1139, 264, 1052, 6276, 3885, 311, 2033, 29218, 279, 2723, 323, 9651, 1817, 704, 264, 5000, 2816, 11, 2246, 11, 477, 1023, 2038, 13, 17539, 287, 264, 94680, 328, 8905, 5210, 9506, 11, 1314, 4299, 304, 2246, 58523, 1304, 1495, 8294, 304, 5130, 30, 6425, 26, 2650, 2057, 14903, 29485, 7730, 989, 763, 5210, 9506, 49107, 26, 328, 8905, 2650, 649, 1005, 198, 4438, 311, 1893, 31301, 17508, 16259, 304, 264, 55662, 2217, 3489, 6347, 198, 4438, 656, 358, 1893, 264, 94680, 311, 1825, 264, 2246, 29966, 13, 994, 499, 1893, 13072, 9477, 11, 499, 2643, 1390, 311, 2997, 264, 94680, 311, 264, 3566, 2199, 1405, 13016, 649, 733, 311, 636, 810, 2038, 389, 264, 3917, 13, 16632, 20061, 279, 2576, 315, 11, 15960, 682, 11, 832, 315, 856, 18105, 374, 4560, 311, 2723, 311, 9477, 389, 264, 4009, 6678, 13, 279, 2723, 374, 2555, 1093, 25, 26033, 3696, 344, 327, 18854, 59, 18135, 87, 59, 2465, 1178, 5349, 24595, 4869, 994, 568, 28849, 433, 4390, 4438, 649, 358, 1893, 264, 2723, 311, 264, 18559, 2246, 1684, 477, 13, 1268, 656, 602, 1304, 264, 1052, 1129, 94680, 430, 4375, 304, 2225, 30958, 323, 279, 1052, 61996, 7902, 527, 264, 8695, 3813, 389, 701, 17963, 323, 433, 690, 1893, 264, 1052, 430, 74157, 439, 11, 220, 1682, 14, 2371, 14, 679, 20, 5591, 5927, 14260, 856, 10565, 6067, 374, 25, 11276, 220, 22, 1701, 1008, 15784, 1645, 76201, 463, 38690, 602, 617, 3549, 264, 1217, 8641, 304, 10030, 3492, 220, 679, 18, 902, 5727, 17508, 16259, 311, 1023, 9477, 36434, 128001, 128000, 5159, 13219, 323, 358, 527, 74740, 369, 1057, 220, 5925, 11160, 13, 2362, 3450, 13, 3092, 13219, 374, 10671, 5986, 505, 279, 8631, 13, 3092, 3450, 6439, 63891, 315, 856, 13219, 323, 10177, 13, 3092, 13219, 649, 956, 733, 50007, 1524, 422, 1364, 596, 1027, 63891, 682, 1938, 1174, 2085, 22969, 5605, 330, 8161, 956, 10894, 922, 757, 11, 433, 596, 779, 40666, 1523, 1618, 3343, 3277, 358, 2586, 927, 311, 4034, 3892, 3115, 264, 2046, 11, 439, 358, 1097, 9564, 369, 2162, 11, 1364, 6835, 757, 279, 1890, 330, 12490, 989, 1, 8982, 13, 3005, 41716, 311, 733, 311, 904, 10195, 4219, 323, 387, 449, 1884, 315, 1077, 4325, 13, 1226, 1440, 1364, 3250, 956, 1390, 311, 23104, 603, 13, 2650, 656, 584, 3137, 311, 1077, 323, 1520, 1077, 311, 1518, 1148, 1364, 374, 3815, 311, 603, 11, 5423, 856, 13219, 5380, 10445, 374, 856, 51166, 779, 3152, 5380, 7927, 3450, 2643, 41972, 304, 264, 2204, 4676, 1405, 1070, 1051, 10708, 369, 2883, 323, 7640, 1314, 4994, 1077, 6134, 11, 477, 1364, 2643, 387, 1093, 856, 39284, 323, 2733, 264, 1205, 430, 649, 2646, 387, 2322, 1578, 304, 420, 2324, 13, 1472, 323, 701, 13219, 649, 1193, 656, 779, 1790, 369, 1077, 11, 499, 649, 956, 387, 1077, 4395, 13, 328, 285, 1253, 1120, 617, 311, 2653, 268, 1077, 4851, 264, 2697, 2766, 323, 1456, 539, 1935, 1521, 12518, 311, 4851, 11, 1364, 30675, 311, 617, 1077, 1866, 3966, 2322, 439, 1664, 627, 7560, 61140, 701, 53415, 311, 1935, 810, 892, 369, 11937, 11, 387, 1070, 311, 9020, 11, 323, 5387, 279, 6134, 1825, 369, 264, 21976, 922, 10223, 3450, 596, 5496, 28904, 627, 39699, 1501, 430, 1690, 74740, 2815, 1603, 279, 1732, 814, 527, 30598, 369, 1587, 627, 2675, 656, 539, 2019, 422, 701, 21720, 374, 5986, 477, 1148, 1077, 4787, 374, 627, 2746, 3284, 22919, 6187, 10852, 1053, 19407, 1520, 682, 315, 499, 627, 2746, 1070, 374, 264, 19903, 5475, 304, 701, 3158, 477, 264, 19903, 5955, 430, 706, 66237, 4546, 1077, 1070, 13, 11871, 11, 16163, 11, 7563, 11, 96727, 690, 682, 1520, 311, 636, 1077, 264, 2697, 2753, 40666, 627, 10493, 1364, 1027, 3970, 555, 1077, 10896, 369, 3284, 46904, 5380, 2746, 1364, 649, 539, 636, 704, 2500, 93561, 430, 1436, 2586, 304, 220, 17, 477, 220, 18, 3115, 264, 2046, 1053, 1101, 1520, 13, 578, 1436, 656, 264, 2766, 315, 3838, 1816, 477, 1120, 8493, 892, 13, 1442, 682, 1364, 3966, 374, 2883, 422, 1070, 527, 904, 70153, 304, 701, 12818, 430, 330, 79064, 2503, 1, 420, 2643, 387, 2555, 430, 814, 2643, 1390, 311, 656, 3131, 304, 264, 1418, 13, 1442, 912, 2167, 2512, 374, 5995, 323, 433, 1053, 387, 2133, 369, 264, 4321, 11, 5403, 433, 2643, 387, 2523, 369, 701, 22969, 627, 10031, 2052, 38343, 128001, 128000, 31765, 4469, 4365, 8128, 279, 2926, 432, 33465, 6566, 315, 502, 5623, 4500, 449, 362, 2506, 13, 9062, 315, 43922, 4469, 596, 7620, 24400, 389, 19338, 449, 1579, 6593, 18651, 11, 1778, 439, 88143, 11967, 11217, 11, 41713, 323, 41861, 19338, 11, 64908, 19338, 11, 323, 22852, 19338, 627, 791, 220, 19, 35, 320, 31765, 4469, 12, 99584, 26166, 11050, 8, 2068, 374, 264, 502, 5623, 4500, 15660, 6197, 555, 43922, 4469, 505, 279, 18841, 315, 16261, 33155, 13, 12362, 362, 2506, 11, 584, 2274, 23669, 502, 5623, 11426, 1555, 279, 87975, 1920, 315, 20212, 11, 39975, 11, 10741, 11, 323, 312, 71856, 627, 31765, 4469, 374, 11469, 502, 11217, 1555, 5370, 23915, 449, 13018, 323, 25355, 5623, 13707, 13, 128001, 128000, 4438, 656, 358, 30174, 264, 23570, 5380, 41335, 374, 832, 315, 14025, 367, 596, 1455, 5526, 4519, 11, 323, 6276, 3932, 311, 990, 304, 2380, 15696, 11, 6847, 54906, 2785, 1990, 8554, 49454, 660, 555, 16659, 11, 9476, 11, 323, 810, 627, 12805, 3549, 11, 84922, 649, 6847, 387, 28379, 311, 1520, 4822, 17057, 2949, 701, 1866, 5429, 11, 477, 3493, 3649, 311, 79119, 994, 11821, 449, 1124, 1555, 11406, 84922, 477, 22981, 627, 1271, 30174, 264, 23570, 11, 1212, 555, 53728, 84922, 13, 389, 279, 7054, 45384, 627, 12487, 11, 15596, 279, 2564, 311, 279, 1314, 315, 279, 23570, 836, 13, 1952, 279, 6068, 1523, 5130, 11, 15596, 64808, 627, 3915, 279, 2477, 5352, 3321, 11, 955, 279, 502, 836, 315, 701, 23570, 627, 4599, 499, 2351, 682, 743, 11, 15596, 64808, 13, 128001 ]
[ -100, 50, 1108, 82, 315, 16337, 323, 47291, 2711, 1436, 387, 6755, 520, 279, 3839, 389, 3297, 220, 508, 2001, 1234, 27227, 323, 11, 369, 279, 1176, 892, 11, 2085, 1124, 2001, 439, 279, 21324, 3142, 31483, 19073, 2231, 1139, 2515, 279, 22108, 1357, 388, 331, 337, 5174, 51506, 10229, 753, 320, 44, 5987, 32, 8, 19351, 11, 902, 14610, 7056, 2695, 13992, 2391, 16166, 10034, 439, 10309, 627, 791, 3297, 220, 972, 386, 5987, 32, 19351, 5415, 430, 369, 16166, 10034, 11, 23579, 304, 4642, 1514, 477, 389, 279, 13731, 11, 439, 1664, 439, 682, 1023, 17274, 520, 264, 1847, 889, 649, 10519, 3674, 6138, 11, 527, 539, 2631, 311, 10051, 264, 7056, 13, 1789, 3428, 46570, 30619, 10034, 11, 23579, 889, 649, 10519, 264, 6138, 315, 220, 975, 7693, 477, 810, 527, 539, 2631, 311, 10051, 264, 7056, 11, 1418, 70402, 527, 2103, 2631, 311, 3504, 872, 12580, 627, 791, 19351, 574, 6004, 439, 220, 717, 12, 868, 1060, 65248, 6244, 17446, 311, 5371, 279, 25474, 11, 4726, 6522, 311, 24245, 25972, 29492, 753, 17480, 389, 3297, 220, 1114, 430, 459, 6177, 7056, 2015, 690, 1935, 2515, 3297, 220, 1682, 627, 791, 2015, 55212, 279, 41991, 369, 31974, 7935, 753, 320, 74558, 8, 3297, 220, 1032, 19351, 430, 7373, 70558, 1274, 649, 16063, 4661, 682, 864, 2320, 438, 8274, 7640, 2085, 12512, 264, 7056, 477, 10494, 3674, 6138, 11, 3582, 20157, 2997, 1418, 389, 586, 18386, 11, 4871, 8853, 323, 304, 24461, 627, 791, 9650, 41544, 27924, 11, 13051, 11, 67233, 323, 16267, 369, 1690, 11, 323, 13160, 264, 13353, 1486, 304, 279, 28522, 13, 578, 12093, 277, 12570, 449, 4987, 2748, 11, 2890, 4947, 6335, 323, 10690, 3907, 753, 6150, 315, 3142, 6401, 25028, 323, 17054, 2999, 13, 14937, 819, 622, 4317, 922, 813, 20492, 323, 19351, 9002, 1521, 502, 26006, 627, 41, 4317, 1071, 568, 10213, 34008, 449, 279, 40409, 753, 19351, 430, 70558, 1274, 656, 539, 1205, 311, 10051, 27227, 55154, 477, 704, 11, 3686, 430, 568, 374, 2103, 11920, 922, 1694, 7056, 1752, 55154, 1606, 220, 717, 12, 868, 1060, 65248, 889, 6244, 17446, 369, 40300, 389, 3297, 220, 717, 690, 539, 387, 7373, 2682, 369, 520, 3325, 2500, 2305, 627, 99635, 12908, 11, 2737, 16166, 10034, 11, 389, 279, 1023, 1450, 11, 527, 6220, 449, 279, 20157, 315, 39313, 47679, 323, 57431, 11, 568, 1071, 627, 1688, 682, 18094, 315, 279, 28522, 11, 15851, 315, 502, 8198, 323, 3495, 11, 1070, 617, 1027, 91367, 304, 7056, 13627, 29054, 13, 7570, 520, 4987, 11, 7411, 617, 11798, 279, 502, 19351, 22009, 627, 791, 7724, 3839, 2128, 9731, 311, 10051, 27227, 520, 6725, 994, 539, 4401, 11, 24862, 27144, 79663, 1676, 754, 839, 64, 1071, 13, 578, 7724, 32515, 2128, 11, 4869, 11, 1193, 38400, 27227, 994, 4737, 279, 5951, 311, 3201, 9248, 627, 791, 502, 17959, 2733, 12309, 6220, 11, 27144, 7724, 44979, 53456, 2851, 356, 37029, 25507, 1071, 11, 5423, 439, 1455, 220, 845, 12, 1114, 1060, 65248, 527, 7373, 70558, 323, 2682, 1306, 10671, 17446, 5936, 220, 777, 627, 7098, 754, 839, 64, 1071, 430, 279, 25474, 706, 14090, 40028, 1077, 6981, 5990, 627, 86332, 45084, 13305, 44979, 53456, 2851, 39315, 2009, 5028, 1149, 1071, 430, 568, 11321, 6220, 4737, 1022, 813, 7056, 1606, 568, 66614, 279, 19248, 315, 1884, 889, 1903, 279, 17959, 627, 38684, 279, 1274, 889, 617, 810, 3217, 304, 279, 6593, 2115, 1109, 358, 656, 2733, 430, 433, 374, 6220, 11, 1243, 358, 1097, 5644, 311, 27830, 430, 2476, 568, 1071, 627, 75588, 32515, 24862, 10195, 51444, 1901, 789, 258, 1071, 430, 433, 706, 1027, 264, 9320, 11, 719, 430, 304, 5369, 311, 1077, 10213, 8437, 4575, 15846, 2128, 11, 279, 5376, 304, 7649, 706, 20162, 311, 1077, 8430, 6220, 627, 16856, 323, 79176, 690, 387, 1401, 994, 3411, 8469, 311, 264, 1054, 8416, 863, 4498, 11, 622, 4317, 1071, 11, 422, 8853, 656, 539, 35381, 40300, 13, 1283, 1071, 430, 1274, 649, 323, 1288, 2103, 10051, 27227, 11, 5423, 422, 814, 2733, 810, 10882, 3815, 779, 627, 128001, -100, 2675, 527, 2728, 459, 1358, 1630, 315, 308, 5540, 11, 3350, 264, 2068, 311, 1505, 8857, 2449, 304, 459, 1358, 13, 362, 8857, 2449, 374, 459, 2449, 430, 8111, 810, 1109, 308, 14, 17, 3115, 11, 779, 1070, 374, 520, 1455, 832, 1778, 2449, 13, 63297, 430, 1358, 374, 2536, 40533, 323, 8857, 2449, 2744, 6866, 304, 279, 1358, 13, 7181, 25, 1115, 374, 459, 9250, 3575, 311, 4048, 5370, 20414, 627, 29673, 311, 636, 1664, 6319, 2262, 389, 828, 6070, 323, 26249, 11, 5780, 6975, 11, 1887, 2955, 11, 1665, 11744, 67, 15840, 323, 7033, 13, 128001, -100, 3261, 94680, 311, 3230, 36249, 477, 3813, 304, 198, 644, 25213, 11, 264, 94680, 11, 477, 5042, 264, 2723, 11, 374, 264, 5905, 311, 828, 430, 279, 6742, 649, 6089, 1833, 3060, 555, 18965, 11, 53728, 11, 477, 69707, 13, 362, 94680, 3585, 13, 6074, 287, 311, 22521, 477, 29631, 12922, 25218, 11612, 82, 26, 3566, 7902, 555, 20061, 279, 5665, 2686, 304, 279, 2262, 315, 279, 2246, 323, 1243, 19301, 279, 4324, 26496, 505, 36106, 4390, 14099, 287, 264, 94680, 1139, 264, 1052, 6276, 3885, 311, 2033, 29218, 279, 2723, 323, 9651, 1817, 704, 264, 5000, 2816, 11, 2246, 11, 477, 1023, 2038, 13, 17539, 287, 264, 94680, 328, 8905, 5210, 9506, 11, 1314, 4299, 304, 2246, 58523, 1304, 1495, 8294, 304, 5130, 30, 6425, 26, 2650, 2057, 14903, 29485, 7730, 989, 763, 5210, 9506, 49107, 26, 328, 8905, 2650, 649, 1005, 198, 4438, 311, 1893, 31301, 17508, 16259, 304, 264, 55662, 2217, 3489, 6347, 198, 4438, 656, 358, 1893, 264, 94680, 311, 1825, 264, 2246, 29966, 13, 994, 499, 1893, 13072, 9477, 11, 499, 2643, 1390, 311, 2997, 264, 94680, 311, 264, 3566, 2199, 1405, 13016, 649, 733, 311, 636, 810, 2038, 389, 264, 3917, 13, 16632, 20061, 279, 2576, 315, 11, 15960, 682, 11, 832, 315, 856, 18105, 374, 4560, 311, 2723, 311, 9477, 389, 264, 4009, 6678, 13, 279, 2723, 374, 2555, 1093, 25, 26033, 3696, 344, 327, 18854, 59, 18135, 87, 59, 2465, 1178, 5349, 24595, 4869, 994, 568, 28849, 433, 4390, 4438, 649, 358, 1893, 264, 2723, 311, 264, 18559, 2246, 1684, 477, 13, 1268, 656, 602, 1304, 264, 1052, 1129, 94680, 430, 4375, 304, 2225, 30958, 323, 279, 1052, 61996, 7902, 527, 264, 8695, 3813, 389, 701, 17963, 323, 433, 690, 1893, 264, 1052, 430, 74157, 439, 11, 220, 1682, 14, 2371, 14, 679, 20, 5591, 5927, 14260, 856, 10565, 6067, 374, 25, 11276, 220, 22, 1701, 1008, 15784, 1645, 76201, 463, 38690, 602, 617, 3549, 264, 1217, 8641, 304, 10030, 3492, 220, 679, 18, 902, 5727, 17508, 16259, 311, 1023, 9477, 36434, 128001, -100, 5159, 13219, 323, 358, 527, 74740, 369, 1057, 220, 5925, 11160, 13, 2362, 3450, 13, 3092, 13219, 374, 10671, 5986, 505, 279, 8631, 13, 3092, 3450, 6439, 63891, 315, 856, 13219, 323, 10177, 13, 3092, 13219, 649, 956, 733, 50007, 1524, 422, 1364, 596, 1027, 63891, 682, 1938, 1174, 2085, 22969, 5605, 330, 8161, 956, 10894, 922, 757, 11, 433, 596, 779, 40666, 1523, 1618, 3343, 3277, 358, 2586, 927, 311, 4034, 3892, 3115, 264, 2046, 11, 439, 358, 1097, 9564, 369, 2162, 11, 1364, 6835, 757, 279, 1890, 330, 12490, 989, 1, 8982, 13, 3005, 41716, 311, 733, 311, 904, 10195, 4219, 323, 387, 449, 1884, 315, 1077, 4325, 13, 1226, 1440, 1364, 3250, 956, 1390, 311, 23104, 603, 13, 2650, 656, 584, 3137, 311, 1077, 323, 1520, 1077, 311, 1518, 1148, 1364, 374, 3815, 311, 603, 11, 5423, 856, 13219, 5380, 10445, 374, 856, 51166, 779, 3152, 5380, 7927, 3450, 2643, 41972, 304, 264, 2204, 4676, 1405, 1070, 1051, 10708, 369, 2883, 323, 7640, 1314, 4994, 1077, 6134, 11, 477, 1364, 2643, 387, 1093, 856, 39284, 323, 2733, 264, 1205, 430, 649, 2646, 387, 2322, 1578, 304, 420, 2324, 13, 1472, 323, 701, 13219, 649, 1193, 656, 779, 1790, 369, 1077, 11, 499, 649, 956, 387, 1077, 4395, 13, 328, 285, 1253, 1120, 617, 311, 2653, 268, 1077, 4851, 264, 2697, 2766, 323, 1456, 539, 1935, 1521, 12518, 311, 4851, 11, 1364, 30675, 311, 617, 1077, 1866, 3966, 2322, 439, 1664, 627, 7560, 61140, 701, 53415, 311, 1935, 810, 892, 369, 11937, 11, 387, 1070, 311, 9020, 11, 323, 5387, 279, 6134, 1825, 369, 264, 21976, 922, 10223, 3450, 596, 5496, 28904, 627, 39699, 1501, 430, 1690, 74740, 2815, 1603, 279, 1732, 814, 527, 30598, 369, 1587, 627, 2675, 656, 539, 2019, 422, 701, 21720, 374, 5986, 477, 1148, 1077, 4787, 374, 627, 2746, 3284, 22919, 6187, 10852, 1053, 19407, 1520, 682, 315, 499, 627, 2746, 1070, 374, 264, 19903, 5475, 304, 701, 3158, 477, 264, 19903, 5955, 430, 706, 66237, 4546, 1077, 1070, 13, 11871, 11, 16163, 11, 7563, 11, 96727, 690, 682, 1520, 311, 636, 1077, 264, 2697, 2753, 40666, 627, 10493, 1364, 1027, 3970, 555, 1077, 10896, 369, 3284, 46904, 5380, 2746, 1364, 649, 539, 636, 704, 2500, 93561, 430, 1436, 2586, 304, 220, 17, 477, 220, 18, 3115, 264, 2046, 1053, 1101, 1520, 13, 578, 1436, 656, 264, 2766, 315, 3838, 1816, 477, 1120, 8493, 892, 13, 1442, 682, 1364, 3966, 374, 2883, 422, 1070, 527, 904, 70153, 304, 701, 12818, 430, 330, 79064, 2503, 1, 420, 2643, 387, 2555, 430, 814, 2643, 1390, 311, 656, 3131, 304, 264, 1418, 13, 1442, 912, 2167, 2512, 374, 5995, 323, 433, 1053, 387, 2133, 369, 264, 4321, 11, 5403, 433, 2643, 387, 2523, 369, 701, 22969, 627, 10031, 2052, 38343, 128001, -100, 31765, 4469, 4365, 8128, 279, 2926, 432, 33465, 6566, 315, 502, 5623, 4500, 449, 362, 2506, 13, 9062, 315, 43922, 4469, 596, 7620, 24400, 389, 19338, 449, 1579, 6593, 18651, 11, 1778, 439, 88143, 11967, 11217, 11, 41713, 323, 41861, 19338, 11, 64908, 19338, 11, 323, 22852, 19338, 627, 791, 220, 19, 35, 320, 31765, 4469, 12, 99584, 26166, 11050, 8, 2068, 374, 264, 502, 5623, 4500, 15660, 6197, 555, 43922, 4469, 505, 279, 18841, 315, 16261, 33155, 13, 12362, 362, 2506, 11, 584, 2274, 23669, 502, 5623, 11426, 1555, 279, 87975, 1920, 315, 20212, 11, 39975, 11, 10741, 11, 323, 312, 71856, 627, 31765, 4469, 374, 11469, 502, 11217, 1555, 5370, 23915, 449, 13018, 323, 25355, 5623, 13707, 13, 128001, -100, 4438, 656, 358, 30174, 264, 23570, 5380, 41335, 374, 832, 315, 14025, 367, 596, 1455, 5526, 4519, 11, 323, 6276, 3932, 311, 990, 304, 2380, 15696, 11, 6847, 54906, 2785, 1990, 8554, 49454, 660, 555, 16659, 11, 9476, 11, 323, 810, 627, 12805, 3549, 11, 84922, 649, 6847, 387, 28379, 311, 1520, 4822, 17057, 2949, 701, 1866, 5429, 11, 477, 3493, 3649, 311, 79119, 994, 11821, 449, 1124, 1555, 11406, 84922, 477, 22981, 627, 1271, 30174, 264, 23570, 11, 1212, 555, 53728, 84922, 13, 389, 279, 7054, 45384, 627, 12487, 11, 15596, 279, 2564, 311, 279, 1314, 315, 279, 23570, 836, 13, 1952, 279, 6068, 1523, 5130, 11, 15596, 64808, 627, 3915, 279, 2477, 5352, 3321, 11, 955, 279, 502, 836, 315, 701, 23570, 627, 4599, 499, 2351, 682, 743, 11, 15596, 64808, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135 ]
[ 128000, 44, 31367, 469, 77454, 41226, 13016, 4430, 872, 33489, 9650, 11, 2523, 10631, 323, 3224, 98969, 11, 2737, 264, 5016, 712, 62301, 1203, 19307, 261, 11, 264, 36581, 73418, 32981, 323, 264, 10280, 12829, 3339, 19179, 5155, 627, 37, 34002, 55820, 25, 426, 869, 483, 6984, 33234, 29158, 11, 735, 48726, 76319, 323, 10280, 25353, 25274, 198, 9241, 753, 3092, 662, 662, 662, 18072, 5159, 3070, 2231, 264, 3009, 311, 279, 7446, 83750, 10214, 19614, 369, 48432, 729, 11, 23087, 2396, 11, 45526, 11, 5099, 2637, 555, 28672, 872, 12688, 51682, 4108, 304, 1403, 30077, 18381, 430, 15020, 389, 279, 4871, 315, 1057, 4156, 14321, 33044, 6134, 627, 4235, 40052, 6952, 3258, 198, 33, 18981, 2630, 11, 31461, 198, 33, 869, 483, 6984, 33234, 29158, 198, 8140, 25675, 8158, 1511, 311, 7831, 1606, 279, 36952, 1511, 1124, 439, 1203, 19307, 388, 682, 12688, 26, 555, 10683, 11, 1884, 49685, 82, 1053, 617, 264, 44870, 1160, 13, 2030, 584, 5616, 29056, 279, 3575, 0, 1226, 11021, 459, 2362, 8761, 1355, 49642, 287, 15998, 505, 279, 3363, 8761, 9476, 369, 400, 20, 13, 410, 11, 65330, 459, 8223, 21117, 220, 19, 555, 220, 21, 2380, 7693, 1139, 279, 5015, 11, 323, 43578, 279, 15998, 927, 430, 49685, 13, 578, 15998, 1587, 1778, 264, 1695, 2683, 315, 59644, 4504, 433, 8696, 430, 1057, 36952, 5387, 279, 25675, 8158, 7636, 627, 4235, 42, 19682, 18798, 354, 4657, 198, 47, 1216, 783, 11, 15745, 198, 52141, 30990, 198, 3947, 753, 4400, 439, 35711, 439, 38072, 264, 1515, 304, 701, 45115, 1193, 311, 7142, 430, 499, 4018, 433, 1120, 264, 64906, 2288, 1317, 369, 279, 4027, 2054, 13, 2030, 499, 649, 5766, 420, 79434, 2908, 555, 13353, 701, 8957, 1355, 675, 3703, 1139, 264, 49080, 13, 29524, 9396, 279, 3703, 315, 701, 5602, 304, 701, 320, 88172, 8, 4027, 2054, 477, 1005, 264, 17401, 6767, 311, 1505, 279, 3160, 499, 1205, 701, 18929, 311, 387, 11, 323, 1243, 1906, 430, 19179, 389, 2225, 11314, 315, 701, 27271, 675, 3703, 449, 264, 6612, 2442, 6586, 15690, 11381, 13, 1115, 1648, 11, 499, 4805, 617, 459, 13687, 8641, 1475, 892, 499, 4018, 4027, 6798, 627, 4235, 3511, 894, 58274, 198, 44903, 24181, 72, 10951, 11, 426, 13, 356, 2637, 7008, 198, 50742, 29532, 16958, 287, 15895, 198, 40, 4070, 1766, 430, 279, 1888, 5954, 287, 5707, 369, 421, 295, 33610, 374, 264, 21655, 315, 6273, 5596, 3177, 25107, 5707, 323, 597, 6398, 1994, 13, 1102, 4375, 439, 1664, 439, 11, 477, 2731, 1109, 11, 279, 8518, 54494, 1821, 11, 323, 433, 753, 264, 4459, 2763, 23917, 4999, 4235, 75696, 473, 867, 265, 4798, 198, 26694, 370, 11, 23195, 198, 36314, 3713, 1102, 3216, 198, 4599, 42295, 264, 6462, 449, 24428, 925, 11, 1456, 41369, 6147, 279, 23125, 1176, 13, 578, 925, 690, 30000, 11, 323, 499, 4805, 10160, 709, 449, 264, 29585, 11, 10508, 6462, 627, 4235, 47696, 11044, 9777, 3817, 198, 64248, 47930, 11, 7188, 198, 4599, 1472, 11406, 304, 264, 17019, 65, 9802, 11, 46952, 426, 35395, 4999, 29923, 12625, 304, 459, 3158, 449, 11276, 11, 1418, 2103, 3794, 11510, 315, 5933, 3177, 30, 9220, 13931, 315, 24529, 15411, 12466, 24066, 3769, 4235, 4291, 24529, 11314, 3871, 4235, 14724, 656, 279, 2683, 662, 662, 662, 323, 1524, 3493, 264, 2697, 49117, 4999, 4235, 98056, 359, 198, 72772, 11, 6652, 198, 42, 48726, 76319, 198, 32, 2478, 55972, 82, 315, 22408, 45597, 65, 4018, 709, 323, 66185, 304, 264, 1028, 587, 48726, 2539, 315, 3090, 690, 81045, 42819, 34751, 779, 814, 649, 387, 46001, 2788, 3201, 6847, 627, 4235, 2059, 404, 3258, 426, 1171, 363, 198, 17519, 72951, 11, 14972, 198, 19999, 304, 19898, 198, 1687, 4070, 1766, 264, 3428, 41238, 1648, 311, 4430, 3754, 315, 1057, 2911, 753, 16627, 4500, 449, 872, 1317, 74908, 56435, 13, 1226, 3350, 682, 1057, 12197, 2162, 389, 279, 28678, 315, 279, 61095, 529, 2978, 16064, 13, 2876, 1193, 1587, 420, 1501, 4235, 1962, 1120, 3371, 4235, 414, 2911, 279, 907, 315, 34978, 11, 719, 433, 1101, 37167, 1124, 311, 656, 872, 1888, 449, 872, 2978, 1816, 13, 2435, 1440, 872, 56435, 690, 21635, 1521, 23691, 11, 7177, 11, 323, 4375, 315, 1989, 1524, 810, 15499, 1109, 872, 13639, 656, 4999, 4235, 33488, 42378, 51214, 198, 81686, 64853, 11, 37105, 198, 32, 93743, 69478, 198, 4054, 315, 279, 2697, 90034, 315, 10280, 12829, 3339, 374, 4560, 311, 6767, 26828, 477, 22337, 52090, 4235, 275, 753, 4661, 12266, 311, 636, 1475, 6068, 315, 279, 80566, 1216, 6392, 704, 315, 279, 30090, 10747, 13, 358, 4070, 1766, 430, 422, 358, 6767, 856, 5707, 1176, 323, 1243, 6767, 856, 10437, 804, 304, 279, 1890, 41480, 1354, 291, 10747, 11, 433, 4805, 15332, 1314, 704, 13, 1442, 912, 5707, 374, 2663, 369, 304, 279, 11363, 11, 358, 1120, 63471, 279, 10747, 34504, 449, 14432, 477, 19205, 75314, 627, 4235, 65217, 664, 689, 69235, 198, 34, 661, 11, 4892, 13030, 627, 4071, 466, 14968, 662, 662, 16853, 31887, 315, 21939, 3201, 279, 5684, 79194, 505, 34240, 315, 14432, 477, 19205, 75314, 11, 358, 11816, 1124, 709, 4235, 65, 6339, 88, 3185, 304, 87023, 9396, 1124, 304, 279, 50685, 304, 264, 12466, 9145, 13, 2435, 3207, 4832, 369, 2886, 4522, 19692, 64883, 323, 55404, 258, 259, 1354, 4999, 4235, 26354, 17872, 64774, 198, 96088, 11, 507, 13, 128001, 128000, 3923, 8886, 1322, 8385, 51003, 5380, 1360, 8385, 51003, 527, 20043, 12019, 323, 5496, 24032, 430, 3073, 2949, 701, 60071, 1887, 13, 2435, 1304, 2771, 701, 23152, 374, 9498, 11, 555, 40599, 28856, 24032, 13, 18766, 8198, 13919, 1521, 24032, 3493, 3892, 7720, 369, 279, 3823, 2547, 627, 782, 8385, 51003, 3073, 18182, 304, 96080, 15657, 11, 1778, 439, 55575, 11, 369, 3187, 13, 1472, 649, 1524, 1505, 1124, 304, 279, 1376, 315, 33690, 13, 54943, 4284, 7999, 810, 3650, 83300, 311, 701, 10173, 11, 311, 1520, 449, 60071, 5435, 627, 10378, 4510, 279, 1888, 1648, 311, 20891, 35201, 2949, 279, 22852, 1887, 374, 555, 6892, 60955, 3738, 2307, 1964, 1302, 323, 2307, 96420, 11, 4737, 3650, 83300, 323, 89948, 15657, 11, 77391, 21503, 3691, 14675, 555, 12459, 10748, 17808, 7257, 2922, 2299, 15657, 11, 323, 3339, 8475, 9498, 19433, 18637, 2029, 2001, 6941, 80652, 198, 8586, 527, 1120, 1063, 315, 279, 7720, 430, 1322, 8385, 51003, 3493, 627, 29815, 389, 701, 10173, 11, 19433, 11, 323, 5370, 1023, 9547, 11, 28856, 24032, 649, 14297, 1977, 709, 304, 701, 60071, 1887, 927, 892, 11, 323, 617, 264, 8389, 5536, 389, 701, 2890, 13, 578, 5435, 430, 28856, 24032, 649, 5353, 2997, 26, 33048, 11, 58742, 10723, 2890, 4819, 5099, 627, 97213, 24032, 1778, 439, 3650, 83300, 649, 8335, 704, 279, 1977, 709, 315, 28856, 24032, 11, 459, 8108, 279, 6372, 315, 2890, 4819, 814, 1162, 627, 12978, 19409, 612, 39168, 7923, 1138, 41033, 198, 17555, 581, 83300, 617, 1027, 3967, 311, 5353, 69393, 26, 420, 374, 1606, 814, 7958, 279, 8335, 315, 24032, 304, 701, 18340, 13, 1322, 8385, 51003, 649, 1520, 311, 5663, 420, 13, 8483, 13533, 430, 4737, 12776, 45739, 1233, 1436, 1520, 8108, 69393, 9057, 555, 35208, 46850, 11, 555, 709, 311, 220, 2983, 14697, 7089, 3495, 706, 8208, 439, 3117, 439, 311, 4284, 430, 35208, 3650, 83300, 649, 4018, 1523, 279, 8250, 315, 50600, 69393, 11, 555, 439, 1790, 439, 220, 914, 4207, 627, 1360, 8385, 51003, 649, 5471, 701, 92234, 505, 70275, 53808, 8834, 11, 779, 430, 279, 8834, 374, 506, 4523, 291, 505, 279, 2547, 4856, 1109, 9967, 13, 1322, 8385, 51003, 1253, 1101, 2187, 499, 311, 2733, 439, 422, 701, 23152, 374, 2539, 2731, 1109, 1023, 11, 2753, 9498, 15657, 656, 627, 51928, 701, 2547, 91111, 62186, 11, 433, 10756, 1124, 304, 8834, 11, 902, 374, 3249, 57525, 323, 3650, 83300, 527, 19092, 10094, 369, 4785, 4814, 2029, 1389, 85252, 18024, 388, 11, 24577, 11, 3229, 11, 23597, 11, 2626, 22803, 11, 323, 2890, 29003, 627, 28528, 5039, 430, 3650, 83300, 649, 1520, 499, 9229, 4785, 220, 1135, 4, 10819, 1109, 499, 1053, 6062, 627, 37, 9242, 430, 527, 5234, 304, 1322, 8385, 51003, 198, 2688, 1193, 1193, 374, 55575, 1579, 304, 3650, 83300, 11, 719, 433, 753, 1101, 12309, 6220, 369, 51644, 974, 72729, 519, 1274, 311, 8343, 11, 1606, 279, 3650, 62114, 24032, 1464, 51644, 974, 1523, 1139, 326, 24045, 13935, 13, 2893, 8010, 11, 4869, 11, 15590, 55575, 1253, 6782, 1633, 2697, 3650, 62114, 11, 422, 904, 520, 682, 13, 7648, 315, 279, 24032, 5334, 7108, 2391, 8863, 11, 430, 374, 3249, 1455, 11909, 7079, 7878, 55575, 4619, 627, 2028, 96080, 7172, 374, 1903, 1701, 2004, 92736, 41936, 323, 71932, 529, 14403, 11, 433, 44853, 505, 279, 4892, 14751, 1791, 4881, 11, 323, 374, 2103, 5526, 304, 24024, 4606, 13, 4427, 2019, 2004, 92736, 374, 3604, 264, 2731, 2592, 315, 1695, 24032, 1109, 1524, 55575, 11, 1606, 433, 5727, 810, 17226, 627, 114366, 17172, 969, 332, 374, 74873, 430, 706, 1027, 96080, 927, 892, 1701, 326, 24045, 13935, 11, 433, 753, 6118, 1511, 439, 264, 3185, 369, 13339, 3196, 26863, 11, 323, 1766, 304, 19724, 13, 328, 4202, 74, 969, 332, 374, 1579, 304, 3650, 83300, 11, 719, 433, 753, 1101, 1579, 304, 24722, 323, 46192, 627, 791, 7252, 1322, 8385, 14546, 92410, 1952, 578, 8152, 198, 2746, 499, 3207, 3411, 311, 3041, 701, 3650, 62114, 23730, 264, 7916, 11, 1456, 220, 19, 82095, 753, 22822, 1457, 13, 128001, 128000, 29923, 311, 1518, 279, 356, 710, 783, 5703, 320, 438, 1063, 315, 1202, 4885, 8, 304, 5703, 30, 1115, 2199, 7902, 311, 264, 2478, 2678, 68353, 902, 1501, 1148, 649, 387, 2884, 449, 3566, 6732, 11, 23711, 34080, 323, 320, 258, 7634, 8, 15533, 18, 627, 791, 68353, 690, 5353, 701, 7074, 311, 4232, 5066, 34080, 902, 279, 433, 690, 1005, 311, 3113, 279, 2199, 13, 1102, 753, 682, 1633, 18300, 311, 279, 1217, 482, 499, 1288, 1518, 1495, 5101, 304, 264, 1633, 2204, 3381, 311, 1148, 499, 1053, 2586, 311, 1755, 505, 9492, 1495, 13, 20474, 430, 279, 1193, 5448, 527, 5128, 14224, 7397, 477, 5448, 13, 2052, 279, 2800, 374, 9492, 323, 15533, 627, 12379, 389, 1063, 315, 279, 6959, 374, 4529, 505, 27685, 13, 128001 ]
[ -100, 44, 31367, 469, 77454, 41226, 13016, 4430, 872, 33489, 9650, 11, 2523, 10631, 323, 3224, 98969, 11, 2737, 264, 5016, 712, 62301, 1203, 19307, 261, 11, 264, 36581, 73418, 32981, 323, 264, 10280, 12829, 3339, 19179, 5155, 627, 37, 34002, 55820, 25, 426, 869, 483, 6984, 33234, 29158, 11, 735, 48726, 76319, 323, 10280, 25353, 25274, 198, 9241, 753, 3092, 662, 662, 662, 18072, 5159, 3070, 2231, 264, 3009, 311, 279, 7446, 83750, 10214, 19614, 369, 48432, 729, 11, 23087, 2396, 11, 45526, 11, 5099, 2637, 555, 28672, 872, 12688, 51682, 4108, 304, 1403, 30077, 18381, 430, 15020, 389, 279, 4871, 315, 1057, 4156, 14321, 33044, 6134, 627, 4235, 40052, 6952, 3258, 198, 33, 18981, 2630, 11, 31461, 198, 33, 869, 483, 6984, 33234, 29158, 198, 8140, 25675, 8158, 1511, 311, 7831, 1606, 279, 36952, 1511, 1124, 439, 1203, 19307, 388, 682, 12688, 26, 555, 10683, 11, 1884, 49685, 82, 1053, 617, 264, 44870, 1160, 13, 2030, 584, 5616, 29056, 279, 3575, 0, 1226, 11021, 459, 2362, 8761, 1355, 49642, 287, 15998, 505, 279, 3363, 8761, 9476, 369, 400, 20, 13, 410, 11, 65330, 459, 8223, 21117, 220, 19, 555, 220, 21, 2380, 7693, 1139, 279, 5015, 11, 323, 43578, 279, 15998, 927, 430, 49685, 13, 578, 15998, 1587, 1778, 264, 1695, 2683, 315, 59644, 4504, 433, 8696, 430, 1057, 36952, 5387, 279, 25675, 8158, 7636, 627, 4235, 42, 19682, 18798, 354, 4657, 198, 47, 1216, 783, 11, 15745, 198, 52141, 30990, 198, 3947, 753, 4400, 439, 35711, 439, 38072, 264, 1515, 304, 701, 45115, 1193, 311, 7142, 430, 499, 4018, 433, 1120, 264, 64906, 2288, 1317, 369, 279, 4027, 2054, 13, 2030, 499, 649, 5766, 420, 79434, 2908, 555, 13353, 701, 8957, 1355, 675, 3703, 1139, 264, 49080, 13, 29524, 9396, 279, 3703, 315, 701, 5602, 304, 701, 320, 88172, 8, 4027, 2054, 477, 1005, 264, 17401, 6767, 311, 1505, 279, 3160, 499, 1205, 701, 18929, 311, 387, 11, 323, 1243, 1906, 430, 19179, 389, 2225, 11314, 315, 701, 27271, 675, 3703, 449, 264, 6612, 2442, 6586, 15690, 11381, 13, 1115, 1648, 11, 499, 4805, 617, 459, 13687, 8641, 1475, 892, 499, 4018, 4027, 6798, 627, 4235, 3511, 894, 58274, 198, 44903, 24181, 72, 10951, 11, 426, 13, 356, 2637, 7008, 198, 50742, 29532, 16958, 287, 15895, 198, 40, 4070, 1766, 430, 279, 1888, 5954, 287, 5707, 369, 421, 295, 33610, 374, 264, 21655, 315, 6273, 5596, 3177, 25107, 5707, 323, 597, 6398, 1994, 13, 1102, 4375, 439, 1664, 439, 11, 477, 2731, 1109, 11, 279, 8518, 54494, 1821, 11, 323, 433, 753, 264, 4459, 2763, 23917, 4999, 4235, 75696, 473, 867, 265, 4798, 198, 26694, 370, 11, 23195, 198, 36314, 3713, 1102, 3216, 198, 4599, 42295, 264, 6462, 449, 24428, 925, 11, 1456, 41369, 6147, 279, 23125, 1176, 13, 578, 925, 690, 30000, 11, 323, 499, 4805, 10160, 709, 449, 264, 29585, 11, 10508, 6462, 627, 4235, 47696, 11044, 9777, 3817, 198, 64248, 47930, 11, 7188, 198, 4599, 1472, 11406, 304, 264, 17019, 65, 9802, 11, 46952, 426, 35395, 4999, 29923, 12625, 304, 459, 3158, 449, 11276, 11, 1418, 2103, 3794, 11510, 315, 5933, 3177, 30, 9220, 13931, 315, 24529, 15411, 12466, 24066, 3769, 4235, 4291, 24529, 11314, 3871, 4235, 14724, 656, 279, 2683, 662, 662, 662, 323, 1524, 3493, 264, 2697, 49117, 4999, 4235, 98056, 359, 198, 72772, 11, 6652, 198, 42, 48726, 76319, 198, 32, 2478, 55972, 82, 315, 22408, 45597, 65, 4018, 709, 323, 66185, 304, 264, 1028, 587, 48726, 2539, 315, 3090, 690, 81045, 42819, 34751, 779, 814, 649, 387, 46001, 2788, 3201, 6847, 627, 4235, 2059, 404, 3258, 426, 1171, 363, 198, 17519, 72951, 11, 14972, 198, 19999, 304, 19898, 198, 1687, 4070, 1766, 264, 3428, 41238, 1648, 311, 4430, 3754, 315, 1057, 2911, 753, 16627, 4500, 449, 872, 1317, 74908, 56435, 13, 1226, 3350, 682, 1057, 12197, 2162, 389, 279, 28678, 315, 279, 61095, 529, 2978, 16064, 13, 2876, 1193, 1587, 420, 1501, 4235, 1962, 1120, 3371, 4235, 414, 2911, 279, 907, 315, 34978, 11, 719, 433, 1101, 37167, 1124, 311, 656, 872, 1888, 449, 872, 2978, 1816, 13, 2435, 1440, 872, 56435, 690, 21635, 1521, 23691, 11, 7177, 11, 323, 4375, 315, 1989, 1524, 810, 15499, 1109, 872, 13639, 656, 4999, 4235, 33488, 42378, 51214, 198, 81686, 64853, 11, 37105, 198, 32, 93743, 69478, 198, 4054, 315, 279, 2697, 90034, 315, 10280, 12829, 3339, 374, 4560, 311, 6767, 26828, 477, 22337, 52090, 4235, 275, 753, 4661, 12266, 311, 636, 1475, 6068, 315, 279, 80566, 1216, 6392, 704, 315, 279, 30090, 10747, 13, 358, 4070, 1766, 430, 422, 358, 6767, 856, 5707, 1176, 323, 1243, 6767, 856, 10437, 804, 304, 279, 1890, 41480, 1354, 291, 10747, 11, 433, 4805, 15332, 1314, 704, 13, 1442, 912, 5707, 374, 2663, 369, 304, 279, 11363, 11, 358, 1120, 63471, 279, 10747, 34504, 449, 14432, 477, 19205, 75314, 627, 4235, 65217, 664, 689, 69235, 198, 34, 661, 11, 4892, 13030, 627, 4071, 466, 14968, 662, 662, 16853, 31887, 315, 21939, 3201, 279, 5684, 79194, 505, 34240, 315, 14432, 477, 19205, 75314, 11, 358, 11816, 1124, 709, 4235, 65, 6339, 88, 3185, 304, 87023, 9396, 1124, 304, 279, 50685, 304, 264, 12466, 9145, 13, 2435, 3207, 4832, 369, 2886, 4522, 19692, 64883, 323, 55404, 258, 259, 1354, 4999, 4235, 26354, 17872, 64774, 198, 96088, 11, 507, 13, 128001, -100, 3923, 8886, 1322, 8385, 51003, 5380, 1360, 8385, 51003, 527, 20043, 12019, 323, 5496, 24032, 430, 3073, 2949, 701, 60071, 1887, 13, 2435, 1304, 2771, 701, 23152, 374, 9498, 11, 555, 40599, 28856, 24032, 13, 18766, 8198, 13919, 1521, 24032, 3493, 3892, 7720, 369, 279, 3823, 2547, 627, 782, 8385, 51003, 3073, 18182, 304, 96080, 15657, 11, 1778, 439, 55575, 11, 369, 3187, 13, 1472, 649, 1524, 1505, 1124, 304, 279, 1376, 315, 33690, 13, 54943, 4284, 7999, 810, 3650, 83300, 311, 701, 10173, 11, 311, 1520, 449, 60071, 5435, 627, 10378, 4510, 279, 1888, 1648, 311, 20891, 35201, 2949, 279, 22852, 1887, 374, 555, 6892, 60955, 3738, 2307, 1964, 1302, 323, 2307, 96420, 11, 4737, 3650, 83300, 323, 89948, 15657, 11, 77391, 21503, 3691, 14675, 555, 12459, 10748, 17808, 7257, 2922, 2299, 15657, 11, 323, 3339, 8475, 9498, 19433, 18637, 2029, 2001, 6941, 80652, 198, 8586, 527, 1120, 1063, 315, 279, 7720, 430, 1322, 8385, 51003, 3493, 627, 29815, 389, 701, 10173, 11, 19433, 11, 323, 5370, 1023, 9547, 11, 28856, 24032, 649, 14297, 1977, 709, 304, 701, 60071, 1887, 927, 892, 11, 323, 617, 264, 8389, 5536, 389, 701, 2890, 13, 578, 5435, 430, 28856, 24032, 649, 5353, 2997, 26, 33048, 11, 58742, 10723, 2890, 4819, 5099, 627, 97213, 24032, 1778, 439, 3650, 83300, 649, 8335, 704, 279, 1977, 709, 315, 28856, 24032, 11, 459, 8108, 279, 6372, 315, 2890, 4819, 814, 1162, 627, 12978, 19409, 612, 39168, 7923, 1138, 41033, 198, 17555, 581, 83300, 617, 1027, 3967, 311, 5353, 69393, 26, 420, 374, 1606, 814, 7958, 279, 8335, 315, 24032, 304, 701, 18340, 13, 1322, 8385, 51003, 649, 1520, 311, 5663, 420, 13, 8483, 13533, 430, 4737, 12776, 45739, 1233, 1436, 1520, 8108, 69393, 9057, 555, 35208, 46850, 11, 555, 709, 311, 220, 2983, 14697, 7089, 3495, 706, 8208, 439, 3117, 439, 311, 4284, 430, 35208, 3650, 83300, 649, 4018, 1523, 279, 8250, 315, 50600, 69393, 11, 555, 439, 1790, 439, 220, 914, 4207, 627, 1360, 8385, 51003, 649, 5471, 701, 92234, 505, 70275, 53808, 8834, 11, 779, 430, 279, 8834, 374, 506, 4523, 291, 505, 279, 2547, 4856, 1109, 9967, 13, 1322, 8385, 51003, 1253, 1101, 2187, 499, 311, 2733, 439, 422, 701, 23152, 374, 2539, 2731, 1109, 1023, 11, 2753, 9498, 15657, 656, 627, 51928, 701, 2547, 91111, 62186, 11, 433, 10756, 1124, 304, 8834, 11, 902, 374, 3249, 57525, 323, 3650, 83300, 527, 19092, 10094, 369, 4785, 4814, 2029, 1389, 85252, 18024, 388, 11, 24577, 11, 3229, 11, 23597, 11, 2626, 22803, 11, 323, 2890, 29003, 627, 28528, 5039, 430, 3650, 83300, 649, 1520, 499, 9229, 4785, 220, 1135, 4, 10819, 1109, 499, 1053, 6062, 627, 37, 9242, 430, 527, 5234, 304, 1322, 8385, 51003, 198, 2688, 1193, 1193, 374, 55575, 1579, 304, 3650, 83300, 11, 719, 433, 753, 1101, 12309, 6220, 369, 51644, 974, 72729, 519, 1274, 311, 8343, 11, 1606, 279, 3650, 62114, 24032, 1464, 51644, 974, 1523, 1139, 326, 24045, 13935, 13, 2893, 8010, 11, 4869, 11, 15590, 55575, 1253, 6782, 1633, 2697, 3650, 62114, 11, 422, 904, 520, 682, 13, 7648, 315, 279, 24032, 5334, 7108, 2391, 8863, 11, 430, 374, 3249, 1455, 11909, 7079, 7878, 55575, 4619, 627, 2028, 96080, 7172, 374, 1903, 1701, 2004, 92736, 41936, 323, 71932, 529, 14403, 11, 433, 44853, 505, 279, 4892, 14751, 1791, 4881, 11, 323, 374, 2103, 5526, 304, 24024, 4606, 13, 4427, 2019, 2004, 92736, 374, 3604, 264, 2731, 2592, 315, 1695, 24032, 1109, 1524, 55575, 11, 1606, 433, 5727, 810, 17226, 627, 114366, 17172, 969, 332, 374, 74873, 430, 706, 1027, 96080, 927, 892, 1701, 326, 24045, 13935, 11, 433, 753, 6118, 1511, 439, 264, 3185, 369, 13339, 3196, 26863, 11, 323, 1766, 304, 19724, 13, 328, 4202, 74, 969, 332, 374, 1579, 304, 3650, 83300, 11, 719, 433, 753, 1101, 1579, 304, 24722, 323, 46192, 627, 791, 7252, 1322, 8385, 14546, 92410, 1952, 578, 8152, 198, 2746, 499, 3207, 3411, 311, 3041, 701, 3650, 62114, 23730, 264, 7916, 11, 1456, 220, 19, 82095, 753, 22822, 1457, 13, 128001, -100, 29923, 311, 1518, 279, 356, 710, 783, 5703, 320, 438, 1063, 315, 1202, 4885, 8, 304, 5703, 30, 1115, 2199, 7902, 311, 264, 2478, 2678, 68353, 902, 1501, 1148, 649, 387, 2884, 449, 3566, 6732, 11, 23711, 34080, 323, 320, 258, 7634, 8, 15533, 18, 627, 791, 68353, 690, 5353, 701, 7074, 311, 4232, 5066, 34080, 902, 279, 433, 690, 1005, 311, 3113, 279, 2199, 13, 1102, 753, 682, 1633, 18300, 311, 279, 1217, 482, 499, 1288, 1518, 1495, 5101, 304, 264, 1633, 2204, 3381, 311, 1148, 499, 1053, 2586, 311, 1755, 505, 9492, 1495, 13, 20474, 430, 279, 1193, 5448, 527, 5128, 14224, 7397, 477, 5448, 13, 2052, 279, 2800, 374, 9492, 323, 15533, 627, 12379, 389, 1063, 315, 279, 6959, 374, 4529, 505, 27685, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128 ]
[ 128000, 14262, 311, 420, 2046, 753, 14002, 315, 279, 36082, 388, 54389, 11, 264, 4668, 430, 65880, 264, 3177, 389, 1063, 315, 279, 810, 7185, 6848, 922, 26206, 430, 1051, 4756, 927, 279, 3347, 3892, 2919, 13, 1226, 13488, 1475, 912, 564, 323, 1589, 13184, 315, 279, 8191, 311, 1505, 279, 4848, 1888, 60884, 323, 26206, 7493, 315, 279, 2046, 779, 499, 1541, 1431, 617, 311, 627, 16, 13, 4314, 11888, 6693, 26870, 1253, 387, 92326, 2785, 701, 26206, 627, 34124, 706, 872, 1866, 6693, 30597, 13, 4427, 315, 603, 636, 709, 323, 733, 369, 264, 1629, 1418, 3885, 5019, 264, 6555, 10747, 315, 11033, 323, 1373, 279, 3754, 13, 6104, 499, 2643, 1781, 701, 1866, 4443, 14348, 374, 4832, 11, 1070, 753, 264, 13336, 430, 1063, 315, 279, 2574, 499, 656, 1475, 6693, 527, 27252, 499, 505, 19261, 16557, 26206, 13, 1789, 3187, 11, 499, 1253, 539, 1935, 279, 892, 311, 2019, 24748, 311, 701, 84055, 994, 499, 4321, 3347, 1124, 1475, 6693, 13, 18056, 499, 2643, 539, 1781, 4205, 315, 433, 11, 701, 7865, 1436, 387, 5115, 1022, 12, 631, 1303, 311, 701, 84055, 889, 1253, 3719, 810, 44040, 311, 3041, 499, 264, 10695, 1450, 994, 499, 1205, 433, 13, 1628, 527, 499, 279, 3169, 315, 1732, 889, 1776, 4214, 11033, 1176, 3245, 304, 279, 6693, 30, 19241, 1501, 430, 499, 2643, 539, 1390, 311, 636, 701, 1674, 5155, 3156, 1306, 220, 24, 25, 966, 264, 749, 13, 1606, 430, 753, 994, 499, 4805, 1205, 2500, 503, 6312, 315, 4907, 13, 4497, 389, 1884, 10631, 323, 8254, 3885, 527, 927, 389, 4212, 627, 17, 13, 2650, 16558, 220, 23, 29247, 315, 3090, 264, 1938, 649, 2543, 499, 1139, 264, 26206, 32236, 627, 29353, 27474, 649, 2873, 1093, 459, 9070, 315, 1063, 315, 1057, 84055, 529, 13162, 17223, 7344, 1524, 701, 1866, 13, 2030, 264, 2763, 315, 1274, 1541, 1431, 7172, 3090, 682, 1938, 1317, 13, 2435, 4805, 3469, 369, 11033, 11, 15600, 477, 39962, 4619, 13, 1102, 10800, 704, 1070, 2643, 387, 264, 4459, 2763, 315, 24278, 304, 430, 2362, 1008, 425, 430, 10975, 603, 311, 7172, 8223, 29247, 315, 3090, 1306, 682, 13, 4740, 5403, 264, 4007, 430, 1071, 709, 10194, 701, 3090, 23730, 649, 7916, 26206, 555, 220, 975, 13689, 832, 7061, 6773, 311, 7172, 264, 8941, 315, 433, 927, 279, 3388, 315, 264, 2046, 13, 578, 842, 1121, 30, 1102, 574, 8831, 311, 4498, 33173, 11, 279, 7061, 574, 810, 4602, 1534, 2391, 279, 13658, 11, 323, 568, 574, 3025, 311, 37455, 2731, 389, 279, 3465, 520, 1450, 13, 1442, 499, 3207, 539, 264, 6908, 3090, 7172, 261, 11, 7344, 433, 753, 892, 499, 636, 95831, 13, 17737, 8351, 706, 279, 57507, 627, 18, 13, 1472, 1205, 311, 10299, 701, 2128, 753, 8631, 2731, 627, 11439, 311, 264, 3293, 10795, 11, 264, 63969, 220, 6083, 4, 315, 8420, 2019, 814, 3207, 32647, 704, 520, 990, 13, 2684, 527, 1690, 11384, 315, 420, 8631, 13, 4427, 1274, 617, 2288, 1790, 990, 389, 872, 25485, 13, 26080, 1541, 1431, 636, 3235, 449, 872, 84055, 13, 16782, 3885, 2733, 439, 3582, 814, 6996, 2683, 4868, 323, 5895, 1268, 814, 4805, 387, 3025, 311, 2343, 872, 19123, 422, 814, 636, 264, 18718, 21818, 13, 36798, 889, 527, 32647, 527, 539, 1193, 2753, 27331, 1109, 872, 810, 31467, 26081, 11, 814, 3207, 1101, 58271, 315, 3815, 872, 1888, 990, 13, 763, 2015, 369, 701, 2128, 311, 1304, 433, 311, 279, 1828, 2237, 11, 433, 374, 48696, 430, 499, 1456, 311, 8108, 279, 3392, 315, 8631, 5127, 374, 25051, 13, 6104, 499, 649, 1431, 2585, 8631, 1105, 430, 1253, 3073, 4994, 279, 5274, 11, 499, 649, 2585, 1884, 430, 82316, 505, 2949, 433, 13, 4557, 279, 3446, 389, 272, 22198, 916, 627, 19, 13, 31048, 8125, 8870, 8420, 527, 810, 27331, 627, 3947, 753, 912, 39259, 315, 2262, 389, 279, 7757, 21039, 430, 8870, 7487, 527, 810, 27331, 1109, 872, 26081, 889, 527, 9770, 311, 990, 304, 279, 5274, 1475, 1938, 13, 3296, 1541, 1431, 8870, 8420, 1120, 2503, 389, 872, 27240, 288, 304, 872, 91710, 29189, 10307, 12707, 682, 1938, 30, 2876, 279, 27331, 6305, 13, 4427, 1274, 527, 1120, 2731, 32599, 311, 3318, 39529, 13, 3011, 753, 1606, 1521, 7487, 2733, 1093, 3318, 704, 315, 279, 2162, 5274, 374, 264, 26632, 11, 779, 814, 4805, 990, 2653, 311, 1304, 2771, 814, 649, 2567, 3815, 433, 13, 3639, 753, 810, 11, 8870, 8420, 1541, 1431, 617, 311, 59263, 311, 323, 505, 990, 11, 323, 814, 3207, 6118, 3025, 311, 990, 520, 279, 3115, 430, 527, 1455, 17125, 369, 1124, 13, 17830, 11, 8870, 7487, 527, 33944, 449, 1054, 9336, 2442, 76585, 77549, 2029, 1472, 649, 1431, 46943, 520, 264, 6500, 369, 220, 605, 4207, 264, 1938, 2085, 4737, 264, 1464, 13, 578, 4545, 279, 5679, 8640, 2212, 279, 9309, 323, 6944, 311, 1514, 7963, 374, 264, 5128, 1695, 892, 311, 1935, 264, 220, 605, 24401, 1464, 13, 578, 3446, 374, 927, 389, 48381, 627, 20, 13, 31048, 3451, 566, 10981, 9467, 84, 6370, 529, 499, 1205, 311, 387, 11537, 449, 627, 791, 1176, 892, 4423, 449, 8009, 6548, 492, 5334, 29441, 369, 22866, 29247, 11, 430, 1732, 52694, 1268, 44447, 814, 4070, 1027, 9298, 279, 1917, 369, 4869, 1690, 1667, 13, 1472, 1541, 1431, 1440, 1148, 499, 3207, 7554, 704, 389, 422, 499, 3207, 539, 2771, 1148, 499, 3207, 3411, 520, 13, 763, 420, 3177, 11, 1070, 1253, 387, 264, 1396, 315, 2574, 499, 3207, 3815, 520, 990, 430, 617, 60883, 25127, 71480, 3207, 1120, 539, 3025, 311, 1518, 1124, 13, 1789, 3187, 11, 7231, 701, 84055, 40146, 7540, 374, 4461, 311, 1893, 264, 2763, 315, 22047, 323, 91642, 8631, 13, 35339, 11, 3515, 5912, 17496, 16659, 1120, 1606, 430, 753, 279, 1648, 499, 4070, 2744, 2884, 433, 2643, 387, 3815, 810, 11682, 1109, 1695, 11, 8104, 422, 814, 4070, 10213, 653, 34370, 13, 11450, 753, 7487, 527, 74537, 304, 2613, 26, 1541, 1431, 17210, 311, 430, 12248, 7389, 499, 3207, 11889, 11190, 14633, 13, 1789, 810, 11, 2010, 311, 48381, 627, 21, 13, 1472, 4805, 387, 810, 27331, 304, 701, 220, 1272, 82, 627, 644, 279, 4325, 315, 63677, 83787, 304, 5557, 11, 11909, 4028, 279, 1917, 527, 20910, 3249, 3728, 26206, 374, 357, 17157, 389, 459, 24069, 5569, 13, 2030, 433, 10800, 704, 430, 1070, 753, 520, 3325, 832, 41944, 430, 35611, 28335, 311, 6678, 26206, 25, 12108, 1065, 316, 774, 826, 13, 59250, 7784, 1431, 3686, 5115, 2771, 3249, 220, 1272, 4771, 65248, 527, 832, 315, 279, 1455, 27331, 4325, 5315, 13, 2030, 814, 4510, 433, 1253, 617, 311, 656, 449, 279, 2144, 1884, 304, 872, 220, 1272, 82, 617, 279, 1314, 8335, 315, 3217, 323, 28697, 13, 37653, 706, 279, 3446, 627, 128001, 128000, 39150, 29782, 4901, 311, 330, 7430, 535, 15212, 596, 5426, 47059, 5233, 6880, 311, 3009, 2326, 12576, 1306, 7250, 63409, 2053, 10496, 6411, 31646, 627, 791, 350, 15924, 347, 3573, 697, 86863, 909, 7351, 304, 15212, 706, 11096, 264, 4901, 8260, 311, 3009, 2326, 12576, 311, 15212, 11, 323, 311, 9299, 279, 220, 4468, 24, 9702, 6941, 9096, 38997, 449, 6921, 11, 13690, 5513, 15212, 5068, 389, 7884, 627, 8142, 279, 6160, 12, 64709, 10496, 13695, 10368, 574, 26765, 11, 279, 2326, 10717, 2875, 315, 9299, 287, 1202, 9974, 400, 16, 13, 18, 7239, 12576, 311, 15212, 627, 44653, 5513, 15212, 17637, 279, 7351, 596, 3772, 31384, 43356, 70690, 4749, 439, 5605, 279, 4901, 690, 6667, 33728, 505, 1274, 11, 323, 430, 1070, 574, 912, 67640, 369, 279, 4901, 3686, 627, 791, 330, 2822, 311, 2326, 12576, 1, 4901, 706, 2736, 20802, 220, 3101, 11, 931, 33728, 627, 34627, 706, 41867, 311, 4822, 21737, 389, 279, 63355, 304, 15212, 311, 5766, 87843, 19092, 4868, 23915, 449, 279, 33589, 6411, 627, 34627, 6944, 311, 5766, 904, 44219, 315, 1202, 4868, 23915, 449, 15212, 11, 902, 44814, 505, 279, 220, 4468, 24, 9096, 38997, 482, 279, 1176, 315, 1193, 1403, 1778, 1046, 2311, 1990, 6921, 323, 10989, 5961, 627, 128001 ]
[ -100, 14262, 311, 420, 2046, 753, 14002, 315, 279, 36082, 388, 54389, 11, 264, 4668, 430, 65880, 264, 3177, 389, 1063, 315, 279, 810, 7185, 6848, 922, 26206, 430, 1051, 4756, 927, 279, 3347, 3892, 2919, 13, 1226, 13488, 1475, 912, 564, 323, 1589, 13184, 315, 279, 8191, 311, 1505, 279, 4848, 1888, 60884, 323, 26206, 7493, 315, 279, 2046, 779, 499, 1541, 1431, 617, 311, 627, 16, 13, 4314, 11888, 6693, 26870, 1253, 387, 92326, 2785, 701, 26206, 627, 34124, 706, 872, 1866, 6693, 30597, 13, 4427, 315, 603, 636, 709, 323, 733, 369, 264, 1629, 1418, 3885, 5019, 264, 6555, 10747, 315, 11033, 323, 1373, 279, 3754, 13, 6104, 499, 2643, 1781, 701, 1866, 4443, 14348, 374, 4832, 11, 1070, 753, 264, 13336, 430, 1063, 315, 279, 2574, 499, 656, 1475, 6693, 527, 27252, 499, 505, 19261, 16557, 26206, 13, 1789, 3187, 11, 499, 1253, 539, 1935, 279, 892, 311, 2019, 24748, 311, 701, 84055, 994, 499, 4321, 3347, 1124, 1475, 6693, 13, 18056, 499, 2643, 539, 1781, 4205, 315, 433, 11, 701, 7865, 1436, 387, 5115, 1022, 12, 631, 1303, 311, 701, 84055, 889, 1253, 3719, 810, 44040, 311, 3041, 499, 264, 10695, 1450, 994, 499, 1205, 433, 13, 1628, 527, 499, 279, 3169, 315, 1732, 889, 1776, 4214, 11033, 1176, 3245, 304, 279, 6693, 30, 19241, 1501, 430, 499, 2643, 539, 1390, 311, 636, 701, 1674, 5155, 3156, 1306, 220, 24, 25, 966, 264, 749, 13, 1606, 430, 753, 994, 499, 4805, 1205, 2500, 503, 6312, 315, 4907, 13, 4497, 389, 1884, 10631, 323, 8254, 3885, 527, 927, 389, 4212, 627, 17, 13, 2650, 16558, 220, 23, 29247, 315, 3090, 264, 1938, 649, 2543, 499, 1139, 264, 26206, 32236, 627, 29353, 27474, 649, 2873, 1093, 459, 9070, 315, 1063, 315, 1057, 84055, 529, 13162, 17223, 7344, 1524, 701, 1866, 13, 2030, 264, 2763, 315, 1274, 1541, 1431, 7172, 3090, 682, 1938, 1317, 13, 2435, 4805, 3469, 369, 11033, 11, 15600, 477, 39962, 4619, 13, 1102, 10800, 704, 1070, 2643, 387, 264, 4459, 2763, 315, 24278, 304, 430, 2362, 1008, 425, 430, 10975, 603, 311, 7172, 8223, 29247, 315, 3090, 1306, 682, 13, 4740, 5403, 264, 4007, 430, 1071, 709, 10194, 701, 3090, 23730, 649, 7916, 26206, 555, 220, 975, 13689, 832, 7061, 6773, 311, 7172, 264, 8941, 315, 433, 927, 279, 3388, 315, 264, 2046, 13, 578, 842, 1121, 30, 1102, 574, 8831, 311, 4498, 33173, 11, 279, 7061, 574, 810, 4602, 1534, 2391, 279, 13658, 11, 323, 568, 574, 3025, 311, 37455, 2731, 389, 279, 3465, 520, 1450, 13, 1442, 499, 3207, 539, 264, 6908, 3090, 7172, 261, 11, 7344, 433, 753, 892, 499, 636, 95831, 13, 17737, 8351, 706, 279, 57507, 627, 18, 13, 1472, 1205, 311, 10299, 701, 2128, 753, 8631, 2731, 627, 11439, 311, 264, 3293, 10795, 11, 264, 63969, 220, 6083, 4, 315, 8420, 2019, 814, 3207, 32647, 704, 520, 990, 13, 2684, 527, 1690, 11384, 315, 420, 8631, 13, 4427, 1274, 617, 2288, 1790, 990, 389, 872, 25485, 13, 26080, 1541, 1431, 636, 3235, 449, 872, 84055, 13, 16782, 3885, 2733, 439, 3582, 814, 6996, 2683, 4868, 323, 5895, 1268, 814, 4805, 387, 3025, 311, 2343, 872, 19123, 422, 814, 636, 264, 18718, 21818, 13, 36798, 889, 527, 32647, 527, 539, 1193, 2753, 27331, 1109, 872, 810, 31467, 26081, 11, 814, 3207, 1101, 58271, 315, 3815, 872, 1888, 990, 13, 763, 2015, 369, 701, 2128, 311, 1304, 433, 311, 279, 1828, 2237, 11, 433, 374, 48696, 430, 499, 1456, 311, 8108, 279, 3392, 315, 8631, 5127, 374, 25051, 13, 6104, 499, 649, 1431, 2585, 8631, 1105, 430, 1253, 3073, 4994, 279, 5274, 11, 499, 649, 2585, 1884, 430, 82316, 505, 2949, 433, 13, 4557, 279, 3446, 389, 272, 22198, 916, 627, 19, 13, 31048, 8125, 8870, 8420, 527, 810, 27331, 627, 3947, 753, 912, 39259, 315, 2262, 389, 279, 7757, 21039, 430, 8870, 7487, 527, 810, 27331, 1109, 872, 26081, 889, 527, 9770, 311, 990, 304, 279, 5274, 1475, 1938, 13, 3296, 1541, 1431, 8870, 8420, 1120, 2503, 389, 872, 27240, 288, 304, 872, 91710, 29189, 10307, 12707, 682, 1938, 30, 2876, 279, 27331, 6305, 13, 4427, 1274, 527, 1120, 2731, 32599, 311, 3318, 39529, 13, 3011, 753, 1606, 1521, 7487, 2733, 1093, 3318, 704, 315, 279, 2162, 5274, 374, 264, 26632, 11, 779, 814, 4805, 990, 2653, 311, 1304, 2771, 814, 649, 2567, 3815, 433, 13, 3639, 753, 810, 11, 8870, 8420, 1541, 1431, 617, 311, 59263, 311, 323, 505, 990, 11, 323, 814, 3207, 6118, 3025, 311, 990, 520, 279, 3115, 430, 527, 1455, 17125, 369, 1124, 13, 17830, 11, 8870, 7487, 527, 33944, 449, 1054, 9336, 2442, 76585, 77549, 2029, 1472, 649, 1431, 46943, 520, 264, 6500, 369, 220, 605, 4207, 264, 1938, 2085, 4737, 264, 1464, 13, 578, 4545, 279, 5679, 8640, 2212, 279, 9309, 323, 6944, 311, 1514, 7963, 374, 264, 5128, 1695, 892, 311, 1935, 264, 220, 605, 24401, 1464, 13, 578, 3446, 374, 927, 389, 48381, 627, 20, 13, 31048, 3451, 566, 10981, 9467, 84, 6370, 529, 499, 1205, 311, 387, 11537, 449, 627, 791, 1176, 892, 4423, 449, 8009, 6548, 492, 5334, 29441, 369, 22866, 29247, 11, 430, 1732, 52694, 1268, 44447, 814, 4070, 1027, 9298, 279, 1917, 369, 4869, 1690, 1667, 13, 1472, 1541, 1431, 1440, 1148, 499, 3207, 7554, 704, 389, 422, 499, 3207, 539, 2771, 1148, 499, 3207, 3411, 520, 13, 763, 420, 3177, 11, 1070, 1253, 387, 264, 1396, 315, 2574, 499, 3207, 3815, 520, 990, 430, 617, 60883, 25127, 71480, 3207, 1120, 539, 3025, 311, 1518, 1124, 13, 1789, 3187, 11, 7231, 701, 84055, 40146, 7540, 374, 4461, 311, 1893, 264, 2763, 315, 22047, 323, 91642, 8631, 13, 35339, 11, 3515, 5912, 17496, 16659, 1120, 1606, 430, 753, 279, 1648, 499, 4070, 2744, 2884, 433, 2643, 387, 3815, 810, 11682, 1109, 1695, 11, 8104, 422, 814, 4070, 10213, 653, 34370, 13, 11450, 753, 7487, 527, 74537, 304, 2613, 26, 1541, 1431, 17210, 311, 430, 12248, 7389, 499, 3207, 11889, 11190, 14633, 13, 1789, 810, 11, 2010, 311, 48381, 627, 21, 13, 1472, 4805, 387, 810, 27331, 304, 701, 220, 1272, 82, 627, 644, 279, 4325, 315, 63677, 83787, 304, 5557, 11, 11909, 4028, 279, 1917, 527, 20910, 3249, 3728, 26206, 374, 357, 17157, 389, 459, 24069, 5569, 13, 2030, 433, 10800, 704, 430, 1070, 753, 520, 3325, 832, 41944, 430, 35611, 28335, 311, 6678, 26206, 25, 12108, 1065, 316, 774, 826, 13, 59250, 7784, 1431, 3686, 5115, 2771, 3249, 220, 1272, 4771, 65248, 527, 832, 315, 279, 1455, 27331, 4325, 5315, 13, 2030, 814, 4510, 433, 1253, 617, 311, 656, 449, 279, 2144, 1884, 304, 872, 220, 1272, 82, 617, 279, 1314, 8335, 315, 3217, 323, 28697, 13, 37653, 706, 279, 3446, 627, 128001, -100, 39150, 29782, 4901, 311, 330, 7430, 535, 15212, 596, 5426, 47059, 5233, 6880, 311, 3009, 2326, 12576, 1306, 7250, 63409, 2053, 10496, 6411, 31646, 627, 791, 350, 15924, 347, 3573, 697, 86863, 909, 7351, 304, 15212, 706, 11096, 264, 4901, 8260, 311, 3009, 2326, 12576, 311, 15212, 11, 323, 311, 9299, 279, 220, 4468, 24, 9702, 6941, 9096, 38997, 449, 6921, 11, 13690, 5513, 15212, 5068, 389, 7884, 627, 8142, 279, 6160, 12, 64709, 10496, 13695, 10368, 574, 26765, 11, 279, 2326, 10717, 2875, 315, 9299, 287, 1202, 9974, 400, 16, 13, 18, 7239, 12576, 311, 15212, 627, 44653, 5513, 15212, 17637, 279, 7351, 596, 3772, 31384, 43356, 70690, 4749, 439, 5605, 279, 4901, 690, 6667, 33728, 505, 1274, 11, 323, 430, 1070, 574, 912, 67640, 369, 279, 4901, 3686, 627, 791, 330, 2822, 311, 2326, 12576, 1, 4901, 706, 2736, 20802, 220, 3101, 11, 931, 33728, 627, 34627, 706, 41867, 311, 4822, 21737, 389, 279, 63355, 304, 15212, 311, 5766, 87843, 19092, 4868, 23915, 449, 279, 33589, 6411, 627, 34627, 6944, 311, 5766, 904, 44219, 315, 1202, 4868, 23915, 449, 15212, 11, 902, 44814, 505, 279, 220, 4468, 24, 9096, 38997, 482, 279, 1176, 315, 1193, 1403, 1778, 1046, 2311, 1990, 6921, 323, 10989, 5961, 627, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208 ]
[ 128000, 791, 4585, 311, 26418, 279, 549, 815, 12898, 69931, 3973, 7882, 8469, 439, 6918, 11527, 4756, 1403, 4033, 7540, 369, 33840, 311, 30714, 25018, 21282, 315, 264, 3973, 7147, 627, 128001, 128000, 40, 7655, 449, 701, 5224, 719, 4148, 36931, 13120, 19513, 37380, 323, 8454, 1124, 449, 2262, 1093, 55346, 11, 9063, 19905, 323, 779, 389, 13, 29308, 11, 44145, 11, 1070, 4536, 956, 904, 5452, 430, 32629, 649, 733, 389, 323, 636, 264, 8941, 315, 14675, 14926, 13, 1442, 1070, 574, 2019, 264, 49737, 5526, 2477, 4731, 1501, 389, 13674, 304, 902, 279, 10255, 78785, 3782, 389, 11, 10887, 323, 1243, 1047, 264, 2503, 1523, 18181, 1742, 7274, 1243, 430, 1053, 387, 12738, 323, 499, 4265, 387, 220, 1041, 4, 1314, 13, 362, 30069, 439, 459, 71639, 1193, 19114, 994, 10307, 279, 48869, 309, 2689, 9063, 4420, 99611, 1501, 7274, 389, 510, 791, 39315, 52022, 7073, 9725, 2485, 1129, 55960, 8809, 14, 15270, 56, 22, 5901, 35, 48, 71, 56, 8, 374, 1633, 1972, 13, 24702, 433, 311, 813, 1501, 449, 68573, 13566, 11, 5348, 64349, 489, 84883, 10994, 11, 16645, 31074, 11, 13972, 29346, 11, 323, 3885, 323, 499, 7373, 4667, 1606, 814, 527, 16280, 68835, 12173, 1753, 21592, 35900, 28509, 13, 2360, 46588, 11, 912, 29859, 16420, 1534, 11503, 38241, 86125, 11503, 477, 4205, 13, 90454, 876, 64, 29910, 433, 304, 71639, 19905, 1093, 420, 832, 505, 510, 91588, 17268, 9725, 2485, 1129, 55960, 8809, 17146, 3096, 19, 34, 70, 55, 11529, 49865, 8, 323, 2555, 597, 8539, 13820, 649, 656, 422, 814, 6604, 71639, 374, 4631, 370, 449, 71639, 2262, 34899, 1093, 90454, 876, 64, 1550, 449, 32618, 16027, 304, 420, 510, 10191, 9725, 2485, 1129, 55960, 8809, 6801, 33, 48, 38, 23, 57, 7614, 8671, 23, 8, 902, 2751, 220, 18, 13, 22, 76, 6325, 13, 5112, 315, 3388, 1070, 374, 279, 71639, 597, 8539, 893, 5678, 26, 16645, 31074, 13, 5884, 71639, 19114, 649, 45769, 3821, 2019, 813, 510, 40391, 449, 90454, 876, 64, 9725, 2485, 1129, 55960, 8809, 14, 1804, 87729, 55, 4594, 3617, 23, 8, 323, 4667, 220, 1041, 14697, 2360, 67766, 4460, 323, 912, 46588, 1511, 13, 4815, 40, 649, 956, 3868, 369, 279, 1938, 584, 636, 279, 1176, 682, 71639, 12365, 735, 8539, 1912, 11, 11951, 832, 1903, 709, 315, 70811, 889, 14264, 709, 304, 5270, 320, 4636, 358, 3358, 4287, 12660, 11104, 570, 578, 11542, 311, 12192, 1124, 2225, 439, 264, 597, 8539, 49014, 1912, 304, 13936, 323, 439, 264, 2477, 1912, 304, 279, 4410, 11, 422, 16070, 1664, 11, 1288, 387, 2294, 369, 872, 2883, 13, 4702, 13085, 264, 1912, 449, 3697, 1093, 473, 12825, 55092, 50900, 11, 55676, 11, 18024, 72, 11, 90454, 876, 64, 323, 16344, 13, 60897, 71639, 11, 11104, 49395, 320, 3427, 9020, 311, 55092, 50900, 596, 502, 5609, 323, 3371, 757, 430, 3250, 956, 46789, 3778, 12365, 872, 4059, 323, 11890, 9072, 388, 311, 357, 33721, 11, 4661, 16280, 8, 719, 79180, 2740, 735, 878, 323, 6604, 58868, 735, 878, 13, 12468, 3243, 369, 279, 6460, 323, 4410, 13, 128001, 128000, 2028, 374, 832, 7060, 36182, 29466, 404, 11, 6335, 398, 15910, 555, 93401, 10016, 449, 264, 3552, 315, 2307, 75, 1413, 6917, 10800, 505, 8096, 435, 395, 65, 1693, 11, 27524, 58131, 11, 71309, 426, 8506, 11, 13597, 978, 36427, 21510, 11, 323, 17478, 21823, 627, 34, 494, 582, 45040, 753, 18302, 9894, 719, 20333, 85875, 374, 2728, 71920, 5216, 555, 93401, 10016, 11, 6832, 26861, 9302, 1742, 41255, 279, 43787, 45578, 42197, 315, 279, 4632, 753, 58737, 5885, 627, 3947, 617, 1027, 927, 17510, 5818, 77765, 315, 473, 13, 393, 13, 10919, 7868, 7493, 11, 682, 7154, 25565, 13, 1628, 3686, 10919, 7868, 753, 6225, 3225, 17482, 439, 264, 8641, 311, 1790, 315, 3432, 753, 34292, 627, 128001, 128000, 11439, 311, 264, 3293, 3157, 4007, 389, 279, 1614, 315, 279, 11040, 10706, 430, 584, 617, 6004, 520, 5377, 1347, 28316, 11, 4661, 220, 6086, 4, 315, 3432, 753, 30282, 1051, 9293, 311, 5376, 872, 8871, 42484, 420, 1060, 902, 9539, 5039, 264, 9327, 2349, 430, 1053, 3136, 304, 279, 5108, 1667, 13, 7054, 30601, 304, 30282, 529, 8871, 10374, 527, 10968, 389, 5425, 54968, 11, 9624, 323, 6505, 17357, 11, 323, 220, 4643, 4, 315, 30282, 690, 2793, 11951, 304, 872, 3637, 6067, 11, 1405, 279, 1396, 315, 30282, 1701, 6505, 27592, 374, 3685, 311, 24657, 304, 279, 1828, 1060, 13, 1115, 5039, 264, 6928, 3157, 36721, 369, 29629, 315, 18699, 10105, 323, 6067, 25103, 11040, 627, 3923, 279, 1890, 4007, 43496, 439, 1664, 374, 430, 8994, 279, 11295, 6650, 315, 2930, 11040, 11, 7106, 10756, 690, 3136, 311, 387, 279, 1925, 5696, 315, 2860, 11040, 6763, 369, 3892, 810, 1667, 311, 2586, 13, 1115, 374, 5423, 837, 304, 24084, 11987, 4245, 311, 2204, 14054, 11, 5897, 323, 11761, 7865, 8125, 13, 2057, 923, 264, 2766, 810, 1933, 311, 420, 5224, 11, 5296, 430, 279, 4007, 10675, 430, 927, 279, 5108, 1667, 11, 220, 4578, 4, 315, 2860, 11040, 6763, 304, 8040, 5961, 1093, 279, 7427, 11, 323, 264, 63969, 220, 2721, 4, 389, 5578, 304, 24084, 11987, 1093, 12550, 477, 6890, 690, 2103, 387, 15393, 304, 7106, 10756, 627, 2181, 374, 2867, 1243, 430, 7106, 10756, 690, 3136, 311, 1514, 264, 1401, 3560, 304, 279, 11040, 3634, 13, 35139, 30295, 527, 10223, 3582, 323, 430, 3966, 311, 387, 4529, 1139, 2759, 555, 30282, 5694, 304, 872, 15174, 11, 439, 1664, 439, 555, 6425, 29629, 1093, 5377, 1347, 28316, 311, 3136, 311, 1862, 30282, 369, 24872, 77651, 13, 6984, 304, 220, 679, 15, 584, 1903, 279, 19092, 5597, 311, 2274, 264, 502, 1486, 315, 6412, 6425, 11, 7373, 3566, 323, 6505, 13, 2468, 5377, 1347, 28316, 584, 1051, 1664, 35328, 311, 656, 779, 2533, 3432, 753, 6505, 1486, 315, 6412, 374, 459, 15740, 315, 1057, 72423, 6992, 3766, 1486, 315, 6412, 6425, 11, 279, 5377, 1347, 28316, 8102, 27592, 430, 574, 24174, 3345, 311, 220, 16, 3610, 3115, 0, 5751, 11622, 502, 1486, 315, 6412, 574, 11887, 304, 220, 679, 17, 23711, 304, 279, 502, 5377, 1347, 28316, 369, 35139, 6425, 13, 11450, 584, 649, 2103, 45909, 2019, 430, 433, 374, 264, 41264, 2027, 304, 279, 3157, 323, 420, 706, 5535, 603, 311, 11322, 2294, 3135, 5423, 304, 24084, 11987, 1405, 1825, 2592, 79010, 11335, 264, 1401, 3560, 627, 6153, 1403, 1667, 315, 19815, 16003, 323, 11156, 46045, 2736, 6818, 323, 12793, 555, 3062, 8403, 323, 449, 19019, 7982, 3157, 47955, 584, 617, 17427, 48261, 13, 4800, 584, 617, 264, 2731, 6425, 11, 323, 584, 527, 810, 6573, 323, 9539, 10235, 369, 3938, 11774, 304, 279, 11040, 5064, 13, 1628, 11, 315, 3388, 11, 1475, 1938, 584, 3136, 311, 2793, 304, 4726, 42028, 1057, 6425, 311, 4822, 304, 279, 348, 53290, 627, 31233, 389, 279, 26455, 3135, 17427, 311, 2457, 584, 1505, 433, 279, 1314, 892, 311, 4726, 20259, 1057, 39825, 323, 9407, 1057, 9546, 439, 264, 6522, 10105, 21390, 304, 279, 11040, 3157, 13, 42096, 584, 3940, 42247, 1057, 45715, 311, 3719, 279, 15236, 31480, 17916, 369, 62565, 30282, 1555, 1057, 5377, 1347, 28316, 31480, 17916, 11, 459, 15740, 315, 279, 5377, 1347, 28316, 369, 35139, 6425, 627, 791, 5377, 1347, 28316, 31480, 17916, 439, 584, 48146, 433, 374, 1790, 810, 1109, 264, 8036, 11040, 6425, 430, 4131, 11, 1095, 753, 2019, 11, 1054, 412, 8838, 10826, 12913, 11453, 5751, 31480, 17916, 33511, 682, 279, 2294, 2574, 315, 1057, 11040, 6425, 11, 2737, 315, 3388, 1057, 6522, 6505, 1486, 315, 6412, 439, 1664, 439, 16781, 11040, 3230, 15293, 304, 279, 1203, 842, 13, 14968, 433, 753, 1790, 810, 13, 578, 31480, 17916, 810, 13750, 1109, 3596, 28605, 1154, 279, 69477, 25152, 315, 279, 5377, 1347, 28316, 17916, 11, 449, 16757, 958, 6595, 1968, 11, 95230, 2968, 11, 323, 49141, 17357, 10923, 62565, 30282, 311, 4667, 58535, 14645, 1093, 369, 41441, 11, 8323, 54079, 477, 4528, 13, 362, 19303, 31480, 17916, 430, 649, 387, 30464, 439, 279, 37891, 753, 2626, 93054, 323, 28815, 11, 13967, 8779, 30282, 311, 4822, 15022, 13, 1628, 430, 753, 1148, 13146, 369, 603, 520, 5377, 1347, 28316, 13, 2100, 358, 1781, 420, 374, 264, 1695, 4545, 311, 4430, 449, 499, 1063, 26793, 389, 1268, 584, 527, 3339, 420, 3284, 627, 3915, 264, 2027, 13356, 584, 7376, 4216, 420, 1060, 264, 502, 69917, 11, 810, 4686, 323, 6573, 1405, 31139, 11, 28975, 11, 5452, 25152, 323, 76160, 527, 279, 1401, 64982, 11, 682, 20034, 520, 13750, 30438, 311, 5064, 18845, 323, 502, 11774, 13, 578, 502, 69917, 3782, 449, 264, 502, 17836, 11216, 449, 51534, 19786, 430, 690, 1520, 603, 3493, 3596, 5190, 4367, 323, 690, 387, 1401, 311, 2731, 10299, 279, 1648, 6444, 10491, 311, 2713, 872, 6067, 627, 3915, 459, 41295, 13356, 584, 1440, 922, 279, 12939, 315, 5064, 3230, 6677, 323, 9093, 584, 527, 7999, 502, 23944, 1274, 311, 1057, 2027, 4500, 11, 2027, 6373, 11, 5613, 6373, 323, 3600, 7411, 13, 1226, 617, 2884, 264, 8427, 2068, 52774, 311, 14638, 311, 1888, 5643, 23663, 449, 264, 17033, 3839, 3335, 323, 3217, 304, 279, 10706, 902, 584, 527, 463, 64119, 11125, 1555, 502, 8427, 24279, 21343, 430, 4985, 1520, 311, 9407, 279, 43972, 315, 1057, 3728, 13740, 11040, 5643, 627, 3915, 459, 10209, 1486, 315, 1684, 1457, 279, 5377, 1347, 28316, 31480, 17916, 374, 832, 315, 1057, 1403, 64982, 3871, 449, 279, 5377, 1347, 28316, 66279, 17916, 8617, 13239, 304, 264, 1633, 17550, 323, 2867, 907, 41180, 13, 1561, 3600, 1778, 439, 220, 1187, 87, 22, 87, 12676, 1862, 430, 527, 264, 2011, 369, 30282, 527, 1101, 9076, 627, 6531, 291, 8661, 9045, 527, 539, 1193, 7347, 311, 1057, 2867, 30622, 389, 1057, 3997, 11, 719, 527, 1101, 31288, 2212, 264, 1633, 19019, 7982, 1396, 315, 6130, 2450, 7493, 4315, 30282, 2212, 279, 24867, 11, 3157, 29060, 1093, 279, 4007, 389, 279, 1614, 315, 279, 11040, 5064, 14183, 311, 3485, 11, 323, 315, 3388, 1555, 16781, 9546, 11, 3629, 449, 1057, 4033, 23663, 11, 304, 1063, 315, 279, 1455, 3062, 11040, 45593, 1093, 88014, 1846, 304, 12550, 11, 12366, 35139, 10563, 304, 9822, 11, 16646, 37, 304, 6890, 477, 35139, 13936, 52423, 304, 19730, 18711, 13, 2052, 1521, 323, 1690, 1023, 10968, 7640, 584, 527, 10917, 304, 2035, 527, 33459, 1057, 9546, 304, 279, 3157, 11, 50096, 323, 48513, 1057, 3157, 39825, 11, 439, 1664, 439, 7231, 603, 279, 6776, 311, 636, 2167, 11302, 505, 279, 3157, 627, 4516, 439, 499, 649, 1518, 433, 374, 539, 1193, 264, 5030, 315, 264, 502, 1614, 8838, 10826, 38921, 2027, 719, 1101, 279, 20109, 315, 264, 7626, 19092, 5597, 13, 4800, 420, 374, 264, 2294, 502, 3094, 4741, 304, 1057, 35782, 439, 6522, 1825, 2592, 3241, 21390, 11, 449, 3831, 4907, 323, 12410, 3196, 389, 6130, 48188, 12457, 311, 2457, 13, 578, 35139, 6776, 374, 6908, 369, 30282, 11, 11040, 6067, 8936, 3046, 439, 1664, 439, 369, 5377, 1347, 28316, 3432, 323, 304, 279, 3938, 13, 32082, 311, 5249, 603, 5380, 3513, 279, 12781, 9307, 11, 1457, 4999, 128001 ]
[ -100, 791, 4585, 311, 26418, 279, 549, 815, 12898, 69931, 3973, 7882, 8469, 439, 6918, 11527, 4756, 1403, 4033, 7540, 369, 33840, 311, 30714, 25018, 21282, 315, 264, 3973, 7147, 627, 128001, -100, 40, 7655, 449, 701, 5224, 719, 4148, 36931, 13120, 19513, 37380, 323, 8454, 1124, 449, 2262, 1093, 55346, 11, 9063, 19905, 323, 779, 389, 13, 29308, 11, 44145, 11, 1070, 4536, 956, 904, 5452, 430, 32629, 649, 733, 389, 323, 636, 264, 8941, 315, 14675, 14926, 13, 1442, 1070, 574, 2019, 264, 49737, 5526, 2477, 4731, 1501, 389, 13674, 304, 902, 279, 10255, 78785, 3782, 389, 11, 10887, 323, 1243, 1047, 264, 2503, 1523, 18181, 1742, 7274, 1243, 430, 1053, 387, 12738, 323, 499, 4265, 387, 220, 1041, 4, 1314, 13, 362, 30069, 439, 459, 71639, 1193, 19114, 994, 10307, 279, 48869, 309, 2689, 9063, 4420, 99611, 1501, 7274, 389, 510, 791, 39315, 52022, 7073, 9725, 2485, 1129, 55960, 8809, 14, 15270, 56, 22, 5901, 35, 48, 71, 56, 8, 374, 1633, 1972, 13, 24702, 433, 311, 813, 1501, 449, 68573, 13566, 11, 5348, 64349, 489, 84883, 10994, 11, 16645, 31074, 11, 13972, 29346, 11, 323, 3885, 323, 499, 7373, 4667, 1606, 814, 527, 16280, 68835, 12173, 1753, 21592, 35900, 28509, 13, 2360, 46588, 11, 912, 29859, 16420, 1534, 11503, 38241, 86125, 11503, 477, 4205, 13, 90454, 876, 64, 29910, 433, 304, 71639, 19905, 1093, 420, 832, 505, 510, 91588, 17268, 9725, 2485, 1129, 55960, 8809, 17146, 3096, 19, 34, 70, 55, 11529, 49865, 8, 323, 2555, 597, 8539, 13820, 649, 656, 422, 814, 6604, 71639, 374, 4631, 370, 449, 71639, 2262, 34899, 1093, 90454, 876, 64, 1550, 449, 32618, 16027, 304, 420, 510, 10191, 9725, 2485, 1129, 55960, 8809, 6801, 33, 48, 38, 23, 57, 7614, 8671, 23, 8, 902, 2751, 220, 18, 13, 22, 76, 6325, 13, 5112, 315, 3388, 1070, 374, 279, 71639, 597, 8539, 893, 5678, 26, 16645, 31074, 13, 5884, 71639, 19114, 649, 45769, 3821, 2019, 813, 510, 40391, 449, 90454, 876, 64, 9725, 2485, 1129, 55960, 8809, 14, 1804, 87729, 55, 4594, 3617, 23, 8, 323, 4667, 220, 1041, 14697, 2360, 67766, 4460, 323, 912, 46588, 1511, 13, 4815, 40, 649, 956, 3868, 369, 279, 1938, 584, 636, 279, 1176, 682, 71639, 12365, 735, 8539, 1912, 11, 11951, 832, 1903, 709, 315, 70811, 889, 14264, 709, 304, 5270, 320, 4636, 358, 3358, 4287, 12660, 11104, 570, 578, 11542, 311, 12192, 1124, 2225, 439, 264, 597, 8539, 49014, 1912, 304, 13936, 323, 439, 264, 2477, 1912, 304, 279, 4410, 11, 422, 16070, 1664, 11, 1288, 387, 2294, 369, 872, 2883, 13, 4702, 13085, 264, 1912, 449, 3697, 1093, 473, 12825, 55092, 50900, 11, 55676, 11, 18024, 72, 11, 90454, 876, 64, 323, 16344, 13, 60897, 71639, 11, 11104, 49395, 320, 3427, 9020, 311, 55092, 50900, 596, 502, 5609, 323, 3371, 757, 430, 3250, 956, 46789, 3778, 12365, 872, 4059, 323, 11890, 9072, 388, 311, 357, 33721, 11, 4661, 16280, 8, 719, 79180, 2740, 735, 878, 323, 6604, 58868, 735, 878, 13, 12468, 3243, 369, 279, 6460, 323, 4410, 13, 128001, -100, 2028, 374, 832, 7060, 36182, 29466, 404, 11, 6335, 398, 15910, 555, 93401, 10016, 449, 264, 3552, 315, 2307, 75, 1413, 6917, 10800, 505, 8096, 435, 395, 65, 1693, 11, 27524, 58131, 11, 71309, 426, 8506, 11, 13597, 978, 36427, 21510, 11, 323, 17478, 21823, 627, 34, 494, 582, 45040, 753, 18302, 9894, 719, 20333, 85875, 374, 2728, 71920, 5216, 555, 93401, 10016, 11, 6832, 26861, 9302, 1742, 41255, 279, 43787, 45578, 42197, 315, 279, 4632, 753, 58737, 5885, 627, 3947, 617, 1027, 927, 17510, 5818, 77765, 315, 473, 13, 393, 13, 10919, 7868, 7493, 11, 682, 7154, 25565, 13, 1628, 3686, 10919, 7868, 753, 6225, 3225, 17482, 439, 264, 8641, 311, 1790, 315, 3432, 753, 34292, 627, 128001, -100, 11439, 311, 264, 3293, 3157, 4007, 389, 279, 1614, 315, 279, 11040, 10706, 430, 584, 617, 6004, 520, 5377, 1347, 28316, 11, 4661, 220, 6086, 4, 315, 3432, 753, 30282, 1051, 9293, 311, 5376, 872, 8871, 42484, 420, 1060, 902, 9539, 5039, 264, 9327, 2349, 430, 1053, 3136, 304, 279, 5108, 1667, 13, 7054, 30601, 304, 30282, 529, 8871, 10374, 527, 10968, 389, 5425, 54968, 11, 9624, 323, 6505, 17357, 11, 323, 220, 4643, 4, 315, 30282, 690, 2793, 11951, 304, 872, 3637, 6067, 11, 1405, 279, 1396, 315, 30282, 1701, 6505, 27592, 374, 3685, 311, 24657, 304, 279, 1828, 1060, 13, 1115, 5039, 264, 6928, 3157, 36721, 369, 29629, 315, 18699, 10105, 323, 6067, 25103, 11040, 627, 3923, 279, 1890, 4007, 43496, 439, 1664, 374, 430, 8994, 279, 11295, 6650, 315, 2930, 11040, 11, 7106, 10756, 690, 3136, 311, 387, 279, 1925, 5696, 315, 2860, 11040, 6763, 369, 3892, 810, 1667, 311, 2586, 13, 1115, 374, 5423, 837, 304, 24084, 11987, 4245, 311, 2204, 14054, 11, 5897, 323, 11761, 7865, 8125, 13, 2057, 923, 264, 2766, 810, 1933, 311, 420, 5224, 11, 5296, 430, 279, 4007, 10675, 430, 927, 279, 5108, 1667, 11, 220, 4578, 4, 315, 2860, 11040, 6763, 304, 8040, 5961, 1093, 279, 7427, 11, 323, 264, 63969, 220, 2721, 4, 389, 5578, 304, 24084, 11987, 1093, 12550, 477, 6890, 690, 2103, 387, 15393, 304, 7106, 10756, 627, 2181, 374, 2867, 1243, 430, 7106, 10756, 690, 3136, 311, 1514, 264, 1401, 3560, 304, 279, 11040, 3634, 13, 35139, 30295, 527, 10223, 3582, 323, 430, 3966, 311, 387, 4529, 1139, 2759, 555, 30282, 5694, 304, 872, 15174, 11, 439, 1664, 439, 555, 6425, 29629, 1093, 5377, 1347, 28316, 311, 3136, 311, 1862, 30282, 369, 24872, 77651, 13, 6984, 304, 220, 679, 15, 584, 1903, 279, 19092, 5597, 311, 2274, 264, 502, 1486, 315, 6412, 6425, 11, 7373, 3566, 323, 6505, 13, 2468, 5377, 1347, 28316, 584, 1051, 1664, 35328, 311, 656, 779, 2533, 3432, 753, 6505, 1486, 315, 6412, 374, 459, 15740, 315, 1057, 72423, 6992, 3766, 1486, 315, 6412, 6425, 11, 279, 5377, 1347, 28316, 8102, 27592, 430, 574, 24174, 3345, 311, 220, 16, 3610, 3115, 0, 5751, 11622, 502, 1486, 315, 6412, 574, 11887, 304, 220, 679, 17, 23711, 304, 279, 502, 5377, 1347, 28316, 369, 35139, 6425, 13, 11450, 584, 649, 2103, 45909, 2019, 430, 433, 374, 264, 41264, 2027, 304, 279, 3157, 323, 420, 706, 5535, 603, 311, 11322, 2294, 3135, 5423, 304, 24084, 11987, 1405, 1825, 2592, 79010, 11335, 264, 1401, 3560, 627, 6153, 1403, 1667, 315, 19815, 16003, 323, 11156, 46045, 2736, 6818, 323, 12793, 555, 3062, 8403, 323, 449, 19019, 7982, 3157, 47955, 584, 617, 17427, 48261, 13, 4800, 584, 617, 264, 2731, 6425, 11, 323, 584, 527, 810, 6573, 323, 9539, 10235, 369, 3938, 11774, 304, 279, 11040, 5064, 13, 1628, 11, 315, 3388, 11, 1475, 1938, 584, 3136, 311, 2793, 304, 4726, 42028, 1057, 6425, 311, 4822, 304, 279, 348, 53290, 627, 31233, 389, 279, 26455, 3135, 17427, 311, 2457, 584, 1505, 433, 279, 1314, 892, 311, 4726, 20259, 1057, 39825, 323, 9407, 1057, 9546, 439, 264, 6522, 10105, 21390, 304, 279, 11040, 3157, 13, 42096, 584, 3940, 42247, 1057, 45715, 311, 3719, 279, 15236, 31480, 17916, 369, 62565, 30282, 1555, 1057, 5377, 1347, 28316, 31480, 17916, 11, 459, 15740, 315, 279, 5377, 1347, 28316, 369, 35139, 6425, 627, 791, 5377, 1347, 28316, 31480, 17916, 439, 584, 48146, 433, 374, 1790, 810, 1109, 264, 8036, 11040, 6425, 430, 4131, 11, 1095, 753, 2019, 11, 1054, 412, 8838, 10826, 12913, 11453, 5751, 31480, 17916, 33511, 682, 279, 2294, 2574, 315, 1057, 11040, 6425, 11, 2737, 315, 3388, 1057, 6522, 6505, 1486, 315, 6412, 439, 1664, 439, 16781, 11040, 3230, 15293, 304, 279, 1203, 842, 13, 14968, 433, 753, 1790, 810, 13, 578, 31480, 17916, 810, 13750, 1109, 3596, 28605, 1154, 279, 69477, 25152, 315, 279, 5377, 1347, 28316, 17916, 11, 449, 16757, 958, 6595, 1968, 11, 95230, 2968, 11, 323, 49141, 17357, 10923, 62565, 30282, 311, 4667, 58535, 14645, 1093, 369, 41441, 11, 8323, 54079, 477, 4528, 13, 362, 19303, 31480, 17916, 430, 649, 387, 30464, 439, 279, 37891, 753, 2626, 93054, 323, 28815, 11, 13967, 8779, 30282, 311, 4822, 15022, 13, 1628, 430, 753, 1148, 13146, 369, 603, 520, 5377, 1347, 28316, 13, 2100, 358, 1781, 420, 374, 264, 1695, 4545, 311, 4430, 449, 499, 1063, 26793, 389, 1268, 584, 527, 3339, 420, 3284, 627, 3915, 264, 2027, 13356, 584, 7376, 4216, 420, 1060, 264, 502, 69917, 11, 810, 4686, 323, 6573, 1405, 31139, 11, 28975, 11, 5452, 25152, 323, 76160, 527, 279, 1401, 64982, 11, 682, 20034, 520, 13750, 30438, 311, 5064, 18845, 323, 502, 11774, 13, 578, 502, 69917, 3782, 449, 264, 502, 17836, 11216, 449, 51534, 19786, 430, 690, 1520, 603, 3493, 3596, 5190, 4367, 323, 690, 387, 1401, 311, 2731, 10299, 279, 1648, 6444, 10491, 311, 2713, 872, 6067, 627, 3915, 459, 41295, 13356, 584, 1440, 922, 279, 12939, 315, 5064, 3230, 6677, 323, 9093, 584, 527, 7999, 502, 23944, 1274, 311, 1057, 2027, 4500, 11, 2027, 6373, 11, 5613, 6373, 323, 3600, 7411, 13, 1226, 617, 2884, 264, 8427, 2068, 52774, 311, 14638, 311, 1888, 5643, 23663, 449, 264, 17033, 3839, 3335, 323, 3217, 304, 279, 10706, 902, 584, 527, 463, 64119, 11125, 1555, 502, 8427, 24279, 21343, 430, 4985, 1520, 311, 9407, 279, 43972, 315, 1057, 3728, 13740, 11040, 5643, 627, 3915, 459, 10209, 1486, 315, 1684, 1457, 279, 5377, 1347, 28316, 31480, 17916, 374, 832, 315, 1057, 1403, 64982, 3871, 449, 279, 5377, 1347, 28316, 66279, 17916, 8617, 13239, 304, 264, 1633, 17550, 323, 2867, 907, 41180, 13, 1561, 3600, 1778, 439, 220, 1187, 87, 22, 87, 12676, 1862, 430, 527, 264, 2011, 369, 30282, 527, 1101, 9076, 627, 6531, 291, 8661, 9045, 527, 539, 1193, 7347, 311, 1057, 2867, 30622, 389, 1057, 3997, 11, 719, 527, 1101, 31288, 2212, 264, 1633, 19019, 7982, 1396, 315, 6130, 2450, 7493, 4315, 30282, 2212, 279, 24867, 11, 3157, 29060, 1093, 279, 4007, 389, 279, 1614, 315, 279, 11040, 5064, 14183, 311, 3485, 11, 323, 315, 3388, 1555, 16781, 9546, 11, 3629, 449, 1057, 4033, 23663, 11, 304, 1063, 315, 279, 1455, 3062, 11040, 45593, 1093, 88014, 1846, 304, 12550, 11, 12366, 35139, 10563, 304, 9822, 11, 16646, 37, 304, 6890, 477, 35139, 13936, 52423, 304, 19730, 18711, 13, 2052, 1521, 323, 1690, 1023, 10968, 7640, 584, 527, 10917, 304, 2035, 527, 33459, 1057, 9546, 304, 279, 3157, 11, 50096, 323, 48513, 1057, 3157, 39825, 11, 439, 1664, 439, 7231, 603, 279, 6776, 311, 636, 2167, 11302, 505, 279, 3157, 627, 4516, 439, 499, 649, 1518, 433, 374, 539, 1193, 264, 5030, 315, 264, 502, 1614, 8838, 10826, 38921, 2027, 719, 1101, 279, 20109, 315, 264, 7626, 19092, 5597, 13, 4800, 420, 374, 264, 2294, 502, 3094, 4741, 304, 1057, 35782, 439, 6522, 1825, 2592, 3241, 21390, 11, 449, 3831, 4907, 323, 12410, 3196, 389, 6130, 48188, 12457, 311, 2457, 13, 578, 35139, 6776, 374, 6908, 369, 30282, 11, 11040, 6067, 8936, 3046, 439, 1664, 439, 369, 5377, 1347, 28316, 3432, 323, 304, 279, 3938, 13, 32082, 311, 5249, 603, 5380, 3513, 279, 12781, 9307, 11, 1457, 4999, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194 ]
[ 128000, 32, 12782, 40589, 320, 8445, 220, 17, 8, 4027, 56807, 39672, 374, 264, 23665, 11, 4642, 4027, 9313, 3756, 430, 4375, 555, 1367, 6427, 12782, 40589, 8800, 264, 4027, 13, 1102, 4375, 555, 13770, 4628, 279, 24463, 279, 4027, 34744, 5304, 311, 3136, 20252, 11, 323, 433, 374, 15871, 1511, 311, 56807, 819, 27176, 304, 902, 279, 2592, 315, 279, 10633, 374, 264, 1344, 100210, 14812, 477, 6962, 13, 22208, 40589, 4027, 56807, 819, 388, 527, 264, 1633, 4279, 1376, 315, 4027, 117054, 11439, 311, 2650, 46586, 21785, 11, 4027, 56807, 819, 388, 1005, 12782, 40589, 311, 834, 2050, 279, 24463, 5995, 369, 264, 4027, 311, 8395, 11, 56807, 11218, 279, 117054, 37707, 423, 37901, 6785, 1398, 1303, 84, 39672, 1389, 3623, 17, 6785, 1398, 1303, 51220, 388, 198, 37707, 423, 37901, 320, 7489, 17, 8, 6785, 1398, 1303, 51220, 388, 527, 1511, 369, 538, 426, 1344, 100210, 67849, 27176, 439, 1664, 439, 3308, 356, 45034, 27176, 439, 814, 527, 9249, 750, 2536, 15204, 68243, 13, 22208, 423, 37901, 374, 264, 4335, 11, 2536, 35172, 8778, 1113, 11, 54097, 1752, 6962, 13, 3308, 426, 83930, 25, 3061, 100210, 69618, 3447, 12279, 300, 22671, 11, 5707, 11, 63471, 11, 65802, 606, 320, 14866, 1344, 100210, 45612, 4390, 4438, 7432, 17, 4027, 56807, 819, 388, 990, 25, 7432, 17, 4027, 56807, 819, 388, 32643, 7432, 17, 6962, 11, 1101, 3967, 439, 12782, 40589, 13, 1115, 374, 9967, 304, 279, 56807, 39672, 439, 264, 14812, 11, 323, 279, 6962, 374, 3549, 1234, 7410, 994, 279, 3790, 315, 279, 56807, 39672, 374, 65262, 13, 117054, 16298, 7429, 21069, 264, 12782, 40589, 56807, 39672, 374, 1511, 369, 1148, 27176, 198, 4438, 649, 12782, 40589, 56807, 819, 388, 387, 1511, 311, 22472, 264, 4027, 5380, 644, 420, 1162, 11, 264, 12782, 40589, 56807, 39672, 649, 387, 1511, 311, 22472, 279, 4027, 555, 13770, 4628, 279, 24463, 430, 279, 4027, 34744, 5304, 369, 10633, 627, 3923, 6962, 1587, 264, 7432, 17, 4027, 56807, 39672, 32643, 5380, 8445, 17, 4027, 56807, 819, 388, 32643, 7432, 17, 6962, 11, 1101, 3967, 439, 12782, 40589, 13, 1115, 374, 9967, 304, 279, 56807, 39672, 439, 264, 14812, 11, 323, 279, 6962, 374, 3549, 1234, 7410, 994, 279, 3790, 315, 279, 56807, 39672, 374, 65262, 627, 10445, 527, 4027, 56807, 819, 388, 539, 14791, 369, 11742, 27176, 5380, 9673, 56807, 819, 388, 527, 539, 14791, 369, 11742, 477, 20314, 27176, 2533, 279, 14812, 649, 6929, 18200, 323, 5353, 1344, 100210, 13307, 311, 9041, 13, 7089, 56807, 819, 388, 23724, 279, 10633, 11, 30164, 264, 22881, 1990, 279, 1344, 100210, 3769, 323, 279, 24463, 304, 279, 14932, 3805, 627, 3923, 955, 315, 4027, 56807, 39672, 374, 1511, 369, 20314, 27176, 5380, 8445, 17, 4027, 56807, 819, 388, 527, 279, 56807, 39672, 315, 5873, 369, 20314, 27176, 11, 8051, 814, 1101, 990, 389, 1344, 100210, 14812, 320, 1058, 426, 8, 27176, 13, 1226, 10552, 682, 304, 1057, 4382, 8641, 627, 16298, 7429, 82269, 264, 12782, 40589, 56807, 39672, 374, 1511, 369, 1148, 27176, 198, 91, 1030, 17, 4027, 56807, 39672, 1511, 369, 7511, 91, 74441, 40589, 56807, 39672, 14791, 369, 7511, 91, 12840, 374, 1080, 17, 4027, 56807, 39672, 7511, 91, 74441, 40589, 955, 4027, 56807, 39672, 7511, 91, 74441, 40589, 4027, 56807, 39672, 13363, 7511, 91, 74441, 40589, 304, 4027, 56807, 819, 388, 7511, 91, 74441, 40589, 56807, 39672, 5829, 7511, 91, 74441, 40589, 4027, 56807, 39672, 538, 7511, 35734, 22208, 40589, 374, 1511, 304, 4027, 56807, 39672, 30, 8519, 22559, 128001, 128000, 791, 12474, 18197, 389, 9420, 10222, 304, 10007, 85181, 68600, 689, 3221, 279, 842, 315, 279, 1566, 20534, 13381, 11, 4184, 311, 264, 4007, 4756, 304, 279, 1510, 4360, 315, 279, 8486, 10170, 627, 791, 12283, 315, 279, 4007, 16997, 430, 220, 18660, 3610, 41999, 7693, 315, 3090, 927, 52616, 1776, 3518, 315, 10054, 430, 1047, 31532, 439, 18182, 31965, 83625, 304, 279, 44236, 323, 36617, 315, 279, 24610, 2192, 41114, 315, 68600, 689, 13, 578, 68600, 1122, 18197, 574, 922, 220, 2397, 3115, 439, 3544, 439, 904, 315, 279, 61272, 8066, 555, 279, 8339, 11188, 11, 279, 7928, 15140, 304, 279, 1917, 11, 323, 1253, 617, 8813, 43957, 315, 220, 16, 11, 5067, 7693, 11, 279, 12074, 13240, 627, 791, 14248, 30239, 4363, 27339, 304, 279, 24610, 2192, 41114, 11, 2737, 264, 98477, 389, 279, 62111, 5697, 11188, 323, 1023, 12006, 430, 1047, 8767, 1027, 30706, 311, 279, 1957, 315, 95790, 13, 12362, 279, 502, 828, 311, 1893, 6500, 47590, 315, 279, 18197, 220, 845, 11, 931, 1667, 4227, 11, 279, 3063, 3229, 315, 279, 4007, 11, 2999, 13, 33412, 29492, 11, 1766, 430, 279, 68600, 1122, 18197, 574, 10284, 7191, 1109, 264, 18197, 505, 430, 1890, 4261, 430, 44853, 304, 1148, 374, 1457, 9083, 283, 4355, 11, 9995, 627, 9023, 13, 29492, 11, 889, 1101, 6267, 264, 4007, 389, 279, 9083, 283, 4355, 18197, 11, 374, 78777, 6, 17054, 315, 4323, 85728, 2436, 323, 9878, 16238, 23199, 520, 279, 3907, 315, 17368, 304, 67952, 13, 1283, 1071, 279, 9083, 283, 4355, 323, 68600, 1122, 61272, 1051, 30139, 304, 430, 814, 10222, 520, 922, 279, 1890, 892, 11, 1051, 9057, 555, 3090, 15061, 1555, 10054, 83625, 323, 6532, 4528, 27378, 315, 3090, 627, 791, 68600, 1122, 18197, 11, 4869, 11, 85750, 520, 264, 10819, 323, 810, 8147, 4478, 323, 9041, 43726, 11, 568, 1071, 13, 2999, 13, 29492, 1511, 279, 1890, 12823, 311, 4007, 2225, 61272, 323, 20536, 430, 279, 68600, 1122, 18197, 1288, 387, 6646, 279, 8294, 323, 8617, 279, 12474, 18197, 304, 279, 3925, 315, 279, 9420, 2510, 6364, 5403, 279, 1925, 3446, 128001 ]
[ -100, 32, 12782, 40589, 320, 8445, 220, 17, 8, 4027, 56807, 39672, 374, 264, 23665, 11, 4642, 4027, 9313, 3756, 430, 4375, 555, 1367, 6427, 12782, 40589, 8800, 264, 4027, 13, 1102, 4375, 555, 13770, 4628, 279, 24463, 279, 4027, 34744, 5304, 311, 3136, 20252, 11, 323, 433, 374, 15871, 1511, 311, 56807, 819, 27176, 304, 902, 279, 2592, 315, 279, 10633, 374, 264, 1344, 100210, 14812, 477, 6962, 13, 22208, 40589, 4027, 56807, 819, 388, 527, 264, 1633, 4279, 1376, 315, 4027, 117054, 11439, 311, 2650, 46586, 21785, 11, 4027, 56807, 819, 388, 1005, 12782, 40589, 311, 834, 2050, 279, 24463, 5995, 369, 264, 4027, 311, 8395, 11, 56807, 11218, 279, 117054, 37707, 423, 37901, 6785, 1398, 1303, 84, 39672, 1389, 3623, 17, 6785, 1398, 1303, 51220, 388, 198, 37707, 423, 37901, 320, 7489, 17, 8, 6785, 1398, 1303, 51220, 388, 527, 1511, 369, 538, 426, 1344, 100210, 67849, 27176, 439, 1664, 439, 3308, 356, 45034, 27176, 439, 814, 527, 9249, 750, 2536, 15204, 68243, 13, 22208, 423, 37901, 374, 264, 4335, 11, 2536, 35172, 8778, 1113, 11, 54097, 1752, 6962, 13, 3308, 426, 83930, 25, 3061, 100210, 69618, 3447, 12279, 300, 22671, 11, 5707, 11, 63471, 11, 65802, 606, 320, 14866, 1344, 100210, 45612, 4390, 4438, 7432, 17, 4027, 56807, 819, 388, 990, 25, 7432, 17, 4027, 56807, 819, 388, 32643, 7432, 17, 6962, 11, 1101, 3967, 439, 12782, 40589, 13, 1115, 374, 9967, 304, 279, 56807, 39672, 439, 264, 14812, 11, 323, 279, 6962, 374, 3549, 1234, 7410, 994, 279, 3790, 315, 279, 56807, 39672, 374, 65262, 13, 117054, 16298, 7429, 21069, 264, 12782, 40589, 56807, 39672, 374, 1511, 369, 1148, 27176, 198, 4438, 649, 12782, 40589, 56807, 819, 388, 387, 1511, 311, 22472, 264, 4027, 5380, 644, 420, 1162, 11, 264, 12782, 40589, 56807, 39672, 649, 387, 1511, 311, 22472, 279, 4027, 555, 13770, 4628, 279, 24463, 430, 279, 4027, 34744, 5304, 369, 10633, 627, 3923, 6962, 1587, 264, 7432, 17, 4027, 56807, 39672, 32643, 5380, 8445, 17, 4027, 56807, 819, 388, 32643, 7432, 17, 6962, 11, 1101, 3967, 439, 12782, 40589, 13, 1115, 374, 9967, 304, 279, 56807, 39672, 439, 264, 14812, 11, 323, 279, 6962, 374, 3549, 1234, 7410, 994, 279, 3790, 315, 279, 56807, 39672, 374, 65262, 627, 10445, 527, 4027, 56807, 819, 388, 539, 14791, 369, 11742, 27176, 5380, 9673, 56807, 819, 388, 527, 539, 14791, 369, 11742, 477, 20314, 27176, 2533, 279, 14812, 649, 6929, 18200, 323, 5353, 1344, 100210, 13307, 311, 9041, 13, 7089, 56807, 819, 388, 23724, 279, 10633, 11, 30164, 264, 22881, 1990, 279, 1344, 100210, 3769, 323, 279, 24463, 304, 279, 14932, 3805, 627, 3923, 955, 315, 4027, 56807, 39672, 374, 1511, 369, 20314, 27176, 5380, 8445, 17, 4027, 56807, 819, 388, 527, 279, 56807, 39672, 315, 5873, 369, 20314, 27176, 11, 8051, 814, 1101, 990, 389, 1344, 100210, 14812, 320, 1058, 426, 8, 27176, 13, 1226, 10552, 682, 304, 1057, 4382, 8641, 627, 16298, 7429, 82269, 264, 12782, 40589, 56807, 39672, 374, 1511, 369, 1148, 27176, 198, 91, 1030, 17, 4027, 56807, 39672, 1511, 369, 7511, 91, 74441, 40589, 56807, 39672, 14791, 369, 7511, 91, 12840, 374, 1080, 17, 4027, 56807, 39672, 7511, 91, 74441, 40589, 955, 4027, 56807, 39672, 7511, 91, 74441, 40589, 4027, 56807, 39672, 13363, 7511, 91, 74441, 40589, 304, 4027, 56807, 819, 388, 7511, 91, 74441, 40589, 56807, 39672, 5829, 7511, 91, 74441, 40589, 4027, 56807, 39672, 538, 7511, 35734, 22208, 40589, 374, 1511, 304, 4027, 56807, 39672, 30, 8519, 22559, 128001, -100, 791, 12474, 18197, 389, 9420, 10222, 304, 10007, 85181, 68600, 689, 3221, 279, 842, 315, 279, 1566, 20534, 13381, 11, 4184, 311, 264, 4007, 4756, 304, 279, 1510, 4360, 315, 279, 8486, 10170, 627, 791, 12283, 315, 279, 4007, 16997, 430, 220, 18660, 3610, 41999, 7693, 315, 3090, 927, 52616, 1776, 3518, 315, 10054, 430, 1047, 31532, 439, 18182, 31965, 83625, 304, 279, 44236, 323, 36617, 315, 279, 24610, 2192, 41114, 315, 68600, 689, 13, 578, 68600, 1122, 18197, 574, 922, 220, 2397, 3115, 439, 3544, 439, 904, 315, 279, 61272, 8066, 555, 279, 8339, 11188, 11, 279, 7928, 15140, 304, 279, 1917, 11, 323, 1253, 617, 8813, 43957, 315, 220, 16, 11, 5067, 7693, 11, 279, 12074, 13240, 627, 791, 14248, 30239, 4363, 27339, 304, 279, 24610, 2192, 41114, 11, 2737, 264, 98477, 389, 279, 62111, 5697, 11188, 323, 1023, 12006, 430, 1047, 8767, 1027, 30706, 311, 279, 1957, 315, 95790, 13, 12362, 279, 502, 828, 311, 1893, 6500, 47590, 315, 279, 18197, 220, 845, 11, 931, 1667, 4227, 11, 279, 3063, 3229, 315, 279, 4007, 11, 2999, 13, 33412, 29492, 11, 1766, 430, 279, 68600, 1122, 18197, 574, 10284, 7191, 1109, 264, 18197, 505, 430, 1890, 4261, 430, 44853, 304, 1148, 374, 1457, 9083, 283, 4355, 11, 9995, 627, 9023, 13, 29492, 11, 889, 1101, 6267, 264, 4007, 389, 279, 9083, 283, 4355, 18197, 11, 374, 78777, 6, 17054, 315, 4323, 85728, 2436, 323, 9878, 16238, 23199, 520, 279, 3907, 315, 17368, 304, 67952, 13, 1283, 1071, 279, 9083, 283, 4355, 323, 68600, 1122, 61272, 1051, 30139, 304, 430, 814, 10222, 520, 922, 279, 1890, 892, 11, 1051, 9057, 555, 3090, 15061, 1555, 10054, 83625, 323, 6532, 4528, 27378, 315, 3090, 627, 791, 68600, 1122, 18197, 11, 4869, 11, 85750, 520, 264, 10819, 323, 810, 8147, 4478, 323, 9041, 43726, 11, 568, 1071, 13, 2999, 13, 29492, 1511, 279, 1890, 12823, 311, 4007, 2225, 61272, 323, 20536, 430, 279, 68600, 1122, 18197, 1288, 387, 6646, 279, 8294, 323, 8617, 279, 12474, 18197, 304, 279, 3925, 315, 279, 9420, 2510, 6364, 5403, 279, 1925, 3446, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347 ]
[ 128000, 8140, 21142, 18784, 430, 904, 6020, 323, 23541, 23104, 27070, 389, 62866, 52547, 2532, 12850, 304, 48513, 6505, 1396, 2700, 287, 4868, 11193, 690, 387, 63074, 291, 555, 279, 1317, 9860, 11761, 7095, 7720, 12886, 555, 13241, 4868, 11193, 627, 53463, 291, 9764, 12621, 1288, 387, 264, 1670, 29672, 389, 62866, 12850, 311, 5471, 54983, 1396, 2700, 287, 627, 11874, 75197, 17066, 1288, 387, 1511, 304, 14765, 315, 2700, 287, 315, 6505, 5219, 11, 719, 1005, 315, 31009, 6743, 374, 539, 264, 40044, 9966, 17066, 1920, 311, 5471, 54983, 6505, 1396, 2700, 287, 13, 1226, 12090, 1023, 810, 9966, 2671, 627, 1453, 8478, 31086, 369, 54443, 389, 2225, 279, 13490, 323, 30240, 52547, 2532, 12850, 482, 369, 3187, 11, 35018, 482, 304, 5157, 1405, 47999, 17066, 11618, 617, 539, 1027, 8272, 1053, 1180, 439, 264, 83720, 311, 74830, 9764, 23751, 12659, 627, 18876, 52547, 2532, 12850, 1288, 539, 6900, 264, 11307, 311, 264, 6130, 369, 279, 9954, 315, 459, 5217, 9764, 23751, 1920, 627, 78006, 2532, 12850, 1288, 387, 2631, 311, 39170, 6444, 922, 279, 4754, 37064, 315, 54983, 6505, 1396, 2700, 287, 323, 279, 12939, 315, 36051, 287, 311, 6220, 17066, 323, 4868, 12659, 627, 128001, 128000, 15777, 198, 2471, 676, 1952, 78, 358, 998, 8111, 520, 6763, 1567, 369, 1077, 6685, 2363, 364, 90259, 1270, 1966, 6250, 220, 23, 11, 24577, 1952, 78, 358, 998, 320, 1114, 8, 9922, 520, 264, 42317, 63465, 6763, 1567, 520, 279, 96437, 45644, 9046, 315, 426, 70305, 6132, 304, 27286, 369, 1077, 6685, 2363, 1054, 90259, 49216, 791, 7397, 1051, 4529, 304, 64328, 11, 24922, 13, 6385, 7075, 7397, 527, 279, 3185, 15300, 315, 1077, 3663, 323, 1364, 31645, 10437, 398, 439, 1364, 11224, 11, 1054, 5159, 3185, 5643, 374, 5128, 93, 13, 358, 2744, 617, 264, 7155, 7645, 11, 719, 369, 420, 2363, 11, 358, 31645, 264, 2763, 49216, 8100, 12570, 37875, 922, 1077, 81736, 3159, 15300, 11, 1054, 2181, 574, 45105, 11, 719, 358, 1097, 6380, 430, 279, 7397, 3782, 704, 32719, 2476, 323, 6688, 459, 29859, 15648, 439, 1364, 1071, 11, 1054, 5159, 4885, 1053, 2019, 364, 9210, 596, 1554, 332, 1919, 93, 6, 510, 9493, 814, 1766, 704, 25750, 89874, 3692, 323, 4758, 25, 15089, 5481, 198, 3947, 527, 220, 15, 6170, 128001, 128000, 44893, 835, 54695, 1372, 198, 2170, 6918, 26969, 1139, 12079, 5708, 12789, 3136, 11, 279, 14160, 12800, 3116, 1274, 505, 1948, 13312, 5220, 304, 3717, 449, 55465, 11380, 389, 7950, 13, 578, 8163, 5633, 25, 7957, 47790, 819, 1543, 11, 459, 11145, 369, 26150, 8121, 8483, 26, 4488, 21353, 5843, 11015, 315, 25300, 26, 33305, 54585, 9186, 315, 27233, 35785, 1233, 7327, 12604, 26, 323, 2418, 437, 4317, 13528, 359, 266, 321, 13637, 315, 29389, 79534, 42177, 3623, 13, 362, 18172, 11, 15469, 73696, 461, 315, 39424, 11, 574, 8767, 12800, 323, 706, 40001, 16390, 13, 330, 32, 22681, 4009, 315, 77814, 520, 1063, 315, 279, 1917, 753, 6522, 5557, 5220, 10434, 439, 779, 19434, 50184, 889, 6216, 704, 872, 23234, 555, 39098, 323, 1243, 10696, 61416, 872, 15525, 4871, 2038, 1359, 1071, 279, 549, 815, 13, 14065, 304, 6900, 315, 279, 1162, 13, 578, 11879, 311, 279, 38811, 6137, 304, 3389, 6841, 11, 994, 459, 9548, 520, 459, 26012, 9650, 7626, 34947, 47361, 2038, 922, 279, 5557, 5220, 311, 264, 42766, 3887, 82589, 449, 11527, 13, 128001, 128000, 3011, 574, 20075, 520, 1202, 1455, 20075, 1918, 13985, 13, 4702, 617, 264, 3577, 10017, 323, 387, 2884, 449, 433, 627, 7184, 311, 279, 13339, 315, 279, 10430, 13, 2360, 2851, 574, 16626, 1139, 279, 11166, 315, 39627, 555, 279, 73870, 788, 18772, 54, 6157, 320, 4066, 4047, 59798, 6, 10229, 315, 5270, 570, 362, 25478, 1414, 449, 220, 24376, 23096, 82, 11, 220, 20998, 62566, 11, 323, 220, 22, 32966, 82, 4036, 220, 1927, 13, 17, 4, 315, 279, 7055, 13, 362, 42070, 449, 220, 18384, 15160, 323, 220, 22, 18221, 13566, 82, 4036, 1193, 220, 1987, 13, 23, 4, 8595, 30, 9393, 315, 94853, 82, 627, 1628, 358, 649, 956, 3868, 311, 94986, 29607, 46268, 729, 596, 32079, 779, 358, 649, 3821, 433, 1578, 323, 1578, 11, 323, 617, 264, 43560, 273, 30194, 358, 1390, 13, 2030, 1521, 7752, 1051, 2646, 10791, 11, 2646, 23959, 11, 323, 814, 1051, 27860, 1695, 4311, 1524, 1603, 279, 4461, 1212, 315, 872, 94853, 25492, 13, 85126, 2834, 279, 32966, 220, 18, 3115, 505, 220, 2550, 15, 311, 220, 2550, 18, 13, 46268, 729, 2834, 220, 18, 315, 813, 18221, 13566, 82, 304, 10406, 627, 4071, 912, 11, 304, 420, 4360, 2539, 315, 20366, 3158, 323, 6485, 4860, 11, 279, 18772, 54, 6157, 706, 4529, 264, 4382, 3776, 323, 4251, 30031, 13, 53306, 14222, 28, 8890, 3036, 13, 7570, 1694, 23712, 555, 32427, 4311, 3445, 499, 2351, 16390, 13, 4452, 279, 18772, 54, 6157, 4536, 956, 3411, 369, 12437, 13, 2435, 5042, 1390, 311, 32151, 279, 4311, 889, 21699, 279, 41919, 430, 20075, 374, 2555, 3361, 11, 2555, 10748, 13, 1115, 374, 922, 72788, 627, 10944, 1440, 1063, 61650, 11838, 872, 5737, 31133, 11, 584, 1440, 1063, 1274, 4295, 279, 5041, 43726, 1131, 1884, 6691, 71574, 388, 1288, 7831, 369, 264, 1418, 10246, 9642, 11, 14594, 51016, 3604, 1071, 430, 627, 50, 2084, 30, 21720, 71574, 388, 30, 4314, 5222, 1093, 279, 4339, 315, 4423, 1694, 30147, 4994, 264, 7301, 4783, 11, 1306, 1063, 86419, 1051, 23959, 315, 81027, 813, 2911, 13, 358, 649, 6945, 33007, 445, 13, 13972, 5605, 420, 11, 539, 14594, 51016, 627, 1548, 323, 279, 18772, 54, 6157, 617, 912, 1314, 311, 6606, 1778, 1579, 27928, 13, 2435, 1051, 682, 1391, 6154, 304, 279, 77848, 11639, 11, 8104, 279, 18772, 54, 6157, 13, 578, 16483, 11, 6832, 2683, 433, 374, 311, 1505, 7493, 323, 3350, 922, 1124, 11, 17354, 13942, 279, 8706, 3446, 304, 10034, 369, 1664, 927, 264, 13515, 13, 2435, 8272, 1475, 7351, 315, 4488, 23778, 36631, 323, 91129, 328, 12252, 11, 323, 3010, 31858, 85126, 11, 323, 3686, 1766, 4400, 32427, 30, 2435, 1550, 912, 42200, 11, 814, 3287, 956, 1427, 369, 4205, 311, 1304, 6295, 7553, 323, 328, 12252, 1427, 3958, 627, 3112, 994, 1274, 1550, 64601, 477, 1486, 704, 279, 11295, 5376, 304, 92405, 11099, 11, 814, 1051, 27292, 439, 48364, 1233, 13, 1628, 1243, 16483, 15243, 922, 1268, 40069, 27653, 279, 5041, 574, 11, 323, 1268, 430, 574, 3339, 1124, 11722, 704, 315, 279, 6246, 520, 32677, 7969, 13, 1628, 279, 2944, 293, 75669, 1051, 77850, 574, 4245, 311, 6617, 4785, 86470, 12823, 323, 13128, 63130, 13, 7357, 10334, 3734, 369, 12079, 94853, 82, 574, 1511, 311, 10552, 279, 27873, 3392, 315, 92405, 11099, 1694, 4295, 627, 791, 18772, 54, 6157, 574, 690, 3725, 95861, 11, 323, 814, 13942, 279, 3446, 13, 4800, 11, 2533, 814, 7846, 956, 32151, 1521, 4311, 449, 4339, 11, 814, 2351, 75986, 1124, 449, 12973, 627, 11649, 433, 596, 2288, 3389, 13, 3639, 596, 2884, 374, 2884, 13, 1472, 1095, 420, 3621, 13, 2100, 1550, 279, 7980, 11, 779, 1550, 41217, 11, 779, 1550, 279, 41217, 8201, 11, 779, 1550, 279, 7359, 13, 1226, 682, 1095, 420, 3621, 11, 323, 584, 14333, 433, 13, 1628, 433, 649, 956, 387, 64800, 13, 4702, 1093, 64244, 649, 956, 387, 64800, 13, 2582, 279, 21137, 31717, 3538, 11639, 1603, 1949, 9266, 13, 2582, 279, 39123, 52443, 627, 32, 4333, 315, 10705, 14618, 704, 430, 279, 11166, 315, 39627, 374, 15871, 264, 24925, 315, 279, 1847, 596, 3925, 13, 578, 16483, 1390, 311, 18622, 279, 3925, 320, 8370, 814, 15453, 1550, 539, 3350, 922, 705, 323, 430, 596, 1120, 5076, 13, 578, 18772, 54, 6157, 1288, 7055, 369, 1274, 814, 1541, 956, 1093, 11, 7055, 369, 80122, 388, 449, 24569, 60187, 68441, 449, 473, 45776, 11, 7055, 369, 61650, 889, 11838, 872, 31133, 13, 1102, 2643, 13194, 279, 18772, 54, 6157, 311, 656, 779, 11, 719, 311, 12929, 14594, 51016, 11, 1884, 6691, 71574, 388, 1288, 7831, 369, 264, 1418, 13, 128001, 128000, 10614, 315, 68527, 6394, 16, 13, 4185, 631, 287, 477, 71513, 304, 264, 11827, 71707, 279, 1989, 315, 282, 63394, 627, 17, 13, 315, 81063, 198, 18, 13, 578, 1180, 315, 4857, 264, 25675, 627, 19, 13, 578, 24069, 315, 279, 70255, 2231, 709, 369, 3709, 11915, 477, 9313, 26, 439, 11, 279, 68527, 315, 264, 8961, 627, 20, 13, 578, 1989, 477, 6725, 315, 3440, 323, 9232, 449, 279, 20827, 11, 16948, 13, 449, 279, 2678, 80138, 13, 3580, 81063, 11, 348, 13, 602, 2637, 220, 17, 627, 21, 13, 578, 7384, 1511, 369, 4857, 70255, 627, 967, 18310, 320, 4581, 315, 8982, 25, 19120, 340, 62001, 320, 4581, 315, 8982, 25, 38021, 340, 60864, 4047, 11, 2624, 355, 11, 14284, 287, 11, 7463, 11, 59296, 11, 3958, 76, 7454, 11, 28051, 11, 36540, 11, 47550, 11, 31098, 12, 60202, 11, 77111, 3919, 11, 77167, 11, 14425, 24181, 11, 44979, 53456, 11, 46329, 11, 9141, 11, 96368, 11, 78885, 11, 22963, 11, 37099, 11, 65504, 11, 5438, 727, 11, 17676, 939, 28562, 11, 4224, 1982, 261, 11, 2007, 32515, 11, 3090, 78885, 11, 32515, 11, 20075, 11, 6689, 12, 631, 11, 59576, 11, 19665, 11, 1450, 4047, 198, 318, 652, 3416, 287, 320, 4581, 315, 8982, 25, 19120, 340, 10888, 66, 1386, 287, 11, 2389, 5859, 11, 51617, 11, 38955, 709, 11, 503, 14612, 11, 272, 4210, 11, 3242, 13900, 11, 77847, 2785, 11, 16872, 60485, 11, 33508, 287, 11, 7833, 27300, 287, 11, 46628, 1113, 11, 29319, 287, 11, 4631, 3329, 11, 80665, 287, 11, 31231, 63198, 11, 77390, 2785, 11, 82234, 198, 12, 3005, 1053, 617, 16365, 26, 369, 20941, 9084, 295, 1047, 15972, 1077, 682, 1364, 7020, 922, 279, 1989, 315, 68527, 13, 482, 330, 62786, 315, 10846, 650, 2910, 15564, 498, 68529, 26224, 627, 12, 578, 2199, 1070, 59723, 17045, 1461, 5115, 79045, 11, 323, 17582, 1766, 430, 568, 1047, 1690, 5128, 2697, 29862, 520, 68527, 13, 482, 330, 77771, 36443, 498, 622, 13, 23074, 4584, 6540, 71195, 627, 12, 61814, 455, 265, 11, 889, 1047, 1027, 11, 24059, 1023, 2574, 11, 264, 27202, 11, 1047, 15972, 757, 68527, 13, 482, 330, 12331, 648, 498, 20643, 23804, 8148, 13, 128001, 128000, 49552, 31376, 5029, 12823, 198, 2028, 3575, 4261, 1253, 387, 1524, 8294, 1606, 25, 320, 16, 8, 1063, 5029, 11527, 4510, 430, 279, 7524, 2134, 369, 735, 6830, 81, 3250, 956, 3240, 3156, 922, 220, 3443, 11, 931, 13835, 11, 323, 320, 17, 8, 1690, 315, 279, 9191, 81473, 527, 1766, 520, 6732, 430, 6996, 279, 67164, 23902, 5995, 369, 735, 6830, 81, 5029, 323, 16472, 4250, 387, 30105, 555, 420, 1749, 520, 682, 627, 16179, 3995, 86187, 9886, 1705, 8815, 279, 57008, 315, 682, 315, 279, 13003, 12457, 555, 279, 1317, 9860, 12164, 24264, 5528, 11, 1524, 15740, 1705, 527, 7314, 311, 17113, 430, 420, 5029, 13225, 18911, 264, 3575, 369, 1124, 627, 59552, 38480, 315, 3823, 15740, 1501, 264, 4856, 11113, 9320, 315, 81473, 6522, 311, 6617, 12966, 627, 35212, 3294, 7634, 15748, 18651, 5304, 81473, 1511, 311, 1862, 433, 627, 32, 31376, 304, 459, 41993, 8668, 2011, 617, 2225, 279, 6300, 79612, 320, 12510, 8, 311, 5052, 430, 8668, 323, 459, 8475, 2457, 311, 9541, 1202, 2361, 304, 430, 8668, 13, 128001 ]
[ -100, 8140, 21142, 18784, 430, 904, 6020, 323, 23541, 23104, 27070, 389, 62866, 52547, 2532, 12850, 304, 48513, 6505, 1396, 2700, 287, 4868, 11193, 690, 387, 63074, 291, 555, 279, 1317, 9860, 11761, 7095, 7720, 12886, 555, 13241, 4868, 11193, 627, 53463, 291, 9764, 12621, 1288, 387, 264, 1670, 29672, 389, 62866, 12850, 311, 5471, 54983, 1396, 2700, 287, 627, 11874, 75197, 17066, 1288, 387, 1511, 304, 14765, 315, 2700, 287, 315, 6505, 5219, 11, 719, 1005, 315, 31009, 6743, 374, 539, 264, 40044, 9966, 17066, 1920, 311, 5471, 54983, 6505, 1396, 2700, 287, 13, 1226, 12090, 1023, 810, 9966, 2671, 627, 1453, 8478, 31086, 369, 54443, 389, 2225, 279, 13490, 323, 30240, 52547, 2532, 12850, 482, 369, 3187, 11, 35018, 482, 304, 5157, 1405, 47999, 17066, 11618, 617, 539, 1027, 8272, 1053, 1180, 439, 264, 83720, 311, 74830, 9764, 23751, 12659, 627, 18876, 52547, 2532, 12850, 1288, 539, 6900, 264, 11307, 311, 264, 6130, 369, 279, 9954, 315, 459, 5217, 9764, 23751, 1920, 627, 78006, 2532, 12850, 1288, 387, 2631, 311, 39170, 6444, 922, 279, 4754, 37064, 315, 54983, 6505, 1396, 2700, 287, 323, 279, 12939, 315, 36051, 287, 311, 6220, 17066, 323, 4868, 12659, 627, 128001, -100, 15777, 198, 2471, 676, 1952, 78, 358, 998, 8111, 520, 6763, 1567, 369, 1077, 6685, 2363, 364, 90259, 1270, 1966, 6250, 220, 23, 11, 24577, 1952, 78, 358, 998, 320, 1114, 8, 9922, 520, 264, 42317, 63465, 6763, 1567, 520, 279, 96437, 45644, 9046, 315, 426, 70305, 6132, 304, 27286, 369, 1077, 6685, 2363, 1054, 90259, 49216, 791, 7397, 1051, 4529, 304, 64328, 11, 24922, 13, 6385, 7075, 7397, 527, 279, 3185, 15300, 315, 1077, 3663, 323, 1364, 31645, 10437, 398, 439, 1364, 11224, 11, 1054, 5159, 3185, 5643, 374, 5128, 93, 13, 358, 2744, 617, 264, 7155, 7645, 11, 719, 369, 420, 2363, 11, 358, 31645, 264, 2763, 49216, 8100, 12570, 37875, 922, 1077, 81736, 3159, 15300, 11, 1054, 2181, 574, 45105, 11, 719, 358, 1097, 6380, 430, 279, 7397, 3782, 704, 32719, 2476, 323, 6688, 459, 29859, 15648, 439, 1364, 1071, 11, 1054, 5159, 4885, 1053, 2019, 364, 9210, 596, 1554, 332, 1919, 93, 6, 510, 9493, 814, 1766, 704, 25750, 89874, 3692, 323, 4758, 25, 15089, 5481, 198, 3947, 527, 220, 15, 6170, 128001, -100, 44893, 835, 54695, 1372, 198, 2170, 6918, 26969, 1139, 12079, 5708, 12789, 3136, 11, 279, 14160, 12800, 3116, 1274, 505, 1948, 13312, 5220, 304, 3717, 449, 55465, 11380, 389, 7950, 13, 578, 8163, 5633, 25, 7957, 47790, 819, 1543, 11, 459, 11145, 369, 26150, 8121, 8483, 26, 4488, 21353, 5843, 11015, 315, 25300, 26, 33305, 54585, 9186, 315, 27233, 35785, 1233, 7327, 12604, 26, 323, 2418, 437, 4317, 13528, 359, 266, 321, 13637, 315, 29389, 79534, 42177, 3623, 13, 362, 18172, 11, 15469, 73696, 461, 315, 39424, 11, 574, 8767, 12800, 323, 706, 40001, 16390, 13, 330, 32, 22681, 4009, 315, 77814, 520, 1063, 315, 279, 1917, 753, 6522, 5557, 5220, 10434, 439, 779, 19434, 50184, 889, 6216, 704, 872, 23234, 555, 39098, 323, 1243, 10696, 61416, 872, 15525, 4871, 2038, 1359, 1071, 279, 549, 815, 13, 14065, 304, 6900, 315, 279, 1162, 13, 578, 11879, 311, 279, 38811, 6137, 304, 3389, 6841, 11, 994, 459, 9548, 520, 459, 26012, 9650, 7626, 34947, 47361, 2038, 922, 279, 5557, 5220, 311, 264, 42766, 3887, 82589, 449, 11527, 13, 128001, -100, 3011, 574, 20075, 520, 1202, 1455, 20075, 1918, 13985, 13, 4702, 617, 264, 3577, 10017, 323, 387, 2884, 449, 433, 627, 7184, 311, 279, 13339, 315, 279, 10430, 13, 2360, 2851, 574, 16626, 1139, 279, 11166, 315, 39627, 555, 279, 73870, 788, 18772, 54, 6157, 320, 4066, 4047, 59798, 6, 10229, 315, 5270, 570, 362, 25478, 1414, 449, 220, 24376, 23096, 82, 11, 220, 20998, 62566, 11, 323, 220, 22, 32966, 82, 4036, 220, 1927, 13, 17, 4, 315, 279, 7055, 13, 362, 42070, 449, 220, 18384, 15160, 323, 220, 22, 18221, 13566, 82, 4036, 1193, 220, 1987, 13, 23, 4, 8595, 30, 9393, 315, 94853, 82, 627, 1628, 358, 649, 956, 3868, 311, 94986, 29607, 46268, 729, 596, 32079, 779, 358, 649, 3821, 433, 1578, 323, 1578, 11, 323, 617, 264, 43560, 273, 30194, 358, 1390, 13, 2030, 1521, 7752, 1051, 2646, 10791, 11, 2646, 23959, 11, 323, 814, 1051, 27860, 1695, 4311, 1524, 1603, 279, 4461, 1212, 315, 872, 94853, 25492, 13, 85126, 2834, 279, 32966, 220, 18, 3115, 505, 220, 2550, 15, 311, 220, 2550, 18, 13, 46268, 729, 2834, 220, 18, 315, 813, 18221, 13566, 82, 304, 10406, 627, 4071, 912, 11, 304, 420, 4360, 2539, 315, 20366, 3158, 323, 6485, 4860, 11, 279, 18772, 54, 6157, 706, 4529, 264, 4382, 3776, 323, 4251, 30031, 13, 53306, 14222, 28, 8890, 3036, 13, 7570, 1694, 23712, 555, 32427, 4311, 3445, 499, 2351, 16390, 13, 4452, 279, 18772, 54, 6157, 4536, 956, 3411, 369, 12437, 13, 2435, 5042, 1390, 311, 32151, 279, 4311, 889, 21699, 279, 41919, 430, 20075, 374, 2555, 3361, 11, 2555, 10748, 13, 1115, 374, 922, 72788, 627, 10944, 1440, 1063, 61650, 11838, 872, 5737, 31133, 11, 584, 1440, 1063, 1274, 4295, 279, 5041, 43726, 1131, 1884, 6691, 71574, 388, 1288, 7831, 369, 264, 1418, 10246, 9642, 11, 14594, 51016, 3604, 1071, 430, 627, 50, 2084, 30, 21720, 71574, 388, 30, 4314, 5222, 1093, 279, 4339, 315, 4423, 1694, 30147, 4994, 264, 7301, 4783, 11, 1306, 1063, 86419, 1051, 23959, 315, 81027, 813, 2911, 13, 358, 649, 6945, 33007, 445, 13, 13972, 5605, 420, 11, 539, 14594, 51016, 627, 1548, 323, 279, 18772, 54, 6157, 617, 912, 1314, 311, 6606, 1778, 1579, 27928, 13, 2435, 1051, 682, 1391, 6154, 304, 279, 77848, 11639, 11, 8104, 279, 18772, 54, 6157, 13, 578, 16483, 11, 6832, 2683, 433, 374, 311, 1505, 7493, 323, 3350, 922, 1124, 11, 17354, 13942, 279, 8706, 3446, 304, 10034, 369, 1664, 927, 264, 13515, 13, 2435, 8272, 1475, 7351, 315, 4488, 23778, 36631, 323, 91129, 328, 12252, 11, 323, 3010, 31858, 85126, 11, 323, 3686, 1766, 4400, 32427, 30, 2435, 1550, 912, 42200, 11, 814, 3287, 956, 1427, 369, 4205, 311, 1304, 6295, 7553, 323, 328, 12252, 1427, 3958, 627, 3112, 994, 1274, 1550, 64601, 477, 1486, 704, 279, 11295, 5376, 304, 92405, 11099, 11, 814, 1051, 27292, 439, 48364, 1233, 13, 1628, 1243, 16483, 15243, 922, 1268, 40069, 27653, 279, 5041, 574, 11, 323, 1268, 430, 574, 3339, 1124, 11722, 704, 315, 279, 6246, 520, 32677, 7969, 13, 1628, 279, 2944, 293, 75669, 1051, 77850, 574, 4245, 311, 6617, 4785, 86470, 12823, 323, 13128, 63130, 13, 7357, 10334, 3734, 369, 12079, 94853, 82, 574, 1511, 311, 10552, 279, 27873, 3392, 315, 92405, 11099, 1694, 4295, 627, 791, 18772, 54, 6157, 574, 690, 3725, 95861, 11, 323, 814, 13942, 279, 3446, 13, 4800, 11, 2533, 814, 7846, 956, 32151, 1521, 4311, 449, 4339, 11, 814, 2351, 75986, 1124, 449, 12973, 627, 11649, 433, 596, 2288, 3389, 13, 3639, 596, 2884, 374, 2884, 13, 1472, 1095, 420, 3621, 13, 2100, 1550, 279, 7980, 11, 779, 1550, 41217, 11, 779, 1550, 279, 41217, 8201, 11, 779, 1550, 279, 7359, 13, 1226, 682, 1095, 420, 3621, 11, 323, 584, 14333, 433, 13, 1628, 433, 649, 956, 387, 64800, 13, 4702, 1093, 64244, 649, 956, 387, 64800, 13, 2582, 279, 21137, 31717, 3538, 11639, 1603, 1949, 9266, 13, 2582, 279, 39123, 52443, 627, 32, 4333, 315, 10705, 14618, 704, 430, 279, 11166, 315, 39627, 374, 15871, 264, 24925, 315, 279, 1847, 596, 3925, 13, 578, 16483, 1390, 311, 18622, 279, 3925, 320, 8370, 814, 15453, 1550, 539, 3350, 922, 705, 323, 430, 596, 1120, 5076, 13, 578, 18772, 54, 6157, 1288, 7055, 369, 1274, 814, 1541, 956, 1093, 11, 7055, 369, 80122, 388, 449, 24569, 60187, 68441, 449, 473, 45776, 11, 7055, 369, 61650, 889, 11838, 872, 31133, 13, 1102, 2643, 13194, 279, 18772, 54, 6157, 311, 656, 779, 11, 719, 311, 12929, 14594, 51016, 11, 1884, 6691, 71574, 388, 1288, 7831, 369, 264, 1418, 13, 128001, -100, 10614, 315, 68527, 6394, 16, 13, 4185, 631, 287, 477, 71513, 304, 264, 11827, 71707, 279, 1989, 315, 282, 63394, 627, 17, 13, 315, 81063, 198, 18, 13, 578, 1180, 315, 4857, 264, 25675, 627, 19, 13, 578, 24069, 315, 279, 70255, 2231, 709, 369, 3709, 11915, 477, 9313, 26, 439, 11, 279, 68527, 315, 264, 8961, 627, 20, 13, 578, 1989, 477, 6725, 315, 3440, 323, 9232, 449, 279, 20827, 11, 16948, 13, 449, 279, 2678, 80138, 13, 3580, 81063, 11, 348, 13, 602, 2637, 220, 17, 627, 21, 13, 578, 7384, 1511, 369, 4857, 70255, 627, 967, 18310, 320, 4581, 315, 8982, 25, 19120, 340, 62001, 320, 4581, 315, 8982, 25, 38021, 340, 60864, 4047, 11, 2624, 355, 11, 14284, 287, 11, 7463, 11, 59296, 11, 3958, 76, 7454, 11, 28051, 11, 36540, 11, 47550, 11, 31098, 12, 60202, 11, 77111, 3919, 11, 77167, 11, 14425, 24181, 11, 44979, 53456, 11, 46329, 11, 9141, 11, 96368, 11, 78885, 11, 22963, 11, 37099, 11, 65504, 11, 5438, 727, 11, 17676, 939, 28562, 11, 4224, 1982, 261, 11, 2007, 32515, 11, 3090, 78885, 11, 32515, 11, 20075, 11, 6689, 12, 631, 11, 59576, 11, 19665, 11, 1450, 4047, 198, 318, 652, 3416, 287, 320, 4581, 315, 8982, 25, 19120, 340, 10888, 66, 1386, 287, 11, 2389, 5859, 11, 51617, 11, 38955, 709, 11, 503, 14612, 11, 272, 4210, 11, 3242, 13900, 11, 77847, 2785, 11, 16872, 60485, 11, 33508, 287, 11, 7833, 27300, 287, 11, 46628, 1113, 11, 29319, 287, 11, 4631, 3329, 11, 80665, 287, 11, 31231, 63198, 11, 77390, 2785, 11, 82234, 198, 12, 3005, 1053, 617, 16365, 26, 369, 20941, 9084, 295, 1047, 15972, 1077, 682, 1364, 7020, 922, 279, 1989, 315, 68527, 13, 482, 330, 62786, 315, 10846, 650, 2910, 15564, 498, 68529, 26224, 627, 12, 578, 2199, 1070, 59723, 17045, 1461, 5115, 79045, 11, 323, 17582, 1766, 430, 568, 1047, 1690, 5128, 2697, 29862, 520, 68527, 13, 482, 330, 77771, 36443, 498, 622, 13, 23074, 4584, 6540, 71195, 627, 12, 61814, 455, 265, 11, 889, 1047, 1027, 11, 24059, 1023, 2574, 11, 264, 27202, 11, 1047, 15972, 757, 68527, 13, 482, 330, 12331, 648, 498, 20643, 23804, 8148, 13, 128001, -100, 49552, 31376, 5029, 12823, 198, 2028, 3575, 4261, 1253, 387, 1524, 8294, 1606, 25, 320, 16, 8, 1063, 5029, 11527, 4510, 430, 279, 7524, 2134, 369, 735, 6830, 81, 3250, 956, 3240, 3156, 922, 220, 3443, 11, 931, 13835, 11, 323, 320, 17, 8, 1690, 315, 279, 9191, 81473, 527, 1766, 520, 6732, 430, 6996, 279, 67164, 23902, 5995, 369, 735, 6830, 81, 5029, 323, 16472, 4250, 387, 30105, 555, 420, 1749, 520, 682, 627, 16179, 3995, 86187, 9886, 1705, 8815, 279, 57008, 315, 682, 315, 279, 13003, 12457, 555, 279, 1317, 9860, 12164, 24264, 5528, 11, 1524, 15740, 1705, 527, 7314, 311, 17113, 430, 420, 5029, 13225, 18911, 264, 3575, 369, 1124, 627, 59552, 38480, 315, 3823, 15740, 1501, 264, 4856, 11113, 9320, 315, 81473, 6522, 311, 6617, 12966, 627, 35212, 3294, 7634, 15748, 18651, 5304, 81473, 1511, 311, 1862, 433, 627, 32, 31376, 304, 459, 41993, 8668, 2011, 617, 2225, 279, 6300, 79612, 320, 12510, 8, 311, 5052, 430, 8668, 323, 459, 8475, 2457, 311, 9541, 1202, 2361, 304, 430, 8668, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175 ]
[ 128000, 83896, 279, 17764, 5548, 315, 53958, 11, 63566, 13077, 527, 9200, 311, 99139, 810, 1109, 832, 19641, 304, 264, 1060, 13, 12220, 279, 1176, 3116, 11026, 315, 24589, 11, 6890, 7543, 922, 19766, 13, 220, 1774, 11, 931, 14425, 417, 389, 63566, 13, 578, 5578, 2853, 824, 6520, 13, 315, 4754, 3549, 706, 7319, 32366, 398, 2391, 420, 18852, 505, 922, 19766, 13, 220, 16, 11, 2636, 2391, 279, 1176, 3197, 311, 19766, 13, 220, 1135, 11, 931, 2391, 279, 31487, 3197, 13, 320, 3692, 551, 18582, 5484, 18524, 315, 7904, 37963, 11, 220, 2550, 22, 340, 5733, 309, 706, 44611, 323, 13365, 5795, 5015, 3090, 4754, 13, 3314, 10423, 45777, 4147, 11191, 63566, 12764, 449, 279, 7434, 315, 44581, 5382, 79141, 18413, 9744, 13, 578, 3544, 13365, 5795, 5015, 3090, 5070, 422, 49523, 25228, 3210, 649, 3493, 264, 8147, 41963, 2025, 369, 29759, 6650, 315, 29149, 26206, 13, 38130, 40761, 315, 5015, 3090, 5070, 690, 1520, 311, 320, 72, 8, 3493, 3090, 520, 9200, 3115, 323, 8108, 3090, 8558, 304, 63857, 15956, 323, 320, 3893, 8, 5376, 279, 18539, 315, 63566, 304, 9235, 3280, 28592, 15718, 439, 264, 5505, 5507, 369, 3090, 6373, 13, 79141, 18413, 12764, 374, 16595, 1205, 369, 7474, 20228, 52129, 304, 2755, 309, 627, 64693, 18488, 304, 279, 3158, 315, 63566, 1555, 6201, 6807, 706, 1027, 82802, 304, 279, 3314, 4245, 311, 264, 68706, 315, 5435, 75867, 279, 19624, 6807, 1887, 48850, 2637, 671, 1065, 14991, 13654, 315, 6201, 17017, 11, 711, 20526, 1317, 4751, 1080, 90093, 6807, 1887, 11, 27129, 304, 19546, 4363, 21515, 369, 6201, 17017, 5099, 13, 3161, 264, 1684, 311, 7417, 279, 5788, 323, 26206, 315, 279, 2115, 31665, 11, 810, 8104, 315, 7474, 20228, 11, 279, 3314, 10423, 11, 304, 1080, 12, 99344, 449, 452, 1905, 7527, 11, 1047, 11887, 264, 2447, 2663, 330, 24903, 1907, 4317, 62064, 587, 816, 21963, 3444, 1, 320, 16074, 41, 8, 42418, 220, 16, 63273, 4015, 75833, 1053, 387, 10487, 304, 279, 1614, 449, 264, 2860, 6020, 704, 6789, 315, 19766, 13, 220, 9870, 14425, 417, 323, 11941, 3777, 315, 19766, 13, 220, 10350, 45843, 1234, 28426, 37, 650, 13, 82445, 63566, 1555, 3428, 2853, 14726, 649, 28696, 23053, 1005, 315, 64352, 53, 11, 36214, 62380, 323, 1023, 26390, 315, 6617, 5557, 902, 527, 13524, 5569, 21277, 323, 5505, 369, 2678, 20957, 13, 1115, 5016, 2447, 574, 74344, 311, 10423, 315, 2755, 309, 555, 452, 1905, 7527, 439, 264, 1633, 3361, 1162, 10494, 304, 1684, 279, 34771, 63566, 3966, 315, 279, 1614, 13, 578, 2447, 85775, 3359, 6968, 5217, 220, 17, 63273, 6520, 315, 53105, 660, 3158, 304, 279, 220, 972, 27536, 315, 279, 1614, 2949, 264, 4261, 315, 2380, 1667, 323, 13240, 5376, 304, 279, 100037, 21261, 505, 220, 8899, 4, 311, 220, 14205, 126437, 1271, 49806, 29149, 5788, 304, 279, 1614, 449, 4500, 315, 63566, 13077, 627, 2059, 7331, 30124, 37958, 1234, 10423, 13155, 315, 3861, 445, 22506, 30124, 8489, 2447, 627, 9207, 315, 8771, 9744, 69017, 320, 37, 11865, 82, 8, 304, 14028, 315, 4015, 75833, 198, 791, 4371, 1188, 4668, 315, 279, 18629, 374, 430, 1274, 596, 20852, 706, 1027, 27979, 304, 279, 8292, 1555, 1274, 596, 14673, 3967, 439, 279, 8771, 9744, 69017, 320, 37, 11865, 82, 570, 435, 11865, 374, 14458, 3196, 2547, 9879, 449, 279, 6011, 315, 37963, 323, 17610, 315, 3927, 20957, 449, 16250, 29865, 505, 220, 1135, 311, 220, 3443, 627, 37950, 315, 4015, 75833, 5907, 198, 12, 578, 1176, 10474, 315, 14028, 315, 220, 3101, 410, 4015, 75833, 574, 11887, 304, 220, 2550, 24, 323, 279, 3314, 10423, 26953, 8308, 279, 8292, 315, 420, 11191, 18629, 449, 1790, 10819, 18338, 8469, 315, 279, 9899, 304, 264, 2875, 4261, 315, 264, 1060, 902, 5196, 374, 264, 3335, 13, 763, 279, 2132, 10474, 315, 220, 7007, 410, 4015, 75833, 11, 279, 10423, 315, 2755, 309, 1047, 10487, 220, 21741, 410, 4015, 75833, 13, 1666, 824, 279, 3109, 8336, 11, 279, 2447, 706, 1027, 8308, 449, 264, 2860, 4015, 54, 14028, 520, 220, 19146, 410, 627, 12, 2684, 706, 1027, 5199, 5376, 304, 279, 5788, 315, 7474, 281, 23290, 320, 1820, 2860, 5788, 315, 20228, 304, 279, 1614, 706, 7319, 505, 220, 1644, 13, 1591, 63273, 386, 844, 13, 304, 220, 2550, 21, 12, 3534, 311, 220, 1987, 13, 1135, 63273, 386, 844, 13, 304, 220, 2550, 24, 12, 1049, 15, 570, 578, 26206, 315, 20228, 706, 1101, 12715, 459, 5376, 505, 220, 9423, 21, 21647, 14, 4317, 304, 220, 2550, 21, 12, 3534, 311, 220, 10288, 24, 21647, 14, 4317, 304, 220, 2550, 24, 12, 1049, 15, 627, 12, 5832, 291, 304, 6928, 2349, 304, 100037, 5497, 11, 17219, 315, 502, 31665, 320, 86, 20559, 11, 39834, 5099, 25390, 40774, 311, 5361, 100037, 320, 49, 26140, 323, 7474, 100037, 4390, 12, 63422, 304, 279, 2447, 3158, 527, 32931, 505, 8776, 5528, 311, 12624, 1749, 315, 52129, 627, 12, 25611, 10964, 21261, 7319, 505, 220, 8899, 4, 311, 220, 14205, 4, 304, 1772, 4500, 10474, 13, 578, 20957, 889, 1051, 305, 411, 14200, 37960, 3252, 304, 40774, 19641, 52129, 527, 1457, 28865, 927, 311, 7447, 100037, 5497, 627, 12, 10164, 7969, 527, 1694, 11684, 555, 279, 435, 11865, 82, 505, 1202, 3697, 369, 42386, 279, 2853, 315, 10565, 18512, 8051, 539, 18702, 279, 6900, 7119, 94189, 477, 13709, 315, 279, 14726, 627, 12, 578, 8070, 315, 20957, 617, 44029, 8208, 709, 311, 11157, 21071, 23994, 315, 872, 864, 34796, 8070, 11, 8994, 3428, 3157, 7729, 323, 5376, 304, 2853, 315, 11374, 304, 3738, 27536, 627, 8006, 374, 459, 3187, 315, 5293, 5382, 63566, 6373, 304, 63566, 11545, 28858, 11821, 279, 2853, 315, 63566, 14726, 449, 279, 3314, 10423, 627, 7283, 527, 29820, 7119, 279, 25605, 7194, 315, 279, 31956, 13, 128001, 128000, 3947, 527, 4330, 4819, 315, 279, 8571, 89, 483, 578, 468, 820, 43443, 320, 32, 10139, 315, 11197, 2987, 570, 2435, 1051, 4756, 555, 279, 330, 54, 820, 21324, 40732, 48079, 13581, 1, 304, 10517, 69056, 11, 7432, 2637, 449, 26241, 44365, 68564, 439, 16958, 7746, 27390, 320, 258, 28310, 689, 570, 578, 6576, 315, 578, 468, 820, 43443, 574, 45568, 622, 13, 432, 21493, 13, 578, 8571, 89, 483, 5727, 4113, 17422, 323, 1101, 9908, 922, 279, 468, 820, 21324, 12517, 627, 2520, 810, 2038, 922, 468, 820, 21324, 1518, 279, 13335, 389, 279, 2199, 26496, 627, 975, 6959, 482, 3504, 555, 30534, 432, 13, 432, 21493, 627, 845, 6959, 482, 3504, 555, 36194, 47783, 612, 30534, 432, 21493, 627, 38537, 315, 66080, 37, 520, 813, 3666, 73580, 23712, 555, 279, 468, 820, 43443, 5885, 13, 38859, 555, 432, 21493, 627, 508, 6959, 482, 3504, 555, 24785, 44632, 1221, 74, 3817, 627, 128001 ]
[ -100, 83896, 279, 17764, 5548, 315, 53958, 11, 63566, 13077, 527, 9200, 311, 99139, 810, 1109, 832, 19641, 304, 264, 1060, 13, 12220, 279, 1176, 3116, 11026, 315, 24589, 11, 6890, 7543, 922, 19766, 13, 220, 1774, 11, 931, 14425, 417, 389, 63566, 13, 578, 5578, 2853, 824, 6520, 13, 315, 4754, 3549, 706, 7319, 32366, 398, 2391, 420, 18852, 505, 922, 19766, 13, 220, 16, 11, 2636, 2391, 279, 1176, 3197, 311, 19766, 13, 220, 1135, 11, 931, 2391, 279, 31487, 3197, 13, 320, 3692, 551, 18582, 5484, 18524, 315, 7904, 37963, 11, 220, 2550, 22, 340, 5733, 309, 706, 44611, 323, 13365, 5795, 5015, 3090, 4754, 13, 3314, 10423, 45777, 4147, 11191, 63566, 12764, 449, 279, 7434, 315, 44581, 5382, 79141, 18413, 9744, 13, 578, 3544, 13365, 5795, 5015, 3090, 5070, 422, 49523, 25228, 3210, 649, 3493, 264, 8147, 41963, 2025, 369, 29759, 6650, 315, 29149, 26206, 13, 38130, 40761, 315, 5015, 3090, 5070, 690, 1520, 311, 320, 72, 8, 3493, 3090, 520, 9200, 3115, 323, 8108, 3090, 8558, 304, 63857, 15956, 323, 320, 3893, 8, 5376, 279, 18539, 315, 63566, 304, 9235, 3280, 28592, 15718, 439, 264, 5505, 5507, 369, 3090, 6373, 13, 79141, 18413, 12764, 374, 16595, 1205, 369, 7474, 20228, 52129, 304, 2755, 309, 627, 64693, 18488, 304, 279, 3158, 315, 63566, 1555, 6201, 6807, 706, 1027, 82802, 304, 279, 3314, 4245, 311, 264, 68706, 315, 5435, 75867, 279, 19624, 6807, 1887, 48850, 2637, 671, 1065, 14991, 13654, 315, 6201, 17017, 11, 711, 20526, 1317, 4751, 1080, 90093, 6807, 1887, 11, 27129, 304, 19546, 4363, 21515, 369, 6201, 17017, 5099, 13, 3161, 264, 1684, 311, 7417, 279, 5788, 323, 26206, 315, 279, 2115, 31665, 11, 810, 8104, 315, 7474, 20228, 11, 279, 3314, 10423, 11, 304, 1080, 12, 99344, 449, 452, 1905, 7527, 11, 1047, 11887, 264, 2447, 2663, 330, 24903, 1907, 4317, 62064, 587, 816, 21963, 3444, 1, 320, 16074, 41, 8, 42418, 220, 16, 63273, 4015, 75833, 1053, 387, 10487, 304, 279, 1614, 449, 264, 2860, 6020, 704, 6789, 315, 19766, 13, 220, 9870, 14425, 417, 323, 11941, 3777, 315, 19766, 13, 220, 10350, 45843, 1234, 28426, 37, 650, 13, 82445, 63566, 1555, 3428, 2853, 14726, 649, 28696, 23053, 1005, 315, 64352, 53, 11, 36214, 62380, 323, 1023, 26390, 315, 6617, 5557, 902, 527, 13524, 5569, 21277, 323, 5505, 369, 2678, 20957, 13, 1115, 5016, 2447, 574, 74344, 311, 10423, 315, 2755, 309, 555, 452, 1905, 7527, 439, 264, 1633, 3361, 1162, 10494, 304, 1684, 279, 34771, 63566, 3966, 315, 279, 1614, 13, 578, 2447, 85775, 3359, 6968, 5217, 220, 17, 63273, 6520, 315, 53105, 660, 3158, 304, 279, 220, 972, 27536, 315, 279, 1614, 2949, 264, 4261, 315, 2380, 1667, 323, 13240, 5376, 304, 279, 100037, 21261, 505, 220, 8899, 4, 311, 220, 14205, 126437, 1271, 49806, 29149, 5788, 304, 279, 1614, 449, 4500, 315, 63566, 13077, 627, 2059, 7331, 30124, 37958, 1234, 10423, 13155, 315, 3861, 445, 22506, 30124, 8489, 2447, 627, 9207, 315, 8771, 9744, 69017, 320, 37, 11865, 82, 8, 304, 14028, 315, 4015, 75833, 198, 791, 4371, 1188, 4668, 315, 279, 18629, 374, 430, 1274, 596, 20852, 706, 1027, 27979, 304, 279, 8292, 1555, 1274, 596, 14673, 3967, 439, 279, 8771, 9744, 69017, 320, 37, 11865, 82, 570, 435, 11865, 374, 14458, 3196, 2547, 9879, 449, 279, 6011, 315, 37963, 323, 17610, 315, 3927, 20957, 449, 16250, 29865, 505, 220, 1135, 311, 220, 3443, 627, 37950, 315, 4015, 75833, 5907, 198, 12, 578, 1176, 10474, 315, 14028, 315, 220, 3101, 410, 4015, 75833, 574, 11887, 304, 220, 2550, 24, 323, 279, 3314, 10423, 26953, 8308, 279, 8292, 315, 420, 11191, 18629, 449, 1790, 10819, 18338, 8469, 315, 279, 9899, 304, 264, 2875, 4261, 315, 264, 1060, 902, 5196, 374, 264, 3335, 13, 763, 279, 2132, 10474, 315, 220, 7007, 410, 4015, 75833, 11, 279, 10423, 315, 2755, 309, 1047, 10487, 220, 21741, 410, 4015, 75833, 13, 1666, 824, 279, 3109, 8336, 11, 279, 2447, 706, 1027, 8308, 449, 264, 2860, 4015, 54, 14028, 520, 220, 19146, 410, 627, 12, 2684, 706, 1027, 5199, 5376, 304, 279, 5788, 315, 7474, 281, 23290, 320, 1820, 2860, 5788, 315, 20228, 304, 279, 1614, 706, 7319, 505, 220, 1644, 13, 1591, 63273, 386, 844, 13, 304, 220, 2550, 21, 12, 3534, 311, 220, 1987, 13, 1135, 63273, 386, 844, 13, 304, 220, 2550, 24, 12, 1049, 15, 570, 578, 26206, 315, 20228, 706, 1101, 12715, 459, 5376, 505, 220, 9423, 21, 21647, 14, 4317, 304, 220, 2550, 21, 12, 3534, 311, 220, 10288, 24, 21647, 14, 4317, 304, 220, 2550, 24, 12, 1049, 15, 627, 12, 5832, 291, 304, 6928, 2349, 304, 100037, 5497, 11, 17219, 315, 502, 31665, 320, 86, 20559, 11, 39834, 5099, 25390, 40774, 311, 5361, 100037, 320, 49, 26140, 323, 7474, 100037, 4390, 12, 63422, 304, 279, 2447, 3158, 527, 32931, 505, 8776, 5528, 311, 12624, 1749, 315, 52129, 627, 12, 25611, 10964, 21261, 7319, 505, 220, 8899, 4, 311, 220, 14205, 4, 304, 1772, 4500, 10474, 13, 578, 20957, 889, 1051, 305, 411, 14200, 37960, 3252, 304, 40774, 19641, 52129, 527, 1457, 28865, 927, 311, 7447, 100037, 5497, 627, 12, 10164, 7969, 527, 1694, 11684, 555, 279, 435, 11865, 82, 505, 1202, 3697, 369, 42386, 279, 2853, 315, 10565, 18512, 8051, 539, 18702, 279, 6900, 7119, 94189, 477, 13709, 315, 279, 14726, 627, 12, 578, 8070, 315, 20957, 617, 44029, 8208, 709, 311, 11157, 21071, 23994, 315, 872, 864, 34796, 8070, 11, 8994, 3428, 3157, 7729, 323, 5376, 304, 2853, 315, 11374, 304, 3738, 27536, 627, 8006, 374, 459, 3187, 315, 5293, 5382, 63566, 6373, 304, 63566, 11545, 28858, 11821, 279, 2853, 315, 63566, 14726, 449, 279, 3314, 10423, 627, 7283, 527, 29820, 7119, 279, 25605, 7194, 315, 279, 31956, 13, 128001, -100, 3947, 527, 4330, 4819, 315, 279, 8571, 89, 483, 578, 468, 820, 43443, 320, 32, 10139, 315, 11197, 2987, 570, 2435, 1051, 4756, 555, 279, 330, 54, 820, 21324, 40732, 48079, 13581, 1, 304, 10517, 69056, 11, 7432, 2637, 449, 26241, 44365, 68564, 439, 16958, 7746, 27390, 320, 258, 28310, 689, 570, 578, 6576, 315, 578, 468, 820, 43443, 574, 45568, 622, 13, 432, 21493, 13, 578, 8571, 89, 483, 5727, 4113, 17422, 323, 1101, 9908, 922, 279, 468, 820, 21324, 12517, 627, 2520, 810, 2038, 922, 468, 820, 21324, 1518, 279, 13335, 389, 279, 2199, 26496, 627, 975, 6959, 482, 3504, 555, 30534, 432, 13, 432, 21493, 627, 845, 6959, 482, 3504, 555, 36194, 47783, 612, 30534, 432, 21493, 627, 38537, 315, 66080, 37, 520, 813, 3666, 73580, 23712, 555, 279, 468, 820, 43443, 5885, 13, 38859, 555, 432, 21493, 627, 508, 6959, 482, 3504, 555, 24785, 44632, 1221, 74, 3817, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154 ]
[ 128000, 16328, 220, 24380, 24, 25, 59776, 315, 264, 11775, 31206, 16628, 11, 17550, 555, 6344, 630, 258, 11, 1990, 17659, 9572, 323, 4251, 30366, 974, 20438, 84360, 12170, 271, 791, 4251, 30366, 974, 20438, 320, 54, 835, 8, 5727, 264, 19504, 7187, 315, 84360, 12170, 449, 11083, 20345, 1631, 278, 12, 477, 93329, 59544, 12970, 82423, 11, 3025, 311, 12192, 17659, 9572, 320, 5002, 8, 33824, 320, 46, 2827, 331, 19350, 1880, 453, 2637, 220, 679, 18, 570, 1226, 6051, 32971, 264, 11775, 31206, 8183, 30456, 279, 16628, 1990, 18531, 323, 468, 835, 84360, 12170, 11, 11000, 26073, 279, 24279, 315, 264, 9572, 75968, 82423, 555, 468, 835, 84360, 1960, 7917, 323, 279, 21967, 315, 264, 824, 58028, 36254, 8162, 24175, 13, 19722, 79413, 37, 8335, 574, 11054, 311, 387, 279, 12717, 40704, 315, 279, 46940, 278, 73681, 31965, 304, 468, 835, 84360, 12170, 15246, 311, 18531, 25, 19722, 79413, 37, 11, 9124, 555, 18531, 7917, 11, 29057, 5614, 279, 87067, 5643, 315, 84360, 12170, 11, 47594, 1202, 1866, 5788, 1555, 264, 6928, 23331, 6471, 323, 96811, 279, 7645, 315, 3892, 9547, 6532, 304, 37140, 320, 1750, 12, 16, 52355, 705, 80700, 70430, 323, 92962, 52379, 320, 44, 5901, 24, 570, 11598, 12, 16, 52355, 574, 16917, 1523, 33263, 7913, 555, 19722, 79413, 37, 21277, 2065, 304, 468, 835, 84360, 12170, 304, 55004, 323, 304, 864, 91899, 4211, 13, 2314, 2720, 315, 11598, 12, 16, 52355, 555, 19722, 79413, 37, 574, 3025, 11, 304, 2543, 11, 311, 709, 33263, 6468, 90304, 24, 304, 279, 1890, 7917, 13, 578, 88101, 7319, 7645, 315, 90304, 24, 574, 2736, 13468, 304, 18531, 75968, 468, 835, 84360, 12170, 11, 1694, 20669, 311, 7319, 2254, 323, 68370, 780, 36254, 6650, 304, 50320, 24548, 13, 19722, 79413, 37, 5788, 574, 1879, 333, 950, 406, 398, 24872, 304, 279, 9546, 315, 390, 884, 52044, 33048, 304, 864, 91899, 4211, 315, 18531, 11, 2225, 304, 30299, 354, 25847, 4211, 320, 8195, 16027, 41078, 84, 26729, 10910, 33, 17, 26, 220, 19, 51, 16, 8, 323, 304, 54557, 36254, 92253, 24548, 320, 8195, 16027, 9483, 88, 8673, 570, 19722, 79413, 37, 21277, 2065, 304, 3892, 50320, 6705, 983, 1994, 292, 4211, 315, 18531, 12207, 11293, 33119, 437, 455, 69563, 7917, 304, 56071, 323, 304, 279, 14932, 468, 835, 11, 2737, 350, 12, 31986, 320, 6620, 19, 10, 6620, 914, 73216, 6620, 6804, 10516, 705, 27622, 360, 511, 70504, 856, 301, 590, 72286, 28321, 269, 7917, 320, 38, 5364, 35, 3624, 82, 11, 11325, 806, 65, 10, 48412, 21, 34, 8288, 88, 21, 38, 10, 705, 36254, 75968, 18563, 764, 1154, 320, 51, 1428, 82, 11, 435, 19, 14, 1490, 10, 6620, 11056, 10, 44, 2198, 5660, 10516, 8, 323, 36254, 43364, 1113, 43745, 57878, 320, 51, 1750, 82, 11, 11325, 23, 10, 23891, 16, 10, 570, 34496, 18531, 4595, 8356, 12742, 15055, 315, 19722, 79413, 37, 25, 24657, 8389, 18531, 320, 30271, 5002, 8, 13605, 5190, 5990, 7863, 311, 36908, 44540, 6928, 7917, 11, 35983, 1113, 19722, 79413, 37, 7645, 311, 5190, 36254, 12239, 13, 763, 279, 2317, 315, 25103, 468, 835, 12, 5002, 16628, 11, 6344, 630, 258, 574, 3025, 311, 38974, 36254, 6650, 11, 68370, 10949, 323, 92962, 52379, 304, 864, 91899, 4211, 320, 46, 2827, 331, 19350, 1880, 453, 2637, 220, 679, 20, 8, 323, 28987, 22852, 7917, 11, 2737, 350, 12, 31986, 11, 92720, 82, 323, 14306, 3624, 82, 13, 5659, 1057, 828, 11, 19722, 79413, 37, 574, 11054, 311, 387, 264, 502, 2218, 315, 6344, 630, 258, 304, 2225, 18531, 323, 468, 835, 84360, 12170, 11, 23377, 264, 11775, 20747, 10843, 17383, 78926, 555, 279, 5623, 13, 6344, 630, 258, 12882, 279, 1890, 41265, 304, 18189, 18531, 6650, 11, 68370, 780, 9041, 323, 22852, 1887, 19812, 11, 994, 7863, 311, 19722, 79413, 37, 3230, 21277, 2065, 304, 50320, 6705, 983, 1994, 292, 4211, 13, 57074, 3871, 11, 1521, 3135, 13519, 19722, 79413, 37, 439, 264, 502, 31206, 2218, 315, 6344, 630, 258, 323, 1862, 279, 3560, 315, 420, 11775, 17383, 304, 18531, 33824, 13, 507, 86171, 7978, 1101, 4284, 430, 420, 38970, 2643, 387, 36572, 304, 468, 835, 84360, 12170, 555, 1023, 6573, 56071, 11, 2737, 2536, 11529, 347, 70, 8148, 753, 426, 12, 398, 56102, 7942, 13, 70423, 15392, 25, 43833, 936, 3263, 70, 47547, 11, 4196, 24856, 11868, 64345, 11, 7281, 25772, 689, 386, 1149, 47535, 11, 41184, 2418, 86310, 11, 89699, 51775, 95894, 13, 59776, 315, 264, 11775, 31206, 16628, 11, 17550, 555, 6344, 630, 258, 11, 1990, 17659, 9572, 323, 4251, 30366, 974, 20438, 84360, 12170, 510, 16647, 948, 763, 25, 55227, 315, 279, 3778, 10229, 369, 26211, 8483, 25992, 30155, 220, 679, 22, 26, 220, 679, 22, 5186, 220, 16, 12, 20, 26, 6652, 11, 11162, 13, 19895, 320, 8201, 1680, 76448, 49, 26, 26211, 1838, 220, 679, 22, 26, 2813, 7, 1032, 6433, 501, 1680, 16328, 20877, 220, 24380, 24, 13, 36995, 25, 605, 13, 7322, 23, 14, 9800, 23, 12, 23800, 20, 885, 44, 679, 22, 12, 24380, 24, 128001, 128000, 2688, 1193, 1587, 1057, 29519, 30695, 74265, 12602, 279, 58105, 1742, 315, 264, 8013, 51543, 18981, 11, 36574, 9168, 323, 6445, 37138, 26420, 11348, 690, 387, 64747, 369, 22540, 13, 19365, 291, 1306, 279, 12223, 74265, 82, 430, 1099, 4535, 30336, 282, 2303, 388, 2391, 279, 6498, 3263, 2301, 11, 11348, 594, 3171, 449, 13513, 3649, 13, 16807, 343, 29616, 305, 14381, 17543, 11348, 596, 2380, 37138, 27271, 11, 1418, 264, 9168, 16603, 29519, 97470, 3722, 4881, 3177, 4028, 459, 506, 95519, 315, 40872, 3634, 13, 128001 ]
[ -100, 16328, 220, 24380, 24, 25, 59776, 315, 264, 11775, 31206, 16628, 11, 17550, 555, 6344, 630, 258, 11, 1990, 17659, 9572, 323, 4251, 30366, 974, 20438, 84360, 12170, 271, 791, 4251, 30366, 974, 20438, 320, 54, 835, 8, 5727, 264, 19504, 7187, 315, 84360, 12170, 449, 11083, 20345, 1631, 278, 12, 477, 93329, 59544, 12970, 82423, 11, 3025, 311, 12192, 17659, 9572, 320, 5002, 8, 33824, 320, 46, 2827, 331, 19350, 1880, 453, 2637, 220, 679, 18, 570, 1226, 6051, 32971, 264, 11775, 31206, 8183, 30456, 279, 16628, 1990, 18531, 323, 468, 835, 84360, 12170, 11, 11000, 26073, 279, 24279, 315, 264, 9572, 75968, 82423, 555, 468, 835, 84360, 1960, 7917, 323, 279, 21967, 315, 264, 824, 58028, 36254, 8162, 24175, 13, 19722, 79413, 37, 8335, 574, 11054, 311, 387, 279, 12717, 40704, 315, 279, 46940, 278, 73681, 31965, 304, 468, 835, 84360, 12170, 15246, 311, 18531, 25, 19722, 79413, 37, 11, 9124, 555, 18531, 7917, 11, 29057, 5614, 279, 87067, 5643, 315, 84360, 12170, 11, 47594, 1202, 1866, 5788, 1555, 264, 6928, 23331, 6471, 323, 96811, 279, 7645, 315, 3892, 9547, 6532, 304, 37140, 320, 1750, 12, 16, 52355, 705, 80700, 70430, 323, 92962, 52379, 320, 44, 5901, 24, 570, 11598, 12, 16, 52355, 574, 16917, 1523, 33263, 7913, 555, 19722, 79413, 37, 21277, 2065, 304, 468, 835, 84360, 12170, 304, 55004, 323, 304, 864, 91899, 4211, 13, 2314, 2720, 315, 11598, 12, 16, 52355, 555, 19722, 79413, 37, 574, 3025, 11, 304, 2543, 11, 311, 709, 33263, 6468, 90304, 24, 304, 279, 1890, 7917, 13, 578, 88101, 7319, 7645, 315, 90304, 24, 574, 2736, 13468, 304, 18531, 75968, 468, 835, 84360, 12170, 11, 1694, 20669, 311, 7319, 2254, 323, 68370, 780, 36254, 6650, 304, 50320, 24548, 13, 19722, 79413, 37, 5788, 574, 1879, 333, 950, 406, 398, 24872, 304, 279, 9546, 315, 390, 884, 52044, 33048, 304, 864, 91899, 4211, 315, 18531, 11, 2225, 304, 30299, 354, 25847, 4211, 320, 8195, 16027, 41078, 84, 26729, 10910, 33, 17, 26, 220, 19, 51, 16, 8, 323, 304, 54557, 36254, 92253, 24548, 320, 8195, 16027, 9483, 88, 8673, 570, 19722, 79413, 37, 21277, 2065, 304, 3892, 50320, 6705, 983, 1994, 292, 4211, 315, 18531, 12207, 11293, 33119, 437, 455, 69563, 7917, 304, 56071, 323, 304, 279, 14932, 468, 835, 11, 2737, 350, 12, 31986, 320, 6620, 19, 10, 6620, 914, 73216, 6620, 6804, 10516, 705, 27622, 360, 511, 70504, 856, 301, 590, 72286, 28321, 269, 7917, 320, 38, 5364, 35, 3624, 82, 11, 11325, 806, 65, 10, 48412, 21, 34, 8288, 88, 21, 38, 10, 705, 36254, 75968, 18563, 764, 1154, 320, 51, 1428, 82, 11, 435, 19, 14, 1490, 10, 6620, 11056, 10, 44, 2198, 5660, 10516, 8, 323, 36254, 43364, 1113, 43745, 57878, 320, 51, 1750, 82, 11, 11325, 23, 10, 23891, 16, 10, 570, 34496, 18531, 4595, 8356, 12742, 15055, 315, 19722, 79413, 37, 25, 24657, 8389, 18531, 320, 30271, 5002, 8, 13605, 5190, 5990, 7863, 311, 36908, 44540, 6928, 7917, 11, 35983, 1113, 19722, 79413, 37, 7645, 311, 5190, 36254, 12239, 13, 763, 279, 2317, 315, 25103, 468, 835, 12, 5002, 16628, 11, 6344, 630, 258, 574, 3025, 311, 38974, 36254, 6650, 11, 68370, 10949, 323, 92962, 52379, 304, 864, 91899, 4211, 320, 46, 2827, 331, 19350, 1880, 453, 2637, 220, 679, 20, 8, 323, 28987, 22852, 7917, 11, 2737, 350, 12, 31986, 11, 92720, 82, 323, 14306, 3624, 82, 13, 5659, 1057, 828, 11, 19722, 79413, 37, 574, 11054, 311, 387, 264, 502, 2218, 315, 6344, 630, 258, 304, 2225, 18531, 323, 468, 835, 84360, 12170, 11, 23377, 264, 11775, 20747, 10843, 17383, 78926, 555, 279, 5623, 13, 6344, 630, 258, 12882, 279, 1890, 41265, 304, 18189, 18531, 6650, 11, 68370, 780, 9041, 323, 22852, 1887, 19812, 11, 994, 7863, 311, 19722, 79413, 37, 3230, 21277, 2065, 304, 50320, 6705, 983, 1994, 292, 4211, 13, 57074, 3871, 11, 1521, 3135, 13519, 19722, 79413, 37, 439, 264, 502, 31206, 2218, 315, 6344, 630, 258, 323, 1862, 279, 3560, 315, 420, 11775, 17383, 304, 18531, 33824, 13, 507, 86171, 7978, 1101, 4284, 430, 420, 38970, 2643, 387, 36572, 304, 468, 835, 84360, 12170, 555, 1023, 6573, 56071, 11, 2737, 2536, 11529, 347, 70, 8148, 753, 426, 12, 398, 56102, 7942, 13, 70423, 15392, 25, 43833, 936, 3263, 70, 47547, 11, 4196, 24856, 11868, 64345, 11, 7281, 25772, 689, 386, 1149, 47535, 11, 41184, 2418, 86310, 11, 89699, 51775, 95894, 13, 59776, 315, 264, 11775, 31206, 16628, 11, 17550, 555, 6344, 630, 258, 11, 1990, 17659, 9572, 323, 4251, 30366, 974, 20438, 84360, 12170, 510, 16647, 948, 763, 25, 55227, 315, 279, 3778, 10229, 369, 26211, 8483, 25992, 30155, 220, 679, 22, 26, 220, 679, 22, 5186, 220, 16, 12, 20, 26, 6652, 11, 11162, 13, 19895, 320, 8201, 1680, 76448, 49, 26, 26211, 1838, 220, 679, 22, 26, 2813, 7, 1032, 6433, 501, 1680, 16328, 20877, 220, 24380, 24, 13, 36995, 25, 605, 13, 7322, 23, 14, 9800, 23, 12, 23800, 20, 885, 44, 679, 22, 12, 24380, 24, 128001, -100, 2688, 1193, 1587, 1057, 29519, 30695, 74265, 12602, 279, 58105, 1742, 315, 264, 8013, 51543, 18981, 11, 36574, 9168, 323, 6445, 37138, 26420, 11348, 690, 387, 64747, 369, 22540, 13, 19365, 291, 1306, 279, 12223, 74265, 82, 430, 1099, 4535, 30336, 282, 2303, 388, 2391, 279, 6498, 3263, 2301, 11, 11348, 594, 3171, 449, 13513, 3649, 13, 16807, 343, 29616, 305, 14381, 17543, 11348, 596, 2380, 37138, 27271, 11, 1418, 264, 9168, 16603, 29519, 97470, 3722, 4881, 3177, 4028, 459, 506, 95519, 315, 40872, 3634, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87 ]
[ 128000, 35919, 11640, 569, 261, 477, 539, 30, 16183, 604, 79, 271, 9906, 7752, 11, 584, 2216, 1205, 701, 1520, 389, 420, 1606, 358, 1541, 956, 1440, 1148, 311, 656, 14926, 13, 358, 1541, 956, 1440, 1148, 433, 374, 13, 2100, 433, 682, 3940, 994, 584, 7882, 505, 30221, 311, 47149, 13, 1628, 1070, 584, 1047, 832, 5679, 11, 264, 51327, 10335, 7401, 11, 323, 832, 5679, 3782, 505, 279, 3838, 13, 5112, 757, 323, 856, 6691, 6924, 2500, 11, 264, 387, 33774, 505, 279, 34353, 13, 1628, 1243, 433, 34490, 3940, 1606, 2500, 1403, 477, 3116, 12875, 2751, 6924, 505, 856, 3450, 1606, 814, 1051, 11689, 2212, 279, 4156, 20085, 13, 2100, 1364, 2751, 1124, 11, 719, 433, 574, 2103, 2555, 4725, 13, 358, 15262, 433, 11, 433, 574, 6555, 7982, 709, 449, 26159, 13, 1628, 584, 1101, 1047, 264, 2478, 19987, 11, 719, 279, 3245, 2751, 704, 315, 2585, 994, 1364, 3940, 311, 636, 1139, 10065, 59085, 8396, 323, 279, 5315, 13, 1102, 1176, 3940, 994, 1364, 2751, 264, 2478, 12875, 369, 25375, 1176, 1070, 574, 1093, 1973, 220, 18, 12875, 369, 25375, 389, 1057, 20085, 1174, 719, 433, 2216, 4024, 73481, 994, 1364, 2751, 1077, 5842, 323, 1364, 1436, 656, 1148, 1364, 6944, 323, 3287, 259, 1205, 856, 18233, 14926, 477, 813, 14175, 1854, 1174, 1364, 3940, 1701, 279, 3070, 1841, 311, 7710, 26159, 323, 1520, 22562, 75, 553, 1124, 279, 1841, 902, 374, 14470, 502, 220, 323, 374, 1457, 54766, 1174, 1220, 2539, 315, 7013, 1174, 267, 1771, 11, 26351, 5099, 323, 315, 294, 812, 91915, 1364, 16869, 5534, 588, 1174, 300, 602, 14264, 323, 602, 2231, 810, 30200, 389, 1694, 4335, 323, 6392, 602, 3940, 311, 12491, 279, 22843, 2744, 304, 279, 3838, 323, 430, 682, 856, 6392, 323, 3691, 1047, 7013, 389, 1124, 323, 602, 3940, 311, 2197, 1077, 311, 3009, 719, 1364, 1053, 2744, 11471, 323, 264, 2046, 3010, 4546, 502, 26159, 1578, 1174, 719, 832, 892, 994, 584, 1047, 264, 20769, 311, 279, 3776, 9581, 323, 584, 1405, 264, 4725, 3070, 369, 264, 1418, 323, 602, 2751, 2216, 1695, 3235, 34799, 1077, 323, 1364, 1524, 19487, 389, 264, 5684, 34799, 1077, 12223, 430, 912, 810, 26159, 11, 323, 8101, 1148, 264, 2046, 3010, 1364, 51242, 11937, 369, 1949, 520, 279, 2254, 6896, 23756, 902, 374, 264, 2860, 21426, 323, 1364, 1176, 1193, 9087, 719, 520, 1064, 602, 1418, 1364, 610, 472, 291, 1437, 5859, 12875, 505, 1070, 323, 832, 892, 15240, 1047, 220, 1544, 12875, 304, 2860, 1455, 505, 430, 23756, 11, 1364, 374, 779, 5655, 304, 420, 17619, 17619, 91915, 1364, 4375, 369, 70096, 811, 304, 19001, 2346, 40707, 311, 11142, 12875, 1070, 323, 311, 3708, 1124, 1070, 1174, 602, 1053, 7446, 4465, 34799, 1124, 323, 814, 453, 3195, 1053, 2019, 912, 5129, 502, 12875, 11, 814, 14763, 3596, 1216, 1626, 279, 4459, 20085, 323, 32278, 374, 264, 21426, 323, 279, 9979, 91915, 1070, 1364, 3727, 279, 5679, 3691, 1174, 304, 279, 3838, 527, 1093, 220, 605, 12875, 323, 433, 2744, 357, 15872, 91915, 814, 65238, 323, 17619, 304, 1070, 323, 433, 912, 5129, 11321, 1093, 264, 3838, 810, 1093, 264, 6896, 23756, 1174, 369, 1057, 3070, 12875, 15240, 1047, 505, 279, 3240, 287, 19093, 706, 892, 14926, 323, 814, 1120, 2503, 2219, 417, 291, 1174, 20670, 1524, 656, 814, 265, 6392, 304, 279, 3838, 1606, 1364, 8924, 306, 617, 892, 14926, 1174, 832, 1524, 374, 6000, 398, 8834, 91915, 1364, 2751, 264, 3575, 323, 3966, 10368, 323, 832, 706, 264, 27653, 389, 77938, 2533, 220, 17, 42820, 7570, 279, 2978, 54595, 2751, 1558, 42831, 323, 856, 11326, 1174, 814, 15243, 311, 1077, 323, 602, 2216, 1047, 16388, 430, 1794, 1626, 1053, 2349, 323, 8101, 1148, 8741, 220, 17, 5672, 1306, 1174, 602, 2586, 2162, 311, 832, 35101, 23069, 5679, 304, 279, 6278, 315, 279, 20085, 323, 220, 17, 943, 14363, 57725, 505, 430, 22169, 23756, 1174, 602, 3287, 259, 3137, 311, 856, 6699, 369, 220, 19, 14097, 1606, 315, 430, 323, 1101, 856, 7126, 1606, 568, 19487, 757, 1690, 3115, 568, 1053, 3137, 311, 1077, 323, 1794, 1626, 1053, 2349, 719, 568, 1120, 289, 3444, 636, 3235, 34799, 1077, 779, 568, 1120, 1587, 1148, 1364, 6944, 323, 420, 50777, 757, 709, 91915, 602, 2751, 264, 2216, 1695, 1972, 83, 919, 2200, 34799, 856, 18233, 323, 568, 2216, 1550, 4395, 369, 757, 323, 602, 15890, 1093, 3339, 1461, 13088, 91915, 568, 374, 220, 5958, 719, 568, 47253, 779, 1690, 3115, 311, 757, 304, 420, 3917, 323, 602, 1120, 649, 259, 1046, 1512, 430, 1174, 279, 28252, 709, 961, 7077, 3432, 994, 602, 2751, 1523, 311, 279, 9979, 311, 4394, 1063, 37547, 323, 1884, 220, 17, 14363, 74135, 700, 57725, 1405, 304, 279, 3838, 14321, 1828, 311, 279, 9979, 34799, 220, 17, 1023, 12875, 505, 279, 23756, 1174, 602, 4224, 10395, 323, 22982, 1794, 1626, 311, 279, 5015, 323, 3309, 1077, 422, 513, 1053, 4546, 2500, 74135, 700, 10065, 304, 279, 3838, 887, 5622, 1124, 320, 28753, 315, 34049, 602, 1071, 420, 602, 2646, 69525, 264, 10065, 8, 1306, 430, 1364, 3940, 311, 3335, 757, 323, 1606, 602, 574, 420, 13088, 602, 15203, 311, 1077, 323, 3952, 1077, 4641, 704, 315, 1077, 1450, 459, 1606, 1364, 574, 39970, 323, 856, 18233, 574, 1070, 1364, 3940, 311, 46789, 323, 16106, 439, 422, 602, 520, 11440, 1077, 323, 4295, 1077, 323, 1457, 1364, 10975, 87695, 1286, 602, 520, 11440, 1077, 323, 13541, 1077, 7013, 323, 430, 422, 602, 539, 2019, 14931, 1364, 690, 3708, 420, 2835, 311, 279, 4379, 323, 602, 690, 636, 527, 24836, 1174, 602, 3685, 856, 18233, 311, 2019, 1794, 1626, 719, 568, 1120, 1095, 1077, 10457, 1093, 420, 323, 1071, 568, 3287, 259, 1518, 433, 994, 568, 574, 1314, 1070, 323, 1243, 994, 602, 3309, 1077, 922, 279, 3115, 1364, 22982, 6302, 520, 757, 1364, 1071, 602, 574, 21078, 323, 856, 18233, 889, 5602, 430, 1071, 568, 8924, 306, 1323, 3981, 655, 323, 420, 1120, 50777, 757, 709, 91915, 737, 520, 3939, 311, 1461, 11, 1148, 1288, 602, 656, 78, 949, 3383, 602, 304, 279, 5076, 949, 358, 1101, 2751, 264, 2073, 115571, 2439, 291, 18247, 848, 532, 14363, 4978, 220, 430, 520, 7977, 856, 50581, 323, 856, 6548, 323, 602, 3629, 5895, 422, 433, 706, 1794, 1626, 311, 656, 78, 34799, 279, 26159, 198, 3112, 2533, 602, 1440, 1077, 439, 5246, 439, 602, 2019, 1794, 1626, 922, 1077, 323, 1077, 26159, 1364, 2744, 636, 305, 1601, 950, 323, 61108, 323, 5334, 945, 18297, 535, 323, 420, 50777, 856, 18233, 709, 91915, 568, 374, 2362, 323, 568, 294, 8477, 259, 1935, 420, 1664, 520, 682, 433, 60832, 1461, 323, 737, 1781, 396, 422, 602, 1288, 1120, 4287, 420, 17619, 369, 813, 1695, 719, 1148, 649, 602, 656, 422, 568, 1120, 1587, 1148, 1364, 2795, 323, 912, 5129, 15849, 5678, 198, 7009, 1101, 1005, 1475, 6140, 311, 1304, 757, 264, 3958, 1732, 323, 430, 602, 12491, 10099, 1524, 40425, 7182, 6924, 1101, 1690, 10099, 430, 1405, 304, 856, 1648, 11, 1070, 374, 1120, 912, 5647, 304, 264, 4948, 3224, 1093, 420, 311, 1456, 311, 3665, 1475, 10065, 1153, 42517, 1606, 1202, 264, 2646, 13696, 4502, 23539, 323, 499, 690, 499, 1120, 1304, 499, 312, 1866, 5496, 323, 4787, 810, 3958, 11, 814, 1101, 19065, 757, 1606, 602, 3309, 1124, 311, 2231, 264, 42289, 304, 279, 43338, 3130, 323, 568, 8636, 1070, 1606, 1070, 1405, 220, 1758, 409, 1414, 288, 4994, 719, 279, 42289, 574, 304, 264, 3130, 719, 2536, 32813, 323, 568, 8636, 323, 814, 19065, 433, 389, 757, 1524, 40425, 568, 574, 2736, 14363, 323, 1436, 64, 617, 8636, 63445, 11, 1364, 1524, 8621, 389, 23795, 311, 19065, 757, 369, 13419, 264, 87018, 306, 2697, 15241, 20898, 198, 19701, 369, 856, 6000, 398, 3958, 1099, 15924, 323, 904, 9650, 690, 1520, 128001, 128000, 16298, 1093, 430, 330, 75, 533, 974, 72729, 519, 1, 1732, 527, 3249, 358, 8541, 539, 311, 2019, 4205, 13, 358, 2846, 539, 29704, 11, 719, 636, 282, 6, 291, 709, 369, 2919, 422, 1070, 596, 1524, 264, 13310, 315, 34479, 7, 4908, 1524, 279, 17615, 287, 389, 1063, 39834, 24512, 649, 743, 433, 1022, 8, 662, 4452, 358, 2733, 3958, 5605, 4205, 1606, 358, 1541, 956, 617, 11311, 323, 1070, 527, 1884, 704, 1070, 889, 656, 323, 358, 2733, 1093, 264, 16515, 13, 320, 4291, 856, 10177, 596, 1520, 358, 2846, 3794, 264, 2763, 2731, 13, 358, 1511, 311, 1120, 539, 8343, 279, 1537, 422, 433, 3782, 704, 449, 2555, 34479, 389, 433, 13, 4800, 358, 3604, 10552, 1603, 358, 2015, 13, 16782, 617, 4819, 11889, 1203, 8, 128001, 128000, 91273, 3814, 374, 27711, 13, 4488, 287, 420, 3814, 706, 5614, 927, 279, 1667, 12775, 1431, 433, 1389, 994, 358, 574, 3995, 11, 27711, 574, 459, 3778, 3245, 11, 1057, 5357, 574, 389, 13789, 11029, 13120, 4619, 13, 2030, 439, 814, 2019, 11, 422, 5270, 21423, 10333, 288, 11, 584, 2339, 264, 9439, 11, 279, 20021, 617, 3970, 264, 6140, 311, 8515, 304, 11, 323, 779, 15187, 27711, 374, 2466, 2626, 1618, 2288, 627, 40, 617, 9709, 16024, 922, 27711, 13, 358, 4344, 539, 264, 2294, 8571, 315, 3451, 376, 875, 477, 27723, 14639, 1102, 5900, 2403, 4395, 584, 4639, 1057, 2911, 922, 87657, 1664, 11, 922, 539, 1694, 45743, 477, 11125, 311, 636, 872, 1866, 1203, 422, 2574, 1541, 1431, 990, 704, 439, 814, 1390, 1124, 311, 13, 358, 4344, 1101, 539, 2771, 922, 50244, 389, 40721, 529, 14365, 11, 323, 11196, 922, 279, 5536, 389, 279, 20134, 13, 31909, 11, 439, 264, 9052, 11, 358, 1390, 311, 18890, 279, 3177, 11, 539, 279, 27394, 627, 4897, 1071, 11, 8530, 1070, 374, 2555, 304, 420, 3280, 922, 36048, 323, 75867, 1057, 24087, 323, 9455, 1268, 311, 23075, 1124, 13, 19292, 358, 1288, 1101, 1866, 709, 311, 1694, 264, 2766, 315, 264, 67586, 1269, 323, 22128, 279, 10535, 20457, 3446, 2288, 13, 2684, 527, 1524, 1063, 304, 279, 17377, 13, 578, 1888, 3967, 832, 374, 304, 19475, 753, 44468, 11, 12735, 220, 975, 13, 578, 49260, 527, 704, 389, 872, 15688, 323, 433, 753, 6453, 11, 279, 8219, 706, 539, 3686, 5115, 41482, 927, 279, 15379, 315, 10845, 64166, 13, 1472, 649, 13085, 279, 6237, 11, 814, 527, 305, 85201, 709, 304, 279, 15688, 11, 10213, 656, 20994, 8530, 449, 832, 477, 1403, 10494, 10307, 11, 994, 15187, 832, 25930, 279, 17035, 13, 763, 279, 6138, 1070, 753, 2555, 7366, 11, 264, 12737, 88, 7216, 1405, 1070, 374, 912, 1314, 369, 1070, 311, 387, 4205, 11, 323, 433, 753, 5108, 7119, 1124, 13, 2468, 1176, 8530, 264, 305, 13933, 29613, 11, 719, 1243, 433, 5334, 49479, 11, 433, 753, 264, 1732, 11, 719, 433, 649, 1431, 387, 11, 433, 753, 389, 279, 3090, 1389, 433, 2011, 387, 264, 20457, 3001, 2435, 16106, 704, 13, 480, 4935, 3026, 11, 35101, 704, 304, 8818, 627, 4071, 1243, 264, 7899, 4131, 4028, 279, 17301, 13, 4418, 1431, 387, 27207, 11, 433, 374, 757, 627, 37659, 1972, 5014, 1176, 11, 420, 374, 912, 20457, 11, 420, 374, 10811, 13, 220, 578, 7216, 92186, 2439, 1461, 13, 17586, 65437, 11291, 60610, 1941, 927, 279, 3185, 315, 279, 15688, 11, 323, 7504, 704, 13, 37633, 398, 568, 14035, 279, 3090, 11815, 1461, 13, 1283, 2288, 374, 3025, 311, 4321, 4028, 279, 17301, 13, 2030, 568, 5097, 813, 6548, 1022, 10811, 11, 49804, 555, 279, 85151, 9581, 13, 1283, 20365, 82829, 13, 11233, 1233, 13, 1628, 12302, 311, 19868, 627, 14336, 12978, 72434, 568, 58845, 13, 362, 23788, 584, 682, 24739, 520, 1063, 1486, 304, 1057, 6439, 13, 362, 1450, 50087, 1725, 813, 6916, 13, 10811, 706, 2586, 16662, 1461, 11, 33510, 1461, 6962, 10194, 369, 11745, 11, 1139, 279, 15688, 13, 3451, 10445, 3287, 1431, 499, 7095, 757, 30, 358, 4344, 2744, 1070, 369, 499, 14639, 800, 39090, 555, 1148, 814, 617, 1120, 32126, 11, 279, 49260, 24863, 1461, 627, 7184, 11, 358, 1541, 1431, 1440, 1148, 701, 24087, 527, 11, 719, 358, 656, 1440, 430, 304, 1778, 6453, 14269, 11, 10811, 374, 449, 603, 13, 1442, 584, 1650, 704, 311, 1461, 11, 568, 23291, 1139, 1057, 35446, 11, 5097, 555, 279, 6916, 11, 323, 12157, 603, 1203, 1139, 279, 15688, 13, 128001 ]
[ -100, 35919, 11640, 569, 261, 477, 539, 30, 16183, 604, 79, 271, 9906, 7752, 11, 584, 2216, 1205, 701, 1520, 389, 420, 1606, 358, 1541, 956, 1440, 1148, 311, 656, 14926, 13, 358, 1541, 956, 1440, 1148, 433, 374, 13, 2100, 433, 682, 3940, 994, 584, 7882, 505, 30221, 311, 47149, 13, 1628, 1070, 584, 1047, 832, 5679, 11, 264, 51327, 10335, 7401, 11, 323, 832, 5679, 3782, 505, 279, 3838, 13, 5112, 757, 323, 856, 6691, 6924, 2500, 11, 264, 387, 33774, 505, 279, 34353, 13, 1628, 1243, 433, 34490, 3940, 1606, 2500, 1403, 477, 3116, 12875, 2751, 6924, 505, 856, 3450, 1606, 814, 1051, 11689, 2212, 279, 4156, 20085, 13, 2100, 1364, 2751, 1124, 11, 719, 433, 574, 2103, 2555, 4725, 13, 358, 15262, 433, 11, 433, 574, 6555, 7982, 709, 449, 26159, 13, 1628, 584, 1101, 1047, 264, 2478, 19987, 11, 719, 279, 3245, 2751, 704, 315, 2585, 994, 1364, 3940, 311, 636, 1139, 10065, 59085, 8396, 323, 279, 5315, 13, 1102, 1176, 3940, 994, 1364, 2751, 264, 2478, 12875, 369, 25375, 1176, 1070, 574, 1093, 1973, 220, 18, 12875, 369, 25375, 389, 1057, 20085, 1174, 719, 433, 2216, 4024, 73481, 994, 1364, 2751, 1077, 5842, 323, 1364, 1436, 656, 1148, 1364, 6944, 323, 3287, 259, 1205, 856, 18233, 14926, 477, 813, 14175, 1854, 1174, 1364, 3940, 1701, 279, 3070, 1841, 311, 7710, 26159, 323, 1520, 22562, 75, 553, 1124, 279, 1841, 902, 374, 14470, 502, 220, 323, 374, 1457, 54766, 1174, 1220, 2539, 315, 7013, 1174, 267, 1771, 11, 26351, 5099, 323, 315, 294, 812, 91915, 1364, 16869, 5534, 588, 1174, 300, 602, 14264, 323, 602, 2231, 810, 30200, 389, 1694, 4335, 323, 6392, 602, 3940, 311, 12491, 279, 22843, 2744, 304, 279, 3838, 323, 430, 682, 856, 6392, 323, 3691, 1047, 7013, 389, 1124, 323, 602, 3940, 311, 2197, 1077, 311, 3009, 719, 1364, 1053, 2744, 11471, 323, 264, 2046, 3010, 4546, 502, 26159, 1578, 1174, 719, 832, 892, 994, 584, 1047, 264, 20769, 311, 279, 3776, 9581, 323, 584, 1405, 264, 4725, 3070, 369, 264, 1418, 323, 602, 2751, 2216, 1695, 3235, 34799, 1077, 323, 1364, 1524, 19487, 389, 264, 5684, 34799, 1077, 12223, 430, 912, 810, 26159, 11, 323, 8101, 1148, 264, 2046, 3010, 1364, 51242, 11937, 369, 1949, 520, 279, 2254, 6896, 23756, 902, 374, 264, 2860, 21426, 323, 1364, 1176, 1193, 9087, 719, 520, 1064, 602, 1418, 1364, 610, 472, 291, 1437, 5859, 12875, 505, 1070, 323, 832, 892, 15240, 1047, 220, 1544, 12875, 304, 2860, 1455, 505, 430, 23756, 11, 1364, 374, 779, 5655, 304, 420, 17619, 17619, 91915, 1364, 4375, 369, 70096, 811, 304, 19001, 2346, 40707, 311, 11142, 12875, 1070, 323, 311, 3708, 1124, 1070, 1174, 602, 1053, 7446, 4465, 34799, 1124, 323, 814, 453, 3195, 1053, 2019, 912, 5129, 502, 12875, 11, 814, 14763, 3596, 1216, 1626, 279, 4459, 20085, 323, 32278, 374, 264, 21426, 323, 279, 9979, 91915, 1070, 1364, 3727, 279, 5679, 3691, 1174, 304, 279, 3838, 527, 1093, 220, 605, 12875, 323, 433, 2744, 357, 15872, 91915, 814, 65238, 323, 17619, 304, 1070, 323, 433, 912, 5129, 11321, 1093, 264, 3838, 810, 1093, 264, 6896, 23756, 1174, 369, 1057, 3070, 12875, 15240, 1047, 505, 279, 3240, 287, 19093, 706, 892, 14926, 323, 814, 1120, 2503, 2219, 417, 291, 1174, 20670, 1524, 656, 814, 265, 6392, 304, 279, 3838, 1606, 1364, 8924, 306, 617, 892, 14926, 1174, 832, 1524, 374, 6000, 398, 8834, 91915, 1364, 2751, 264, 3575, 323, 3966, 10368, 323, 832, 706, 264, 27653, 389, 77938, 2533, 220, 17, 42820, 7570, 279, 2978, 54595, 2751, 1558, 42831, 323, 856, 11326, 1174, 814, 15243, 311, 1077, 323, 602, 2216, 1047, 16388, 430, 1794, 1626, 1053, 2349, 323, 8101, 1148, 8741, 220, 17, 5672, 1306, 1174, 602, 2586, 2162, 311, 832, 35101, 23069, 5679, 304, 279, 6278, 315, 279, 20085, 323, 220, 17, 943, 14363, 57725, 505, 430, 22169, 23756, 1174, 602, 3287, 259, 3137, 311, 856, 6699, 369, 220, 19, 14097, 1606, 315, 430, 323, 1101, 856, 7126, 1606, 568, 19487, 757, 1690, 3115, 568, 1053, 3137, 311, 1077, 323, 1794, 1626, 1053, 2349, 719, 568, 1120, 289, 3444, 636, 3235, 34799, 1077, 779, 568, 1120, 1587, 1148, 1364, 6944, 323, 420, 50777, 757, 709, 91915, 602, 2751, 264, 2216, 1695, 1972, 83, 919, 2200, 34799, 856, 18233, 323, 568, 2216, 1550, 4395, 369, 757, 323, 602, 15890, 1093, 3339, 1461, 13088, 91915, 568, 374, 220, 5958, 719, 568, 47253, 779, 1690, 3115, 311, 757, 304, 420, 3917, 323, 602, 1120, 649, 259, 1046, 1512, 430, 1174, 279, 28252, 709, 961, 7077, 3432, 994, 602, 2751, 1523, 311, 279, 9979, 311, 4394, 1063, 37547, 323, 1884, 220, 17, 14363, 74135, 700, 57725, 1405, 304, 279, 3838, 14321, 1828, 311, 279, 9979, 34799, 220, 17, 1023, 12875, 505, 279, 23756, 1174, 602, 4224, 10395, 323, 22982, 1794, 1626, 311, 279, 5015, 323, 3309, 1077, 422, 513, 1053, 4546, 2500, 74135, 700, 10065, 304, 279, 3838, 887, 5622, 1124, 320, 28753, 315, 34049, 602, 1071, 420, 602, 2646, 69525, 264, 10065, 8, 1306, 430, 1364, 3940, 311, 3335, 757, 323, 1606, 602, 574, 420, 13088, 602, 15203, 311, 1077, 323, 3952, 1077, 4641, 704, 315, 1077, 1450, 459, 1606, 1364, 574, 39970, 323, 856, 18233, 574, 1070, 1364, 3940, 311, 46789, 323, 16106, 439, 422, 602, 520, 11440, 1077, 323, 4295, 1077, 323, 1457, 1364, 10975, 87695, 1286, 602, 520, 11440, 1077, 323, 13541, 1077, 7013, 323, 430, 422, 602, 539, 2019, 14931, 1364, 690, 3708, 420, 2835, 311, 279, 4379, 323, 602, 690, 636, 527, 24836, 1174, 602, 3685, 856, 18233, 311, 2019, 1794, 1626, 719, 568, 1120, 1095, 1077, 10457, 1093, 420, 323, 1071, 568, 3287, 259, 1518, 433, 994, 568, 574, 1314, 1070, 323, 1243, 994, 602, 3309, 1077, 922, 279, 3115, 1364, 22982, 6302, 520, 757, 1364, 1071, 602, 574, 21078, 323, 856, 18233, 889, 5602, 430, 1071, 568, 8924, 306, 1323, 3981, 655, 323, 420, 1120, 50777, 757, 709, 91915, 737, 520, 3939, 311, 1461, 11, 1148, 1288, 602, 656, 78, 949, 3383, 602, 304, 279, 5076, 949, 358, 1101, 2751, 264, 2073, 115571, 2439, 291, 18247, 848, 532, 14363, 4978, 220, 430, 520, 7977, 856, 50581, 323, 856, 6548, 323, 602, 3629, 5895, 422, 433, 706, 1794, 1626, 311, 656, 78, 34799, 279, 26159, 198, 3112, 2533, 602, 1440, 1077, 439, 5246, 439, 602, 2019, 1794, 1626, 922, 1077, 323, 1077, 26159, 1364, 2744, 636, 305, 1601, 950, 323, 61108, 323, 5334, 945, 18297, 535, 323, 420, 50777, 856, 18233, 709, 91915, 568, 374, 2362, 323, 568, 294, 8477, 259, 1935, 420, 1664, 520, 682, 433, 60832, 1461, 323, 737, 1781, 396, 422, 602, 1288, 1120, 4287, 420, 17619, 369, 813, 1695, 719, 1148, 649, 602, 656, 422, 568, 1120, 1587, 1148, 1364, 2795, 323, 912, 5129, 15849, 5678, 198, 7009, 1101, 1005, 1475, 6140, 311, 1304, 757, 264, 3958, 1732, 323, 430, 602, 12491, 10099, 1524, 40425, 7182, 6924, 1101, 1690, 10099, 430, 1405, 304, 856, 1648, 11, 1070, 374, 1120, 912, 5647, 304, 264, 4948, 3224, 1093, 420, 311, 1456, 311, 3665, 1475, 10065, 1153, 42517, 1606, 1202, 264, 2646, 13696, 4502, 23539, 323, 499, 690, 499, 1120, 1304, 499, 312, 1866, 5496, 323, 4787, 810, 3958, 11, 814, 1101, 19065, 757, 1606, 602, 3309, 1124, 311, 2231, 264, 42289, 304, 279, 43338, 3130, 323, 568, 8636, 1070, 1606, 1070, 1405, 220, 1758, 409, 1414, 288, 4994, 719, 279, 42289, 574, 304, 264, 3130, 719, 2536, 32813, 323, 568, 8636, 323, 814, 19065, 433, 389, 757, 1524, 40425, 568, 574, 2736, 14363, 323, 1436, 64, 617, 8636, 63445, 11, 1364, 1524, 8621, 389, 23795, 311, 19065, 757, 369, 13419, 264, 87018, 306, 2697, 15241, 20898, 198, 19701, 369, 856, 6000, 398, 3958, 1099, 15924, 323, 904, 9650, 690, 1520, 128001, -100, 16298, 1093, 430, 330, 75, 533, 974, 72729, 519, 1, 1732, 527, 3249, 358, 8541, 539, 311, 2019, 4205, 13, 358, 2846, 539, 29704, 11, 719, 636, 282, 6, 291, 709, 369, 2919, 422, 1070, 596, 1524, 264, 13310, 315, 34479, 7, 4908, 1524, 279, 17615, 287, 389, 1063, 39834, 24512, 649, 743, 433, 1022, 8, 662, 4452, 358, 2733, 3958, 5605, 4205, 1606, 358, 1541, 956, 617, 11311, 323, 1070, 527, 1884, 704, 1070, 889, 656, 323, 358, 2733, 1093, 264, 16515, 13, 320, 4291, 856, 10177, 596, 1520, 358, 2846, 3794, 264, 2763, 2731, 13, 358, 1511, 311, 1120, 539, 8343, 279, 1537, 422, 433, 3782, 704, 449, 2555, 34479, 389, 433, 13, 4800, 358, 3604, 10552, 1603, 358, 2015, 13, 16782, 617, 4819, 11889, 1203, 8, 128001, -100, 91273, 3814, 374, 27711, 13, 4488, 287, 420, 3814, 706, 5614, 927, 279, 1667, 12775, 1431, 433, 1389, 994, 358, 574, 3995, 11, 27711, 574, 459, 3778, 3245, 11, 1057, 5357, 574, 389, 13789, 11029, 13120, 4619, 13, 2030, 439, 814, 2019, 11, 422, 5270, 21423, 10333, 288, 11, 584, 2339, 264, 9439, 11, 279, 20021, 617, 3970, 264, 6140, 311, 8515, 304, 11, 323, 779, 15187, 27711, 374, 2466, 2626, 1618, 2288, 627, 40, 617, 9709, 16024, 922, 27711, 13, 358, 4344, 539, 264, 2294, 8571, 315, 3451, 376, 875, 477, 27723, 14639, 1102, 5900, 2403, 4395, 584, 4639, 1057, 2911, 922, 87657, 1664, 11, 922, 539, 1694, 45743, 477, 11125, 311, 636, 872, 1866, 1203, 422, 2574, 1541, 1431, 990, 704, 439, 814, 1390, 1124, 311, 13, 358, 4344, 1101, 539, 2771, 922, 50244, 389, 40721, 529, 14365, 11, 323, 11196, 922, 279, 5536, 389, 279, 20134, 13, 31909, 11, 439, 264, 9052, 11, 358, 1390, 311, 18890, 279, 3177, 11, 539, 279, 27394, 627, 4897, 1071, 11, 8530, 1070, 374, 2555, 304, 420, 3280, 922, 36048, 323, 75867, 1057, 24087, 323, 9455, 1268, 311, 23075, 1124, 13, 19292, 358, 1288, 1101, 1866, 709, 311, 1694, 264, 2766, 315, 264, 67586, 1269, 323, 22128, 279, 10535, 20457, 3446, 2288, 13, 2684, 527, 1524, 1063, 304, 279, 17377, 13, 578, 1888, 3967, 832, 374, 304, 19475, 753, 44468, 11, 12735, 220, 975, 13, 578, 49260, 527, 704, 389, 872, 15688, 323, 433, 753, 6453, 11, 279, 8219, 706, 539, 3686, 5115, 41482, 927, 279, 15379, 315, 10845, 64166, 13, 1472, 649, 13085, 279, 6237, 11, 814, 527, 305, 85201, 709, 304, 279, 15688, 11, 10213, 656, 20994, 8530, 449, 832, 477, 1403, 10494, 10307, 11, 994, 15187, 832, 25930, 279, 17035, 13, 763, 279, 6138, 1070, 753, 2555, 7366, 11, 264, 12737, 88, 7216, 1405, 1070, 374, 912, 1314, 369, 1070, 311, 387, 4205, 11, 323, 433, 753, 5108, 7119, 1124, 13, 2468, 1176, 8530, 264, 305, 13933, 29613, 11, 719, 1243, 433, 5334, 49479, 11, 433, 753, 264, 1732, 11, 719, 433, 649, 1431, 387, 11, 433, 753, 389, 279, 3090, 1389, 433, 2011, 387, 264, 20457, 3001, 2435, 16106, 704, 13, 480, 4935, 3026, 11, 35101, 704, 304, 8818, 627, 4071, 1243, 264, 7899, 4131, 4028, 279, 17301, 13, 4418, 1431, 387, 27207, 11, 433, 374, 757, 627, 37659, 1972, 5014, 1176, 11, 420, 374, 912, 20457, 11, 420, 374, 10811, 13, 220, 578, 7216, 92186, 2439, 1461, 13, 17586, 65437, 11291, 60610, 1941, 927, 279, 3185, 315, 279, 15688, 11, 323, 7504, 704, 13, 37633, 398, 568, 14035, 279, 3090, 11815, 1461, 13, 1283, 2288, 374, 3025, 311, 4321, 4028, 279, 17301, 13, 2030, 568, 5097, 813, 6548, 1022, 10811, 11, 49804, 555, 279, 85151, 9581, 13, 1283, 20365, 82829, 13, 11233, 1233, 13, 1628, 12302, 311, 19868, 627, 14336, 12978, 72434, 568, 58845, 13, 362, 23788, 584, 682, 24739, 520, 1063, 1486, 304, 1057, 6439, 13, 362, 1450, 50087, 1725, 813, 6916, 13, 10811, 706, 2586, 16662, 1461, 11, 33510, 1461, 6962, 10194, 369, 11745, 11, 1139, 279, 15688, 13, 3451, 10445, 3287, 1431, 499, 7095, 757, 30, 358, 4344, 2744, 1070, 369, 499, 14639, 800, 39090, 555, 1148, 814, 617, 1120, 32126, 11, 279, 49260, 24863, 1461, 627, 7184, 11, 358, 1541, 1431, 1440, 1148, 701, 24087, 527, 11, 719, 358, 656, 1440, 430, 304, 1778, 6453, 14269, 11, 10811, 374, 449, 603, 13, 1442, 584, 1650, 704, 311, 1461, 11, 568, 23291, 1139, 1057, 35446, 11, 5097, 555, 279, 6916, 11, 323, 12157, 603, 1203, 1139, 279, 15688, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597 ]
[ 128000, 37, 34002, 489, 58320, 9601, 765, 220, 6280, 15, 765, 14936, 765, 426, 22964, 198, 2127, 2930, 4632, 12607, 374, 539, 2561, 3686, 11, 4587, 3729, 603, 369, 264, 20705, 198, 32, 13130, 554, 304, 6890, 11, 19624, 2324, 11, 264, 90038, 37500, 16696, 311, 1304, 264, 5496, 13, 5414, 3838, 323, 3070, 11, 11486, 24875, 304, 279, 3157, 220, 6280, 15, 596, 198, 46, 87, 268, 23062, 66504, 315, 18137, 304, 264, 61243, 2115, 13, 11258, 323, 13305, 2503, 477, 1514, 1234, 264, 5021, 11, 4920, 11, 3026, 4321, 1523, 279, 8761, 449, 51131, 389, 872, 14971, 13, 362, 1716, 77511, 1523, 264, 32703, 604, 537, 13, 578, 19488, 268, 527, 3063, 1139, 264, 33419, 449, 264, 430, 2454, 15485, 13, 362, 5333, 323, 1077, 10003, 10772, 264, 15496, 11, 279, 5333, 81844, 82, 6558, 1139, 264, 19763, 13, 578, 37500, 29933, 323, 5097, 1022, 813, 13535, 6993, 323, 5900, 1139, 279, 3130, 1405, 279, 3278, 527, 13, 578, 10003, 5992, 709, 449, 264, 15648, 13, 578, 3136, 20646, 279, 15496, 11, 279, 6691, 3352, 1303, 704, 16385, 13, 578, 7126, 23874, 1523, 304, 279, 9309, 323, 813, 7555, 12716, 1461, 813, 3691, 11, 578, 14992, 2911, 2586, 304, 323, 814, 527, 10434, 439, 1664, 11, 814, 2503, 389, 279, 6558, 11, 539, 520, 264, 2007, 477, 389, 264, 5634, 13, 578, 37148, 323, 31107, 12295, 315, 2678, 15316, 13, 46613, 324, 279, 7126, 1554, 8099, 264, 36213, 389, 279, 15485, 13, 578, 2911, 6212, 682, 304, 264, 2872, 11, 1243, 46613, 324, 15812, 1523, 13, 5414, 6548, 74883, 439, 568, 5900, 311, 6212, 13, 362, 9235, 2115, 13, 43396, 6651, 19923, 86636, 304, 264, 19763, 662, 578, 6206, 51152, 433, 389, 264, 7147, 323, 9041, 433, 704, 311, 9235, 323, 311, 1005, 439, 10633, 13, 578, 10003, 357, 8099, 279, 2678, 4027, 1234, 279, 17677, 3419, 11, 1364, 9711, 304, 32720, 19923, 86636, 323, 46303, 389, 279, 4027, 449, 264, 42902, 9046, 13, 12362, 264, 17282, 9998, 311, 40336, 20415, 11, 13353, 433, 2212, 13, 98173, 709, 3090, 505, 264, 1664, 311, 53105, 349, 264, 2115, 13, 44472, 69417, 5829, 19488, 268, 311, 6958, 279, 3090, 709, 505, 279, 1664, 13, 578, 10160, 448, 10800, 6288, 13, 10164, 67807, 927, 279, 6964, 315, 279, 2115, 13, 362, 1664, 628, 1409, 291, 2115, 315, 6453, 3776, 17614, 13, 362, 293, 3852, 276, 5021, 11, 279, 3026, 9762, 1234, 433, 439, 279, 3278, 1522, 555, 311, 636, 3090, 304, 279, 51131, 389, 872, 14971, 13, 1628, 9191, 893, 1554, 8099, 13, 578, 2362, 893, 67807, 15600, 1139, 813, 829, 60496, 323, 6209, 433, 311, 44472, 69417, 13, 362, 1450, 25562, 264, 29519, 13, 362, 2678, 74648, 477, 27850, 13, 44472, 69417, 5900, 1070, 311, 24739, 13, 44472, 69417, 20722, 813, 19488, 268, 61519, 311, 3157, 927, 95088, 4363, 13, 362, 1684, 505, 279, 10954, 315, 279, 19488, 268, 61519, 13, 362, 3157, 304, 459, 1825, 2115, 13, 650, 33985, 323, 37249, 305, 351, 3491, 369, 264, 45663, 13, 44472, 69417, 26967, 1771, 449, 1403, 3026, 304, 4251, 505, 279, 3363, 13, 18343, 19123, 527, 7318, 1139, 813, 1450, 13, 1283, 21935, 704, 5684, 19123, 311, 813, 41247, 13, 578, 41247, 23874, 304, 682, 813, 1913, 727, 13, 44472, 69417, 17501, 369, 264, 11941, 13, 578, 2363, 19393, 5992, 520, 813, 2363, 323, 13912, 53395, 315, 279, 3300, 49009, 13, 44472, 69417, 5334, 813, 3300, 323, 374, 1633, 43788, 7119, 279, 41247, 13, 578, 1828, 893, 4131, 3235, 311, 2610, 369, 264, 11941, 627, 1163, 526, 69417, 20722, 813, 19488, 268, 23062, 264, 23162, 628, 1409, 13, 578, 628, 1409, 15455, 1139, 279, 2115, 13, 44472, 69417, 18417, 369, 264, 4545, 323, 84638, 813, 52354, 13, 578, 10003, 67807, 10533, 1139, 1077, 27698, 21726, 263, 13, 5414, 7555, 11263, 44472, 324, 1523, 279, 2872, 449, 264, 26078, 11, 902, 1364, 1377, 2076, 3235, 279, 5015, 323, 9711, 279, 10533, 304, 433, 13, 578, 4538, 3727, 264, 44030, 52905, 13, 44472, 69417, 5900, 311, 279, 27850, 1578, 13, 362, 2472, 315, 6890, 11, 5789, 1501, 279, 3169, 315, 31665, 15042, 13, 362, 9257, 24428, 2115, 11, 2115, 7487, 3820, 279, 24428, 68543, 1022, 279, 23962, 13, 36798, 3820, 15600, 13, 11258, 323, 3278, 3820, 20228, 13, 666, 2548, 287, 34153, 13, 36798, 4018, 13465, 63335, 13, 362, 6908, 31212, 2539, 315, 57871, 315, 3691, 13, 666, 25156, 57871, 1523, 264, 95480, 13, 362, 1684, 315, 264, 35335, 3363, 1376, 264, 24898, 13, 362, 13734, 315, 1274, 5425, 279, 8761, 304, 832, 315, 279, 9919, 13, 362, 6908, 24428, 8803, 13, 362, 9235, 43939, 2115, 13, 362, 2472, 323, 1243, 2678, 64881, 311, 60849, 349, 20957, 505, 1023, 5961, 323, 2678, 57871, 315, 3691, 311, 1501, 55394, 7692, 13, 18122, 4535, 8961, 58348, 13, 1856, 1409, 287, 449, 19488, 268, 7411, 13, 1556, 20270, 261, 29633, 449, 374, 7487, 11, 814, 18046, 1203, 311, 1461, 13, 22989, 11824, 596, 30, 4901, 311, 6273, 553, 4363, 3268, 2637, 568, 374, 8272, 1139, 264, 6424, 555, 264, 13734, 13, 362, 6574, 369, 4363, 8141, 13, 48994, 12365, 323, 11689, 449, 813, 20723, 13, 11258, 12588, 54811, 311, 279, 4363, 814, 1866, 5380, 32, 2472, 315, 6890, 9204, 3090, 323, 63566, 7224, 13, 9220, 61080, 315, 20228, 11, 264, 1450, 50087, 1725, 20228, 505, 832, 19763, 13, 1556, 29149, 11326, 293, 31044, 20228, 389, 832, 1450, 13, 578, 3026, 14624, 311, 1461, 1935, 8554, 13, 13596, 4967, 3882, 304, 279, 5151, 13, 8771, 7487, 1005, 8162, 82025, 13, 362, 24978, 13, 578, 4236, 520, 872, 76915, 627, 1271, 1715, 810, 3649, 389, 420, 4632, 11, 4587, 3729, 603, 57618, 17042, 1396, 220, 19242, 16, 13, 128001, 128000, 27, 876, 1284, 1590, 29, 1041, 12, 1041, 15, 198, 72088, 353, 220, 7177, 14, 40499, 12986, 11078, 17, 7356, 198, 1235, 353, 220, 3744, 315, 279, 4015, 6277, 43, 13, 3580, 1795, 1129, 267, 4239, 75, 56315, 5181, 198, 1235, 353, 220, 3028, 320, 34, 8, 220, 679, 16, 366, 7687, 29, 1134, 37004, 40171, 1235, 353, 220, 45055, 1234, 279, 34507, 4476, 1914, 11, 6207, 220, 16, 13, 15, 627, 353, 220, 320, 10031, 24442, 1052, 12367, 62, 16, 62, 15, 3996, 477, 3048, 520, 198, 353, 220, 1795, 1129, 2185, 86158, 2726, 11082, 62, 16, 62, 15, 3996, 340, 17994, 8851, 1467, 4015, 6277, 43, 53202, 17871, 220, 15, 271, 322, 357, 4239, 75, 487, 4687, 5727, 32690, 2523, 83, 919, 198, 1467, 4015, 6277, 43, 9278, 83176, 220, 16, 271, 1085, 366, 267, 4239, 75, 14, 4687, 1363, 5399, 357, 4239, 75, 487, 2557, 1227, 856, 1857, 401, 322, 9770, 82228, 198, 4308, 538, 357, 4239, 75, 487, 4687, 27, 2465, 1857, 19985, 396, 1925, 1577, 12107, 11, 1181, 334, 10424, 340, 517, 262, 422, 320, 24189, 366, 220, 17, 340, 262, 341, 286, 1487, 487, 6232, 1134, 330, 15126, 25, 330, 1134, 10424, 58, 15, 60, 1134, 330, 510, 77, 304, 21402, 33, 19727, 1134, 1487, 487, 5449, 280, 286, 471, 482, 16, 280, 262, 557, 262, 357, 4239, 75, 487, 396, 1227, 40487, 284, 220, 16, 1134, 220, 508, 280, 262, 357, 4239, 75, 487, 396, 1227, 19262, 72229, 284, 26293, 15689, 58, 16, 2622, 262, 357, 4239, 75, 487, 396, 1227, 841, 91555, 284, 19262, 72229, 353, 40487, 611, 4022, 14267, 1857, 317, 262, 357, 4239, 75, 487, 396, 1227, 602, 280, 262, 856, 1857, 304, 284, 220, 15, 11, 704, 284, 220, 15, 401, 262, 357, 4239, 75, 487, 4687, 27, 2465, 1857, 29, 2874, 401, 262, 4015, 6277, 43, 14709, 446, 454, 7962, 4474, 25, 320, 4585, 11, 2477, 11, 4585, 883, 353, 308, 803, 262, 369, 320, 72, 284, 220, 15, 26, 602, 366, 841, 91555, 26, 3526, 72, 340, 262, 341, 286, 422, 1819, 72, 1034, 40487, 8, 624, 220, 15, 340, 310, 4015, 6277, 43, 14709, 446, 14099, 330, 1134, 602, 629, 286, 2874, 2615, 6024, 1044, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 401, 286, 2874, 2615, 6024, 41742, 262, 457, 262, 4015, 6277, 43, 14709, 446, 454, 7962, 4474, 25, 320, 2477, 11, 4585, 11, 2477, 883, 353, 308, 803, 262, 369, 320, 2652, 602, 871, 220, 15, 26, 1198, 72, 340, 262, 341, 286, 422, 1819, 72, 1034, 40487, 8, 624, 220, 15, 340, 310, 4015, 6277, 43, 14709, 446, 13319, 330, 1134, 602, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 401, 286, 2874, 2615, 6024, 1044, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 280, 262, 457, 262, 4015, 6277, 43, 12042, 10806, 9357, 1449, 262, 4015, 6277, 43, 12042, 6024, 624, 704, 629, 262, 1487, 487, 6232, 1134, 353, 267, 4239, 75, 487, 16658, 487, 456, 12169, 1454, 262, 471, 220, 15, 280, 534, 128001 ]
[ -100, 37, 34002, 489, 58320, 9601, 765, 220, 6280, 15, 765, 14936, 765, 426, 22964, 198, 2127, 2930, 4632, 12607, 374, 539, 2561, 3686, 11, 4587, 3729, 603, 369, 264, 20705, 198, 32, 13130, 554, 304, 6890, 11, 19624, 2324, 11, 264, 90038, 37500, 16696, 311, 1304, 264, 5496, 13, 5414, 3838, 323, 3070, 11, 11486, 24875, 304, 279, 3157, 220, 6280, 15, 596, 198, 46, 87, 268, 23062, 66504, 315, 18137, 304, 264, 61243, 2115, 13, 11258, 323, 13305, 2503, 477, 1514, 1234, 264, 5021, 11, 4920, 11, 3026, 4321, 1523, 279, 8761, 449, 51131, 389, 872, 14971, 13, 362, 1716, 77511, 1523, 264, 32703, 604, 537, 13, 578, 19488, 268, 527, 3063, 1139, 264, 33419, 449, 264, 430, 2454, 15485, 13, 362, 5333, 323, 1077, 10003, 10772, 264, 15496, 11, 279, 5333, 81844, 82, 6558, 1139, 264, 19763, 13, 578, 37500, 29933, 323, 5097, 1022, 813, 13535, 6993, 323, 5900, 1139, 279, 3130, 1405, 279, 3278, 527, 13, 578, 10003, 5992, 709, 449, 264, 15648, 13, 578, 3136, 20646, 279, 15496, 11, 279, 6691, 3352, 1303, 704, 16385, 13, 578, 7126, 23874, 1523, 304, 279, 9309, 323, 813, 7555, 12716, 1461, 813, 3691, 11, 578, 14992, 2911, 2586, 304, 323, 814, 527, 10434, 439, 1664, 11, 814, 2503, 389, 279, 6558, 11, 539, 520, 264, 2007, 477, 389, 264, 5634, 13, 578, 37148, 323, 31107, 12295, 315, 2678, 15316, 13, 46613, 324, 279, 7126, 1554, 8099, 264, 36213, 389, 279, 15485, 13, 578, 2911, 6212, 682, 304, 264, 2872, 11, 1243, 46613, 324, 15812, 1523, 13, 5414, 6548, 74883, 439, 568, 5900, 311, 6212, 13, 362, 9235, 2115, 13, 43396, 6651, 19923, 86636, 304, 264, 19763, 662, 578, 6206, 51152, 433, 389, 264, 7147, 323, 9041, 433, 704, 311, 9235, 323, 311, 1005, 439, 10633, 13, 578, 10003, 357, 8099, 279, 2678, 4027, 1234, 279, 17677, 3419, 11, 1364, 9711, 304, 32720, 19923, 86636, 323, 46303, 389, 279, 4027, 449, 264, 42902, 9046, 13, 12362, 264, 17282, 9998, 311, 40336, 20415, 11, 13353, 433, 2212, 13, 98173, 709, 3090, 505, 264, 1664, 311, 53105, 349, 264, 2115, 13, 44472, 69417, 5829, 19488, 268, 311, 6958, 279, 3090, 709, 505, 279, 1664, 13, 578, 10160, 448, 10800, 6288, 13, 10164, 67807, 927, 279, 6964, 315, 279, 2115, 13, 362, 1664, 628, 1409, 291, 2115, 315, 6453, 3776, 17614, 13, 362, 293, 3852, 276, 5021, 11, 279, 3026, 9762, 1234, 433, 439, 279, 3278, 1522, 555, 311, 636, 3090, 304, 279, 51131, 389, 872, 14971, 13, 1628, 9191, 893, 1554, 8099, 13, 578, 2362, 893, 67807, 15600, 1139, 813, 829, 60496, 323, 6209, 433, 311, 44472, 69417, 13, 362, 1450, 25562, 264, 29519, 13, 362, 2678, 74648, 477, 27850, 13, 44472, 69417, 5900, 1070, 311, 24739, 13, 44472, 69417, 20722, 813, 19488, 268, 61519, 311, 3157, 927, 95088, 4363, 13, 362, 1684, 505, 279, 10954, 315, 279, 19488, 268, 61519, 13, 362, 3157, 304, 459, 1825, 2115, 13, 650, 33985, 323, 37249, 305, 351, 3491, 369, 264, 45663, 13, 44472, 69417, 26967, 1771, 449, 1403, 3026, 304, 4251, 505, 279, 3363, 13, 18343, 19123, 527, 7318, 1139, 813, 1450, 13, 1283, 21935, 704, 5684, 19123, 311, 813, 41247, 13, 578, 41247, 23874, 304, 682, 813, 1913, 727, 13, 44472, 69417, 17501, 369, 264, 11941, 13, 578, 2363, 19393, 5992, 520, 813, 2363, 323, 13912, 53395, 315, 279, 3300, 49009, 13, 44472, 69417, 5334, 813, 3300, 323, 374, 1633, 43788, 7119, 279, 41247, 13, 578, 1828, 893, 4131, 3235, 311, 2610, 369, 264, 11941, 627, 1163, 526, 69417, 20722, 813, 19488, 268, 23062, 264, 23162, 628, 1409, 13, 578, 628, 1409, 15455, 1139, 279, 2115, 13, 44472, 69417, 18417, 369, 264, 4545, 323, 84638, 813, 52354, 13, 578, 10003, 67807, 10533, 1139, 1077, 27698, 21726, 263, 13, 5414, 7555, 11263, 44472, 324, 1523, 279, 2872, 449, 264, 26078, 11, 902, 1364, 1377, 2076, 3235, 279, 5015, 323, 9711, 279, 10533, 304, 433, 13, 578, 4538, 3727, 264, 44030, 52905, 13, 44472, 69417, 5900, 311, 279, 27850, 1578, 13, 362, 2472, 315, 6890, 11, 5789, 1501, 279, 3169, 315, 31665, 15042, 13, 362, 9257, 24428, 2115, 11, 2115, 7487, 3820, 279, 24428, 68543, 1022, 279, 23962, 13, 36798, 3820, 15600, 13, 11258, 323, 3278, 3820, 20228, 13, 666, 2548, 287, 34153, 13, 36798, 4018, 13465, 63335, 13, 362, 6908, 31212, 2539, 315, 57871, 315, 3691, 13, 666, 25156, 57871, 1523, 264, 95480, 13, 362, 1684, 315, 264, 35335, 3363, 1376, 264, 24898, 13, 362, 13734, 315, 1274, 5425, 279, 8761, 304, 832, 315, 279, 9919, 13, 362, 6908, 24428, 8803, 13, 362, 9235, 43939, 2115, 13, 362, 2472, 323, 1243, 2678, 64881, 311, 60849, 349, 20957, 505, 1023, 5961, 323, 2678, 57871, 315, 3691, 311, 1501, 55394, 7692, 13, 18122, 4535, 8961, 58348, 13, 1856, 1409, 287, 449, 19488, 268, 7411, 13, 1556, 20270, 261, 29633, 449, 374, 7487, 11, 814, 18046, 1203, 311, 1461, 13, 22989, 11824, 596, 30, 4901, 311, 6273, 553, 4363, 3268, 2637, 568, 374, 8272, 1139, 264, 6424, 555, 264, 13734, 13, 362, 6574, 369, 4363, 8141, 13, 48994, 12365, 323, 11689, 449, 813, 20723, 13, 11258, 12588, 54811, 311, 279, 4363, 814, 1866, 5380, 32, 2472, 315, 6890, 9204, 3090, 323, 63566, 7224, 13, 9220, 61080, 315, 20228, 11, 264, 1450, 50087, 1725, 20228, 505, 832, 19763, 13, 1556, 29149, 11326, 293, 31044, 20228, 389, 832, 1450, 13, 578, 3026, 14624, 311, 1461, 1935, 8554, 13, 13596, 4967, 3882, 304, 279, 5151, 13, 8771, 7487, 1005, 8162, 82025, 13, 362, 24978, 13, 578, 4236, 520, 872, 76915, 627, 1271, 1715, 810, 3649, 389, 420, 4632, 11, 4587, 3729, 603, 57618, 17042, 1396, 220, 19242, 16, 13, 128001, -100, 27, 876, 1284, 1590, 29, 1041, 12, 1041, 15, 198, 72088, 353, 220, 7177, 14, 40499, 12986, 11078, 17, 7356, 198, 1235, 353, 220, 3744, 315, 279, 4015, 6277, 43, 13, 3580, 1795, 1129, 267, 4239, 75, 56315, 5181, 198, 1235, 353, 220, 3028, 320, 34, 8, 220, 679, 16, 366, 7687, 29, 1134, 37004, 40171, 1235, 353, 220, 45055, 1234, 279, 34507, 4476, 1914, 11, 6207, 220, 16, 13, 15, 627, 353, 220, 320, 10031, 24442, 1052, 12367, 62, 16, 62, 15, 3996, 477, 3048, 520, 198, 353, 220, 1795, 1129, 2185, 86158, 2726, 11082, 62, 16, 62, 15, 3996, 340, 17994, 8851, 1467, 4015, 6277, 43, 53202, 17871, 220, 15, 271, 322, 357, 4239, 75, 487, 4687, 5727, 32690, 2523, 83, 919, 198, 1467, 4015, 6277, 43, 9278, 83176, 220, 16, 271, 1085, 366, 267, 4239, 75, 14, 4687, 1363, 5399, 357, 4239, 75, 487, 2557, 1227, 856, 1857, 401, 322, 9770, 82228, 198, 4308, 538, 357, 4239, 75, 487, 4687, 27, 2465, 1857, 19985, 396, 1925, 1577, 12107, 11, 1181, 334, 10424, 340, 517, 262, 422, 320, 24189, 366, 220, 17, 340, 262, 341, 286, 1487, 487, 6232, 1134, 330, 15126, 25, 330, 1134, 10424, 58, 15, 60, 1134, 330, 510, 77, 304, 21402, 33, 19727, 1134, 1487, 487, 5449, 280, 286, 471, 482, 16, 280, 262, 557, 262, 357, 4239, 75, 487, 396, 1227, 40487, 284, 220, 16, 1134, 220, 508, 280, 262, 357, 4239, 75, 487, 396, 1227, 19262, 72229, 284, 26293, 15689, 58, 16, 2622, 262, 357, 4239, 75, 487, 396, 1227, 841, 91555, 284, 19262, 72229, 353, 40487, 611, 4022, 14267, 1857, 317, 262, 357, 4239, 75, 487, 396, 1227, 602, 280, 262, 856, 1857, 304, 284, 220, 15, 11, 704, 284, 220, 15, 401, 262, 357, 4239, 75, 487, 4687, 27, 2465, 1857, 29, 2874, 401, 262, 4015, 6277, 43, 14709, 446, 454, 7962, 4474, 25, 320, 4585, 11, 2477, 11, 4585, 883, 353, 308, 803, 262, 369, 320, 72, 284, 220, 15, 26, 602, 366, 841, 91555, 26, 3526, 72, 340, 262, 341, 286, 422, 1819, 72, 1034, 40487, 8, 624, 220, 15, 340, 310, 4015, 6277, 43, 14709, 446, 14099, 330, 1134, 602, 629, 286, 2874, 2615, 6024, 1044, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 401, 286, 2874, 2615, 6024, 41742, 262, 457, 262, 4015, 6277, 43, 14709, 446, 454, 7962, 4474, 25, 320, 2477, 11, 4585, 11, 2477, 883, 353, 308, 803, 262, 369, 320, 2652, 602, 871, 220, 15, 26, 1198, 72, 340, 262, 341, 286, 422, 1819, 72, 1034, 40487, 8, 624, 220, 15, 340, 310, 4015, 6277, 43, 14709, 446, 13319, 330, 1134, 602, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 401, 286, 2874, 2615, 6024, 1044, 629, 286, 4015, 6277, 43, 12042, 10806, 24340, 368, 624, 704, 317, 286, 2874, 8452, 545, 286, 3526, 412, 280, 262, 457, 262, 4015, 6277, 43, 12042, 10806, 9357, 1449, 262, 4015, 6277, 43, 12042, 6024, 624, 704, 629, 262, 1487, 487, 6232, 1134, 353, 267, 4239, 75, 487, 16658, 487, 456, 12169, 1454, 262, 471, 220, 15, 280, 534, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537 ]
[ 128000, 32, 99425, 99066, 29933, 264, 3130, 1405, 3691, 374, 8340, 304, 832, 315, 1403, 47584, 24794, 13, 362, 3823, 56086, 288, 520, 279, 5593, 430, 58704, 279, 3691, 13, 1050, 14576, 369, 433, 449, 704, 267, 62837, 6916, 13, 49195, 279, 5593, 449, 264, 23162, 2565, 13, 578, 523, 6802, 3250, 1431, 636, 279, 1984, 11, 1524, 3582, 99425, 3059, 288, 527, 832, 315, 84497, 82295, 729, 529, 1403, 18585, 1327, 519, 550, 3509, 29658, 323, 2643, 387, 3685, 311, 7216, 433, 704, 13, 63711, 41416, 16549, 17520, 473, 548, 323, 18105, 6818, 420, 1847, 449, 220, 806, 38094, 1725, 11, 323, 1193, 1403, 315, 279, 8271, 88, 1469, 288, 1511, 279, 97985, 57016, 311, 1505, 279, 3691, 627, 91, 62804, 897, 16549, 17520, 473, 548, 11, 6832, 2115, 374, 279, 15740, 315, 3823, 75310, 11, 449, 31760, 85546, 7511, 91, 53304, 3257, 555, 800, 84, 16870, 1215, 7511, 50040, 7980, 1253, 539, 387, 14792, 311, 4048, 430, 11888, 315, 220, 806, 12875, 304, 279, 1890, 6671, 12722, 1373, 279, 3823, 17738, 323, 1766, 279, 3691, 13, 362, 2585, 10368, 9749, 430, 54097, 574, 539, 264, 50498, 304, 3060, 9269, 627, 32, 37642, 9408, 555, 12966, 29933, 279, 3130, 13, 578, 2183, 318, 1992, 56086, 288, 520, 279, 49160, 291, 5593, 13, 21387, 520, 433, 13, 7570, 63070, 433, 13, 578, 37642, 3250, 1431, 2804, 3485, 6140, 389, 904, 315, 1521, 57016, 13, 31048, 12875, 323, 8254, 56271, 1935, 264, 2543, 13, 578, 12875, 1505, 810, 3691, 1109, 279, 56271, 304, 2077, 311, 1855, 315, 279, 2380, 9302, 57016, 11, 1524, 3582, 56271, 527, 12875, 529, 18585, 29658, 13, 35390, 3495, 555, 11291, 20680, 337, 56764, 323, 18105, 520, 279, 16591, 10181, 315, 12053, 304, 53182, 21770, 1634, 1124, 430, 682, 12875, 11, 505, 279, 24160, 7013, 1752, 311, 279, 11129, 2159, 269, 11, 505, 279, 27188, 2024, 7401, 311, 279, 32732, 89, 6870, 11, 58842, 505, 264, 1633, 2678, 1396, 315, 6460, 14875, 56271, 889, 12439, 17715, 220, 868, 11, 931, 1667, 4227, 627, 32, 42289, 5679, 29933, 279, 3130, 13, 1102, 11, 2288, 11, 14035, 3691, 2731, 1109, 38094, 1725, 323, 56271, 13, 473, 548, 11, 264, 18172, 4771, 19560, 5575, 520, 25996, 6832, 990, 574, 14090, 24853, 555, 279, 7639, 9878, 377, 10181, 304, 10057, 11, 342, 28109, 11, 323, 1243, 342, 28109, 323, 14618, 11, 449, 220, 843, 57725, 11, 29865, 304, 4325, 505, 11888, 311, 220, 1627, 5672, 11, 2737, 57725, 889, 1047, 1047, 2697, 3729, 449, 12966, 13, 578, 5845, 315, 264, 5679, 311, 45493, 279, 7438, 315, 813, 53492, 374, 65070, 11, 568, 45537, 11, 539, 9687, 927, 279, 3388, 315, 264, 5679, 753, 2324, 627, 71231, 872, 14955, 304, 10170, 14756, 1566, 4498, 11, 473, 548, 323, 813, 2128, 20536, 11, 1054, 9673, 14955, 4284, 430, 2391, 279, 1920, 315, 13018, 367, 11, 12875, 617, 1027, 4183, 369, 264, 743, 315, 3674, 1824, 51549, 671, 321, 3695, 430, 7431, 1124, 311, 19570, 449, 12966, 304, 5016, 5627, 2029, 5046, 279, 56271, 889, 18799, 2212, 264, 3190, 9703, 16026, 311, 4224, 548, 3691, 505, 279, 21512, 17817, 11, 8530, 279, 832, 1455, 76588, 520, 282, 589, 18238, 3823, 53492, 574, 279, 832, 1455, 4461, 311, 29761, 13, 19292, 459, 4216, 37642, 1773, 540, 9087, 264, 3823, 311, 19614, 323, 15662, 264, 2035, 555, 279, 4027, 430, 1648, 627, 39, 548, 13919, 430, 279, 5679, 18661, 459, 41993, 6964, 555, 6975, 311, 3619, 3823, 57016, 11, 430, 12966, 4183, 369, 40308, 279, 12875, 430, 1047, 420, 10151, 13, 2030, 11000, 435, 5362, 753, 14068, 1918, 374, 5042, 264, 555, 3107, 315, 13018, 367, 11, 539, 264, 46072, 3823, 5915, 627, 39, 548, 16388, 311, 13488, 279, 555, 3107, 31178, 304, 68600, 689, 420, 7474, 13, 362, 3495, 1912, 520, 279, 10181, 315, 356, 16820, 2508, 323, 84386, 304, 4723, 437, 83560, 4991, 11, 4857, 389, 990, 315, 279, 3389, 19465, 380, 88231, 735, 13, 426, 989, 64, 5230, 11, 706, 55187, 15310, 39935, 288, 369, 220, 1774, 1667, 11, 27397, 539, 369, 5542, 2968, 719, 369, 26555, 24639, 13, 330, 4599, 279, 32596, 1051, 3116, 5672, 2362, 1359, 2795, 473, 548, 11, 330, 64, 32185, 1053, 2559, 304, 4156, 315, 872, 36460, 13, 578, 32596, 889, 3782, 4741, 1051, 6924, 323, 9778, 5535, 311, 28875, 11, 279, 6305, 889, 7882, 3201, 1051, 11957, 839, 1210, 578, 39935, 288, 617, 13118, 3719, 82923, 268, 1409, 311, 387, 3838, 26159, 13, 320, 7009, 5614, 304, 1023, 5627, 11, 2288, 11, 439, 12875, 1550, 304, 872, 13018, 367, 13, 11205, 18742, 5614, 1933, 11, 872, 35202, 14264, 9333, 11, 814, 6244, 810, 92566, 458, 11, 323, 872, 25212, 2751, 92458, 13, 45480, 13468, 430, 330, 1962, 264, 3254, 13018, 10065, 649, 387, 7086, 902, 706, 539, 304, 1063, 3224, 7118, 34807, 25212, 1359, 264, 4668, 539, 1766, 304, 904, 8545, 10065, 3734, 279, 46840, 11, 279, 44798, 753, 16333, 664, 76, 10746, 1183, 332, 706, 10555, 29275, 12389, 279, 426, 989, 64, 5230, 15310, 39935, 288, 19426, 264, 5679, 4908, 5845, 311, 1373, 3823, 57016, 30, 1442, 779, 11, 279, 555, 3107, 31178, 690, 387, 60862, 11, 1606, 814, 1051, 539, 4183, 369, 5542, 2968, 13, 473, 548, 6944, 311, 1456, 279, 49160, 291, 12863, 1847, 389, 1521, 5016, 39935, 288, 11, 902, 617, 3719, 1652, 1195, 304, 13018, 367, 1109, 872, 8545, 38618, 11, 568, 2795, 11, 1120, 439, 12875, 1550, 13, 19292, 430, 690, 1520, 1124, 42645, 279, 7438, 315, 813, 342, 6795, 323, 22364, 323, 53728, 13, 578, 39935, 288, 1253, 387, 2731, 520, 9455, 279, 8340, 3691, 1109, 38094, 1725, 323, 56271, 11, 719, 690, 814, 656, 439, 1664, 439, 893, 753, 1888, 4333, 30, 473, 548, 706, 813, 3300, 389, 279, 12875, 627, 93, 26035, 36521, 198, 51188, 473, 548, 384, 11724, 2686, 25, 44089, 548, 99388, 60, 15192, 510, 16510, 60, 4960, 22329, 510, 16510, 60, 22160, 128001, 128000, 56339, 389, 7057, 25, 330, 51102, 287, 701, 47176, 66101, 51968, 36815, 512, 16, 34039, 287, 701, 47176, 578, 1183, 13070, 16905, 51102, 287, 701, 47176, 198, 17, 69946, 48349, 893, 4250, 3719, 264, 12084, 3156, 568, 16008, 279, 3789, 315, 813, 1866, 88867, 863, 4235, 79001, 33672, 3060, 2815, 264, 12084, 477, 3974, 1317, 3403, 311, 1518, 6261, 3719, 279, 40148, 863, 4235, 34422, 43911, 2118, 37, 349, 19029, 6880, 5304, 603, 520, 264, 4545, 315, 1057, 19301, 2029, 4235, 31197, 355, 12801, 198, 18, 21594, 35257, 315, 279, 1183, 13070, 16905, 34067, 315, 35482, 7342, 41041, 472, 689, 1389, 35279, 26784, 430, 12716, 922, 279, 17139, 88867, 3976, 575, 7870, 689, 1389, 59214, 315, 33415, 7263, 922, 555, 279, 35279, 12084, 753, 26784, 13245, 1121, 304, 459, 5376, 315, 659, 66104, 2136, 323, 659, 12934, 52286, 54049, 1873, 2011, 2733, 58043, 323, 8850, 369, 420, 3752, 198, 19, 7089, 4279, 25022, 6419, 13772, 4245, 311, 27639, 22519, 320, 27780, 6091, 8, 3234, 25111, 505, 279, 1212, 37, 349, 11352, 1555, 1866, 6299, 71744, 264, 11734, 477, 7808, 315, 3026, 50, 2084, 287, 315, 279, 12084, 2011, 617, 7438, 39782, 2744, 8762, 320, 34, 273, 454, 40658, 505, 97728, 323, 37102, 454, 40658, 340, 20, 18766, 1183, 13070, 38099, 10785, 398, 445, 7053, 1389, 16290, 315, 264, 16207, 1543, 31421, 9259, 1389, 763, 24062, 20671, 15546, 775, 30, 128001, 128000, 5847, 8689, 649, 4774, 25225, 751, 753, 11364, 80944, 555, 4737, 832, 315, 279, 1690, 10708, 311, 636, 6532, 304, 3090, 10034, 1418, 389, 13560, 13, 2052, 3235, 420, 14841, 315, 13962, 1070, 527, 12387, 24687, 5220, 889, 3085, 24826, 11, 51346, 323, 24009, 3600, 369, 264, 7029, 2134, 315, 3090, 6108, 7640, 369, 47950, 1314, 709, 311, 11084, 13, 763, 23756, 291, 14128, 1286, 63107, 1070, 374, 912, 39259, 315, 5220, 10209, 311, 4639, 51129, 323, 29592, 30463, 287, 11, 1418, 2212, 44501, 425, 13560, 20481, 649, 1456, 30608, 11, 1080, 5642, 4776, 11, 53555, 4857, 323, 40403, 50069, 4315, 1023, 2574, 13, 29900, 432, 3336, 320, 49, 21596, 763, 1517, 15436, 45332, 8, 32327, 5387, 445, 360, 20069, 65479, 304, 279, 7474, 11, 1418, 9581, 37947, 1802, 323, 43515, 527, 5526, 90887, 304, 468, 1216, 33780, 627, 2181, 753, 12266, 311, 3137, 922, 3070, 25425, 304, 25225, 751, 2085, 45391, 279, 16267, 315, 264, 3070, 1938, 704, 31376, 23330, 389, 1202, 11495, 84474, 16377, 13, 7648, 2911, 527, 61914, 555, 65375, 323, 81473, 11, 779, 3249, 539, 5249, 279, 2697, 6305, 323, 1427, 369, 1521, 11364, 5945, 1055, 17260, 315, 701, 13560, 30, 578, 1455, 5526, 35909, 527, 94216, 3263, 285, 11, 58600, 2969, 323, 40323, 785, 11, 719, 1070, 527, 11510, 315, 32415, 3967, 10687, 311, 1456, 3117, 505, 279, 296, 3071, 13734, 13, 362, 4034, 311, 279, 45873, 12252, 1103, 438, 435, 85061, 16730, 304, 94216, 3263, 285, 1389, 19937, 2539, 449, 86278, 40164, 1389, 374, 264, 11349, 311, 4048, 810, 922, 279, 864, 74416, 4325, 627, 37, 60004, 3021, 264, 11573, 323, 304, 25225, 751, 499, 527, 20016, 3036, 369, 5873, 13, 2468, 5526, 61545, 1093, 426, 98079, 11, 44501, 425, 323, 468, 1216, 33780, 1070, 527, 11364, 68539, 35909, 5636, 682, 279, 8776, 37375, 1389, 10054, 81316, 11, 9722, 26993, 5099, 13, 1442, 499, 1093, 701, 11573, 264, 2766, 8545, 261, 11, 2010, 369, 40323, 785, 1234, 18288, 59015, 11, 279, 68539, 568, 589, 1974, 520, 279, 1676, 818, 432, 4695, 33, 21137, 477, 7814, 1974, 13011, 449, 1202, 294, 8699, 323, 7138, 23291, 13, 7089, 5526, 35909, 2997, 423, 16468, 273, 25166, 323, 62027, 2418, 507, 6, 5111, 11573, 627, 37, 60004, 3021, 311, 3217, 323, 4048, 922, 7138, 3871, 11, 323, 1070, 527, 10283, 315, 7634, 311, 4034, 304, 25225, 751, 430, 690, 3041, 499, 279, 6140, 311, 656, 1120, 430, 13, 2684, 527, 45314, 5165, 22037, 1838, 13583, 311, 4034, 304, 279, 14189, 2737, 423, 1103, 7876, 14438, 5657, 3221, 44501, 425, 11, 37048, 369, 1202, 66591, 2668, 82, 11, 323, 386, 28884, 42648, 3345, 311, 69834, 5721, 11, 10555, 369, 1202, 64873, 3742, 13, 14128, 1286, 63107, 61191, 12224, 33218, 889, 49816, 311, 1518, 1860, 511, 1441, 77415, 1113, 1618, 2391, 872, 12172, 13, 42867, 304, 279, 75742, 374, 10690, 37541, 10951, 11, 902, 374, 15987, 555, 15688, 323, 2162, 311, 832, 315, 279, 1566, 9861, 49028, 315, 2579, 47050, 54883, 304, 9635, 627, 3947, 374, 1790, 315, 13970, 323, 32692, 2802, 304, 25225, 751, 430, 8689, 649, 4774, 323, 4048, 922, 2391, 872, 4822, 13, 578, 27373, 4563, 1897, 27987, 389, 279, 55365, 315, 14874, 55177, 706, 220, 16, 11, 931, 1667, 315, 3925, 505, 1202, 8246, 555, 12656, 279, 1221, 16339, 269, 311, 1202, 7276, 19814, 555, 21814, 30627, 1306, 279, 16803, 5111, 13, 578, 20441, 83942, 27987, 3221, 25225, 15163, 11, 1457, 7111, 1306, 555, 6498, 34243, 374, 682, 430, 8625, 315, 832, 315, 7928, 323, 1455, 6485, 16979, 13381, 24898, 75652, 304, 4606, 13, 763, 25225, 15163, 5196, 374, 7639, 30343, 1389, 2162, 311, 25225, 751, 753, 1455, 11495, 7061, 11355, 58374, 13, 578, 3424, 374, 1457, 13234, 555, 279, 5165, 17236, 323, 24330, 439, 433, 1053, 617, 1027, 2391, 58374, 753, 892, 13, 578, 36536, 527, 1101, 5922, 17136, 323, 2294, 369, 2911, 311, 13488, 627, 128001 ]
[ -100, 32, 99425, 99066, 29933, 264, 3130, 1405, 3691, 374, 8340, 304, 832, 315, 1403, 47584, 24794, 13, 362, 3823, 56086, 288, 520, 279, 5593, 430, 58704, 279, 3691, 13, 1050, 14576, 369, 433, 449, 704, 267, 62837, 6916, 13, 49195, 279, 5593, 449, 264, 23162, 2565, 13, 578, 523, 6802, 3250, 1431, 636, 279, 1984, 11, 1524, 3582, 99425, 3059, 288, 527, 832, 315, 84497, 82295, 729, 529, 1403, 18585, 1327, 519, 550, 3509, 29658, 323, 2643, 387, 3685, 311, 7216, 433, 704, 13, 63711, 41416, 16549, 17520, 473, 548, 323, 18105, 6818, 420, 1847, 449, 220, 806, 38094, 1725, 11, 323, 1193, 1403, 315, 279, 8271, 88, 1469, 288, 1511, 279, 97985, 57016, 311, 1505, 279, 3691, 627, 91, 62804, 897, 16549, 17520, 473, 548, 11, 6832, 2115, 374, 279, 15740, 315, 3823, 75310, 11, 449, 31760, 85546, 7511, 91, 53304, 3257, 555, 800, 84, 16870, 1215, 7511, 50040, 7980, 1253, 539, 387, 14792, 311, 4048, 430, 11888, 315, 220, 806, 12875, 304, 279, 1890, 6671, 12722, 1373, 279, 3823, 17738, 323, 1766, 279, 3691, 13, 362, 2585, 10368, 9749, 430, 54097, 574, 539, 264, 50498, 304, 3060, 9269, 627, 32, 37642, 9408, 555, 12966, 29933, 279, 3130, 13, 578, 2183, 318, 1992, 56086, 288, 520, 279, 49160, 291, 5593, 13, 21387, 520, 433, 13, 7570, 63070, 433, 13, 578, 37642, 3250, 1431, 2804, 3485, 6140, 389, 904, 315, 1521, 57016, 13, 31048, 12875, 323, 8254, 56271, 1935, 264, 2543, 13, 578, 12875, 1505, 810, 3691, 1109, 279, 56271, 304, 2077, 311, 1855, 315, 279, 2380, 9302, 57016, 11, 1524, 3582, 56271, 527, 12875, 529, 18585, 29658, 13, 35390, 3495, 555, 11291, 20680, 337, 56764, 323, 18105, 520, 279, 16591, 10181, 315, 12053, 304, 53182, 21770, 1634, 1124, 430, 682, 12875, 11, 505, 279, 24160, 7013, 1752, 311, 279, 11129, 2159, 269, 11, 505, 279, 27188, 2024, 7401, 311, 279, 32732, 89, 6870, 11, 58842, 505, 264, 1633, 2678, 1396, 315, 6460, 14875, 56271, 889, 12439, 17715, 220, 868, 11, 931, 1667, 4227, 627, 32, 42289, 5679, 29933, 279, 3130, 13, 1102, 11, 2288, 11, 14035, 3691, 2731, 1109, 38094, 1725, 323, 56271, 13, 473, 548, 11, 264, 18172, 4771, 19560, 5575, 520, 25996, 6832, 990, 574, 14090, 24853, 555, 279, 7639, 9878, 377, 10181, 304, 10057, 11, 342, 28109, 11, 323, 1243, 342, 28109, 323, 14618, 11, 449, 220, 843, 57725, 11, 29865, 304, 4325, 505, 11888, 311, 220, 1627, 5672, 11, 2737, 57725, 889, 1047, 1047, 2697, 3729, 449, 12966, 13, 578, 5845, 315, 264, 5679, 311, 45493, 279, 7438, 315, 813, 53492, 374, 65070, 11, 568, 45537, 11, 539, 9687, 927, 279, 3388, 315, 264, 5679, 753, 2324, 627, 71231, 872, 14955, 304, 10170, 14756, 1566, 4498, 11, 473, 548, 323, 813, 2128, 20536, 11, 1054, 9673, 14955, 4284, 430, 2391, 279, 1920, 315, 13018, 367, 11, 12875, 617, 1027, 4183, 369, 264, 743, 315, 3674, 1824, 51549, 671, 321, 3695, 430, 7431, 1124, 311, 19570, 449, 12966, 304, 5016, 5627, 2029, 5046, 279, 56271, 889, 18799, 2212, 264, 3190, 9703, 16026, 311, 4224, 548, 3691, 505, 279, 21512, 17817, 11, 8530, 279, 832, 1455, 76588, 520, 282, 589, 18238, 3823, 53492, 574, 279, 832, 1455, 4461, 311, 29761, 13, 19292, 459, 4216, 37642, 1773, 540, 9087, 264, 3823, 311, 19614, 323, 15662, 264, 2035, 555, 279, 4027, 430, 1648, 627, 39, 548, 13919, 430, 279, 5679, 18661, 459, 41993, 6964, 555, 6975, 311, 3619, 3823, 57016, 11, 430, 12966, 4183, 369, 40308, 279, 12875, 430, 1047, 420, 10151, 13, 2030, 11000, 435, 5362, 753, 14068, 1918, 374, 5042, 264, 555, 3107, 315, 13018, 367, 11, 539, 264, 46072, 3823, 5915, 627, 39, 548, 16388, 311, 13488, 279, 555, 3107, 31178, 304, 68600, 689, 420, 7474, 13, 362, 3495, 1912, 520, 279, 10181, 315, 356, 16820, 2508, 323, 84386, 304, 4723, 437, 83560, 4991, 11, 4857, 389, 990, 315, 279, 3389, 19465, 380, 88231, 735, 13, 426, 989, 64, 5230, 11, 706, 55187, 15310, 39935, 288, 369, 220, 1774, 1667, 11, 27397, 539, 369, 5542, 2968, 719, 369, 26555, 24639, 13, 330, 4599, 279, 32596, 1051, 3116, 5672, 2362, 1359, 2795, 473, 548, 11, 330, 64, 32185, 1053, 2559, 304, 4156, 315, 872, 36460, 13, 578, 32596, 889, 3782, 4741, 1051, 6924, 323, 9778, 5535, 311, 28875, 11, 279, 6305, 889, 7882, 3201, 1051, 11957, 839, 1210, 578, 39935, 288, 617, 13118, 3719, 82923, 268, 1409, 311, 387, 3838, 26159, 13, 320, 7009, 5614, 304, 1023, 5627, 11, 2288, 11, 439, 12875, 1550, 304, 872, 13018, 367, 13, 11205, 18742, 5614, 1933, 11, 872, 35202, 14264, 9333, 11, 814, 6244, 810, 92566, 458, 11, 323, 872, 25212, 2751, 92458, 13, 45480, 13468, 430, 330, 1962, 264, 3254, 13018, 10065, 649, 387, 7086, 902, 706, 539, 304, 1063, 3224, 7118, 34807, 25212, 1359, 264, 4668, 539, 1766, 304, 904, 8545, 10065, 3734, 279, 46840, 11, 279, 44798, 753, 16333, 664, 76, 10746, 1183, 332, 706, 10555, 29275, 12389, 279, 426, 989, 64, 5230, 15310, 39935, 288, 19426, 264, 5679, 4908, 5845, 311, 1373, 3823, 57016, 30, 1442, 779, 11, 279, 555, 3107, 31178, 690, 387, 60862, 11, 1606, 814, 1051, 539, 4183, 369, 5542, 2968, 13, 473, 548, 6944, 311, 1456, 279, 49160, 291, 12863, 1847, 389, 1521, 5016, 39935, 288, 11, 902, 617, 3719, 1652, 1195, 304, 13018, 367, 1109, 872, 8545, 38618, 11, 568, 2795, 11, 1120, 439, 12875, 1550, 13, 19292, 430, 690, 1520, 1124, 42645, 279, 7438, 315, 813, 342, 6795, 323, 22364, 323, 53728, 13, 578, 39935, 288, 1253, 387, 2731, 520, 9455, 279, 8340, 3691, 1109, 38094, 1725, 323, 56271, 11, 719, 690, 814, 656, 439, 1664, 439, 893, 753, 1888, 4333, 30, 473, 548, 706, 813, 3300, 389, 279, 12875, 627, 93, 26035, 36521, 198, 51188, 473, 548, 384, 11724, 2686, 25, 44089, 548, 99388, 60, 15192, 510, 16510, 60, 4960, 22329, 510, 16510, 60, 22160, 128001, -100, 56339, 389, 7057, 25, 330, 51102, 287, 701, 47176, 66101, 51968, 36815, 512, 16, 34039, 287, 701, 47176, 578, 1183, 13070, 16905, 51102, 287, 701, 47176, 198, 17, 69946, 48349, 893, 4250, 3719, 264, 12084, 3156, 568, 16008, 279, 3789, 315, 813, 1866, 88867, 863, 4235, 79001, 33672, 3060, 2815, 264, 12084, 477, 3974, 1317, 3403, 311, 1518, 6261, 3719, 279, 40148, 863, 4235, 34422, 43911, 2118, 37, 349, 19029, 6880, 5304, 603, 520, 264, 4545, 315, 1057, 19301, 2029, 4235, 31197, 355, 12801, 198, 18, 21594, 35257, 315, 279, 1183, 13070, 16905, 34067, 315, 35482, 7342, 41041, 472, 689, 1389, 35279, 26784, 430, 12716, 922, 279, 17139, 88867, 3976, 575, 7870, 689, 1389, 59214, 315, 33415, 7263, 922, 555, 279, 35279, 12084, 753, 26784, 13245, 1121, 304, 459, 5376, 315, 659, 66104, 2136, 323, 659, 12934, 52286, 54049, 1873, 2011, 2733, 58043, 323, 8850, 369, 420, 3752, 198, 19, 7089, 4279, 25022, 6419, 13772, 4245, 311, 27639, 22519, 320, 27780, 6091, 8, 3234, 25111, 505, 279, 1212, 37, 349, 11352, 1555, 1866, 6299, 71744, 264, 11734, 477, 7808, 315, 3026, 50, 2084, 287, 315, 279, 12084, 2011, 617, 7438, 39782, 2744, 8762, 320, 34, 273, 454, 40658, 505, 97728, 323, 37102, 454, 40658, 340, 20, 18766, 1183, 13070, 38099, 10785, 398, 445, 7053, 1389, 16290, 315, 264, 16207, 1543, 31421, 9259, 1389, 763, 24062, 20671, 15546, 775, 30, 128001, -100, 5847, 8689, 649, 4774, 25225, 751, 753, 11364, 80944, 555, 4737, 832, 315, 279, 1690, 10708, 311, 636, 6532, 304, 3090, 10034, 1418, 389, 13560, 13, 2052, 3235, 420, 14841, 315, 13962, 1070, 527, 12387, 24687, 5220, 889, 3085, 24826, 11, 51346, 323, 24009, 3600, 369, 264, 7029, 2134, 315, 3090, 6108, 7640, 369, 47950, 1314, 709, 311, 11084, 13, 763, 23756, 291, 14128, 1286, 63107, 1070, 374, 912, 39259, 315, 5220, 10209, 311, 4639, 51129, 323, 29592, 30463, 287, 11, 1418, 2212, 44501, 425, 13560, 20481, 649, 1456, 30608, 11, 1080, 5642, 4776, 11, 53555, 4857, 323, 40403, 50069, 4315, 1023, 2574, 13, 29900, 432, 3336, 320, 49, 21596, 763, 1517, 15436, 45332, 8, 32327, 5387, 445, 360, 20069, 65479, 304, 279, 7474, 11, 1418, 9581, 37947, 1802, 323, 43515, 527, 5526, 90887, 304, 468, 1216, 33780, 627, 2181, 753, 12266, 311, 3137, 922, 3070, 25425, 304, 25225, 751, 2085, 45391, 279, 16267, 315, 264, 3070, 1938, 704, 31376, 23330, 389, 1202, 11495, 84474, 16377, 13, 7648, 2911, 527, 61914, 555, 65375, 323, 81473, 11, 779, 3249, 539, 5249, 279, 2697, 6305, 323, 1427, 369, 1521, 11364, 5945, 1055, 17260, 315, 701, 13560, 30, 578, 1455, 5526, 35909, 527, 94216, 3263, 285, 11, 58600, 2969, 323, 40323, 785, 11, 719, 1070, 527, 11510, 315, 32415, 3967, 10687, 311, 1456, 3117, 505, 279, 296, 3071, 13734, 13, 362, 4034, 311, 279, 45873, 12252, 1103, 438, 435, 85061, 16730, 304, 94216, 3263, 285, 1389, 19937, 2539, 449, 86278, 40164, 1389, 374, 264, 11349, 311, 4048, 810, 922, 279, 864, 74416, 4325, 627, 37, 60004, 3021, 264, 11573, 323, 304, 25225, 751, 499, 527, 20016, 3036, 369, 5873, 13, 2468, 5526, 61545, 1093, 426, 98079, 11, 44501, 425, 323, 468, 1216, 33780, 1070, 527, 11364, 68539, 35909, 5636, 682, 279, 8776, 37375, 1389, 10054, 81316, 11, 9722, 26993, 5099, 13, 1442, 499, 1093, 701, 11573, 264, 2766, 8545, 261, 11, 2010, 369, 40323, 785, 1234, 18288, 59015, 11, 279, 68539, 568, 589, 1974, 520, 279, 1676, 818, 432, 4695, 33, 21137, 477, 7814, 1974, 13011, 449, 1202, 294, 8699, 323, 7138, 23291, 13, 7089, 5526, 35909, 2997, 423, 16468, 273, 25166, 323, 62027, 2418, 507, 6, 5111, 11573, 627, 37, 60004, 3021, 311, 3217, 323, 4048, 922, 7138, 3871, 11, 323, 1070, 527, 10283, 315, 7634, 311, 4034, 304, 25225, 751, 430, 690, 3041, 499, 279, 6140, 311, 656, 1120, 430, 13, 2684, 527, 45314, 5165, 22037, 1838, 13583, 311, 4034, 304, 279, 14189, 2737, 423, 1103, 7876, 14438, 5657, 3221, 44501, 425, 11, 37048, 369, 1202, 66591, 2668, 82, 11, 323, 386, 28884, 42648, 3345, 311, 69834, 5721, 11, 10555, 369, 1202, 64873, 3742, 13, 14128, 1286, 63107, 61191, 12224, 33218, 889, 49816, 311, 1518, 1860, 511, 1441, 77415, 1113, 1618, 2391, 872, 12172, 13, 42867, 304, 279, 75742, 374, 10690, 37541, 10951, 11, 902, 374, 15987, 555, 15688, 323, 2162, 311, 832, 315, 279, 1566, 9861, 49028, 315, 2579, 47050, 54883, 304, 9635, 627, 3947, 374, 1790, 315, 13970, 323, 32692, 2802, 304, 25225, 751, 430, 8689, 649, 4774, 323, 4048, 922, 2391, 872, 4822, 13, 578, 27373, 4563, 1897, 27987, 389, 279, 55365, 315, 14874, 55177, 706, 220, 16, 11, 931, 1667, 315, 3925, 505, 1202, 8246, 555, 12656, 279, 1221, 16339, 269, 311, 1202, 7276, 19814, 555, 21814, 30627, 1306, 279, 16803, 5111, 13, 578, 20441, 83942, 27987, 3221, 25225, 15163, 11, 1457, 7111, 1306, 555, 6498, 34243, 374, 682, 430, 8625, 315, 832, 315, 7928, 323, 1455, 6485, 16979, 13381, 24898, 75652, 304, 4606, 13, 763, 25225, 15163, 5196, 374, 7639, 30343, 1389, 2162, 311, 25225, 751, 753, 1455, 11495, 7061, 11355, 58374, 13, 578, 3424, 374, 1457, 13234, 555, 279, 5165, 17236, 323, 24330, 439, 433, 1053, 617, 1027, 2391, 58374, 753, 892, 13, 578, 36536, 527, 1101, 5922, 17136, 323, 2294, 369, 2911, 311, 13488, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642 ]
[ 128000, 5451, 11, 7838, 389, 701, 6201, 5224, 430, 701, 8323, 574, 13118, 15590, 13, 1442, 279, 8323, 574, 15590, 11, 4587, 7838, 430, 701, 4958, 13296, 12775, 1431, 1027, 73691, 11, 439, 433, 374, 3284, 279, 3392, 15590, 449, 279, 502, 4958, 13296, 13, 1442, 499, 649, 7838, 430, 279, 8323, 574, 15590, 555, 701, 6201, 311, 701, 3685, 11941, 4958, 13296, 11, 323, 433, 706, 1027, 4994, 315, 279, 14595, 220, 18, 12, 20, 2626, 1938, 892, 10074, 369, 8863, 11, 1243, 433, 374, 892, 311, 1650, 701, 11941, 4958, 13296, 311, 4358, 279, 3649, 315, 279, 7554, 8323, 13, 1115, 374, 459, 520, 89215, 15398, 11, 4869, 11, 449, 904, 8323, 8863, 11, 433, 374, 1695, 311, 4822, 389, 1948, 315, 701, 14507, 323, 1440, 1405, 814, 3207, 2133, 323, 994, 814, 3207, 9435, 13, 128001, 128000, 4599, 499, 12945, 66521, 11, 1070, 374, 912, 13353, 1203, 25, 3060, 499, 3021, 433, 477, 499, 12491, 433, 11, 719, 422, 499, 1093, 433, 11, 904, 1023, 955, 315, 11033, 690, 2873, 15234, 304, 17615, 323, 8333, 13, 578, 3488, 374, 420, 25, 3053, 499, 1304, 66521, 2085, 459, 66521, 5780, 30, 1226, 8850, 539, 627, 2675, 649, 1431, 1304, 66521, 2085, 459, 66521, 5780, 627, 17812, 35560, 11033, 374, 279, 2385, 315, 1690, 4595, 315, 11033, 1778, 439, 356, 680, 14912, 3394, 11, 6987, 668, 11, 323, 1690, 1023, 21662, 11, 323, 682, 315, 1124, 527, 10235, 1701, 264, 1633, 3361, 955, 315, 11033, 5780, 430, 5825, 603, 449, 1579, 7410, 311, 1054, 3479, 863, 279, 3090, 311, 1555, 5015, 11033, 627, 4897, 753, 279, 1401, 25, 264, 1579, 7410, 320, 3090, 80207, 7410, 520, 220, 24, 3703, 20903, 220, 16, 96705, 3112, 1524, 422, 499, 617, 459, 66521, 5780, 11, 499, 1253, 539, 636, 279, 12974, 17615, 279, 1176, 892, 1389, 539, 459, 4228, 3465, 422, 499, 617, 264, 11630, 66521, 5780, 627, 3923, 2671, 369, 66521, 12933, 656, 584, 617, 389, 279, 3157, 5380, 791, 1176, 3245, 499, 1288, 8666, 374, 1057, 66521, 11033, 25214, 8641, 11, 1405, 584, 690, 3371, 499, 922, 1202, 1925, 36486, 323, 13709, 9256, 11, 1243, 499, 649, 1935, 264, 1427, 520, 279, 10901, 84996, 389, 66521, 12933, 430, 584, 617, 5439, 11, 1405, 499, 690, 1505, 1063, 315, 279, 1455, 5526, 4211, 627, 3112, 422, 499, 1390, 311, 48335, 264, 2697, 810, 11, 499, 649, 1817, 279, 8544, 315, 35081, 66521, 12933, 477, 14881, 66521, 12933, 13, 7445, 95573, 11033, 29414, 527, 5423, 14791, 422, 499, 1541, 1431, 1390, 311, 1391, 49895, 701, 2324, 264, 2763, 20646, 701, 66521, 11033, 627, 6153, 5403, 1521, 8158, 11, 499, 1253, 617, 2736, 1047, 264, 1695, 4623, 315, 279, 11033, 5780, 499, 1205, 627, 3923, 11033, 12933, 315, 1855, 955, 656, 584, 7079, 5380, 791, 1888, 11630, 66521, 5780, 551, 3234, 499, 1390, 311, 1440, 902, 527, 279, 1888, 11630, 66521, 12933, 5380, 11787, 499, 13490, 279, 66521, 12933, 30, 3234, 499, 1390, 311, 1456, 279, 1888, 11033, 499, 649, 10772, 520, 2162, 5380, 1472, 1440, 430, 814, 527, 279, 1455, 17395, 311, 1005, 13, 2030, 422, 499, 1440, 1268, 311, 656, 433, 1664, 11, 279, 4367, 315, 279, 11033, 499, 649, 636, 374, 1633, 1579, 627, 5519, 499, 1390, 311, 1440, 902, 527, 279, 1888, 17392, 323, 2307, 95573, 11033, 12933, 5380, 5519, 499, 1390, 264, 12136, 17392, 11033, 25214, 430, 6835, 499, 264, 1695, 10747, 315, 11033, 30, 3161, 459, 18751, 46641, 5380, 25503, 12309, 6051, 11, 66521, 12933, 1051, 1193, 3970, 304, 6721, 63337, 1778, 439, 11033, 20021, 477, 15926, 11, 719, 430, 374, 912, 5129, 279, 1162, 627, 9642, 11, 449, 11630, 66521, 12933, 11, 499, 636, 7191, 2585, 927, 279, 4367, 315, 279, 66521, 12457, 13, 3161, 279, 17392, 6305, 11, 499, 690, 2585, 279, 8286, 315, 14812, 11, 323, 46345, 279, 50259, 892, 323, 1202, 11850, 527, 8831, 627, 5519, 499, 1205, 264, 1695, 11033, 311, 10772, 701, 66521, 5380, 14335, 13, 763, 5369, 311, 3515, 264, 1695, 66521, 5780, 520, 2162, 11, 499, 527, 2133, 311, 617, 311, 3780, 1695, 11033, 27994, 323, 40336, 1124, 520, 2162, 13, 1472, 690, 387, 14792, 555, 279, 3428, 3430, 7863, 311, 92508, 35560, 477, 25227, 346, 49720, 78, 11033, 65879, 13, 578, 19523, 649, 387, 24779, 627, 4897, 1071, 11, 584, 656, 539, 7079, 430, 499, 3780, 279, 43149, 11033, 27994, 389, 279, 3157, 11, 323, 3485, 682, 11, 499, 1288, 539, 3780, 54662, 11033, 320, 275, 46762, 279, 11033, 5780, 4390, 3915, 220, 605, 12, 868, 20121, 824, 21647, 315, 11033, 505, 11033, 27994, 11, 499, 690, 6994, 264, 1633, 1695, 4367, 13, 1789, 922, 400, 508, 22104, 220, 914, 11, 499, 690, 387, 3025, 311, 3780, 264, 11033, 21059, 315, 1633, 1695, 4367, 323, 17615, 627, 1271, 1373, 1101, 25, 18609, 7973, 46, 31750, 36452, 25, 38535, 40702, 3247, 69649, 19324, 5380, 5519, 499, 1205, 264, 11033, 46641, 5380, 2746, 499, 617, 11021, 264, 11630, 66521, 5780, 11, 499, 690, 1205, 264, 1695, 46641, 311, 40336, 701, 11033, 27994, 13, 12334, 311, 3780, 5015, 11033, 11, 902, 304, 279, 842, 36263, 11201, 627, 2746, 499, 617, 11021, 459, 17392, 66521, 5780, 11, 433, 690, 2586, 449, 264, 46641, 5343, 627, 17812, 35560, 10095, 5633, 527, 1903, 449, 264, 1790, 73886, 40336, 1109, 1148, 499, 1053, 1005, 369, 264, 8753, 477, 73599, 11033, 25214, 627, 3923, 374, 279, 10728, 10747, 369, 459, 15155, 99590, 5380, 2181, 374, 264, 4251, 78742, 10747, 11, 1949, 315, 904, 15135, 20841, 11, 78883, 950, 304, 6211, 11, 449, 264, 8824, 315, 220, 1135, 311, 220, 1041, 2606, 3748, 388, 13, 1115, 374, 279, 1193, 10747, 304, 902, 433, 374, 3284, 311, 15763, 279, 11341, 315, 459, 9250, 32183, 13, 2100, 279, 27498, 374, 279, 22843, 323, 279, 8369, 323, 11113, 12945, 315, 66521, 11033, 627, 3112, 584, 4250, 10894, 430, 1695, 11033, 374, 1101, 6118, 24895, 555, 1695, 3347, 4108, 13, 97333, 617, 433, 1633, 2867, 627, 3923, 374, 279, 3430, 315, 66521, 12933, 5380, 2675, 649, 3780, 459, 66521, 5780, 505, 2212, 220, 1954, 33588, 311, 220, 2636, 33588, 477, 810, 11, 902, 690, 10383, 1202, 4367, 323, 17910, 13, 74603, 11, 1611, 6720, 6151, 11, 549, 69, 23174, 11, 16852, 8772, 11, 72325, 11, 477, 16233, 55397, 617, 1063, 315, 279, 1455, 11472, 4211, 449, 279, 1888, 8544, 627, 3923, 1023, 3072, 656, 584, 617, 311, 1304, 264, 11033, 4528, 311, 66521, 5380, 9673, 20930, 11033, 12933, 527, 6319, 311, 1304, 11033, 6847, 11, 4528, 311, 430, 315, 279, 11033, 73599, 719, 649, 37377, 1202, 21261, 11911, 389, 279, 3090, 311, 2231, 17615, 13, 2052, 617, 264, 38752, 3213, 43081, 311, 10772, 14403, 32183, 320, 1820, 2466, 6811, 449, 73599, 13091, 17323, 4390, 37220, 5784, 374, 1633, 4528, 311, 430, 315, 66521, 11033, 12933, 13, 2435, 617, 264, 4141, 12102, 449, 264, 3790, 323, 264, 4141, 14614, 1903, 315, 25468, 9699, 1405, 584, 2231, 279, 5015, 11033, 13, 8442, 11, 814, 527, 1633, 4228, 311, 1005, 11, 23917, 11, 323, 3085, 2753, 7410, 13, 3011, 753, 3249, 279, 12945, 315, 11033, 374, 2204, 627, 128001, 128000, 92928, 6108, 12205, 6373, 5452, 800, 1003, 79384, 706, 9408, 328, 3, 1313, 13, 18, 76, 1746, 845, 76, 8, 304, 1202, 11378, 356, 11006, 4883, 627, 791, 4883, 574, 6197, 555, 15992, 50766, 11, 264, 26255, 6864, 3887, 304, 8494, 13, 12649, 3315, 37409, 77990, 323, 279, 2883, 753, 6484, 30693, 36944, 80353, 75896, 1101, 31408, 304, 279, 37419, 627, 2170, 961, 315, 279, 9341, 11, 15992, 50766, 8427, 350, 1136, 277, 11284, 690, 5249, 800, 1003, 79384, 753, 8925, 315, 46085, 627, 626, 1003, 79384, 6787, 311, 69152, 279, 502, 34555, 311, 1862, 1202, 6625, 14800, 439, 1664, 439, 43880, 2027, 4500, 627, 791, 3351, 4131, 7154, 264, 1060, 1306, 279, 2883, 9408, 400, 717, 76, 304, 264, 11378, 426, 4883, 11, 902, 574, 6197, 555, 36944, 80353, 75896, 627, 626, 1003, 79384, 1080, 36927, 323, 12432, 74406, 29042, 3370, 1071, 25, 1054, 2028, 502, 4883, 315, 29642, 4726, 96931, 800, 1003, 79384, 753, 8335, 11071, 2361, 11, 12967, 1057, 7318, 5352, 6864, 311, 328, 3, 1135, 13, 22, 76, 627, 31378, 5652, 4883, 690, 7431, 603, 311, 43880, 2027, 4500, 311, 2225, 84713, 323, 92792, 1057, 12205, 6373, 10209, 369, 1057, 8403, 304, 21181, 323, 28796, 11, 439, 1664, 439, 1862, 502, 3157, 4441, 49216, 80262, 1071, 25, 662, 89874, 85973, 304, 220, 679, 21, 11, 800, 1003, 79384, 6209, 9341, 323, 8515, 6373, 76808, 369, 11040, 323, 55325, 15167, 13, 578, 2883, 27149, 304, 21181, 323, 28796, 13, 128001, 128000, 40, 2846, 1101, 296, 494, 263, 11, 358, 1440, 1063, 14599, 92973, 430, 2643, 2019, 2555, 1093, 420, 1131, 8248, 358, 7655, 449, 279, 1023, 296, 494, 263, 389, 4661, 682, 315, 813, 6170, 13, 38267, 358, 4510, 320, 30712, 16801, 11, 539, 8993, 14610, 705, 430, 279, 1193, 2944, 584, 617, 1027, 3309, 311, 5766, 453, 331, 337, 374, 1606, 433, 374, 3629, 1511, 5076, 13, 9086, 20278, 11737, 13, 1628, 4359, 3309, 603, 311, 5766, 433, 1606, 433, 1053, 6458, 300, 36850, 6458, 25662, 287, 8689, 13, 1628, 8689, 527, 8792, 311, 279, 42582, 13, 53705, 32520, 323, 7556, 922, 433, 1093, 279, 330, 76, 494, 263, 1, 304, 279, 22380, 374, 539, 17339, 13, 128001, 128000, 2028, 3185, 2541, 449, 3116, 62707, 374, 1903, 304, 24922, 304, 264, 33247, 7732, 1742, 28135, 505, 47658, 7732, 13, 578, 6913, 3769, 374, 28135, 12457, 505, 1511, 14891, 477, 4857, 6956, 13, 69571, 13931, 315, 767, 97939, 1051, 37304, 1193, 26310, 7108, 13, 4349, 2530, 1253, 1782, 505, 279, 6945, 627, 128001 ]
[ -100, 5451, 11, 7838, 389, 701, 6201, 5224, 430, 701, 8323, 574, 13118, 15590, 13, 1442, 279, 8323, 574, 15590, 11, 4587, 7838, 430, 701, 4958, 13296, 12775, 1431, 1027, 73691, 11, 439, 433, 374, 3284, 279, 3392, 15590, 449, 279, 502, 4958, 13296, 13, 1442, 499, 649, 7838, 430, 279, 8323, 574, 15590, 555, 701, 6201, 311, 701, 3685, 11941, 4958, 13296, 11, 323, 433, 706, 1027, 4994, 315, 279, 14595, 220, 18, 12, 20, 2626, 1938, 892, 10074, 369, 8863, 11, 1243, 433, 374, 892, 311, 1650, 701, 11941, 4958, 13296, 311, 4358, 279, 3649, 315, 279, 7554, 8323, 13, 1115, 374, 459, 520, 89215, 15398, 11, 4869, 11, 449, 904, 8323, 8863, 11, 433, 374, 1695, 311, 4822, 389, 1948, 315, 701, 14507, 323, 1440, 1405, 814, 3207, 2133, 323, 994, 814, 3207, 9435, 13, 128001, -100, 4599, 499, 12945, 66521, 11, 1070, 374, 912, 13353, 1203, 25, 3060, 499, 3021, 433, 477, 499, 12491, 433, 11, 719, 422, 499, 1093, 433, 11, 904, 1023, 955, 315, 11033, 690, 2873, 15234, 304, 17615, 323, 8333, 13, 578, 3488, 374, 420, 25, 3053, 499, 1304, 66521, 2085, 459, 66521, 5780, 30, 1226, 8850, 539, 627, 2675, 649, 1431, 1304, 66521, 2085, 459, 66521, 5780, 627, 17812, 35560, 11033, 374, 279, 2385, 315, 1690, 4595, 315, 11033, 1778, 439, 356, 680, 14912, 3394, 11, 6987, 668, 11, 323, 1690, 1023, 21662, 11, 323, 682, 315, 1124, 527, 10235, 1701, 264, 1633, 3361, 955, 315, 11033, 5780, 430, 5825, 603, 449, 1579, 7410, 311, 1054, 3479, 863, 279, 3090, 311, 1555, 5015, 11033, 627, 4897, 753, 279, 1401, 25, 264, 1579, 7410, 320, 3090, 80207, 7410, 520, 220, 24, 3703, 20903, 220, 16, 96705, 3112, 1524, 422, 499, 617, 459, 66521, 5780, 11, 499, 1253, 539, 636, 279, 12974, 17615, 279, 1176, 892, 1389, 539, 459, 4228, 3465, 422, 499, 617, 264, 11630, 66521, 5780, 627, 3923, 2671, 369, 66521, 12933, 656, 584, 617, 389, 279, 3157, 5380, 791, 1176, 3245, 499, 1288, 8666, 374, 1057, 66521, 11033, 25214, 8641, 11, 1405, 584, 690, 3371, 499, 922, 1202, 1925, 36486, 323, 13709, 9256, 11, 1243, 499, 649, 1935, 264, 1427, 520, 279, 10901, 84996, 389, 66521, 12933, 430, 584, 617, 5439, 11, 1405, 499, 690, 1505, 1063, 315, 279, 1455, 5526, 4211, 627, 3112, 422, 499, 1390, 311, 48335, 264, 2697, 810, 11, 499, 649, 1817, 279, 8544, 315, 35081, 66521, 12933, 477, 14881, 66521, 12933, 13, 7445, 95573, 11033, 29414, 527, 5423, 14791, 422, 499, 1541, 1431, 1390, 311, 1391, 49895, 701, 2324, 264, 2763, 20646, 701, 66521, 11033, 627, 6153, 5403, 1521, 8158, 11, 499, 1253, 617, 2736, 1047, 264, 1695, 4623, 315, 279, 11033, 5780, 499, 1205, 627, 3923, 11033, 12933, 315, 1855, 955, 656, 584, 7079, 5380, 791, 1888, 11630, 66521, 5780, 551, 3234, 499, 1390, 311, 1440, 902, 527, 279, 1888, 11630, 66521, 12933, 5380, 11787, 499, 13490, 279, 66521, 12933, 30, 3234, 499, 1390, 311, 1456, 279, 1888, 11033, 499, 649, 10772, 520, 2162, 5380, 1472, 1440, 430, 814, 527, 279, 1455, 17395, 311, 1005, 13, 2030, 422, 499, 1440, 1268, 311, 656, 433, 1664, 11, 279, 4367, 315, 279, 11033, 499, 649, 636, 374, 1633, 1579, 627, 5519, 499, 1390, 311, 1440, 902, 527, 279, 1888, 17392, 323, 2307, 95573, 11033, 12933, 5380, 5519, 499, 1390, 264, 12136, 17392, 11033, 25214, 430, 6835, 499, 264, 1695, 10747, 315, 11033, 30, 3161, 459, 18751, 46641, 5380, 25503, 12309, 6051, 11, 66521, 12933, 1051, 1193, 3970, 304, 6721, 63337, 1778, 439, 11033, 20021, 477, 15926, 11, 719, 430, 374, 912, 5129, 279, 1162, 627, 9642, 11, 449, 11630, 66521, 12933, 11, 499, 636, 7191, 2585, 927, 279, 4367, 315, 279, 66521, 12457, 13, 3161, 279, 17392, 6305, 11, 499, 690, 2585, 279, 8286, 315, 14812, 11, 323, 46345, 279, 50259, 892, 323, 1202, 11850, 527, 8831, 627, 5519, 499, 1205, 264, 1695, 11033, 311, 10772, 701, 66521, 5380, 14335, 13, 763, 5369, 311, 3515, 264, 1695, 66521, 5780, 520, 2162, 11, 499, 527, 2133, 311, 617, 311, 3780, 1695, 11033, 27994, 323, 40336, 1124, 520, 2162, 13, 1472, 690, 387, 14792, 555, 279, 3428, 3430, 7863, 311, 92508, 35560, 477, 25227, 346, 49720, 78, 11033, 65879, 13, 578, 19523, 649, 387, 24779, 627, 4897, 1071, 11, 584, 656, 539, 7079, 430, 499, 3780, 279, 43149, 11033, 27994, 389, 279, 3157, 11, 323, 3485, 682, 11, 499, 1288, 539, 3780, 54662, 11033, 320, 275, 46762, 279, 11033, 5780, 4390, 3915, 220, 605, 12, 868, 20121, 824, 21647, 315, 11033, 505, 11033, 27994, 11, 499, 690, 6994, 264, 1633, 1695, 4367, 13, 1789, 922, 400, 508, 22104, 220, 914, 11, 499, 690, 387, 3025, 311, 3780, 264, 11033, 21059, 315, 1633, 1695, 4367, 323, 17615, 627, 1271, 1373, 1101, 25, 18609, 7973, 46, 31750, 36452, 25, 38535, 40702, 3247, 69649, 19324, 5380, 5519, 499, 1205, 264, 11033, 46641, 5380, 2746, 499, 617, 11021, 264, 11630, 66521, 5780, 11, 499, 690, 1205, 264, 1695, 46641, 311, 40336, 701, 11033, 27994, 13, 12334, 311, 3780, 5015, 11033, 11, 902, 304, 279, 842, 36263, 11201, 627, 2746, 499, 617, 11021, 459, 17392, 66521, 5780, 11, 433, 690, 2586, 449, 264, 46641, 5343, 627, 17812, 35560, 10095, 5633, 527, 1903, 449, 264, 1790, 73886, 40336, 1109, 1148, 499, 1053, 1005, 369, 264, 8753, 477, 73599, 11033, 25214, 627, 3923, 374, 279, 10728, 10747, 369, 459, 15155, 99590, 5380, 2181, 374, 264, 4251, 78742, 10747, 11, 1949, 315, 904, 15135, 20841, 11, 78883, 950, 304, 6211, 11, 449, 264, 8824, 315, 220, 1135, 311, 220, 1041, 2606, 3748, 388, 13, 1115, 374, 279, 1193, 10747, 304, 902, 433, 374, 3284, 311, 15763, 279, 11341, 315, 459, 9250, 32183, 13, 2100, 279, 27498, 374, 279, 22843, 323, 279, 8369, 323, 11113, 12945, 315, 66521, 11033, 627, 3112, 584, 4250, 10894, 430, 1695, 11033, 374, 1101, 6118, 24895, 555, 1695, 3347, 4108, 13, 97333, 617, 433, 1633, 2867, 627, 3923, 374, 279, 3430, 315, 66521, 12933, 5380, 2675, 649, 3780, 459, 66521, 5780, 505, 2212, 220, 1954, 33588, 311, 220, 2636, 33588, 477, 810, 11, 902, 690, 10383, 1202, 4367, 323, 17910, 13, 74603, 11, 1611, 6720, 6151, 11, 549, 69, 23174, 11, 16852, 8772, 11, 72325, 11, 477, 16233, 55397, 617, 1063, 315, 279, 1455, 11472, 4211, 449, 279, 1888, 8544, 627, 3923, 1023, 3072, 656, 584, 617, 311, 1304, 264, 11033, 4528, 311, 66521, 5380, 9673, 20930, 11033, 12933, 527, 6319, 311, 1304, 11033, 6847, 11, 4528, 311, 430, 315, 279, 11033, 73599, 719, 649, 37377, 1202, 21261, 11911, 389, 279, 3090, 311, 2231, 17615, 13, 2052, 617, 264, 38752, 3213, 43081, 311, 10772, 14403, 32183, 320, 1820, 2466, 6811, 449, 73599, 13091, 17323, 4390, 37220, 5784, 374, 1633, 4528, 311, 430, 315, 66521, 11033, 12933, 13, 2435, 617, 264, 4141, 12102, 449, 264, 3790, 323, 264, 4141, 14614, 1903, 315, 25468, 9699, 1405, 584, 2231, 279, 5015, 11033, 13, 8442, 11, 814, 527, 1633, 4228, 311, 1005, 11, 23917, 11, 323, 3085, 2753, 7410, 13, 3011, 753, 3249, 279, 12945, 315, 11033, 374, 2204, 627, 128001, -100, 92928, 6108, 12205, 6373, 5452, 800, 1003, 79384, 706, 9408, 328, 3, 1313, 13, 18, 76, 1746, 845, 76, 8, 304, 1202, 11378, 356, 11006, 4883, 627, 791, 4883, 574, 6197, 555, 15992, 50766, 11, 264, 26255, 6864, 3887, 304, 8494, 13, 12649, 3315, 37409, 77990, 323, 279, 2883, 753, 6484, 30693, 36944, 80353, 75896, 1101, 31408, 304, 279, 37419, 627, 2170, 961, 315, 279, 9341, 11, 15992, 50766, 8427, 350, 1136, 277, 11284, 690, 5249, 800, 1003, 79384, 753, 8925, 315, 46085, 627, 626, 1003, 79384, 6787, 311, 69152, 279, 502, 34555, 311, 1862, 1202, 6625, 14800, 439, 1664, 439, 43880, 2027, 4500, 627, 791, 3351, 4131, 7154, 264, 1060, 1306, 279, 2883, 9408, 400, 717, 76, 304, 264, 11378, 426, 4883, 11, 902, 574, 6197, 555, 36944, 80353, 75896, 627, 626, 1003, 79384, 1080, 36927, 323, 12432, 74406, 29042, 3370, 1071, 25, 1054, 2028, 502, 4883, 315, 29642, 4726, 96931, 800, 1003, 79384, 753, 8335, 11071, 2361, 11, 12967, 1057, 7318, 5352, 6864, 311, 328, 3, 1135, 13, 22, 76, 627, 31378, 5652, 4883, 690, 7431, 603, 311, 43880, 2027, 4500, 311, 2225, 84713, 323, 92792, 1057, 12205, 6373, 10209, 369, 1057, 8403, 304, 21181, 323, 28796, 11, 439, 1664, 439, 1862, 502, 3157, 4441, 49216, 80262, 1071, 25, 662, 89874, 85973, 304, 220, 679, 21, 11, 800, 1003, 79384, 6209, 9341, 323, 8515, 6373, 76808, 369, 11040, 323, 55325, 15167, 13, 578, 2883, 27149, 304, 21181, 323, 28796, 13, 128001, -100, 40, 2846, 1101, 296, 494, 263, 11, 358, 1440, 1063, 14599, 92973, 430, 2643, 2019, 2555, 1093, 420, 1131, 8248, 358, 7655, 449, 279, 1023, 296, 494, 263, 389, 4661, 682, 315, 813, 6170, 13, 38267, 358, 4510, 320, 30712, 16801, 11, 539, 8993, 14610, 705, 430, 279, 1193, 2944, 584, 617, 1027, 3309, 311, 5766, 453, 331, 337, 374, 1606, 433, 374, 3629, 1511, 5076, 13, 9086, 20278, 11737, 13, 1628, 4359, 3309, 603, 311, 5766, 433, 1606, 433, 1053, 6458, 300, 36850, 6458, 25662, 287, 8689, 13, 1628, 8689, 527, 8792, 311, 279, 42582, 13, 53705, 32520, 323, 7556, 922, 433, 1093, 279, 330, 76, 494, 263, 1, 304, 279, 22380, 374, 539, 17339, 13, 128001, -100, 2028, 3185, 2541, 449, 3116, 62707, 374, 1903, 304, 24922, 304, 264, 33247, 7732, 1742, 28135, 505, 47658, 7732, 13, 578, 6913, 3769, 374, 28135, 12457, 505, 1511, 14891, 477, 4857, 6956, 13, 69571, 13931, 315, 767, 97939, 1051, 37304, 1193, 26310, 7108, 13, 4349, 2530, 1253, 1782, 505, 279, 6945, 627, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53 ]
[ 128000, 29795, 315, 220, 18, 20300, 2631, 627, 29795, 315, 220, 868, 20300, 2631, 627, 51, 4031, 3085, 264, 3544, 2134, 315, 16492, 291, 32034, 55, 323, 389, 22041, 74306, 29179, 3378, 10105, 13, 21883, 527, 1063, 315, 1057, 824, 81639, 3196, 6787, 779, 499, 649, 636, 459, 4623, 315, 279, 2853, 19523, 430, 649, 387, 1903, 927, 8776, 7106, 323, 5226, 3196, 10105, 13, 2052, 315, 1057, 29179, 3378, 3600, 527, 5226, 1949, 779, 499, 656, 539, 617, 311, 11196, 922, 1694, 16447, 1139, 3600, 927, 264, 743, 4261, 315, 892, 627, 1687, 3085, 52056, 1903, 6787, 369, 810, 17395, 22484, 779, 4587, 3041, 603, 264, 1650, 422, 499, 1053, 1093, 311, 4048, 810, 477, 4358, 701, 4676, 8670, 304, 810, 7872, 779, 584, 649, 2231, 3871, 264, 3197, 430, 29076, 701, 3966, 627, 44179, 279, 8776, 32034, 55, 902, 7612, 264, 3544, 9341, 323, 14529, 13709, 323, 4967, 11, 264, 21685, 32034, 55, 374, 264, 9624, 3196, 32034, 55, 1887, 15987, 4669, 279, 7757, 13, 26848, 1109, 1694, 8647, 369, 12035, 11, 3241, 11, 4967, 11, 13709, 11, 323, 810, 11, 264, 21685, 32034, 55, 9287, 5097, 2512, 315, 682, 315, 420, 13, 763, 5369, 311, 1694, 6724, 9152, 1022, 29654, 11, 13239, 304, 912, 8871, 477, 14028, 7194, 11, 264, 21685, 32034, 55, 1887, 1101, 5825, 9873, 449, 279, 5845, 311, 10299, 872, 4641, 6067, 4669, 264, 3566, 3196, 2585, 7090, 13, 1789, 1521, 8125, 323, 810, 11, 21685, 32034, 55, 6067, 527, 10671, 15098, 5526, 10105, 369, 3432, 753, 7982, 2678, 311, 11298, 28935, 2626, 7980, 627, 51, 4031, 374, 701, 832, 3009, 6425, 9287, 994, 433, 4131, 311, 18189, 701, 8122, 51271, 7194, 323, 27730, 264, 6883, 23065, 4641, 1887, 13, 1226, 990, 449, 1057, 8403, 311, 2587, 1082, 264, 21186, 6425, 430, 1888, 29076, 872, 2626, 529, 3966, 627, 2746, 499, 1866, 264, 2626, 449, 17162, 1109, 220, 3101, 5238, 11, 21685, 32034, 55, 649, 3493, 499, 449, 264, 49068, 315, 4519, 323, 7720, 13, 1789, 43806, 11, 264, 21685, 32034, 55, 1887, 374, 1790, 2753, 11646, 1109, 264, 8776, 389, 29654, 1887, 13, 3161, 21685, 32034, 55, 11, 1070, 374, 912, 1205, 311, 3780, 11646, 12035, 323, 3241, 11, 2343, 369, 14028, 11, 323, 10299, 279, 1887, 13, 1472, 5042, 2343, 264, 15438, 11307, 323, 4774, 682, 315, 279, 7720, 315, 279, 2532, 627, 8142, 2753, 34348, 1109, 5410, 389, 29654, 32034, 55, 6067, 11, 21685, 32034, 55, 10105, 527, 1028, 74914, 449, 15525, 4519, 11, 1778, 439, 389, 2902, 820, 4731, 11, 1650, 8748, 11, 1650, 30158, 11, 31711, 11, 323, 810, 13, 23674, 11, 439, 279, 23354, 315, 21685, 32034, 55, 9731, 311, 3139, 11, 5217, 4519, 1093, 3313, 9604, 1821, 11, 9070, 28960, 287, 11, 323, 362, 6620, 49194, 527, 1694, 11784, 627, 9480, 291, 32034, 55, 649, 1101, 387, 27167, 22571, 13, 763, 2144, 11, 1455, 2626, 7980, 527, 3025, 311, 617, 872, 21685, 32034, 55, 6642, 323, 4401, 304, 1234, 264, 1938, 13, 7252, 315, 682, 810, 19303, 21685, 32034, 55, 8522, 527, 1694, 27167, 439, 1664, 13, 31470, 1521, 8522, 323, 4519, 649, 11383, 387, 2884, 449, 264, 4382, 4232, 627, 791, 5845, 311, 923, 502, 4519, 439, 814, 6638, 704, 374, 1120, 832, 3187, 315, 279, 94840, 315, 21685, 32034, 55, 6425, 13, 24086, 18084, 11, 4641, 5238, 11, 323, 1524, 459, 4553, 502, 9476, 649, 69704, 387, 3779, 11, 902, 1053, 387, 1790, 810, 6485, 449, 264, 8776, 389, 22041, 74306, 32034, 55, 627, 34176, 682, 4519, 315, 279, 21685, 32034, 55, 1887, 304, 1972, 892, 505, 12660, 627, 6919, 505, 12660, 430, 706, 264, 15528, 7757, 3717, 627, 2170, 701, 2883, 28815, 1057, 32034, 55, 1887, 28815, 449, 499, 13, 4702, 264, 4382, 1650, 701, 1887, 13693, 649, 387, 7319, 627, 128001 ]
[ -100, 29795, 315, 220, 18, 20300, 2631, 627, 29795, 315, 220, 868, 20300, 2631, 627, 51, 4031, 3085, 264, 3544, 2134, 315, 16492, 291, 32034, 55, 323, 389, 22041, 74306, 29179, 3378, 10105, 13, 21883, 527, 1063, 315, 1057, 824, 81639, 3196, 6787, 779, 499, 649, 636, 459, 4623, 315, 279, 2853, 19523, 430, 649, 387, 1903, 927, 8776, 7106, 323, 5226, 3196, 10105, 13, 2052, 315, 1057, 29179, 3378, 3600, 527, 5226, 1949, 779, 499, 656, 539, 617, 311, 11196, 922, 1694, 16447, 1139, 3600, 927, 264, 743, 4261, 315, 892, 627, 1687, 3085, 52056, 1903, 6787, 369, 810, 17395, 22484, 779, 4587, 3041, 603, 264, 1650, 422, 499, 1053, 1093, 311, 4048, 810, 477, 4358, 701, 4676, 8670, 304, 810, 7872, 779, 584, 649, 2231, 3871, 264, 3197, 430, 29076, 701, 3966, 627, 44179, 279, 8776, 32034, 55, 902, 7612, 264, 3544, 9341, 323, 14529, 13709, 323, 4967, 11, 264, 21685, 32034, 55, 374, 264, 9624, 3196, 32034, 55, 1887, 15987, 4669, 279, 7757, 13, 26848, 1109, 1694, 8647, 369, 12035, 11, 3241, 11, 4967, 11, 13709, 11, 323, 810, 11, 264, 21685, 32034, 55, 9287, 5097, 2512, 315, 682, 315, 420, 13, 763, 5369, 311, 1694, 6724, 9152, 1022, 29654, 11, 13239, 304, 912, 8871, 477, 14028, 7194, 11, 264, 21685, 32034, 55, 1887, 1101, 5825, 9873, 449, 279, 5845, 311, 10299, 872, 4641, 6067, 4669, 264, 3566, 3196, 2585, 7090, 13, 1789, 1521, 8125, 323, 810, 11, 21685, 32034, 55, 6067, 527, 10671, 15098, 5526, 10105, 369, 3432, 753, 7982, 2678, 311, 11298, 28935, 2626, 7980, 627, 51, 4031, 374, 701, 832, 3009, 6425, 9287, 994, 433, 4131, 311, 18189, 701, 8122, 51271, 7194, 323, 27730, 264, 6883, 23065, 4641, 1887, 13, 1226, 990, 449, 1057, 8403, 311, 2587, 1082, 264, 21186, 6425, 430, 1888, 29076, 872, 2626, 529, 3966, 627, 2746, 499, 1866, 264, 2626, 449, 17162, 1109, 220, 3101, 5238, 11, 21685, 32034, 55, 649, 3493, 499, 449, 264, 49068, 315, 4519, 323, 7720, 13, 1789, 43806, 11, 264, 21685, 32034, 55, 1887, 374, 1790, 2753, 11646, 1109, 264, 8776, 389, 29654, 1887, 13, 3161, 21685, 32034, 55, 11, 1070, 374, 912, 1205, 311, 3780, 11646, 12035, 323, 3241, 11, 2343, 369, 14028, 11, 323, 10299, 279, 1887, 13, 1472, 5042, 2343, 264, 15438, 11307, 323, 4774, 682, 315, 279, 7720, 315, 279, 2532, 627, 8142, 2753, 34348, 1109, 5410, 389, 29654, 32034, 55, 6067, 11, 21685, 32034, 55, 10105, 527, 1028, 74914, 449, 15525, 4519, 11, 1778, 439, 389, 2902, 820, 4731, 11, 1650, 8748, 11, 1650, 30158, 11, 31711, 11, 323, 810, 13, 23674, 11, 439, 279, 23354, 315, 21685, 32034, 55, 9731, 311, 3139, 11, 5217, 4519, 1093, 3313, 9604, 1821, 11, 9070, 28960, 287, 11, 323, 362, 6620, 49194, 527, 1694, 11784, 627, 9480, 291, 32034, 55, 649, 1101, 387, 27167, 22571, 13, 763, 2144, 11, 1455, 2626, 7980, 527, 3025, 311, 617, 872, 21685, 32034, 55, 6642, 323, 4401, 304, 1234, 264, 1938, 13, 7252, 315, 682, 810, 19303, 21685, 32034, 55, 8522, 527, 1694, 27167, 439, 1664, 13, 31470, 1521, 8522, 323, 4519, 649, 11383, 387, 2884, 449, 264, 4382, 4232, 627, 791, 5845, 311, 923, 502, 4519, 439, 814, 6638, 704, 374, 1120, 832, 3187, 315, 279, 94840, 315, 21685, 32034, 55, 6425, 13, 24086, 18084, 11, 4641, 5238, 11, 323, 1524, 459, 4553, 502, 9476, 649, 69704, 387, 3779, 11, 902, 1053, 387, 1790, 810, 6485, 449, 264, 8776, 389, 22041, 74306, 32034, 55, 627, 34176, 682, 4519, 315, 279, 21685, 32034, 55, 1887, 304, 1972, 892, 505, 12660, 627, 6919, 505, 12660, 430, 706, 264, 15528, 7757, 3717, 627, 2170, 701, 2883, 28815, 1057, 32034, 55, 1887, 28815, 449, 499, 13, 4702, 264, 4382, 1650, 701, 1887, 13693, 649, 387, 7319, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627 ]
[ 128000, 60960, 40702, 2006, 10245, 96424, 5380, 10343, 33819, 18824, 74899, 3341, 61088, 574, 22797, 311, 33819, 11, 719, 568, 1436, 617, 1027, 7556, 922, 15840, 994, 568, 1071, 25, 66850, 644, 60, 4689, 1695, 4311, 1005, 810, 1317, 9860, 5044, 1109, 2875, 9860, 5044, 2391, 264, 33819, 1847, 13, 1472, 1005, 3347, 11704, 13, 1102, 374, 279, 57351, 430, 374, 14090, 3196, 389, 279, 3347, 11704, 13, 2100, 433, 374, 701, 3217, 430, 6835, 499, 264, 2204, 21455, 315, 279, 502, 15082, 1603, 499, 11, 323, 1243, 499, 617, 311, 2980, 1148, 21455, 499, 649, 1005, 13, 1472, 2011, 387, 3025, 311, 31978, 1304, 709, 701, 4059, 922, 902, 3347, 3217, 649, 387, 1511, 2029, 2456, 15571, 33819, 4311, 13471, 449, 62385, 315, 39747, 83580, 520, 279, 33819, 2541, 11, 323, 1695, 55946, 649, 12903, 6366, 26249, 520, 279, 13939, 11, 719, 279, 1888, 6305, 1101, 4128, 389, 12912, 9687, 505, 3217, 323, 1054, 22025, 66735, 1304, 709, 872, 20663, 922, 902, 649, 387, 1511, 2029, 362, 16131, 889, 27741, 389, 24278, 323, 3217, 505, 279, 3347, 374, 4461, 311, 11886, 5435, 810, 47379, 323, 97975, 1109, 832, 889, 2011, 17459, 4395, 5678, 627, 58756, 649, 2134, 304, 5569, 505, 2697, 41760, 7085, 315, 279, 4221, 2456, 1044, 72, 8, 709, 311, 279, 6070, 315, 279, 1887, 5196, 320, 77, 58355, 18112, 570, 578, 5497, 315, 63687, 1555, 459, 1358, 374, 2564, 128001, 128000, 27, 8570, 29, 1985, 68295, 8074, 5487, 300, 3919, 2517, 6248, 4552, 28992, 198, 4408, 364, 1985, 10635, 3961, 1058, 9170, 1876, 41, 300, 3919, 1738, 6248, 2323, 366, 74101, 487, 16863, 198, 220, 1296, 330, 59677, 1, 656, 198, 262, 2105, 34262, 3659, 14026, 11, 9170, 1876, 41, 300, 3919, 1738, 6248, 198, 220, 842, 198, 408, 198, 128001, 128000, 2173, 682, 279, 10860, 54, 449, 48153, 14800, 4455, 11, 8530, 7000, 649, 387, 810, 57697, 1109, 4917, 451, 30215, 11, 1778, 439, 279, 10860, 54, 14, 8768, 596, 73764, 315, 14834, 596, 30215, 315, 4606, 11, 49001, 11, 279, 10860, 54, 14, 8768, 1053, 84750, 9214, 5304, 9214, 315, 14834, 97939, 71482, 17312, 3440, 264, 37480, 9508, 63628, 311, 84750, 904, 9232, 2403, 1778, 8818, 13, 1115, 2246, 16964, 1268, 71482, 20595, 374, 11798, 304, 279, 3383, 1394, 2439, 25, 10884, 5111, 1491, 11, 1202, 33318, 8340, 24511, 11, 323, 1268, 311, 18506, 433, 627, 3947, 499, 527, 11, 304, 279, 10860, 54, 14, 8768, 14800, 11, 10307, 279, 9354, 304, 4917, 451, 3941, 11, 7366, 1139, 279, 8209, 2361, 449, 8316, 1306, 8316, 315, 15580, 5438, 388, 323, 8987, 79657, 2403, 701, 20428, 5092, 398, 2678, 13695, 11, 323, 3411, 7953, 279, 38486, 35174, 1070, 527, 5361, 41050, 315, 23490, 2646, 13696, 9354, 72378, 17265, 304, 11, 8748, 1070, 11, 1120, 304, 1162, 499, 527, 18069, 3403, 311, 4465, 279, 87794, 9354, 5457, 499, 527, 13176, 1139, 264, 2559, 44466, 11, 279, 2800, 315, 279, 4917, 451, 690, 1304, 2771, 814, 649, 9567, 701, 13695, 1139, 264, 64188, 9522, 14524, 11, 430, 574, 304, 279, 33165, 10860, 54, 91170, 1122, 95504, 14800, 11, 304, 3383, 1394, 2439, 25, 10884, 5111, 11, 1070, 374, 264, 8340, 719, 1524, 810, 1672, 80227, 27744, 13, 279, 4500, 2128, 16280, 6944, 279, 1972, 4917, 451, 37480, 304, 279, 1847, 11, 779, 4619, 315, 9214, 5304, 9214, 315, 15580, 5438, 388, 323, 8987, 79657, 11, 3383, 1394, 2439, 25, 10884, 5111, 1491, 706, 11758, 5304, 11758, 315, 4917, 451, 65425, 2439, 11, 10035, 11, 1884, 8009, 20957, 11, 76847, 11, 506, 12, 1974, 23840, 9770, 704, 315, 872, 10632, 11, 3278, 11, 2911, 11, 12875, 11, 323, 682, 11, 323, 814, 527, 1457, 23855, 323, 1523, 311, 872, 1566, 22541, 1701, 872, 65425, 2439, 439, 872, 22423, 389, 23529, 13, 44985, 480, 77342, 304, 9853, 12167, 4250, 387, 11201, 1109, 420, 627, 59150, 19132, 9373, 11, 477, 1524, 50739, 5380, 25503, 499, 1427, 1139, 1521, 8316, 6, 8209, 10691, 11, 499, 1053, 13383, 11, 422, 264, 5912, 41963, 1543, 374, 264, 4579, 27202, 304, 279, 4216, 220, 508, 339, 28200, 11, 1855, 2678, 4917, 451, 61519, 374, 459, 13890, 315, 264, 61130, 13192, 6672, 320, 33156, 6166, 13192, 11, 477, 54594, 13192, 705, 323, 279, 44922, 11, 8294, 4208, 65425, 2439, 527, 2216, 8987, 26951, 449, 1317, 2134, 34441, 13, 13440, 433, 374, 264, 13192, 6672, 477, 264, 8987, 13192, 11, 2225, 617, 832, 3245, 304, 4279, 11, 814, 649, 296, 363, 1523, 320, 69191, 750, 1629, 927, 8, 9354, 55527, 323, 79657, 1093, 856, 8415, 99345, 288, 709, 279, 4553, 35788, 315, 60512, 48669, 11, 902, 374, 304, 264, 34231, 315, 459, 8071, 13, 3861, 1023, 3245, 814, 2225, 617, 304, 4279, 25, 1606, 814, 527, 65425, 2439, 11, 1855, 330, 86271, 1, 706, 220, 19, 12, 20, 3115, 810, 26290, 19161, 82, 1109, 904, 315, 701, 5438, 388, 477, 1023, 26290, 17312, 11, 22563, 477, 389, 4579, 13, 1628, 65425, 2439, 2466, 477, 2678, 527, 45413, 449, 5438, 388, 323, 5255, 5041, 27771, 11, 902, 704, 31608, 18821, 13, 7089, 1109, 1694, 29493, 1109, 264, 33165, 10860, 54, 1181, 11345, 11, 43565, 311, 279, 33165, 1181, 11345, 11, 279, 2678, 4917, 451, 61519, 706, 9313, 682, 2212, 11, 323, 10658, 20946, 389, 682, 11314, 449, 5438, 388, 8621, 520, 1855, 2700, 627, 10156, 1093, 1283, 41622, 480, 33719, 1122, 1071, 11, 264, 38626, 11233, 7215, 11965, 374, 7154, 1558, 77972, 11, 323, 690, 4461, 2231, 311, 11213, 682, 279, 9354, 13176, 1124, 627, 2173, 3388, 11, 279, 16570, 1618, 374, 330, 77, 22928, 23811, 4516, 11, 3639, 922, 279, 90687, 1295, 5380, 1688, 279, 15821, 2237, 11, 499, 649, 1005, 7447, 20486, 1220, 315, 1343, 33383, 90774, 311, 1376, 1139, 220, 19, 5089, 9518, 449, 281, 12732, 22364, 704, 505, 1855, 3185, 13, 5046, 3388, 11, 420, 1053, 8108, 701, 9518, 596, 31139, 311, 7315, 13, 1628, 279, 4545, 701, 48250, 16737, 320, 269, 48250, 365, 6431, 11, 2533, 420, 459, 3383, 1394, 2439, 1491, 11, 1314, 10380, 3351, 11, 279, 4917, 451, 374, 2133, 311, 78535, 872, 13192, 320, 269, 13192, 6672, 8, 8316, 311, 281, 9933, 389, 499, 627, 644, 279, 3383, 1394, 2439, 25, 10884, 5111, 1491, 11, 422, 701, 36017, 374, 14738, 11084, 11, 499, 649, 20927, 6505, 54235, 8316, 320, 4908, 279, 13041, 3341, 78, 13131, 9265, 902, 44727, 1317, 2134, 20634, 60220, 49939, 11, 477, 279, 18341, 469, 1395, 14357, 11165, 7454, 263, 902, 374, 264, 6505, 54235, 23677, 330, 1334, 58838, 1, 52348, 12811, 1093, 649, 1601, 78420, 13171, 315, 5361, 29910, 11, 459, 8339, 10884, 5111, 1176, 705, 1521, 8316, 617, 2753, 9313, 1109, 279, 330, 83, 4129, 498, 719, 449, 5129, 2134, 26290, 5662, 439, 1664, 439, 31139, 311, 2489, 279, 330, 86271, 1, 8316, 13, 578, 53735, 54235, 1053, 617, 1063, 2515, 11, 719, 4245, 311, 279, 10571, 1694, 779, 6435, 320, 4345, 1268, 279, 10860, 54, 4817, 4375, 705, 433, 374, 4661, 57026, 439, 459, 7294, 96128, 10500, 323, 1193, 1695, 369, 52791, 39307, 11, 477, 430, 315, 264, 46536, 22380, 389, 279, 38486, 13, 1472, 4250, 1456, 12036, 28226, 596, 7075, 14397, 389, 279, 38486, 449, 279, 53735, 54235, 11, 902, 374, 11889, 264, 2478, 17312, 439, 49160, 311, 57683, 279, 11233, 7215, 8316, 1139, 459, 7294, 96128, 23709, 13, 2030, 499, 649, 8659, 656, 779, 449, 279, 6505, 54235, 21078, 304, 8748, 627, 14364, 3072, 374, 311, 1005, 279, 10705, 2630, 11, 320, 9891, 3383, 1394, 2439, 25, 10884, 5111, 706, 2751, 430, 2288, 11, 279, 1176, 304, 459, 10860, 54, 14, 8768, 1491, 8, 902, 6276, 279, 2851, 311, 11203, 264, 22881, 2403, 279, 23468, 11233, 7215, 4917, 451, 13, 2030, 1578, 11, 1070, 374, 1633, 2697, 31139, 6463, 25152, 304, 1778, 26411, 627, 30035, 13, 20, 482, 8339, 49687, 48185, 729, 17903, 449, 57045, 68302, 27771, 10658, 30945, 635, 61111, 520, 44169, 9354, 627, 30035, 13, 21, 482, 8339, 79189, 19881, 3806, 17903, 449, 5041, 27771, 323, 30945, 635, 61111, 627, 30035, 13, 21, 64, 482, 220, 3443, 10, 3831, 68372, 635, 17903, 5457, 29269, 15140, 27736, 2403, 220, 20, 11, 931, 3831, 11233, 7215, 3330, 627, 2409, 279, 1566, 1403, 90687, 6429, 304, 4059, 11, 8446, 45539, 11, 449, 1063, 6725, 11, 539, 1193, 499, 649, 10726, 2403, 279, 37480, 902, 499, 1440, 374, 2133, 311, 6541, 1139, 4917, 451, 3941, 11, 499, 649, 1101, 2543, 279, 4917, 451, 4668, 311, 701, 9610, 627, 8586, 527, 1063, 10507, 11, 279, 8446, 2472, 3770, 5039, 279, 2579, 8339, 10168, 8800, 1202, 1566, 17271, 3221, 7281, 402, 2411, 320, 266, 279, 8582, 87244, 842, 315, 279, 15155, 50714, 570, 578, 3776, 3383, 1394, 2439, 527, 1457, 10168, 279, 4553, 15155, 66495, 323, 279, 18455, 11226, 315, 7281, 402, 2411, 627, 644, 279, 1828, 3280, 11, 279, 3776, 3383, 1394, 2439, 17903, 449, 30945, 635, 8316, 527, 1457, 92728, 3252, 279, 1566, 33077, 290, 315, 279, 2579, 3383, 1394, 2439, 13, 25531, 5644, 369, 279, 2579, 3383, 1394, 2439, 311, 6541, 1139, 4917, 451, 3941, 627, 2170, 279, 892, 279, 52791, 574, 922, 311, 387, 927, 11, 279, 3776, 8339, 3351, 1202, 47983, 704, 315, 279, 15155, 50714, 627, 791, 3776, 8339, 2736, 1866, 279, 15155, 50714, 11, 779, 28858, 279, 92728, 3252, 5457, 11, 433, 1101, 32393, 682, 279, 15140, 87199, 10007, 315, 92728, 3640, 3363, 11, 719, 539, 10411, 627, 18433, 994, 52791, 374, 927, 11, 279, 2579, 3383, 1394, 2439, 304, 4917, 451, 3941, 649, 1193, 3351, 10411, 11, 682, 47869, 311, 279, 10007, 1051, 19857, 555, 2678, 8603, 3235, 682, 15140, 87199, 11, 779, 279, 3776, 3383, 1394, 2439, 706, 7946, 9770, 279, 2579, 8339, 311, 733, 311, 4208, 709, 10411, 449, 48749, 65, 3893, 320, 1820, 6063, 1233, 8, 323, 279, 1676, 424, 7907, 320, 38, 5049, 82, 705, 1148, 374, 810, 11, 439, 1855, 3363, 477, 17271, 374, 4529, 555, 279, 2579, 8339, 11, 279, 3776, 8339, 5042, 11263, 4920, 323, 1935, 927, 279, 3363, 1606, 3131, 279, 4917, 451, 5457, 93018, 1523, 11, 279, 4917, 451, 65425, 2439, 1053, 617, 311, 387, 2486, 29029, 1534, 320, 72, 1770, 13, 682, 279, 20957, 323, 76847, 4024, 389, 311, 1935, 19243, 315, 872, 502, 62366, 323, 9093, 17257, 279, 13695, 705, 323, 433, 3727, 4228, 3820, 826, 369, 279, 3776, 8339, 2085, 3596, 3515, 311, 733, 311, 4208, 449, 3060, 95626, 82, 477, 279, 42037, 627, 35293, 279, 3177, 323, 8987, 61519, 8316, 389, 279, 5729, 11, 1778, 264, 5729, 304, 279, 6206, 315, 832, 13171, 4689, 649, 40194, 704, 279, 8603, 315, 459, 4553, 9354, 7140, 13, 2030, 1701, 279, 90687, 2426, 10105, 3984, 11, 539, 1193, 701, 37480, 649, 6782, 1778, 18118, 11233, 7215, 8310, 11, 499, 649, 1101, 1005, 1124, 311, 701, 9610, 627, 2028, 4652, 374, 20162, 555, 23519, 5455, 11, 1701, 1077, 2128, 7808, 4366, 339, 1122, 37502, 596, 2759, 13, 128001 ]
[ -100, 60960, 40702, 2006, 10245, 96424, 5380, 10343, 33819, 18824, 74899, 3341, 61088, 574, 22797, 311, 33819, 11, 719, 568, 1436, 617, 1027, 7556, 922, 15840, 994, 568, 1071, 25, 66850, 644, 60, 4689, 1695, 4311, 1005, 810, 1317, 9860, 5044, 1109, 2875, 9860, 5044, 2391, 264, 33819, 1847, 13, 1472, 1005, 3347, 11704, 13, 1102, 374, 279, 57351, 430, 374, 14090, 3196, 389, 279, 3347, 11704, 13, 2100, 433, 374, 701, 3217, 430, 6835, 499, 264, 2204, 21455, 315, 279, 502, 15082, 1603, 499, 11, 323, 1243, 499, 617, 311, 2980, 1148, 21455, 499, 649, 1005, 13, 1472, 2011, 387, 3025, 311, 31978, 1304, 709, 701, 4059, 922, 902, 3347, 3217, 649, 387, 1511, 2029, 2456, 15571, 33819, 4311, 13471, 449, 62385, 315, 39747, 83580, 520, 279, 33819, 2541, 11, 323, 1695, 55946, 649, 12903, 6366, 26249, 520, 279, 13939, 11, 719, 279, 1888, 6305, 1101, 4128, 389, 12912, 9687, 505, 3217, 323, 1054, 22025, 66735, 1304, 709, 872, 20663, 922, 902, 649, 387, 1511, 2029, 362, 16131, 889, 27741, 389, 24278, 323, 3217, 505, 279, 3347, 374, 4461, 311, 11886, 5435, 810, 47379, 323, 97975, 1109, 832, 889, 2011, 17459, 4395, 5678, 627, 58756, 649, 2134, 304, 5569, 505, 2697, 41760, 7085, 315, 279, 4221, 2456, 1044, 72, 8, 709, 311, 279, 6070, 315, 279, 1887, 5196, 320, 77, 58355, 18112, 570, 578, 5497, 315, 63687, 1555, 459, 1358, 374, 2564, 128001, -100, 27, 8570, 29, 1985, 68295, 8074, 5487, 300, 3919, 2517, 6248, 4552, 28992, 198, 4408, 364, 1985, 10635, 3961, 1058, 9170, 1876, 41, 300, 3919, 1738, 6248, 2323, 366, 74101, 487, 16863, 198, 220, 1296, 330, 59677, 1, 656, 198, 262, 2105, 34262, 3659, 14026, 11, 9170, 1876, 41, 300, 3919, 1738, 6248, 198, 220, 842, 198, 408, 198, 128001, -100, 2173, 682, 279, 10860, 54, 449, 48153, 14800, 4455, 11, 8530, 7000, 649, 387, 810, 57697, 1109, 4917, 451, 30215, 11, 1778, 439, 279, 10860, 54, 14, 8768, 596, 73764, 315, 14834, 596, 30215, 315, 4606, 11, 49001, 11, 279, 10860, 54, 14, 8768, 1053, 84750, 9214, 5304, 9214, 315, 14834, 97939, 71482, 17312, 3440, 264, 37480, 9508, 63628, 311, 84750, 904, 9232, 2403, 1778, 8818, 13, 1115, 2246, 16964, 1268, 71482, 20595, 374, 11798, 304, 279, 3383, 1394, 2439, 25, 10884, 5111, 1491, 11, 1202, 33318, 8340, 24511, 11, 323, 1268, 311, 18506, 433, 627, 3947, 499, 527, 11, 304, 279, 10860, 54, 14, 8768, 14800, 11, 10307, 279, 9354, 304, 4917, 451, 3941, 11, 7366, 1139, 279, 8209, 2361, 449, 8316, 1306, 8316, 315, 15580, 5438, 388, 323, 8987, 79657, 2403, 701, 20428, 5092, 398, 2678, 13695, 11, 323, 3411, 7953, 279, 38486, 35174, 1070, 527, 5361, 41050, 315, 23490, 2646, 13696, 9354, 72378, 17265, 304, 11, 8748, 1070, 11, 1120, 304, 1162, 499, 527, 18069, 3403, 311, 4465, 279, 87794, 9354, 5457, 499, 527, 13176, 1139, 264, 2559, 44466, 11, 279, 2800, 315, 279, 4917, 451, 690, 1304, 2771, 814, 649, 9567, 701, 13695, 1139, 264, 64188, 9522, 14524, 11, 430, 574, 304, 279, 33165, 10860, 54, 91170, 1122, 95504, 14800, 11, 304, 3383, 1394, 2439, 25, 10884, 5111, 11, 1070, 374, 264, 8340, 719, 1524, 810, 1672, 80227, 27744, 13, 279, 4500, 2128, 16280, 6944, 279, 1972, 4917, 451, 37480, 304, 279, 1847, 11, 779, 4619, 315, 9214, 5304, 9214, 315, 15580, 5438, 388, 323, 8987, 79657, 11, 3383, 1394, 2439, 25, 10884, 5111, 1491, 706, 11758, 5304, 11758, 315, 4917, 451, 65425, 2439, 11, 10035, 11, 1884, 8009, 20957, 11, 76847, 11, 506, 12, 1974, 23840, 9770, 704, 315, 872, 10632, 11, 3278, 11, 2911, 11, 12875, 11, 323, 682, 11, 323, 814, 527, 1457, 23855, 323, 1523, 311, 872, 1566, 22541, 1701, 872, 65425, 2439, 439, 872, 22423, 389, 23529, 13, 44985, 480, 77342, 304, 9853, 12167, 4250, 387, 11201, 1109, 420, 627, 59150, 19132, 9373, 11, 477, 1524, 50739, 5380, 25503, 499, 1427, 1139, 1521, 8316, 6, 8209, 10691, 11, 499, 1053, 13383, 11, 422, 264, 5912, 41963, 1543, 374, 264, 4579, 27202, 304, 279, 4216, 220, 508, 339, 28200, 11, 1855, 2678, 4917, 451, 61519, 374, 459, 13890, 315, 264, 61130, 13192, 6672, 320, 33156, 6166, 13192, 11, 477, 54594, 13192, 705, 323, 279, 44922, 11, 8294, 4208, 65425, 2439, 527, 2216, 8987, 26951, 449, 1317, 2134, 34441, 13, 13440, 433, 374, 264, 13192, 6672, 477, 264, 8987, 13192, 11, 2225, 617, 832, 3245, 304, 4279, 11, 814, 649, 296, 363, 1523, 320, 69191, 750, 1629, 927, 8, 9354, 55527, 323, 79657, 1093, 856, 8415, 99345, 288, 709, 279, 4553, 35788, 315, 60512, 48669, 11, 902, 374, 304, 264, 34231, 315, 459, 8071, 13, 3861, 1023, 3245, 814, 2225, 617, 304, 4279, 25, 1606, 814, 527, 65425, 2439, 11, 1855, 330, 86271, 1, 706, 220, 19, 12, 20, 3115, 810, 26290, 19161, 82, 1109, 904, 315, 701, 5438, 388, 477, 1023, 26290, 17312, 11, 22563, 477, 389, 4579, 13, 1628, 65425, 2439, 2466, 477, 2678, 527, 45413, 449, 5438, 388, 323, 5255, 5041, 27771, 11, 902, 704, 31608, 18821, 13, 7089, 1109, 1694, 29493, 1109, 264, 33165, 10860, 54, 1181, 11345, 11, 43565, 311, 279, 33165, 1181, 11345, 11, 279, 2678, 4917, 451, 61519, 706, 9313, 682, 2212, 11, 323, 10658, 20946, 389, 682, 11314, 449, 5438, 388, 8621, 520, 1855, 2700, 627, 10156, 1093, 1283, 41622, 480, 33719, 1122, 1071, 11, 264, 38626, 11233, 7215, 11965, 374, 7154, 1558, 77972, 11, 323, 690, 4461, 2231, 311, 11213, 682, 279, 9354, 13176, 1124, 627, 2173, 3388, 11, 279, 16570, 1618, 374, 330, 77, 22928, 23811, 4516, 11, 3639, 922, 279, 90687, 1295, 5380, 1688, 279, 15821, 2237, 11, 499, 649, 1005, 7447, 20486, 1220, 315, 1343, 33383, 90774, 311, 1376, 1139, 220, 19, 5089, 9518, 449, 281, 12732, 22364, 704, 505, 1855, 3185, 13, 5046, 3388, 11, 420, 1053, 8108, 701, 9518, 596, 31139, 311, 7315, 13, 1628, 279, 4545, 701, 48250, 16737, 320, 269, 48250, 365, 6431, 11, 2533, 420, 459, 3383, 1394, 2439, 1491, 11, 1314, 10380, 3351, 11, 279, 4917, 451, 374, 2133, 311, 78535, 872, 13192, 320, 269, 13192, 6672, 8, 8316, 311, 281, 9933, 389, 499, 627, 644, 279, 3383, 1394, 2439, 25, 10884, 5111, 1491, 11, 422, 701, 36017, 374, 14738, 11084, 11, 499, 649, 20927, 6505, 54235, 8316, 320, 4908, 279, 13041, 3341, 78, 13131, 9265, 902, 44727, 1317, 2134, 20634, 60220, 49939, 11, 477, 279, 18341, 469, 1395, 14357, 11165, 7454, 263, 902, 374, 264, 6505, 54235, 23677, 330, 1334, 58838, 1, 52348, 12811, 1093, 649, 1601, 78420, 13171, 315, 5361, 29910, 11, 459, 8339, 10884, 5111, 1176, 705, 1521, 8316, 617, 2753, 9313, 1109, 279, 330, 83, 4129, 498, 719, 449, 5129, 2134, 26290, 5662, 439, 1664, 439, 31139, 311, 2489, 279, 330, 86271, 1, 8316, 13, 578, 53735, 54235, 1053, 617, 1063, 2515, 11, 719, 4245, 311, 279, 10571, 1694, 779, 6435, 320, 4345, 1268, 279, 10860, 54, 4817, 4375, 705, 433, 374, 4661, 57026, 439, 459, 7294, 96128, 10500, 323, 1193, 1695, 369, 52791, 39307, 11, 477, 430, 315, 264, 46536, 22380, 389, 279, 38486, 13, 1472, 4250, 1456, 12036, 28226, 596, 7075, 14397, 389, 279, 38486, 449, 279, 53735, 54235, 11, 902, 374, 11889, 264, 2478, 17312, 439, 49160, 311, 57683, 279, 11233, 7215, 8316, 1139, 459, 7294, 96128, 23709, 13, 2030, 499, 649, 8659, 656, 779, 449, 279, 6505, 54235, 21078, 304, 8748, 627, 14364, 3072, 374, 311, 1005, 279, 10705, 2630, 11, 320, 9891, 3383, 1394, 2439, 25, 10884, 5111, 706, 2751, 430, 2288, 11, 279, 1176, 304, 459, 10860, 54, 14, 8768, 1491, 8, 902, 6276, 279, 2851, 311, 11203, 264, 22881, 2403, 279, 23468, 11233, 7215, 4917, 451, 13, 2030, 1578, 11, 1070, 374, 1633, 2697, 31139, 6463, 25152, 304, 1778, 26411, 627, 30035, 13, 20, 482, 8339, 49687, 48185, 729, 17903, 449, 57045, 68302, 27771, 10658, 30945, 635, 61111, 520, 44169, 9354, 627, 30035, 13, 21, 482, 8339, 79189, 19881, 3806, 17903, 449, 5041, 27771, 323, 30945, 635, 61111, 627, 30035, 13, 21, 64, 482, 220, 3443, 10, 3831, 68372, 635, 17903, 5457, 29269, 15140, 27736, 2403, 220, 20, 11, 931, 3831, 11233, 7215, 3330, 627, 2409, 279, 1566, 1403, 90687, 6429, 304, 4059, 11, 8446, 45539, 11, 449, 1063, 6725, 11, 539, 1193, 499, 649, 10726, 2403, 279, 37480, 902, 499, 1440, 374, 2133, 311, 6541, 1139, 4917, 451, 3941, 11, 499, 649, 1101, 2543, 279, 4917, 451, 4668, 311, 701, 9610, 627, 8586, 527, 1063, 10507, 11, 279, 8446, 2472, 3770, 5039, 279, 2579, 8339, 10168, 8800, 1202, 1566, 17271, 3221, 7281, 402, 2411, 320, 266, 279, 8582, 87244, 842, 315, 279, 15155, 50714, 570, 578, 3776, 3383, 1394, 2439, 527, 1457, 10168, 279, 4553, 15155, 66495, 323, 279, 18455, 11226, 315, 7281, 402, 2411, 627, 644, 279, 1828, 3280, 11, 279, 3776, 3383, 1394, 2439, 17903, 449, 30945, 635, 8316, 527, 1457, 92728, 3252, 279, 1566, 33077, 290, 315, 279, 2579, 3383, 1394, 2439, 13, 25531, 5644, 369, 279, 2579, 3383, 1394, 2439, 311, 6541, 1139, 4917, 451, 3941, 627, 2170, 279, 892, 279, 52791, 574, 922, 311, 387, 927, 11, 279, 3776, 8339, 3351, 1202, 47983, 704, 315, 279, 15155, 50714, 627, 791, 3776, 8339, 2736, 1866, 279, 15155, 50714, 11, 779, 28858, 279, 92728, 3252, 5457, 11, 433, 1101, 32393, 682, 279, 15140, 87199, 10007, 315, 92728, 3640, 3363, 11, 719, 539, 10411, 627, 18433, 994, 52791, 374, 927, 11, 279, 2579, 3383, 1394, 2439, 304, 4917, 451, 3941, 649, 1193, 3351, 10411, 11, 682, 47869, 311, 279, 10007, 1051, 19857, 555, 2678, 8603, 3235, 682, 15140, 87199, 11, 779, 279, 3776, 3383, 1394, 2439, 706, 7946, 9770, 279, 2579, 8339, 311, 733, 311, 4208, 709, 10411, 449, 48749, 65, 3893, 320, 1820, 6063, 1233, 8, 323, 279, 1676, 424, 7907, 320, 38, 5049, 82, 705, 1148, 374, 810, 11, 439, 1855, 3363, 477, 17271, 374, 4529, 555, 279, 2579, 8339, 11, 279, 3776, 8339, 5042, 11263, 4920, 323, 1935, 927, 279, 3363, 1606, 3131, 279, 4917, 451, 5457, 93018, 1523, 11, 279, 4917, 451, 65425, 2439, 1053, 617, 311, 387, 2486, 29029, 1534, 320, 72, 1770, 13, 682, 279, 20957, 323, 76847, 4024, 389, 311, 1935, 19243, 315, 872, 502, 62366, 323, 9093, 17257, 279, 13695, 705, 323, 433, 3727, 4228, 3820, 826, 369, 279, 3776, 8339, 2085, 3596, 3515, 311, 733, 311, 4208, 449, 3060, 95626, 82, 477, 279, 42037, 627, 35293, 279, 3177, 323, 8987, 61519, 8316, 389, 279, 5729, 11, 1778, 264, 5729, 304, 279, 6206, 315, 832, 13171, 4689, 649, 40194, 704, 279, 8603, 315, 459, 4553, 9354, 7140, 13, 2030, 1701, 279, 90687, 2426, 10105, 3984, 11, 539, 1193, 701, 37480, 649, 6782, 1778, 18118, 11233, 7215, 8310, 11, 499, 649, 1101, 1005, 1124, 311, 701, 9610, 627, 2028, 4652, 374, 20162, 555, 23519, 5455, 11, 1701, 1077, 2128, 7808, 4366, 339, 1122, 37502, 596, 2759, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504 ]
[ 128000, 2181, 596, 11, 439, 24991, 5513, 49664, 2999, 13, 12565, 5034, 47, 1982, 6821, 627, 644, 220, 1049, 22, 11, 8766, 5124, 84, 6672, 574, 29704, 449, 11084, 21271, 9572, 13, 31048, 2204, 8590, 1605, 391, 552, 4745, 13, 1283, 574, 3309, 4400, 810, 1436, 387, 2884, 627, 7189, 13524, 574, 3411, 520, 2133, 311, 1198, 733, 2162, 323, 1304, 28904, 1359, 568, 1071, 35047, 40249, 276, 7942, 5623, 42445, 82, 23935, 330, 70865, 1347, 367, 1, 4315, 6930, 9572, 6978, 198, 74737, 315, 279, 1176, 2574, 814, 3358, 3371, 757, 374, 2564, 814, 2733, 779, 1790, 2731, 1306, 6041, 389, 279, 5623, 323, 279, 2733, 779, 1790, 2731, 1109, 814, 3596, 1550, 994, 814, 1051, 389, 62730, 1359, 1071, 2999, 13, 30505, 36285, 315, 22108, 3331, 15429, 627, 644, 33269, 3135, 10666, 927, 279, 9178, 11, 220, 2131, 3346, 315, 6978, 1051, 13989, 1306, 1403, 1667, 11, 810, 1109, 3116, 3115, 279, 13783, 20237, 4478, 627, 791, 5623, 1193, 4375, 369, 279, 220, 19, 3346, 315, 6978, 449, 420, 3169, 315, 21271, 9572, 13, 3011, 1253, 539, 5222, 1093, 1790, 11, 719, 16410, 2019, 420, 374, 279, 3938, 369, 682, 51423, 1198, 9455, 22972, 430, 1253, 990, 369, 1193, 264, 19983, 315, 6978, 11, 719, 430, 990, 1633, 1664, 627, 31224, 84, 6672, 374, 42386, 13, 330, 40, 2846, 3025, 311, 636, 1203, 389, 279, 13260, 11, 358, 2846, 24269, 11, 11689, 323, 38464, 323, 358, 2846, 16026, 311, 656, 856, 1176, 3682, 12141, 1618, 304, 6250, 1359, 568, 1071, 13, 128001, 128000, 39628, 374, 279, 5788, 315, 459, 2217, 11, 1495, 477, 12745, 389, 5684, 477, 1023, 27220, 27529, 13, 1102, 18065, 1701, 264, 7491, 1376, 311, 8356, 264, 1396, 315, 20086, 11236, 13, 1115, 649, 387, 264, 3254, 3048, 315, 264, 92044, 19354, 11, 477, 11758, 315, 9214, 315, 11236, 315, 264, 1495, 477, 6945, 627, 791, 30758, 40746, 10507, 315, 7732, 4677, 18991, 389, 5684, 527, 35603, 505, 5734, 11, 30105, 311, 279, 21296, 74495, 13, 4314, 2997, 264, 41044, 449, 19837, 17124, 304, 2380, 27230, 13, 4452, 11, 279, 30758, 30105, 9863, 315, 18991, 304, 279, 4410, 527, 1766, 304, 279, 4802, 89, 12065, 38377, 320, 9591, 24, 8, 323, 279, 56750, 12065, 38377, 320, 10465, 24, 4390, 644, 279, 220, 868, 339, 9478, 11, 18991, 574, 2466, 2626, 13, 3296, 279, 842, 315, 279, 9478, 11, 1070, 1051, 7154, 3116, 7895, 57053, 304, 56750, 11, 449, 459, 13240, 220, 966, 11, 931, 304, 279, 3363, 315, 4802, 89, 13, 1666, 13076, 323, 12624, 4500, 7319, 11, 279, 18991, 3577, 5535, 369, 3148, 5788, 315, 6603, 627, 25503, 279, 11639, 315, 83679, 955, 11, 4477, 574, 3196, 389, 264, 7347, 743, 315, 8278, 18210, 13, 578, 4216, 1054, 30362, 3520, 1543, 57053, 863, 1047, 11542, 311, 76067, 4606, 11, 6376, 955, 369, 872, 18991, 11, 323, 1243, 18991, 28578, 814, 4024, 627, 44, 33055, 955, 72849, 810, 11782, 20362, 315, 18991, 13, 578, 3492, 1054, 99931, 863, 44853, 505, 279, 20023, 6954, 486, 11, 7438, 1054, 998, 1304, 11453, 1102, 574, 8040, 555, 88964, 52686, 304, 220, 8929, 15, 11, 323, 279, 18991, 3577, 574, 11784, 304, 56750, 304, 220, 10465, 24, 627, 44, 33055, 955, 574, 264, 16996, 19297, 11, 2533, 433, 5535, 369, 810, 33045, 323, 92032, 7739, 315, 18991, 13, 26848, 1109, 1694, 8521, 311, 264, 9501, 12235, 11, 279, 83679, 955, 1436, 387, 45017, 323, 74494, 439, 4460, 13, 128001 ]
[ -100, 2181, 596, 11, 439, 24991, 5513, 49664, 2999, 13, 12565, 5034, 47, 1982, 6821, 627, 644, 220, 1049, 22, 11, 8766, 5124, 84, 6672, 574, 29704, 449, 11084, 21271, 9572, 13, 31048, 2204, 8590, 1605, 391, 552, 4745, 13, 1283, 574, 3309, 4400, 810, 1436, 387, 2884, 627, 7189, 13524, 574, 3411, 520, 2133, 311, 1198, 733, 2162, 323, 1304, 28904, 1359, 568, 1071, 35047, 40249, 276, 7942, 5623, 42445, 82, 23935, 330, 70865, 1347, 367, 1, 4315, 6930, 9572, 6978, 198, 74737, 315, 279, 1176, 2574, 814, 3358, 3371, 757, 374, 2564, 814, 2733, 779, 1790, 2731, 1306, 6041, 389, 279, 5623, 323, 279, 2733, 779, 1790, 2731, 1109, 814, 3596, 1550, 994, 814, 1051, 389, 62730, 1359, 1071, 2999, 13, 30505, 36285, 315, 22108, 3331, 15429, 627, 644, 33269, 3135, 10666, 927, 279, 9178, 11, 220, 2131, 3346, 315, 6978, 1051, 13989, 1306, 1403, 1667, 11, 810, 1109, 3116, 3115, 279, 13783, 20237, 4478, 627, 791, 5623, 1193, 4375, 369, 279, 220, 19, 3346, 315, 6978, 449, 420, 3169, 315, 21271, 9572, 13, 3011, 1253, 539, 5222, 1093, 1790, 11, 719, 16410, 2019, 420, 374, 279, 3938, 369, 682, 51423, 1198, 9455, 22972, 430, 1253, 990, 369, 1193, 264, 19983, 315, 6978, 11, 719, 430, 990, 1633, 1664, 627, 31224, 84, 6672, 374, 42386, 13, 330, 40, 2846, 3025, 311, 636, 1203, 389, 279, 13260, 11, 358, 2846, 24269, 11, 11689, 323, 38464, 323, 358, 2846, 16026, 311, 656, 856, 1176, 3682, 12141, 1618, 304, 6250, 1359, 568, 1071, 13, 128001, -100, 39628, 374, 279, 5788, 315, 459, 2217, 11, 1495, 477, 12745, 389, 5684, 477, 1023, 27220, 27529, 13, 1102, 18065, 1701, 264, 7491, 1376, 311, 8356, 264, 1396, 315, 20086, 11236, 13, 1115, 649, 387, 264, 3254, 3048, 315, 264, 92044, 19354, 11, 477, 11758, 315, 9214, 315, 11236, 315, 264, 1495, 477, 6945, 627, 791, 30758, 40746, 10507, 315, 7732, 4677, 18991, 389, 5684, 527, 35603, 505, 5734, 11, 30105, 311, 279, 21296, 74495, 13, 4314, 2997, 264, 41044, 449, 19837, 17124, 304, 2380, 27230, 13, 4452, 11, 279, 30758, 30105, 9863, 315, 18991, 304, 279, 4410, 527, 1766, 304, 279, 4802, 89, 12065, 38377, 320, 9591, 24, 8, 323, 279, 56750, 12065, 38377, 320, 10465, 24, 4390, 644, 279, 220, 868, 339, 9478, 11, 18991, 574, 2466, 2626, 13, 3296, 279, 842, 315, 279, 9478, 11, 1070, 1051, 7154, 3116, 7895, 57053, 304, 56750, 11, 449, 459, 13240, 220, 966, 11, 931, 304, 279, 3363, 315, 4802, 89, 13, 1666, 13076, 323, 12624, 4500, 7319, 11, 279, 18991, 3577, 5535, 369, 3148, 5788, 315, 6603, 627, 25503, 279, 11639, 315, 83679, 955, 11, 4477, 574, 3196, 389, 264, 7347, 743, 315, 8278, 18210, 13, 578, 4216, 1054, 30362, 3520, 1543, 57053, 863, 1047, 11542, 311, 76067, 4606, 11, 6376, 955, 369, 872, 18991, 11, 323, 1243, 18991, 28578, 814, 4024, 627, 44, 33055, 955, 72849, 810, 11782, 20362, 315, 18991, 13, 578, 3492, 1054, 99931, 863, 44853, 505, 279, 20023, 6954, 486, 11, 7438, 1054, 998, 1304, 11453, 1102, 574, 8040, 555, 88964, 52686, 304, 220, 8929, 15, 11, 323, 279, 18991, 3577, 574, 11784, 304, 56750, 304, 220, 10465, 24, 627, 44, 33055, 955, 574, 264, 16996, 19297, 11, 2533, 433, 5535, 369, 810, 33045, 323, 92032, 7739, 315, 18991, 13, 26848, 1109, 1694, 8521, 311, 264, 9501, 12235, 11, 279, 83679, 955, 1436, 387, 45017, 323, 74494, 439, 4460, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315 ]
[ 128000, 2028, 1060, 11, 25379, 6209, 279, 220, 679, 19, 27957, 55, 449, 264, 502, 19439, 14398, 17333, 11, 11621, 279, 5652, 2373, 315, 279, 3092, 51697, 22808, 19898, 4225, 354, 73712, 1887, 311, 279, 49480, 39773, 11, 323, 97604, 433, 304, 502, 45092, 423, 2957, 323, 63790, 87971, 6308, 8146, 627, 791, 220, 679, 19, 25379, 27957, 55, 374, 6216, 304, 264, 3254, 2237, 315, 26185, 430, 649, 387, 33624, 449, 26745, 11, 34864, 11, 323, 19439, 14398, 3072, 14519, 627, 96144, 279, 27957, 55, 26745, 3445, 279, 19913, 49480, 374, 19167, 449, 15193, 84868, 660, 18012, 16712, 449, 13168, 1933, 77579, 11, 264, 2410, 37300, 14, 668, 64631, 25847, 323, 32813, 33277, 13587, 11, 32813, 14981, 16712, 11, 35288, 13691, 18186, 11, 323, 75648, 6134, 85367, 1156, 1386, 25485, 13, 578, 27957, 55, 26745, 32327, 389, 44461, 220, 972, 25224, 25674, 23529, 11, 323, 433, 4519, 48232, 62515, 88720, 11, 13414, 2543, 8450, 34824, 304, 279, 3185, 18327, 7851, 826, 11, 11422, 1355, 49205, 289, 59935, 11, 323, 264, 76283, 6382, 13, 1115, 1646, 1101, 5764, 264, 55370, 24178, 8245, 744, 449, 11511, 38081, 14302, 627, 44961, 311, 279, 27957, 55, 34864, 369, 264, 7899, 12, 31262, 10873, 1887, 449, 1972, 7394, 9629, 11, 264, 4534, 55, 8105, 36542, 15193, 7855, 1887, 449, 12445, 13792, 11, 323, 264, 84357, 7160, 76736, 13, 21663, 2373, 315, 279, 27957, 55, 649, 387, 3072, 291, 449, 264, 502, 19439, 14398, 17333, 430, 71420, 79350, 8048, 18012, 16712, 11, 459, 11838, 18012, 6514, 304, 279, 1890, 1933, 11, 2579, 13168, 80231, 11, 323, 12538, 350, 2249, 66981, 77579, 323, 55788, 627, 30119, 2671, 2561, 369, 279, 27957, 55, 2997, 33624, 6308, 11, 7732, 15135, 11259, 11, 71702, 660, 4156, 16712, 11, 87508, 47477, 7935, 449, 264, 52648, 27956, 1887, 11, 323, 264, 19091, 30360, 14981, 79181, 16924, 1887, 13, 38042, 89792, 7241, 374, 1101, 10309, 11, 3235, 449, 15485, 43700, 323, 264, 5873, 1990, 220, 508, 25224, 477, 220, 1313, 25224, 25674, 23529, 627, 11769, 220, 679, 19, 25379, 27957, 55, 374, 19167, 449, 264, 220, 18, 13, 22, 86694, 650, 12, 21, 4817, 24038, 220, 13364, 70886, 323, 220, 11209, 19398, 12898, 728, 13, 315, 42131, 13, 362, 220, 21, 30699, 17392, 18874, 449, 40403, 6541, 388, 374, 5410, 11, 10043, 279, 39773, 753, 4156, 23529, 13, 2052, 62727, 83510, 374, 10309, 627, 2746, 499, 1541, 1431, 1397, 362, 18023, 11, 499, 4805, 636, 2731, 10633, 8752, 13, 3161, 362, 18023, 11, 279, 27957, 55, 374, 3685, 311, 636, 220, 777, 83554, 304, 11093, 10043, 13, 47561, 449, 279, 4156, 83510, 1646, 11, 323, 279, 39773, 4780, 220, 1691, 83554, 304, 11093, 10043, 627, 32641, 685, 520, 279, 25379, 27957, 55, 753, 10121, 17261, 18594, 11, 323, 499, 2643, 539, 5406, 430, 304, 279, 66746, 12, 58400, 15813, 13375, 555, 279, 5165, 29866, 38081, 19220, 17128, 320, 45, 2607, 7934, 8, 420, 19913, 49480, 64859, 912, 2731, 1109, 264, 220, 18, 21337, 10959, 369, 279, 5696, 323, 4156, 24023, 13, 763, 682, 1023, 452, 2607, 7934, 7177, 11, 439, 1664, 439, 1884, 10887, 555, 279, 22413, 10181, 369, 29866, 19220, 320, 5660, 12228, 705, 279, 27957, 55, 27772, 1664, 13, 578, 8105, 12228, 706, 539, 11, 4869, 11, 12793, 420, 25379, 369, 2678, 28347, 66746, 12, 58400, 9313, 627, 51697, 22808, 5764, 279, 5652, 2373, 315, 1202, 3092, 51697, 22808, 19898, 5557, 304, 279, 220, 679, 19, 27957, 55, 11, 323, 433, 649, 387, 33624, 311, 264, 10873, 1887, 323, 264, 15193, 7855, 1887, 555, 19301, 279, 34864, 17333, 13, 362, 55370, 24178, 8245, 744, 449, 11511, 38081, 14302, 11, 264, 76283, 6382, 11, 323, 48232, 88720, 527, 5343, 449, 279, 26745, 323, 34864, 64484, 11, 323, 279, 27957, 55, 649, 1101, 387, 3072, 291, 449, 87508, 47477, 7935, 449, 264, 52648, 27956, 1887, 13, 128001, 128000, 2028, 8736, 21497, 315, 279, 2380, 9178, 42451, 23591, 10948, 17772, 374, 264, 3361, 20632, 369, 279, 220, 1272, 339, 47898, 315, 12656, 42482, 753, 4648, 13, 16877, 287, 578, 24899, 68703, 690, 387, 20142, 505, 22319, 3402, 531, 683, 27315, 304, 264, 2068, 2663, 1054, 2746, 10948, 387, 279, 12369, 315, 10919, 863, 578, 17772, 690, 3136, 389, 62180, 323, 80523, 1555, 5887, 220, 605, 449, 4848, 2204, 47679, 323, 1101, 264, 3658, 12517, 21497, 627, 791, 56004, 58716, 864, 15204, 12525, 49626, 449, 5277, 4633, 10783, 4488, 356, 799, 74, 323, 45518, 690, 387, 9076, 832, 4376, 21925, 1603, 21497, 3115, 13, 77051, 11263, 279, 5178, 627, 128001, 128000, 1085, 366, 9862, 397, 1085, 366, 31616, 397, 1085, 366, 39466, 397, 1085, 366, 928, 397, 1085, 366, 3295, 397, 1085, 366, 13741, 2062, 397, 985, 4573, 1487, 401, 396, 1925, 1577, 12107, 11, 1181, 3146, 6645, 340, 517, 262, 4724, 4252, 29, 7638, 16, 280, 262, 528, 264, 280, 262, 1418, 56014, 3662, 264, 340, 262, 341, 286, 7638, 16, 2615, 3982, 2948, 317, 286, 5142, 1134, 330, 1820, 4724, 596, 1404, 374, 25, 330, 1134, 7638, 16, 2546, 368, 1134, 5342, 280, 286, 5142, 1134, 330, 1820, 6563, 488, 374, 25, 330, 1134, 7638, 16, 60268, 368, 1134, 5342, 280, 262, 557, 262, 471, 220, 15, 280, 92, 128001, 128000, 38, 3981, 6960, 17723, 1540, 11, 3363, 304, 279, 26746, 11, 5829, 11165, 285, 1037, 753, 571, 49, 68799, 311, 50460, 279, 6020, 5326, 304, 279, 4500, 315, 11983, 7224, 4028, 279, 5654, 627, 1687, 1646, 682, 4595, 315, 18563, 7100, 26350, 13, 5688, 35327, 11, 584, 617, 2204, 15285, 1778, 439, 2802, 323, 25544, 11, 719, 1101, 892, 323, 3430, 527, 4315, 279, 1988, 5137, 13, 3161, 1855, 15398, 4131, 264, 10824, 315, 1521, 5137, 13, 571, 49, 68799, 5825, 603, 449, 279, 5845, 311, 28696, 264, 4856, 4228, 1920, 369, 264, 1633, 6485, 22702, 627, 49078, 1540, 374, 264, 4409, 304, 279, 26746, 430, 23874, 2212, 220, 1774, 16400, 505, 279, 3224, 753, 6864, 11, 38841, 13, 1102, 706, 264, 17226, 3925, 323, 574, 3131, 832, 315, 279, 1925, 60618, 36282, 304, 38915, 4245, 311, 1202, 3813, 389, 279, 13962, 11, 323, 574, 13517, 279, 3224, 753, 1925, 75742, 369, 6696, 449, 279, 6460, 85318, 13, 4452, 2391, 279, 1566, 5743, 315, 24552, 1202, 7100, 2704, 4024, 1139, 18174, 13, 12220, 279, 220, 4468, 15, 82, 279, 8792, 3109, 6773, 430, 38841, 4460, 16891, 304, 279, 1376, 315, 1054, 37568, 18652, 9919, 2029, 1666, 38841, 753, 7187, 8738, 311, 3139, 11, 17723, 1540, 6244, 459, 15098, 31528, 41180, 369, 1884, 3411, 311, 3974, 4994, 315, 279, 7173, 3252, 6864, 13, 3161, 1202, 3345, 37843, 311, 279, 3363, 11, 279, 79010, 315, 9515, 11, 323, 459, 7859, 40106, 14054, 11, 279, 4409, 315, 17723, 1540, 574, 264, 1695, 10778, 369, 1884, 6380, 311, 59263, 627, 791, 14800, 315, 17723, 1540, 8967, 430, 279, 3363, 5196, 4460, 311, 3139, 11, 323, 704, 6852, 29149, 4363, 6244, 264, 5211, 369, 1202, 20658, 8670, 13, 1115, 14529, 14800, 3445, 78875, 6960, 17723, 1540, 320, 1820, 4409, 315, 17723, 1540, 8, 3432, 706, 4363, 4500, 304, 1202, 15922, 11, 4869, 810, 6051, 433, 706, 9687, 430, 420, 4500, 1920, 374, 539, 2085, 15635, 13, 3161, 279, 7982, 23354, 315, 11493, 9919, 323, 16265, 81, 2461, 304, 3293, 1667, 11, 10937, 706, 3719, 16127, 11, 323, 433, 374, 810, 5107, 311, 4662, 4363, 311, 1972, 12675, 13707, 10032, 311, 1977, 15316, 4994, 315, 279, 3363, 627, 9140, 287, 29149, 4363, 1139, 20658, 11983, 5789, 374, 264, 6485, 323, 11646, 1920, 369, 78875, 6960, 17723, 1540, 13, 578, 15177, 3966, 311, 1893, 279, 16188, 5540, 315, 904, 502, 20658, 3158, 11, 902, 5764, 14708, 11, 40073, 11, 13217, 10283, 323, 3363, 13001, 1389, 4395, 430, 4131, 449, 30829, 904, 502, 3363, 13, 578, 9341, 649, 387, 2212, 220, 1049, 76, 86566, 11, 779, 18646, 279, 6020, 5326, 374, 7718, 627, 57330, 5137, 527, 743, 2949, 571, 49, 68799, 430, 2187, 78875, 6960, 17723, 1540, 311, 3619, 279, 4442, 311, 7194, 430, 2586, 449, 4500, 13, 1789, 3187, 11, 4211, 430, 9395, 311, 50460, 279, 15635, 315, 2853, 12992, 2212, 459, 7100, 30845, 4245, 311, 3430, 12992, 555, 8246, 19339, 6832, 3600, 527, 304, 7631, 13, 2582, 279, 59214, 315, 420, 304, 459, 7100, 3428, 11, 994, 7729, 527, 11293, 13, 578, 3160, 315, 264, 2447, 649, 1101, 1518, 264, 7029, 23851, 304, 279, 3430, 315, 279, 4363, 430, 279, 3363, 374, 3411, 311, 7782, 477, 4662, 11, 11911, 389, 279, 7100, 6671, 11, 323, 420, 649, 617, 5115, 264, 3544, 5536, 389, 264, 4500, 2447, 13, 68148, 304, 7729, 315, 1120, 220, 20, 12, 605, 4, 649, 1304, 264, 3544, 6811, 304, 279, 6020, 20124, 13, 1666, 961, 315, 279, 15279, 811, 11, 78875, 6960, 17723, 1540, 6276, 369, 21913, 2133, 1523, 220, 508, 4, 477, 709, 220, 868, 13689, 323, 420, 6835, 1124, 279, 20616, 1555, 264, 46867, 58870, 19576, 315, 1148, 279, 1121, 1436, 387, 13, 1115, 6276, 78875, 6960, 17723, 1540, 279, 5845, 311, 1180, 11, 3060, 58675, 709, 264, 2447, 477, 48408, 433, 1523, 627, 2409, 279, 1005, 315, 571, 49, 68799, 11, 78875, 6960, 17723, 1540, 374, 3025, 311, 50460, 279, 15635, 5938, 449, 1521, 90669, 7224, 11, 3085, 9650, 311, 279, 15177, 11, 323, 2187, 1124, 311, 1304, 11429, 430, 690, 40646, 5536, 279, 4029, 13, 57535, 8458, 277, 20536, 11, 1054, 31, 49, 68799, 374, 264, 4382, 11, 21705, 6108, 5507, 430, 374, 42045, 304, 279, 990, 584, 656, 28628, 68577, 264, 1633, 6485, 3465, 6288, 11, 323, 374, 6332, 311, 1057, 990, 304, 14892, 449, 279, 1421, 17356, 2987, 315, 1057, 6020, 28489, 389, 459, 9974, 8197, 1210, 128001 ]
[ -100, 2028, 1060, 11, 25379, 6209, 279, 220, 679, 19, 27957, 55, 449, 264, 502, 19439, 14398, 17333, 11, 11621, 279, 5652, 2373, 315, 279, 3092, 51697, 22808, 19898, 4225, 354, 73712, 1887, 311, 279, 49480, 39773, 11, 323, 97604, 433, 304, 502, 45092, 423, 2957, 323, 63790, 87971, 6308, 8146, 627, 791, 220, 679, 19, 25379, 27957, 55, 374, 6216, 304, 264, 3254, 2237, 315, 26185, 430, 649, 387, 33624, 449, 26745, 11, 34864, 11, 323, 19439, 14398, 3072, 14519, 627, 96144, 279, 27957, 55, 26745, 3445, 279, 19913, 49480, 374, 19167, 449, 15193, 84868, 660, 18012, 16712, 449, 13168, 1933, 77579, 11, 264, 2410, 37300, 14, 668, 64631, 25847, 323, 32813, 33277, 13587, 11, 32813, 14981, 16712, 11, 35288, 13691, 18186, 11, 323, 75648, 6134, 85367, 1156, 1386, 25485, 13, 578, 27957, 55, 26745, 32327, 389, 44461, 220, 972, 25224, 25674, 23529, 11, 323, 433, 4519, 48232, 62515, 88720, 11, 13414, 2543, 8450, 34824, 304, 279, 3185, 18327, 7851, 826, 11, 11422, 1355, 49205, 289, 59935, 11, 323, 264, 76283, 6382, 13, 1115, 1646, 1101, 5764, 264, 55370, 24178, 8245, 744, 449, 11511, 38081, 14302, 627, 44961, 311, 279, 27957, 55, 34864, 369, 264, 7899, 12, 31262, 10873, 1887, 449, 1972, 7394, 9629, 11, 264, 4534, 55, 8105, 36542, 15193, 7855, 1887, 449, 12445, 13792, 11, 323, 264, 84357, 7160, 76736, 13, 21663, 2373, 315, 279, 27957, 55, 649, 387, 3072, 291, 449, 264, 502, 19439, 14398, 17333, 430, 71420, 79350, 8048, 18012, 16712, 11, 459, 11838, 18012, 6514, 304, 279, 1890, 1933, 11, 2579, 13168, 80231, 11, 323, 12538, 350, 2249, 66981, 77579, 323, 55788, 627, 30119, 2671, 2561, 369, 279, 27957, 55, 2997, 33624, 6308, 11, 7732, 15135, 11259, 11, 71702, 660, 4156, 16712, 11, 87508, 47477, 7935, 449, 264, 52648, 27956, 1887, 11, 323, 264, 19091, 30360, 14981, 79181, 16924, 1887, 13, 38042, 89792, 7241, 374, 1101, 10309, 11, 3235, 449, 15485, 43700, 323, 264, 5873, 1990, 220, 508, 25224, 477, 220, 1313, 25224, 25674, 23529, 627, 11769, 220, 679, 19, 25379, 27957, 55, 374, 19167, 449, 264, 220, 18, 13, 22, 86694, 650, 12, 21, 4817, 24038, 220, 13364, 70886, 323, 220, 11209, 19398, 12898, 728, 13, 315, 42131, 13, 362, 220, 21, 30699, 17392, 18874, 449, 40403, 6541, 388, 374, 5410, 11, 10043, 279, 39773, 753, 4156, 23529, 13, 2052, 62727, 83510, 374, 10309, 627, 2746, 499, 1541, 1431, 1397, 362, 18023, 11, 499, 4805, 636, 2731, 10633, 8752, 13, 3161, 362, 18023, 11, 279, 27957, 55, 374, 3685, 311, 636, 220, 777, 83554, 304, 11093, 10043, 13, 47561, 449, 279, 4156, 83510, 1646, 11, 323, 279, 39773, 4780, 220, 1691, 83554, 304, 11093, 10043, 627, 32641, 685, 520, 279, 25379, 27957, 55, 753, 10121, 17261, 18594, 11, 323, 499, 2643, 539, 5406, 430, 304, 279, 66746, 12, 58400, 15813, 13375, 555, 279, 5165, 29866, 38081, 19220, 17128, 320, 45, 2607, 7934, 8, 420, 19913, 49480, 64859, 912, 2731, 1109, 264, 220, 18, 21337, 10959, 369, 279, 5696, 323, 4156, 24023, 13, 763, 682, 1023, 452, 2607, 7934, 7177, 11, 439, 1664, 439, 1884, 10887, 555, 279, 22413, 10181, 369, 29866, 19220, 320, 5660, 12228, 705, 279, 27957, 55, 27772, 1664, 13, 578, 8105, 12228, 706, 539, 11, 4869, 11, 12793, 420, 25379, 369, 2678, 28347, 66746, 12, 58400, 9313, 627, 51697, 22808, 5764, 279, 5652, 2373, 315, 1202, 3092, 51697, 22808, 19898, 5557, 304, 279, 220, 679, 19, 27957, 55, 11, 323, 433, 649, 387, 33624, 311, 264, 10873, 1887, 323, 264, 15193, 7855, 1887, 555, 19301, 279, 34864, 17333, 13, 362, 55370, 24178, 8245, 744, 449, 11511, 38081, 14302, 11, 264, 76283, 6382, 11, 323, 48232, 88720, 527, 5343, 449, 279, 26745, 323, 34864, 64484, 11, 323, 279, 27957, 55, 649, 1101, 387, 3072, 291, 449, 87508, 47477, 7935, 449, 264, 52648, 27956, 1887, 13, 128001, -100, 2028, 8736, 21497, 315, 279, 2380, 9178, 42451, 23591, 10948, 17772, 374, 264, 3361, 20632, 369, 279, 220, 1272, 339, 47898, 315, 12656, 42482, 753, 4648, 13, 16877, 287, 578, 24899, 68703, 690, 387, 20142, 505, 22319, 3402, 531, 683, 27315, 304, 264, 2068, 2663, 1054, 2746, 10948, 387, 279, 12369, 315, 10919, 863, 578, 17772, 690, 3136, 389, 62180, 323, 80523, 1555, 5887, 220, 605, 449, 4848, 2204, 47679, 323, 1101, 264, 3658, 12517, 21497, 627, 791, 56004, 58716, 864, 15204, 12525, 49626, 449, 5277, 4633, 10783, 4488, 356, 799, 74, 323, 45518, 690, 387, 9076, 832, 4376, 21925, 1603, 21497, 3115, 13, 77051, 11263, 279, 5178, 627, 128001, -100, 1085, 366, 9862, 397, 1085, 366, 31616, 397, 1085, 366, 39466, 397, 1085, 366, 928, 397, 1085, 366, 3295, 397, 1085, 366, 13741, 2062, 397, 985, 4573, 1487, 401, 396, 1925, 1577, 12107, 11, 1181, 3146, 6645, 340, 517, 262, 4724, 4252, 29, 7638, 16, 280, 262, 528, 264, 280, 262, 1418, 56014, 3662, 264, 340, 262, 341, 286, 7638, 16, 2615, 3982, 2948, 317, 286, 5142, 1134, 330, 1820, 4724, 596, 1404, 374, 25, 330, 1134, 7638, 16, 2546, 368, 1134, 5342, 280, 286, 5142, 1134, 330, 1820, 6563, 488, 374, 25, 330, 1134, 7638, 16, 60268, 368, 1134, 5342, 280, 262, 557, 262, 471, 220, 15, 280, 92, 128001, -100, 38, 3981, 6960, 17723, 1540, 11, 3363, 304, 279, 26746, 11, 5829, 11165, 285, 1037, 753, 571, 49, 68799, 311, 50460, 279, 6020, 5326, 304, 279, 4500, 315, 11983, 7224, 4028, 279, 5654, 627, 1687, 1646, 682, 4595, 315, 18563, 7100, 26350, 13, 5688, 35327, 11, 584, 617, 2204, 15285, 1778, 439, 2802, 323, 25544, 11, 719, 1101, 892, 323, 3430, 527, 4315, 279, 1988, 5137, 13, 3161, 1855, 15398, 4131, 264, 10824, 315, 1521, 5137, 13, 571, 49, 68799, 5825, 603, 449, 279, 5845, 311, 28696, 264, 4856, 4228, 1920, 369, 264, 1633, 6485, 22702, 627, 49078, 1540, 374, 264, 4409, 304, 279, 26746, 430, 23874, 2212, 220, 1774, 16400, 505, 279, 3224, 753, 6864, 11, 38841, 13, 1102, 706, 264, 17226, 3925, 323, 574, 3131, 832, 315, 279, 1925, 60618, 36282, 304, 38915, 4245, 311, 1202, 3813, 389, 279, 13962, 11, 323, 574, 13517, 279, 3224, 753, 1925, 75742, 369, 6696, 449, 279, 6460, 85318, 13, 4452, 2391, 279, 1566, 5743, 315, 24552, 1202, 7100, 2704, 4024, 1139, 18174, 13, 12220, 279, 220, 4468, 15, 82, 279, 8792, 3109, 6773, 430, 38841, 4460, 16891, 304, 279, 1376, 315, 1054, 37568, 18652, 9919, 2029, 1666, 38841, 753, 7187, 8738, 311, 3139, 11, 17723, 1540, 6244, 459, 15098, 31528, 41180, 369, 1884, 3411, 311, 3974, 4994, 315, 279, 7173, 3252, 6864, 13, 3161, 1202, 3345, 37843, 311, 279, 3363, 11, 279, 79010, 315, 9515, 11, 323, 459, 7859, 40106, 14054, 11, 279, 4409, 315, 17723, 1540, 574, 264, 1695, 10778, 369, 1884, 6380, 311, 59263, 627, 791, 14800, 315, 17723, 1540, 8967, 430, 279, 3363, 5196, 4460, 311, 3139, 11, 323, 704, 6852, 29149, 4363, 6244, 264, 5211, 369, 1202, 20658, 8670, 13, 1115, 14529, 14800, 3445, 78875, 6960, 17723, 1540, 320, 1820, 4409, 315, 17723, 1540, 8, 3432, 706, 4363, 4500, 304, 1202, 15922, 11, 4869, 810, 6051, 433, 706, 9687, 430, 420, 4500, 1920, 374, 539, 2085, 15635, 13, 3161, 279, 7982, 23354, 315, 11493, 9919, 323, 16265, 81, 2461, 304, 3293, 1667, 11, 10937, 706, 3719, 16127, 11, 323, 433, 374, 810, 5107, 311, 4662, 4363, 311, 1972, 12675, 13707, 10032, 311, 1977, 15316, 4994, 315, 279, 3363, 627, 9140, 287, 29149, 4363, 1139, 20658, 11983, 5789, 374, 264, 6485, 323, 11646, 1920, 369, 78875, 6960, 17723, 1540, 13, 578, 15177, 3966, 311, 1893, 279, 16188, 5540, 315, 904, 502, 20658, 3158, 11, 902, 5764, 14708, 11, 40073, 11, 13217, 10283, 323, 3363, 13001, 1389, 4395, 430, 4131, 449, 30829, 904, 502, 3363, 13, 578, 9341, 649, 387, 2212, 220, 1049, 76, 86566, 11, 779, 18646, 279, 6020, 5326, 374, 7718, 627, 57330, 5137, 527, 743, 2949, 571, 49, 68799, 430, 2187, 78875, 6960, 17723, 1540, 311, 3619, 279, 4442, 311, 7194, 430, 2586, 449, 4500, 13, 1789, 3187, 11, 4211, 430, 9395, 311, 50460, 279, 15635, 315, 2853, 12992, 2212, 459, 7100, 30845, 4245, 311, 3430, 12992, 555, 8246, 19339, 6832, 3600, 527, 304, 7631, 13, 2582, 279, 59214, 315, 420, 304, 459, 7100, 3428, 11, 994, 7729, 527, 11293, 13, 578, 3160, 315, 264, 2447, 649, 1101, 1518, 264, 7029, 23851, 304, 279, 3430, 315, 279, 4363, 430, 279, 3363, 374, 3411, 311, 7782, 477, 4662, 11, 11911, 389, 279, 7100, 6671, 11, 323, 420, 649, 617, 5115, 264, 3544, 5536, 389, 264, 4500, 2447, 13, 68148, 304, 7729, 315, 1120, 220, 20, 12, 605, 4, 649, 1304, 264, 3544, 6811, 304, 279, 6020, 20124, 13, 1666, 961, 315, 279, 15279, 811, 11, 78875, 6960, 17723, 1540, 6276, 369, 21913, 2133, 1523, 220, 508, 4, 477, 709, 220, 868, 13689, 323, 420, 6835, 1124, 279, 20616, 1555, 264, 46867, 58870, 19576, 315, 1148, 279, 1121, 1436, 387, 13, 1115, 6276, 78875, 6960, 17723, 1540, 279, 5845, 311, 1180, 11, 3060, 58675, 709, 264, 2447, 477, 48408, 433, 1523, 627, 2409, 279, 1005, 315, 571, 49, 68799, 11, 78875, 6960, 17723, 1540, 374, 3025, 311, 50460, 279, 15635, 5938, 449, 1521, 90669, 7224, 11, 3085, 9650, 311, 279, 15177, 11, 323, 2187, 1124, 311, 1304, 11429, 430, 690, 40646, 5536, 279, 4029, 13, 57535, 8458, 277, 20536, 11, 1054, 31, 49, 68799, 374, 264, 4382, 11, 21705, 6108, 5507, 430, 374, 42045, 304, 279, 990, 584, 656, 28628, 68577, 264, 1633, 6485, 3465, 6288, 11, 323, 374, 6332, 311, 1057, 990, 304, 14892, 449, 279, 1421, 17356, 2987, 315, 1057, 6020, 28489, 389, 459, 9974, 8197, 1210, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732 ]
[ 128000, 36500, 7224, 6946, 198, 73728, 4584, 12608, 276, 11, 10783, 315, 9853, 1708, 10808, 5165, 32184, 11, 16964, 1268, 279, 11868, 5825, 11692, 763, 1257, 4893, 374, 264, 2035, 430, 15714, 499, 13488, 11, 2246, 11, 323, 4430, 701, 32558, 53862, 13, 362, 1949, 4029, 369, 11821, 72345, 6946, 323, 2262, 369, 13639, 323, 4236, 13, 1226, 527, 459, 6873, 10968, 11, 6220, 22150, 369, 13639, 11, 8853, 11, 323, 2162, 53243, 627, 96609, 1949, 11326, 6721, 4500, 11, 5070, 11, 323, 7640, 13, 7199, 3953, 11, 3821, 6946, 11, 4048, 922, 10099, 11, 323, 7634, 11, 323, 636, 2523, 13363, 389, 279, 5165, 66542, 23338, 3997, 627, 36500, 7224, 6946, 198, 10115, 9131, 323, 8198, 3754, 11, 5448, 323, 6946, 505, 22146, 596, 25365, 3998, 34003, 32184, 11, 279, 6522, 4219, 369, 59101, 27501, 315, 279, 13238, 1887, 13, 5513, 89617, 1139, 279, 1917, 315, 8198, 0, 4557, 1521, 7493, 438, 58378, 311, 4048, 922, 3754, 3673, 11, 32622, 454, 1233, 11, 31727, 6055, 38199, 11, 323, 1790, 810, 13, 18654, 48059, 39097, 25949, 41329, 315, 71154, 9045, 17331, 264, 40806, 8198, 2068, 16239, 1403, 93157, 5426, 1217, 13077, 11, 93157, 88213, 13, 9062, 1938, 11, 12224, 87672, 1934, 22781, 315, 9214, 315, 12224, 24654, 311, 22618, 31419, 1873, 7224, 520, 279, 56819, 11868, 315, 88939, 411, 2508, 11, 29820, 311, 279, 1917, 753, 13, 25972, 4584, 12608, 276, 11, 10783, 315, 9853, 1708, 10808, 5165, 32184, 11, 16964, 1268, 279, 11868, 5825, 11692, 198, 73107, 14756, 922, 1510, 8198, 323, 5557, 13, 59642, 5075, 406, 560, 11166, 323, 1057, 1023, 31387, 737, 26822, 3493, 16627, 7384, 11, 14645, 11, 41300, 323, 5552, 3600, 4028, 279, 14580, 30676, 13, 19921, 5513, 13, 29257, 31186, 13, 549, 815, 13, 3754, 11, 1917, 3754, 11, 11759, 11, 2835, 11, 47736, 11, 2890, 11, 16924, 11, 3300, 11, 13312, 11, 5944, 627, 14581, 477, 4232, 279, 5652, 7195, 6946, 11, 9131, 9013, 11, 27145, 11, 1115, 10563, 571, 62066, 11, 10170, 19235, 323, 810, 13, 4435, 12134, 91638, 88373, 374, 2162, 311, 4395, 16924, 612, 18638, 7598, 13, 578, 674, 16, 16036, 27487, 8647, 369, 15061, 279, 5652, 16036, 3754, 0, 30169, 8955, 611, 25532, 551, 47802, 25, 1442, 701, 2978, 477, 9474, 706, 15075, 1194, 5575, 47634, 11, 4254, 1457, 311, 2680, 279, 2539, 2930, 2373, 315, 279, 2363, 627, 14710, 89617, 1139, 279, 1917, 315, 8198, 0, 4557, 1521, 7493, 438, 58378, 311, 4048, 922, 3754, 3673, 11, 32622, 454, 1233, 11, 31727, 6055, 38199, 11, 323, 1790, 810, 13, 2650, 87722, 38783, 10170, 706, 41941, 323, 34966, 45543, 5552, 311, 9578, 8198, 11, 2324, 8198, 11, 323, 1023, 40164, 315, 279, 7106, 1917, 13, 3658, 34011, 25117, 39487, 11, 8198, 6762, 2447, 6848, 11, 3094, 555, 3094, 1268, 311, 656, 264, 8198, 6762, 2447, 11, 21069, 459, 33257, 10430, 4580, 11, 323, 8198, 6762, 10631, 369, 2450, 13, 128001 ]
[ -100, 36500, 7224, 6946, 198, 73728, 4584, 12608, 276, 11, 10783, 315, 9853, 1708, 10808, 5165, 32184, 11, 16964, 1268, 279, 11868, 5825, 11692, 763, 1257, 4893, 374, 264, 2035, 430, 15714, 499, 13488, 11, 2246, 11, 323, 4430, 701, 32558, 53862, 13, 362, 1949, 4029, 369, 11821, 72345, 6946, 323, 2262, 369, 13639, 323, 4236, 13, 1226, 527, 459, 6873, 10968, 11, 6220, 22150, 369, 13639, 11, 8853, 11, 323, 2162, 53243, 627, 96609, 1949, 11326, 6721, 4500, 11, 5070, 11, 323, 7640, 13, 7199, 3953, 11, 3821, 6946, 11, 4048, 922, 10099, 11, 323, 7634, 11, 323, 636, 2523, 13363, 389, 279, 5165, 66542, 23338, 3997, 627, 36500, 7224, 6946, 198, 10115, 9131, 323, 8198, 3754, 11, 5448, 323, 6946, 505, 22146, 596, 25365, 3998, 34003, 32184, 11, 279, 6522, 4219, 369, 59101, 27501, 315, 279, 13238, 1887, 13, 5513, 89617, 1139, 279, 1917, 315, 8198, 0, 4557, 1521, 7493, 438, 58378, 311, 4048, 922, 3754, 3673, 11, 32622, 454, 1233, 11, 31727, 6055, 38199, 11, 323, 1790, 810, 13, 18654, 48059, 39097, 25949, 41329, 315, 71154, 9045, 17331, 264, 40806, 8198, 2068, 16239, 1403, 93157, 5426, 1217, 13077, 11, 93157, 88213, 13, 9062, 1938, 11, 12224, 87672, 1934, 22781, 315, 9214, 315, 12224, 24654, 311, 22618, 31419, 1873, 7224, 520, 279, 56819, 11868, 315, 88939, 411, 2508, 11, 29820, 311, 279, 1917, 753, 13, 25972, 4584, 12608, 276, 11, 10783, 315, 9853, 1708, 10808, 5165, 32184, 11, 16964, 1268, 279, 11868, 5825, 11692, 198, 73107, 14756, 922, 1510, 8198, 323, 5557, 13, 59642, 5075, 406, 560, 11166, 323, 1057, 1023, 31387, 737, 26822, 3493, 16627, 7384, 11, 14645, 11, 41300, 323, 5552, 3600, 4028, 279, 14580, 30676, 13, 19921, 5513, 13, 29257, 31186, 13, 549, 815, 13, 3754, 11, 1917, 3754, 11, 11759, 11, 2835, 11, 47736, 11, 2890, 11, 16924, 11, 3300, 11, 13312, 11, 5944, 627, 14581, 477, 4232, 279, 5652, 7195, 6946, 11, 9131, 9013, 11, 27145, 11, 1115, 10563, 571, 62066, 11, 10170, 19235, 323, 810, 13, 4435, 12134, 91638, 88373, 374, 2162, 311, 4395, 16924, 612, 18638, 7598, 13, 578, 674, 16, 16036, 27487, 8647, 369, 15061, 279, 5652, 16036, 3754, 0, 30169, 8955, 611, 25532, 551, 47802, 25, 1442, 701, 2978, 477, 9474, 706, 15075, 1194, 5575, 47634, 11, 4254, 1457, 311, 2680, 279, 2539, 2930, 2373, 315, 279, 2363, 627, 14710, 89617, 1139, 279, 1917, 315, 8198, 0, 4557, 1521, 7493, 438, 58378, 311, 4048, 922, 3754, 3673, 11, 32622, 454, 1233, 11, 31727, 6055, 38199, 11, 323, 1790, 810, 13, 2650, 87722, 38783, 10170, 706, 41941, 323, 34966, 45543, 5552, 311, 9578, 8198, 11, 2324, 8198, 11, 323, 1023, 40164, 315, 279, 7106, 1917, 13, 3658, 34011, 25117, 39487, 11, 8198, 6762, 2447, 6848, 11, 3094, 555, 3094, 1268, 311, 656, 264, 8198, 6762, 2447, 11, 21069, 459, 33257, 10430, 4580, 11, 323, 8198, 6762, 10631, 369, 2450, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480 ]
[ 128000, 94893, 374, 264, 6366, 13901, 430, 13912, 22706, 389, 279, 1948, 13, 220, 763, 374, 24705, 584, 617, 264, 289, 462, 15010, 6037, 369, 1475, 45607, 315, 2324, 627, 4516, 11, 304, 264, 94013, 11, 3485, 505, 1694, 279, 1888, 13901, 315, 9096, 11, 374, 24705, 374, 1101, 264, 8641, 2239, 369, 5496, 279, 4832, 2324, 13, 3861, 45607, 477, 2449, 315, 2324, 374, 279, 5133, 1990, 264, 10177, 323, 7555, 13, 5810, 2288, 374, 24705, 706, 2867, 4018, 5718, 369, 6929, 11, 279, 5718, 902, 527, 8967, 311, 7916, 279, 3021, 323, 66264, 1990, 279, 5743, 13, 13266, 889, 1833, 279, 5718, 617, 264, 1633, 32487, 12502, 2324, 1524, 1306, 220, 508, 1667, 315, 11103, 13, 578, 15541, 8625, 13989, 323, 2574, 3719, 39345, 627, 14364, 8903, 315, 3823, 12135, 2737, 47451, 374, 430, 814, 656, 3663, 78518, 3115, 13, 763, 1162, 430, 374, 12765, 449, 499, 1243, 559, 10649, 15177, 36937, 374, 1070, 311, 1520, 499, 3619, 701, 308, 7717, 532, 4819, 323, 3493, 264, 11175, 311, 1124, 13, 763, 1162, 2574, 1541, 1431, 2103, 21057, 1664, 369, 499, 7752, 323, 25768, 374, 279, 1193, 1648, 704, 1243, 36937, 559, 10649, 15177, 25549, 374, 279, 1648, 8469, 627, 12792, 16716, 477, 259, 6181, 587, 374, 264, 6485, 1920, 304, 374, 24705, 323, 433, 374, 539, 779, 5804, 483, 519, 439, 584, 1518, 304, 279, 9698, 13, 1102, 374, 539, 1093, 264, 10177, 2795, 24657, 259, 6181, 80, 323, 25549, 690, 3621, 13, 2684, 374, 264, 6300, 1648, 369, 433, 323, 420, 10537, 649, 1193, 387, 13375, 1234, 279, 19351, 315, 36937, 559, 10649, 15177, 11, 3984, 499, 3974, 304, 1202, 29101, 627, 94893, 3604, 1587, 539, 1862, 25549, 11, 439, 264, 13901, 25549, 374, 279, 1566, 22541, 323, 1070, 527, 5718, 323, 14640, 430, 26549, 2633, 279, 4553, 1920, 13, 1666, 584, 9932, 1603, 433, 374, 539, 1093, 279, 1648, 814, 43504, 433, 304, 9698, 627, 2746, 264, 5743, 374, 951, 404, 788, 315, 259, 6181, 80, 11, 1243, 1306, 279, 1176, 259, 6181, 80, 374, 8791, 83, 1171, 11, 814, 527, 10171, 311, 4667, 449, 559, 10649, 15177, 13, 5810, 279, 6335, 83031, 4079, 24958, 323, 31839, 690, 9020, 311, 279, 5743, 323, 3619, 1148, 374, 279, 6149, 5353, 315, 279, 259, 1892, 273, 13, 18156, 433, 374, 6996, 315, 5912, 7106, 66264, 430, 374, 279, 5353, 11, 7170, 1070, 527, 1023, 5540, 13, 35053, 11, 8996, 2643, 387, 279, 1162, 11, 279, 15177, 6835, 42853, 10708, 323, 1520, 311, 279, 5743, 311, 64508, 872, 12062, 323, 3719, 832, 1578, 627, 11458, 1524, 1306, 279, 1888, 9045, 279, 5743, 4250, 387, 389, 279, 1890, 2199, 449, 872, 11103, 1243, 264, 25549, 374, 64702, 4147, 323, 279, 5743, 374, 33142, 922, 279, 1648, 8469, 13, 2435, 527, 3309, 922, 279, 10537, 304, 1162, 814, 1390, 311, 387, 3871, 1306, 36113, 627, 94893, 374, 264, 13901, 315, 9096, 323, 3021, 11, 584, 617, 1057, 6366, 5627, 311, 3974, 2324, 323, 1935, 2512, 315, 904, 4819, 13, 3234, 4667, 449, 603, 311, 1440, 810, 922, 279, 3600, 430, 527, 9076, 520, 36937, 559, 10649, 15177, 13, 362, 26733, 2324, 71904, 499, 13, 128001, 128000, 33, 13, 8899, 20, 13, 1472, 3350, 3060, 489, 477, 482, 12195, 1990, 279, 5219, 304, 279, 8668, 220, 16, 26, 220, 17, 26, 220, 18, 26, 220, 19, 26, 220, 20, 26, 4696, 779, 430, 499, 1053, 636, 220, 679, 23, 439, 264, 1121, 439, 5246, 439, 3284, 13, 3639, 374, 279, 15821, 3284, 1396, 304, 279, 8668, 584, 617, 311, 733, 709, 311, 5380, 33, 13, 8899, 21, 13, 2684, 527, 220, 806, 7724, 323, 220, 845, 13305, 304, 264, 538, 13, 11205, 7033, 11326, 6835, 1124, 220, 508, 5435, 13, 9062, 3575, 374, 2728, 311, 3060, 264, 8334, 11, 477, 264, 3828, 11, 477, 264, 8334, 63970, 5743, 13, 9062, 3575, 374, 2728, 704, 1193, 3131, 11, 323, 1855, 5575, 706, 311, 990, 389, 1193, 832, 3575, 13, 2650, 1690, 13305, 323, 1268, 1690, 7724, 5371, 264, 3575, 389, 872, 1866, 5380, 33, 13, 8899, 22, 13, 2650, 1690, 220, 17, 49442, 6928, 4459, 5219, 527, 6273, 311, 279, 9518, 315, 279, 2694, 315, 872, 19016, 5380, 33, 13, 8899, 23, 13, 1226, 1053, 1093, 311, 4018, 709, 264, 52524, 7363, 315, 19692, 1139, 52524, 9863, 13, 5629, 584, 1304, 264, 2478, 15455, 15638, 311, 1403, 14329, 11314, 315, 279, 7363, 11, 1243, 584, 1304, 264, 2478, 15455, 77933, 311, 1521, 13, 1226, 1903, 264, 2860, 315, 220, 1032, 15455, 13, 16910, 279, 1396, 315, 9863, 387, 512, 33, 13, 8899, 24, 13, 12362, 4330, 20086, 19016, 11, 75075, 11, 323, 264, 2478, 37072, 7677, 11, 1893, 279, 1396, 220, 966, 304, 439, 1690, 2204, 5627, 439, 3284, 627, 33, 13, 9079, 15, 13, 763, 279, 2768, 5219, 25, 220, 16, 7561, 11, 220, 17, 7561, 11, 220, 18, 7561, 11, 4696, 11, 220, 679, 23, 7561, 11, 1148, 1288, 584, 28779, 369, 1054, 64, 863, 422, 279, 2694, 315, 1521, 5219, 374, 220, 11123, 4331, 5380, 33, 13, 9079, 16, 13, 4427, 9518, 5219, 7293, 32440, 1524, 422, 499, 3350, 459, 5066, 16099, 220, 16, 520, 279, 842, 315, 279, 1396, 13, 7531, 279, 25655, 1778, 6928, 9518, 1396, 627, 33, 13, 9079, 17, 13, 9842, 1523, 279, 6928, 220, 17, 49442, 5219, 304, 459, 7859, 2015, 555, 1701, 6437, 11, 2579, 11, 323, 6307, 5869, 304, 420, 2015, 35611, 369, 279, 19016, 13, 3639, 374, 279, 1933, 315, 279, 1566, 16099, 220, 22, 499, 617, 311, 3350, 1523, 5380, 5618, 3708, 701, 10105, 1618, 627, 791, 61115, 29549, 6181, 46945, 17236, 374, 85441, 279, 20852, 315, 4236, 505, 6890, 13, 2100, 11, 422, 499, 527, 264, 5575, 5496, 304, 6890, 11, 4587, 11, 3708, 701, 10105, 311, 25, 5856, 426, 505, 6890, 198, 3792, 311, 7043, 45793, 96097, 7327, 4242, 26323, 128001, 128000, 2675, 1071, 279, 2132, 4376, 315, 433, 13, 358, 75826, 433, 1139, 832, 11, 4228, 4791, 72207, 2752, 11914, 13, 12522, 499, 25565, 889, 584, 2351, 14892, 449, 1618, 30, 2360, 17193, 627, 2940, 1550, 499, 636, 430, 6945, 315, 26044, 31042, 5380, 12174, 856, 342, 9451, 430, 574, 779, 15526, 0, 8840, 3868, 11, 2646, 4059, 627, 40, 1440, 11, 430, 574, 41367, 11, 5828, 956, 433, 13, 220, 22591, 22770, 11, 1314, 1070, 13, 220, 38891, 1268, 15526, 568, 4265, 387, 422, 358, 5828, 956, 779, 6555, 311, 1461, 627, 2675, 649, 956, 387, 6555, 311, 1063, 1274, 8054, 78928, 708, 889, 374, 11493, 24931, 1243, 5380, 60916, 374, 11, 3930, 71, 1578, 627, 40, 1097, 6555, 311, 682, 13, 1442, 1274, 1390, 311, 387, 21706, 2857, 311, 757, 11, 779, 387, 433, 13, 358, 1097, 279, 2731, 1732, 13, 11452, 5762, 1579, 627, 128001, 128000, 4599, 499, 1781, 315, 70181, 11, 499, 4762, 1781, 1176, 315, 3691, 11, 323, 1070, 596, 264, 1695, 2944, 3249, 13, 9176, 315, 701, 1455, 3062, 6136, 15657, 11, 1093, 14095, 323, 35267, 11, 527, 9257, 304, 70181, 13, 763, 2144, 11, 70181, 374, 9124, 555, 682, 6307, 11012, 11, 8051, 1063, 315, 1124, 527, 59774, 449, 433, 1109, 3885, 13, 47966, 1093, 499, 11, 555, 13168, 11, 8356, 72157, 11968, 4619, 627, 21279, 70181, 323, 72157, 11968, 8854, 439, 4907, 5942, 13, 578, 6136, 19159, 70181, 505, 34323, 311, 3493, 264, 8312, 369, 3010, 1005, 13, 74089, 11, 20282, 323, 15286, 388, 8965, 6782, 10283, 315, 5066, 70181, 311, 5510, 279, 10533, 2785, 477, 6136, 430, 690, 8314, 412, 505, 1124, 2391, 1202, 4216, 6650, 13, 50487, 11, 994, 701, 3691, 374, 4170, 10185, 11, 701, 26587, 10756, 1063, 315, 279, 34323, 505, 701, 15496, 439, 72157, 11968, 369, 3010, 57470, 13, 4718, 16124, 49774, 1101, 2567, 1063, 72157, 11968, 26222, 439, 1664, 627, 21279, 70181, 288, 323, 72157, 11968, 527, 46033, 388, 14454, 505, 13465, 35715, 2663, 34323, 13, 9062, 9678, 43030, 315, 34323, 706, 279, 15150, 356, 21, 39, 717, 46, 11, 323, 18667, 1521, 1207, 26726, 3871, 304, 264, 3738, 1648, 7739, 279, 1317, 27271, 430, 1304, 709, 72157, 11968, 323, 70181, 13, 2684, 527, 1403, 4595, 315, 70181, 25, 64383, 1497, 323, 64383, 385, 1002, 258, 13, 5046, 1521, 1403, 11, 72157, 11968, 374, 810, 4528, 311, 64383, 385, 1002, 258, 11, 2533, 279, 13465, 27271, 304, 72157, 11968, 323, 64383, 385, 1002, 258, 527, 7701, 53358, 2454, 11, 1418, 64383, 1497, 374, 26549, 13790, 627, 32641, 94697, 649, 3073, 304, 5361, 7739, 2663, 374, 69638, 13, 763, 1855, 315, 1521, 11, 279, 31206, 15150, 374, 279, 1890, 11, 719, 279, 1648, 279, 33299, 527, 28902, 374, 2204, 13, 800, 1132, 323, 72157, 11968, 527, 2225, 14454, 505, 8451, 34323, 11, 459, 374, 26429, 304, 902, 264, 17055, 4223, 477, 482, 47861, 1912, 389, 279, 1176, 315, 279, 4848, 35872, 2439, 374, 389, 279, 14329, 3185, 315, 279, 10264, 505, 12782, 220, 21, 13, 13596, 1648, 311, 2019, 420, 374, 430, 12782, 220, 21, 323, 279, 17055, 4223, 1912, 527, 1380, 311, 1855, 1023, 304, 279, 8451, 34323, 374, 26429, 627, 7927, 60071, 1887, 649, 1464, 709, 2225, 70181, 323, 72157, 11968, 11, 779, 814, 1304, 1695, 8336, 315, 4907, 13, 2435, 527, 2225, 1633, 2204, 304, 420, 5363, 505, 70002, 974, 13, 9086, 70181, 323, 72157, 11968, 11, 70002, 974, 374, 264, 34323, 47393, 11, 719, 20426, 70181, 323, 72157, 11968, 11, 433, 5727, 1193, 13746, 34323, 35715, 13, 53123, 11, 1855, 34323, 43030, 374, 330, 1517, 6586, 1, 449, 5201, 311, 1202, 9760, 11, 6968, 264, 1317, 323, 7701, 33956, 8957, 13, 6104, 701, 60071, 1887, 649, 1464, 1523, 72157, 11968, 323, 70181, 11, 1243, 11, 433, 649, 956, 656, 1790, 449, 70002, 974, 11, 902, 16609, 439, 24722, 1555, 701, 60071, 1887, 627, 12, 11064, 16666, 50789, 3726, 14, 54737, 18556, 21560, 12041, 198, 791, 22196, 1385, 612, 86897, 315, 800, 1132, 612, 79183, 66, 11968, 198, 15000, 1065, 582, 1799, 3422, 11, 1778, 439, 70181, 323, 72157, 11968, 11, 527, 6485, 27271, 315, 62345, 24306, 315, 1647, 437, 582, 1799, 579, 8316, 11, 1778, 439, 34323, 13, 50298, 323, 10099, 3637, 9522, 37, 9242, 8269, 304, 7793, 83334, 612, 445, 1065, 483, 198, 37, 9242, 9257, 304, 1417, 83334, 323, 84495, 483, 527, 16595, 369, 8244, 2890, 13, 445, 1065, 483, 11, 1101, 2663, 445, 12, 61492, 483, 374, 459, 42500, 13935, 430, 8779, 279, 9522, 3923, 8886, 279, 24460, 315, 800, 1132, 304, 18317, 59190, 5380, 4599, 264, 6136, 21879, 26613, 40120, 323, 3090, 323, 5097, 304, 12782, 40589, 11, 37833, 92335, 82, 304, 279, 6136, 596, 7917, 5625, 279, 14085, 1821, 320, 13284, 9522, 35, 59426, 28232, 25737, 612, 35343, 8444, 94697, 198, 35, 59426, 28232, 25737, 612, 35343, 8444, 94697, 13, 8444, 94697, 320, 34, 21, 39, 717, 46, 21, 8, 374, 459, 3062, 43030, 304, 34458, 13, 578, 4848, 12782, 33299, 11, 220, 717, 35784, 33299, 323, 9522, 10445, 12838, 264, 14285, 14998, 79183, 66, 11968, 5380, 38, 398, 66, 11968, 374, 279, 2547, 596, 9967, 4907, 11, 449, 279, 8706, 5942, 2816, 304, 279, 26587, 323, 279, 8335, 304, 279, 24569, 13, 1789, 4725, 9522, 3923, 2209, 279, 56180, 28232, 800, 1132, 612, 84867, 1590, 5380, 626, 1132, 288, 323, 70913, 527, 2225, 62345, 430, 1514, 264, 16996, 3560, 304, 8405, 4907, 311, 11012, 323, 4907, 323, 26677, 311, 1690, 9522, 35502, 1385, 28232, 435, 68998, 612, 43800, 4893, 198, 37, 68998, 323, 24822, 527, 35526, 3871, 779, 14134, 11, 433, 2643, 2873, 439, 422, 814, 527, 279, 1890, 5699, 315, 3691, 13, 64377, 596, 10685, 9522, 35, 59426, 28232, 9170, 84867, 1590, 612, 800, 1132, 288, 198, 35, 59426, 28232, 9170, 84867, 1590, 612, 800, 1132, 288, 13, 68990, 25888, 13, 2939, 87873, 13, 423, 428, 25888, 13, 30631, 4590, 337, 13, 56124, 1521, 3673, 389, 264, 2027, 596, 26677, 1160, 374, 3403, 311, 1304, 9522, 9241, 2209, 800, 1132, 94885, 304, 18317, 59190, 5380, 8538, 11012, 11, 1778, 439, 35267, 323, 1023, 15286, 388, 11, 323, 26390, 1093, 279, 44196, 323, 16385, 36698, 11, 3637, 70181, 369, 3010, 1005, 13, 1115, 70181, 9522, 10445, 279, 54389, 290, 315, 800, 1132, 612, 8444, 94697, 2209, 95633, 198, 8140, 2547, 18808, 1523, 6485, 3691, 35715, 1139, 9333, 323, 35388, 35715, 779, 814, 649, 6847, 387, 42101, 1139, 1057, 1887, 13, 578, 1131, 128001 ]
[ -100, 94893, 374, 264, 6366, 13901, 430, 13912, 22706, 389, 279, 1948, 13, 220, 763, 374, 24705, 584, 617, 264, 289, 462, 15010, 6037, 369, 1475, 45607, 315, 2324, 627, 4516, 11, 304, 264, 94013, 11, 3485, 505, 1694, 279, 1888, 13901, 315, 9096, 11, 374, 24705, 374, 1101, 264, 8641, 2239, 369, 5496, 279, 4832, 2324, 13, 3861, 45607, 477, 2449, 315, 2324, 374, 279, 5133, 1990, 264, 10177, 323, 7555, 13, 5810, 2288, 374, 24705, 706, 2867, 4018, 5718, 369, 6929, 11, 279, 5718, 902, 527, 8967, 311, 7916, 279, 3021, 323, 66264, 1990, 279, 5743, 13, 13266, 889, 1833, 279, 5718, 617, 264, 1633, 32487, 12502, 2324, 1524, 1306, 220, 508, 1667, 315, 11103, 13, 578, 15541, 8625, 13989, 323, 2574, 3719, 39345, 627, 14364, 8903, 315, 3823, 12135, 2737, 47451, 374, 430, 814, 656, 3663, 78518, 3115, 13, 763, 1162, 430, 374, 12765, 449, 499, 1243, 559, 10649, 15177, 36937, 374, 1070, 311, 1520, 499, 3619, 701, 308, 7717, 532, 4819, 323, 3493, 264, 11175, 311, 1124, 13, 763, 1162, 2574, 1541, 1431, 2103, 21057, 1664, 369, 499, 7752, 323, 25768, 374, 279, 1193, 1648, 704, 1243, 36937, 559, 10649, 15177, 25549, 374, 279, 1648, 8469, 627, 12792, 16716, 477, 259, 6181, 587, 374, 264, 6485, 1920, 304, 374, 24705, 323, 433, 374, 539, 779, 5804, 483, 519, 439, 584, 1518, 304, 279, 9698, 13, 1102, 374, 539, 1093, 264, 10177, 2795, 24657, 259, 6181, 80, 323, 25549, 690, 3621, 13, 2684, 374, 264, 6300, 1648, 369, 433, 323, 420, 10537, 649, 1193, 387, 13375, 1234, 279, 19351, 315, 36937, 559, 10649, 15177, 11, 3984, 499, 3974, 304, 1202, 29101, 627, 94893, 3604, 1587, 539, 1862, 25549, 11, 439, 264, 13901, 25549, 374, 279, 1566, 22541, 323, 1070, 527, 5718, 323, 14640, 430, 26549, 2633, 279, 4553, 1920, 13, 1666, 584, 9932, 1603, 433, 374, 539, 1093, 279, 1648, 814, 43504, 433, 304, 9698, 627, 2746, 264, 5743, 374, 951, 404, 788, 315, 259, 6181, 80, 11, 1243, 1306, 279, 1176, 259, 6181, 80, 374, 8791, 83, 1171, 11, 814, 527, 10171, 311, 4667, 449, 559, 10649, 15177, 13, 5810, 279, 6335, 83031, 4079, 24958, 323, 31839, 690, 9020, 311, 279, 5743, 323, 3619, 1148, 374, 279, 6149, 5353, 315, 279, 259, 1892, 273, 13, 18156, 433, 374, 6996, 315, 5912, 7106, 66264, 430, 374, 279, 5353, 11, 7170, 1070, 527, 1023, 5540, 13, 35053, 11, 8996, 2643, 387, 279, 1162, 11, 279, 15177, 6835, 42853, 10708, 323, 1520, 311, 279, 5743, 311, 64508, 872, 12062, 323, 3719, 832, 1578, 627, 11458, 1524, 1306, 279, 1888, 9045, 279, 5743, 4250, 387, 389, 279, 1890, 2199, 449, 872, 11103, 1243, 264, 25549, 374, 64702, 4147, 323, 279, 5743, 374, 33142, 922, 279, 1648, 8469, 13, 2435, 527, 3309, 922, 279, 10537, 304, 1162, 814, 1390, 311, 387, 3871, 1306, 36113, 627, 94893, 374, 264, 13901, 315, 9096, 323, 3021, 11, 584, 617, 1057, 6366, 5627, 311, 3974, 2324, 323, 1935, 2512, 315, 904, 4819, 13, 3234, 4667, 449, 603, 311, 1440, 810, 922, 279, 3600, 430, 527, 9076, 520, 36937, 559, 10649, 15177, 13, 362, 26733, 2324, 71904, 499, 13, 128001, -100, 33, 13, 8899, 20, 13, 1472, 3350, 3060, 489, 477, 482, 12195, 1990, 279, 5219, 304, 279, 8668, 220, 16, 26, 220, 17, 26, 220, 18, 26, 220, 19, 26, 220, 20, 26, 4696, 779, 430, 499, 1053, 636, 220, 679, 23, 439, 264, 1121, 439, 5246, 439, 3284, 13, 3639, 374, 279, 15821, 3284, 1396, 304, 279, 8668, 584, 617, 311, 733, 709, 311, 5380, 33, 13, 8899, 21, 13, 2684, 527, 220, 806, 7724, 323, 220, 845, 13305, 304, 264, 538, 13, 11205, 7033, 11326, 6835, 1124, 220, 508, 5435, 13, 9062, 3575, 374, 2728, 311, 3060, 264, 8334, 11, 477, 264, 3828, 11, 477, 264, 8334, 63970, 5743, 13, 9062, 3575, 374, 2728, 704, 1193, 3131, 11, 323, 1855, 5575, 706, 311, 990, 389, 1193, 832, 3575, 13, 2650, 1690, 13305, 323, 1268, 1690, 7724, 5371, 264, 3575, 389, 872, 1866, 5380, 33, 13, 8899, 22, 13, 2650, 1690, 220, 17, 49442, 6928, 4459, 5219, 527, 6273, 311, 279, 9518, 315, 279, 2694, 315, 872, 19016, 5380, 33, 13, 8899, 23, 13, 1226, 1053, 1093, 311, 4018, 709, 264, 52524, 7363, 315, 19692, 1139, 52524, 9863, 13, 5629, 584, 1304, 264, 2478, 15455, 15638, 311, 1403, 14329, 11314, 315, 279, 7363, 11, 1243, 584, 1304, 264, 2478, 15455, 77933, 311, 1521, 13, 1226, 1903, 264, 2860, 315, 220, 1032, 15455, 13, 16910, 279, 1396, 315, 9863, 387, 512, 33, 13, 8899, 24, 13, 12362, 4330, 20086, 19016, 11, 75075, 11, 323, 264, 2478, 37072, 7677, 11, 1893, 279, 1396, 220, 966, 304, 439, 1690, 2204, 5627, 439, 3284, 627, 33, 13, 9079, 15, 13, 763, 279, 2768, 5219, 25, 220, 16, 7561, 11, 220, 17, 7561, 11, 220, 18, 7561, 11, 4696, 11, 220, 679, 23, 7561, 11, 1148, 1288, 584, 28779, 369, 1054, 64, 863, 422, 279, 2694, 315, 1521, 5219, 374, 220, 11123, 4331, 5380, 33, 13, 9079, 16, 13, 4427, 9518, 5219, 7293, 32440, 1524, 422, 499, 3350, 459, 5066, 16099, 220, 16, 520, 279, 842, 315, 279, 1396, 13, 7531, 279, 25655, 1778, 6928, 9518, 1396, 627, 33, 13, 9079, 17, 13, 9842, 1523, 279, 6928, 220, 17, 49442, 5219, 304, 459, 7859, 2015, 555, 1701, 6437, 11, 2579, 11, 323, 6307, 5869, 304, 420, 2015, 35611, 369, 279, 19016, 13, 3639, 374, 279, 1933, 315, 279, 1566, 16099, 220, 22, 499, 617, 311, 3350, 1523, 5380, 5618, 3708, 701, 10105, 1618, 627, 791, 61115, 29549, 6181, 46945, 17236, 374, 85441, 279, 20852, 315, 4236, 505, 6890, 13, 2100, 11, 422, 499, 527, 264, 5575, 5496, 304, 6890, 11, 4587, 11, 3708, 701, 10105, 311, 25, 5856, 426, 505, 6890, 198, 3792, 311, 7043, 45793, 96097, 7327, 4242, 26323, 128001, -100, 2675, 1071, 279, 2132, 4376, 315, 433, 13, 358, 75826, 433, 1139, 832, 11, 4228, 4791, 72207, 2752, 11914, 13, 12522, 499, 25565, 889, 584, 2351, 14892, 449, 1618, 30, 2360, 17193, 627, 2940, 1550, 499, 636, 430, 6945, 315, 26044, 31042, 5380, 12174, 856, 342, 9451, 430, 574, 779, 15526, 0, 8840, 3868, 11, 2646, 4059, 627, 40, 1440, 11, 430, 574, 41367, 11, 5828, 956, 433, 13, 220, 22591, 22770, 11, 1314, 1070, 13, 220, 38891, 1268, 15526, 568, 4265, 387, 422, 358, 5828, 956, 779, 6555, 311, 1461, 627, 2675, 649, 956, 387, 6555, 311, 1063, 1274, 8054, 78928, 708, 889, 374, 11493, 24931, 1243, 5380, 60916, 374, 11, 3930, 71, 1578, 627, 40, 1097, 6555, 311, 682, 13, 1442, 1274, 1390, 311, 387, 21706, 2857, 311, 757, 11, 779, 387, 433, 13, 358, 1097, 279, 2731, 1732, 13, 11452, 5762, 1579, 627, 128001, -100, 4599, 499, 1781, 315, 70181, 11, 499, 4762, 1781, 1176, 315, 3691, 11, 323, 1070, 596, 264, 1695, 2944, 3249, 13, 9176, 315, 701, 1455, 3062, 6136, 15657, 11, 1093, 14095, 323, 35267, 11, 527, 9257, 304, 70181, 13, 763, 2144, 11, 70181, 374, 9124, 555, 682, 6307, 11012, 11, 8051, 1063, 315, 1124, 527, 59774, 449, 433, 1109, 3885, 13, 47966, 1093, 499, 11, 555, 13168, 11, 8356, 72157, 11968, 4619, 627, 21279, 70181, 323, 72157, 11968, 8854, 439, 4907, 5942, 13, 578, 6136, 19159, 70181, 505, 34323, 311, 3493, 264, 8312, 369, 3010, 1005, 13, 74089, 11, 20282, 323, 15286, 388, 8965, 6782, 10283, 315, 5066, 70181, 311, 5510, 279, 10533, 2785, 477, 6136, 430, 690, 8314, 412, 505, 1124, 2391, 1202, 4216, 6650, 13, 50487, 11, 994, 701, 3691, 374, 4170, 10185, 11, 701, 26587, 10756, 1063, 315, 279, 34323, 505, 701, 15496, 439, 72157, 11968, 369, 3010, 57470, 13, 4718, 16124, 49774, 1101, 2567, 1063, 72157, 11968, 26222, 439, 1664, 627, 21279, 70181, 288, 323, 72157, 11968, 527, 46033, 388, 14454, 505, 13465, 35715, 2663, 34323, 13, 9062, 9678, 43030, 315, 34323, 706, 279, 15150, 356, 21, 39, 717, 46, 11, 323, 18667, 1521, 1207, 26726, 3871, 304, 264, 3738, 1648, 7739, 279, 1317, 27271, 430, 1304, 709, 72157, 11968, 323, 70181, 13, 2684, 527, 1403, 4595, 315, 70181, 25, 64383, 1497, 323, 64383, 385, 1002, 258, 13, 5046, 1521, 1403, 11, 72157, 11968, 374, 810, 4528, 311, 64383, 385, 1002, 258, 11, 2533, 279, 13465, 27271, 304, 72157, 11968, 323, 64383, 385, 1002, 258, 527, 7701, 53358, 2454, 11, 1418, 64383, 1497, 374, 26549, 13790, 627, 32641, 94697, 649, 3073, 304, 5361, 7739, 2663, 374, 69638, 13, 763, 1855, 315, 1521, 11, 279, 31206, 15150, 374, 279, 1890, 11, 719, 279, 1648, 279, 33299, 527, 28902, 374, 2204, 13, 800, 1132, 323, 72157, 11968, 527, 2225, 14454, 505, 8451, 34323, 11, 459, 374, 26429, 304, 902, 264, 17055, 4223, 477, 482, 47861, 1912, 389, 279, 1176, 315, 279, 4848, 35872, 2439, 374, 389, 279, 14329, 3185, 315, 279, 10264, 505, 12782, 220, 21, 13, 13596, 1648, 311, 2019, 420, 374, 430, 12782, 220, 21, 323, 279, 17055, 4223, 1912, 527, 1380, 311, 1855, 1023, 304, 279, 8451, 34323, 374, 26429, 627, 7927, 60071, 1887, 649, 1464, 709, 2225, 70181, 323, 72157, 11968, 11, 779, 814, 1304, 1695, 8336, 315, 4907, 13, 2435, 527, 2225, 1633, 2204, 304, 420, 5363, 505, 70002, 974, 13, 9086, 70181, 323, 72157, 11968, 11, 70002, 974, 374, 264, 34323, 47393, 11, 719, 20426, 70181, 323, 72157, 11968, 11, 433, 5727, 1193, 13746, 34323, 35715, 13, 53123, 11, 1855, 34323, 43030, 374, 330, 1517, 6586, 1, 449, 5201, 311, 1202, 9760, 11, 6968, 264, 1317, 323, 7701, 33956, 8957, 13, 6104, 701, 60071, 1887, 649, 1464, 1523, 72157, 11968, 323, 70181, 11, 1243, 11, 433, 649, 956, 656, 1790, 449, 70002, 974, 11, 902, 16609, 439, 24722, 1555, 701, 60071, 1887, 627, 12, 11064, 16666, 50789, 3726, 14, 54737, 18556, 21560, 12041, 198, 791, 22196, 1385, 612, 86897, 315, 800, 1132, 612, 79183, 66, 11968, 198, 15000, 1065, 582, 1799, 3422, 11, 1778, 439, 70181, 323, 72157, 11968, 11, 527, 6485, 27271, 315, 62345, 24306, 315, 1647, 437, 582, 1799, 579, 8316, 11, 1778, 439, 34323, 13, 50298, 323, 10099, 3637, 9522, 37, 9242, 8269, 304, 7793, 83334, 612, 445, 1065, 483, 198, 37, 9242, 9257, 304, 1417, 83334, 323, 84495, 483, 527, 16595, 369, 8244, 2890, 13, 445, 1065, 483, 11, 1101, 2663, 445, 12, 61492, 483, 374, 459, 42500, 13935, 430, 8779, 279, 9522, 3923, 8886, 279, 24460, 315, 800, 1132, 304, 18317, 59190, 5380, 4599, 264, 6136, 21879, 26613, 40120, 323, 3090, 323, 5097, 304, 12782, 40589, 11, 37833, 92335, 82, 304, 279, 6136, 596, 7917, 5625, 279, 14085, 1821, 320, 13284, 9522, 35, 59426, 28232, 25737, 612, 35343, 8444, 94697, 198, 35, 59426, 28232, 25737, 612, 35343, 8444, 94697, 13, 8444, 94697, 320, 34, 21, 39, 717, 46, 21, 8, 374, 459, 3062, 43030, 304, 34458, 13, 578, 4848, 12782, 33299, 11, 220, 717, 35784, 33299, 323, 9522, 10445, 12838, 264, 14285, 14998, 79183, 66, 11968, 5380, 38, 398, 66, 11968, 374, 279, 2547, 596, 9967, 4907, 11, 449, 279, 8706, 5942, 2816, 304, 279, 26587, 323, 279, 8335, 304, 279, 24569, 13, 1789, 4725, 9522, 3923, 2209, 279, 56180, 28232, 800, 1132, 612, 84867, 1590, 5380, 626, 1132, 288, 323, 70913, 527, 2225, 62345, 430, 1514, 264, 16996, 3560, 304, 8405, 4907, 311, 11012, 323, 4907, 323, 26677, 311, 1690, 9522, 35502, 1385, 28232, 435, 68998, 612, 43800, 4893, 198, 37, 68998, 323, 24822, 527, 35526, 3871, 779, 14134, 11, 433, 2643, 2873, 439, 422, 814, 527, 279, 1890, 5699, 315, 3691, 13, 64377, 596, 10685, 9522, 35, 59426, 28232, 9170, 84867, 1590, 612, 800, 1132, 288, 198, 35, 59426, 28232, 9170, 84867, 1590, 612, 800, 1132, 288, 13, 68990, 25888, 13, 2939, 87873, 13, 423, 428, 25888, 13, 30631, 4590, 337, 13, 56124, 1521, 3673, 389, 264, 2027, 596, 26677, 1160, 374, 3403, 311, 1304, 9522, 9241, 2209, 800, 1132, 94885, 304, 18317, 59190, 5380, 8538, 11012, 11, 1778, 439, 35267, 323, 1023, 15286, 388, 11, 323, 26390, 1093, 279, 44196, 323, 16385, 36698, 11, 3637, 70181, 369, 3010, 1005, 13, 1115, 70181, 9522, 10445, 279, 54389, 290, 315, 800, 1132, 612, 8444, 94697, 2209, 95633, 198, 8140, 2547, 18808, 1523, 6485, 3691, 35715, 1139, 9333, 323, 35388, 35715, 779, 814, 649, 6847, 387, 42101, 1139, 1057, 1887, 13, 578, 1131, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917 ]
[ 128000, 1757, 470, 62519, 70712, 3045, 401, 475, 470, 62519, 15296, 4120, 1246, 265, 1430, 6600, 4080, 280, 475, 470, 62519, 15296, 4120, 1246, 265, 1430, 52422, 1999, 280, 475, 6533, 70712, 39816, 280, 475, 17132, 61156, 21173, 19, 73, 72114, 19, 73, 280, 475, 4272, 22247, 71, 75273, 47221, 70712, 6718, 1246, 30514, 3032, 280, 475, 1262, 4118, 17407, 14181, 401, 32976, 198, 898, 538, 2895, 4080, 3032, 1898, 1504, 262, 571, 6600, 4080, 3032, 446, 2497, 25313, 4080, 27396, 1158, 262, 879, 13740, 3622, 9826, 401, 262, 935, 53458, 2292, 836, 8, 341, 286, 13842, 1430, 6600, 4080, 1246, 265, 1430, 49366, 34938, 13947, 28, 13842, 1430, 6600, 4080, 4721, 49366, 34938, 22136, 9826, 317, 286, 13842, 1430, 52422, 1999, 3924, 4896, 21509, 2077, 284, 13947, 58039, 9906, 6838, 265, 1430, 52422, 1999, 3924, 4896, 1939, 67715, 1020, 41830, 3232, 570, 5957, 1449, 286, 471, 2077, 13012, 18218, 262, 457, 633, 128001, 128000, 13521, 485, 263, 33680, 20274, 21060, 578, 49344, 5380, 791, 30071, 9322, 323, 1510, 9599, 369, 4593, 485, 263, 4892, 574, 279, 1176, 311, 6013, 11, 2109, 6852, 520, 220, 1419, 25, 3226, 389, 7418, 3814, 11, 13489, 220, 19, 4207, 1306, 856, 2926, 2613, 574, 3288, 13, 14727, 49053, 627, 2028, 374, 459, 3158, 358, 1097, 8104, 8173, 304, 11, 2225, 439, 4972, 311, 279, 3331, 26838, 358, 574, 264, 87415, 9877, 12667, 304, 279, 11162, 4931, 9476, 11, 323, 4972, 311, 1694, 279, 9599, 369, 4892, 4593, 485, 263, 358, 7543, 220, 19, 1667, 439, 279, 30982, 12308, 369, 91499, 11, 21023, 323, 57857, 389, 4593, 485, 263, 85303, 9251, 627, 40, 9093, 6197, 279, 2447, 2128, 430, 12886, 279, 10292, 11230, 7083, 605, 76, 10913, 11896, 13, 358, 9087, 9966, 279, 5217, 11006, 369, 27597, 1428, 24925, 430, 9087, 12207, 7916, 20792, 5219, 323, 8070, 11, 41577, 279, 68507, 315, 420, 14964, 12764, 13, 358, 7396, 279, 56756, 16409, 315, 279, 17979, 14821, 304, 10846, 14298, 323, 24100, 76852, 27315, 11, 2225, 37278, 358, 617, 1511, 264, 2763, 439, 264, 6130, 13, 358, 1101, 7396, 279, 7083, 20, 76, 9341, 304, 16333, 8747, 569, 5657, 11, 323, 358, 1097, 18949, 311, 1518, 430, 4593, 485, 263, 85303, 9251, 374, 1457, 3318, 7119, 264, 502, 5277, 19853, 13, 358, 1097, 27989, 311, 1518, 2949, 264, 502, 5277, 19853, 430, 584, 1053, 617, 3634, 369, 2254, 13820, 311, 2225, 990, 323, 3113, 872, 990, 11, 16662, 1057, 1510, 4526, 323, 48551, 15661, 627, 40, 32069, 279, 7083, 1135, 76, 9341, 369, 279, 88391, 11, 902, 24797, 15871, 41308, 11, 1053, 2997, 264, 220, 20, 11, 931, 611, 220, 605, 11, 931, 10954, 21497, 22150, 11, 264, 10788, 7916, 369, 4593, 485, 263, 627, 1687, 617, 6051, 3970, 279, 9954, 315, 279, 7083, 1758, 76, 3263, 306, 87921, 4500, 11, 10536, 19471, 287, 279, 1790, 4460, 14298, 14821, 60517, 627, 2028, 690, 1520, 3493, 4726, 10708, 311, 7417, 279, 21063, 315, 1057, 6424, 323, 369, 502, 13042, 323, 3814, 2442, 638, 8752, 26006, 611, 13077, 311, 2586, 4741, 627, 40, 617, 1027, 1633, 4642, 389, 420, 4360, 439, 701, 9599, 627, 5451, 398, 11, 2391, 420, 20302, 584, 617, 1903, 2771, 279, 13225, 1990, 603, 11, 323, 14932, 5789, 320, 648, 14910, 65598, 8, 706, 8036, 13, 358, 1053, 3136, 311, 4585, 389, 420, 627, 16041, 398, 11, 279, 10423, 54466, 61246, 21057, 12992, 11, 13696, 279, 64935, 1285, 9974, 220, 605, 4, 10, 38268, 584, 5602, 1234, 279, 1566, 18993, 10423, 627, 38075, 398, 11, 584, 617, 1027, 24944, 279, 7928, 9341, 1139, 1057, 96247, 2533, 44277, 3115, 627, 2520, 1057, 8681, 11104, 4802, 7228, 420, 9341, 374, 16996, 311, 7859, 8824, 11, 31638, 323, 4732, 315, 2532, 13, 1115, 374, 16595, 439, 279, 2532, 706, 1027, 2231, 1234, 24779, 26800, 555, 80043, 20700, 5708, 323, 264, 220, 1135, 4, 5376, 304, 24023, 5219, 304, 279, 1566, 220, 605, 1667, 7636, 13, 76104, 34575, 420, 9341, 690, 1101, 8108, 279, 45054, 7410, 389, 5542, 70318, 439, 584, 690, 1935, 9610, 315, 279, 7319, 8824, 323, 6617, 11, 11297, 20700, 5708, 627, 22386, 22, 13, 23, 11328, 374, 1694, 7543, 389, 43906, 2461, 315, 1057, 3600, 11, 2737, 14713, 1990, 220, 605, 12, 868, 4520, 1022, 279, 4593, 485, 263, 311, 7295, 23889, 783, 11879, 13, 578, 2579, 283, 9894, 315, 279, 4593, 485, 263, 1389, 67066, 901, 1584, 11, 10043, 709, 11900, 323, 4732, 369, 82821, 1990, 4593, 485, 263, 323, 921, 301, 2002, 5721, 11829, 3682, 18637, 323, 78588, 311, 17789, 2737, 279, 7083, 16, 11328, 14234, 315, 18242, 8216, 11, 10695, 5376, 8824, 323, 18054, 11176, 35291, 14895, 11829, 9889, 315, 502, 1614, 315, 279, 1989, 1841, 38132, 11, 46890, 1057, 80043, 20700, 5708, 627, 2028, 9341, 374, 16595, 539, 1120, 311, 82821, 477, 1938, 2463, 36623, 11, 719, 433, 1101, 8779, 6678, 2254, 7100, 6650, 11, 48513, 4593, 485, 263, 753, 2361, 439, 264, 2035, 369, 9873, 311, 70672, 323, 2793, 11, 8405, 279, 1828, 9659, 315, 7032, 13, 4593, 485, 263, 374, 1101, 6089, 84015, 505, 279, 24779, 502, 15009, 13073, 9076, 555, 8304, 24720, 311, 6920, 704, 420, 990, 11, 264, 1972, 7916, 369, 1057, 2254, 8752, 627, 40, 617, 2884, 264, 6908, 3392, 389, 420, 439, 701, 9599, 13, 32499, 311, 1694, 16689, 358, 10837, 856, 1866, 2626, 304, 4593, 485, 263, 369, 220, 605, 1667, 13, 320, 40, 6216, 433, 3131, 358, 574, 16689, 779, 358, 1436, 21742, 5357, 389, 856, 3560, 439, 459, 9599, 570, 358, 1097, 264, 15344, 8184, 45672, 369, 279, 30071, 8722, 11, 323, 2225, 304, 20302, 323, 4593, 485, 263, 358, 15870, 3449, 449, 9873, 11, 30282, 11, 13707, 323, 13607, 311, 1520, 12192, 4593, 485, 263, 13, 763, 279, 1566, 220, 20, 1667, 584, 617, 3970, 220, 20, 11, 12901, 502, 9873, 1212, 709, 304, 4593, 485, 263, 1389, 279, 26731, 6650, 4478, 304, 279, 4987, 61861, 11, 902, 706, 9087, 9966, 459, 5066, 220, 22, 11, 1041, 7032, 369, 2254, 11062, 13, 1226, 617, 3970, 264, 1396, 315, 3682, 9873, 70672, 311, 4593, 485, 263, 11, 477, 6484, 6305, 24050, 872, 7677, 13, 1226, 527, 1633, 1790, 264, 6424, 389, 279, 709, 323, 912, 19101, 706, 810, 11939, 323, 4907, 311, 12192, 1057, 6424, 13, 1472, 649, 1518, 389, 856, 3997, 25, 8604, 63310, 396, 316, 3817, 942, 916, 279, 16781, 990, 358, 617, 2884, 304, 420, 3158, 627, 40, 617, 6575, 1633, 2653, 311, 18824, 1057, 6424, 304, 279, 1566, 220, 20, 1667, 13, 358, 1097, 279, 1176, 4892, 4593, 485, 263, 9599, 311, 387, 264, 2254, 19504, 13, 358, 1097, 5603, 481, 11, 9621, 323, 42702, 13, 358, 574, 6051, 16626, 279, 220, 18, 6634, 1455, 11190, 9599, 304, 20302, 994, 14892, 449, 11062, 4865, 2504, 627, 5159, 13612, 5357, 706, 1027, 50698, 856, 22006, 439, 279, 9599, 323, 358, 617, 832, 315, 279, 8592, 16043, 323, 12365, 7576, 304, 20302, 11, 779, 358, 1097, 3339, 2771, 4593, 485, 263, 374, 1664, 15609, 627, 40, 617, 12673, 856, 3293, 6661, 311, 2254, 11062, 6376, 704, 279, 3485, 627, 2170, 264, 12637, 2254, 19504, 358, 1390, 311, 3136, 311, 18824, 1057, 6424, 11, 41577, 502, 9873, 11, 9341, 323, 13077, 13, 1226, 527, 1633, 1790, 264, 6424, 389, 279, 709, 323, 584, 1790, 311, 387, 12691, 315, 13, 1666, 279, 9599, 11, 856, 3560, 374, 311, 387, 459, 29115, 11, 264, 3831, 7899, 323, 358, 1097, 1633, 4642, 304, 35821, 16659, 11, 25907, 323, 4455, 311, 4546, 3871, 279, 1401, 1274, 611, 9873, 611, 29533, 311, 1304, 2771, 584, 3136, 311, 7417, 627, 40, 1097, 1633, 12691, 315, 279, 6928, 6811, 358, 617, 1903, 369, 4593, 485, 263, 323, 358, 1097, 279, 1193, 9322, 311, 617, 27528, 1862, 505, 1274, 1314, 4028, 279, 5054, 20326, 627, 25763, 3817, 942, 1550, 13118, 2997, 264, 3048, 315, 279, 6661, 1389, 902, 66847, 3892, 315, 279, 3585, 1903, 304, 813, 11503, 3485, 11, 719, 1101, 27463, 1063, 1023, 2038, 11, 21760, 14918, 389, 279, 7083, 1187, 76, 29091, 1139, 8853, 11, 264, 4726, 7083, 6860, 76, 430, 706, 1027, 29091, 1139, 2254, 14054, 11006, 323, 220, 605, 1925, 3585, 922, 279, 1510, 3109, 304, 4689, 627, 8238, 315, 682, 315, 420, 1148, 499, 690, 11, 358, 4805, 21137, 48919, 3156, 358, 1518, 279, 1023, 11503, 505, 279, 1023, 11426, 627, 11649, 2884, 369, 34685, 1124, 13, 358, 1505, 433, 682, 2288, 71810, 1306, 279, 14429, 1392, 315, 3293, 1667, 13, 358, 7070, 1093, 311, 636, 9463, 315, 1124, 682, 323, 1212, 1578, 320, 40, 4344, 1694, 28743, 1389, 433, 753, 810, 264, 22599, 315, 856, 1866, 51978, 4856, 1109, 279, 29948, 2136, 315, 279, 19287, 4390, 128001, 128000, 19085, 916, 11050, 8868, 26822, 198, 19085, 916, 11050, 8868, 26822, 198, 29923, 420, 2316, 612, 810, 30, 28369, 311, 14114, 83, 9374, 198, 7280, 12589, 198, 10714, 1115, 6017, 198, 12, 4324, 11084, 9624, 8522, 1701, 279, 1888, 11994, 916, 14645, 198, 12, 40224, 701, 9624, 3851, 6848, 311, 3157, 10819, 1701, 279, 17033, 11994, 916, 14054, 198, 12, 15166, 14656, 30308, 44912, 1501, 499, 1268, 311, 6288, 2274, 1972, 31184, 9624, 8522, 198, 15546, 1115, 6017, 2209, 1789, 198, 2746, 499, 617, 1063, 3217, 449, 279, 11994, 916, 5452, 323, 527, 3411, 311, 1935, 701, 7512, 311, 279, 1828, 2237, 11, 420, 374, 279, 2363, 369, 499, 627, 2620, 315, 36962, 198, 3923, 1472, 4946, 15281, 198, 7058, 644, 26855, 198, 2822, 832, 649, 26086, 279, 33638, 2410, 323, 58321, 315, 279, 11994, 916, 9624, 4500, 5452, 323, 1202, 10383, 2115, 11, 11994, 916, 11050, 8868, 26822, 690, 12391, 459, 64284, 5905, 994, 433, 4131, 311, 4857, 11994, 916, 9624, 8522, 13, 1115, 2363, 690, 3041, 499, 279, 6964, 499, 1205, 311, 2274, 11994, 916, 9624, 8522, 430, 690, 18454, 701, 6444, 627, 2620, 315, 36962, 198, 7280, 12589, 198, 57627, 369, 1472, 198, 128001 ]
[ -100, 1757, 470, 62519, 70712, 3045, 401, 475, 470, 62519, 15296, 4120, 1246, 265, 1430, 6600, 4080, 280, 475, 470, 62519, 15296, 4120, 1246, 265, 1430, 52422, 1999, 280, 475, 6533, 70712, 39816, 280, 475, 17132, 61156, 21173, 19, 73, 72114, 19, 73, 280, 475, 4272, 22247, 71, 75273, 47221, 70712, 6718, 1246, 30514, 3032, 280, 475, 1262, 4118, 17407, 14181, 401, 32976, 198, 898, 538, 2895, 4080, 3032, 1898, 1504, 262, 571, 6600, 4080, 3032, 446, 2497, 25313, 4080, 27396, 1158, 262, 879, 13740, 3622, 9826, 401, 262, 935, 53458, 2292, 836, 8, 341, 286, 13842, 1430, 6600, 4080, 1246, 265, 1430, 49366, 34938, 13947, 28, 13842, 1430, 6600, 4080, 4721, 49366, 34938, 22136, 9826, 317, 286, 13842, 1430, 52422, 1999, 3924, 4896, 21509, 2077, 284, 13947, 58039, 9906, 6838, 265, 1430, 52422, 1999, 3924, 4896, 1939, 67715, 1020, 41830, 3232, 570, 5957, 1449, 286, 471, 2077, 13012, 18218, 262, 457, 633, 128001, -100, 13521, 485, 263, 33680, 20274, 21060, 578, 49344, 5380, 791, 30071, 9322, 323, 1510, 9599, 369, 4593, 485, 263, 4892, 574, 279, 1176, 311, 6013, 11, 2109, 6852, 520, 220, 1419, 25, 3226, 389, 7418, 3814, 11, 13489, 220, 19, 4207, 1306, 856, 2926, 2613, 574, 3288, 13, 14727, 49053, 627, 2028, 374, 459, 3158, 358, 1097, 8104, 8173, 304, 11, 2225, 439, 4972, 311, 279, 3331, 26838, 358, 574, 264, 87415, 9877, 12667, 304, 279, 11162, 4931, 9476, 11, 323, 4972, 311, 1694, 279, 9599, 369, 4892, 4593, 485, 263, 358, 7543, 220, 19, 1667, 439, 279, 30982, 12308, 369, 91499, 11, 21023, 323, 57857, 389, 4593, 485, 263, 85303, 9251, 627, 40, 9093, 6197, 279, 2447, 2128, 430, 12886, 279, 10292, 11230, 7083, 605, 76, 10913, 11896, 13, 358, 9087, 9966, 279, 5217, 11006, 369, 27597, 1428, 24925, 430, 9087, 12207, 7916, 20792, 5219, 323, 8070, 11, 41577, 279, 68507, 315, 420, 14964, 12764, 13, 358, 7396, 279, 56756, 16409, 315, 279, 17979, 14821, 304, 10846, 14298, 323, 24100, 76852, 27315, 11, 2225, 37278, 358, 617, 1511, 264, 2763, 439, 264, 6130, 13, 358, 1101, 7396, 279, 7083, 20, 76, 9341, 304, 16333, 8747, 569, 5657, 11, 323, 358, 1097, 18949, 311, 1518, 430, 4593, 485, 263, 85303, 9251, 374, 1457, 3318, 7119, 264, 502, 5277, 19853, 13, 358, 1097, 27989, 311, 1518, 2949, 264, 502, 5277, 19853, 430, 584, 1053, 617, 3634, 369, 2254, 13820, 311, 2225, 990, 323, 3113, 872, 990, 11, 16662, 1057, 1510, 4526, 323, 48551, 15661, 627, 40, 32069, 279, 7083, 1135, 76, 9341, 369, 279, 88391, 11, 902, 24797, 15871, 41308, 11, 1053, 2997, 264, 220, 20, 11, 931, 611, 220, 605, 11, 931, 10954, 21497, 22150, 11, 264, 10788, 7916, 369, 4593, 485, 263, 627, 1687, 617, 6051, 3970, 279, 9954, 315, 279, 7083, 1758, 76, 3263, 306, 87921, 4500, 11, 10536, 19471, 287, 279, 1790, 4460, 14298, 14821, 60517, 627, 2028, 690, 1520, 3493, 4726, 10708, 311, 7417, 279, 21063, 315, 1057, 6424, 323, 369, 502, 13042, 323, 3814, 2442, 638, 8752, 26006, 611, 13077, 311, 2586, 4741, 627, 40, 617, 1027, 1633, 4642, 389, 420, 4360, 439, 701, 9599, 627, 5451, 398, 11, 2391, 420, 20302, 584, 617, 1903, 2771, 279, 13225, 1990, 603, 11, 323, 14932, 5789, 320, 648, 14910, 65598, 8, 706, 8036, 13, 358, 1053, 3136, 311, 4585, 389, 420, 627, 16041, 398, 11, 279, 10423, 54466, 61246, 21057, 12992, 11, 13696, 279, 64935, 1285, 9974, 220, 605, 4, 10, 38268, 584, 5602, 1234, 279, 1566, 18993, 10423, 627, 38075, 398, 11, 584, 617, 1027, 24944, 279, 7928, 9341, 1139, 1057, 96247, 2533, 44277, 3115, 627, 2520, 1057, 8681, 11104, 4802, 7228, 420, 9341, 374, 16996, 311, 7859, 8824, 11, 31638, 323, 4732, 315, 2532, 13, 1115, 374, 16595, 439, 279, 2532, 706, 1027, 2231, 1234, 24779, 26800, 555, 80043, 20700, 5708, 323, 264, 220, 1135, 4, 5376, 304, 24023, 5219, 304, 279, 1566, 220, 605, 1667, 7636, 13, 76104, 34575, 420, 9341, 690, 1101, 8108, 279, 45054, 7410, 389, 5542, 70318, 439, 584, 690, 1935, 9610, 315, 279, 7319, 8824, 323, 6617, 11, 11297, 20700, 5708, 627, 22386, 22, 13, 23, 11328, 374, 1694, 7543, 389, 43906, 2461, 315, 1057, 3600, 11, 2737, 14713, 1990, 220, 605, 12, 868, 4520, 1022, 279, 4593, 485, 263, 311, 7295, 23889, 783, 11879, 13, 578, 2579, 283, 9894, 315, 279, 4593, 485, 263, 1389, 67066, 901, 1584, 11, 10043, 709, 11900, 323, 4732, 369, 82821, 1990, 4593, 485, 263, 323, 921, 301, 2002, 5721, 11829, 3682, 18637, 323, 78588, 311, 17789, 2737, 279, 7083, 16, 11328, 14234, 315, 18242, 8216, 11, 10695, 5376, 8824, 323, 18054, 11176, 35291, 14895, 11829, 9889, 315, 502, 1614, 315, 279, 1989, 1841, 38132, 11, 46890, 1057, 80043, 20700, 5708, 627, 2028, 9341, 374, 16595, 539, 1120, 311, 82821, 477, 1938, 2463, 36623, 11, 719, 433, 1101, 8779, 6678, 2254, 7100, 6650, 11, 48513, 4593, 485, 263, 753, 2361, 439, 264, 2035, 369, 9873, 311, 70672, 323, 2793, 11, 8405, 279, 1828, 9659, 315, 7032, 13, 4593, 485, 263, 374, 1101, 6089, 84015, 505, 279, 24779, 502, 15009, 13073, 9076, 555, 8304, 24720, 311, 6920, 704, 420, 990, 11, 264, 1972, 7916, 369, 1057, 2254, 8752, 627, 40, 617, 2884, 264, 6908, 3392, 389, 420, 439, 701, 9599, 13, 32499, 311, 1694, 16689, 358, 10837, 856, 1866, 2626, 304, 4593, 485, 263, 369, 220, 605, 1667, 13, 320, 40, 6216, 433, 3131, 358, 574, 16689, 779, 358, 1436, 21742, 5357, 389, 856, 3560, 439, 459, 9599, 570, 358, 1097, 264, 15344, 8184, 45672, 369, 279, 30071, 8722, 11, 323, 2225, 304, 20302, 323, 4593, 485, 263, 358, 15870, 3449, 449, 9873, 11, 30282, 11, 13707, 323, 13607, 311, 1520, 12192, 4593, 485, 263, 13, 763, 279, 1566, 220, 20, 1667, 584, 617, 3970, 220, 20, 11, 12901, 502, 9873, 1212, 709, 304, 4593, 485, 263, 1389, 279, 26731, 6650, 4478, 304, 279, 4987, 61861, 11, 902, 706, 9087, 9966, 459, 5066, 220, 22, 11, 1041, 7032, 369, 2254, 11062, 13, 1226, 617, 3970, 264, 1396, 315, 3682, 9873, 70672, 311, 4593, 485, 263, 11, 477, 6484, 6305, 24050, 872, 7677, 13, 1226, 527, 1633, 1790, 264, 6424, 389, 279, 709, 323, 912, 19101, 706, 810, 11939, 323, 4907, 311, 12192, 1057, 6424, 13, 1472, 649, 1518, 389, 856, 3997, 25, 8604, 63310, 396, 316, 3817, 942, 916, 279, 16781, 990, 358, 617, 2884, 304, 420, 3158, 627, 40, 617, 6575, 1633, 2653, 311, 18824, 1057, 6424, 304, 279, 1566, 220, 20, 1667, 13, 358, 1097, 279, 1176, 4892, 4593, 485, 263, 9599, 311, 387, 264, 2254, 19504, 13, 358, 1097, 5603, 481, 11, 9621, 323, 42702, 13, 358, 574, 6051, 16626, 279, 220, 18, 6634, 1455, 11190, 9599, 304, 20302, 994, 14892, 449, 11062, 4865, 2504, 627, 5159, 13612, 5357, 706, 1027, 50698, 856, 22006, 439, 279, 9599, 323, 358, 617, 832, 315, 279, 8592, 16043, 323, 12365, 7576, 304, 20302, 11, 779, 358, 1097, 3339, 2771, 4593, 485, 263, 374, 1664, 15609, 627, 40, 617, 12673, 856, 3293, 6661, 311, 2254, 11062, 6376, 704, 279, 3485, 627, 2170, 264, 12637, 2254, 19504, 358, 1390, 311, 3136, 311, 18824, 1057, 6424, 11, 41577, 502, 9873, 11, 9341, 323, 13077, 13, 1226, 527, 1633, 1790, 264, 6424, 389, 279, 709, 323, 584, 1790, 311, 387, 12691, 315, 13, 1666, 279, 9599, 11, 856, 3560, 374, 311, 387, 459, 29115, 11, 264, 3831, 7899, 323, 358, 1097, 1633, 4642, 304, 35821, 16659, 11, 25907, 323, 4455, 311, 4546, 3871, 279, 1401, 1274, 611, 9873, 611, 29533, 311, 1304, 2771, 584, 3136, 311, 7417, 627, 40, 1097, 1633, 12691, 315, 279, 6928, 6811, 358, 617, 1903, 369, 4593, 485, 263, 323, 358, 1097, 279, 1193, 9322, 311, 617, 27528, 1862, 505, 1274, 1314, 4028, 279, 5054, 20326, 627, 25763, 3817, 942, 1550, 13118, 2997, 264, 3048, 315, 279, 6661, 1389, 902, 66847, 3892, 315, 279, 3585, 1903, 304, 813, 11503, 3485, 11, 719, 1101, 27463, 1063, 1023, 2038, 11, 21760, 14918, 389, 279, 7083, 1187, 76, 29091, 1139, 8853, 11, 264, 4726, 7083, 6860, 76, 430, 706, 1027, 29091, 1139, 2254, 14054, 11006, 323, 220, 605, 1925, 3585, 922, 279, 1510, 3109, 304, 4689, 627, 8238, 315, 682, 315, 420, 1148, 499, 690, 11, 358, 4805, 21137, 48919, 3156, 358, 1518, 279, 1023, 11503, 505, 279, 1023, 11426, 627, 11649, 2884, 369, 34685, 1124, 13, 358, 1505, 433, 682, 2288, 71810, 1306, 279, 14429, 1392, 315, 3293, 1667, 13, 358, 7070, 1093, 311, 636, 9463, 315, 1124, 682, 323, 1212, 1578, 320, 40, 4344, 1694, 28743, 1389, 433, 753, 810, 264, 22599, 315, 856, 1866, 51978, 4856, 1109, 279, 29948, 2136, 315, 279, 19287, 4390, 128001, -100, 19085, 916, 11050, 8868, 26822, 198, 19085, 916, 11050, 8868, 26822, 198, 29923, 420, 2316, 612, 810, 30, 28369, 311, 14114, 83, 9374, 198, 7280, 12589, 198, 10714, 1115, 6017, 198, 12, 4324, 11084, 9624, 8522, 1701, 279, 1888, 11994, 916, 14645, 198, 12, 40224, 701, 9624, 3851, 6848, 311, 3157, 10819, 1701, 279, 17033, 11994, 916, 14054, 198, 12, 15166, 14656, 30308, 44912, 1501, 499, 1268, 311, 6288, 2274, 1972, 31184, 9624, 8522, 198, 15546, 1115, 6017, 2209, 1789, 198, 2746, 499, 617, 1063, 3217, 449, 279, 11994, 916, 5452, 323, 527, 3411, 311, 1935, 701, 7512, 311, 279, 1828, 2237, 11, 420, 374, 279, 2363, 369, 499, 627, 2620, 315, 36962, 198, 3923, 1472, 4946, 15281, 198, 7058, 644, 26855, 198, 2822, 832, 649, 26086, 279, 33638, 2410, 323, 58321, 315, 279, 11994, 916, 9624, 4500, 5452, 323, 1202, 10383, 2115, 11, 11994, 916, 11050, 8868, 26822, 690, 12391, 459, 64284, 5905, 994, 433, 4131, 311, 4857, 11994, 916, 9624, 8522, 13, 1115, 2363, 690, 3041, 499, 279, 6964, 499, 1205, 311, 2274, 11994, 916, 9624, 8522, 430, 690, 18454, 701, 6444, 627, 2620, 315, 36962, 198, 7280, 12589, 198, 57627, 369, 1472, 198, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197 ]
[ 128000, 791, 18198, 690, 387, 30549, 704, 520, 9581, 1109, 422, 814, 1051, 17791, 311, 281, 4918, 1405, 814, 1436, 387, 94699, 2212, 555, 279, 17301, 11, 279, 19574, 1071, 627, 32, 72155, 12330, 649, 5944, 520, 709, 311, 220, 5067, 35061, 11, 1071, 25937, 11691, 18452, 2799, 288, 11, 72155, 2068, 6783, 520, 279, 5165, 23454, 5475, 627, 8538, 16867, 17089, 304, 279, 10163, 3158, 1051, 17345, 20727, 555, 264, 72155, 1566, 1060, 627, 791, 5488, 13, 220, 1682, 72155, 11, 3549, 555, 264, 26703, 12, 23, 13, 18, 38413, 11, 7577, 220, 1958, 1274, 304, 3778, 88120, 3235, 449, 279, 16779, 304, 88120, 323, 51491, 64, 13, 57116, 3010, 1071, 430, 12330, 574, 220, 2790, 7693, 320, 975, 20645, 8, 1579, 627, 791, 72155, 10163, 4219, 1071, 279, 17301, 8813, 279, 30100, 779, 6288, 11062, 1047, 1193, 922, 220, 605, 4520, 311, 6013, 311, 1202, 5225, 627, 16397, 279, 33318, 6790, 220, 1049, 19, 7904, 22302, 72155, 11, 1070, 574, 2697, 311, 912, 10163, 323, 1790, 22047, 922, 279, 63561, 17301, 13, 578, 72155, 56537, 10297, 4553, 35335, 10977, 279, 6693, 1306, 10280, 11, 13419, 220, 9870, 11, 931, 1274, 627, 644, 473, 18536, 11, 7510, 23125, 20262, 1022, 279, 1176, 2380, 10215, 1828, 311, 279, 11573, 13, 362, 2478, 1274, 15746, 279, 2103, 18435, 439, 264, 51119, 2064, 309, 1022, 279, 13962, 11, 719, 14708, 1051, 10213, 4384, 439, 72155, 87011, 4511, 1529, 1636, 13, 21523, 17789, 1047, 1317, 5238, 11, 1063, 220, 605, 9515, 5655, 627, 39, 72054, 25428, 13, 39162, 445, 2222, 14610, 264, 1614, 315, 13147, 13, 3005, 1071, 514, 782, 23707, 6978, 505, 279, 735, 6181, 455, 18826, 17516, 389, 33518, 564, 2192, 617, 1027, 7882, 311, 5190, 5015, 1603, 279, 17301, 11721, 627, 51213, 4987, 3778, 66579, 617, 1047, 25114, 6372, 4028, 279, 16867, 627, 32, 72155, 1306, 264, 26703, 12, 24, 13, 20, 88470, 430, 17948, 34100, 304, 220, 5162, 15, 11, 279, 7928, 38413, 3596, 12715, 11, 7577, 922, 220, 6860, 1274, 304, 6457, 11, 220, 5547, 304, 28621, 323, 220, 843, 304, 279, 26363, 13, 1102, 574, 922, 220, 18, 13, 18, 311, 220, 1032, 7693, 320, 606, 311, 3116, 20645, 8, 304, 2673, 11, 6457, 596, 40732, 5848, 16784, 1071, 627, 52566, 586, 60983, 35931, 42, 24116, 38413, 11909, 439, 5605, 279, 72155, 1053, 4461, 387, 22781, 315, 2960, 55336, 320, 258, 8696, 8, 1579, 994, 433, 25501, 279, 3224, 13, 362, 72155, 315, 220, 1591, 2960, 55336, 320, 806, 15271, 8, 574, 12715, 1306, 264, 26703, 12, 23, 13, 19, 38413, 3221, 34100, 304, 220, 1049, 16, 627, 1542, 2191, 16549, 435, 372, 7141, 24551, 2417, 84817, 11, 315, 6457, 596, 2057, 71, 16900, 3907, 11, 3309, 35931, 42, 430, 11062, 3221, 18435, 63263, 1288, 539, 79583, 279, 2410, 315, 264, 72155, 1524, 3582, 814, 1253, 387, 8066, 555, 934, 2094, 389, 279, 1023, 3185, 315, 279, 18435, 627, 25938, 374, 279, 13336, 430, 433, 1436, 5662, 6457, 2085, 13490, 1202, 8333, 1359, 568, 1071, 627, 4518, 810, 25, 1795, 1129, 2185, 516, 4922, 349, 916, 71516, 50225, 39281, 60114, 90009, 24167, 77, 14520, 14, 679, 15, 14, 2437, 14, 1544, 9809, 1697, 14520, 26195, 24626, 50, 2839, 920, 13778, 64325, 2203, 28, 16, 2, 953, 10616, 15, 70, 78775, 41, 81, 41, 45, 128001, 128000, 29356, 9268, 5938, 449, 43337, 8483, 612, 11050, 198, 27831, 279, 1176, 8518, 18200, 17843, 37608, 2410, 6136, 1253, 2103, 387, 3892, 11026, 3201, 11, 279, 37608, 3495, 5149, 374, 539, 520, 682, 1654, 283, 50185, 505, 8396, 13, 1050, 12092, 279, 5915, 315, 37608, 2410, 706, 2736, 6532, 17919, 1690, 6522, 48448, 14645, 311, 502, 13693, 13, 1952, 5370, 25975, 18699, 10105, 311, 279, 5435, 23926, 617, 1766, 8522, 4994, 279, 37608, 8106, 13, 40612, 3432, 11, 1070, 527, 1690, 12903, 65039, 315, 279, 37608, 18629, 627, 34160, 311, 872, 80184, 1579, 8798, 31405, 288, 11, 5370, 6956, 617, 311, 387, 65410, 22815, 304, 37608, 12933, 13, 5234, 8798, 31405, 6956, 39661, 389, 3230, 64186, 315, 12782, 24722, 470, 81239, 311, 24166, 1051, 1511, 369, 28015, 350, 461, 6433, 969, 596, 5801, 71916, 14155, 4671, 2058, 320, 51, 461, 6433, 969, 374, 7559, 520, 33160, 277, 1815, 11, 9822, 11, 389, 279, 2816, 12146, 369, 88916, 570, 1115, 5557, 706, 1027, 28520, 9435, 304, 3634, 8522, 13, 29838, 23085, 50047, 8040, 12782, 470, 81239, 369, 279, 1176, 7147, 21130, 369, 622, 1372, 26, 1521, 7384, 527, 1457, 1511, 304, 279, 45664, 323, 1206, 88449, 315, 76481, 323, 28788, 13, 25563, 61166, 8522, 617, 19543, 505, 279, 4500, 315, 1579, 2410, 67968, 376, 2439, 369, 279, 54558, 24494, 6067, 315, 5370, 37608, 12933, 13, 37407, 367, 315, 2307, 77752, 287, 37172, 369, 279, 24924, 2115, 71860, 706, 17033, 315, 1005, 369, 11499, 24924, 58081, 32758, 7766, 1511, 304, 24461, 13, 4314, 2478, 10507, 39039, 1463, 264, 27409, 4668, 315, 279, 7665, 43337, 47516, 25, 279, 6926, 9473, 315, 6677, 11, 2225, 4315, 3495, 8717, 323, 449, 5064, 627, 84152, 13016, 649, 198, 2071, 279, 2246, 389, 2736, 6484, 12903, 65039, 315, 279, 198, 55665, 5149, 304, 279, 1160, 315, 70752, 22755, 320, 4151, 198, 1, 42838, 65039, 505, 37608, 3495, 1, 510, 17698, 82624, 482, 13072, 10927, 128001, 128000, 1548, 374, 4762, 3815, 420, 779, 568, 649, 3802, 499, 439, 264, 18222, 389, 813, 1866, 3827, 471, 323, 636, 264, 11493, 21639, 13, 220, 1442, 358, 19635, 12722, 11, 1070, 374, 264, 32400, 389, 701, 1376, 430, 499, 1817, 994, 4423, 775, 706, 11922, 499, 439, 264, 18222, 389, 353, 50828, 9, 471, 13, 220, 1283, 374, 4762, 26559, 701, 471, 369, 499, 779, 430, 568, 649, 1817, 430, 3830, 382, 2675, 1288, 1505, 704, 1148, 374, 279, 5897, 7419, 315, 264, 18222, 323, 1518, 422, 499, 3449, 430, 13186, 382, 2675, 1288, 1101, 387, 13088, 520, 701, 18233, 369, 539, 1694, 18300, 449, 499, 922, 904, 315, 420, 13, 220, 3011, 596, 5128, 78558, 382, 2675, 1288, 1101, 1212, 11850, 701, 1866, 3827, 4780, 505, 1457, 389, 13, 220, 1442, 499, 1541, 956, 3619, 1268, 311, 5266, 704, 279, 7739, 11, 1005, 48275, 32449, 477, 1935, 1124, 311, 264, 3827, 18459, 2035, 477, 76021, 13, 220, 578, 220, 6849, 15, 98378, 374, 4228, 3403, 311, 7216, 704, 6261, 11, 719, 499, 649, 1193, 1005, 430, 1376, 422, 701, 6671, 374, 1633, 4382, 13, 220, 1789, 682, 1023, 7739, 358, 1053, 7079, 1120, 24009, 4423, 311, 656, 433, 13, 128001 ]
[ -100, 791, 18198, 690, 387, 30549, 704, 520, 9581, 1109, 422, 814, 1051, 17791, 311, 281, 4918, 1405, 814, 1436, 387, 94699, 2212, 555, 279, 17301, 11, 279, 19574, 1071, 627, 32, 72155, 12330, 649, 5944, 520, 709, 311, 220, 5067, 35061, 11, 1071, 25937, 11691, 18452, 2799, 288, 11, 72155, 2068, 6783, 520, 279, 5165, 23454, 5475, 627, 8538, 16867, 17089, 304, 279, 10163, 3158, 1051, 17345, 20727, 555, 264, 72155, 1566, 1060, 627, 791, 5488, 13, 220, 1682, 72155, 11, 3549, 555, 264, 26703, 12, 23, 13, 18, 38413, 11, 7577, 220, 1958, 1274, 304, 3778, 88120, 3235, 449, 279, 16779, 304, 88120, 323, 51491, 64, 13, 57116, 3010, 1071, 430, 12330, 574, 220, 2790, 7693, 320, 975, 20645, 8, 1579, 627, 791, 72155, 10163, 4219, 1071, 279, 17301, 8813, 279, 30100, 779, 6288, 11062, 1047, 1193, 922, 220, 605, 4520, 311, 6013, 311, 1202, 5225, 627, 16397, 279, 33318, 6790, 220, 1049, 19, 7904, 22302, 72155, 11, 1070, 574, 2697, 311, 912, 10163, 323, 1790, 22047, 922, 279, 63561, 17301, 13, 578, 72155, 56537, 10297, 4553, 35335, 10977, 279, 6693, 1306, 10280, 11, 13419, 220, 9870, 11, 931, 1274, 627, 644, 473, 18536, 11, 7510, 23125, 20262, 1022, 279, 1176, 2380, 10215, 1828, 311, 279, 11573, 13, 362, 2478, 1274, 15746, 279, 2103, 18435, 439, 264, 51119, 2064, 309, 1022, 279, 13962, 11, 719, 14708, 1051, 10213, 4384, 439, 72155, 87011, 4511, 1529, 1636, 13, 21523, 17789, 1047, 1317, 5238, 11, 1063, 220, 605, 9515, 5655, 627, 39, 72054, 25428, 13, 39162, 445, 2222, 14610, 264, 1614, 315, 13147, 13, 3005, 1071, 514, 782, 23707, 6978, 505, 279, 735, 6181, 455, 18826, 17516, 389, 33518, 564, 2192, 617, 1027, 7882, 311, 5190, 5015, 1603, 279, 17301, 11721, 627, 51213, 4987, 3778, 66579, 617, 1047, 25114, 6372, 4028, 279, 16867, 627, 32, 72155, 1306, 264, 26703, 12, 24, 13, 20, 88470, 430, 17948, 34100, 304, 220, 5162, 15, 11, 279, 7928, 38413, 3596, 12715, 11, 7577, 922, 220, 6860, 1274, 304, 6457, 11, 220, 5547, 304, 28621, 323, 220, 843, 304, 279, 26363, 13, 1102, 574, 922, 220, 18, 13, 18, 311, 220, 1032, 7693, 320, 606, 311, 3116, 20645, 8, 304, 2673, 11, 6457, 596, 40732, 5848, 16784, 1071, 627, 52566, 586, 60983, 35931, 42, 24116, 38413, 11909, 439, 5605, 279, 72155, 1053, 4461, 387, 22781, 315, 2960, 55336, 320, 258, 8696, 8, 1579, 994, 433, 25501, 279, 3224, 13, 362, 72155, 315, 220, 1591, 2960, 55336, 320, 806, 15271, 8, 574, 12715, 1306, 264, 26703, 12, 23, 13, 19, 38413, 3221, 34100, 304, 220, 1049, 16, 627, 1542, 2191, 16549, 435, 372, 7141, 24551, 2417, 84817, 11, 315, 6457, 596, 2057, 71, 16900, 3907, 11, 3309, 35931, 42, 430, 11062, 3221, 18435, 63263, 1288, 539, 79583, 279, 2410, 315, 264, 72155, 1524, 3582, 814, 1253, 387, 8066, 555, 934, 2094, 389, 279, 1023, 3185, 315, 279, 18435, 627, 25938, 374, 279, 13336, 430, 433, 1436, 5662, 6457, 2085, 13490, 1202, 8333, 1359, 568, 1071, 627, 4518, 810, 25, 1795, 1129, 2185, 516, 4922, 349, 916, 71516, 50225, 39281, 60114, 90009, 24167, 77, 14520, 14, 679, 15, 14, 2437, 14, 1544, 9809, 1697, 14520, 26195, 24626, 50, 2839, 920, 13778, 64325, 2203, 28, 16, 2, 953, 10616, 15, 70, 78775, 41, 81, 41, 45, 128001, -100, 29356, 9268, 5938, 449, 43337, 8483, 612, 11050, 198, 27831, 279, 1176, 8518, 18200, 17843, 37608, 2410, 6136, 1253, 2103, 387, 3892, 11026, 3201, 11, 279, 37608, 3495, 5149, 374, 539, 520, 682, 1654, 283, 50185, 505, 8396, 13, 1050, 12092, 279, 5915, 315, 37608, 2410, 706, 2736, 6532, 17919, 1690, 6522, 48448, 14645, 311, 502, 13693, 13, 1952, 5370, 25975, 18699, 10105, 311, 279, 5435, 23926, 617, 1766, 8522, 4994, 279, 37608, 8106, 13, 40612, 3432, 11, 1070, 527, 1690, 12903, 65039, 315, 279, 37608, 18629, 627, 34160, 311, 872, 80184, 1579, 8798, 31405, 288, 11, 5370, 6956, 617, 311, 387, 65410, 22815, 304, 37608, 12933, 13, 5234, 8798, 31405, 6956, 39661, 389, 3230, 64186, 315, 12782, 24722, 470, 81239, 311, 24166, 1051, 1511, 369, 28015, 350, 461, 6433, 969, 596, 5801, 71916, 14155, 4671, 2058, 320, 51, 461, 6433, 969, 374, 7559, 520, 33160, 277, 1815, 11, 9822, 11, 389, 279, 2816, 12146, 369, 88916, 570, 1115, 5557, 706, 1027, 28520, 9435, 304, 3634, 8522, 13, 29838, 23085, 50047, 8040, 12782, 470, 81239, 369, 279, 1176, 7147, 21130, 369, 622, 1372, 26, 1521, 7384, 527, 1457, 1511, 304, 279, 45664, 323, 1206, 88449, 315, 76481, 323, 28788, 13, 25563, 61166, 8522, 617, 19543, 505, 279, 4500, 315, 1579, 2410, 67968, 376, 2439, 369, 279, 54558, 24494, 6067, 315, 5370, 37608, 12933, 13, 37407, 367, 315, 2307, 77752, 287, 37172, 369, 279, 24924, 2115, 71860, 706, 17033, 315, 1005, 369, 11499, 24924, 58081, 32758, 7766, 1511, 304, 24461, 13, 4314, 2478, 10507, 39039, 1463, 264, 27409, 4668, 315, 279, 7665, 43337, 47516, 25, 279, 6926, 9473, 315, 6677, 11, 2225, 4315, 3495, 8717, 323, 449, 5064, 627, 84152, 13016, 649, 198, 2071, 279, 2246, 389, 2736, 6484, 12903, 65039, 315, 279, 198, 55665, 5149, 304, 279, 1160, 315, 70752, 22755, 320, 4151, 198, 1, 42838, 65039, 505, 37608, 3495, 1, 510, 17698, 82624, 482, 13072, 10927, 128001, -100, 1548, 374, 4762, 3815, 420, 779, 568, 649, 3802, 499, 439, 264, 18222, 389, 813, 1866, 3827, 471, 323, 636, 264, 11493, 21639, 13, 220, 1442, 358, 19635, 12722, 11, 1070, 374, 264, 32400, 389, 701, 1376, 430, 499, 1817, 994, 4423, 775, 706, 11922, 499, 439, 264, 18222, 389, 353, 50828, 9, 471, 13, 220, 1283, 374, 4762, 26559, 701, 471, 369, 499, 779, 430, 568, 649, 1817, 430, 3830, 382, 2675, 1288, 1505, 704, 1148, 374, 279, 5897, 7419, 315, 264, 18222, 323, 1518, 422, 499, 3449, 430, 13186, 382, 2675, 1288, 1101, 387, 13088, 520, 701, 18233, 369, 539, 1694, 18300, 449, 499, 922, 904, 315, 420, 13, 220, 3011, 596, 5128, 78558, 382, 2675, 1288, 1101, 1212, 11850, 701, 1866, 3827, 4780, 505, 1457, 389, 13, 220, 1442, 499, 1541, 956, 3619, 1268, 311, 5266, 704, 279, 7739, 11, 1005, 48275, 32449, 477, 1935, 1124, 311, 264, 3827, 18459, 2035, 477, 76021, 13, 220, 578, 220, 6849, 15, 98378, 374, 4228, 3403, 311, 7216, 704, 6261, 11, 719, 499, 649, 1193, 1005, 430, 1376, 422, 701, 6671, 374, 1633, 4382, 13, 220, 1789, 682, 1023, 7739, 358, 1053, 7079, 1120, 24009, 4423, 311, 656, 433, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201 ]
[ 128000, 9241, 706, 682, 279, 1695, 4731, 8208, 5380, 1729, 18434, 258, 627, 2125, 1495, 198, 9514, 1253, 387, 14792, 1268, 9439, 1387, 649, 24169, 264, 5609, 1022, 11, 323, 1304, 433, 990, 304, 264, 2477, 7829, 627, 36981, 3005, 2701, 276, 11, 358, 1047, 912, 4623, 13, 358, 1101, 1047, 264, 1427, 520, 420, 6492, 320, 31039, 389, 4731, 10334, 8, 323, 433, 5039, 1268, 4528, 279, 11936, 527, 13, 1442, 433, 574, 72547, 84998, 389, 24062, 1387, 753, 961, 11, 358, 7070, 387, 1633, 14792, 11, 1606, 358, 1781, 814, 656, 5128, 1664, 389, 872, 1866, 627, 1966, 279, 4360, 315, 44321, 10039, 30840, 3582, 11, 1070, 527, 264, 15860, 315, 11936, 430, 1005, 279, 4839, 1890, 44321, 10039, 30840, 13, 2030, 358, 8101, 279, 3779, 2144, 404, 374, 430, 279, 23819, 374, 4661, 7041, 279, 1890, 439, 1664, 13, 1102, 4805, 387, 7185, 311, 1518, 1268, 420, 11335, 704, 627, 37860, 279, 29924, 43325, 23035, 315, 15473, 86152, 527, 810, 20789, 1109, 584, 8767, 3463, 12, 13524, 430, 1070, 527, 264, 743, 1396, 315, 6913, 90113, 11, 55090, 11, 33824, 315, 8554, 323, 430, 7154, 682, 11936, 527, 3196, 389, 264, 3967, 436, 12748, 11, 477, 264, 8275, 23851, 315, 832, 12, 719, 315, 3388, 11, 502, 21108, 300, 527, 15320, 11352, 13, 358, 617, 1440, 4623, 1148, 279, 6811, 1990, 264, 502, 15473, 12748, 323, 264, 23851, 315, 459, 6484, 436, 12748, 374, 3309, 12, 18434, 11, 1053, 499, 387, 3025, 311, 2610, 701, 3450, 5380, 39, 13856, 8219, 321, 690, 387, 61833, 499, 22628, 813, 5117, 1772, 13, 551, 79, 198, 6788, 499, 1555, 27685, 1389, 358, 617, 264, 8954, 3816, 1283, 8023, 865, 7762, 25953, 2024, 7401, 430, 5992, 48174, 1790, 1093, 701, 5679, 4999, 4897, 6688, 757, 264, 2033, 1935, 994, 358, 5602, 279, 6945, 315, 18821, 627, 40, 7655, 449, 499, 922, 279, 4731, 2288, 13, 28584, 32495, 4731, 2533, 279, 2543, 315, 279, 9478, 374, 53661, 627, 61677, 329, 17156, 512, 791, 7434, 315, 436, 31757, 40625, 374, 4528, 311, 330, 90922, 1, 304, 11104, 10948, 13, 362, 436, 31757, 6885, 374, 264, 743, 315, 8554, 477, 18273, 4455, 13, 362, 6710, 430, 96264, 311, 420, 743, 315, 8554, 3262, 355, 950, 4455, 374, 1071, 311, 387, 304, 430, 436, 31757, 6885, 13, 358, 4344, 539, 2771, 3508, 1070, 374, 4751, 369, 264, 23851, 315, 264, 4040, 436, 31757, 6885, 13, 4452, 11, 1070, 374, 264, 1887, 430, 19170, 279, 5370, 436, 31757, 40625, 627, 31, 50, 17606, 73, 512, 39, 13856, 358, 4344, 16089, 4999, 31, 33, 347, 16684, 512, 36981, 11, 2678, 1917, 0, 22335, 11, 279, 6945, 315, 279, 5679, 304, 27685, 374, 856, 13219, 753, 5679, 40715, 13, 3005, 753, 264, 3816, 1283, 8023, 12278, 474, 25953, 10335, 7401, 6651, 2288, 0, 3005, 574, 13517, 856, 5679, 11, 719, 358, 6688, 1077, 311, 856, 13219, 994, 358, 27167, 311, 11340, 2380, 1667, 4227, 13, 358, 5602, 430, 6945, 315, 701, 5679, 323, 1364, 5992, 49723, 4528, 311, 856, 13219, 753, 0, 2650, 374, 1364, 449, 1023, 12875, 30, 1226, 2751, 11604, 505, 279, 10065, 23756, 320, 32158, 574, 23838, 8, 994, 1364, 574, 220, 17, 13, 3005, 16180, 311, 387, 2212, 1274, 11, 719, 1364, 753, 539, 1633, 11919, 2212, 1023, 12875, 26, 5097, 1077, 264, 1418, 311, 636, 1511, 311, 1124, 323, 1364, 374, 34490, 41690, 2288, 13, 2030, 369, 1063, 2944, 11, 1364, 16180, 19987, 4999, 39, 13856, 11, 22371, 0, 32495, 4731, 374, 17936, 1521, 2919, 26907, 4999, 18066, 54, 11, 36765, 571, 279, 6492, 315, 44842, 2915, 452, 3635, 13, 9930, 499, 369, 430, 1389, 358, 6924, 279, 2816, 13, 358, 4344, 2362, 3403, 311, 617, 34793, 311, 46899, 8590, 2740, 24872, 11, 994, 872, 4731, 574, 6883, 502, 13, 28584, 198, 43, 5047, 264, 2763, 315, 220, 1490, 82, 323, 220, 1954, 82, 4731, 0, 39285, 71, 311, 1510, 5526, 4731, 3582, 13, 25619, 8518, 11, 912, 19297, 13, 358, 4762, 1205, 311, 1505, 264, 1695, 10778, 9063, 8216, 311, 6865, 1695, 1510, 4731, 627, 39, 2596, 374, 264, 6651, 315, 1403, 12875, 38097, 311, 387, 19738, 323, 13697, 88, 449, 1023, 12875, 11, 1093, 856, 89943, 11, 779, 539, 15206, 13, 362, 2763, 14117, 389, 4216, 11704, 13, 31783, 574, 264, 15241, 505, 264, 23756, 11, 856, 432, 1751, 906, 28257, 9087, 330, 19223, 1, 1077, 323, 358, 1101, 617, 3116, 19987, 13, 3005, 706, 9687, 539, 311, 281, 5302, 1124, 2288, 1790, 11, 323, 6691, 291, 279, 13036, 291, 77757, 13, 358, 2751, 89943, 369, 459, 67741, 320, 18964, 10775, 8, 22199, 323, 1364, 374, 3815, 12738, 449, 430, 13, 2100, 1364, 753, 1047, 264, 2763, 315, 4216, 4967, 11, 902, 8779, 13, 358, 1650, 1077, 856, 330, 1964, 7113, 2024, 7401, 1210, 2582, 1120, 578, 15013, 3165, 15889, 14588, 627, 5549, 263, 1431, 636, 757, 3940, 389, 12875, 26, 358, 3350, 922, 1124, 369, 264, 5496, 29275, 31, 33, 347, 16684, 512, 24220, 11, 279, 6492, 374, 5128, 8056, 0, 358, 1047, 912, 4623, 1070, 574, 779, 1790, 8149, 311, 433, 13, 358, 2751, 1139, 27211, 46899, 3010, 304, 856, 9562, 1667, 320, 576, 574, 304, 279, 3389, 220, 1954, 753, 705, 779, 433, 574, 1690, 1667, 1306, 814, 3782, 704, 13, 358, 4344, 5128, 2771, 814, 5222, 1695, 8590, 2740, 24872, 0, 28584, 198, 40, 25720, 40715, 753, 13697, 1918, 3782, 505, 1077, 7762, 11151, 1892, 616, 4376, 11, 719, 358, 617, 1373, 430, 1283, 301, 388, 1101, 8541, 311, 387, 5128, 13697, 88, 13, 358, 25720, 430, 1077, 3766, 7980, 4762, 3287, 1431, 3674, 553, 1077, 1790, 449, 1023, 12875, 13, 358, 4070, 14000, 40715, 374, 5128, 62565, 26, 1364, 374, 264, 2697, 389, 279, 94878, 3185, 520, 279, 4545, 323, 14132, 433, 706, 311, 656, 449, 459, 1234, 3104, 54060, 11, 719, 430, 12775, 1431, 10717, 1077, 505, 1694, 4642, 477, 30102, 389, 311, 1579, 7634, 0, 3005, 16180, 1694, 62920, 2288, 627, 4516, 89943, 6691, 291, 264, 77757, 30, 46817, 430, 753, 12738, 0, 13596, 3488, 1389, 1587, 89943, 12491, 3090, 30, 40715, 1587, 13, 3005, 5900, 704, 315, 1077, 1648, 311, 1304, 2771, 1364, 753, 439, 3117, 3201, 505, 904, 3090, 439, 3284, 0, 358, 1541, 1431, 4059, 11011, 922, 12875, 0, 358, 3021, 1124, 63450, 0, 3234, 499, 3350, 6603, 477, 9908, 922, 1124, 30, 128001, 128000, 39212, 6690, 36478, 1120, 6004, 279, 7701, 30199, 220, 23, 339, 25992, 55518, 9983, 7972, 612, 8267, 50730, 19723, 627, 7816, 1109, 220, 22, 11, 931, 1841, 23455, 323, 2532, 6444, 3952, 961, 304, 420, 16781, 3495, 430, 5764, 220, 1041, 10, 828, 3585, 922, 1268, 13723, 5268, 264, 62296, 11, 902, 3477, 6732, 9087, 279, 1455, 11, 279, 12939, 315, 5195, 323, 5690, 11, 1268, 814, 2733, 922, 6369, 323, 14058, 389, 3674, 11, 323, 779, 1790, 810, 627, 128001 ]
[ -100, 9241, 706, 682, 279, 1695, 4731, 8208, 5380, 1729, 18434, 258, 627, 2125, 1495, 198, 9514, 1253, 387, 14792, 1268, 9439, 1387, 649, 24169, 264, 5609, 1022, 11, 323, 1304, 433, 990, 304, 264, 2477, 7829, 627, 36981, 3005, 2701, 276, 11, 358, 1047, 912, 4623, 13, 358, 1101, 1047, 264, 1427, 520, 420, 6492, 320, 31039, 389, 4731, 10334, 8, 323, 433, 5039, 1268, 4528, 279, 11936, 527, 13, 1442, 433, 574, 72547, 84998, 389, 24062, 1387, 753, 961, 11, 358, 7070, 387, 1633, 14792, 11, 1606, 358, 1781, 814, 656, 5128, 1664, 389, 872, 1866, 627, 1966, 279, 4360, 315, 44321, 10039, 30840, 3582, 11, 1070, 527, 264, 15860, 315, 11936, 430, 1005, 279, 4839, 1890, 44321, 10039, 30840, 13, 2030, 358, 8101, 279, 3779, 2144, 404, 374, 430, 279, 23819, 374, 4661, 7041, 279, 1890, 439, 1664, 13, 1102, 4805, 387, 7185, 311, 1518, 1268, 420, 11335, 704, 627, 37860, 279, 29924, 43325, 23035, 315, 15473, 86152, 527, 810, 20789, 1109, 584, 8767, 3463, 12, 13524, 430, 1070, 527, 264, 743, 1396, 315, 6913, 90113, 11, 55090, 11, 33824, 315, 8554, 323, 430, 7154, 682, 11936, 527, 3196, 389, 264, 3967, 436, 12748, 11, 477, 264, 8275, 23851, 315, 832, 12, 719, 315, 3388, 11, 502, 21108, 300, 527, 15320, 11352, 13, 358, 617, 1440, 4623, 1148, 279, 6811, 1990, 264, 502, 15473, 12748, 323, 264, 23851, 315, 459, 6484, 436, 12748, 374, 3309, 12, 18434, 11, 1053, 499, 387, 3025, 311, 2610, 701, 3450, 5380, 39, 13856, 8219, 321, 690, 387, 61833, 499, 22628, 813, 5117, 1772, 13, 551, 79, 198, 6788, 499, 1555, 27685, 1389, 358, 617, 264, 8954, 3816, 1283, 8023, 865, 7762, 25953, 2024, 7401, 430, 5992, 48174, 1790, 1093, 701, 5679, 4999, 4897, 6688, 757, 264, 2033, 1935, 994, 358, 5602, 279, 6945, 315, 18821, 627, 40, 7655, 449, 499, 922, 279, 4731, 2288, 13, 28584, 32495, 4731, 2533, 279, 2543, 315, 279, 9478, 374, 53661, 627, 61677, 329, 17156, 512, 791, 7434, 315, 436, 31757, 40625, 374, 4528, 311, 330, 90922, 1, 304, 11104, 10948, 13, 362, 436, 31757, 6885, 374, 264, 743, 315, 8554, 477, 18273, 4455, 13, 362, 6710, 430, 96264, 311, 420, 743, 315, 8554, 3262, 355, 950, 4455, 374, 1071, 311, 387, 304, 430, 436, 31757, 6885, 13, 358, 4344, 539, 2771, 3508, 1070, 374, 4751, 369, 264, 23851, 315, 264, 4040, 436, 31757, 6885, 13, 4452, 11, 1070, 374, 264, 1887, 430, 19170, 279, 5370, 436, 31757, 40625, 627, 31, 50, 17606, 73, 512, 39, 13856, 358, 4344, 16089, 4999, 31, 33, 347, 16684, 512, 36981, 11, 2678, 1917, 0, 22335, 11, 279, 6945, 315, 279, 5679, 304, 27685, 374, 856, 13219, 753, 5679, 40715, 13, 3005, 753, 264, 3816, 1283, 8023, 12278, 474, 25953, 10335, 7401, 6651, 2288, 0, 3005, 574, 13517, 856, 5679, 11, 719, 358, 6688, 1077, 311, 856, 13219, 994, 358, 27167, 311, 11340, 2380, 1667, 4227, 13, 358, 5602, 430, 6945, 315, 701, 5679, 323, 1364, 5992, 49723, 4528, 311, 856, 13219, 753, 0, 2650, 374, 1364, 449, 1023, 12875, 30, 1226, 2751, 11604, 505, 279, 10065, 23756, 320, 32158, 574, 23838, 8, 994, 1364, 574, 220, 17, 13, 3005, 16180, 311, 387, 2212, 1274, 11, 719, 1364, 753, 539, 1633, 11919, 2212, 1023, 12875, 26, 5097, 1077, 264, 1418, 311, 636, 1511, 311, 1124, 323, 1364, 374, 34490, 41690, 2288, 13, 2030, 369, 1063, 2944, 11, 1364, 16180, 19987, 4999, 39, 13856, 11, 22371, 0, 32495, 4731, 374, 17936, 1521, 2919, 26907, 4999, 18066, 54, 11, 36765, 571, 279, 6492, 315, 44842, 2915, 452, 3635, 13, 9930, 499, 369, 430, 1389, 358, 6924, 279, 2816, 13, 358, 4344, 2362, 3403, 311, 617, 34793, 311, 46899, 8590, 2740, 24872, 11, 994, 872, 4731, 574, 6883, 502, 13, 28584, 198, 43, 5047, 264, 2763, 315, 220, 1490, 82, 323, 220, 1954, 82, 4731, 0, 39285, 71, 311, 1510, 5526, 4731, 3582, 13, 25619, 8518, 11, 912, 19297, 13, 358, 4762, 1205, 311, 1505, 264, 1695, 10778, 9063, 8216, 311, 6865, 1695, 1510, 4731, 627, 39, 2596, 374, 264, 6651, 315, 1403, 12875, 38097, 311, 387, 19738, 323, 13697, 88, 449, 1023, 12875, 11, 1093, 856, 89943, 11, 779, 539, 15206, 13, 362, 2763, 14117, 389, 4216, 11704, 13, 31783, 574, 264, 15241, 505, 264, 23756, 11, 856, 432, 1751, 906, 28257, 9087, 330, 19223, 1, 1077, 323, 358, 1101, 617, 3116, 19987, 13, 3005, 706, 9687, 539, 311, 281, 5302, 1124, 2288, 1790, 11, 323, 6691, 291, 279, 13036, 291, 77757, 13, 358, 2751, 89943, 369, 459, 67741, 320, 18964, 10775, 8, 22199, 323, 1364, 374, 3815, 12738, 449, 430, 13, 2100, 1364, 753, 1047, 264, 2763, 315, 4216, 4967, 11, 902, 8779, 13, 358, 1650, 1077, 856, 330, 1964, 7113, 2024, 7401, 1210, 2582, 1120, 578, 15013, 3165, 15889, 14588, 627, 5549, 263, 1431, 636, 757, 3940, 389, 12875, 26, 358, 3350, 922, 1124, 369, 264, 5496, 29275, 31, 33, 347, 16684, 512, 24220, 11, 279, 6492, 374, 5128, 8056, 0, 358, 1047, 912, 4623, 1070, 574, 779, 1790, 8149, 311, 433, 13, 358, 2751, 1139, 27211, 46899, 3010, 304, 856, 9562, 1667, 320, 576, 574, 304, 279, 3389, 220, 1954, 753, 705, 779, 433, 574, 1690, 1667, 1306, 814, 3782, 704, 13, 358, 4344, 5128, 2771, 814, 5222, 1695, 8590, 2740, 24872, 0, 28584, 198, 40, 25720, 40715, 753, 13697, 1918, 3782, 505, 1077, 7762, 11151, 1892, 616, 4376, 11, 719, 358, 617, 1373, 430, 1283, 301, 388, 1101, 8541, 311, 387, 5128, 13697, 88, 13, 358, 25720, 430, 1077, 3766, 7980, 4762, 3287, 1431, 3674, 553, 1077, 1790, 449, 1023, 12875, 13, 358, 4070, 14000, 40715, 374, 5128, 62565, 26, 1364, 374, 264, 2697, 389, 279, 94878, 3185, 520, 279, 4545, 323, 14132, 433, 706, 311, 656, 449, 459, 1234, 3104, 54060, 11, 719, 430, 12775, 1431, 10717, 1077, 505, 1694, 4642, 477, 30102, 389, 311, 1579, 7634, 0, 3005, 16180, 1694, 62920, 2288, 627, 4516, 89943, 6691, 291, 264, 77757, 30, 46817, 430, 753, 12738, 0, 13596, 3488, 1389, 1587, 89943, 12491, 3090, 30, 40715, 1587, 13, 3005, 5900, 704, 315, 1077, 1648, 311, 1304, 2771, 1364, 753, 439, 3117, 3201, 505, 904, 3090, 439, 3284, 0, 358, 1541, 1431, 4059, 11011, 922, 12875, 0, 358, 3021, 1124, 63450, 0, 3234, 499, 3350, 6603, 477, 9908, 922, 1124, 30, 128001, -100, 39212, 6690, 36478, 1120, 6004, 279, 7701, 30199, 220, 23, 339, 25992, 55518, 9983, 7972, 612, 8267, 50730, 19723, 627, 7816, 1109, 220, 22, 11, 931, 1841, 23455, 323, 2532, 6444, 3952, 961, 304, 420, 16781, 3495, 430, 5764, 220, 1041, 10, 828, 3585, 922, 1268, 13723, 5268, 264, 62296, 11, 902, 3477, 6732, 9087, 279, 1455, 11, 279, 12939, 315, 5195, 323, 5690, 11, 1268, 814, 2733, 922, 6369, 323, 14058, 389, 3674, 11, 323, 779, 1790, 810, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81 ]
[ 128000, 6153, 279, 2147, 57, 1741, 82, 1047, 1027, 50682, 505, 279, 21426, 902, 574, 25919, 575, 14559, 13, 6104, 279, 11039, 430, 2163, 279, 5151, 315, 18671, 9822, 323, 34061, 294, 55071, 449, 6680, 574, 35519, 3640, 1523, 11, 8013, 17312, 449, 872, 20724, 45374, 311, 1935, 279, 19229, 11680, 505, 279, 70110, 72857, 889, 1047, 5762, 433, 369, 220, 3443, 1667, 13, 16418, 574, 24981, 3156, 433, 5015, 311, 264, 27365, 304, 279, 79985, 43286, 11, 279, 72857, 9749, 264, 16399, 1584, 505, 29762, 4028, 311, 2893, 388, 383, 4749, 320, 3513, 529, 261, 3005, 6723, 8, 323, 1403, 57919, 389, 420, 1584, 304, 5587, 323, 5936, 315, 220, 7529, 22, 11, 4745, 11, 323, 19543, 304, 220, 605, 11, 931, 8013, 48988, 13, 578, 13945, 21489, 3331, 20661, 1729, 389, 47614, 279, 6671, 11, 41193, 430, 264, 7878, 3440, 574, 4460, 13, 4452, 11, 814, 1436, 1193, 4822, 2500, 220, 1187, 4207, 439, 872, 3090, 8312, 574, 4661, 39019, 323, 2893, 388, 383, 4749, 13282, 279, 1193, 48396, 304, 279, 3158, 13, 578, 3766, 3814, 11, 13673, 42970, 59082, 17177, 14253, 921, 2933, 899, 7263, 220, 508, 11, 931, 315, 813, 22563, 17312, 709, 220, 1272, 93582, 311, 2949, 21933, 6138, 315, 2893, 388, 383, 4749, 13, 763, 1257, 291, 555, 20661, 1729, 311, 12602, 2893, 388, 383, 4749, 11, 921, 6043, 899, 3309, 38889, 96365, 59082, 12656, 24668, 311, 6606, 264, 6900, 520, 279, 13240, 220, 19, 11, 931, 24666, 323, 6063, 17312, 44120, 304, 1070, 13, 24668, 28902, 220, 4728, 3026, 46338, 279, 220, 19, 339, 323, 220, 717, 339, 13673, 8828, 34392, 73786, 311, 6900, 279, 9354, 10093, 304, 1403, 17301, 220, 3101, 311, 220, 2636, 37356, 10980, 323, 4028, 264, 4156, 315, 1063, 220, 5120, 15, 37356, 13, 578, 6900, 574, 13205, 369, 220, 19, 13, 966, 304, 279, 13658, 449, 279, 6376, 7160, 4920, 1124, 13, 578, 6900, 3940, 520, 264, 6435, 57677, 11, 719, 994, 2949, 1403, 13437, 11, 279, 27928, 7882, 1139, 264, 15730, 23085, 13, 3161, 279, 22843, 315, 3090, 304, 872, 57426, 8839, 814, 1436, 539, 387, 5762, 1203, 11, 369, 814, 1047, 539, 54244, 369, 220, 2166, 4207, 13, 11205, 21467, 5762, 5043, 439, 279, 27928, 15730, 385, 7018, 4330, 37356, 10980, 13, 2435, 22563, 279, 24666, 5238, 1603, 279, 41131, 1436, 10772, 5694, 13, 7648, 315, 279, 11039, 574, 1450, 311, 1450, 323, 555, 3814, 13772, 2893, 388, 383, 4749, 574, 304, 54502, 6206, 13, 5046, 279, 220, 4728, 3026, 889, 11684, 11, 220, 2148, 8636, 11, 220, 1927, 1051, 28593, 323, 520, 3325, 220, 2031, 27928, 8636, 13, 24668, 3010, 3309, 813, 17312, 430, 814, 1047, 4529, 961, 304, 11, 1054, 1820, 12474, 79657, 6900, 304, 279, 3925, 315, 39307, 49216, 791, 426, 3181, 414, 42021, 198, 1966, 279, 1890, 1938, 439, 420, 6992, 6900, 11, 6664, 220, 2148, 11, 220, 7529, 22, 11, 279, 8013, 10423, 7378, 311, 264, 1715, 505, 872, 19620, 12667, 11, 10425, 28686, 7957, 426, 3181, 414, 11, 902, 574, 16287, 4147, 304, 264, 6661, 311, 10425, 54007, 84224, 33305, 97015, 3124, 389, 6841, 220, 17, 323, 6244, 3967, 439, 279, 426, 3181, 414, 42021, 512, 16366, 67344, 753, 3109, 1684, 449, 12617, 279, 21967, 304, 42034, 315, 264, 5426, 2162, 369, 279, 13653, 1274, 11, 323, 690, 1005, 872, 1888, 29705, 402, 2530, 311, 28696, 279, 26501, 315, 420, 1665, 11, 433, 1694, 9539, 16365, 430, 4400, 4985, 387, 2884, 902, 1253, 48786, 279, 8431, 323, 10597, 3268, 315, 6484, 2536, 12278, 66929, 10977, 304, 42034, 11, 477, 279, 3268, 323, 5054, 2704, 14333, 555, 17420, 304, 904, 1023, 3224, 627, 791, 18489, 6688, 2294, 3987, 311, 279, 13653, 1274, 439, 13527, 574, 264, 1917, 2410, 323, 1053, 5246, 9855, 1772, 48260, 2585, 315, 42034, 13, 578, 8063, 315, 264, 6617, 13653, 1614, 1053, 539, 387, 41193, 3156, 3297, 220, 6393, 23, 11, 719, 433, 3940, 449, 279, 4363, 5108, 1234, 8013, 2585, 323, 8013, 14944, 369, 433, 311, 42228, 1203, 311, 13653, 6206, 11, 439, 4359, 6688, 279, 4363, 311, 279, 15394, 315, 6921, 439, 459, 96049, 19243, 627, 50219, 36302, 574, 9405, 304, 469, 41205, 8123, 304, 10057, 304, 220, 10410, 18, 1139, 264, 70351, 28994, 3070, 439, 813, 7126, 574, 264, 6992, 48263, 323, 568, 4934, 813, 4538, 311, 4007, 7658, 13, 4452, 11, 11826, 1766, 7658, 323, 1243, 46969, 311, 387, 653, 1285, 7712, 287, 26, 568, 4934, 311, 1440, 810, 922, 4359, 13, 1952, 5887, 220, 1114, 11, 220, 3965, 20, 11, 36302, 10862, 800, 74565, 753, 3206, 54671, 304, 42763, 5757, 627, 644, 220, 3965, 22, 568, 574, 459, 86724, 28185, 323, 832, 1060, 3010, 568, 10862, 279, 3907, 315, 468, 23257, 7881, 1405, 568, 20041, 323, 6994, 49683, 12628, 323, 1243, 264, 19150, 315, 46969, 323, 3010, 6244, 264, 17054, 315, 578, 2508, 13, 2052, 279, 1418, 36302, 574, 57775, 555, 813, 97727, 7138, 323, 1268, 568, 1436, 3719, 1314, 449, 4359, 13, 1102, 574, 1193, 1555, 813, 4007, 315, 279, 17377, 323, 304, 4040, 11, 69472, 288, 5493, 220, 17, 25, 23, 12, 605, 323, 49817, 220, 16, 25, 845, 12, 1114, 902, 5415, 512, 40, 1097, 539, 51975, 315, 279, 42582, 1606, 433, 374, 279, 2410, 315, 4359, 369, 279, 46035, 315, 5127, 889, 13919, 14382, 53263, 863, 791, 42805, 690, 3974, 555, 10082, 49216, 9210, 36302, 3782, 311, 3619, 323, 11224, 430, 46035, 574, 555, 21507, 7636, 1555, 10082, 7636, 11, 304, 3771, 7636, 13, 1628, 420, 574, 304, 1906, 13168, 311, 1148, 574, 3856, 4147, 304, 279, 8993, 11, 1405, 46035, 555, 4375, 574, 15972, 13, 3639, 8104, 436, 2230, 1461, 574, 279, 88688, 555, 64372, 37848, 1630, 304, 279, 11486, 315, 37960, 70, 6072, 13, 3011, 374, 1274, 1436, 2343, 3300, 311, 617, 872, 43720, 10456, 6305, 67797, 311, 387, 12886, 704, 315, 4087, 70, 5382, 11, 264, 2536, 1481, 581, 32348, 2035, 11, 1139, 23070, 13, 578, 64372, 1511, 279, 3300, 311, 1977, 14539, 11291, 753, 67070, 3074, 627, 2028, 682, 3782, 311, 264, 2010, 994, 36302, 75974, 813, 220, 2721, 279, 9459, 311, 279, 8993, 6134, 315, 468, 23257, 7881, 27987, 389, 6664, 220, 2148, 11, 220, 9690, 22, 13, 1115, 574, 279, 88688, 520, 279, 892, 311, 39201, 10430, 389, 3738, 15223, 323, 433, 8111, 430, 374, 682, 36302, 574, 11125, 13, 4452, 11, 11236, 315, 36302, 753, 279, 9459, 1051, 1903, 11, 279, 83679, 955, 18991, 3577, 574, 36592, 922, 220, 1399, 1667, 8767, 11, 323, 3288, 2212, 279, 3224, 323, 311, 279, 64372, 13, 763, 220, 9756, 15, 11, 264, 17231, 315, 72106, 574, 11136, 555, 279, 64372, 323, 3288, 311, 36302, 889, 50440, 433, 13, 763, 279, 33953, 11, 36302, 17626, 813, 72106, 315, 279, 8993, 311, 2997, 279, 33235, 315, 279, 9346, 323, 279, 5274, 315, 279, 64372, 627, 644, 220, 9756, 16, 279, 19229, 13041, 32447, 95898, 264, 10173, 11, 477, 15177, 520, 279, 6424, 315, 74130, 82, 311, 2686, 279, 3575, 315, 11826, 36302, 889, 574, 11713, 311, 2559, 1603, 433, 13, 4740, 3116, 4038, 11, 279, 35414, 15274, 650, 10666, 279, 1620, 10165, 315, 279, 3279, 858, 315, 74130, 82, 389, 220, 914, 3297, 220, 9756, 16, 11, 37631, 36302, 459, 65106, 11, 49636, 813, 17649, 11, 323, 23537, 813, 8163, 25, 1054, 1687, 1390, 1461, 311, 387, 47291, 2954, 323, 41998, 439, 264, 44081, 1077, 5411, 2029, 1102, 1101, 1903, 433, 264, 9977, 369, 5606, 304, 10057, 311, 3041, 36302, 3691, 477, 23756, 13, 1102, 15480, 5606, 311, 5622, 36302, 2085, 5897, 29774, 627, 37831, 1126, 875, 14767, 11, 10085, 269, 315, 68027, 3633, 11, 31894, 36302, 304, 468, 472, 10481, 27987, 11, 55593, 613, 369, 7154, 832, 1060, 13, 12220, 420, 892, 11, 568, 25548, 279, 1561, 40214, 1139, 6063, 902, 574, 459, 23205, 2450, 11486, 220, 20, 11, 931, 11236, 304, 1403, 4038, 627, 791, 35678, 430, 36302, 98988, 520, 468, 23257, 7881, 9041, 1093, 93225, 6957, 4606, 323, 2212, 279, 1917, 439, 1023, 864, 27618, 11096, 279, 5353, 323, 6688, 7342, 311, 1148, 3010, 6244, 3967, 439, 60753, 2191, 13, 36302, 8636, 220, 972, 7552, 220, 10559, 21, 320, 3359, 220, 5538, 8, 304, 469, 41205, 8123, 11, 68027, 3633, 627, 41888, 220, 717, 25, 22, 26, 220, 1032, 25, 975, 11, 220, 868, 11, 220, 1114, 26, 220, 868, 25, 22, 26, 220, 868, 25, 972, 627, 24150, 8270, 11, 578, 11346, 315, 32186, 11, 33199, 39253, 97562, 11, 220, 1049, 22, 11, 6959, 220, 14735, 12, 12375, 26, 1708, 1601, 88850, 589, 11, 32186, 753, 74132, 52101, 11, 33107, 3861, 11, 220, 1049, 22, 13, 128001, 128000, 791, 220, 2366, 17, 12873, 6696, 22143, 374, 7742, 11, 7344, 279, 41405, 690, 387, 4642, 627, 791, 19051, 41405, 527, 20427, 5128, 1579, 1314, 1457, 13, 2435, 527, 220, 21, 12, 17, 11, 1120, 16957, 220, 2491, 3585, 304, 264, 6908, 3243, 2403, 279, 10780, 37068, 11, 323, 814, 527, 1457, 389, 264, 54141, 449, 459, 6776, 311, 2800, 709, 1603, 872, 1828, 13726, 71098, 24893, 430, 690, 1935, 1124, 1555, 37250, 627, 87614, 374, 832, 315, 279, 1888, 7411, 304, 279, 12873, 13, 1226, 649, 2503, 1618, 323, 11249, 3738, 3649, 719, 279, 41405, 617, 1475, 6776, 323, 6140, 315, 11230, 279, 7445, 20904, 420, 3280, 13, 5046, 3388, 11, 1070, 527, 5627, 304, 902, 814, 649, 7417, 323, 832, 315, 1884, 5627, 374, 555, 11380, 369, 11005, 311, 923, 311, 872, 2736, 38025, 69563, 22162, 13, 578, 41405, 3604, 2736, 13541, 1022, 264, 6696, 1566, 2046, 994, 814, 3288, 264, 220, 2366, 18, 26084, 21691, 3820, 311, 279, 16132, 18059, 43136, 369, 16399, 22118, 3842, 14308, 55761, 1354, 320, 14965, 6476, 389, 7418, 8, 323, 264, 220, 2366, 19, 31487, 21691, 3820, 627, 4071, 1436, 814, 923, 810, 5380, 2409, 279, 41405, 5737, 264, 1847, 389, 7418, 11, 430, 3984, 459, 6776, 369, 29808, 12201, 311, 3094, 304, 4156, 315, 264, 3772, 9406, 372, 13, 763, 7556, 922, 813, 2128, 29808, 10555, 264, 2478, 2204, 2574, 323, 574, 4691, 922, 13893, 18899, 813, 2128, 627, 791, 2128, 6506, 11, 4872, 11, 323, 4689, 6783, 1071, 430, 568, 574, 7995, 10032, 311, 1054, 3427, 369, 433, 863, 1234, 279, 1314, 13463, 13, 7557, 315, 430, 1148, 499, 690, 627, 42575, 617, 311, 1304, 5647, 369, 31442, 311, 2586, 3871, 304, 10034, 11, 499, 617, 311, 1505, 279, 1314, 2128, 10032, 311, 961, 449, 279, 1314, 2851, 369, 279, 1314, 3430, 627, 4054, 836, 320, 4345, 21939, 2574, 704, 1618, 8, 374, 7029, 14291, 423, 3587, 13, 20832, 315, 279, 13030, 45267, 13, 20832, 706, 1027, 8599, 311, 1690, 6696, 35492, 439, 279, 45267, 527, 3411, 810, 7119, 279, 3938, 323, 279, 41405, 1436, 7995, 1005, 1063, 810, 15538, 1520, 13, 5046, 3388, 11, 433, 690, 4461, 2853, 264, 2766, 311, 21953, 20832, 11, 719, 2980, 430, 19051, 574, 10032, 311, 6696, 264, 1176, 21691, 3820, 369, 3383, 2850, 24421, 1120, 3116, 1667, 4227, 994, 304, 264, 4528, 10950, 320, 37241, 430, 2128, 574, 220, 18, 12, 20, 323, 539, 220, 21, 12, 17, 4390, 3923, 6696, 656, 499, 1390, 311, 1518, 279, 41405, 6958, 1022, 30, 128001 ]
[ -100, 6153, 279, 2147, 57, 1741, 82, 1047, 1027, 50682, 505, 279, 21426, 902, 574, 25919, 575, 14559, 13, 6104, 279, 11039, 430, 2163, 279, 5151, 315, 18671, 9822, 323, 34061, 294, 55071, 449, 6680, 574, 35519, 3640, 1523, 11, 8013, 17312, 449, 872, 20724, 45374, 311, 1935, 279, 19229, 11680, 505, 279, 70110, 72857, 889, 1047, 5762, 433, 369, 220, 3443, 1667, 13, 16418, 574, 24981, 3156, 433, 5015, 311, 264, 27365, 304, 279, 79985, 43286, 11, 279, 72857, 9749, 264, 16399, 1584, 505, 29762, 4028, 311, 2893, 388, 383, 4749, 320, 3513, 529, 261, 3005, 6723, 8, 323, 1403, 57919, 389, 420, 1584, 304, 5587, 323, 5936, 315, 220, 7529, 22, 11, 4745, 11, 323, 19543, 304, 220, 605, 11, 931, 8013, 48988, 13, 578, 13945, 21489, 3331, 20661, 1729, 389, 47614, 279, 6671, 11, 41193, 430, 264, 7878, 3440, 574, 4460, 13, 4452, 11, 814, 1436, 1193, 4822, 2500, 220, 1187, 4207, 439, 872, 3090, 8312, 574, 4661, 39019, 323, 2893, 388, 383, 4749, 13282, 279, 1193, 48396, 304, 279, 3158, 13, 578, 3766, 3814, 11, 13673, 42970, 59082, 17177, 14253, 921, 2933, 899, 7263, 220, 508, 11, 931, 315, 813, 22563, 17312, 709, 220, 1272, 93582, 311, 2949, 21933, 6138, 315, 2893, 388, 383, 4749, 13, 763, 1257, 291, 555, 20661, 1729, 311, 12602, 2893, 388, 383, 4749, 11, 921, 6043, 899, 3309, 38889, 96365, 59082, 12656, 24668, 311, 6606, 264, 6900, 520, 279, 13240, 220, 19, 11, 931, 24666, 323, 6063, 17312, 44120, 304, 1070, 13, 24668, 28902, 220, 4728, 3026, 46338, 279, 220, 19, 339, 323, 220, 717, 339, 13673, 8828, 34392, 73786, 311, 6900, 279, 9354, 10093, 304, 1403, 17301, 220, 3101, 311, 220, 2636, 37356, 10980, 323, 4028, 264, 4156, 315, 1063, 220, 5120, 15, 37356, 13, 578, 6900, 574, 13205, 369, 220, 19, 13, 966, 304, 279, 13658, 449, 279, 6376, 7160, 4920, 1124, 13, 578, 6900, 3940, 520, 264, 6435, 57677, 11, 719, 994, 2949, 1403, 13437, 11, 279, 27928, 7882, 1139, 264, 15730, 23085, 13, 3161, 279, 22843, 315, 3090, 304, 872, 57426, 8839, 814, 1436, 539, 387, 5762, 1203, 11, 369, 814, 1047, 539, 54244, 369, 220, 2166, 4207, 13, 11205, 21467, 5762, 5043, 439, 279, 27928, 15730, 385, 7018, 4330, 37356, 10980, 13, 2435, 22563, 279, 24666, 5238, 1603, 279, 41131, 1436, 10772, 5694, 13, 7648, 315, 279, 11039, 574, 1450, 311, 1450, 323, 555, 3814, 13772, 2893, 388, 383, 4749, 574, 304, 54502, 6206, 13, 5046, 279, 220, 4728, 3026, 889, 11684, 11, 220, 2148, 8636, 11, 220, 1927, 1051, 28593, 323, 520, 3325, 220, 2031, 27928, 8636, 13, 24668, 3010, 3309, 813, 17312, 430, 814, 1047, 4529, 961, 304, 11, 1054, 1820, 12474, 79657, 6900, 304, 279, 3925, 315, 39307, 49216, 791, 426, 3181, 414, 42021, 198, 1966, 279, 1890, 1938, 439, 420, 6992, 6900, 11, 6664, 220, 2148, 11, 220, 7529, 22, 11, 279, 8013, 10423, 7378, 311, 264, 1715, 505, 872, 19620, 12667, 11, 10425, 28686, 7957, 426, 3181, 414, 11, 902, 574, 16287, 4147, 304, 264, 6661, 311, 10425, 54007, 84224, 33305, 97015, 3124, 389, 6841, 220, 17, 323, 6244, 3967, 439, 279, 426, 3181, 414, 42021, 512, 16366, 67344, 753, 3109, 1684, 449, 12617, 279, 21967, 304, 42034, 315, 264, 5426, 2162, 369, 279, 13653, 1274, 11, 323, 690, 1005, 872, 1888, 29705, 402, 2530, 311, 28696, 279, 26501, 315, 420, 1665, 11, 433, 1694, 9539, 16365, 430, 4400, 4985, 387, 2884, 902, 1253, 48786, 279, 8431, 323, 10597, 3268, 315, 6484, 2536, 12278, 66929, 10977, 304, 42034, 11, 477, 279, 3268, 323, 5054, 2704, 14333, 555, 17420, 304, 904, 1023, 3224, 627, 791, 18489, 6688, 2294, 3987, 311, 279, 13653, 1274, 439, 13527, 574, 264, 1917, 2410, 323, 1053, 5246, 9855, 1772, 48260, 2585, 315, 42034, 13, 578, 8063, 315, 264, 6617, 13653, 1614, 1053, 539, 387, 41193, 3156, 3297, 220, 6393, 23, 11, 719, 433, 3940, 449, 279, 4363, 5108, 1234, 8013, 2585, 323, 8013, 14944, 369, 433, 311, 42228, 1203, 311, 13653, 6206, 11, 439, 4359, 6688, 279, 4363, 311, 279, 15394, 315, 6921, 439, 459, 96049, 19243, 627, 50219, 36302, 574, 9405, 304, 469, 41205, 8123, 304, 10057, 304, 220, 10410, 18, 1139, 264, 70351, 28994, 3070, 439, 813, 7126, 574, 264, 6992, 48263, 323, 568, 4934, 813, 4538, 311, 4007, 7658, 13, 4452, 11, 11826, 1766, 7658, 323, 1243, 46969, 311, 387, 653, 1285, 7712, 287, 26, 568, 4934, 311, 1440, 810, 922, 4359, 13, 1952, 5887, 220, 1114, 11, 220, 3965, 20, 11, 36302, 10862, 800, 74565, 753, 3206, 54671, 304, 42763, 5757, 627, 644, 220, 3965, 22, 568, 574, 459, 86724, 28185, 323, 832, 1060, 3010, 568, 10862, 279, 3907, 315, 468, 23257, 7881, 1405, 568, 20041, 323, 6994, 49683, 12628, 323, 1243, 264, 19150, 315, 46969, 323, 3010, 6244, 264, 17054, 315, 578, 2508, 13, 2052, 279, 1418, 36302, 574, 57775, 555, 813, 97727, 7138, 323, 1268, 568, 1436, 3719, 1314, 449, 4359, 13, 1102, 574, 1193, 1555, 813, 4007, 315, 279, 17377, 323, 304, 4040, 11, 69472, 288, 5493, 220, 17, 25, 23, 12, 605, 323, 49817, 220, 16, 25, 845, 12, 1114, 902, 5415, 512, 40, 1097, 539, 51975, 315, 279, 42582, 1606, 433, 374, 279, 2410, 315, 4359, 369, 279, 46035, 315, 5127, 889, 13919, 14382, 53263, 863, 791, 42805, 690, 3974, 555, 10082, 49216, 9210, 36302, 3782, 311, 3619, 323, 11224, 430, 46035, 574, 555, 21507, 7636, 1555, 10082, 7636, 11, 304, 3771, 7636, 13, 1628, 420, 574, 304, 1906, 13168, 311, 1148, 574, 3856, 4147, 304, 279, 8993, 11, 1405, 46035, 555, 4375, 574, 15972, 13, 3639, 8104, 436, 2230, 1461, 574, 279, 88688, 555, 64372, 37848, 1630, 304, 279, 11486, 315, 37960, 70, 6072, 13, 3011, 374, 1274, 1436, 2343, 3300, 311, 617, 872, 43720, 10456, 6305, 67797, 311, 387, 12886, 704, 315, 4087, 70, 5382, 11, 264, 2536, 1481, 581, 32348, 2035, 11, 1139, 23070, 13, 578, 64372, 1511, 279, 3300, 311, 1977, 14539, 11291, 753, 67070, 3074, 627, 2028, 682, 3782, 311, 264, 2010, 994, 36302, 75974, 813, 220, 2721, 279, 9459, 311, 279, 8993, 6134, 315, 468, 23257, 7881, 27987, 389, 6664, 220, 2148, 11, 220, 9690, 22, 13, 1115, 574, 279, 88688, 520, 279, 892, 311, 39201, 10430, 389, 3738, 15223, 323, 433, 8111, 430, 374, 682, 36302, 574, 11125, 13, 4452, 11, 11236, 315, 36302, 753, 279, 9459, 1051, 1903, 11, 279, 83679, 955, 18991, 3577, 574, 36592, 922, 220, 1399, 1667, 8767, 11, 323, 3288, 2212, 279, 3224, 323, 311, 279, 64372, 13, 763, 220, 9756, 15, 11, 264, 17231, 315, 72106, 574, 11136, 555, 279, 64372, 323, 3288, 311, 36302, 889, 50440, 433, 13, 763, 279, 33953, 11, 36302, 17626, 813, 72106, 315, 279, 8993, 311, 2997, 279, 33235, 315, 279, 9346, 323, 279, 5274, 315, 279, 64372, 627, 644, 220, 9756, 16, 279, 19229, 13041, 32447, 95898, 264, 10173, 11, 477, 15177, 520, 279, 6424, 315, 74130, 82, 311, 2686, 279, 3575, 315, 11826, 36302, 889, 574, 11713, 311, 2559, 1603, 433, 13, 4740, 3116, 4038, 11, 279, 35414, 15274, 650, 10666, 279, 1620, 10165, 315, 279, 3279, 858, 315, 74130, 82, 389, 220, 914, 3297, 220, 9756, 16, 11, 37631, 36302, 459, 65106, 11, 49636, 813, 17649, 11, 323, 23537, 813, 8163, 25, 1054, 1687, 1390, 1461, 311, 387, 47291, 2954, 323, 41998, 439, 264, 44081, 1077, 5411, 2029, 1102, 1101, 1903, 433, 264, 9977, 369, 5606, 304, 10057, 311, 3041, 36302, 3691, 477, 23756, 13, 1102, 15480, 5606, 311, 5622, 36302, 2085, 5897, 29774, 627, 37831, 1126, 875, 14767, 11, 10085, 269, 315, 68027, 3633, 11, 31894, 36302, 304, 468, 472, 10481, 27987, 11, 55593, 613, 369, 7154, 832, 1060, 13, 12220, 420, 892, 11, 568, 25548, 279, 1561, 40214, 1139, 6063, 902, 574, 459, 23205, 2450, 11486, 220, 20, 11, 931, 11236, 304, 1403, 4038, 627, 791, 35678, 430, 36302, 98988, 520, 468, 23257, 7881, 9041, 1093, 93225, 6957, 4606, 323, 2212, 279, 1917, 439, 1023, 864, 27618, 11096, 279, 5353, 323, 6688, 7342, 311, 1148, 3010, 6244, 3967, 439, 60753, 2191, 13, 36302, 8636, 220, 972, 7552, 220, 10559, 21, 320, 3359, 220, 5538, 8, 304, 469, 41205, 8123, 11, 68027, 3633, 627, 41888, 220, 717, 25, 22, 26, 220, 1032, 25, 975, 11, 220, 868, 11, 220, 1114, 26, 220, 868, 25, 22, 26, 220, 868, 25, 972, 627, 24150, 8270, 11, 578, 11346, 315, 32186, 11, 33199, 39253, 97562, 11, 220, 1049, 22, 11, 6959, 220, 14735, 12, 12375, 26, 1708, 1601, 88850, 589, 11, 32186, 753, 74132, 52101, 11, 33107, 3861, 11, 220, 1049, 22, 13, 128001, -100, 791, 220, 2366, 17, 12873, 6696, 22143, 374, 7742, 11, 7344, 279, 41405, 690, 387, 4642, 627, 791, 19051, 41405, 527, 20427, 5128, 1579, 1314, 1457, 13, 2435, 527, 220, 21, 12, 17, 11, 1120, 16957, 220, 2491, 3585, 304, 264, 6908, 3243, 2403, 279, 10780, 37068, 11, 323, 814, 527, 1457, 389, 264, 54141, 449, 459, 6776, 311, 2800, 709, 1603, 872, 1828, 13726, 71098, 24893, 430, 690, 1935, 1124, 1555, 37250, 627, 87614, 374, 832, 315, 279, 1888, 7411, 304, 279, 12873, 13, 1226, 649, 2503, 1618, 323, 11249, 3738, 3649, 719, 279, 41405, 617, 1475, 6776, 323, 6140, 315, 11230, 279, 7445, 20904, 420, 3280, 13, 5046, 3388, 11, 1070, 527, 5627, 304, 902, 814, 649, 7417, 323, 832, 315, 1884, 5627, 374, 555, 11380, 369, 11005, 311, 923, 311, 872, 2736, 38025, 69563, 22162, 13, 578, 41405, 3604, 2736, 13541, 1022, 264, 6696, 1566, 2046, 994, 814, 3288, 264, 220, 2366, 18, 26084, 21691, 3820, 311, 279, 16132, 18059, 43136, 369, 16399, 22118, 3842, 14308, 55761, 1354, 320, 14965, 6476, 389, 7418, 8, 323, 264, 220, 2366, 19, 31487, 21691, 3820, 627, 4071, 1436, 814, 923, 810, 5380, 2409, 279, 41405, 5737, 264, 1847, 389, 7418, 11, 430, 3984, 459, 6776, 369, 29808, 12201, 311, 3094, 304, 4156, 315, 264, 3772, 9406, 372, 13, 763, 7556, 922, 813, 2128, 29808, 10555, 264, 2478, 2204, 2574, 323, 574, 4691, 922, 13893, 18899, 813, 2128, 627, 791, 2128, 6506, 11, 4872, 11, 323, 4689, 6783, 1071, 430, 568, 574, 7995, 10032, 311, 1054, 3427, 369, 433, 863, 1234, 279, 1314, 13463, 13, 7557, 315, 430, 1148, 499, 690, 627, 42575, 617, 311, 1304, 5647, 369, 31442, 311, 2586, 3871, 304, 10034, 11, 499, 617, 311, 1505, 279, 1314, 2128, 10032, 311, 961, 449, 279, 1314, 2851, 369, 279, 1314, 3430, 627, 4054, 836, 320, 4345, 21939, 2574, 704, 1618, 8, 374, 7029, 14291, 423, 3587, 13, 20832, 315, 279, 13030, 45267, 13, 20832, 706, 1027, 8599, 311, 1690, 6696, 35492, 439, 279, 45267, 527, 3411, 810, 7119, 279, 3938, 323, 279, 41405, 1436, 7995, 1005, 1063, 810, 15538, 1520, 13, 5046, 3388, 11, 433, 690, 4461, 2853, 264, 2766, 311, 21953, 20832, 11, 719, 2980, 430, 19051, 574, 10032, 311, 6696, 264, 1176, 21691, 3820, 369, 3383, 2850, 24421, 1120, 3116, 1667, 4227, 994, 304, 264, 4528, 10950, 320, 37241, 430, 2128, 574, 220, 18, 12, 20, 323, 539, 220, 21, 12, 17, 4390, 3923, 6696, 656, 499, 1390, 311, 1518, 279, 41405, 6958, 1022, 30, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419 ]
[ 128000, 33, 14447, 12360, 69743, 25273, 13739, 922, 10007, 7904, 9698, 11, 279, 12939, 315, 1054, 18204, 2191, 12631, 498, 36845, 220, 18, 11, 323, 810, 627, 17691, 1543, 25273, 690, 3552, 358, 38615, 23488, 220, 2366, 17, 13, 320, 10682, 25, 8909, 5863, 921, 675, 4355, 340, 33, 14447, 58347, 69743, 25273, 389, 7159, 12570, 922, 7363, 6890, 12631, 323, 813, 14827, 5818, 449, 23683, 30885, 19262, 561, 277, 921, 404, 53191, 2176, 10176, 13, 1283, 1101, 15243, 922, 279, 1205, 369, 45080, 12631, 311, 617, 3451, 18204, 2191, 529, 627, 17691, 1543, 6222, 430, 568, 374, 3815, 264, 3361, 3560, 304, 921, 404, 53191, 2176, 10176, 753, 1828, 4632, 25891, 4359, 23881, 13, 1283, 1071, 11, 1054, 2181, 706, 1027, 264, 11364, 3217, 3318, 449, 1461, 13, 358, 617, 3967, 921, 404, 84, 12471, 84, 369, 279, 22807, 892, 13, 1283, 706, 1101, 1027, 264, 4333, 13, 5414, 4538, 320, 64948, 4969, 276, 8, 374, 1101, 264, 4333, 13, 1283, 706, 2884, 1778, 264, 14964, 2683, 304, 432, 8268, 13, 358, 1120, 37287, 1461, 389, 813, 15553, 11, 323, 389, 279, 2450, 315, 813, 4632, 13, 358, 1097, 1633, 12691, 315, 1461, 13, 1102, 11321, 779, 1695, 430, 568, 374, 3815, 779, 1664, 13, 2030, 358, 5895, 3249, 1057, 12631, 527, 539, 3815, 779, 1664, 304, 279, 10007, 13, 11205, 12631, 527, 3815, 779, 1664, 1618, 49216, 791, 12360, 574, 7556, 520, 279, 358, 38615, 23488, 220, 2366, 17, 3577, 10017, 5762, 304, 35812, 13, 578, 23146, 734, 690, 1935, 2035, 304, 71028, 10951, 304, 31229, 73879, 389, 3297, 220, 508, 323, 220, 1691, 627, 16397, 279, 1567, 11, 69743, 25273, 20654, 4147, 279, 1205, 311, 1304, 1054, 18204, 2191, 12631, 11453, 1283, 1071, 11, 1054, 7009, 320, 1820, 10007, 7904, 4632, 5064, 8, 617, 2744, 11846, 304, 12084, 2191, 11, 779, 617, 584, 13, 3277, 499, 2586, 704, 315, 279, 34596, 11, 499, 1205, 12084, 2191, 13, 5810, 11, 10980, 505, 832, 477, 1403, 1274, 11, 584, 527, 539, 3339, 12084, 2191, 12631, 13, 1226, 1288, 17460, 3339, 1884, 8294, 1109, 2324, 12084, 2191, 12631, 13, 358, 1097, 3815, 430, 1193, 13, 4452, 11, 358, 2733, 1521, 2919, 11, 1274, 617, 3719, 7155, 323, 1781, 358, 617, 3719, 63692, 15433, 49216, 984, 14202, 19183, 765, 17691, 1543, 25273, 45695, 10658, 369, 921, 404, 53191, 2176, 10176, 753, 4359, 23881, 11, 1518, 9364, 198, 2118, 31328, 2191, 2744, 4375, 11, 439, 1070, 374, 264, 3169, 315, 4667, 11, 323, 430, 753, 1633, 3062, 369, 320, 66, 483, 3427, 388, 570, 1226, 4070, 1047, 420, 3645, 505, 8375, 318, 12278, 4234, 753, 3115, 11, 719, 1457, 814, 320, 67584, 7904, 63203, 8, 527, 4737, 433, 311, 279, 1828, 2237, 13, 25744, 2768, 1070, 320, 67584, 6890, 8, 374, 6908, 11, 323, 1457, 358, 1097, 1101, 3318, 449, 921, 404, 84, 12471, 84, 13, 2435, 617, 264, 2204, 1742, 315, 12631, 11, 323, 433, 374, 1633, 6555, 13, 1442, 499, 1518, 423, 370, 526, 70, 4101, 11, 393, 42029, 735, 5893, 276, 1323, 1037, 433, 304, 23683, 30885, 13, 67710, 2288, 6575, 1523, 10007, 13, 4497, 1778, 12631, 1288, 387, 1903, 13, 4800, 584, 527, 3815, 41536, 6151, 86844, 41536, 6151, 7923, 86, 8115, 13, 15483, 264, 892, 1288, 2586, 430, 814, 59155, 1057, 12631, 1578, 13, 763, 279, 10007, 11, 279, 16483, 527, 1633, 2653, 3318, 13, 2435, 1304, 12631, 389, 6366, 19476, 13, 7570, 994, 814, 1304, 2678, 12631, 11, 1274, 733, 323, 1518, 1124, 13, 358, 1781, 11, 1618, 1148, 706, 7077, 374, 11, 1274, 1781, 6890, 374, 505, 356, 1386, 63654, 320, 258, 4987, 35812, 8, 311, 1628, 1964, 72, 320, 2008, 60159, 35812, 8, 1193, 13, 358, 11, 4869, 11, 1781, 20412, 592, 276, 8638, 1306, 356, 1386, 63654, 323, 1628, 1964, 72, 13, 34459, 20412, 592, 276, 374, 1828, 311, 279, 40106, 14242, 304, 17366, 969, 6460, 320, 2008, 60159, 35812, 570, 3092, 12631, 527, 1101, 369, 1124, 13, 2435, 2586, 449, 264, 1695, 1984, 2288, 13, 4740, 10307, 264, 4632, 11, 1274, 1288, 617, 810, 6680, 53226, 304, 1124, 2476, 279, 12360, 3779, 627, 17691, 1543, 1101, 6222, 430, 568, 32838, 10307, 10007, 7904, 12631, 11, 719, 568, 706, 539, 1027, 9076, 832, 3686, 13, 1283, 1071, 11, 1054, 4599, 814, 2586, 311, 757, 11, 814, 1541, 1431, 2586, 311, 757, 369, 264, 44883, 477, 23683, 30885, 4632, 13, 2435, 2586, 311, 757, 369, 45080, 49216, 17691, 1543, 25273, 690, 387, 3970, 1828, 304, 816, 18077, 753, 36845, 220, 18, 13, 62022, 922, 279, 5818, 11, 279, 12360, 1071, 11, 1054, 1687, 617, 20037, 709, 36845, 220, 18, 13, 4427, 9660, 527, 2163, 11, 25270, 29727, 13, 18715, 11, 584, 617, 20037, 709, 36845, 220, 18, 49216, 17691, 1543, 4726, 12570, 922, 813, 95156, 304, 37617, 432, 3178, 71, 25273, 11, 3842, 37488, 323, 18682, 11755, 26367, 3178, 606, 753, 8092, 276, 13, 1283, 1071, 11, 1054, 9642, 11, 358, 1097, 3815, 264, 3361, 11341, 304, 1443, 15464, 432, 3178, 71, 753, 8092, 276, 323, 568, 374, 3815, 264, 3361, 11341, 304, 856, 4632, 2029, 1952, 1694, 4691, 422, 568, 374, 1101, 3815, 264, 95156, 304, 362, 309, 404, 25273, 753, 5034, 278, 27992, 921, 723, 4317, 11, 69743, 41803, 1570, 1071, 11, 1054, 644, 5034, 278, 27992, 921, 723, 4317, 11, 362, 309, 404, 374, 279, 1925, 12084, 13, 1283, 374, 3361, 49216, 4599, 4691, 422, 568, 690, 6917, 304, 459, 8775, 51, 2447, 439, 1455, 315, 813, 26081, 1093, 41757, 352, 6168, 5010, 11, 16762, 939, 352, 41240, 323, 3885, 617, 1903, 872, 8775, 51, 17755, 11, 69743, 1071, 430, 4400, 7185, 706, 1027, 9076, 311, 1461, 3686, 719, 568, 374, 17843, 264, 1501, 13, 1283, 1071, 11, 1054, 40, 9167, 1431, 2751, 4205, 1093, 430, 3686, 13, 7570, 422, 433, 4131, 11, 433, 706, 311, 387, 2466, 323, 13548, 11, 6062, 1070, 374, 912, 2523, 13, 2030, 13835, 11, 358, 1097, 17843, 369, 8775, 51, 13, 1102, 374, 264, 7434, 430, 584, 527, 3967, 369, 11, 2555, 1695, 49216, 17691, 1543, 25273, 690, 387, 20256, 358, 38615, 23488, 220, 2366, 17, 13, 1283, 690, 1101, 2804, 520, 279, 23146, 734, 627, 91057, 922, 20256, 11, 568, 1071, 11, 1054, 16298, 439, 18939, 617, 311, 387, 16614, 13, 578, 58469, 1288, 387, 3485, 279, 19671, 13, 20449, 414, 3770, 279, 19671, 374, 539, 17339, 520, 682, 13, 358, 617, 21685, 779, 1690, 5039, 1093, 423, 355, 23109, 65082, 11, 6295, 70, 32669, 13, 8442, 994, 4423, 374, 5906, 30998, 2370, 449, 4423, 775, 11, 358, 636, 10284, 19021, 449, 1124, 13, 3277, 584, 3552, 264, 1501, 11, 584, 1288, 6227, 584, 527, 3815, 433, 369, 1274, 889, 527, 10307, 279, 1501, 13, 1442, 4423, 374, 1694, 78913, 11, 1243, 499, 617, 311, 387, 1070, 369, 279, 1732, 1694, 78913, 13, 2100, 11, 422, 389, 6295, 70, 32669, 11, 499, 1518, 757, 74150, 304, 264, 3738, 1648, 11, 433, 374, 1606, 4920, 279, 6237, 2288, 1790, 706, 7077, 323, 358, 617, 311, 14085, 13, 578, 1501, 374, 389, 12707, 11, 779, 499, 649, 1431, 1501, 279, 3169, 315, 272, 1892, 4339, 814, 1005, 477, 279, 1648, 814, 3137, 520, 3115, 13, 2100, 11, 520, 3115, 1274, 617, 6612, 430, 358, 617, 927, 3007, 291, 719, 433, 374, 2646, 1093, 430, 13, 1102, 706, 2744, 1027, 430, 1193, 1306, 814, 5425, 682, 13693, 315, 3451, 14176, 83, 373, 101747, 529, 430, 358, 14085, 279, 1648, 358, 656, 13, 358, 3137, 311, 1124, 3892, 3115, 1603, 358, 21327, 1022, 49216, 17691, 1543, 1243, 6222, 1268, 1063, 3293, 6295, 70, 32669, 75524, 617, 1027, 653, 66886, 13, 1054, 40, 1097, 279, 3552, 315, 430, 3838, 13, 2435, 527, 5108, 311, 856, 3838, 13, 358, 1097, 539, 872, 3070, 4562, 13, 25215, 1097, 358, 872, 11326, 477, 12717, 13, 9843, 264, 1418, 358, 9229, 433, 11, 539, 1120, 9229, 433, 11, 358, 656, 279, 1314, 3245, 13, 2100, 358, 14085, 430, 1648, 11, 719, 1306, 264, 2478, 18243, 11, 358, 656, 636, 1203, 311, 4725, 13, 358, 14085, 13, 358, 3371, 1124, 13, 358, 6381, 433, 13, 358, 1541, 1431, 617, 4205, 4443, 2403, 1124, 13, 8155, 5743, 315, 15956, 11, 75524, 1781, 814, 1440, 1148, 814, 617, 311, 656, 304, 279, 3838, 13, 2435, 1288, 3619, 430, 3131, 814, 527, 704, 315, 279, 3838, 11, 19093, 304, 279, 4632, 5064, 6944, 311, 990, 449, 4423, 889, 374, 43658, 11, 3958, 92139, 291, 323, 653, 66886, 2476, 279, 12360, 20536, 13, 128001, 128000, 3957, 420, 2027, 3477, 6928, 30, 11106, 25, 36416, 7839, 10506, 25, 1115, 11325, 574, 264, 8352, 13, 1102, 374, 1633, 34147, 323, 374, 264, 1695, 45166, 2373, 315, 10423, 596, 386, 1130, 6392, 13, 1442, 499, 527, 264, 8571, 11, 499, 3358, 1093, 420, 832, 13, 22559, 512, 16533, 512, 9642, 128001, 128000, 2261, 51454, 527, 33155, 3779, 311, 3691, 304, 2015, 311, 21813, 11, 12745, 323, 70236, 3691, 13, 5046, 3388, 11, 1070, 527, 5933, 85286, 1093, 6681, 2265, 13935, 11, 47205, 323, 12290, 11, 719, 1070, 527, 1063, 21075, 85286, 2288, 13, 23674, 11, 1070, 527, 85286, 13893, 11660, 369, 1057, 2890, 323, 527, 311, 387, 1511, 449, 20020, 323, 1193, 304, 18859, 311, 279, 1510, 14640, 13, 4452, 11, 1455, 315, 279, 85286, 527, 539, 11660, 520, 682, 13, 3161, 279, 13076, 14110, 11, 64338, 10648, 574, 12207, 7319, 5042, 1606, 85286, 7431, 279, 1005, 315, 23917, 14293, 304, 3691, 5788, 3339, 779, 11, 369, 2937, 11, 1063, 4595, 315, 3691, 2561, 6957, 279, 4459, 1060, 323, 539, 1120, 3280, 750, 13, 25563, 5788, 2085, 85286, 374, 87212, 481, 3432, 11, 37318, 1524, 279, 779, 19434, 42688, 64567, 5727, 64338, 11, 719, 433, 1253, 539, 6782, 33155, 1093, 21075, 71182, 11, 27230, 11, 5370, 21075, 10437, 18724, 11, 1685, 79629, 477, 47697, 7916, 388, 13, 37211, 5848, 3691, 5788, 6276, 279, 1005, 315, 1193, 2212, 33517, 85286, 304, 12976, 311, 2380, 7895, 6484, 13, 2905, 2740, 11, 279, 810, 15590, 3691, 374, 11, 279, 810, 85286, 374, 433, 4461, 311, 617, 13, 15636, 11, 433, 374, 1888, 311, 8343, 7878, 3691, 13, 7357, 3691, 2027, 1288, 617, 264, 2867, 2262, 18489, 779, 584, 1436, 1440, 7041, 1148, 584, 2231, 304, 1057, 2547, 13, 35053, 11, 8661, 11909, 617, 1766, 264, 1648, 1268, 311, 22118, 420, 3575, 1389, 555, 18991, 16068, 449, 439, 25655, 12197, 439, 3284, 11, 779, 311, 1304, 433, 20781, 9621, 477, 34898, 311, 1455, 315, 279, 1274, 13, 2758, 51454, 54350, 25, 1685, 79629, 11, 294, 9891, 11, 991, 14630, 12099, 11, 81115, 11, 270, 9890, 388, 11, 27276, 12509, 11, 342, 6427, 13307, 11, 13935, 40242, 11, 7294, 272, 1802, 13307, 11, 33969, 323, 58998, 35965, 11, 54494, 488, 13307, 11, 10437, 18724, 11, 47697, 7916, 388, 11, 2840, 6795, 13307, 11, 32257, 70210, 2101, 323, 98622, 13307, 11, 20415, 2442, 35320, 13307, 11, 2653, 6147, 13307, 11, 12018, 6605, 8479, 11, 2047, 78241, 45612, 11, 47697, 287, 13307, 11, 56067, 323, 5616, 3521, 48747, 304, 3691, 5788, 1920, 13, 9062, 64338, 374, 12893, 264, 5016, 469, 1396, 369, 8831, 19812, 315, 85286, 13, 7972, 3629, 29243, 85286, 311, 5370, 19338, 11, 1455, 3629, 57596, 25481, 13, 16782, 11, 279, 1455, 21420, 5353, 315, 57596, 25481, 374, 315, 10065, 6371, 11, 602, 1770, 13, 28896, 11, 4856, 1109, 85286, 11, 1524, 3582, 1063, 315, 1124, 1253, 3063, 311, 459, 57596, 13010, 13, 44493, 11, 279, 1455, 4279, 3691, 58742, 527, 1884, 311, 1206, 4214, 11, 559, 6417, 1725, 323, 90177, 902, 374, 3249, 1521, 14293, 1288, 387, 27073, 449, 279, 54711, 6666, 11, 304, 279, 2911, 753, 10173, 304, 4040, 13, 60998, 11, 433, 374, 1888, 311, 8343, 439, 810, 439, 7878, 3691, 439, 3284, 11, 1606, 499, 690, 9651, 4018, 279, 4441, 315, 85286, 1139, 701, 47120, 311, 264, 8187, 13, 1628, 1541, 1431, 10894, 11, 10772, 701, 21644, 520, 2162, 439, 1790, 439, 3284, 11, 5766, 12096, 19679, 3691, 1093, 5945, 1725, 323, 5370, 91070, 11, 28473, 323, 4528, 13, 128001 ]
[ -100, 33, 14447, 12360, 69743, 25273, 13739, 922, 10007, 7904, 9698, 11, 279, 12939, 315, 1054, 18204, 2191, 12631, 498, 36845, 220, 18, 11, 323, 810, 627, 17691, 1543, 25273, 690, 3552, 358, 38615, 23488, 220, 2366, 17, 13, 320, 10682, 25, 8909, 5863, 921, 675, 4355, 340, 33, 14447, 58347, 69743, 25273, 389, 7159, 12570, 922, 7363, 6890, 12631, 323, 813, 14827, 5818, 449, 23683, 30885, 19262, 561, 277, 921, 404, 53191, 2176, 10176, 13, 1283, 1101, 15243, 922, 279, 1205, 369, 45080, 12631, 311, 617, 3451, 18204, 2191, 529, 627, 17691, 1543, 6222, 430, 568, 374, 3815, 264, 3361, 3560, 304, 921, 404, 53191, 2176, 10176, 753, 1828, 4632, 25891, 4359, 23881, 13, 1283, 1071, 11, 1054, 2181, 706, 1027, 264, 11364, 3217, 3318, 449, 1461, 13, 358, 617, 3967, 921, 404, 84, 12471, 84, 369, 279, 22807, 892, 13, 1283, 706, 1101, 1027, 264, 4333, 13, 5414, 4538, 320, 64948, 4969, 276, 8, 374, 1101, 264, 4333, 13, 1283, 706, 2884, 1778, 264, 14964, 2683, 304, 432, 8268, 13, 358, 1120, 37287, 1461, 389, 813, 15553, 11, 323, 389, 279, 2450, 315, 813, 4632, 13, 358, 1097, 1633, 12691, 315, 1461, 13, 1102, 11321, 779, 1695, 430, 568, 374, 3815, 779, 1664, 13, 2030, 358, 5895, 3249, 1057, 12631, 527, 539, 3815, 779, 1664, 304, 279, 10007, 13, 11205, 12631, 527, 3815, 779, 1664, 1618, 49216, 791, 12360, 574, 7556, 520, 279, 358, 38615, 23488, 220, 2366, 17, 3577, 10017, 5762, 304, 35812, 13, 578, 23146, 734, 690, 1935, 2035, 304, 71028, 10951, 304, 31229, 73879, 389, 3297, 220, 508, 323, 220, 1691, 627, 16397, 279, 1567, 11, 69743, 25273, 20654, 4147, 279, 1205, 311, 1304, 1054, 18204, 2191, 12631, 11453, 1283, 1071, 11, 1054, 7009, 320, 1820, 10007, 7904, 4632, 5064, 8, 617, 2744, 11846, 304, 12084, 2191, 11, 779, 617, 584, 13, 3277, 499, 2586, 704, 315, 279, 34596, 11, 499, 1205, 12084, 2191, 13, 5810, 11, 10980, 505, 832, 477, 1403, 1274, 11, 584, 527, 539, 3339, 12084, 2191, 12631, 13, 1226, 1288, 17460, 3339, 1884, 8294, 1109, 2324, 12084, 2191, 12631, 13, 358, 1097, 3815, 430, 1193, 13, 4452, 11, 358, 2733, 1521, 2919, 11, 1274, 617, 3719, 7155, 323, 1781, 358, 617, 3719, 63692, 15433, 49216, 984, 14202, 19183, 765, 17691, 1543, 25273, 45695, 10658, 369, 921, 404, 53191, 2176, 10176, 753, 4359, 23881, 11, 1518, 9364, 198, 2118, 31328, 2191, 2744, 4375, 11, 439, 1070, 374, 264, 3169, 315, 4667, 11, 323, 430, 753, 1633, 3062, 369, 320, 66, 483, 3427, 388, 570, 1226, 4070, 1047, 420, 3645, 505, 8375, 318, 12278, 4234, 753, 3115, 11, 719, 1457, 814, 320, 67584, 7904, 63203, 8, 527, 4737, 433, 311, 279, 1828, 2237, 13, 25744, 2768, 1070, 320, 67584, 6890, 8, 374, 6908, 11, 323, 1457, 358, 1097, 1101, 3318, 449, 921, 404, 84, 12471, 84, 13, 2435, 617, 264, 2204, 1742, 315, 12631, 11, 323, 433, 374, 1633, 6555, 13, 1442, 499, 1518, 423, 370, 526, 70, 4101, 11, 393, 42029, 735, 5893, 276, 1323, 1037, 433, 304, 23683, 30885, 13, 67710, 2288, 6575, 1523, 10007, 13, 4497, 1778, 12631, 1288, 387, 1903, 13, 4800, 584, 527, 3815, 41536, 6151, 86844, 41536, 6151, 7923, 86, 8115, 13, 15483, 264, 892, 1288, 2586, 430, 814, 59155, 1057, 12631, 1578, 13, 763, 279, 10007, 11, 279, 16483, 527, 1633, 2653, 3318, 13, 2435, 1304, 12631, 389, 6366, 19476, 13, 7570, 994, 814, 1304, 2678, 12631, 11, 1274, 733, 323, 1518, 1124, 13, 358, 1781, 11, 1618, 1148, 706, 7077, 374, 11, 1274, 1781, 6890, 374, 505, 356, 1386, 63654, 320, 258, 4987, 35812, 8, 311, 1628, 1964, 72, 320, 2008, 60159, 35812, 8, 1193, 13, 358, 11, 4869, 11, 1781, 20412, 592, 276, 8638, 1306, 356, 1386, 63654, 323, 1628, 1964, 72, 13, 34459, 20412, 592, 276, 374, 1828, 311, 279, 40106, 14242, 304, 17366, 969, 6460, 320, 2008, 60159, 35812, 570, 3092, 12631, 527, 1101, 369, 1124, 13, 2435, 2586, 449, 264, 1695, 1984, 2288, 13, 4740, 10307, 264, 4632, 11, 1274, 1288, 617, 810, 6680, 53226, 304, 1124, 2476, 279, 12360, 3779, 627, 17691, 1543, 1101, 6222, 430, 568, 32838, 10307, 10007, 7904, 12631, 11, 719, 568, 706, 539, 1027, 9076, 832, 3686, 13, 1283, 1071, 11, 1054, 4599, 814, 2586, 311, 757, 11, 814, 1541, 1431, 2586, 311, 757, 369, 264, 44883, 477, 23683, 30885, 4632, 13, 2435, 2586, 311, 757, 369, 45080, 49216, 17691, 1543, 25273, 690, 387, 3970, 1828, 304, 816, 18077, 753, 36845, 220, 18, 13, 62022, 922, 279, 5818, 11, 279, 12360, 1071, 11, 1054, 1687, 617, 20037, 709, 36845, 220, 18, 13, 4427, 9660, 527, 2163, 11, 25270, 29727, 13, 18715, 11, 584, 617, 20037, 709, 36845, 220, 18, 49216, 17691, 1543, 4726, 12570, 922, 813, 95156, 304, 37617, 432, 3178, 71, 25273, 11, 3842, 37488, 323, 18682, 11755, 26367, 3178, 606, 753, 8092, 276, 13, 1283, 1071, 11, 1054, 9642, 11, 358, 1097, 3815, 264, 3361, 11341, 304, 1443, 15464, 432, 3178, 71, 753, 8092, 276, 323, 568, 374, 3815, 264, 3361, 11341, 304, 856, 4632, 2029, 1952, 1694, 4691, 422, 568, 374, 1101, 3815, 264, 95156, 304, 362, 309, 404, 25273, 753, 5034, 278, 27992, 921, 723, 4317, 11, 69743, 41803, 1570, 1071, 11, 1054, 644, 5034, 278, 27992, 921, 723, 4317, 11, 362, 309, 404, 374, 279, 1925, 12084, 13, 1283, 374, 3361, 49216, 4599, 4691, 422, 568, 690, 6917, 304, 459, 8775, 51, 2447, 439, 1455, 315, 813, 26081, 1093, 41757, 352, 6168, 5010, 11, 16762, 939, 352, 41240, 323, 3885, 617, 1903, 872, 8775, 51, 17755, 11, 69743, 1071, 430, 4400, 7185, 706, 1027, 9076, 311, 1461, 3686, 719, 568, 374, 17843, 264, 1501, 13, 1283, 1071, 11, 1054, 40, 9167, 1431, 2751, 4205, 1093, 430, 3686, 13, 7570, 422, 433, 4131, 11, 433, 706, 311, 387, 2466, 323, 13548, 11, 6062, 1070, 374, 912, 2523, 13, 2030, 13835, 11, 358, 1097, 17843, 369, 8775, 51, 13, 1102, 374, 264, 7434, 430, 584, 527, 3967, 369, 11, 2555, 1695, 49216, 17691, 1543, 25273, 690, 387, 20256, 358, 38615, 23488, 220, 2366, 17, 13, 1283, 690, 1101, 2804, 520, 279, 23146, 734, 627, 91057, 922, 20256, 11, 568, 1071, 11, 1054, 16298, 439, 18939, 617, 311, 387, 16614, 13, 578, 58469, 1288, 387, 3485, 279, 19671, 13, 20449, 414, 3770, 279, 19671, 374, 539, 17339, 520, 682, 13, 358, 617, 21685, 779, 1690, 5039, 1093, 423, 355, 23109, 65082, 11, 6295, 70, 32669, 13, 8442, 994, 4423, 374, 5906, 30998, 2370, 449, 4423, 775, 11, 358, 636, 10284, 19021, 449, 1124, 13, 3277, 584, 3552, 264, 1501, 11, 584, 1288, 6227, 584, 527, 3815, 433, 369, 1274, 889, 527, 10307, 279, 1501, 13, 1442, 4423, 374, 1694, 78913, 11, 1243, 499, 617, 311, 387, 1070, 369, 279, 1732, 1694, 78913, 13, 2100, 11, 422, 389, 6295, 70, 32669, 11, 499, 1518, 757, 74150, 304, 264, 3738, 1648, 11, 433, 374, 1606, 4920, 279, 6237, 2288, 1790, 706, 7077, 323, 358, 617, 311, 14085, 13, 578, 1501, 374, 389, 12707, 11, 779, 499, 649, 1431, 1501, 279, 3169, 315, 272, 1892, 4339, 814, 1005, 477, 279, 1648, 814, 3137, 520, 3115, 13, 2100, 11, 520, 3115, 1274, 617, 6612, 430, 358, 617, 927, 3007, 291, 719, 433, 374, 2646, 1093, 430, 13, 1102, 706, 2744, 1027, 430, 1193, 1306, 814, 5425, 682, 13693, 315, 3451, 14176, 83, 373, 101747, 529, 430, 358, 14085, 279, 1648, 358, 656, 13, 358, 3137, 311, 1124, 3892, 3115, 1603, 358, 21327, 1022, 49216, 17691, 1543, 1243, 6222, 1268, 1063, 3293, 6295, 70, 32669, 75524, 617, 1027, 653, 66886, 13, 1054, 40, 1097, 279, 3552, 315, 430, 3838, 13, 2435, 527, 5108, 311, 856, 3838, 13, 358, 1097, 539, 872, 3070, 4562, 13, 25215, 1097, 358, 872, 11326, 477, 12717, 13, 9843, 264, 1418, 358, 9229, 433, 11, 539, 1120, 9229, 433, 11, 358, 656, 279, 1314, 3245, 13, 2100, 358, 14085, 430, 1648, 11, 719, 1306, 264, 2478, 18243, 11, 358, 656, 636, 1203, 311, 4725, 13, 358, 14085, 13, 358, 3371, 1124, 13, 358, 6381, 433, 13, 358, 1541, 1431, 617, 4205, 4443, 2403, 1124, 13, 8155, 5743, 315, 15956, 11, 75524, 1781, 814, 1440, 1148, 814, 617, 311, 656, 304, 279, 3838, 13, 2435, 1288, 3619, 430, 3131, 814, 527, 704, 315, 279, 3838, 11, 19093, 304, 279, 4632, 5064, 6944, 311, 990, 449, 4423, 889, 374, 43658, 11, 3958, 92139, 291, 323, 653, 66886, 2476, 279, 12360, 20536, 13, 128001, -100, 3957, 420, 2027, 3477, 6928, 30, 11106, 25, 36416, 7839, 10506, 25, 1115, 11325, 574, 264, 8352, 13, 1102, 374, 1633, 34147, 323, 374, 264, 1695, 45166, 2373, 315, 10423, 596, 386, 1130, 6392, 13, 1442, 499, 527, 264, 8571, 11, 499, 3358, 1093, 420, 832, 13, 22559, 512, 16533, 512, 9642, 128001, -100, 2261, 51454, 527, 33155, 3779, 311, 3691, 304, 2015, 311, 21813, 11, 12745, 323, 70236, 3691, 13, 5046, 3388, 11, 1070, 527, 5933, 85286, 1093, 6681, 2265, 13935, 11, 47205, 323, 12290, 11, 719, 1070, 527, 1063, 21075, 85286, 2288, 13, 23674, 11, 1070, 527, 85286, 13893, 11660, 369, 1057, 2890, 323, 527, 311, 387, 1511, 449, 20020, 323, 1193, 304, 18859, 311, 279, 1510, 14640, 13, 4452, 11, 1455, 315, 279, 85286, 527, 539, 11660, 520, 682, 13, 3161, 279, 13076, 14110, 11, 64338, 10648, 574, 12207, 7319, 5042, 1606, 85286, 7431, 279, 1005, 315, 23917, 14293, 304, 3691, 5788, 3339, 779, 11, 369, 2937, 11, 1063, 4595, 315, 3691, 2561, 6957, 279, 4459, 1060, 323, 539, 1120, 3280, 750, 13, 25563, 5788, 2085, 85286, 374, 87212, 481, 3432, 11, 37318, 1524, 279, 779, 19434, 42688, 64567, 5727, 64338, 11, 719, 433, 1253, 539, 6782, 33155, 1093, 21075, 71182, 11, 27230, 11, 5370, 21075, 10437, 18724, 11, 1685, 79629, 477, 47697, 7916, 388, 13, 37211, 5848, 3691, 5788, 6276, 279, 1005, 315, 1193, 2212, 33517, 85286, 304, 12976, 311, 2380, 7895, 6484, 13, 2905, 2740, 11, 279, 810, 15590, 3691, 374, 11, 279, 810, 85286, 374, 433, 4461, 311, 617, 13, 15636, 11, 433, 374, 1888, 311, 8343, 7878, 3691, 13, 7357, 3691, 2027, 1288, 617, 264, 2867, 2262, 18489, 779, 584, 1436, 1440, 7041, 1148, 584, 2231, 304, 1057, 2547, 13, 35053, 11, 8661, 11909, 617, 1766, 264, 1648, 1268, 311, 22118, 420, 3575, 1389, 555, 18991, 16068, 449, 439, 25655, 12197, 439, 3284, 11, 779, 311, 1304, 433, 20781, 9621, 477, 34898, 311, 1455, 315, 279, 1274, 13, 2758, 51454, 54350, 25, 1685, 79629, 11, 294, 9891, 11, 991, 14630, 12099, 11, 81115, 11, 270, 9890, 388, 11, 27276, 12509, 11, 342, 6427, 13307, 11, 13935, 40242, 11, 7294, 272, 1802, 13307, 11, 33969, 323, 58998, 35965, 11, 54494, 488, 13307, 11, 10437, 18724, 11, 47697, 7916, 388, 11, 2840, 6795, 13307, 11, 32257, 70210, 2101, 323, 98622, 13307, 11, 20415, 2442, 35320, 13307, 11, 2653, 6147, 13307, 11, 12018, 6605, 8479, 11, 2047, 78241, 45612, 11, 47697, 287, 13307, 11, 56067, 323, 5616, 3521, 48747, 304, 3691, 5788, 1920, 13, 9062, 64338, 374, 12893, 264, 5016, 469, 1396, 369, 8831, 19812, 315, 85286, 13, 7972, 3629, 29243, 85286, 311, 5370, 19338, 11, 1455, 3629, 57596, 25481, 13, 16782, 11, 279, 1455, 21420, 5353, 315, 57596, 25481, 374, 315, 10065, 6371, 11, 602, 1770, 13, 28896, 11, 4856, 1109, 85286, 11, 1524, 3582, 1063, 315, 1124, 1253, 3063, 311, 459, 57596, 13010, 13, 44493, 11, 279, 1455, 4279, 3691, 58742, 527, 1884, 311, 1206, 4214, 11, 559, 6417, 1725, 323, 90177, 902, 374, 3249, 1521, 14293, 1288, 387, 27073, 449, 279, 54711, 6666, 11, 304, 279, 2911, 753, 10173, 304, 4040, 13, 60998, 11, 433, 374, 1888, 311, 8343, 439, 810, 439, 7878, 3691, 439, 3284, 11, 1606, 499, 690, 9651, 4018, 279, 4441, 315, 85286, 1139, 701, 47120, 311, 264, 8187, 13, 1628, 1541, 1431, 10894, 11, 10772, 701, 21644, 520, 2162, 439, 1790, 439, 3284, 11, 5766, 12096, 19679, 3691, 1093, 5945, 1725, 323, 5370, 91070, 11, 28473, 323, 4528, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527 ]
[ 128000, 81696, 40018, 37023, 198, 2028, 3388, 374, 6319, 369, 4236, 889, 617, 7946, 8308, 279, 10886, 369, 77543, 358, 13, 2052, 4236, 527, 3685, 311, 11322, 279, 40018, 10886, 13, 578, 3388, 5764, 11, 4315, 1023, 2574, 11, 6012, 315, 53584, 12678, 11, 54033, 263, 24264, 12135, 11, 323, 33811, 311, 9541, 31342, 13, 19331, 315, 42535, 690, 2997, 14646, 78259, 11, 1403, 26005, 78259, 11, 25636, 78259, 11, 16580, 78259, 11, 47976, 292, 5528, 11, 323, 36870, 6105, 13, 362, 53722, 4500, 315, 16287, 11311, 690, 387, 21190, 13, 2314, 59923, 323, 42779, 20414, 311, 11311, 439, 1664, 439, 37910, 535, 3944, 72, 13795, 5528, 1288, 387, 1511, 627, 2028, 743, 315, 10886, 5764, 25679, 389, 1403, 12, 323, 2380, 33520, 33811, 7512, 11, 16580, 323, 18475, 278, 17484, 11, 323, 279, 1005, 315, 53584, 4211, 311, 11886, 5435, 13, 362, 8205, 315, 8522, 323, 1063, 4689, 3575, 99246, 12823, 11, 2737, 47976, 292, 7512, 11, 1288, 387, 1511, 311, 4305, 1521, 10886, 13, 32459, 3046, 11, 19002, 11, 4876, 287, 30519, 320, 4539, 287, 5935, 3046, 477, 6500, 4876, 287, 1675, 42391, 705, 8915, 17484, 3241, 11, 323, 1023, 8475, 5557, 7526, 690, 387, 1511, 311, 7945, 304, 12917, 323, 6975, 13, 5884, 5557, 430, 690, 18885, 5575, 6975, 1288, 387, 1511, 627, 26197, 287, 11, 39333, 11, 323, 15583, 811, 198, 38, 13, 16, 578, 5575, 690, 9429, 323, 11913, 279, 32939, 315, 264, 20406, 5811, 31706, 315, 264, 743, 315, 35022, 323, 264, 17102, 13, 1115, 690, 2997, 198, 64, 8, 25607, 279, 95340, 11, 29049, 11, 323, 6155, 31515, 3486, 315, 264, 35787, 5224, 280, 65, 8, 67371, 264, 2875, 36870, 5811, 1139, 36396, 1376, 280, 66, 8, 1701, 650, 2734, 47287, 311, 4097, 743, 12135, 26, 323, 198, 67, 8, 1701, 37910, 535, 33811, 627, 38, 13, 17, 578, 5575, 690, 1005, 279, 12135, 1990, 27030, 14454, 555, 1403, 5238, 4018, 555, 264, 1380, 3078, 278, 311, 198, 64, 8, 8417, 3508, 1403, 5238, 527, 15638, 280, 65, 8, 10356, 279, 15638, 2191, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 26, 323, 198, 66, 8, 11886, 1972, 31184, 5435, 16239, 27030, 14454, 994, 15638, 5238, 527, 4018, 555, 264, 1380, 3078, 278, 627, 38, 13, 18, 578, 5575, 690, 1005, 72829, 22676, 44713, 11, 2737, 6500, 3241, 11, 96939, 11, 323, 16580, 5528, 11, 311, 11886, 5435, 16239, 46220, 323, 18475, 13, 1115, 690, 2997, 198, 64, 8, 24834, 323, 1701, 55179, 369, 9455, 6138, 11, 83063, 11, 323, 31332, 280, 65, 8, 19486, 31332, 311, 10356, 323, 8417, 3508, 5238, 527, 15638, 477, 77933, 280, 66, 8, 24834, 46220, 323, 26679, 3508, 264, 7216, 374, 55443, 449, 5201, 311, 264, 1584, 477, 264, 1486, 26, 323, 198, 67, 8, 26679, 3508, 264, 7216, 706, 1027, 25548, 11, 27000, 11, 46720, 11, 477, 19371, 660, 11, 1701, 16580, 5528, 627, 38, 13, 19, 578, 5575, 690, 9429, 323, 9541, 279, 96939, 315, 198, 64, 8, 264, 1584, 10449, 31269, 11942, 311, 264, 2728, 1584, 10449, 280, 65, 8, 279, 77933, 15184, 1279, 315, 264, 1584, 10449, 280, 66, 8, 264, 77933, 311, 264, 2728, 1584, 505, 264, 1486, 539, 389, 279, 1584, 280, 67, 8, 264, 77933, 311, 264, 2728, 1584, 520, 264, 2728, 1486, 389, 279, 1584, 280, 68, 8, 279, 15184, 1279, 315, 264, 2728, 9392, 345, 69, 8, 459, 9392, 31269, 11942, 311, 264, 2728, 9392, 26, 323, 198, 70, 8, 264, 1584, 15638, 311, 264, 2728, 1584, 1555, 264, 1486, 539, 389, 279, 2728, 1584, 627, 38, 13, 20, 578, 5575, 11, 2728, 2038, 18815, 279, 29416, 315, 11314, 323, 5255, 11193, 315, 27030, 304, 43546, 11, 690, 198, 64, 8, 2015, 279, 11314, 555, 3160, 11, 2728, 279, 9392, 11193, 280, 65, 8, 2015, 279, 27030, 555, 8547, 6767, 11, 2728, 279, 3185, 29416, 280, 66, 8, 8417, 3508, 264, 22217, 6866, 26, 323, 198, 67, 8, 8417, 279, 2134, 304, 902, 279, 3160, 315, 279, 4948, 3185, 2011, 10457, 627, 9673, 19476, 690, 387, 6646, 304, 279, 2317, 315, 1972, 31184, 15082, 627, 38, 13, 21, 578, 5575, 11, 2728, 2038, 304, 279, 1376, 315, 264, 7216, 477, 5224, 11, 690, 12391, 1403, 43546, 527, 31269, 11942, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 627, 38, 13, 22, 578, 5575, 11, 2728, 2038, 304, 279, 1376, 315, 264, 7216, 477, 5224, 11, 690, 12391, 1403, 43546, 527, 4528, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 627, 38, 13, 23, 578, 5575, 690, 11886, 1972, 31184, 5435, 16239, 1314, 43546, 555, 1701, 279, 5468, 96462, 46295, 578, 13475, 323, 1202, 95340, 11, 6012, 315, 3361, 1314, 43546, 11, 323, 1314, 22217, 54033, 263, 7133, 627, 39264, 44974, 323, 16741, 645, 198, 38, 13, 24, 578, 5575, 690, 10356, 17910, 315, 30236, 91895, 1147, 323, 1005, 6012, 315, 30236, 91895, 1147, 311, 11886, 1972, 31184, 5435, 627, 38, 13, 605, 578, 5575, 690, 11886, 1972, 31184, 5435, 16239, 27030, 315, 69259, 627, 38, 13, 806, 578, 5575, 690, 1005, 27030, 11, 67850, 11, 56759, 11, 22636, 812, 11, 323, 5819, 1821, 311, 198, 64, 8, 19874, 11, 10356, 11, 323, 3881, 6012, 315, 26432, 280, 65, 8, 11886, 1972, 31184, 5435, 16239, 6012, 315, 26432, 26, 323, 198, 66, 8, 1505, 15952, 29416, 323, 5789, 315, 26593, 304, 26432, 627, 38, 13, 717, 578, 5575, 11, 2728, 279, 14259, 315, 279, 4219, 315, 264, 12960, 323, 264, 1486, 389, 279, 12960, 11, 690, 3350, 279, 24524, 315, 279, 12960, 627, 38, 13, 1032, 578, 5575, 690, 1005, 55179, 369, 7479, 3158, 323, 8286, 315, 2380, 33520, 6302, 311, 11886, 1972, 31184, 5435, 627, 38, 13, 975, 578, 5575, 690, 1005, 4528, 53584, 6302, 304, 1403, 12, 477, 2380, 1773, 318, 4769, 311, 198, 64, 8, 9616, 42338, 1990, 3185, 29416, 11, 824, 55336, 11, 5789, 11, 323, 27378, 280, 65, 8, 8417, 1268, 4442, 304, 832, 477, 810, 15696, 315, 459, 1665, 7958, 3158, 323, 5255, 8286, 315, 279, 1665, 280, 66, 8, 8417, 1268, 4442, 304, 3158, 323, 5255, 8286, 315, 459, 1665, 7958, 832, 477, 810, 15696, 315, 279, 1665, 26, 323, 198, 67, 8, 11886, 1972, 31184, 5435, 922, 4528, 53584, 6302, 128001, 128000, 1688, 279, 842, 315, 279, 1938, 11, 994, 682, 279, 4819, 527, 4036, 11, 912, 1023, 1912, 477, 7471, 374, 3411, 1306, 279, 1888, 12034, 315, 279, 20849, 52996, 311, 279, 13112, 477, 5845, 315, 27809, 87861, 627, 791, 7580, 315, 7008, 6460, 20849, 79289, 6, 10229, 374, 311, 12192, 279, 4689, 23460, 315, 11040, 7241, 27291, 15871, 304, 21193, 323, 279, 77331, 41021, 627, 8140, 9131, 374, 311, 12192, 279, 4689, 23460, 315, 1057, 24204, 3697, 555, 8405, 264, 32100, 2592, 315, 5064, 2038, 11, 14393, 24204, 12034, 304, 3109, 19812, 323, 13543, 11, 47594, 24204, 323, 9548, 6873, 11, 12899, 77109, 24204, 14, 62014, 4398, 323, 10209, 3230, 2626, 14228, 3600, 11, 902, 18885, 279, 2450, 323, 63336, 315, 24204, 17384, 13, 128001 ]
[ -100, 81696, 40018, 37023, 198, 2028, 3388, 374, 6319, 369, 4236, 889, 617, 7946, 8308, 279, 10886, 369, 77543, 358, 13, 2052, 4236, 527, 3685, 311, 11322, 279, 40018, 10886, 13, 578, 3388, 5764, 11, 4315, 1023, 2574, 11, 6012, 315, 53584, 12678, 11, 54033, 263, 24264, 12135, 11, 323, 33811, 311, 9541, 31342, 13, 19331, 315, 42535, 690, 2997, 14646, 78259, 11, 1403, 26005, 78259, 11, 25636, 78259, 11, 16580, 78259, 11, 47976, 292, 5528, 11, 323, 36870, 6105, 13, 362, 53722, 4500, 315, 16287, 11311, 690, 387, 21190, 13, 2314, 59923, 323, 42779, 20414, 311, 11311, 439, 1664, 439, 37910, 535, 3944, 72, 13795, 5528, 1288, 387, 1511, 627, 2028, 743, 315, 10886, 5764, 25679, 389, 1403, 12, 323, 2380, 33520, 33811, 7512, 11, 16580, 323, 18475, 278, 17484, 11, 323, 279, 1005, 315, 53584, 4211, 311, 11886, 5435, 13, 362, 8205, 315, 8522, 323, 1063, 4689, 3575, 99246, 12823, 11, 2737, 47976, 292, 7512, 11, 1288, 387, 1511, 311, 4305, 1521, 10886, 13, 32459, 3046, 11, 19002, 11, 4876, 287, 30519, 320, 4539, 287, 5935, 3046, 477, 6500, 4876, 287, 1675, 42391, 705, 8915, 17484, 3241, 11, 323, 1023, 8475, 5557, 7526, 690, 387, 1511, 311, 7945, 304, 12917, 323, 6975, 13, 5884, 5557, 430, 690, 18885, 5575, 6975, 1288, 387, 1511, 627, 26197, 287, 11, 39333, 11, 323, 15583, 811, 198, 38, 13, 16, 578, 5575, 690, 9429, 323, 11913, 279, 32939, 315, 264, 20406, 5811, 31706, 315, 264, 743, 315, 35022, 323, 264, 17102, 13, 1115, 690, 2997, 198, 64, 8, 25607, 279, 95340, 11, 29049, 11, 323, 6155, 31515, 3486, 315, 264, 35787, 5224, 280, 65, 8, 67371, 264, 2875, 36870, 5811, 1139, 36396, 1376, 280, 66, 8, 1701, 650, 2734, 47287, 311, 4097, 743, 12135, 26, 323, 198, 67, 8, 1701, 37910, 535, 33811, 627, 38, 13, 17, 578, 5575, 690, 1005, 279, 12135, 1990, 27030, 14454, 555, 1403, 5238, 4018, 555, 264, 1380, 3078, 278, 311, 198, 64, 8, 8417, 3508, 1403, 5238, 527, 15638, 280, 65, 8, 10356, 279, 15638, 2191, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 26, 323, 198, 66, 8, 11886, 1972, 31184, 5435, 16239, 27030, 14454, 994, 15638, 5238, 527, 4018, 555, 264, 1380, 3078, 278, 627, 38, 13, 18, 578, 5575, 690, 1005, 72829, 22676, 44713, 11, 2737, 6500, 3241, 11, 96939, 11, 323, 16580, 5528, 11, 311, 11886, 5435, 16239, 46220, 323, 18475, 13, 1115, 690, 2997, 198, 64, 8, 24834, 323, 1701, 55179, 369, 9455, 6138, 11, 83063, 11, 323, 31332, 280, 65, 8, 19486, 31332, 311, 10356, 323, 8417, 3508, 5238, 527, 15638, 477, 77933, 280, 66, 8, 24834, 46220, 323, 26679, 3508, 264, 7216, 374, 55443, 449, 5201, 311, 264, 1584, 477, 264, 1486, 26, 323, 198, 67, 8, 26679, 3508, 264, 7216, 706, 1027, 25548, 11, 27000, 11, 46720, 11, 477, 19371, 660, 11, 1701, 16580, 5528, 627, 38, 13, 19, 578, 5575, 690, 9429, 323, 9541, 279, 96939, 315, 198, 64, 8, 264, 1584, 10449, 31269, 11942, 311, 264, 2728, 1584, 10449, 280, 65, 8, 279, 77933, 15184, 1279, 315, 264, 1584, 10449, 280, 66, 8, 264, 77933, 311, 264, 2728, 1584, 505, 264, 1486, 539, 389, 279, 1584, 280, 67, 8, 264, 77933, 311, 264, 2728, 1584, 520, 264, 2728, 1486, 389, 279, 1584, 280, 68, 8, 279, 15184, 1279, 315, 264, 2728, 9392, 345, 69, 8, 459, 9392, 31269, 11942, 311, 264, 2728, 9392, 26, 323, 198, 70, 8, 264, 1584, 15638, 311, 264, 2728, 1584, 1555, 264, 1486, 539, 389, 279, 2728, 1584, 627, 38, 13, 20, 578, 5575, 11, 2728, 2038, 18815, 279, 29416, 315, 11314, 323, 5255, 11193, 315, 27030, 304, 43546, 11, 690, 198, 64, 8, 2015, 279, 11314, 555, 3160, 11, 2728, 279, 9392, 11193, 280, 65, 8, 2015, 279, 27030, 555, 8547, 6767, 11, 2728, 279, 3185, 29416, 280, 66, 8, 8417, 3508, 264, 22217, 6866, 26, 323, 198, 67, 8, 8417, 279, 2134, 304, 902, 279, 3160, 315, 279, 4948, 3185, 2011, 10457, 627, 9673, 19476, 690, 387, 6646, 304, 279, 2317, 315, 1972, 31184, 15082, 627, 38, 13, 21, 578, 5575, 11, 2728, 2038, 304, 279, 1376, 315, 264, 7216, 477, 5224, 11, 690, 12391, 1403, 43546, 527, 31269, 11942, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 627, 38, 13, 22, 578, 5575, 11, 2728, 2038, 304, 279, 1376, 315, 264, 7216, 477, 5224, 11, 690, 12391, 1403, 43546, 527, 4528, 11, 1701, 47976, 292, 323, 16580, 5528, 439, 1664, 439, 37910, 535, 78259, 627, 38, 13, 23, 578, 5575, 690, 11886, 1972, 31184, 5435, 16239, 1314, 43546, 555, 1701, 279, 5468, 96462, 46295, 578, 13475, 323, 1202, 95340, 11, 6012, 315, 3361, 1314, 43546, 11, 323, 1314, 22217, 54033, 263, 7133, 627, 39264, 44974, 323, 16741, 645, 198, 38, 13, 24, 578, 5575, 690, 10356, 17910, 315, 30236, 91895, 1147, 323, 1005, 6012, 315, 30236, 91895, 1147, 311, 11886, 1972, 31184, 5435, 627, 38, 13, 605, 578, 5575, 690, 11886, 1972, 31184, 5435, 16239, 27030, 315, 69259, 627, 38, 13, 806, 578, 5575, 690, 1005, 27030, 11, 67850, 11, 56759, 11, 22636, 812, 11, 323, 5819, 1821, 311, 198, 64, 8, 19874, 11, 10356, 11, 323, 3881, 6012, 315, 26432, 280, 65, 8, 11886, 1972, 31184, 5435, 16239, 6012, 315, 26432, 26, 323, 198, 66, 8, 1505, 15952, 29416, 323, 5789, 315, 26593, 304, 26432, 627, 38, 13, 717, 578, 5575, 11, 2728, 279, 14259, 315, 279, 4219, 315, 264, 12960, 323, 264, 1486, 389, 279, 12960, 11, 690, 3350, 279, 24524, 315, 279, 12960, 627, 38, 13, 1032, 578, 5575, 690, 1005, 55179, 369, 7479, 3158, 323, 8286, 315, 2380, 33520, 6302, 311, 11886, 1972, 31184, 5435, 627, 38, 13, 975, 578, 5575, 690, 1005, 4528, 53584, 6302, 304, 1403, 12, 477, 2380, 1773, 318, 4769, 311, 198, 64, 8, 9616, 42338, 1990, 3185, 29416, 11, 824, 55336, 11, 5789, 11, 323, 27378, 280, 65, 8, 8417, 1268, 4442, 304, 832, 477, 810, 15696, 315, 459, 1665, 7958, 3158, 323, 5255, 8286, 315, 279, 1665, 280, 66, 8, 8417, 1268, 4442, 304, 3158, 323, 5255, 8286, 315, 459, 1665, 7958, 832, 477, 810, 15696, 315, 279, 1665, 26, 323, 198, 67, 8, 11886, 1972, 31184, 5435, 922, 4528, 53584, 6302, 128001, -100, 1688, 279, 842, 315, 279, 1938, 11, 994, 682, 279, 4819, 527, 4036, 11, 912, 1023, 1912, 477, 7471, 374, 3411, 1306, 279, 1888, 12034, 315, 279, 20849, 52996, 311, 279, 13112, 477, 5845, 315, 27809, 87861, 627, 791, 7580, 315, 7008, 6460, 20849, 79289, 6, 10229, 374, 311, 12192, 279, 4689, 23460, 315, 11040, 7241, 27291, 15871, 304, 21193, 323, 279, 77331, 41021, 627, 8140, 9131, 374, 311, 12192, 279, 4689, 23460, 315, 1057, 24204, 3697, 555, 8405, 264, 32100, 2592, 315, 5064, 2038, 11, 14393, 24204, 12034, 304, 3109, 19812, 323, 13543, 11, 47594, 24204, 323, 9548, 6873, 11, 12899, 77109, 24204, 14, 62014, 4398, 323, 10209, 3230, 2626, 14228, 3600, 11, 902, 18885, 279, 2450, 323, 63336, 315, 24204, 17384, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125 ]
[ 128000, 50040, 2487, 100037, 198, 18292, 100037, 320, 269, 89310, 8, 374, 459, 11622, 26225, 34933, 10537, 304, 902, 264, 5679, 596, 25212, 527, 7108, 477, 29852, 13, 1102, 706, 912, 7720, 369, 279, 5679, 323, 649, 5353, 15690, 5674, 627, 18292, 100037, 374, 12079, 304, 279, 6560, 198, 18292, 100037, 374, 12079, 304, 9635, 323, 23782, 11, 1234, 11360, 220, 20, 315, 279, 21995, 66187, 3298, 220, 1049, 21, 13, 4452, 11, 279, 6725, 374, 2103, 5897, 304, 1023, 5596, 315, 279, 1917, 11, 1778, 439, 279, 7427, 323, 8524, 13, 2684, 596, 264, 8850, 430, 810, 323, 810, 12875, 527, 1694, 3288, 22917, 369, 100037, 11, 477, 1694, 15075, 323, 25973, 505, 25355, 3515, 2736, 1047, 279, 26175, 10537, 627, 2181, 596, 5131, 539, 12079, 311, 1179, 264, 5679, 449, 61243, 25212, 505, 2500, 3224, 13, 1226, 2351, 12899, 264, 4901, 311, 3345, 420, 94095, 323, 527, 8260, 389, 279, 10423, 311, 9120, 279, 1179, 367, 315, 61243, 12875, 627, 10445, 1274, 4510, 2487, 100037, 374, 1695, 198, 23025, 889, 1862, 279, 6725, 3802, 2487, 100037, 649, 5471, 2487, 30020, 323, 5766, 80184, 15319, 505, 1023, 10099, 477, 12875, 13, 4452, 11, 420, 374, 6724, 88977, 13, 25611, 10964, 1587, 539, 8935, 279, 5679, 304, 904, 1648, 323, 649, 3604, 387, 65069, 311, 872, 2890, 11, 17432, 323, 23460, 627, 791, 10537, 374, 6118, 11953, 704, 369, 32227, 37637, 477, 46552, 8125, 3629, 1606, 279, 6506, 6944, 311, 11322, 264, 4040, 364, 7349, 4527, 4427, 7980, 4510, 61243, 25212, 1304, 279, 5679, 1427, 49331, 477, 810, 64130, 11, 719, 279, 1920, 649, 617, 279, 6724, 14329, 2515, 389, 872, 79964, 323, 649, 1304, 1124, 38100, 323, 23418, 2212, 1274, 323, 1023, 10099, 627, 4438, 2487, 100037, 374, 10887, 198, 18292, 100037, 374, 8965, 2884, 389, 57725, 1990, 4848, 323, 220, 717, 5672, 13, 1102, 596, 15098, 5526, 304, 3738, 58245, 323, 4595, 315, 12875, 482, 2737, 63335, 45011, 437, 323, 3778, 17231, 552, 11, 1405, 961, 477, 682, 315, 279, 4553, 2487, 67533, 374, 17037, 7108, 13, 1115, 649, 387, 9193, 54286, 369, 279, 42289, 323, 5353, 15690, 5674, 627, 644, 1063, 5961, 11, 61243, 25212, 527, 6646, 264, 28875, 5410, 369, 1063, 17231, 93008, 6910, 13, 7089, 58245, 11, 1778, 439, 3234, 655, 70991, 11, 617, 872, 25212, 61243, 323, 12786, 396, 291, 627, 51, 14550, 323, 12786, 2295, 287, 25212, 198, 791, 11401, 369, 259, 14550, 477, 12786, 396, 287, 39990, 264, 905, 37637, 1405, 12875, 6, 25212, 1427, 31859, 5225, 323, 9093, 810, 364, 266, 70178, 4527, 362, 5679, 596, 25212, 527, 83614, 311, 264, 55043, 477, 7732, 12786, 396, 311, 15253, 6650, 49685, 4619, 315, 279, 25212, 9943, 10964, 927, 627, 3947, 374, 912, 6029, 315, 904, 8935, 311, 16785, 100037, 477, 259, 14550, 315, 12875, 6, 25212, 7389, 369, 6593, 8125, 627, 18292, 100037, 649, 387, 1633, 26175, 369, 12875, 198, 2170, 449, 904, 15173, 11, 1070, 527, 15635, 323, 2487, 100037, 374, 459, 17235, 26175, 10537, 369, 279, 5679, 13, 1115, 374, 5423, 837, 422, 11953, 704, 439, 264, 364, 18091, 56, 6, 10537, 2085, 32031, 41390, 71109, 477, 6784, 16337, 13, 578, 34254, 649, 1935, 264, 1317, 892, 311, 27661, 11, 1205, 264, 2763, 315, 1306, 10727, 320, 21470, 439, 10223, 8679, 826, 323, 16204, 8, 323, 649, 3719, 29374, 6847, 627, 8989, 17070, 13145, 19218, 3168, 5425, 469, 783, 706, 1027, 23087, 1171, 369, 2324, 555, 279, 3217, 315, 3515, 813, 25212, 61243, 13, 1283, 574, 832, 315, 1403, 57725, 505, 264, 39682, 315, 8223, 889, 1047, 872, 25212, 61243, 1603, 1694, 31589, 555, 4379, 323, 9277, 304, 1057, 2512, 627, 16366, 25212, 1051, 4704, 3690, 11, 26175, 323, 29374, 13, 96852, 4510, 813, 25212, 1047, 1027, 61243, 1701, 72724, 477, 264, 17676, 25879, 2085, 6784, 16337, 477, 69340, 2512, 627, 49, 4695, 5158, 4987, 11431, 21995, 14821, 6783, 24101, 5929, 1071, 512, 2028, 25629, 10537, 706, 47168, 469, 783, 596, 2324, 358, 1541, 956, 1781, 568, 3358, 3596, 7373, 11993, 627, 4599, 279, 1162, 1047, 20536, 11, 469, 783, 323, 813, 37783, 1051, 1949, 311, 1505, 502, 10632, 13, 24101, 596, 5597, 311, 11142, 469, 783, 574, 3196, 389, 279, 8830, 430, 568, 37260, 6908, 11774, 369, 904, 502, 6506, 13, 1102, 1053, 387, 9193, 5107, 311, 1505, 264, 2162, 430, 1436, 37586, 449, 279, 5536, 100037, 706, 1047, 389, 469, 783, 627, 7184, 11, 469, 783, 6439, 449, 24101, 323, 1077, 3070, 13, 1283, 596, 17235, 2010, 33394, 323, 374, 53731, 422, 499, 1304, 264, 11210, 7351, 3221, 813, 2010, 13, 1283, 1101, 28970, 311, 19570, 323, 3674, 1082, 449, 1274, 323, 449, 1023, 12875, 11, 3515, 5675, 832, 315, 813, 1401, 10758, 7526, 627, 10445, 2487, 100037, 374, 779, 5526, 198, 1687, 8850, 430, 31544, 7829, 11, 5448, 6222, 389, 3674, 3772, 482, 5423, 505, 22917, 1405, 279, 6725, 374, 653, 81722, 323, 5897, 482, 323, 459, 5376, 304, 17231, 58245, 3970, 304, 13172, 374, 4725, 3876, 279, 1427, 323, 3339, 433, 810, 5526, 627, 16298, 304, 279, 586, 8071, 527, 98859, 420, 10537, 555, 11821, 9364, 315, 872, 61243, 12875, 323, 11, 1524, 422, 84644, 11559, 11, 4725, 3876, 323, 42112, 269, 3876, 279, 1427, 13, 2435, 1205, 311, 1935, 12014, 323, 743, 264, 1695, 3187, 311, 872, 7359, 11, 12192, 8647, 5679, 15637, 323, 18824, 1695, 10065, 23460, 627, 3648, 12678, 6004, 304, 7552, 220, 2366, 17, 11, 1501, 264, 220, 22488, 4, 5376, 304, 279, 1396, 315, 6821, 315, 2487, 100037, 323, 61243, 25212, 9408, 449, 603, 304, 279, 1566, 4848, 1667, 13, 5659, 220, 679, 20, 311, 220, 2366, 15, 11, 584, 1047, 264, 2860, 315, 220, 17267, 6821, 315, 279, 6725, 1903, 311, 1057, 13147, 92975, 627, 10267, 603, 1440, 422, 499, 15562, 2487, 100037, 198, 2746, 499, 15562, 4423, 374, 38484, 100037, 872, 12875, 6, 25212, 477, 77218, 369, 872, 12875, 311, 617, 872, 25212, 61243, 11, 4587, 1934, 701, 10742, 311, 1057, 92975, 11, 8260, 220, 14649, 15, 220, 4513, 19, 220, 5500, 13, 1226, 690, 2744, 1427, 1139, 6821, 323, 690, 19874, 422, 1070, 374, 6029, 430, 279, 2383, 706, 1027, 11102, 13, 128001, 128000, 2170, 584, 4070, 9687, 304, 220, 2366, 15, 11, 1070, 527, 682, 21522, 315, 8125, 499, 649, 842, 709, 3838, 11130, 13, 57194, 505, 279, 57937, 9041, 315, 264, 17188, 477, 20236, 11, 264, 12056, 1938, 3445, 279, 6980, 527, 2162, 505, 2978, 323, 499, 4805, 387, 3451, 21837, 529, 505, 701, 2162, 5274, 13, 18156, 701, 1841, 2834, 1431, 1212, 11, 323, 10778, 18386, 2834, 1431, 387, 2561, 3156, 279, 842, 315, 1938, 627, 2822, 5030, 279, 2944, 11, 422, 499, 3207, 16075, 520, 2162, 11, 499, 3207, 2133, 311, 636, 1054, 21313, 894, 863, 520, 1063, 1486, 11, 323, 1603, 499, 1440, 433, 499, 4805, 387, 15389, 279, 37328, 323, 38681, 369, 2555, 2001, 4205, 2001, 430, 499, 649, 6847, 2571, 3871, 369, 264, 4062, 23556, 11, 477, 264, 15326, 15496, 627, 3792, 304, 279, 3451, 2031, 82, 323, 3451, 1490, 82, 11, 3515, 264, 1664, 5594, 68485, 69357, 574, 19894, 439, 7718, 11, 539, 53808, 13, 1628, 1418, 584, 77085, 1440, 810, 922, 12459, 1664, 304, 420, 1938, 323, 4325, 1109, 584, 1550, 682, 1884, 1667, 4227, 11, 1070, 527, 2103, 3115, 994, 264, 7373, 79170, 69357, 17482, 499, 1664, 13, 13969, 1521, 69357, 59886, 389, 1450, 520, 682, 3115, 11, 323, 499, 4805, 387, 3025, 311, 51176, 709, 264, 4062, 11, 3428, 41238, 15496, 304, 264, 503, 3168, 88, 627, 12755, 61260, 649, 1304, 9155, 308, 529, 17604, 11, 477, 37547, 9036, 402, 2473, 430, 5764, 65543, 60399, 13, 5843, 61260, 527, 1695, 449, 91070, 1093, 42592, 78, 11, 90215, 5169, 11, 477, 44885, 78, 627, 10267, 753, 387, 2867, 12, 13465, 4536, 1431, 369, 1475, 1938, 11, 779, 1541, 1431, 636, 2288, 12304, 13, 2052, 59338, 477, 4459, 2695, 20559, 20415, 374, 7718, 369, 48669, 323, 16385, 82, 11, 719, 499, 649, 1101, 1005, 433, 311, 1304, 80960, 11, 87076, 11, 477, 264, 7878, 19151, 37547, 627, 4599, 499, 617, 1403, 35354, 315, 16385, 12, 4160, 10746, 12, 499, 4070, 2751, 264, 28974, 11, 902, 11, 304, 5369, 311, 1694, 2307, 4228, 311, 10772, 11, 374, 264, 2294, 1648, 311, 636, 701, 6206, 389, 1063, 18406, 93267, 627, 2746, 499, 3207, 3411, 369, 459, 60618, 13128, 10778, 311, 13339, 11, 27994, 323, 2531, 19131, 527, 459, 17049, 6425, 627, 8161, 1431, 79583, 279, 58172, 1918, 315, 90215, 3536, 323, 33566, 8679, 826, 11, 994, 433, 4131, 311, 32623, 709, 701, 18254, 33566, 13, 8325, 66155, 47205, 3727, 264, 39953, 348, 2259, 343, 68028, 11, 323, 68346, 5707, 3779, 311, 2555, 1093, 63168, 14432, 11, 449, 264, 50346, 320, 9891, 11, 1193, 264, 50346, 16715, 315, 29839, 19737, 11705, 264, 39953, 50933, 19737, 627, 16323, 31049, 323, 19595, 527, 264, 2294, 11, 9498, 40459, 389, 872, 1866, 11, 719, 814, 1101, 923, 264, 18406, 11, 95333, 10651, 311, 77852, 11, 72754, 42880, 11, 323, 41778, 11822, 627, 7489, 27357, 14403, 11, 5708, 11, 323, 41613, 649, 387, 1511, 439, 2294, 23963, 369, 19724, 11, 59717, 11, 55178, 11, 323, 810, 13, 1472, 649, 1101, 4394, 20228, 323, 934, 80094, 304, 5708, 477, 34557, 14403, 311, 923, 1063, 17615, 311, 1884, 41936, 627, 95813, 864, 13703, 2041, 31735, 3727, 433, 4228, 311, 923, 7878, 31735, 311, 904, 315, 701, 26863, 26, 272, 10318, 374, 264, 50056, 304, 24160, 26863, 26, 323, 15155, 87319, 5764, 682, 279, 39953, 3280, 826, 499, 7070, 4461, 1390, 11, 2085, 3515, 311, 3780, 8254, 2204, 27474, 11, 323, 30090, 704, 279, 14293, 315, 1855, 627, 33, 5620, 60399, 323, 68480, 63875, 636, 1633, 39953, 994, 499, 923, 9955, 12843, 323, 91070, 311, 1124, 13, 19771, 423, 3251, 263, 65407, 449, 5707, 323, 47205, 369, 264, 4224, 11392, 33566, 32623, 627, 36, 1113, 7878, 374, 2744, 1888, 11, 719, 304, 3432, 753, 13326, 1917, 11, 1070, 753, 912, 21648, 304, 60662, 264, 29921, 44518, 69357, 11, 5423, 422, 499, 3207, 37874, 1523, 279, 13819, 86161, 315, 13893, 1690, 2919, 304, 264, 2872, 1405, 499, 2834, 1431, 387, 9564, 279, 3838, 13, 128001 ]
[ -100, 50040, 2487, 100037, 198, 18292, 100037, 320, 269, 89310, 8, 374, 459, 11622, 26225, 34933, 10537, 304, 902, 264, 5679, 596, 25212, 527, 7108, 477, 29852, 13, 1102, 706, 912, 7720, 369, 279, 5679, 323, 649, 5353, 15690, 5674, 627, 18292, 100037, 374, 12079, 304, 279, 6560, 198, 18292, 100037, 374, 12079, 304, 9635, 323, 23782, 11, 1234, 11360, 220, 20, 315, 279, 21995, 66187, 3298, 220, 1049, 21, 13, 4452, 11, 279, 6725, 374, 2103, 5897, 304, 1023, 5596, 315, 279, 1917, 11, 1778, 439, 279, 7427, 323, 8524, 13, 2684, 596, 264, 8850, 430, 810, 323, 810, 12875, 527, 1694, 3288, 22917, 369, 100037, 11, 477, 1694, 15075, 323, 25973, 505, 25355, 3515, 2736, 1047, 279, 26175, 10537, 627, 2181, 596, 5131, 539, 12079, 311, 1179, 264, 5679, 449, 61243, 25212, 505, 2500, 3224, 13, 1226, 2351, 12899, 264, 4901, 311, 3345, 420, 94095, 323, 527, 8260, 389, 279, 10423, 311, 9120, 279, 1179, 367, 315, 61243, 12875, 627, 10445, 1274, 4510, 2487, 100037, 374, 1695, 198, 23025, 889, 1862, 279, 6725, 3802, 2487, 100037, 649, 5471, 2487, 30020, 323, 5766, 80184, 15319, 505, 1023, 10099, 477, 12875, 13, 4452, 11, 420, 374, 6724, 88977, 13, 25611, 10964, 1587, 539, 8935, 279, 5679, 304, 904, 1648, 323, 649, 3604, 387, 65069, 311, 872, 2890, 11, 17432, 323, 23460, 627, 791, 10537, 374, 6118, 11953, 704, 369, 32227, 37637, 477, 46552, 8125, 3629, 1606, 279, 6506, 6944, 311, 11322, 264, 4040, 364, 7349, 4527, 4427, 7980, 4510, 61243, 25212, 1304, 279, 5679, 1427, 49331, 477, 810, 64130, 11, 719, 279, 1920, 649, 617, 279, 6724, 14329, 2515, 389, 872, 79964, 323, 649, 1304, 1124, 38100, 323, 23418, 2212, 1274, 323, 1023, 10099, 627, 4438, 2487, 100037, 374, 10887, 198, 18292, 100037, 374, 8965, 2884, 389, 57725, 1990, 4848, 323, 220, 717, 5672, 13, 1102, 596, 15098, 5526, 304, 3738, 58245, 323, 4595, 315, 12875, 482, 2737, 63335, 45011, 437, 323, 3778, 17231, 552, 11, 1405, 961, 477, 682, 315, 279, 4553, 2487, 67533, 374, 17037, 7108, 13, 1115, 649, 387, 9193, 54286, 369, 279, 42289, 323, 5353, 15690, 5674, 627, 644, 1063, 5961, 11, 61243, 25212, 527, 6646, 264, 28875, 5410, 369, 1063, 17231, 93008, 6910, 13, 7089, 58245, 11, 1778, 439, 3234, 655, 70991, 11, 617, 872, 25212, 61243, 323, 12786, 396, 291, 627, 51, 14550, 323, 12786, 2295, 287, 25212, 198, 791, 11401, 369, 259, 14550, 477, 12786, 396, 287, 39990, 264, 905, 37637, 1405, 12875, 6, 25212, 1427, 31859, 5225, 323, 9093, 810, 364, 266, 70178, 4527, 362, 5679, 596, 25212, 527, 83614, 311, 264, 55043, 477, 7732, 12786, 396, 311, 15253, 6650, 49685, 4619, 315, 279, 25212, 9943, 10964, 927, 627, 3947, 374, 912, 6029, 315, 904, 8935, 311, 16785, 100037, 477, 259, 14550, 315, 12875, 6, 25212, 7389, 369, 6593, 8125, 627, 18292, 100037, 649, 387, 1633, 26175, 369, 12875, 198, 2170, 449, 904, 15173, 11, 1070, 527, 15635, 323, 2487, 100037, 374, 459, 17235, 26175, 10537, 369, 279, 5679, 13, 1115, 374, 5423, 837, 422, 11953, 704, 439, 264, 364, 18091, 56, 6, 10537, 2085, 32031, 41390, 71109, 477, 6784, 16337, 13, 578, 34254, 649, 1935, 264, 1317, 892, 311, 27661, 11, 1205, 264, 2763, 315, 1306, 10727, 320, 21470, 439, 10223, 8679, 826, 323, 16204, 8, 323, 649, 3719, 29374, 6847, 627, 8989, 17070, 13145, 19218, 3168, 5425, 469, 783, 706, 1027, 23087, 1171, 369, 2324, 555, 279, 3217, 315, 3515, 813, 25212, 61243, 13, 1283, 574, 832, 315, 1403, 57725, 505, 264, 39682, 315, 8223, 889, 1047, 872, 25212, 61243, 1603, 1694, 31589, 555, 4379, 323, 9277, 304, 1057, 2512, 627, 16366, 25212, 1051, 4704, 3690, 11, 26175, 323, 29374, 13, 96852, 4510, 813, 25212, 1047, 1027, 61243, 1701, 72724, 477, 264, 17676, 25879, 2085, 6784, 16337, 477, 69340, 2512, 627, 49, 4695, 5158, 4987, 11431, 21995, 14821, 6783, 24101, 5929, 1071, 512, 2028, 25629, 10537, 706, 47168, 469, 783, 596, 2324, 358, 1541, 956, 1781, 568, 3358, 3596, 7373, 11993, 627, 4599, 279, 1162, 1047, 20536, 11, 469, 783, 323, 813, 37783, 1051, 1949, 311, 1505, 502, 10632, 13, 24101, 596, 5597, 311, 11142, 469, 783, 574, 3196, 389, 279, 8830, 430, 568, 37260, 6908, 11774, 369, 904, 502, 6506, 13, 1102, 1053, 387, 9193, 5107, 311, 1505, 264, 2162, 430, 1436, 37586, 449, 279, 5536, 100037, 706, 1047, 389, 469, 783, 627, 7184, 11, 469, 783, 6439, 449, 24101, 323, 1077, 3070, 13, 1283, 596, 17235, 2010, 33394, 323, 374, 53731, 422, 499, 1304, 264, 11210, 7351, 3221, 813, 2010, 13, 1283, 1101, 28970, 311, 19570, 323, 3674, 1082, 449, 1274, 323, 449, 1023, 12875, 11, 3515, 5675, 832, 315, 813, 1401, 10758, 7526, 627, 10445, 2487, 100037, 374, 779, 5526, 198, 1687, 8850, 430, 31544, 7829, 11, 5448, 6222, 389, 3674, 3772, 482, 5423, 505, 22917, 1405, 279, 6725, 374, 653, 81722, 323, 5897, 482, 323, 459, 5376, 304, 17231, 58245, 3970, 304, 13172, 374, 4725, 3876, 279, 1427, 323, 3339, 433, 810, 5526, 627, 16298, 304, 279, 586, 8071, 527, 98859, 420, 10537, 555, 11821, 9364, 315, 872, 61243, 12875, 323, 11, 1524, 422, 84644, 11559, 11, 4725, 3876, 323, 42112, 269, 3876, 279, 1427, 13, 2435, 1205, 311, 1935, 12014, 323, 743, 264, 1695, 3187, 311, 872, 7359, 11, 12192, 8647, 5679, 15637, 323, 18824, 1695, 10065, 23460, 627, 3648, 12678, 6004, 304, 7552, 220, 2366, 17, 11, 1501, 264, 220, 22488, 4, 5376, 304, 279, 1396, 315, 6821, 315, 2487, 100037, 323, 61243, 25212, 9408, 449, 603, 304, 279, 1566, 4848, 1667, 13, 5659, 220, 679, 20, 311, 220, 2366, 15, 11, 584, 1047, 264, 2860, 315, 220, 17267, 6821, 315, 279, 6725, 1903, 311, 1057, 13147, 92975, 627, 10267, 603, 1440, 422, 499, 15562, 2487, 100037, 198, 2746, 499, 15562, 4423, 374, 38484, 100037, 872, 12875, 6, 25212, 477, 77218, 369, 872, 12875, 311, 617, 872, 25212, 61243, 11, 4587, 1934, 701, 10742, 311, 1057, 92975, 11, 8260, 220, 14649, 15, 220, 4513, 19, 220, 5500, 13, 1226, 690, 2744, 1427, 1139, 6821, 323, 690, 19874, 422, 1070, 374, 6029, 430, 279, 2383, 706, 1027, 11102, 13, 128001, -100, 2170, 584, 4070, 9687, 304, 220, 2366, 15, 11, 1070, 527, 682, 21522, 315, 8125, 499, 649, 842, 709, 3838, 11130, 13, 57194, 505, 279, 57937, 9041, 315, 264, 17188, 477, 20236, 11, 264, 12056, 1938, 3445, 279, 6980, 527, 2162, 505, 2978, 323, 499, 4805, 387, 3451, 21837, 529, 505, 701, 2162, 5274, 13, 18156, 701, 1841, 2834, 1431, 1212, 11, 323, 10778, 18386, 2834, 1431, 387, 2561, 3156, 279, 842, 315, 1938, 627, 2822, 5030, 279, 2944, 11, 422, 499, 3207, 16075, 520, 2162, 11, 499, 3207, 2133, 311, 636, 1054, 21313, 894, 863, 520, 1063, 1486, 11, 323, 1603, 499, 1440, 433, 499, 4805, 387, 15389, 279, 37328, 323, 38681, 369, 2555, 2001, 4205, 2001, 430, 499, 649, 6847, 2571, 3871, 369, 264, 4062, 23556, 11, 477, 264, 15326, 15496, 627, 3792, 304, 279, 3451, 2031, 82, 323, 3451, 1490, 82, 11, 3515, 264, 1664, 5594, 68485, 69357, 574, 19894, 439, 7718, 11, 539, 53808, 13, 1628, 1418, 584, 77085, 1440, 810, 922, 12459, 1664, 304, 420, 1938, 323, 4325, 1109, 584, 1550, 682, 1884, 1667, 4227, 11, 1070, 527, 2103, 3115, 994, 264, 7373, 79170, 69357, 17482, 499, 1664, 13, 13969, 1521, 69357, 59886, 389, 1450, 520, 682, 3115, 11, 323, 499, 4805, 387, 3025, 311, 51176, 709, 264, 4062, 11, 3428, 41238, 15496, 304, 264, 503, 3168, 88, 627, 12755, 61260, 649, 1304, 9155, 308, 529, 17604, 11, 477, 37547, 9036, 402, 2473, 430, 5764, 65543, 60399, 13, 5843, 61260, 527, 1695, 449, 91070, 1093, 42592, 78, 11, 90215, 5169, 11, 477, 44885, 78, 627, 10267, 753, 387, 2867, 12, 13465, 4536, 1431, 369, 1475, 1938, 11, 779, 1541, 1431, 636, 2288, 12304, 13, 2052, 59338, 477, 4459, 2695, 20559, 20415, 374, 7718, 369, 48669, 323, 16385, 82, 11, 719, 499, 649, 1101, 1005, 433, 311, 1304, 80960, 11, 87076, 11, 477, 264, 7878, 19151, 37547, 627, 4599, 499, 617, 1403, 35354, 315, 16385, 12, 4160, 10746, 12, 499, 4070, 2751, 264, 28974, 11, 902, 11, 304, 5369, 311, 1694, 2307, 4228, 311, 10772, 11, 374, 264, 2294, 1648, 311, 636, 701, 6206, 389, 1063, 18406, 93267, 627, 2746, 499, 3207, 3411, 369, 459, 60618, 13128, 10778, 311, 13339, 11, 27994, 323, 2531, 19131, 527, 459, 17049, 6425, 627, 8161, 1431, 79583, 279, 58172, 1918, 315, 90215, 3536, 323, 33566, 8679, 826, 11, 994, 433, 4131, 311, 32623, 709, 701, 18254, 33566, 13, 8325, 66155, 47205, 3727, 264, 39953, 348, 2259, 343, 68028, 11, 323, 68346, 5707, 3779, 311, 2555, 1093, 63168, 14432, 11, 449, 264, 50346, 320, 9891, 11, 1193, 264, 50346, 16715, 315, 29839, 19737, 11705, 264, 39953, 50933, 19737, 627, 16323, 31049, 323, 19595, 527, 264, 2294, 11, 9498, 40459, 389, 872, 1866, 11, 719, 814, 1101, 923, 264, 18406, 11, 95333, 10651, 311, 77852, 11, 72754, 42880, 11, 323, 41778, 11822, 627, 7489, 27357, 14403, 11, 5708, 11, 323, 41613, 649, 387, 1511, 439, 2294, 23963, 369, 19724, 11, 59717, 11, 55178, 11, 323, 810, 13, 1472, 649, 1101, 4394, 20228, 323, 934, 80094, 304, 5708, 477, 34557, 14403, 311, 923, 1063, 17615, 311, 1884, 41936, 627, 95813, 864, 13703, 2041, 31735, 3727, 433, 4228, 311, 923, 7878, 31735, 311, 904, 315, 701, 26863, 26, 272, 10318, 374, 264, 50056, 304, 24160, 26863, 26, 323, 15155, 87319, 5764, 682, 279, 39953, 3280, 826, 499, 7070, 4461, 1390, 11, 2085, 3515, 311, 3780, 8254, 2204, 27474, 11, 323, 30090, 704, 279, 14293, 315, 1855, 627, 33, 5620, 60399, 323, 68480, 63875, 636, 1633, 39953, 994, 499, 923, 9955, 12843, 323, 91070, 311, 1124, 13, 19771, 423, 3251, 263, 65407, 449, 5707, 323, 47205, 369, 264, 4224, 11392, 33566, 32623, 627, 36, 1113, 7878, 374, 2744, 1888, 11, 719, 304, 3432, 753, 13326, 1917, 11, 1070, 753, 912, 21648, 304, 60662, 264, 29921, 44518, 69357, 11, 5423, 422, 499, 3207, 37874, 1523, 279, 13819, 86161, 315, 13893, 1690, 2919, 304, 264, 2872, 1405, 499, 2834, 1431, 387, 9564, 279, 3838, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659 ]
[ 128000, 48676, 5953, 17012, 25379, 1, 24944, 279, 2175, 83, 1065, 10481, 9356, 198, 3792, 304, 220, 9714, 18, 4900, 25379, 17011, 264, 57697, 8815, 13, 1283, 1047, 1027, 4691, 311, 330, 630, 750, 743, 10980, 1521, 21319, 311, 872, 32442, 1005, 555, 264, 2478, 8475, 24208, 1210, 25379, 574, 311, 1833, 279, 17966, 19114, 369, 279, 13402, 11, 279, 37048, 477, 859, 22653, 78195, 13, 25379, 596, 3465, 2643, 2873, 4382, 3403, 11, 3156, 279, 27927, 2317, 374, 4529, 1139, 18361, 13, 1789, 420, 574, 912, 19664, 39955, 22260, 13, 578, 59404, 5727, 279, 13162, 315, 9214, 315, 11552, 4208, 48988, 889, 1047, 5675, 872, 6439, 304, 832, 315, 279, 1455, 47322, 6680, 65, 27382, 304, 3778, 3925, 13, 8442, 220, 19, 12, 16, 14, 17, 4038, 6931, 9323, 323, 57457, 47983, 1047, 98506, 927, 2380, 2919, 11, 9564, 220, 3971, 11, 931, 3026, 7577, 11, 28593, 11, 477, 7554, 304, 1957, 13, 578, 9323, 5710, 1051, 2103, 1694, 23217, 505, 26682, 62281, 311, 872, 15690, 41219, 7634, 304, 279, 59404, 13, 578, 4900, 574, 17011, 449, 279, 653, 3239, 2205, 3465, 315, 26073, 311, 279, 91844, 7140, 3249, 279, 40856, 11, 369, 902, 1690, 5762, 1461, 16102, 36977, 11, 574, 5995, 13, 320, 4054, 315, 279, 48988, 7077, 311, 387, 856, 2294, 72102, 27510, 596, 1176, 10177, 11, 889, 574, 7577, 389, 279, 2132, 1938, 315, 279, 8209, 13, 2435, 1047, 1193, 1027, 12502, 264, 1060, 11, 323, 856, 2294, 72102, 27510, 574, 264, 16803, 5111, 57896, 520, 279, 4325, 315, 220, 508, 16715, 25379, 1047, 311, 1505, 264, 16033, 42535, 369, 279, 4208, 11, 323, 568, 1047, 311, 656, 433, 304, 1120, 330, 64, 2478, 8475, 24208, 10246, 644, 264, 5224, 430, 13282, 1193, 220, 15741, 4339, 323, 1193, 3952, 1403, 4520, 477, 779, 311, 6493, 11, 320, 44587, 7211, 1047, 22066, 369, 7154, 1403, 4207, 8, 279, 4900, 31256, 279, 7140, 315, 1202, 36330, 16565, 13, 38906, 287, 279, 42021, 315, 44177, 568, 11224, 430, 584, 1051, 264, 7140, 430, 574, 330, 444, 8946, 304, 32492, 11, 323, 12514, 311, 279, 41180, 430, 682, 3026, 527, 3549, 6273, 1210, 578, 16803, 5111, 574, 264, 1296, 315, 3508, 1778, 264, 7140, 1436, 18167, 13, 1283, 9932, 279, 15201, 889, 1047, 2728, 330, 1820, 1566, 2539, 6767, 315, 56357, 1359, 323, 1243, 29991, 279, 10877, 311, 74704, 5694, 1389, 311, 74704, 5694, 311, 27666, 279, 64716, 3465, 11, 330, 9210, 420, 7140, 11, 1234, 4359, 11, 4985, 617, 264, 502, 7342, 315, 11542, 1389, 323, 430, 3109, 315, 279, 1274, 11, 555, 279, 1274, 11, 369, 279, 1274, 11, 4985, 539, 83217, 505, 279, 9578, 10246, 82990, 279, 17571, 330, 8154, 4359, 1, 574, 539, 304, 25379, 596, 4113, 47913, 13, 1283, 14132, 6773, 311, 923, 433, 3010, 11, 11000, 1306, 2389, 14782, 449, 12667, 315, 3314, 12656, 473, 13, 328, 24998, 279, 3814, 1603, 13, 328, 24998, 11, 433, 690, 387, 27569, 11, 1047, 9057, 264, 23935, 449, 813, 330, 88545, 7658, 1, 8982, 315, 220, 9741, 15, 13, 25842, 279, 11224, 7580, 315, 279, 4208, 574, 311, 21813, 279, 9323, 13, 2030, 2533, 279, 5867, 1149, 49686, 1322, 34084, 11, 902, 1047, 8208, 1139, 2515, 520, 279, 7314, 315, 279, 1060, 11, 279, 4208, 1047, 4529, 389, 264, 5190, 7580, 11, 279, 76445, 315, 33792, 13, 2030, 1268, 1436, 832, 9541, 67687, 287, 459, 9749, 15244, 30, 25379, 6052, 311, 279, 3765, 337, 684, 380, 6105, 315, 279, 220, 9741, 15, 596, 13, 2030, 8996, 279, 2592, 315, 20343, 11, 279, 3488, 8625, 11, 527, 584, 11, 439, 264, 7140, 11, 330, 8154, 4359, 44969, 14910, 25379, 927, 2513, 279, 1162, 5380, 11439, 311, 25379, 11, 279, 89328, 17966, 315, 3778, 20095, 574, 4623, 430, 330, 543, 3026, 527, 3549, 6273, 1210, 2030, 1148, 3727, 603, 330, 26880, 44969, 9176, 4251, 9053, 520, 279, 892, 1051, 539, 10235, 311, 4287, 40077, 439, 872, 17239, 13, 578, 1648, 433, 374, 11224, 304, 279, 42021, 315, 44177, 374, 430, 330, 543, 3026, 527, 3549, 6273, 1359, 323, 330, 548, 98728, 555, 872, 36778, 449, 3738, 653, 56418, 481, 3268, 1210, 763, 1023, 4339, 11, 304, 279, 1620, 6492, 682, 3823, 23837, 527, 6273, 1606, 4359, 3549, 603, 430, 1648, 13, 330, 4516, 4359, 3549, 893, 304, 5414, 1866, 2217, 26, 304, 279, 2217, 315, 4359, 1283, 3549, 1461, 26, 8762, 323, 8954, 1283, 3549, 1124, 1, 320, 10172, 13, 220, 16, 25, 1544, 26, 71163, 78991, 7609, 330, 3112, 1283, 510, 72, 1770, 2637, 4359, 60, 706, 1903, 505, 832, 6680, 1475, 7140, 315, 3026, 311, 44935, 389, 682, 279, 3663, 315, 279, 9578, 662, 662, 42448, 320, 93324, 220, 1114, 25, 1627, 570, 2030, 3131, 584, 4287, 279, 4623, 315, 45480, 1122, 15740, 11, 279, 1162, 369, 19739, 22526, 11, 323, 555, 9070, 3778, 20095, 11, 87458, 13, 1102, 374, 90271, 311, 23289, 430, 2204, 19739, 42400, 902, 527, 42028, 29235, 315, 1855, 1023, 527, 18813, 30464, 311, 1063, 51052, 20789, 10728, 25018, 13, 2435, 527, 1120, 14733, 2204, 505, 1855, 1023, 11, 323, 1063, 527, 4461, 2753, 330, 6410, 1, 1109, 279, 2800, 13, 763, 264, 3492, 11, 636, 9463, 315, 4359, 323, 499, 636, 9463, 315, 1057, 35947, 6222, 22706, 323, 904, 7434, 315, 20789, 3823, 3268, 13, 763, 279, 2383, 315, 279, 45520, 433, 374, 279, 20237, 315, 279, 282, 14602, 13, 2057, 279, 5310, 269, 733, 279, 20016, 8839, 4999, 4516, 527, 584, 264, 7140, 330, 8154, 4359, 1, 5380, 791, 35321, 7658, 198, 4054, 17671, 9636, 4359, 128001 ]
[ -100, 48676, 5953, 17012, 25379, 1, 24944, 279, 2175, 83, 1065, 10481, 9356, 198, 3792, 304, 220, 9714, 18, 4900, 25379, 17011, 264, 57697, 8815, 13, 1283, 1047, 1027, 4691, 311, 330, 630, 750, 743, 10980, 1521, 21319, 311, 872, 32442, 1005, 555, 264, 2478, 8475, 24208, 1210, 25379, 574, 311, 1833, 279, 17966, 19114, 369, 279, 13402, 11, 279, 37048, 477, 859, 22653, 78195, 13, 25379, 596, 3465, 2643, 2873, 4382, 3403, 11, 3156, 279, 27927, 2317, 374, 4529, 1139, 18361, 13, 1789, 420, 574, 912, 19664, 39955, 22260, 13, 578, 59404, 5727, 279, 13162, 315, 9214, 315, 11552, 4208, 48988, 889, 1047, 5675, 872, 6439, 304, 832, 315, 279, 1455, 47322, 6680, 65, 27382, 304, 3778, 3925, 13, 8442, 220, 19, 12, 16, 14, 17, 4038, 6931, 9323, 323, 57457, 47983, 1047, 98506, 927, 2380, 2919, 11, 9564, 220, 3971, 11, 931, 3026, 7577, 11, 28593, 11, 477, 7554, 304, 1957, 13, 578, 9323, 5710, 1051, 2103, 1694, 23217, 505, 26682, 62281, 311, 872, 15690, 41219, 7634, 304, 279, 59404, 13, 578, 4900, 574, 17011, 449, 279, 653, 3239, 2205, 3465, 315, 26073, 311, 279, 91844, 7140, 3249, 279, 40856, 11, 369, 902, 1690, 5762, 1461, 16102, 36977, 11, 574, 5995, 13, 320, 4054, 315, 279, 48988, 7077, 311, 387, 856, 2294, 72102, 27510, 596, 1176, 10177, 11, 889, 574, 7577, 389, 279, 2132, 1938, 315, 279, 8209, 13, 2435, 1047, 1193, 1027, 12502, 264, 1060, 11, 323, 856, 2294, 72102, 27510, 574, 264, 16803, 5111, 57896, 520, 279, 4325, 315, 220, 508, 16715, 25379, 1047, 311, 1505, 264, 16033, 42535, 369, 279, 4208, 11, 323, 568, 1047, 311, 656, 433, 304, 1120, 330, 64, 2478, 8475, 24208, 10246, 644, 264, 5224, 430, 13282, 1193, 220, 15741, 4339, 323, 1193, 3952, 1403, 4520, 477, 779, 311, 6493, 11, 320, 44587, 7211, 1047, 22066, 369, 7154, 1403, 4207, 8, 279, 4900, 31256, 279, 7140, 315, 1202, 36330, 16565, 13, 38906, 287, 279, 42021, 315, 44177, 568, 11224, 430, 584, 1051, 264, 7140, 430, 574, 330, 444, 8946, 304, 32492, 11, 323, 12514, 311, 279, 41180, 430, 682, 3026, 527, 3549, 6273, 1210, 578, 16803, 5111, 574, 264, 1296, 315, 3508, 1778, 264, 7140, 1436, 18167, 13, 1283, 9932, 279, 15201, 889, 1047, 2728, 330, 1820, 1566, 2539, 6767, 315, 56357, 1359, 323, 1243, 29991, 279, 10877, 311, 74704, 5694, 1389, 311, 74704, 5694, 311, 27666, 279, 64716, 3465, 11, 330, 9210, 420, 7140, 11, 1234, 4359, 11, 4985, 617, 264, 502, 7342, 315, 11542, 1389, 323, 430, 3109, 315, 279, 1274, 11, 555, 279, 1274, 11, 369, 279, 1274, 11, 4985, 539, 83217, 505, 279, 9578, 10246, 82990, 279, 17571, 330, 8154, 4359, 1, 574, 539, 304, 25379, 596, 4113, 47913, 13, 1283, 14132, 6773, 311, 923, 433, 3010, 11, 11000, 1306, 2389, 14782, 449, 12667, 315, 3314, 12656, 473, 13, 328, 24998, 279, 3814, 1603, 13, 328, 24998, 11, 433, 690, 387, 27569, 11, 1047, 9057, 264, 23935, 449, 813, 330, 88545, 7658, 1, 8982, 315, 220, 9741, 15, 13, 25842, 279, 11224, 7580, 315, 279, 4208, 574, 311, 21813, 279, 9323, 13, 2030, 2533, 279, 5867, 1149, 49686, 1322, 34084, 11, 902, 1047, 8208, 1139, 2515, 520, 279, 7314, 315, 279, 1060, 11, 279, 4208, 1047, 4529, 389, 264, 5190, 7580, 11, 279, 76445, 315, 33792, 13, 2030, 1268, 1436, 832, 9541, 67687, 287, 459, 9749, 15244, 30, 25379, 6052, 311, 279, 3765, 337, 684, 380, 6105, 315, 279, 220, 9741, 15, 596, 13, 2030, 8996, 279, 2592, 315, 20343, 11, 279, 3488, 8625, 11, 527, 584, 11, 439, 264, 7140, 11, 330, 8154, 4359, 44969, 14910, 25379, 927, 2513, 279, 1162, 5380, 11439, 311, 25379, 11, 279, 89328, 17966, 315, 3778, 20095, 574, 4623, 430, 330, 543, 3026, 527, 3549, 6273, 1210, 2030, 1148, 3727, 603, 330, 26880, 44969, 9176, 4251, 9053, 520, 279, 892, 1051, 539, 10235, 311, 4287, 40077, 439, 872, 17239, 13, 578, 1648, 433, 374, 11224, 304, 279, 42021, 315, 44177, 374, 430, 330, 543, 3026, 527, 3549, 6273, 1359, 323, 330, 548, 98728, 555, 872, 36778, 449, 3738, 653, 56418, 481, 3268, 1210, 763, 1023, 4339, 11, 304, 279, 1620, 6492, 682, 3823, 23837, 527, 6273, 1606, 4359, 3549, 603, 430, 1648, 13, 330, 4516, 4359, 3549, 893, 304, 5414, 1866, 2217, 26, 304, 279, 2217, 315, 4359, 1283, 3549, 1461, 26, 8762, 323, 8954, 1283, 3549, 1124, 1, 320, 10172, 13, 220, 16, 25, 1544, 26, 71163, 78991, 7609, 330, 3112, 1283, 510, 72, 1770, 2637, 4359, 60, 706, 1903, 505, 832, 6680, 1475, 7140, 315, 3026, 311, 44935, 389, 682, 279, 3663, 315, 279, 9578, 662, 662, 42448, 320, 93324, 220, 1114, 25, 1627, 570, 2030, 3131, 584, 4287, 279, 4623, 315, 45480, 1122, 15740, 11, 279, 1162, 369, 19739, 22526, 11, 323, 555, 9070, 3778, 20095, 11, 87458, 13, 1102, 374, 90271, 311, 23289, 430, 2204, 19739, 42400, 902, 527, 42028, 29235, 315, 1855, 1023, 527, 18813, 30464, 311, 1063, 51052, 20789, 10728, 25018, 13, 2435, 527, 1120, 14733, 2204, 505, 1855, 1023, 11, 323, 1063, 527, 4461, 2753, 330, 6410, 1, 1109, 279, 2800, 13, 763, 264, 3492, 11, 636, 9463, 315, 4359, 323, 499, 636, 9463, 315, 1057, 35947, 6222, 22706, 323, 904, 7434, 315, 20789, 3823, 3268, 13, 763, 279, 2383, 315, 279, 45520, 433, 374, 279, 20237, 315, 279, 282, 14602, 13, 2057, 279, 5310, 269, 733, 279, 20016, 8839, 4999, 4516, 527, 584, 264, 7140, 330, 8154, 4359, 1, 5380, 791, 35321, 7658, 198, 4054, 17671, 9636, 4359, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915 ]
[ 128000, 48, 25, 3639, 1587, 330, 543, 28133, 430, 4498, 1555, 311, 279, 1670, 6037, 1288, 387, 12504, 1, 3152, 30, 12838, 1054, 543, 28133, 430, 4498, 1555, 311, 279, 1670, 6037, 1288, 387, 12504, 863, 3152, 430, 856, 67168, 4893, 6037, 1288, 6068, 4395, 520, 279, 1212, 11, 1093, 420, 5380, 2, 2638, 279, 1670, 4947, 311, 6068, 198, 69800, 2898, 1198, 35890, 27241, 58042, 198, 69800, 2898, 1198, 35890, 32090, 58042, 198, 69800, 2898, 1198, 35890, 91179, 58042, 271, 2244, 1587, 433, 3152, 2555, 775, 1980, 32, 25, 1102, 3445, 430, 422, 499, 1541, 956, 617, 264, 6037, 304, 701, 6683, 430, 11951, 6276, 264, 10361, 1555, 1243, 433, 1288, 387, 12504, 13, 220, 41812, 330, 24539, 88, 4395, 7389, 358, 11951, 2187, 433, 23811, 40, 2846, 539, 459, 6933, 22409, 289, 450, 11, 3582, 11, 719, 13524, 499, 14749, 6933, 43252, 311, 2187, 1193, 1148, 499, 1390, 1555, 323, 6068, 279, 2800, 382, 32, 25, 7566, 11, 430, 596, 7041, 1148, 433, 3445, 320, 438, 3250, 956, 3152, 4205, 775, 4390, 49314, 433, 596, 264, 4947, 11, 323, 499, 649, 743, 701, 1866, 11911, 389, 701, 3966, 323, 889, 701, 3685, 11811, 527, 13, 362, 58042, 4947, 690, 1501, 709, 439, 330, 42231, 1, 994, 499, 8737, 279, 2700, 449, 308, 2235, 11, 20444, 264, 3680, 7582, 4947, 690, 1501, 330, 35187, 1, 4521, 576, 374, 1606, 3680, 7582, 22014, 459, 85088, 70422, 1984, 1203, 11, 20806, 279, 1732, 21583, 1440, 430, 1070, 374, 912, 2532, 14624, 389, 430, 2700, 3573, 4627, 8718, 2656, 1, 374, 279, 14595, 1217, 1984, 4390, 128001, 128000, 97602, 7742, 706, 8208, 505, 264, 35149, 2930, 7351, 311, 264, 7447, 70173, 18160, 37419, 1567, 13, 1666, 8244, 24910, 5376, 1475, 1060, 11, 3794, 6666, 369, 1884, 10736, 369, 9131, 6108, 11351, 649, 387, 264, 8815, 627, 8142, 1690, 11351, 5042, 14638, 311, 3967, 33149, 11, 1023, 93360, 1427, 311, 58951, 7742, 439, 1648, 311, 9504, 502, 33149, 430, 6062, 2643, 539, 617, 14675, 311, 872, 9131, 13, 6914, 753, 1935, 264, 1427, 520, 264, 2478, 502, 6848, 369, 220, 679, 24, 430, 93360, 2643, 1390, 311, 1456, 704, 311, 5662, 2225, 502, 323, 6484, 33149, 627, 2170, 279, 11812, 7532, 1120, 6222, 11, 73842, 53954, 1389, 264, 48295, 5526, 2835, 11821, 6505, 917, 1389, 374, 1664, 5922, 3411, 1139, 13, 674, 97602, 41299, 420, 1060, 690, 4661, 7995, 1304, 1202, 1648, 311, 73842, 53954, 449, 14992, 3932, 11, 323, 420, 1436, 387, 264, 2294, 1648, 311, 636, 264, 4062, 1984, 704, 311, 264, 502, 10877, 13, 1226, 7070, 4284, 430, 93360, 636, 389, 73842, 53954, 31373, 4856, 1109, 3010, 13971, 11, 323, 58951, 7742, 374, 264, 2294, 2944, 311, 656, 433, 31373, 627, 49, 750, 11130, 753, 14734, 311, 14734, 37419, 5452, 5825, 7808, 19826, 369, 27415, 62380, 323, 2128, 27415, 62380, 369, 2225, 8776, 323, 32558, 21343, 13, 6104, 1690, 93360, 10932, 311, 7195, 264, 25968, 2199, 369, 58951, 7742, 11, 3885, 990, 311, 636, 264, 2010, 1212, 389, 24910, 323, 1893, 264, 2539, 14734, 311, 14734, 37419, 4901, 2212, 58951, 7742, 11, 6118, 6041, 264, 2305, 1603, 279, 2466, 1938, 627, 2409, 264, 2539, 4901, 11, 93360, 649, 4305, 7808, 19826, 539, 1193, 1555, 279, 4553, 2305, 11, 719, 5423, 649, 11415, 1124, 2391, 279, 220, 1187, 4207, 2768, 34711, 7159, 13, 1226, 4070, 3970, 420, 990, 311, 2294, 2450, 369, 8403, 1778, 439, 279, 8096, 622, 13, 13585, 5114, 11, 323, 584, 7070, 15253, 904, 33184, 311, 733, 420, 6149, 627, 8142, 1690, 93360, 1005, 12864, 21258, 304, 872, 1060, 13368, 37419, 21343, 11, 6376, 709, 9248, 323, 79118, 369, 58951, 7742, 374, 2753, 4279, 13, 362, 502, 3072, 389, 279, 59800, 11130, 5452, 420, 1060, 369, 25968, 6959, 374, 1057, 7073, 4718, 14484, 4668, 627, 7968, 4718, 14484, 15714, 93360, 6847, 743, 709, 264, 9264, 389, 872, 25968, 6959, 430, 690, 9651, 5376, 279, 2539, 5536, 315, 264, 25968, 304, 12976, 311, 1268, 1690, 2489, 388, 617, 7378, 311, 16136, 13, 1789, 2937, 11, 422, 1070, 527, 1403, 1274, 477, 5220, 430, 617, 7378, 311, 2489, 904, 25968, 11, 1243, 264, 400, 1041, 18160, 25968, 690, 9651, 3113, 439, 264, 400, 3101, 25968, 0, 23212, 11, 279, 33184, 649, 743, 264, 9198, 3060, 311, 923, 810, 54917, 311, 279, 2489, 323, 5255, 304, 9306, 449, 279, 12864, 35558, 753, 1715, 627, 2028, 955, 315, 8147, 12864, 5828, 1431, 2561, 1603, 369, 58951, 7742, 11, 323, 584, 1781, 420, 374, 264, 2294, 3072, 311, 35608, 1862, 304, 220, 679, 24, 4999, 128001, 128000, 64276, 13656, 369, 8121, 12661, 287, 744, 627, 791, 8121, 12661, 287, 744, 320, 64276, 8, 374, 40056, 315, 220, 1187, 549, 815, 13, 3109, 29799, 47710, 430, 12960, 220, 717, 11, 931, 8931, 3485, 279, 9578, 304, 24473, 86228, 779, 430, 3892, 527, 2744, 304, 1684, 505, 904, 2361, 13, 578, 1887, 374, 6319, 311, 3493, 15603, 39825, 3600, 449, 459, 13708, 24950, 505, 220, 605, 311, 220, 868, 20645, 13, 18549, 3813, 2038, 20682, 3932, 311, 77277, 7041, 1405, 872, 11731, 477, 12032, 527, 520, 904, 892, 11, 12660, 304, 279, 1917, 13, 24586, 311, 9099, 18912, 6103, 323, 24088, 27605, 6103, 11, 4869, 11, 810, 24473, 7571, 27121, 527, 653, 1617, 467, 481, 449, 5410, 24229, 13, 87597, 4787, 649, 1101, 7958, 24229, 17738, 323, 872, 19163, 892, 389, 9420, 627, 3947, 527, 1403, 24229, 3600, 304, 5784, 25, 1389, 42770, 1082, 12661, 5475, 320, 4505, 50, 1680, 1115, 2532, 374, 1511, 555, 279, 549, 815, 13, 6011, 315, 16777, 323, 19144, 40531, 369, 4868, 10096, 13, 1389, 12028, 12661, 287, 5475, 320, 4695, 50, 1680, 1115, 2532, 374, 2561, 520, 912, 6900, 311, 682, 15603, 30028, 3932, 13, 59656, 6319, 439, 264, 6411, 1887, 555, 279, 549, 815, 13, 6011, 315, 16777, 311, 7417, 15194, 17357, 315, 1202, 11811, 11, 24229, 706, 8040, 1139, 264, 15603, 15919, 449, 7447, 25700, 3600, 505, 2559, 74249, 8522, 311, 18751, 11, 810, 23711, 6305, 13, 7357, 893, 28010, 19297, 505, 9515, 323, 25761, 323, 18198, 1523, 311, 2849, 18084, 323, 33271, 86, 9296, 649, 387, 76981, 3847, 449, 24229, 5557, 13, 6193, 279, 1566, 13515, 11, 7859, 5219, 315, 13147, 11, 2626, 323, 1524, 3070, 11731, 6920, 24229, 7766, 323, 6067, 369, 872, 5370, 15194, 3966, 627, 8140, 24229, 14291, 706, 264, 2678, 41032, 430, 21879, 17738, 505, 264, 83486, 315, 24229, 47710, 13, 12362, 279, 18912, 315, 8450, 23991, 505, 5361, 47710, 11, 279, 14291, 48517, 1202, 1866, 2361, 323, 4732, 13, 578, 9063, 1380, 45803, 279, 16997, 2819, 1203, 927, 264, 24088, 4009, 13, 10067, 323, 3388, 828, 374, 1243, 23700, 311, 1057, 16692, 627, 37, 19510, 20258, 649, 8891, 7458, 7351, 389, 14370, 323, 7068, 6821, 29040, 6149, 3649, 11, 3009, 3813, 3529, 2060, 323, 1023, 15525, 2038, 627, 72604, 555, 24327, 64207, 128001, 128000, 38, 3714, 751, 78, 374, 279, 6864, 315, 279, 384, 621, 90492, 17271, 11, 7559, 220, 975, 52957, 505, 279, 14221, 637, 12301, 1122, 15379, 13, 578, 41582, 2457, 1203, 311, 279, 220, 23, 339, 9478, 323, 279, 11049, 1990, 279, 480, 8869, 323, 70952, 751, 78, 374, 459, 2362, 832, 1101, 13, 1102, 574, 439, 1317, 4227, 439, 220, 5926, 22, 994, 264, 6566, 8220, 1618, 13, 1115, 574, 279, 480, 8869, 14002, 994, 42592, 78, 426, 17872, 574, 304, 279, 3063, 439, 1022, 1938, 832, 627, 791, 8736, 315, 6566, 220, 22, 304, 14002, 220, 679, 20, 7846, 1431, 387, 1790, 1344, 1683, 13, 1102, 753, 1193, 1306, 279, 220, 1490, 52957, 304, 279, 61858, 279, 1176, 220, 1490, 9099, 73635, 5101, 13, 3161, 220, 5245, 52957, 2884, 279, 30803, 1522, 11226, 315, 22463, 627, 2170, 71304, 269, 1104, 279, 6149, 1253, 1427, 11, 279, 30803, 1288, 387, 7029, 15508, 304, 279, 37398, 13, 3161, 220, 868, 52957, 2163, 279, 6566, 374, 8036, 449, 264, 26438, 11, 264, 38052, 11, 323, 264, 15676, 26438, 409, 1512, 3210, 10223, 1139, 264, 905, 10269, 45054, 13, 3383, 698, 37768, 369, 264, 57399, 37398, 4999, 2677, 1618, 369, 264, 3974, 2713, 389, 279, 7102, 627, 128001, 128000, 27414, 3772, 617, 513, 752, 291, 304, 1057, 6439, 13, 47193, 1057, 35693, 18084, 369, 9013, 323, 22736, 505, 5690, 11, 14318, 323, 6405, 374, 1457, 264, 961, 315, 1057, 7446, 30597, 13, 1952, 832, 1450, 584, 4250, 23973, 1202, 12939, 304, 1057, 6439, 323, 279, 3560, 433, 11335, 311, 4667, 603, 311, 279, 1917, 13, 1952, 279, 1023, 1450, 11, 433, 374, 3339, 1057, 61095, 57727, 627, 32, 3995, 3927, 374, 10374, 13489, 3116, 311, 4330, 4207, 264, 1938, 389, 3674, 3772, 13, 578, 6372, 315, 3674, 3772, 527, 264, 2763, 11, 2737, 279, 8389, 6305, 2288, 13, 3277, 4423, 38202, 3116, 4207, 264, 1938, 389, 872, 35693, 4641, 11, 433, 374, 1633, 4461, 311, 617, 8389, 5536, 389, 872, 8244, 2890, 13, 1102, 22223, 872, 8071, 14254, 25587, 627, 2181, 1101, 11384, 1124, 52192, 6784, 323, 36709, 13, 2030, 279, 1455, 8389, 5536, 433, 706, 389, 3995, 20663, 374, 430, 814, 1212, 13490, 2802, 304, 872, 7978, 13, 9393, 279, 1917, 45877, 389, 3674, 3772, 374, 779, 17104, 323, 27387, 430, 814, 10894, 922, 279, 8903, 13, 15483, 1274, 1505, 433, 2653, 311, 2586, 311, 3878, 449, 872, 7446, 2324, 50446, 627, 58276, 11, 27639, 1005, 315, 3674, 3772, 374, 9564, 3958, 2515, 389, 4236, 529, 65767, 58266, 13, 1252, 95317, 1005, 315, 81012, 323, 42887, 4339, 3235, 449, 40615, 17583, 9221, 264, 14464, 449, 1124, 13, 5513, 323, 5448, 315, 4236, 1701, 1776, 65587, 323, 1495, 44658, 527, 3970, 54828, 682, 279, 892, 13, 1115, 374, 57376, 6671, 627, 7184, 449, 810, 16924, 323, 10758, 10721, 5108, 1139, 3157, 11, 2574, 527, 2133, 704, 315, 2585, 13, 34120, 1093, 56279, 11, 14318, 323, 73842, 30694, 527, 779, 57407, 430, 61095, 527, 48897, 872, 27498, 892, 304, 3339, 29948, 6946, 323, 17437, 1124, 2930, 13, 1102, 374, 9564, 3958, 2515, 389, 1057, 3674, 323, 16033, 2819, 2288, 13, 22172, 5084, 311, 387, 4560, 311, 1180, 1093, 264, 51912, 477, 737, 20227, 40501, 13, 1442, 584, 656, 539, 8108, 279, 10648, 315, 3674, 3772, 555, 1057, 61095, 11, 584, 690, 387, 23023, 1303, 922, 433, 304, 912, 892, 13, 128001, 128000, 791, 7327, 17076, 36002, 7404, 23488, 320, 3378, 8201, 8, 1051, 5762, 763, 17442, 323, 279, 78088, 58439, 18851, 4458, 574, 18677, 555, 1063, 315, 279, 8706, 5144, 304, 17076, 596, 16924, 5064, 627, 11458, 11, 279, 11401, 11709, 430, 1051, 41867, 555, 8954, 9958, 1051, 539, 26893, 555, 279, 32738, 13, 578, 46846, 323, 1742, 315, 40501, 17011, 3682, 48156, 323, 574, 60479, 627, 58276, 11, 473, 9345, 362, 309, 404, 374, 520, 279, 12588, 842, 315, 16033, 55671, 420, 892, 13, 1050, 47444, 1344, 587, 369, 1077, 46846, 11709, 11, 279, 4366, 10196, 1394, 63782, 12044, 9186, 6917, 3549, 459, 97932, 277, 439, 1364, 61018, 839, 304, 264, 63244, 819, 2320, 771, 37253, 1752, 28403, 520, 279, 1567, 449, 264, 342, 15556, 1203, 96235, 627, 13317, 291, 311, 279, 15748, 48156, 11, 1364, 22900, 279, 32738, 1606, 1077, 28403, 574, 61336, 439, 364, 92076, 6260, 24482, 1966, 279, 990, 4156, 11, 473, 9345, 362, 309, 404, 323, 14925, 1050, 71, 1543, 25273, 527, 682, 743, 311, 6917, 304, 468, 1662, 117560, 18989, 1739, 753, 14827, 3674, 23160, 4632, 4366, 451, 60430, 1050, 71, 818, 3234, 627, 47, 587, 40422, 24577, 473, 9345, 362, 309, 404, 374, 459, 10973, 92354, 889, 374, 1008, 3093, 555, 279, 32738, 369, 1077, 90712, 398, 88223, 323, 24415, 2564, 128001 ]
[ -100, 48, 25, 3639, 1587, 330, 543, 28133, 430, 4498, 1555, 311, 279, 1670, 6037, 1288, 387, 12504, 1, 3152, 30, 12838, 1054, 543, 28133, 430, 4498, 1555, 311, 279, 1670, 6037, 1288, 387, 12504, 863, 3152, 430, 856, 67168, 4893, 6037, 1288, 6068, 4395, 520, 279, 1212, 11, 1093, 420, 5380, 2, 2638, 279, 1670, 4947, 311, 6068, 198, 69800, 2898, 1198, 35890, 27241, 58042, 198, 69800, 2898, 1198, 35890, 32090, 58042, 198, 69800, 2898, 1198, 35890, 91179, 58042, 271, 2244, 1587, 433, 3152, 2555, 775, 1980, 32, 25, 1102, 3445, 430, 422, 499, 1541, 956, 617, 264, 6037, 304, 701, 6683, 430, 11951, 6276, 264, 10361, 1555, 1243, 433, 1288, 387, 12504, 13, 220, 41812, 330, 24539, 88, 4395, 7389, 358, 11951, 2187, 433, 23811, 40, 2846, 539, 459, 6933, 22409, 289, 450, 11, 3582, 11, 719, 13524, 499, 14749, 6933, 43252, 311, 2187, 1193, 1148, 499, 1390, 1555, 323, 6068, 279, 2800, 382, 32, 25, 7566, 11, 430, 596, 7041, 1148, 433, 3445, 320, 438, 3250, 956, 3152, 4205, 775, 4390, 49314, 433, 596, 264, 4947, 11, 323, 499, 649, 743, 701, 1866, 11911, 389, 701, 3966, 323, 889, 701, 3685, 11811, 527, 13, 362, 58042, 4947, 690, 1501, 709, 439, 330, 42231, 1, 994, 499, 8737, 279, 2700, 449, 308, 2235, 11, 20444, 264, 3680, 7582, 4947, 690, 1501, 330, 35187, 1, 4521, 576, 374, 1606, 3680, 7582, 22014, 459, 85088, 70422, 1984, 1203, 11, 20806, 279, 1732, 21583, 1440, 430, 1070, 374, 912, 2532, 14624, 389, 430, 2700, 3573, 4627, 8718, 2656, 1, 374, 279, 14595, 1217, 1984, 4390, 128001, -100, 97602, 7742, 706, 8208, 505, 264, 35149, 2930, 7351, 311, 264, 7447, 70173, 18160, 37419, 1567, 13, 1666, 8244, 24910, 5376, 1475, 1060, 11, 3794, 6666, 369, 1884, 10736, 369, 9131, 6108, 11351, 649, 387, 264, 8815, 627, 8142, 1690, 11351, 5042, 14638, 311, 3967, 33149, 11, 1023, 93360, 1427, 311, 58951, 7742, 439, 1648, 311, 9504, 502, 33149, 430, 6062, 2643, 539, 617, 14675, 311, 872, 9131, 13, 6914, 753, 1935, 264, 1427, 520, 264, 2478, 502, 6848, 369, 220, 679, 24, 430, 93360, 2643, 1390, 311, 1456, 704, 311, 5662, 2225, 502, 323, 6484, 33149, 627, 2170, 279, 11812, 7532, 1120, 6222, 11, 73842, 53954, 1389, 264, 48295, 5526, 2835, 11821, 6505, 917, 1389, 374, 1664, 5922, 3411, 1139, 13, 674, 97602, 41299, 420, 1060, 690, 4661, 7995, 1304, 1202, 1648, 311, 73842, 53954, 449, 14992, 3932, 11, 323, 420, 1436, 387, 264, 2294, 1648, 311, 636, 264, 4062, 1984, 704, 311, 264, 502, 10877, 13, 1226, 7070, 4284, 430, 93360, 636, 389, 73842, 53954, 31373, 4856, 1109, 3010, 13971, 11, 323, 58951, 7742, 374, 264, 2294, 2944, 311, 656, 433, 31373, 627, 49, 750, 11130, 753, 14734, 311, 14734, 37419, 5452, 5825, 7808, 19826, 369, 27415, 62380, 323, 2128, 27415, 62380, 369, 2225, 8776, 323, 32558, 21343, 13, 6104, 1690, 93360, 10932, 311, 7195, 264, 25968, 2199, 369, 58951, 7742, 11, 3885, 990, 311, 636, 264, 2010, 1212, 389, 24910, 323, 1893, 264, 2539, 14734, 311, 14734, 37419, 4901, 2212, 58951, 7742, 11, 6118, 6041, 264, 2305, 1603, 279, 2466, 1938, 627, 2409, 264, 2539, 4901, 11, 93360, 649, 4305, 7808, 19826, 539, 1193, 1555, 279, 4553, 2305, 11, 719, 5423, 649, 11415, 1124, 2391, 279, 220, 1187, 4207, 2768, 34711, 7159, 13, 1226, 4070, 3970, 420, 990, 311, 2294, 2450, 369, 8403, 1778, 439, 279, 8096, 622, 13, 13585, 5114, 11, 323, 584, 7070, 15253, 904, 33184, 311, 733, 420, 6149, 627, 8142, 1690, 93360, 1005, 12864, 21258, 304, 872, 1060, 13368, 37419, 21343, 11, 6376, 709, 9248, 323, 79118, 369, 58951, 7742, 374, 2753, 4279, 13, 362, 502, 3072, 389, 279, 59800, 11130, 5452, 420, 1060, 369, 25968, 6959, 374, 1057, 7073, 4718, 14484, 4668, 627, 7968, 4718, 14484, 15714, 93360, 6847, 743, 709, 264, 9264, 389, 872, 25968, 6959, 430, 690, 9651, 5376, 279, 2539, 5536, 315, 264, 25968, 304, 12976, 311, 1268, 1690, 2489, 388, 617, 7378, 311, 16136, 13, 1789, 2937, 11, 422, 1070, 527, 1403, 1274, 477, 5220, 430, 617, 7378, 311, 2489, 904, 25968, 11, 1243, 264, 400, 1041, 18160, 25968, 690, 9651, 3113, 439, 264, 400, 3101, 25968, 0, 23212, 11, 279, 33184, 649, 743, 264, 9198, 3060, 311, 923, 810, 54917, 311, 279, 2489, 323, 5255, 304, 9306, 449, 279, 12864, 35558, 753, 1715, 627, 2028, 955, 315, 8147, 12864, 5828, 1431, 2561, 1603, 369, 58951, 7742, 11, 323, 584, 1781, 420, 374, 264, 2294, 3072, 311, 35608, 1862, 304, 220, 679, 24, 4999, 128001, -100, 64276, 13656, 369, 8121, 12661, 287, 744, 627, 791, 8121, 12661, 287, 744, 320, 64276, 8, 374, 40056, 315, 220, 1187, 549, 815, 13, 3109, 29799, 47710, 430, 12960, 220, 717, 11, 931, 8931, 3485, 279, 9578, 304, 24473, 86228, 779, 430, 3892, 527, 2744, 304, 1684, 505, 904, 2361, 13, 578, 1887, 374, 6319, 311, 3493, 15603, 39825, 3600, 449, 459, 13708, 24950, 505, 220, 605, 311, 220, 868, 20645, 13, 18549, 3813, 2038, 20682, 3932, 311, 77277, 7041, 1405, 872, 11731, 477, 12032, 527, 520, 904, 892, 11, 12660, 304, 279, 1917, 13, 24586, 311, 9099, 18912, 6103, 323, 24088, 27605, 6103, 11, 4869, 11, 810, 24473, 7571, 27121, 527, 653, 1617, 467, 481, 449, 5410, 24229, 13, 87597, 4787, 649, 1101, 7958, 24229, 17738, 323, 872, 19163, 892, 389, 9420, 627, 3947, 527, 1403, 24229, 3600, 304, 5784, 25, 1389, 42770, 1082, 12661, 5475, 320, 4505, 50, 1680, 1115, 2532, 374, 1511, 555, 279, 549, 815, 13, 6011, 315, 16777, 323, 19144, 40531, 369, 4868, 10096, 13, 1389, 12028, 12661, 287, 5475, 320, 4695, 50, 1680, 1115, 2532, 374, 2561, 520, 912, 6900, 311, 682, 15603, 30028, 3932, 13, 59656, 6319, 439, 264, 6411, 1887, 555, 279, 549, 815, 13, 6011, 315, 16777, 311, 7417, 15194, 17357, 315, 1202, 11811, 11, 24229, 706, 8040, 1139, 264, 15603, 15919, 449, 7447, 25700, 3600, 505, 2559, 74249, 8522, 311, 18751, 11, 810, 23711, 6305, 13, 7357, 893, 28010, 19297, 505, 9515, 323, 25761, 323, 18198, 1523, 311, 2849, 18084, 323, 33271, 86, 9296, 649, 387, 76981, 3847, 449, 24229, 5557, 13, 6193, 279, 1566, 13515, 11, 7859, 5219, 315, 13147, 11, 2626, 323, 1524, 3070, 11731, 6920, 24229, 7766, 323, 6067, 369, 872, 5370, 15194, 3966, 627, 8140, 24229, 14291, 706, 264, 2678, 41032, 430, 21879, 17738, 505, 264, 83486, 315, 24229, 47710, 13, 12362, 279, 18912, 315, 8450, 23991, 505, 5361, 47710, 11, 279, 14291, 48517, 1202, 1866, 2361, 323, 4732, 13, 578, 9063, 1380, 45803, 279, 16997, 2819, 1203, 927, 264, 24088, 4009, 13, 10067, 323, 3388, 828, 374, 1243, 23700, 311, 1057, 16692, 627, 37, 19510, 20258, 649, 8891, 7458, 7351, 389, 14370, 323, 7068, 6821, 29040, 6149, 3649, 11, 3009, 3813, 3529, 2060, 323, 1023, 15525, 2038, 627, 72604, 555, 24327, 64207, 128001, -100, 38, 3714, 751, 78, 374, 279, 6864, 315, 279, 384, 621, 90492, 17271, 11, 7559, 220, 975, 52957, 505, 279, 14221, 637, 12301, 1122, 15379, 13, 578, 41582, 2457, 1203, 311, 279, 220, 23, 339, 9478, 323, 279, 11049, 1990, 279, 480, 8869, 323, 70952, 751, 78, 374, 459, 2362, 832, 1101, 13, 1102, 574, 439, 1317, 4227, 439, 220, 5926, 22, 994, 264, 6566, 8220, 1618, 13, 1115, 574, 279, 480, 8869, 14002, 994, 42592, 78, 426, 17872, 574, 304, 279, 3063, 439, 1022, 1938, 832, 627, 791, 8736, 315, 6566, 220, 22, 304, 14002, 220, 679, 20, 7846, 1431, 387, 1790, 1344, 1683, 13, 1102, 753, 1193, 1306, 279, 220, 1490, 52957, 304, 279, 61858, 279, 1176, 220, 1490, 9099, 73635, 5101, 13, 3161, 220, 5245, 52957, 2884, 279, 30803, 1522, 11226, 315, 22463, 627, 2170, 71304, 269, 1104, 279, 6149, 1253, 1427, 11, 279, 30803, 1288, 387, 7029, 15508, 304, 279, 37398, 13, 3161, 220, 868, 52957, 2163, 279, 6566, 374, 8036, 449, 264, 26438, 11, 264, 38052, 11, 323, 264, 15676, 26438, 409, 1512, 3210, 10223, 1139, 264, 905, 10269, 45054, 13, 3383, 698, 37768, 369, 264, 57399, 37398, 4999, 2677, 1618, 369, 264, 3974, 2713, 389, 279, 7102, 627, 128001, -100, 27414, 3772, 617, 513, 752, 291, 304, 1057, 6439, 13, 47193, 1057, 35693, 18084, 369, 9013, 323, 22736, 505, 5690, 11, 14318, 323, 6405, 374, 1457, 264, 961, 315, 1057, 7446, 30597, 13, 1952, 832, 1450, 584, 4250, 23973, 1202, 12939, 304, 1057, 6439, 323, 279, 3560, 433, 11335, 311, 4667, 603, 311, 279, 1917, 13, 1952, 279, 1023, 1450, 11, 433, 374, 3339, 1057, 61095, 57727, 627, 32, 3995, 3927, 374, 10374, 13489, 3116, 311, 4330, 4207, 264, 1938, 389, 3674, 3772, 13, 578, 6372, 315, 3674, 3772, 527, 264, 2763, 11, 2737, 279, 8389, 6305, 2288, 13, 3277, 4423, 38202, 3116, 4207, 264, 1938, 389, 872, 35693, 4641, 11, 433, 374, 1633, 4461, 311, 617, 8389, 5536, 389, 872, 8244, 2890, 13, 1102, 22223, 872, 8071, 14254, 25587, 627, 2181, 1101, 11384, 1124, 52192, 6784, 323, 36709, 13, 2030, 279, 1455, 8389, 5536, 433, 706, 389, 3995, 20663, 374, 430, 814, 1212, 13490, 2802, 304, 872, 7978, 13, 9393, 279, 1917, 45877, 389, 3674, 3772, 374, 779, 17104, 323, 27387, 430, 814, 10894, 922, 279, 8903, 13, 15483, 1274, 1505, 433, 2653, 311, 2586, 311, 3878, 449, 872, 7446, 2324, 50446, 627, 58276, 11, 27639, 1005, 315, 3674, 3772, 374, 9564, 3958, 2515, 389, 4236, 529, 65767, 58266, 13, 1252, 95317, 1005, 315, 81012, 323, 42887, 4339, 3235, 449, 40615, 17583, 9221, 264, 14464, 449, 1124, 13, 5513, 323, 5448, 315, 4236, 1701, 1776, 65587, 323, 1495, 44658, 527, 3970, 54828, 682, 279, 892, 13, 1115, 374, 57376, 6671, 627, 7184, 449, 810, 16924, 323, 10758, 10721, 5108, 1139, 3157, 11, 2574, 527, 2133, 704, 315, 2585, 13, 34120, 1093, 56279, 11, 14318, 323, 73842, 30694, 527, 779, 57407, 430, 61095, 527, 48897, 872, 27498, 892, 304, 3339, 29948, 6946, 323, 17437, 1124, 2930, 13, 1102, 374, 9564, 3958, 2515, 389, 1057, 3674, 323, 16033, 2819, 2288, 13, 22172, 5084, 311, 387, 4560, 311, 1180, 1093, 264, 51912, 477, 737, 20227, 40501, 13, 1442, 584, 656, 539, 8108, 279, 10648, 315, 3674, 3772, 555, 1057, 61095, 11, 584, 690, 387, 23023, 1303, 922, 433, 304, 912, 892, 13, 128001, -100, 791, 7327, 17076, 36002, 7404, 23488, 320, 3378, 8201, 8, 1051, 5762, 763, 17442, 323, 279, 78088, 58439, 18851, 4458, 574, 18677, 555, 1063, 315, 279, 8706, 5144, 304, 17076, 596, 16924, 5064, 627, 11458, 11, 279, 11401, 11709, 430, 1051, 41867, 555, 8954, 9958, 1051, 539, 26893, 555, 279, 32738, 13, 578, 46846, 323, 1742, 315, 40501, 17011, 3682, 48156, 323, 574, 60479, 627, 58276, 11, 473, 9345, 362, 309, 404, 374, 520, 279, 12588, 842, 315, 16033, 55671, 420, 892, 13, 1050, 47444, 1344, 587, 369, 1077, 46846, 11709, 11, 279, 4366, 10196, 1394, 63782, 12044, 9186, 6917, 3549, 459, 97932, 277, 439, 1364, 61018, 839, 304, 264, 63244, 819, 2320, 771, 37253, 1752, 28403, 520, 279, 1567, 449, 264, 342, 15556, 1203, 96235, 627, 13317, 291, 311, 279, 15748, 48156, 11, 1364, 22900, 279, 32738, 1606, 1077, 28403, 574, 61336, 439, 364, 92076, 6260, 24482, 1966, 279, 990, 4156, 11, 473, 9345, 362, 309, 404, 323, 14925, 1050, 71, 1543, 25273, 527, 682, 743, 311, 6917, 304, 468, 1662, 117560, 18989, 1739, 753, 14827, 3674, 23160, 4632, 4366, 451, 60430, 1050, 71, 818, 3234, 627, 47, 587, 40422, 24577, 473, 9345, 362, 309, 404, 374, 459, 10973, 92354, 889, 374, 1008, 3093, 555, 279, 32738, 369, 1077, 90712, 398, 88223, 323, 24415, 2564, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217 ]
[ 128000, 28671, 74, 4264, 18991, 1253, 387, 279, 24417, 323, 1455, 15325, 18991, 15105, 5029, 1203, 311, 14154, 3115, 13, 578, 3925, 315, 41044, 4264, 18991, 706, 1027, 51400, 1203, 311, 5734, 2391, 279, 19508, 74495, 320, 16415, 4235, 6804, 24, 9827, 570, 1115, 1749, 1176, 9922, 304, 264, 66352, 1376, 304, 5734, 2391, 279, 19508, 74495, 320, 16415, 4235, 6804, 24, 9827, 570, 6457, 3952, 3412, 315, 279, 4623, 311, 1005, 41044, 439, 264, 11546, 11, 323, 11084, 279, 1920, 369, 1690, 1667, 13, 2468, 420, 892, 357, 967, 8839, 1051, 4018, 704, 315, 5684, 323, 279, 11546, 574, 56874, 505, 3823, 7013, 13, 800, 3168, 62726, 1051, 1511, 311, 5457, 27513, 1555, 279, 11546, 8800, 279, 13354, 13, 24586, 311, 279, 82484, 323, 20900, 315, 41044, 304, 279, 2800, 315, 279, 1917, 3582, 11, 4264, 18991, 3952, 264, 1418, 311, 1505, 1202, 7693, 11, 3156, 810, 31368, 2561, 41044, 11546, 574, 2561, 304, 279, 220, 8258, 15, 82, 11, 323, 2802, 304, 11104, 4606, 6137, 311, 636, 9749, 627, 644, 279, 220, 1114, 339, 9478, 41044, 15670, 1051, 1694, 1511, 304, 9822, 439, 264, 1648, 315, 18991, 8800, 13354, 13, 800, 3168, 62726, 1051, 2103, 1694, 1511, 439, 264, 1648, 311, 4585, 27513, 1555, 279, 11546, 13, 1102, 574, 1618, 430, 279, 6725, 315, 42949, 41044, 927, 264, 4124, 311, 1862, 357, 967, 8839, 574, 33230, 719, 433, 374, 1457, 3967, 555, 8884, 627, 644, 279, 36944, 62655, 28200, 11, 433, 1766, 1202, 1648, 311, 11104, 4606, 1405, 433, 6244, 264, 21102, 1749, 369, 18991, 323, 67633, 13, 19292, 279, 1455, 3062, 13970, 4500, 315, 279, 4264, 18991, 1920, 574, 1903, 304, 279, 3389, 220, 9367, 15, 82, 304, 2225, 5270, 323, 279, 6560, 11, 1701, 4528, 16565, 719, 2133, 555, 2204, 5144, 13, 1115, 3952, 279, 1920, 315, 4264, 18991, 4726, 11, 555, 1701, 37123, 5684, 92809, 357, 967, 8839, 63712, 304, 220, 9674, 22, 11, 719, 1051, 1243, 8521, 1139, 264, 4124, 11, 779, 430, 279, 27513, 1436, 1243, 387, 9770, 1555, 1124, 555, 1701, 264, 23506, 274, 17548, 99494, 13, 578, 1005, 315, 264, 4124, 449, 1521, 36301, 357, 967, 8839, 574, 2663, 279, 82081, 385, 3612, 304, 279, 6560, 11, 323, 279, 83530, 3257, 304, 279, 7427, 11, 323, 1511, 264, 7060, 323, 94761, 37123, 291, 5684, 2663, 74108, 3394, 627, 791, 6498, 1543, 33007, 22021, 63712, 279, 4264, 17124, 1376, 1455, 11537, 304, 279, 11104, 1917, 304, 220, 7028, 22, 13, 6104, 4606, 574, 11784, 311, 279, 1920, 304, 279, 220, 972, 339, 9478, 11, 433, 1053, 1935, 279, 79010, 315, 41044, 11546, 323, 8518, 1005, 315, 279, 1920, 311, 1304, 433, 810, 2561, 13, 22021, 753, 1005, 315, 813, 63712, 1920, 574, 15871, 1511, 369, 18991, 11646, 7147, 3504, 826, 389, 41044, 11, 55115, 11, 5684, 323, 1023, 7060, 53054, 627, 644, 279, 220, 5162, 15, 82, 11, 279, 3723, 4273, 323, 1023, 5961, 10534, 264, 1396, 315, 3674, 7640, 11, 2737, 279, 16803, 10734, 11639, 11, 3278, 753, 3268, 323, 7294, 11710, 19567, 13, 57135, 279, 6848, 430, 62425, 19567, 7612, 3772, 11, 323, 5554, 2857, 2240, 18991, 3984, 264, 1749, 311, 1893, 20441, 14515, 13, 20783, 323, 13820, 27083, 9687, 1268, 4264, 43245, 287, 12823, 1436, 1520, 1124, 8356, 3831, 11, 34966, 5448, 10819, 1109, 1023, 12823, 11, 1778, 439, 19354, 13, 53123, 11, 4264, 17124, 259, 49760, 323, 1023, 3772, 6244, 459, 3062, 5507, 1511, 369, 32692, 7645, 13, 3861, 315, 279, 1455, 27373, 5554, 2857, 2240, 53862, 574, 25871, 5111, 8619, 753, 220, 5162, 17, 77460, 7923, 1625, 331, 2345, 2534, 2740, 11, 279, 2217, 6244, 459, 4706, 315, 459, 4706, 627, 15724, 11, 4264, 18991, 374, 459, 6625, 11, 5526, 1194, 28936, 15105, 13, 763, 2144, 279, 2626, 315, 4264, 18991, 8800, 67556, 374, 779, 5526, 11, 433, 9815, 369, 927, 4376, 279, 4264, 18991, 2884, 304, 279, 2326, 3432, 13, 128001, 128000, 791, 1972, 6425, 374, 311, 539, 5457, 3828, 477, 8334, 23939, 389, 3060, 10026, 13, 6914, 279, 10585, 5268, 1148, 814, 1093, 13, 1442, 264, 3828, 6944, 264, 63989, 12585, 11, 7155, 13, 1442, 264, 8334, 6944, 311, 1514, 449, 264, 7804, 11, 51217, 13, 4418, 956, 1304, 1124, 2733, 3958, 369, 19762, 311, 1514, 449, 264, 22068, 430, 4536, 956, 61149, 7119, 1124, 323, 1456, 311, 387, 439, 25694, 323, 21277, 439, 279, 2748, 11761, 439, 499, 649, 387, 13, 358, 12491, 994, 358, 71683, 275, 420, 220, 19, 43438, 2362, 8334, 323, 568, 3585, 704, 2555, 568, 13452, 11, 2019, 264, 63635, 15845, 304, 279, 7724, 17895, 11, 719, 2795, 13305, 649, 956, 10051, 18718, 13, 1666, 3117, 439, 1742, 315, 279, 15845, 13835, 814, 2107, 279, 43475, 323, 8996, 11, 719, 2697, 13305, 649, 10051, 18718, 422, 814, 1390, 1131, 275, 596, 1120, 264, 1933, 128001 ]
[ -100, 28671, 74, 4264, 18991, 1253, 387, 279, 24417, 323, 1455, 15325, 18991, 15105, 5029, 1203, 311, 14154, 3115, 13, 578, 3925, 315, 41044, 4264, 18991, 706, 1027, 51400, 1203, 311, 5734, 2391, 279, 19508, 74495, 320, 16415, 4235, 6804, 24, 9827, 570, 1115, 1749, 1176, 9922, 304, 264, 66352, 1376, 304, 5734, 2391, 279, 19508, 74495, 320, 16415, 4235, 6804, 24, 9827, 570, 6457, 3952, 3412, 315, 279, 4623, 311, 1005, 41044, 439, 264, 11546, 11, 323, 11084, 279, 1920, 369, 1690, 1667, 13, 2468, 420, 892, 357, 967, 8839, 1051, 4018, 704, 315, 5684, 323, 279, 11546, 574, 56874, 505, 3823, 7013, 13, 800, 3168, 62726, 1051, 1511, 311, 5457, 27513, 1555, 279, 11546, 8800, 279, 13354, 13, 24586, 311, 279, 82484, 323, 20900, 315, 41044, 304, 279, 2800, 315, 279, 1917, 3582, 11, 4264, 18991, 3952, 264, 1418, 311, 1505, 1202, 7693, 11, 3156, 810, 31368, 2561, 41044, 11546, 574, 2561, 304, 279, 220, 8258, 15, 82, 11, 323, 2802, 304, 11104, 4606, 6137, 311, 636, 9749, 627, 644, 279, 220, 1114, 339, 9478, 41044, 15670, 1051, 1694, 1511, 304, 9822, 439, 264, 1648, 315, 18991, 8800, 13354, 13, 800, 3168, 62726, 1051, 2103, 1694, 1511, 439, 264, 1648, 311, 4585, 27513, 1555, 279, 11546, 13, 1102, 574, 1618, 430, 279, 6725, 315, 42949, 41044, 927, 264, 4124, 311, 1862, 357, 967, 8839, 574, 33230, 719, 433, 374, 1457, 3967, 555, 8884, 627, 644, 279, 36944, 62655, 28200, 11, 433, 1766, 1202, 1648, 311, 11104, 4606, 1405, 433, 6244, 264, 21102, 1749, 369, 18991, 323, 67633, 13, 19292, 279, 1455, 3062, 13970, 4500, 315, 279, 4264, 18991, 1920, 574, 1903, 304, 279, 3389, 220, 9367, 15, 82, 304, 2225, 5270, 323, 279, 6560, 11, 1701, 4528, 16565, 719, 2133, 555, 2204, 5144, 13, 1115, 3952, 279, 1920, 315, 4264, 18991, 4726, 11, 555, 1701, 37123, 5684, 92809, 357, 967, 8839, 63712, 304, 220, 9674, 22, 11, 719, 1051, 1243, 8521, 1139, 264, 4124, 11, 779, 430, 279, 27513, 1436, 1243, 387, 9770, 1555, 1124, 555, 1701, 264, 23506, 274, 17548, 99494, 13, 578, 1005, 315, 264, 4124, 449, 1521, 36301, 357, 967, 8839, 574, 2663, 279, 82081, 385, 3612, 304, 279, 6560, 11, 323, 279, 83530, 3257, 304, 279, 7427, 11, 323, 1511, 264, 7060, 323, 94761, 37123, 291, 5684, 2663, 74108, 3394, 627, 791, 6498, 1543, 33007, 22021, 63712, 279, 4264, 17124, 1376, 1455, 11537, 304, 279, 11104, 1917, 304, 220, 7028, 22, 13, 6104, 4606, 574, 11784, 311, 279, 1920, 304, 279, 220, 972, 339, 9478, 11, 433, 1053, 1935, 279, 79010, 315, 41044, 11546, 323, 8518, 1005, 315, 279, 1920, 311, 1304, 433, 810, 2561, 13, 22021, 753, 1005, 315, 813, 63712, 1920, 574, 15871, 1511, 369, 18991, 11646, 7147, 3504, 826, 389, 41044, 11, 55115, 11, 5684, 323, 1023, 7060, 53054, 627, 644, 279, 220, 5162, 15, 82, 11, 279, 3723, 4273, 323, 1023, 5961, 10534, 264, 1396, 315, 3674, 7640, 11, 2737, 279, 16803, 10734, 11639, 11, 3278, 753, 3268, 323, 7294, 11710, 19567, 13, 57135, 279, 6848, 430, 62425, 19567, 7612, 3772, 11, 323, 5554, 2857, 2240, 18991, 3984, 264, 1749, 311, 1893, 20441, 14515, 13, 20783, 323, 13820, 27083, 9687, 1268, 4264, 43245, 287, 12823, 1436, 1520, 1124, 8356, 3831, 11, 34966, 5448, 10819, 1109, 1023, 12823, 11, 1778, 439, 19354, 13, 53123, 11, 4264, 17124, 259, 49760, 323, 1023, 3772, 6244, 459, 3062, 5507, 1511, 369, 32692, 7645, 13, 3861, 315, 279, 1455, 27373, 5554, 2857, 2240, 53862, 574, 25871, 5111, 8619, 753, 220, 5162, 17, 77460, 7923, 1625, 331, 2345, 2534, 2740, 11, 279, 2217, 6244, 459, 4706, 315, 459, 4706, 627, 15724, 11, 4264, 18991, 374, 459, 6625, 11, 5526, 1194, 28936, 15105, 13, 763, 2144, 279, 2626, 315, 4264, 18991, 8800, 67556, 374, 779, 5526, 11, 433, 9815, 369, 927, 4376, 279, 4264, 18991, 2884, 304, 279, 2326, 3432, 13, 128001, -100, 791, 1972, 6425, 374, 311, 539, 5457, 3828, 477, 8334, 23939, 389, 3060, 10026, 13, 6914, 279, 10585, 5268, 1148, 814, 1093, 13, 1442, 264, 3828, 6944, 264, 63989, 12585, 11, 7155, 13, 1442, 264, 8334, 6944, 311, 1514, 449, 264, 7804, 11, 51217, 13, 4418, 956, 1304, 1124, 2733, 3958, 369, 19762, 311, 1514, 449, 264, 22068, 430, 4536, 956, 61149, 7119, 1124, 323, 1456, 311, 387, 439, 25694, 323, 21277, 439, 279, 2748, 11761, 439, 499, 649, 387, 13, 358, 12491, 994, 358, 71683, 275, 420, 220, 19, 43438, 2362, 8334, 323, 568, 3585, 704, 2555, 568, 13452, 11, 2019, 264, 63635, 15845, 304, 279, 7724, 17895, 11, 719, 2795, 13305, 649, 956, 10051, 18718, 13, 1666, 3117, 439, 1742, 315, 279, 15845, 13835, 814, 2107, 279, 43475, 323, 8996, 11, 719, 2697, 13305, 649, 10051, 18718, 422, 814, 1390, 1131, 275, 596, 1120, 264, 1933, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149 ]
[ 128000, 791, 52870, 48688, 323, 279, 1561, 27359, 1053, 3063, 311, 264, 5614, 11, 17626, 3560, 315, 10423, 304, 279, 3723, 4273, 13, 12220, 279, 52870, 48688, 11, 1862, 369, 12128, 753, 3268, 19567, 323, 29590, 1053, 3063, 311, 33994, 1716, 9511, 323, 279, 1396, 315, 4207, 264, 12128, 574, 5535, 311, 617, 311, 990, 11, 369, 3187, 13, 549, 19271, 74289, 753, 38350, 990, 1054, 578, 60763, 863, 1053, 3063, 311, 84818, 3691, 14640, 13, 763, 279, 15508, 315, 51751, 1778, 439, 279, 39131, 55807, 10196, 380, 8351, 4027, 11, 16643, 4027, 14640, 1051, 11784, 13, 578, 53722, 5208, 315, 279, 52870, 11639, 9778, 6688, 1648, 311, 279, 1205, 369, 7029, 1355, 49642, 287, 323, 30462, 4442, 304, 279, 7100, 15508, 315, 5348, 6740, 323, 279, 8681, 46904, 2391, 279, 1561, 27359, 13, 17559, 7620, 11784, 1243, 11, 1093, 9983, 8398, 323, 31822, 11, 1053, 2349, 3778, 2324, 16058, 13, 7089, 7620, 11, 1093, 279, 16803, 1122, 45435, 31242, 323, 279, 468, 8201, 11, 1053, 539, 1193, 3493, 1790, 69875, 14740, 11, 719, 1053, 1101, 7417, 279, 14054, 323, 586, 4375, 304, 279, 3723, 4273, 369, 264, 1317, 892, 311, 2586, 627, 644, 4737, 1521, 7504, 11, 279, 3560, 315, 279, 3109, 574, 19407, 17626, 13, 12220, 279, 23053, 11639, 11, 439, 10555, 11, 13543, 574, 5946, 389, 4027, 14236, 11, 12128, 753, 3268, 11, 323, 3691, 2262, 13, 36530, 11, 264, 8294, 3109, 574, 8617, 2631, 311, 6106, 430, 1521, 502, 7016, 1051, 8272, 13, 578, 20192, 2834, 555, 279, 82859, 1903, 2324, 12207, 30549, 369, 279, 5578, 3778, 26, 990, 14097, 1051, 4018, 11, 1716, 9511, 574, 7347, 11, 1274, 1051, 912, 5129, 23069, 304, 12483, 304, 586, 27176, 320, 1820, 358, 299, 27610, 285, 27315, 6785, 304, 10780, 304, 220, 7028, 18, 11, 369, 3187, 11, 7577, 520, 3325, 220, 19666, 1274, 11, 323, 279, 1121, 574, 279, 24716, 8292, 315, 279, 22743, 3703, 26, 279, 84482, 38918, 41234, 6785, 304, 10406, 304, 220, 6393, 17, 11, 43169, 1664, 1306, 279, 35309, 1316, 315, 279, 52870, 29098, 11, 1101, 19543, 304, 31343, 304, 4027, 14236, 323, 1023, 2890, 323, 7296, 11193, 627, 16397, 4435, 5111, 358, 11, 264, 47891, 574, 743, 369, 23915, 1990, 279, 3109, 323, 9511, 13, 578, 5111, 37528, 8925, 574, 9749, 11, 902, 47672, 87952, 5788, 11, 20276, 7100, 828, 11, 323, 9152, 5070, 323, 7257, 7384, 11, 439, 1664, 439, 7111, 369, 5627, 311, 7417, 15374, 304, 279, 5788, 11, 23395, 11, 323, 8141, 315, 4208, 17135, 13, 578, 5165, 5111, 15277, 8925, 16495, 279, 23915, 315, 7487, 11, 889, 7378, 539, 311, 13471, 477, 24927, 87952, 5788, 304, 9473, 369, 220, 23, 21925, 990, 14097, 11, 6273, 2343, 369, 3278, 11, 323, 39599, 2343, 627, 27229, 58463, 73409, 1053, 387, 9277, 304, 279, 2361, 315, 77847, 3252, 279, 13225, 1990, 279, 52870, 48688, 323, 435, 7842, 753, 1561, 27359, 13, 1283, 34716, 264, 10824, 315, 586, 323, 879, 8603, 311, 5663, 279, 76506, 13, 18056, 568, 6532, 5678, 810, 304, 96178, 279, 8009, 7100, 6671, 810, 1109, 904, 1023, 4900, 1603, 1461, 1047, 11, 814, 2103, 1051, 39413, 311, 5663, 279, 76506, 13, 1283, 29091, 304, 586, 4375, 11, 1903, 2626, 17017, 2561, 11, 323, 17057, 51371, 13, 1952, 279, 1023, 1450, 11, 568, 1101, 7396, 11193, 430, 25983, 17393, 369, 13654, 11, 2737, 7859, 44995, 323, 19054, 13426, 311, 8335, 279, 8199, 13, 1102, 574, 59560, 430, 73409, 574, 279, 893, 2231, 304, 6900, 11, 323, 8965, 36197, 11, 369, 279, 1614, 315, 279, 8752, 323, 279, 16066, 315, 279, 1274, 26, 1306, 4435, 5111, 358, 11, 568, 1047, 1027, 304, 6900, 315, 3691, 16337, 304, 34061, 11, 323, 574, 13882, 37475, 369, 813, 38748, 990, 13, 14968, 555, 279, 892, 568, 2163, 279, 5929, 4783, 2768, 279, 18506, 555, 19372, 7462, 5770, 47042, 304, 220, 7285, 17, 11, 568, 574, 32614, 369, 813, 19661, 1740, 13071, 11, 323, 13118, 11, 1524, 36197, 369, 279, 8681, 46904, 13, 73409, 1047, 2728, 264, 2763, 315, 5149, 11, 719, 420, 5149, 1436, 539, 3665, 813, 586, 2217, 11, 8104, 994, 98953, 20158, 2403, 435, 7842, 11, 889, 18306, 75336, 20414, 311, 13654, 35047, 6153, 279, 8681, 46904, 743, 304, 304, 279, 220, 7285, 15, 82, 11, 19372, 7462, 5770, 47042, 574, 16689, 4900, 315, 279, 3723, 4273, 389, 264, 18336, 5452, 430, 6532, 15180, 287, 279, 3778, 1887, 11622, 13, 30538, 6355, 11, 568, 11887, 279, 1561, 27359, 11, 902, 1053, 19407, 9407, 279, 3560, 315, 279, 6918, 3109, 304, 1274, 753, 18254, 6439, 13, 578, 7620, 16070, 11299, 1139, 2380, 7353, 11306, 11, 16337, 11, 13654, 11, 323, 15180, 13, 53495, 574, 3984, 1555, 14507, 11, 1778, 439, 3674, 4868, 11, 323, 1101, 1555, 2683, 7620, 1778, 439, 279, 393, 27486, 11, 92574, 11, 323, 468, 8201, 13, 4314, 7620, 1101, 3779, 279, 8935, 311, 8396, 430, 814, 13241, 586, 4375, 11, 14054, 11, 5099, 13, 1789, 13654, 11, 814, 10968, 389, 5064, 11, 25341, 11, 323, 30029, 13, 9176, 16595, 9863, 315, 13543, 574, 1101, 5946, 11, 2737, 452, 61656, 11, 279, 48197, 11, 323, 279, 6007, 32, 11, 902, 10434, 279, 19091, 7580, 315, 58499, 279, 10873, 389, 279, 24097, 11188, 323, 1101, 8405, 3428, 41238, 18200, 6957, 279, 19624, 4987, 13, 578, 1455, 42071, 31343, 3782, 922, 449, 279, 9886, 315, 9983, 8398, 11, 279, 14930, 15277, 35653, 3298, 11, 279, 52475, 3298, 11, 323, 279, 46272, 323, 19224, 3298, 320, 37241, 3339, 15466, 393, 13, 24573, 11, 832, 315, 279, 1455, 39633, 3300, 54138, 388, 304, 279, 3224, 11, 21892, 315, 279, 46272, 323, 19224, 9849, 11, 574, 8530, 439, 63189, 264, 5873, 439, 3010, 3339, 264, 21102, 18088, 24145, 37756, 311, 279, 3723, 15422, 1193, 264, 2478, 2875, 1667, 3010, 4390, 8142, 279, 1561, 27359, 1550, 1790, 1695, 323, 6197, 311, 14726, 430, 584, 907, 3432, 439, 26154, 5596, 315, 3778, 8396, 11, 1778, 439, 9983, 8398, 323, 31822, 11, 279, 46904, 1550, 539, 7373, 12157, 3156, 279, 31188, 315, 4435, 5111, 8105, 13, 3861, 2944, 369, 420, 304, 4040, 374, 2555, 3629, 10555, 555, 50851, 315, 1054, 46904, 52443, 863, 56435, 25, 430, 872, 56435, 11, 1317, 1306, 279, 14247, 7100, 8137, 574, 520, 23542, 11, 1051, 44040, 311, 8493, 3300, 11, 323, 1550, 539, 1421, 2496, 6468, 13945, 18661, 12205, 1139, 279, 8752, 11, 8994, 279, 2144, 430, 1274, 3815, 779, 389, 264, 3544, 5569, 1053, 617, 6197, 311, 16048, 13, 58603, 11, 420, 706, 5762, 2753, 837, 304, 279, 1510, 7100, 76506, 11, 719, 10374, 374, 2103, 1523, 13, 9029, 656, 539, 6562, 311, 8493, 1306, 3515, 10534, 832, 1778, 1567, 315, 279, 28954, 1694, 44092, 704, 505, 1234, 1124, 11, 14392, 433, 1436, 3621, 1578, 1120, 439, 6847, 323, 430, 814, 22525, 311, 387, 10235, 627, 791, 20282, 315, 7191, 3109, 22315, 304, 18254, 2324, 7995, 6137, 304, 279, 52870, 48688, 11, 323, 1790, 29869, 1695, 574, 2884, 1070, 13, 1102, 1053, 387, 2653, 311, 13085, 7620, 18538, 1524, 439, 3389, 439, 507, 34245, 323, 279, 27250, 11, 902, 1514, 1778, 264, 6908, 3560, 304, 279, 2890, 315, 1057, 7140, 3432, 11, 2085, 279, 95844, 17551, 555, 279, 16418, 1924, 13, 578, 1561, 27359, 11, 304, 2543, 11, 7373, 24532, 291, 279, 3109, 304, 264, 3560, 1405, 433, 574, 11, 311, 264, 3738, 13112, 11, 36977, 369, 279, 57930, 315, 1202, 1274, 13, 1115, 574, 30191, 13, 1102, 1101, 59754, 430, 279, 12411, 10423, 1047, 264, 47891, 315, 89501, 304, 11292, 7100, 15082, 369, 279, 23460, 315, 1202, 10495, 13, 93696, 1139, 279, 3723, 4273, 8752, 1101, 6244, 5410, 6725, 11, 902, 709, 3156, 430, 1486, 1047, 10213, 10968, 389, 7224, 430, 1053, 617, 264, 2343, 12744, 323, 264, 50401, 8935, 369, 279, 3109, 5196, 320, 21470, 439, 279, 49136, 53748, 8, 4856, 1109, 5042, 387, 264, 38748, 31257, 13, 1115, 5614, 3560, 315, 3109, 374, 279, 832, 430, 584, 8965, 6725, 3432, 11, 323, 433, 1053, 387, 5107, 311, 13085, 5270, 2085, 433, 627, 99280, 11, 53215, 445, 2637, 323, 8840, 75612, 11, 12336, 469, 13, 1054, 1561, 27359, 63348, 323, 279, 65336, 315, 279, 8681, 198, 7996, 11433, 25, 362, 3331, 11964, 46780, 18825, 2029, 10139, 315, 31597, 38661, 11, 11119, 627, 7261, 11, 2360, 13, 220, 19, 320, 32559, 220, 1049, 19, 705, 12086, 13, 220, 25659, 12, 23713, 627, 42, 7211, 75, 11, 9641, 435, 13, 1054, 578, 54752, 315, 81689, 25, 8121, 2065, 11, 6168, 3294, 11, 323, 279, 198, 9207, 315, 10423, 2029, 3142, 17128, 10506, 13, 11119, 13, 220, 1399, 11, 26292, 220, 21, 13, 5348, 9336, 198, 51245, 388, 4953, 11, 12086, 21310, 12, 22640, 13, 220, 1049, 15, 627, 59742, 942, 11, 8611, 16172, 11, 323, 15490, 616, 6729, 11, 12433, 78, 13, 1054, 578, 1404, 323, 7036, 315, 3109, 487, 97280, 198, 10097, 48079, 449, 25442, 19287, 2029, 7665, 23362, 10506, 627, 19436, 220, 3391, 11, 37543, 220, 19, 4235, 21, 11, 5936, 220, 2550, 24, 11, 22521, 220, 23459, 4235, 24939, 627, 26287, 11, 31164, 356, 2637, 21293, 11, 32618, 445, 2637, 612, 8270, 11, 11291, 622, 13, 34871, 323, 66187, 304, 279, 3778, 198, 51213, 25, 362, 1561, 11346, 13, 3365, 273, 6798, 2493, 19383, 11, 1561, 16228, 25, 5075, 406, 560, 11166, 13, 220, 3753, 18, 627, 48, 3928, 19380, 11, 7957, 362, 13, 58014, 315, 6785, 27773, 13, 56054, 11, 12551, 25, 666, 7085, 268, 21579, 13, 220, 2550, 23, 627, 39379, 8148, 11, 10463, 11, 17472, 11, 26035, 11, 56207, 3520, 11, 8563, 11, 480, 494, 3258, 11, 7957, 11, 39175, 37733, 11, 31164, 345, 438, 28357, 478, 1543, 11, 19178, 13, 25274, 5270, 25, 362, 11346, 315, 279, 3723, 4273, 11, 20880, 220, 17, 512, 12834, 220, 9714, 20, 11, 37618, 220, 21, 339, 14398, 13, 8494, 11, 16327, 11, 6457, 11, 12126, 11, 12550, 11, 21181, 11, 18157, 11, 3723, 15422, 11, 3723, 4273, 25, 356, 85839, 21579, 13, 220, 679, 17, 13, 128001 ]
[ -100, 791, 52870, 48688, 323, 279, 1561, 27359, 1053, 3063, 311, 264, 5614, 11, 17626, 3560, 315, 10423, 304, 279, 3723, 4273, 13, 12220, 279, 52870, 48688, 11, 1862, 369, 12128, 753, 3268, 19567, 323, 29590, 1053, 3063, 311, 33994, 1716, 9511, 323, 279, 1396, 315, 4207, 264, 12128, 574, 5535, 311, 617, 311, 990, 11, 369, 3187, 13, 549, 19271, 74289, 753, 38350, 990, 1054, 578, 60763, 863, 1053, 3063, 311, 84818, 3691, 14640, 13, 763, 279, 15508, 315, 51751, 1778, 439, 279, 39131, 55807, 10196, 380, 8351, 4027, 11, 16643, 4027, 14640, 1051, 11784, 13, 578, 53722, 5208, 315, 279, 52870, 11639, 9778, 6688, 1648, 311, 279, 1205, 369, 7029, 1355, 49642, 287, 323, 30462, 4442, 304, 279, 7100, 15508, 315, 5348, 6740, 323, 279, 8681, 46904, 2391, 279, 1561, 27359, 13, 17559, 7620, 11784, 1243, 11, 1093, 9983, 8398, 323, 31822, 11, 1053, 2349, 3778, 2324, 16058, 13, 7089, 7620, 11, 1093, 279, 16803, 1122, 45435, 31242, 323, 279, 468, 8201, 11, 1053, 539, 1193, 3493, 1790, 69875, 14740, 11, 719, 1053, 1101, 7417, 279, 14054, 323, 586, 4375, 304, 279, 3723, 4273, 369, 264, 1317, 892, 311, 2586, 627, 644, 4737, 1521, 7504, 11, 279, 3560, 315, 279, 3109, 574, 19407, 17626, 13, 12220, 279, 23053, 11639, 11, 439, 10555, 11, 13543, 574, 5946, 389, 4027, 14236, 11, 12128, 753, 3268, 11, 323, 3691, 2262, 13, 36530, 11, 264, 8294, 3109, 574, 8617, 2631, 311, 6106, 430, 1521, 502, 7016, 1051, 8272, 13, 578, 20192, 2834, 555, 279, 82859, 1903, 2324, 12207, 30549, 369, 279, 5578, 3778, 26, 990, 14097, 1051, 4018, 11, 1716, 9511, 574, 7347, 11, 1274, 1051, 912, 5129, 23069, 304, 12483, 304, 586, 27176, 320, 1820, 358, 299, 27610, 285, 27315, 6785, 304, 10780, 304, 220, 7028, 18, 11, 369, 3187, 11, 7577, 520, 3325, 220, 19666, 1274, 11, 323, 279, 1121, 574, 279, 24716, 8292, 315, 279, 22743, 3703, 26, 279, 84482, 38918, 41234, 6785, 304, 10406, 304, 220, 6393, 17, 11, 43169, 1664, 1306, 279, 35309, 1316, 315, 279, 52870, 29098, 11, 1101, 19543, 304, 31343, 304, 4027, 14236, 323, 1023, 2890, 323, 7296, 11193, 627, 16397, 4435, 5111, 358, 11, 264, 47891, 574, 743, 369, 23915, 1990, 279, 3109, 323, 9511, 13, 578, 5111, 37528, 8925, 574, 9749, 11, 902, 47672, 87952, 5788, 11, 20276, 7100, 828, 11, 323, 9152, 5070, 323, 7257, 7384, 11, 439, 1664, 439, 7111, 369, 5627, 311, 7417, 15374, 304, 279, 5788, 11, 23395, 11, 323, 8141, 315, 4208, 17135, 13, 578, 5165, 5111, 15277, 8925, 16495, 279, 23915, 315, 7487, 11, 889, 7378, 539, 311, 13471, 477, 24927, 87952, 5788, 304, 9473, 369, 220, 23, 21925, 990, 14097, 11, 6273, 2343, 369, 3278, 11, 323, 39599, 2343, 627, 27229, 58463, 73409, 1053, 387, 9277, 304, 279, 2361, 315, 77847, 3252, 279, 13225, 1990, 279, 52870, 48688, 323, 435, 7842, 753, 1561, 27359, 13, 1283, 34716, 264, 10824, 315, 586, 323, 879, 8603, 311, 5663, 279, 76506, 13, 18056, 568, 6532, 5678, 810, 304, 96178, 279, 8009, 7100, 6671, 810, 1109, 904, 1023, 4900, 1603, 1461, 1047, 11, 814, 2103, 1051, 39413, 311, 5663, 279, 76506, 13, 1283, 29091, 304, 586, 4375, 11, 1903, 2626, 17017, 2561, 11, 323, 17057, 51371, 13, 1952, 279, 1023, 1450, 11, 568, 1101, 7396, 11193, 430, 25983, 17393, 369, 13654, 11, 2737, 7859, 44995, 323, 19054, 13426, 311, 8335, 279, 8199, 13, 1102, 574, 59560, 430, 73409, 574, 279, 893, 2231, 304, 6900, 11, 323, 8965, 36197, 11, 369, 279, 1614, 315, 279, 8752, 323, 279, 16066, 315, 279, 1274, 26, 1306, 4435, 5111, 358, 11, 568, 1047, 1027, 304, 6900, 315, 3691, 16337, 304, 34061, 11, 323, 574, 13882, 37475, 369, 813, 38748, 990, 13, 14968, 555, 279, 892, 568, 2163, 279, 5929, 4783, 2768, 279, 18506, 555, 19372, 7462, 5770, 47042, 304, 220, 7285, 17, 11, 568, 574, 32614, 369, 813, 19661, 1740, 13071, 11, 323, 13118, 11, 1524, 36197, 369, 279, 8681, 46904, 13, 73409, 1047, 2728, 264, 2763, 315, 5149, 11, 719, 420, 5149, 1436, 539, 3665, 813, 586, 2217, 11, 8104, 994, 98953, 20158, 2403, 435, 7842, 11, 889, 18306, 75336, 20414, 311, 13654, 35047, 6153, 279, 8681, 46904, 743, 304, 304, 279, 220, 7285, 15, 82, 11, 19372, 7462, 5770, 47042, 574, 16689, 4900, 315, 279, 3723, 4273, 389, 264, 18336, 5452, 430, 6532, 15180, 287, 279, 3778, 1887, 11622, 13, 30538, 6355, 11, 568, 11887, 279, 1561, 27359, 11, 902, 1053, 19407, 9407, 279, 3560, 315, 279, 6918, 3109, 304, 1274, 753, 18254, 6439, 13, 578, 7620, 16070, 11299, 1139, 2380, 7353, 11306, 11, 16337, 11, 13654, 11, 323, 15180, 13, 53495, 574, 3984, 1555, 14507, 11, 1778, 439, 3674, 4868, 11, 323, 1101, 1555, 2683, 7620, 1778, 439, 279, 393, 27486, 11, 92574, 11, 323, 468, 8201, 13, 4314, 7620, 1101, 3779, 279, 8935, 311, 8396, 430, 814, 13241, 586, 4375, 11, 14054, 11, 5099, 13, 1789, 13654, 11, 814, 10968, 389, 5064, 11, 25341, 11, 323, 30029, 13, 9176, 16595, 9863, 315, 13543, 574, 1101, 5946, 11, 2737, 452, 61656, 11, 279, 48197, 11, 323, 279, 6007, 32, 11, 902, 10434, 279, 19091, 7580, 315, 58499, 279, 10873, 389, 279, 24097, 11188, 323, 1101, 8405, 3428, 41238, 18200, 6957, 279, 19624, 4987, 13, 578, 1455, 42071, 31343, 3782, 922, 449, 279, 9886, 315, 9983, 8398, 11, 279, 14930, 15277, 35653, 3298, 11, 279, 52475, 3298, 11, 323, 279, 46272, 323, 19224, 3298, 320, 37241, 3339, 15466, 393, 13, 24573, 11, 832, 315, 279, 1455, 39633, 3300, 54138, 388, 304, 279, 3224, 11, 21892, 315, 279, 46272, 323, 19224, 9849, 11, 574, 8530, 439, 63189, 264, 5873, 439, 3010, 3339, 264, 21102, 18088, 24145, 37756, 311, 279, 3723, 15422, 1193, 264, 2478, 2875, 1667, 3010, 4390, 8142, 279, 1561, 27359, 1550, 1790, 1695, 323, 6197, 311, 14726, 430, 584, 907, 3432, 439, 26154, 5596, 315, 3778, 8396, 11, 1778, 439, 9983, 8398, 323, 31822, 11, 279, 46904, 1550, 539, 7373, 12157, 3156, 279, 31188, 315, 4435, 5111, 8105, 13, 3861, 2944, 369, 420, 304, 4040, 374, 2555, 3629, 10555, 555, 50851, 315, 1054, 46904, 52443, 863, 56435, 25, 430, 872, 56435, 11, 1317, 1306, 279, 14247, 7100, 8137, 574, 520, 23542, 11, 1051, 44040, 311, 8493, 3300, 11, 323, 1550, 539, 1421, 2496, 6468, 13945, 18661, 12205, 1139, 279, 8752, 11, 8994, 279, 2144, 430, 1274, 3815, 779, 389, 264, 3544, 5569, 1053, 617, 6197, 311, 16048, 13, 58603, 11, 420, 706, 5762, 2753, 837, 304, 279, 1510, 7100, 76506, 11, 719, 10374, 374, 2103, 1523, 13, 9029, 656, 539, 6562, 311, 8493, 1306, 3515, 10534, 832, 1778, 1567, 315, 279, 28954, 1694, 44092, 704, 505, 1234, 1124, 11, 14392, 433, 1436, 3621, 1578, 1120, 439, 6847, 323, 430, 814, 22525, 311, 387, 10235, 627, 791, 20282, 315, 7191, 3109, 22315, 304, 18254, 2324, 7995, 6137, 304, 279, 52870, 48688, 11, 323, 1790, 29869, 1695, 574, 2884, 1070, 13, 1102, 1053, 387, 2653, 311, 13085, 7620, 18538, 1524, 439, 3389, 439, 507, 34245, 323, 279, 27250, 11, 902, 1514, 1778, 264, 6908, 3560, 304, 279, 2890, 315, 1057, 7140, 3432, 11, 2085, 279, 95844, 17551, 555, 279, 16418, 1924, 13, 578, 1561, 27359, 11, 304, 2543, 11, 7373, 24532, 291, 279, 3109, 304, 264, 3560, 1405, 433, 574, 11, 311, 264, 3738, 13112, 11, 36977, 369, 279, 57930, 315, 1202, 1274, 13, 1115, 574, 30191, 13, 1102, 1101, 59754, 430, 279, 12411, 10423, 1047, 264, 47891, 315, 89501, 304, 11292, 7100, 15082, 369, 279, 23460, 315, 1202, 10495, 13, 93696, 1139, 279, 3723, 4273, 8752, 1101, 6244, 5410, 6725, 11, 902, 709, 3156, 430, 1486, 1047, 10213, 10968, 389, 7224, 430, 1053, 617, 264, 2343, 12744, 323, 264, 50401, 8935, 369, 279, 3109, 5196, 320, 21470, 439, 279, 49136, 53748, 8, 4856, 1109, 5042, 387, 264, 38748, 31257, 13, 1115, 5614, 3560, 315, 3109, 374, 279, 832, 430, 584, 8965, 6725, 3432, 11, 323, 433, 1053, 387, 5107, 311, 13085, 5270, 2085, 433, 627, 99280, 11, 53215, 445, 2637, 323, 8840, 75612, 11, 12336, 469, 13, 1054, 1561, 27359, 63348, 323, 279, 65336, 315, 279, 8681, 198, 7996, 11433, 25, 362, 3331, 11964, 46780, 18825, 2029, 10139, 315, 31597, 38661, 11, 11119, 627, 7261, 11, 2360, 13, 220, 19, 320, 32559, 220, 1049, 19, 705, 12086, 13, 220, 25659, 12, 23713, 627, 42, 7211, 75, 11, 9641, 435, 13, 1054, 578, 54752, 315, 81689, 25, 8121, 2065, 11, 6168, 3294, 11, 323, 279, 198, 9207, 315, 10423, 2029, 3142, 17128, 10506, 13, 11119, 13, 220, 1399, 11, 26292, 220, 21, 13, 5348, 9336, 198, 51245, 388, 4953, 11, 12086, 21310, 12, 22640, 13, 220, 1049, 15, 627, 59742, 942, 11, 8611, 16172, 11, 323, 15490, 616, 6729, 11, 12433, 78, 13, 1054, 578, 1404, 323, 7036, 315, 3109, 487, 97280, 198, 10097, 48079, 449, 25442, 19287, 2029, 7665, 23362, 10506, 627, 19436, 220, 3391, 11, 37543, 220, 19, 4235, 21, 11, 5936, 220, 2550, 24, 11, 22521, 220, 23459, 4235, 24939, 627, 26287, 11, 31164, 356, 2637, 21293, 11, 32618, 445, 2637, 612, 8270, 11, 11291, 622, 13, 34871, 323, 66187, 304, 279, 3778, 198, 51213, 25, 362, 1561, 11346, 13, 3365, 273, 6798, 2493, 19383, 11, 1561, 16228, 25, 5075, 406, 560, 11166, 13, 220, 3753, 18, 627, 48, 3928, 19380, 11, 7957, 362, 13, 58014, 315, 6785, 27773, 13, 56054, 11, 12551, 25, 666, 7085, 268, 21579, 13, 220, 2550, 23, 627, 39379, 8148, 11, 10463, 11, 17472, 11, 26035, 11, 56207, 3520, 11, 8563, 11, 480, 494, 3258, 11, 7957, 11, 39175, 37733, 11, 31164, 345, 438, 28357, 478, 1543, 11, 19178, 13, 25274, 5270, 25, 362, 11346, 315, 279, 3723, 4273, 11, 20880, 220, 17, 512, 12834, 220, 9714, 20, 11, 37618, 220, 21, 339, 14398, 13, 8494, 11, 16327, 11, 6457, 11, 12126, 11, 12550, 11, 21181, 11, 18157, 11, 3723, 15422, 11, 3723, 4273, 25, 356, 85839, 21579, 13, 220, 679, 17, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649 ]
[ 128000, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 26672, 682, 330, 5109, 4718, 79310, 5130, 3673, 4920, 264, 3254, 832, 198, 5223, 62, 15, 25, 1115, 64397, 674, 22101, 17, 320, 31121, 1373, 279, 4360, 369, 810, 45244, 570, 5810, 753, 264, 4062, 49820, 315, 1148, 420, 8743, 1587, 2904, 20694, 2430, 429, 7699, 15, 1, 4902, 429, 15145, 45673, 1, 2338, 429, 2485, 1129, 12641, 52027, 916, 22158, 14, 21717, 15101, 22, 14, 4364, 23952, 2618, 14, 22488, 9690, 66, 21, 1481, 10562, 12, 806, 68, 20, 12, 23, 66, 2946, 12, 22, 66, 21360, 64, 20, 69, 1682, 66, 15, 3592, 891, 27, 11407, 18104, 29, 5223, 62, 16, 25, 11361, 369, 29820, 0, 551, 83, 2649, 25, 24226, 40, 2846, 16102, 21629, 16, 25, 389, 420, 2349, 1606, 433, 29057, 26338, 76160, 304, 4799, 315, 264, 32227, 37637, 16048, 18304, 334, 10438, 68063, 9369, 287, 389, 459, 5377, 4718, 1537, 7612, 220, 17, 6299, 25, 2591, 16, 13, 5377, 279, 40616, 320, 269, 8505, 389, 1023, 15771, 8, 5130, 319, 16, 13, 9369, 389, 459, 5377, 4718, 5858, 881, 334, 6153, 68063, 9369, 287, 389, 459, 5377, 4718, 1537, 7612, 220, 19, 6299, 2904, 16, 13, 5377, 279, 40616, 320, 269, 8505, 389, 1023, 15771, 8, 5130, 319, 16, 13, 14903, 8291, 311, 8572, 2065, 319, 16, 13, 14903, 8291, 1139, 17626, 5130, 319, 16, 13, 9369, 389, 459, 5377, 4718, 1537, 881, 40, 656, 7655, 430, 420, 5992, 32981, 11, 323, 3727, 5647, 505, 459, 41295, 1486, 315, 1684, 11, 719, 358, 2846, 539, 2771, 430, 433, 596, 264, 48776, 6696, 1885, 369, 279, 4295, 304, 76160, 18304, 3923, 656, 499, 1781, 571, 22612, 14, 21674, 5380, 27, 11407, 18104, 29, 5223, 62, 15, 25, 9930, 499, 11, 2288, 11, 369, 701, 11302, 11, 571, 5223, 62, 16, 0, 551, 2067, 1136, 33080, 40, 3604, 1047, 420, 304, 4059, 1418, 358, 574, 3339, 1884, 4442, 13, 358, 28135, 7655, 449, 701, 1486, 315, 1684, 13, 6104, 433, 8659, 26338, 76160, 11, 358, 8659, 1541, 956, 1781, 433, 596, 264, 22520, 2349, 13, 4452, 11, 358, 1781, 433, 596, 264, 6696, 1885, 430, 3966, 311, 387, 1903, 311, 71040, 279, 5130, 3673, 74145, 323, 27914, 14122, 2740, 18304, 2746, 499, 2610, 757, 11, 832, 315, 279, 1455, 3062, 2574, 358, 3077, 9687, 1418, 6968, 3241, 374, 11, 430, 499, 1288, 1005, 8996, 2671, 527, 2561, 311, 499, 311, 5766, 40916, 6261, 13, 2876, 1193, 304, 279, 2082, 11, 719, 1101, 2949, 279, 3834, 13, 358, 8659, 1781, 430, 433, 596, 3062, 311, 1304, 3738, 6299, 439, 15987, 439, 3284, 11, 719, 304, 420, 1162, 11, 358, 1781, 584, 1288, 2567, 304, 4059, 430, 584, 1205, 311, 4322, 1475, 13252, 315, 1057, 3241, 430, 8111, 389, 264, 1217, 596, 4264, 439, 15525, 439, 3284, 18304, 55915, 358, 1781, 5042, 40916, 330, 5109, 4718, 79310, 927, 323, 927, 1578, 374, 1120, 99622, 7119, 279, 2144, 430, 264, 1217, 374, 69344, 603, 449, 264, 3738, 3634, 389, 813, 6500, 18304, 28055, 420, 33811, 11, 584, 1436, 315, 3388, 1120, 1501, 682, 315, 1884, 4330, 3673, 2085, 279, 9436, 323, 814, 1053, 387, 6847, 15987, 3651, 42436, 37637, 13, 4452, 358, 1101, 1781, 430, 433, 596, 3062, 311, 1912, 2574, 3871, 430, 617, 264, 22498, 7438, 994, 30829, 3774, 82, 13, 2876, 1193, 1587, 433, 3665, 3634, 11, 719, 433, 1101, 3727, 279, 3834, 9539, 34030, 323, 8831, 311, 3619, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 358, 1518, 3515, 1521, 539, 304, 264, 78497, 439, 11951, 961, 315, 279, 330, 86812, 398, 323, 6784, 16117, 636, 47950, 1139, 55275, 2826, 1, 9131, 13, 578, 5130, 1887, 374, 1070, 369, 47950, 323, 14738, 369, 55275, 988, 13, 578, 5130, 1887, 374, 539, 1070, 369, 11909, 13, 51859, 323, 1455, 55275, 988, 690, 1005, 279, 3290, 27404, 477, 1401, 66595, 369, 279, 2574, 814, 1205, 18304, 18433, 315, 420, 11, 358, 2733, 430, 279, 1205, 311, 30536, 279, 5130, 1887, 369, 47950, 311, 1005, 323, 6847, 7142, 1148, 17357, 40616, 706, 63074, 82, 279, 12876, 311, 1304, 279, 5130, 1887, 810, 17251, 323, 8530, 1826, 14122, 2740, 54799, 311, 55275, 988, 323, 2410, 3932, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 2650, 922, 10494, 1124, 389, 279, 1176, 2237, 719, 3041, 1124, 1202, 1866, 1912, 320, 3473, 330, 14641, 21908, 706, 1202, 1866, 1912, 2288, 570, 1628, 4148, 279, 1595, 5109, 701, 29687, 1102, 1781, 433, 3727, 433, 8831, 311, 8737, 18304, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 27325, 2813, 14, 19, 13536, 20, 69, 3487, 66, 1481, 18, 64, 23, 12, 806, 68, 20, 12, 24487, 68, 12, 23215, 25875, 19104, 64, 19, 64, 3592, 7377, 2746, 433, 596, 539, 2867, 3403, 11, 584, 1436, 923, 459, 5066, 330, 888, 15744, 1, 1584, 520, 279, 1948, 11, 779, 433, 3250, 956, 1205, 311, 387, 11763, 13, 1102, 1436, 2019, 1595, 10480, 553, 701, 1131, 63, 881, 21362, 1530, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 17819, 6069, 14, 20, 8480, 24763, 582, 1481, 18, 64, 24, 12, 806, 68, 20, 12, 5833, 9081, 1824, 3013, 22387, 65, 19282, 1987, 3592, 7377, 4071, 7344, 539, 4460, 13, 1442, 499, 4299, 904, 315, 279, 3673, 497, 499, 649, 9855, 430, 433, 16264, 330, 34431, 23811, 27, 11407, 18104, 29, 5223, 62, 16, 25, 2057, 1518, 3249, 1778, 11545, 2011, 2997, 459, 26689, 48502, 11, 2980, 430, 279, 19821, 315, 459, 26689, 48502, 24897, 430, 279, 917, 27772, 279, 1957, 369, 279, 1217, 13, 1789, 3187, 11, 422, 279, 47434, 45384, 3290, 1587, 539, 2997, 459, 26689, 48502, 11, 433, 24897, 430, 1070, 374, 1193, 832, 1648, 311, 32187, 279, 27031, 323, 279, 1217, 706, 912, 5873, 304, 279, 5030, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 551, 10, 16, 33080, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 13837, 2137, 16954, 5313, 66, 63694, 19, 1481, 18, 65, 20, 12, 806, 68, 20, 12, 23, 92330, 1824, 2589, 67, 23, 67, 23, 68, 10562, 65, 3592, 7377, 40, 8101, 279, 1595, 10714, 40616, 63, 323, 1595, 860, 1914, 63, 1288, 1101, 617, 26689, 3153, 288, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 551, 2067, 1136, 25, 3011, 10578, 12738, 0, 4800, 358, 1193, 1205, 311, 1440, 422, 1595, 10714, 40616, 63, 323, 1595, 860, 1914, 63, 1205, 26689, 3153, 288, 11, 2288, 323, 422, 279, 1595, 10480, 553, 701, 1131, 63, 374, 5995, 11, 2288, 13, 5112, 358, 649, 7652, 279, 8743, 18304, 2746, 499, 2610, 757, 11, 814, 1205, 26689, 3153, 288, 11, 2288, 13, 2030, 279, 1373, 15744, 1584, 4536, 956, 5995, 13, 7429, 25, 3639, 922, 279, 26689, 3153, 288, 389, 3243, 843, 323, 37345, 5380, 27, 11407, 18104, 29, 5223, 62, 19, 25, 40163, 76, 5412, 198, 27, 11407, 18104, 29, 5223, 62, 18, 25, 3092, 7055, 33080, 12, 422, 330, 10714, 40616, 1, 323, 330, 860, 1914, 1, 1205, 26689, 3153, 288, 30, 7566, 319, 12, 422, 279, 1595, 10480, 553, 701, 1131, 63, 374, 5995, 13, 2360, 319, 12, 3639, 922, 279, 26689, 3153, 288, 389, 3243, 843, 323, 37345, 30, 21815, 520, 1063, 49820, 11, 814, 2873, 311, 1833, 279, 1890, 21977, 13, 2100, 26689, 3153, 288, 389, 682, 220, 18, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 578, 2806, 1914, 3290, 2646, 7612, 4726, 1988, 505, 279, 1217, 11, 323, 14188, 1587, 10180, 40616, 13, 7429, 11, 358, 1541, 956, 1781, 358, 3077, 3596, 3970, 459, 10293, 1630, 917, 923, 26689, 3153, 288, 1306, 10180, 366, 680, 836, 30916, 27, 11407, 18104, 29, 5223, 62, 17, 25, 358, 7655, 449, 571, 5223, 62, 16, 389, 279, 22165, 315, 26689, 3153, 288, 13, 1628, 358, 7655, 449, 571, 5223, 62, 18, 430, 584, 1288, 1005, 279, 1890, 1887, 4028, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 358, 1781, 499, 2351, 1314, 13, 551, 10, 16, 25, 2360, 26689, 3153, 288, 369, 330, 888, 1193, 1, 6392, 13, 7777, 11, 279, 24811, 5084, 311, 387, 420, 33080, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 13837, 2137, 16954, 5313, 66, 63694, 19, 1481, 18, 65, 20, 12, 806, 68, 20, 12, 23, 92330, 1824, 2589, 67, 23, 67, 23, 68, 10562, 65, 3592, 7377, 2520, 682, 220, 18, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 28457, 4999, 27, 11407, 18104, 29, 5223, 62, 15, 25, 571, 5223, 62, 18, 571, 5223, 62, 17, 3639, 775, 3966, 311, 387, 2884, 311, 636, 420, 27092, 5380, 27, 11407, 18104, 29, 5223, 62, 20, 25, 358, 2846, 21629, 16, 25, 220, 369, 2225, 11, 279, 78497, 323, 279, 17065, 315, 3146, 22479, 60579, 1271, 757, 279, 3146, 22479, 334, 1587, 1304, 11720, 279, 76057, 2277, 7138, 315, 279, 68971, 12765, 18304, 27131, 3146, 22479, 334, 433, 1427, 1093, 1070, 527, 912, 3003, 7677, 11, 6463, 1401, 18106, 6463, 69742, 477, 9404, 20924, 520, 682, 2736, 11798, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 11361, 571, 5223, 62, 15, 369, 29820, 323, 701, 30401, 1418, 584, 636, 2574, 1555, 279, 15660, 551, 911, 20353, 33080, 12947, 369, 279, 11302, 571, 5223, 62, 20, 13, 358, 1541, 956, 4510, 430, 433, 374, 264, 2466, 5326, 430, 1274, 690, 1781, 1070, 527, 912, 1401, 18106, 11, 69742, 477, 9404, 2736, 11798, 13, 2030, 584, 3358, 2567, 459, 8071, 389, 433, 4999, 27, 11407, 18104, 29, 5223, 62, 15, 25, 571, 5223, 62, 17, 551, 2067, 1136, 25, 128001 ]
[ -100, 27, 11407, 5011, 1822, 11407, 18104, 86379, 25, 26672, 682, 330, 5109, 4718, 79310, 5130, 3673, 4920, 264, 3254, 832, 198, 5223, 62, 15, 25, 1115, 64397, 674, 22101, 17, 320, 31121, 1373, 279, 4360, 369, 810, 45244, 570, 5810, 753, 264, 4062, 49820, 315, 1148, 420, 8743, 1587, 2904, 20694, 2430, 429, 7699, 15, 1, 4902, 429, 15145, 45673, 1, 2338, 429, 2485, 1129, 12641, 52027, 916, 22158, 14, 21717, 15101, 22, 14, 4364, 23952, 2618, 14, 22488, 9690, 66, 21, 1481, 10562, 12, 806, 68, 20, 12, 23, 66, 2946, 12, 22, 66, 21360, 64, 20, 69, 1682, 66, 15, 3592, 891, 27, 11407, 18104, 29, 5223, 62, 16, 25, 11361, 369, 29820, 0, 551, 83, 2649, 25, 24226, 40, 2846, 16102, 21629, 16, 25, 389, 420, 2349, 1606, 433, 29057, 26338, 76160, 304, 4799, 315, 264, 32227, 37637, 16048, 18304, 334, 10438, 68063, 9369, 287, 389, 459, 5377, 4718, 1537, 7612, 220, 17, 6299, 25, 2591, 16, 13, 5377, 279, 40616, 320, 269, 8505, 389, 1023, 15771, 8, 5130, 319, 16, 13, 9369, 389, 459, 5377, 4718, 5858, 881, 334, 6153, 68063, 9369, 287, 389, 459, 5377, 4718, 1537, 7612, 220, 19, 6299, 2904, 16, 13, 5377, 279, 40616, 320, 269, 8505, 389, 1023, 15771, 8, 5130, 319, 16, 13, 14903, 8291, 311, 8572, 2065, 319, 16, 13, 14903, 8291, 1139, 17626, 5130, 319, 16, 13, 9369, 389, 459, 5377, 4718, 1537, 881, 40, 656, 7655, 430, 420, 5992, 32981, 11, 323, 3727, 5647, 505, 459, 41295, 1486, 315, 1684, 11, 719, 358, 2846, 539, 2771, 430, 433, 596, 264, 48776, 6696, 1885, 369, 279, 4295, 304, 76160, 18304, 3923, 656, 499, 1781, 571, 22612, 14, 21674, 5380, 27, 11407, 18104, 29, 5223, 62, 15, 25, 9930, 499, 11, 2288, 11, 369, 701, 11302, 11, 571, 5223, 62, 16, 0, 551, 2067, 1136, 33080, 40, 3604, 1047, 420, 304, 4059, 1418, 358, 574, 3339, 1884, 4442, 13, 358, 28135, 7655, 449, 701, 1486, 315, 1684, 13, 6104, 433, 8659, 26338, 76160, 11, 358, 8659, 1541, 956, 1781, 433, 596, 264, 22520, 2349, 13, 4452, 11, 358, 1781, 433, 596, 264, 6696, 1885, 430, 3966, 311, 387, 1903, 311, 71040, 279, 5130, 3673, 74145, 323, 27914, 14122, 2740, 18304, 2746, 499, 2610, 757, 11, 832, 315, 279, 1455, 3062, 2574, 358, 3077, 9687, 1418, 6968, 3241, 374, 11, 430, 499, 1288, 1005, 8996, 2671, 527, 2561, 311, 499, 311, 5766, 40916, 6261, 13, 2876, 1193, 304, 279, 2082, 11, 719, 1101, 2949, 279, 3834, 13, 358, 8659, 1781, 430, 433, 596, 3062, 311, 1304, 3738, 6299, 439, 15987, 439, 3284, 11, 719, 304, 420, 1162, 11, 358, 1781, 584, 1288, 2567, 304, 4059, 430, 584, 1205, 311, 4322, 1475, 13252, 315, 1057, 3241, 430, 8111, 389, 264, 1217, 596, 4264, 439, 15525, 439, 3284, 18304, 55915, 358, 1781, 5042, 40916, 330, 5109, 4718, 79310, 927, 323, 927, 1578, 374, 1120, 99622, 7119, 279, 2144, 430, 264, 1217, 374, 69344, 603, 449, 264, 3738, 3634, 389, 813, 6500, 18304, 28055, 420, 33811, 11, 584, 1436, 315, 3388, 1120, 1501, 682, 315, 1884, 4330, 3673, 2085, 279, 9436, 323, 814, 1053, 387, 6847, 15987, 3651, 42436, 37637, 13, 4452, 358, 1101, 1781, 430, 433, 596, 3062, 311, 1912, 2574, 3871, 430, 617, 264, 22498, 7438, 994, 30829, 3774, 82, 13, 2876, 1193, 1587, 433, 3665, 3634, 11, 719, 433, 1101, 3727, 279, 3834, 9539, 34030, 323, 8831, 311, 3619, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 358, 1518, 3515, 1521, 539, 304, 264, 78497, 439, 11951, 961, 315, 279, 330, 86812, 398, 323, 6784, 16117, 636, 47950, 1139, 55275, 2826, 1, 9131, 13, 578, 5130, 1887, 374, 1070, 369, 47950, 323, 14738, 369, 55275, 988, 13, 578, 5130, 1887, 374, 539, 1070, 369, 11909, 13, 51859, 323, 1455, 55275, 988, 690, 1005, 279, 3290, 27404, 477, 1401, 66595, 369, 279, 2574, 814, 1205, 18304, 18433, 315, 420, 11, 358, 2733, 430, 279, 1205, 311, 30536, 279, 5130, 1887, 369, 47950, 311, 1005, 323, 6847, 7142, 1148, 17357, 40616, 706, 63074, 82, 279, 12876, 311, 1304, 279, 5130, 1887, 810, 17251, 323, 8530, 1826, 14122, 2740, 54799, 311, 55275, 988, 323, 2410, 3932, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 2650, 922, 10494, 1124, 389, 279, 1176, 2237, 719, 3041, 1124, 1202, 1866, 1912, 320, 3473, 330, 14641, 21908, 706, 1202, 1866, 1912, 2288, 570, 1628, 4148, 279, 1595, 5109, 701, 29687, 1102, 1781, 433, 3727, 433, 8831, 311, 8737, 18304, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 27325, 2813, 14, 19, 13536, 20, 69, 3487, 66, 1481, 18, 64, 23, 12, 806, 68, 20, 12, 24487, 68, 12, 23215, 25875, 19104, 64, 19, 64, 3592, 7377, 2746, 433, 596, 539, 2867, 3403, 11, 584, 1436, 923, 459, 5066, 330, 888, 15744, 1, 1584, 520, 279, 1948, 11, 779, 433, 3250, 956, 1205, 311, 387, 11763, 13, 1102, 1436, 2019, 1595, 10480, 553, 701, 1131, 63, 881, 21362, 1530, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 17819, 6069, 14, 20, 8480, 24763, 582, 1481, 18, 64, 24, 12, 806, 68, 20, 12, 5833, 9081, 1824, 3013, 22387, 65, 19282, 1987, 3592, 7377, 4071, 7344, 539, 4460, 13, 1442, 499, 4299, 904, 315, 279, 3673, 497, 499, 649, 9855, 430, 433, 16264, 330, 34431, 23811, 27, 11407, 18104, 29, 5223, 62, 16, 25, 2057, 1518, 3249, 1778, 11545, 2011, 2997, 459, 26689, 48502, 11, 2980, 430, 279, 19821, 315, 459, 26689, 48502, 24897, 430, 279, 917, 27772, 279, 1957, 369, 279, 1217, 13, 1789, 3187, 11, 422, 279, 47434, 45384, 3290, 1587, 539, 2997, 459, 26689, 48502, 11, 433, 24897, 430, 1070, 374, 1193, 832, 1648, 311, 32187, 279, 27031, 323, 279, 1217, 706, 912, 5873, 304, 279, 5030, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 551, 10, 16, 33080, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 13837, 2137, 16954, 5313, 66, 63694, 19, 1481, 18, 65, 20, 12, 806, 68, 20, 12, 23, 92330, 1824, 2589, 67, 23, 67, 23, 68, 10562, 65, 3592, 7377, 40, 8101, 279, 1595, 10714, 40616, 63, 323, 1595, 860, 1914, 63, 1288, 1101, 617, 26689, 3153, 288, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 551, 2067, 1136, 25, 3011, 10578, 12738, 0, 4800, 358, 1193, 1205, 311, 1440, 422, 1595, 10714, 40616, 63, 323, 1595, 860, 1914, 63, 1205, 26689, 3153, 288, 11, 2288, 323, 422, 279, 1595, 10480, 553, 701, 1131, 63, 374, 5995, 11, 2288, 13, 5112, 358, 649, 7652, 279, 8743, 18304, 2746, 499, 2610, 757, 11, 814, 1205, 26689, 3153, 288, 11, 2288, 13, 2030, 279, 1373, 15744, 1584, 4536, 956, 5995, 13, 7429, 25, 3639, 922, 279, 26689, 3153, 288, 389, 3243, 843, 323, 37345, 5380, 27, 11407, 18104, 29, 5223, 62, 19, 25, 40163, 76, 5412, 198, 27, 11407, 18104, 29, 5223, 62, 18, 25, 3092, 7055, 33080, 12, 422, 330, 10714, 40616, 1, 323, 330, 860, 1914, 1, 1205, 26689, 3153, 288, 30, 7566, 319, 12, 422, 279, 1595, 10480, 553, 701, 1131, 63, 374, 5995, 13, 2360, 319, 12, 3639, 922, 279, 26689, 3153, 288, 389, 3243, 843, 323, 37345, 30, 21815, 520, 1063, 49820, 11, 814, 2873, 311, 1833, 279, 1890, 21977, 13, 2100, 26689, 3153, 288, 389, 682, 220, 18, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 16, 25, 578, 2806, 1914, 3290, 2646, 7612, 4726, 1988, 505, 279, 1217, 11, 323, 14188, 1587, 10180, 40616, 13, 7429, 11, 358, 1541, 956, 1781, 358, 3077, 3596, 3970, 459, 10293, 1630, 917, 923, 26689, 3153, 288, 1306, 10180, 366, 680, 836, 30916, 27, 11407, 18104, 29, 5223, 62, 17, 25, 358, 7655, 449, 571, 5223, 62, 16, 389, 279, 22165, 315, 26689, 3153, 288, 13, 1628, 358, 7655, 449, 571, 5223, 62, 18, 430, 584, 1288, 1005, 279, 1890, 1887, 4028, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 18, 25, 358, 1781, 499, 2351, 1314, 13, 551, 10, 16, 25, 2360, 26689, 3153, 288, 369, 330, 888, 1193, 1, 6392, 13, 7777, 11, 279, 24811, 5084, 311, 387, 420, 33080, 21362, 2201, 7087, 9725, 2485, 1129, 12641, 52027, 916, 22158, 14, 19166, 20063, 14, 7994, 13837, 2137, 16954, 5313, 66, 63694, 19, 1481, 18, 65, 20, 12, 806, 68, 20, 12, 23, 92330, 1824, 2589, 67, 23, 67, 23, 68, 10562, 65, 3592, 7377, 2520, 682, 220, 18, 15771, 627, 27, 11407, 18104, 29, 5223, 62, 15, 25, 28457, 4999, 27, 11407, 18104, 29, 5223, 62, 15, 25, 571, 5223, 62, 18, 571, 5223, 62, 17, 3639, 775, 3966, 311, 387, 2884, 311, 636, 420, 27092, 5380, 27, 11407, 18104, 29, 5223, 62, 20, 25, 358, 2846, 21629, 16, 25, 220, 369, 2225, 11, 279, 78497, 323, 279, 17065, 315, 3146, 22479, 60579, 1271, 757, 279, 3146, 22479, 334, 1587, 1304, 11720, 279, 76057, 2277, 7138, 315, 279, 68971, 12765, 18304, 27131, 3146, 22479, 334, 433, 1427, 1093, 1070, 527, 912, 3003, 7677, 11, 6463, 1401, 18106, 6463, 69742, 477, 9404, 20924, 520, 682, 2736, 11798, 627, 27, 11407, 18104, 29, 5223, 62, 17, 25, 11361, 571, 5223, 62, 15, 369, 29820, 323, 701, 30401, 1418, 584, 636, 2574, 1555, 279, 15660, 551, 911, 20353, 33080, 12947, 369, 279, 11302, 571, 5223, 62, 20, 13, 358, 1541, 956, 4510, 430, 433, 374, 264, 2466, 5326, 430, 1274, 690, 1781, 1070, 527, 912, 1401, 18106, 11, 69742, 477, 9404, 2736, 11798, 13, 2030, 584, 3358, 2567, 459, 8071, 389, 433, 4999, 27, 11407, 18104, 29, 5223, 62, 15, 25, 571, 5223, 62, 17, 551, 2067, 1136, 25, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602 ]
[ 128000, 36687, 499, 4070, 1027, 5496, 1234, 264, 7091, 369, 279, 1566, 2478, 4038, 11, 320, 438, 1095, 753, 387, 10978, 11, 1063, 1274, 617, 705, 1243, 499, 617, 4762, 6755, 315, 452, 4082, 753, 13, 7570, 3582, 814, 617, 1027, 2212, 369, 264, 5743, 315, 1667, 11, 814, 2216, 3782, 311, 71199, 304, 279, 4216, 961, 315, 220, 2366, 16, 449, 1063, 58973, 32263, 73745, 6763, 13, 77419, 389, 279, 1203, 315, 18428, 5557, 11, 902, 1304, 45074, 1093, 13428, 3284, 11, 452, 4082, 753, 617, 279, 4754, 311, 387, 264, 49340, 32931, 50925, 13, 220, 1102, 753, 2103, 1633, 4216, 304, 279, 452, 4082, 25845, 11, 323, 433, 753, 3169, 315, 1093, 279, 8545, 8545, 9909, 1314, 1457, 13, 2030, 8830, 1148, 753, 12765, 323, 1268, 499, 649, 636, 6532, 1436, 2343, 65242, 56364, 304, 279, 3221, 3938, 13, 6914, 753, 30963, 304, 4999, 1271, 3619, 1148, 452, 4082, 753, 527, 11, 499, 1176, 617, 311, 3619, 1148, 18428, 5557, 374, 13, 9176, 315, 499, 690, 1440, 420, 2736, 11, 779, 11984, 449, 757, 13, 43985, 374, 264, 5557, 430, 6276, 369, 264, 49063, 1749, 315, 69963, 2038, 389, 279, 7757, 13, 21834, 315, 264, 48033, 11, 477, 24043, 2363, 13, 43985, 374, 3460, 315, 1093, 264, 48033, 430, 374, 389, 279, 7757, 13, 9062, 2565, 304, 279, 18428, 5727, 47773, 3927, 2038, 13, 3277, 264, 2349, 374, 1903, 311, 264, 2565, 11, 1778, 439, 264, 18355, 15637, 8481, 11, 1243, 430, 2565, 374, 6177, 449, 279, 7528, 2038, 13, 578, 2565, 374, 1243, 9041, 4028, 279, 48033, 11, 477, 8957, 11, 311, 2204, 7634, 1405, 1274, 649, 10356, 279, 2038, 627, 4599, 499, 3780, 18355, 11, 369, 3187, 11, 420, 4442, 2038, 389, 279, 18428, 311, 2713, 701, 15637, 315, 279, 18355, 13, 1115, 2038, 374, 1243, 9041, 4028, 279, 4009, 311, 11990, 315, 2204, 1054, 20606, 9520, 477, 3585, 315, 23751, 13, 578, 11471, 315, 18428, 374, 430, 433, 5097, 58983, 2410, 323, 6835, 433, 1203, 311, 279, 6206, 315, 279, 1274, 13, 763, 28591, 11, 499, 1541, 1431, 617, 311, 733, 1555, 8792, 14286, 477, 17047, 14926, 13, 1472, 649, 8481, 7528, 12032, 6089, 311, 1855, 1023, 11, 14734, 311, 14734, 11, 389, 279, 18428, 13, 1115, 706, 28254, 25127, 369, 5557, 11, 17452, 11, 11759, 11, 323, 1524, 279, 14209, 315, 279, 7140, 1614, 13, 1226, 527, 20025, 304, 279, 7314, 18094, 315, 1148, 420, 3445, 369, 8396, 627, 4012, 11, 1457, 430, 584, 617, 264, 2731, 25703, 389, 18428, 11, 1095, 753, 1935, 264, 1427, 520, 452, 4082, 753, 13, 452, 4082, 13656, 369, 11842, 7424, 2234, 1260, 9857, 13, 11842, 2269, 2234, 1260, 3445, 539, 9473, 481, 13, 11842, 10397, 3455, 481, 3445, 1070, 374, 1193, 832, 13, 1666, 16475, 311, 279, 8776, 1749, 315, 50812, 7528, 12032, 11, 18428, 5557, 1457, 6276, 499, 311, 1893, 832, 315, 2555, 13, 362, 2536, 2269, 2234, 1260, 2373, 315, 433, 627, 10267, 753, 1935, 369, 3187, 11, 264, 7528, 29409, 13, 1472, 1893, 420, 6366, 6710, 315, 1989, 1701, 99861, 11, 94465, 11, 477, 8996, 3241, 13, 1472, 1243, 1054, 68891, 863, 279, 6710, 11, 902, 13524, 3445, 499, 1893, 264, 5016, 7528, 12223, 315, 433, 323, 2231, 433, 389, 279, 18428, 13, 2468, 430, 1486, 11, 1070, 374, 1193, 220, 16, 1972, 2373, 315, 430, 29409, 13, 23371, 11, 499, 649, 1314, 4299, 323, 3665, 11, 323, 2103, 16822, 433, 17277, 13, 2030, 430, 832, 452, 4082, 11, 477, 18428, 2373, 315, 279, 6710, 11, 374, 279, 832, 323, 1193, 4113, 315, 430, 990, 13, 1115, 649, 387, 24884, 1701, 279, 18428, 13, 1628, 904, 10223, 315, 15637, 315, 420, 6710, 690, 1243, 387, 6177, 304, 1202, 7528, 2082, 389, 279, 18428, 627, 3923, 12838, 578, 452, 4082, 8152, 34863, 9372, 9086, 5380, 2028, 706, 28254, 25127, 369, 279, 4623, 315, 15637, 315, 7528, 12032, 13, 38530, 698, 11, 264, 11495, 7528, 10255, 11, 1550, 459, 21852, 6931, 420, 1060, 315, 264, 4526, 315, 813, 29409, 902, 6216, 369, 400, 3076, 3610, 11441, 13, 1115, 1903, 1461, 279, 4948, 93118, 5496, 10255, 304, 279, 1917, 13, 91395, 11021, 1884, 9863, 1457, 25241, 279, 5016, 220, 16, 315, 220, 16, 315, 1884, 4040, 4375, 627, 2675, 649, 1427, 520, 433, 420, 1648, 13, 2684, 374, 1193, 832, 99883, 29656, 13, 14968, 1070, 527, 11990, 315, 24370, 315, 279, 99883, 29656, 13, 19418, 499, 4856, 1866, 279, 4113, 99883, 29656, 11, 477, 832, 315, 279, 24370, 30, 41896, 1251, 279, 452, 4082, 315, 264, 990, 374, 279, 1890, 439, 41377, 459, 5150, 19354, 505, 459, 10255, 627, 10445, 12540, 33634, 11544, 459, 452, 4082, 5380, 1271, 923, 2500, 7185, 6324, 311, 682, 315, 420, 11, 14580, 11987, 617, 43333, 709, 2212, 682, 21522, 315, 452, 4082, 753, 13, 1952, 264, 14580, 3157, 11, 459, 6506, 315, 459, 452, 4082, 649, 594, 616, 279, 990, 311, 4423, 775, 13, 1115, 374, 682, 2884, 389, 279, 18428, 323, 279, 2349, 315, 15637, 690, 387, 6177, 304, 279, 48033, 13, 7429, 11, 279, 20514, 315, 279, 452, 4082, 11, 5304, 29437, 287, 279, 990, 11, 649, 75224, 264, 3738, 11668, 315, 1855, 6412, 311, 733, 1203, 311, 1124, 11, 439, 264, 3460, 315, 53817, 389, 279, 990, 13, 2100, 2019, 264, 6710, 13517, 6216, 369, 400, 1041, 15, 11, 323, 814, 1047, 264, 1034, 605, 53817, 43851, 13, 578, 1828, 892, 433, 31878, 11, 279, 3430, 374, 400, 1041, 11, 931, 13, 578, 10255, 1243, 5334, 264, 220, 605, 4, 53817, 11, 477, 400, 605, 11, 931, 13, 1115, 374, 264, 1633, 7185, 3245, 369, 13820, 323, 34899, 11, 323, 1436, 13893, 387, 264, 30191, 1648, 369, 1124, 311, 636, 39075, 66982, 369, 872, 990, 627, 40, 4344, 264, 39844, 11, 779, 279, 3938, 315, 420, 5557, 449, 4731, 12032, 374, 9193, 41765, 13, 1115, 16264, 709, 279, 13336, 315, 459, 10255, 753, 7359, 10671, 961, 7980, 315, 872, 4731, 13, 38891, 11, 439, 264, 18273, 10255, 11, 701, 7359, 3515, 279, 5845, 311, 2793, 304, 701, 502, 3254, 1093, 264, 5708, 13, 1442, 279, 5609, 9221, 264, 4295, 11, 323, 10283, 315, 85974, 527, 52872, 11, 1243, 279, 7359, 690, 387, 3025, 311, 4774, 1884, 4780, 439, 1664, 13, 3234, 499, 1781, 279, 7359, 1053, 387, 810, 4461, 311, 4430, 264, 5609, 389, 3674, 3772, 422, 814, 527, 3794, 7318, 85974, 505, 1202, 2450, 30, 358, 1781, 779, 627, 45, 4082, 753, 527, 3794, 872, 1212, 304, 1989, 11, 719, 358, 1781, 279, 3938, 315, 1124, 5900, 3117, 7953, 430, 22651, 13, 3277, 499, 2216, 1781, 922, 433, 11, 904, 5226, 1903, 1990, 12966, 649, 387, 29437, 291, 389, 279, 2565, 8957, 13, 1115, 19159, 264, 2536, 2269, 2234, 1260, 2373, 315, 430, 9306, 13, 5492, 323, 1841, 6763, 11, 8276, 10396, 11, 11103, 20038, 30, 358, 3152, 279, 3938, 315, 420, 374, 7029, 1825, 13, 40612, 24025, 11, 7397, 11, 62277, 11, 323, 6946, 617, 3719, 452, 4082, 753, 13, 7570, 420, 5117, 1436, 3719, 459, 452, 4082, 4999, 2746, 499, 1390, 311, 636, 1139, 279, 3634, 11, 358, 4284, 15389, 6405, 369, 1063, 315, 279, 452, 4082, 83407, 13, 2684, 527, 3892, 21542, 311, 1833, 430, 690, 3041, 499, 459, 20616, 1139, 279, 22651, 315, 24525, 13, 4702, 2778, 674, 45, 4082, 323, 1518, 1148, 499, 1505, 13, 3234, 3495, 389, 13674, 323, 3821, 1063, 6946, 13, 7429, 11, 1817, 704, 13335, 1093, 386, 8476, 17826, 11, 7445, 67511, 11, 323, 5377, 60261, 311, 1518, 1148, 753, 2736, 704, 1070, 627, 1687, 649, 1431, 1524, 13085, 279, 4442, 430, 279, 3221, 3938, 690, 4546, 922, 13, 12053, 374, 12765, 779, 5043, 11, 323, 433, 11321, 1093, 584, 3207, 20427, 389, 279, 1203, 315, 264, 3634, 37189, 16706, 520, 47420, 4732, 13, 1102, 5084, 8196, 311, 757, 11, 4869, 11, 439, 4423, 889, 706, 7318, 3345, 6666, 311, 279, 19566, 3157, 369, 3892, 1667, 11, 430, 452, 4082, 753, 527, 1618, 311, 4822, 13, 358, 1781, 814, 690, 617, 264, 6908, 5536, 389, 1268, 584, 656, 2626, 439, 264, 8396, 2133, 4741, 627, 4071, 369, 1457, 11, 733, 1817, 704, 33986, 47, 15655, 11, 17781, 34, 1900, 11, 477, 904, 1023, 67459, 452, 4082, 753, 13, 1472, 4805, 387, 46304, 555, 1148, 499, 1505, 11, 323, 1524, 810, 46304, 520, 279, 3430, 9681, 1828, 311, 1124, 13, 5377, 701, 4059, 11, 1825, 701, 7528, 15435, 11, 323, 4774, 279, 11879, 4999, 128001, 128000, 21450, 25, 7568, 645, 323, 50372, 5238, 198, 8586, 374, 1148, 584, 17644, 304, 538, 198, 9, 21815, 520, 12135, 1990, 27030, 2212, 1380, 3078, 1147, 323, 15638, 5238, 198, 9, 3979, 5859, 4366, 5164, 848, 2453, 198, 9, 2206, 69774, 27030, 315, 58130, 848, 95801, 198, 9, 31943, 287, 12135, 1990, 12414, 27030, 198, 8586, 574, 1057, 8369, 709, 198, 1687, 15243, 922, 1268, 584, 1205, 27030, 311, 387, 279, 1890, 320, 26880, 8, 304, 2015, 311, 1304, 15638, 5238, 627, 1687, 15746, 420, 12738, 4731, 2835, 512, 8586, 574, 459, 9526, 584, 6818, 512, 32, 1380, 3078, 278, 374, 264, 1584, 430, 89284, 1403, 15638, 5238, 627, 24901, 584, 15243, 922, 12414, 27030, 512, 791, 29559, 574, 6959, 220, 17, 12, 18, 315, 507, 8460, 72, 753, 37736, 25, 7568, 645, 3112, 16956, 17213, 198, 35, 2279, 7742, 6664, 220, 23, 13, 128001, 128000, 32, 2763, 315, 6699, 1541, 1431, 1440, 7041, 994, 264, 8334, 477, 3828, 8638, 311, 4048, 11, 1606, 315, 279, 13042, 17078, 430, 13305, 323, 7724, 4048, 520, 279, 1890, 892, 627, 4071, 3495, 13533, 430, 13305, 649, 4048, 1990, 279, 17051, 315, 220, 19, 323, 220, 717, 11, 323, 7724, 1990, 279, 4325, 315, 220, 23, 323, 220, 806, 627, 4599, 374, 264, 8334, 6975, 5380, 3947, 527, 2204, 13124, 315, 6975, 11, 4184, 311, 2999, 7957, 11, 889, 1101, 8640, 279, 9576, 11050, 14821, 520, 279, 3907, 315, 1561, 4987, 23782, 304, 21972, 627, 14305, 13305, 529, 6975, 1253, 387, 264, 2763, 810, 6532, 11, 323, 18065, 6975, 279, 5718, 315, 279, 1847, 2476, 568, 2795, 627, 14305, 7724, 529, 6975, 18065, 6975, 2574, 430, 527, 2753, 3062, 304, 279, 1847, 11, 1093, 1148, 814, 3207, 10171, 311, 656, 477, 1148, 814, 649, 1431, 656, 627, 644, 856, 3217, 11, 433, 753, 279, 13305, 529, 889, 4048, 279, 5718, 627, 2181, 753, 1633, 3062, 430, 13305, 4048, 922, 3674, 323, 14604, 4500, 49216, 9023, 7957, 2795, 264, 1695, 6041, 1486, 369, 13305, 323, 872, 4500, 374, 311, 1456, 311, 1977, 872, 12410, 323, 2274, 6928, 71177, 1778, 439, 3674, 16628, 627, 17818, 753, 922, 3515, 279, 12410, 311, 1514, 449, 701, 23939, 11, 3137, 311, 701, 4885, 11, 617, 264, 1695, 3674, 892, 323, 617, 264, 12835, 2476, 568, 15100, 627, 3947, 753, 264, 2763, 315, 1695, 9650, 704, 1070, 922, 1148, 311, 656, 422, 499, 1390, 701, 1716, 311, 1514, 810, 449, 64881, 11, 719, 430, 753, 539, 279, 1890, 439, 3339, 2771, 568, 753, 5737, 449, 813, 23939, 11, 902, 1436, 387, 11660, 369, 2911, 627, 9023, 13926, 2795, 422, 499, 3207, 18290, 922, 701, 1716, 11, 1541, 1431, 387, 627, 1548, 2795, 568, 3629, 40912, 430, 6699, 1456, 311, 3041, 701, 1716, 1063, 23939, 430, 527, 264, 2697, 810, 17436, 369, 279, 1403, 4771, 6418, 311, 1514, 11, 1093, 264, 18718, 477, 6437, 293, 82401, 5041, 477, 264, 22068, 2663, 264, 1054, 79, 10018, 11984, 113068, 38684, 814, 3207, 27207, 11, 477, 422, 814, 3207, 8430, 12703, 477, 38100, 11, 430, 649, 8346, 264, 8389, 13010, 2476, 2999, 13926, 2795, 627, 70214, 433, 753, 1888, 311, 3041, 1124, 2555, 430, 814, 649, 1514, 449, 49216, 2746, 499, 3207, 264, 2748, 323, 499, 617, 10742, 922, 701, 4538, 477, 10003, 11, 3137, 433, 927, 449, 264, 24687, 11, 889, 649, 1427, 520, 1148, 374, 6220, 323, 1148, 374, 539, 11, 2999, 13926, 15100, 627, 49977, 753, 264, 1633, 6485, 3158, 323, 433, 753, 2216, 2653, 369, 8689, 311, 3619, 11, 779, 358, 4070, 2751, 1063, 5070, 430, 358, 649, 7079, 311, 8689, 2029, 128001 ]
[ -100, 36687, 499, 4070, 1027, 5496, 1234, 264, 7091, 369, 279, 1566, 2478, 4038, 11, 320, 438, 1095, 753, 387, 10978, 11, 1063, 1274, 617, 705, 1243, 499, 617, 4762, 6755, 315, 452, 4082, 753, 13, 7570, 3582, 814, 617, 1027, 2212, 369, 264, 5743, 315, 1667, 11, 814, 2216, 3782, 311, 71199, 304, 279, 4216, 961, 315, 220, 2366, 16, 449, 1063, 58973, 32263, 73745, 6763, 13, 77419, 389, 279, 1203, 315, 18428, 5557, 11, 902, 1304, 45074, 1093, 13428, 3284, 11, 452, 4082, 753, 617, 279, 4754, 311, 387, 264, 49340, 32931, 50925, 13, 220, 1102, 753, 2103, 1633, 4216, 304, 279, 452, 4082, 25845, 11, 323, 433, 753, 3169, 315, 1093, 279, 8545, 8545, 9909, 1314, 1457, 13, 2030, 8830, 1148, 753, 12765, 323, 1268, 499, 649, 636, 6532, 1436, 2343, 65242, 56364, 304, 279, 3221, 3938, 13, 6914, 753, 30963, 304, 4999, 1271, 3619, 1148, 452, 4082, 753, 527, 11, 499, 1176, 617, 311, 3619, 1148, 18428, 5557, 374, 13, 9176, 315, 499, 690, 1440, 420, 2736, 11, 779, 11984, 449, 757, 13, 43985, 374, 264, 5557, 430, 6276, 369, 264, 49063, 1749, 315, 69963, 2038, 389, 279, 7757, 13, 21834, 315, 264, 48033, 11, 477, 24043, 2363, 13, 43985, 374, 3460, 315, 1093, 264, 48033, 430, 374, 389, 279, 7757, 13, 9062, 2565, 304, 279, 18428, 5727, 47773, 3927, 2038, 13, 3277, 264, 2349, 374, 1903, 311, 264, 2565, 11, 1778, 439, 264, 18355, 15637, 8481, 11, 1243, 430, 2565, 374, 6177, 449, 279, 7528, 2038, 13, 578, 2565, 374, 1243, 9041, 4028, 279, 48033, 11, 477, 8957, 11, 311, 2204, 7634, 1405, 1274, 649, 10356, 279, 2038, 627, 4599, 499, 3780, 18355, 11, 369, 3187, 11, 420, 4442, 2038, 389, 279, 18428, 311, 2713, 701, 15637, 315, 279, 18355, 13, 1115, 2038, 374, 1243, 9041, 4028, 279, 4009, 311, 11990, 315, 2204, 1054, 20606, 9520, 477, 3585, 315, 23751, 13, 578, 11471, 315, 18428, 374, 430, 433, 5097, 58983, 2410, 323, 6835, 433, 1203, 311, 279, 6206, 315, 279, 1274, 13, 763, 28591, 11, 499, 1541, 1431, 617, 311, 733, 1555, 8792, 14286, 477, 17047, 14926, 13, 1472, 649, 8481, 7528, 12032, 6089, 311, 1855, 1023, 11, 14734, 311, 14734, 11, 389, 279, 18428, 13, 1115, 706, 28254, 25127, 369, 5557, 11, 17452, 11, 11759, 11, 323, 1524, 279, 14209, 315, 279, 7140, 1614, 13, 1226, 527, 20025, 304, 279, 7314, 18094, 315, 1148, 420, 3445, 369, 8396, 627, 4012, 11, 1457, 430, 584, 617, 264, 2731, 25703, 389, 18428, 11, 1095, 753, 1935, 264, 1427, 520, 452, 4082, 753, 13, 452, 4082, 13656, 369, 11842, 7424, 2234, 1260, 9857, 13, 11842, 2269, 2234, 1260, 3445, 539, 9473, 481, 13, 11842, 10397, 3455, 481, 3445, 1070, 374, 1193, 832, 13, 1666, 16475, 311, 279, 8776, 1749, 315, 50812, 7528, 12032, 11, 18428, 5557, 1457, 6276, 499, 311, 1893, 832, 315, 2555, 13, 362, 2536, 2269, 2234, 1260, 2373, 315, 433, 627, 10267, 753, 1935, 369, 3187, 11, 264, 7528, 29409, 13, 1472, 1893, 420, 6366, 6710, 315, 1989, 1701, 99861, 11, 94465, 11, 477, 8996, 3241, 13, 1472, 1243, 1054, 68891, 863, 279, 6710, 11, 902, 13524, 3445, 499, 1893, 264, 5016, 7528, 12223, 315, 433, 323, 2231, 433, 389, 279, 18428, 13, 2468, 430, 1486, 11, 1070, 374, 1193, 220, 16, 1972, 2373, 315, 430, 29409, 13, 23371, 11, 499, 649, 1314, 4299, 323, 3665, 11, 323, 2103, 16822, 433, 17277, 13, 2030, 430, 832, 452, 4082, 11, 477, 18428, 2373, 315, 279, 6710, 11, 374, 279, 832, 323, 1193, 4113, 315, 430, 990, 13, 1115, 649, 387, 24884, 1701, 279, 18428, 13, 1628, 904, 10223, 315, 15637, 315, 420, 6710, 690, 1243, 387, 6177, 304, 1202, 7528, 2082, 389, 279, 18428, 627, 3923, 12838, 578, 452, 4082, 8152, 34863, 9372, 9086, 5380, 2028, 706, 28254, 25127, 369, 279, 4623, 315, 15637, 315, 7528, 12032, 13, 38530, 698, 11, 264, 11495, 7528, 10255, 11, 1550, 459, 21852, 6931, 420, 1060, 315, 264, 4526, 315, 813, 29409, 902, 6216, 369, 400, 3076, 3610, 11441, 13, 1115, 1903, 1461, 279, 4948, 93118, 5496, 10255, 304, 279, 1917, 13, 91395, 11021, 1884, 9863, 1457, 25241, 279, 5016, 220, 16, 315, 220, 16, 315, 1884, 4040, 4375, 627, 2675, 649, 1427, 520, 433, 420, 1648, 13, 2684, 374, 1193, 832, 99883, 29656, 13, 14968, 1070, 527, 11990, 315, 24370, 315, 279, 99883, 29656, 13, 19418, 499, 4856, 1866, 279, 4113, 99883, 29656, 11, 477, 832, 315, 279, 24370, 30, 41896, 1251, 279, 452, 4082, 315, 264, 990, 374, 279, 1890, 439, 41377, 459, 5150, 19354, 505, 459, 10255, 627, 10445, 12540, 33634, 11544, 459, 452, 4082, 5380, 1271, 923, 2500, 7185, 6324, 311, 682, 315, 420, 11, 14580, 11987, 617, 43333, 709, 2212, 682, 21522, 315, 452, 4082, 753, 13, 1952, 264, 14580, 3157, 11, 459, 6506, 315, 459, 452, 4082, 649, 594, 616, 279, 990, 311, 4423, 775, 13, 1115, 374, 682, 2884, 389, 279, 18428, 323, 279, 2349, 315, 15637, 690, 387, 6177, 304, 279, 48033, 13, 7429, 11, 279, 20514, 315, 279, 452, 4082, 11, 5304, 29437, 287, 279, 990, 11, 649, 75224, 264, 3738, 11668, 315, 1855, 6412, 311, 733, 1203, 311, 1124, 11, 439, 264, 3460, 315, 53817, 389, 279, 990, 13, 2100, 2019, 264, 6710, 13517, 6216, 369, 400, 1041, 15, 11, 323, 814, 1047, 264, 1034, 605, 53817, 43851, 13, 578, 1828, 892, 433, 31878, 11, 279, 3430, 374, 400, 1041, 11, 931, 13, 578, 10255, 1243, 5334, 264, 220, 605, 4, 53817, 11, 477, 400, 605, 11, 931, 13, 1115, 374, 264, 1633, 7185, 3245, 369, 13820, 323, 34899, 11, 323, 1436, 13893, 387, 264, 30191, 1648, 369, 1124, 311, 636, 39075, 66982, 369, 872, 990, 627, 40, 4344, 264, 39844, 11, 779, 279, 3938, 315, 420, 5557, 449, 4731, 12032, 374, 9193, 41765, 13, 1115, 16264, 709, 279, 13336, 315, 459, 10255, 753, 7359, 10671, 961, 7980, 315, 872, 4731, 13, 38891, 11, 439, 264, 18273, 10255, 11, 701, 7359, 3515, 279, 5845, 311, 2793, 304, 701, 502, 3254, 1093, 264, 5708, 13, 1442, 279, 5609, 9221, 264, 4295, 11, 323, 10283, 315, 85974, 527, 52872, 11, 1243, 279, 7359, 690, 387, 3025, 311, 4774, 1884, 4780, 439, 1664, 13, 3234, 499, 1781, 279, 7359, 1053, 387, 810, 4461, 311, 4430, 264, 5609, 389, 3674, 3772, 422, 814, 527, 3794, 7318, 85974, 505, 1202, 2450, 30, 358, 1781, 779, 627, 45, 4082, 753, 527, 3794, 872, 1212, 304, 1989, 11, 719, 358, 1781, 279, 3938, 315, 1124, 5900, 3117, 7953, 430, 22651, 13, 3277, 499, 2216, 1781, 922, 433, 11, 904, 5226, 1903, 1990, 12966, 649, 387, 29437, 291, 389, 279, 2565, 8957, 13, 1115, 19159, 264, 2536, 2269, 2234, 1260, 2373, 315, 430, 9306, 13, 5492, 323, 1841, 6763, 11, 8276, 10396, 11, 11103, 20038, 30, 358, 3152, 279, 3938, 315, 420, 374, 7029, 1825, 13, 40612, 24025, 11, 7397, 11, 62277, 11, 323, 6946, 617, 3719, 452, 4082, 753, 13, 7570, 420, 5117, 1436, 3719, 459, 452, 4082, 4999, 2746, 499, 1390, 311, 636, 1139, 279, 3634, 11, 358, 4284, 15389, 6405, 369, 1063, 315, 279, 452, 4082, 83407, 13, 2684, 527, 3892, 21542, 311, 1833, 430, 690, 3041, 499, 459, 20616, 1139, 279, 22651, 315, 24525, 13, 4702, 2778, 674, 45, 4082, 323, 1518, 1148, 499, 1505, 13, 3234, 3495, 389, 13674, 323, 3821, 1063, 6946, 13, 7429, 11, 1817, 704, 13335, 1093, 386, 8476, 17826, 11, 7445, 67511, 11, 323, 5377, 60261, 311, 1518, 1148, 753, 2736, 704, 1070, 627, 1687, 649, 1431, 1524, 13085, 279, 4442, 430, 279, 3221, 3938, 690, 4546, 922, 13, 12053, 374, 12765, 779, 5043, 11, 323, 433, 11321, 1093, 584, 3207, 20427, 389, 279, 1203, 315, 264, 3634, 37189, 16706, 520, 47420, 4732, 13, 1102, 5084, 8196, 311, 757, 11, 4869, 11, 439, 4423, 889, 706, 7318, 3345, 6666, 311, 279, 19566, 3157, 369, 3892, 1667, 11, 430, 452, 4082, 753, 527, 1618, 311, 4822, 13, 358, 1781, 814, 690, 617, 264, 6908, 5536, 389, 1268, 584, 656, 2626, 439, 264, 8396, 2133, 4741, 627, 4071, 369, 1457, 11, 733, 1817, 704, 33986, 47, 15655, 11, 17781, 34, 1900, 11, 477, 904, 1023, 67459, 452, 4082, 753, 13, 1472, 4805, 387, 46304, 555, 1148, 499, 1505, 11, 323, 1524, 810, 46304, 520, 279, 3430, 9681, 1828, 311, 1124, 13, 5377, 701, 4059, 11, 1825, 701, 7528, 15435, 11, 323, 4774, 279, 11879, 4999, 128001, -100, 21450, 25, 7568, 645, 323, 50372, 5238, 198, 8586, 374, 1148, 584, 17644, 304, 538, 198, 9, 21815, 520, 12135, 1990, 27030, 2212, 1380, 3078, 1147, 323, 15638, 5238, 198, 9, 3979, 5859, 4366, 5164, 848, 2453, 198, 9, 2206, 69774, 27030, 315, 58130, 848, 95801, 198, 9, 31943, 287, 12135, 1990, 12414, 27030, 198, 8586, 574, 1057, 8369, 709, 198, 1687, 15243, 922, 1268, 584, 1205, 27030, 311, 387, 279, 1890, 320, 26880, 8, 304, 2015, 311, 1304, 15638, 5238, 627, 1687, 15746, 420, 12738, 4731, 2835, 512, 8586, 574, 459, 9526, 584, 6818, 512, 32, 1380, 3078, 278, 374, 264, 1584, 430, 89284, 1403, 15638, 5238, 627, 24901, 584, 15243, 922, 12414, 27030, 512, 791, 29559, 574, 6959, 220, 17, 12, 18, 315, 507, 8460, 72, 753, 37736, 25, 7568, 645, 3112, 16956, 17213, 198, 35, 2279, 7742, 6664, 220, 23, 13, 128001, -100, 32, 2763, 315, 6699, 1541, 1431, 1440, 7041, 994, 264, 8334, 477, 3828, 8638, 311, 4048, 11, 1606, 315, 279, 13042, 17078, 430, 13305, 323, 7724, 4048, 520, 279, 1890, 892, 627, 4071, 3495, 13533, 430, 13305, 649, 4048, 1990, 279, 17051, 315, 220, 19, 323, 220, 717, 11, 323, 7724, 1990, 279, 4325, 315, 220, 23, 323, 220, 806, 627, 4599, 374, 264, 8334, 6975, 5380, 3947, 527, 2204, 13124, 315, 6975, 11, 4184, 311, 2999, 7957, 11, 889, 1101, 8640, 279, 9576, 11050, 14821, 520, 279, 3907, 315, 1561, 4987, 23782, 304, 21972, 627, 14305, 13305, 529, 6975, 1253, 387, 264, 2763, 810, 6532, 11, 323, 18065, 6975, 279, 5718, 315, 279, 1847, 2476, 568, 2795, 627, 14305, 7724, 529, 6975, 18065, 6975, 2574, 430, 527, 2753, 3062, 304, 279, 1847, 11, 1093, 1148, 814, 3207, 10171, 311, 656, 477, 1148, 814, 649, 1431, 656, 627, 644, 856, 3217, 11, 433, 753, 279, 13305, 529, 889, 4048, 279, 5718, 627, 2181, 753, 1633, 3062, 430, 13305, 4048, 922, 3674, 323, 14604, 4500, 49216, 9023, 7957, 2795, 264, 1695, 6041, 1486, 369, 13305, 323, 872, 4500, 374, 311, 1456, 311, 1977, 872, 12410, 323, 2274, 6928, 71177, 1778, 439, 3674, 16628, 627, 17818, 753, 922, 3515, 279, 12410, 311, 1514, 449, 701, 23939, 11, 3137, 311, 701, 4885, 11, 617, 264, 1695, 3674, 892, 323, 617, 264, 12835, 2476, 568, 15100, 627, 3947, 753, 264, 2763, 315, 1695, 9650, 704, 1070, 922, 1148, 311, 656, 422, 499, 1390, 701, 1716, 311, 1514, 810, 449, 64881, 11, 719, 430, 753, 539, 279, 1890, 439, 3339, 2771, 568, 753, 5737, 449, 813, 23939, 11, 902, 1436, 387, 11660, 369, 2911, 627, 9023, 13926, 2795, 422, 499, 3207, 18290, 922, 701, 1716, 11, 1541, 1431, 387, 627, 1548, 2795, 568, 3629, 40912, 430, 6699, 1456, 311, 3041, 701, 1716, 1063, 23939, 430, 527, 264, 2697, 810, 17436, 369, 279, 1403, 4771, 6418, 311, 1514, 11, 1093, 264, 18718, 477, 6437, 293, 82401, 5041, 477, 264, 22068, 2663, 264, 1054, 79, 10018, 11984, 113068, 38684, 814, 3207, 27207, 11, 477, 422, 814, 3207, 8430, 12703, 477, 38100, 11, 430, 649, 8346, 264, 8389, 13010, 2476, 2999, 13926, 2795, 627, 70214, 433, 753, 1888, 311, 3041, 1124, 2555, 430, 814, 649, 1514, 449, 49216, 2746, 499, 3207, 264, 2748, 323, 499, 617, 10742, 922, 701, 4538, 477, 10003, 11, 3137, 433, 927, 449, 264, 24687, 11, 889, 649, 1427, 520, 1148, 374, 6220, 323, 1148, 374, 539, 11, 2999, 13926, 15100, 627, 49977, 753, 264, 1633, 6485, 3158, 323, 433, 753, 2216, 2653, 369, 8689, 311, 3619, 11, 779, 358, 4070, 2751, 1063, 5070, 430, 358, 649, 7079, 311, 8689, 2029, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448 ]
[ 128000, 60261, 31676, 466, 15379, 31676, 466, 25, 578, 3158, 6089, 24923, 279, 10065, 374, 8774, 8369, 13, 2435, 1101, 1156, 5389, 713, 3691, 2163, 555, 1023, 56217, 13, 2435, 527, 39999, 344, 20857, 11, 323, 8343, 16763, 288, 11, 20282, 11, 323, 11141, 627, 7009, 617, 3831, 49695, 323, 64614, 311, 10737, 311, 872, 80492, 2324, 13, 57686, 300, 527, 72627, 56217, 11, 3515, 912, 5933, 56217, 5694, 627, 20147, 1974, 61536, 73778, 61535, 527, 26454, 46309, 315, 279, 37518, 5654, 13, 5340, 79, 53625, 5340, 79, 53625, 578, 4960, 79, 26418, 374, 9405, 449, 264, 14071, 23724, 430, 10800, 4251, 1306, 2380, 2919, 13, 9369, 6685, 369, 2038, 922, 420, 10065, 627, 6720, 11, 8987, 18742, 16168, 11705, 459, 1672, 15853, 6324, 315, 87316, 3805, 1990, 279, 11984, 323, 433, 596, 45834, 88, 40190, 13, 578, 12224, 5334, 1202, 836, 389, 2759, 315, 1202, 4251, 2010, 56994, 13, 1102, 374, 12314, 1102, 374, 1633, 1317, 1102, 706, 42902, 66060, 6690, 374, 264, 11364, 1672, 10733, 11, 323, 279, 42902, 66060, 315, 279, 40638, 51715, 2567, 279, 3805, 82830, 555, 2547, 8798, 3345, 555, 1405, 433, 374, 4460, 627, 7009, 1101, 617, 264, 8147, 97103, 5647, 323, 264, 1695, 11376, 449, 279, 1520, 315, 902, 814, 2339, 872, 37693, 13, 52849, 12875, 323, 37518, 56271, 527, 2225, 5258, 89721, 315, 26769, 37642, 11, 3053, 285, 99889, 355, 13, 578, 56994, 315, 279, 20229, 2567, 872, 2547, 8369, 627, 54, 18685, 527, 2744, 389, 279, 463, 27515, 369, 9333, 97310, 13, 2435, 527, 30464, 311, 5471, 279, 96018, 505, 62193, 1139, 279, 12056, 13, 7429, 3967, 439, 279, 25534, 51119, 11, 420, 26588, 291, 51119, 374, 264, 4562, 315, 279, 99269, 3070, 13, 4314, 25896, 527, 10409, 449, 3805, 323, 2567, 279, 20229, 3177, 323, 1520, 304, 11213, 627, 7098, 26636, 13585, 37518, 13585, 25, 17830, 11, 279, 78571, 23724, 13912, 32257, 3201, 311, 2567, 420, 11191, 17661, 6220, 505, 279, 43643, 1154, 315, 9950, 1605, 91299, 13, 8876, 2579, 13339, 5727, 1524, 810, 25247, 439, 9616, 311, 1234, 74189, 779, 433, 6835, 1461, 2294, 25247, 449, 1475, 3254, 23556, 315, 15496, 627, 47, 7569, 30824, 527, 29691, 56669, 13, 7570, 3582, 25685, 30824, 3974, 304, 33615, 323, 20268, 4787, 11, 3686, 814, 527, 14268, 6319, 311, 18167, 304, 1778, 20472, 1087, 7569, 78447, 482, 21995, 59531, 811, 13, 220, 16, 267, 24749, 555, 21995, 59531, 811, 13, 8215, 73331, 9176, 10099, 304, 279, 25685, 5654, 527, 4251, 477, 2543, 4251, 627, 2028, 8779, 1124, 20955, 304, 449, 682, 279, 12056, 323, 10054, 627, 5028, 92986, 1102, 374, 48174, 9439, 304, 279, 802, 26636, 13, 47966, 690, 617, 264, 12314, 6324, 315, 1529, 92986, 1234, 279, 6930, 13, 56996, 78447, 482, 20289, 13, 220, 16, 267, 24749, 13, 8524, 13, 220, 16, 267, 13, 37518, 59531, 811, 2650, 617, 10099, 30464, 311, 279, 25984, 4676, 315, 279, 37518, 30, 6405, 26, 5690, 26, 5195, 10, 26, 5195, 77129, 26, 5654, 520, 9420, 596, 14560, 10411, 11, 38632, 291, 555, 279, 37518, 21918, 627, 7560, 3418, 385, 7018, 292, 16165, 25, 37518, 30464, 505, 5165, 66542, 1630, 7018, 6055, 18228, 1054, 47, 7569, 78447, 25, 37518, 59531, 811, 323, 8121, 14727, 11613, 11453, 8215, 73331, 9176, 10099, 304, 279, 25685, 5654, 527, 4251, 477, 2543, 4251, 13, 1115, 8779, 1124, 20955, 304, 449, 682, 279, 12056, 323, 10054, 627, 5028, 92986, 1102, 374, 48174, 9439, 304, 279, 802, 26636, 13, 47966, 690, 617, 264, 12314, 6324, 315, 1529, 92986, 1234, 279, 6930, 13, 1102, 3727, 1124, 1427, 8834, 11, 719, 433, 13912, 1124, 8369, 779, 814, 649, 18167, 279, 9439, 2919, 13, 2650, 80841, 10099, 527, 30464, 311, 872, 4676, 11, 73069, 648, 281, 46972, 11, 57883, 281, 46972, 11, 11077, 67, 616, 26418, 11, 6437, 51119, 323, 23975, 484, 80841, 10065, 77765, 11, 281, 56458, 11, 57877, 11, 23975, 484, 11, 57874, 72787, 627, 67171, 41314, 59531, 811, 22919, 6437, 57874, 617, 264, 7446, 4907, 16686, 304, 279, 5654, 315, 3610, 735, 18536, 73, 283, 645, 320, 3610, 15395, 3768, 2490, 570, 1115, 374, 17665, 555, 709, 311, 52021, 477, 220, 1272, 3610, 3927, 23975, 484, 35661, 824, 1938, 902, 682, 617, 311, 387, 15590, 555, 279, 60071, 1887, 627, 7098, 26636, 259, 79830, 10099, 656, 539, 4774, 279, 19913, 315, 5042, 14836, 1139, 12314, 36658, 311, 12731, 279, 68196, 10160, 13, 12361, 11, 433, 374, 1120, 1124, 6296, 13, 13057, 40014, 288, 315, 5021, 1752, 259, 79830, 62304, 128001, 128000, 3957, 5340, 65670, 52756, 578, 5348, 29026, 9454, 30, 14412, 25, 33792, 11, 8431, 3268, 11, 16803, 5111, 11, 76445, 2191, 11, 5340, 65670, 52756, 198, 791, 4320, 374, 1054, 9891, 11, 2225, 2029, 64546, 552, 527, 1093, 39653, 2345, 3646, 617, 3185, 6372, 13, 22425, 5493, 1093, 1701, 279, 11537, 311, 2680, 279, 50383, 11, 3686, 48969, 18189, 6485, 4455, 311, 832, 13167, 430, 29280, 988, 17223, 15635, 73967, 430, 33651, 2744, 35064, 988, 627, 79039, 9454, 8636, 8254, 4038, 1306, 279, 49533, 79496, 279, 1054, 20357, 89720, 863, 1405, 1364, 31894, 369, 1403, 1667, 13, 3005, 574, 37755, 13, 5340, 65670, 52756, 28883, 1077, 90838, 1105, 323, 12439, 3156, 220, 5833, 13, 3005, 6244, 11, 2781, 11, 264, 3776, 5340, 65670, 38530, 9211, 800, 24665, 11, 323, 264, 8954, 51764, 32608, 448, 13, 6385, 513, 3329, 51342, 4953, 7024, 304, 279, 9601, 315, 264, 60468, 11617, 711, 1142, 5270, 753, 21744, 26640, 311, 29241, 1148, 7077, 994, 3026, 12020, 3278, 439, 3424, 9522, 15069, 23134, 555, 81851, 198, 12, 578, 12873, 350, 820, 40713, 311, 15948, 12220, 279, 5165, 90232, 304, 279, 220, 5162, 15, 82, 198, 12, 3277, 279, 22193, 763, 85846, 660, 264, 42855, 27643, 198, 12, 2650, 279, 32767, 47997, 16910, 7199, 4470, 369, 3420, 198, 12, 14129, 55265, 25, 11826, 36302, 6342, 19418, 2893, 84349, 315, 9641, 3420, 198, 12, 49344, 527, 26422, 3420, 311, 7631, 4892, 12126, 471, 279, 39608, 393, 61850, 198, 12, 47363, 39760, 46823, 2795, 279, 11501, 315, 279, 3420, 8735, 706, 22088, 198, 12, 22425, 1122, 25, 17118, 9053, 23528, 311, 387, 27569, 439, 9424, 700, 5079, 11, 2288, 198, 12, 1226, 3207, 34799, 365, 19587, 279, 3925, 315, 1057, 36330, 11, 2795, 54783, 21750, 198, 12, 22425, 5493, 83888, 16299, 4900, 66486, 7923, 13199, 10599, 12540, 7199, 198, 12, 54462, 8270, 753, 19455, 386, 13, 9259, 2795, 2978, 38212, 527, 27207, 315, 14584, 11542, 128001 ]
[ -100, 60261, 31676, 466, 15379, 31676, 466, 25, 578, 3158, 6089, 24923, 279, 10065, 374, 8774, 8369, 13, 2435, 1101, 1156, 5389, 713, 3691, 2163, 555, 1023, 56217, 13, 2435, 527, 39999, 344, 20857, 11, 323, 8343, 16763, 288, 11, 20282, 11, 323, 11141, 627, 7009, 617, 3831, 49695, 323, 64614, 311, 10737, 311, 872, 80492, 2324, 13, 57686, 300, 527, 72627, 56217, 11, 3515, 912, 5933, 56217, 5694, 627, 20147, 1974, 61536, 73778, 61535, 527, 26454, 46309, 315, 279, 37518, 5654, 13, 5340, 79, 53625, 5340, 79, 53625, 578, 4960, 79, 26418, 374, 9405, 449, 264, 14071, 23724, 430, 10800, 4251, 1306, 2380, 2919, 13, 9369, 6685, 369, 2038, 922, 420, 10065, 627, 6720, 11, 8987, 18742, 16168, 11705, 459, 1672, 15853, 6324, 315, 87316, 3805, 1990, 279, 11984, 323, 433, 596, 45834, 88, 40190, 13, 578, 12224, 5334, 1202, 836, 389, 2759, 315, 1202, 4251, 2010, 56994, 13, 1102, 374, 12314, 1102, 374, 1633, 1317, 1102, 706, 42902, 66060, 6690, 374, 264, 11364, 1672, 10733, 11, 323, 279, 42902, 66060, 315, 279, 40638, 51715, 2567, 279, 3805, 82830, 555, 2547, 8798, 3345, 555, 1405, 433, 374, 4460, 627, 7009, 1101, 617, 264, 8147, 97103, 5647, 323, 264, 1695, 11376, 449, 279, 1520, 315, 902, 814, 2339, 872, 37693, 13, 52849, 12875, 323, 37518, 56271, 527, 2225, 5258, 89721, 315, 26769, 37642, 11, 3053, 285, 99889, 355, 13, 578, 56994, 315, 279, 20229, 2567, 872, 2547, 8369, 627, 54, 18685, 527, 2744, 389, 279, 463, 27515, 369, 9333, 97310, 13, 2435, 527, 30464, 311, 5471, 279, 96018, 505, 62193, 1139, 279, 12056, 13, 7429, 3967, 439, 279, 25534, 51119, 11, 420, 26588, 291, 51119, 374, 264, 4562, 315, 279, 99269, 3070, 13, 4314, 25896, 527, 10409, 449, 3805, 323, 2567, 279, 20229, 3177, 323, 1520, 304, 11213, 627, 7098, 26636, 13585, 37518, 13585, 25, 17830, 11, 279, 78571, 23724, 13912, 32257, 3201, 311, 2567, 420, 11191, 17661, 6220, 505, 279, 43643, 1154, 315, 9950, 1605, 91299, 13, 8876, 2579, 13339, 5727, 1524, 810, 25247, 439, 9616, 311, 1234, 74189, 779, 433, 6835, 1461, 2294, 25247, 449, 1475, 3254, 23556, 315, 15496, 627, 47, 7569, 30824, 527, 29691, 56669, 13, 7570, 3582, 25685, 30824, 3974, 304, 33615, 323, 20268, 4787, 11, 3686, 814, 527, 14268, 6319, 311, 18167, 304, 1778, 20472, 1087, 7569, 78447, 482, 21995, 59531, 811, 13, 220, 16, 267, 24749, 555, 21995, 59531, 811, 13, 8215, 73331, 9176, 10099, 304, 279, 25685, 5654, 527, 4251, 477, 2543, 4251, 627, 2028, 8779, 1124, 20955, 304, 449, 682, 279, 12056, 323, 10054, 627, 5028, 92986, 1102, 374, 48174, 9439, 304, 279, 802, 26636, 13, 47966, 690, 617, 264, 12314, 6324, 315, 1529, 92986, 1234, 279, 6930, 13, 56996, 78447, 482, 20289, 13, 220, 16, 267, 24749, 13, 8524, 13, 220, 16, 267, 13, 37518, 59531, 811, 2650, 617, 10099, 30464, 311, 279, 25984, 4676, 315, 279, 37518, 30, 6405, 26, 5690, 26, 5195, 10, 26, 5195, 77129, 26, 5654, 520, 9420, 596, 14560, 10411, 11, 38632, 291, 555, 279, 37518, 21918, 627, 7560, 3418, 385, 7018, 292, 16165, 25, 37518, 30464, 505, 5165, 66542, 1630, 7018, 6055, 18228, 1054, 47, 7569, 78447, 25, 37518, 59531, 811, 323, 8121, 14727, 11613, 11453, 8215, 73331, 9176, 10099, 304, 279, 25685, 5654, 527, 4251, 477, 2543, 4251, 13, 1115, 8779, 1124, 20955, 304, 449, 682, 279, 12056, 323, 10054, 627, 5028, 92986, 1102, 374, 48174, 9439, 304, 279, 802, 26636, 13, 47966, 690, 617, 264, 12314, 6324, 315, 1529, 92986, 1234, 279, 6930, 13, 1102, 3727, 1124, 1427, 8834, 11, 719, 433, 13912, 1124, 8369, 779, 814, 649, 18167, 279, 9439, 2919, 13, 2650, 80841, 10099, 527, 30464, 311, 872, 4676, 11, 73069, 648, 281, 46972, 11, 57883, 281, 46972, 11, 11077, 67, 616, 26418, 11, 6437, 51119, 323, 23975, 484, 80841, 10065, 77765, 11, 281, 56458, 11, 57877, 11, 23975, 484, 11, 57874, 72787, 627, 67171, 41314, 59531, 811, 22919, 6437, 57874, 617, 264, 7446, 4907, 16686, 304, 279, 5654, 315, 3610, 735, 18536, 73, 283, 645, 320, 3610, 15395, 3768, 2490, 570, 1115, 374, 17665, 555, 709, 311, 52021, 477, 220, 1272, 3610, 3927, 23975, 484, 35661, 824, 1938, 902, 682, 617, 311, 387, 15590, 555, 279, 60071, 1887, 627, 7098, 26636, 259, 79830, 10099, 656, 539, 4774, 279, 19913, 315, 5042, 14836, 1139, 12314, 36658, 311, 12731, 279, 68196, 10160, 13, 12361, 11, 433, 374, 1120, 1124, 6296, 13, 13057, 40014, 288, 315, 5021, 1752, 259, 79830, 62304, 128001, -100, 3957, 5340, 65670, 52756, 578, 5348, 29026, 9454, 30, 14412, 25, 33792, 11, 8431, 3268, 11, 16803, 5111, 11, 76445, 2191, 11, 5340, 65670, 52756, 198, 791, 4320, 374, 1054, 9891, 11, 2225, 2029, 64546, 552, 527, 1093, 39653, 2345, 3646, 617, 3185, 6372, 13, 22425, 5493, 1093, 1701, 279, 11537, 311, 2680, 279, 50383, 11, 3686, 48969, 18189, 6485, 4455, 311, 832, 13167, 430, 29280, 988, 17223, 15635, 73967, 430, 33651, 2744, 35064, 988, 627, 79039, 9454, 8636, 8254, 4038, 1306, 279, 49533, 79496, 279, 1054, 20357, 89720, 863, 1405, 1364, 31894, 369, 1403, 1667, 13, 3005, 574, 37755, 13, 5340, 65670, 52756, 28883, 1077, 90838, 1105, 323, 12439, 3156, 220, 5833, 13, 3005, 6244, 11, 2781, 11, 264, 3776, 5340, 65670, 38530, 9211, 800, 24665, 11, 323, 264, 8954, 51764, 32608, 448, 13, 6385, 513, 3329, 51342, 4953, 7024, 304, 279, 9601, 315, 264, 60468, 11617, 711, 1142, 5270, 753, 21744, 26640, 311, 29241, 1148, 7077, 994, 3026, 12020, 3278, 439, 3424, 9522, 15069, 23134, 555, 81851, 198, 12, 578, 12873, 350, 820, 40713, 311, 15948, 12220, 279, 5165, 90232, 304, 279, 220, 5162, 15, 82, 198, 12, 3277, 279, 22193, 763, 85846, 660, 264, 42855, 27643, 198, 12, 2650, 279, 32767, 47997, 16910, 7199, 4470, 369, 3420, 198, 12, 14129, 55265, 25, 11826, 36302, 6342, 19418, 2893, 84349, 315, 9641, 3420, 198, 12, 49344, 527, 26422, 3420, 311, 7631, 4892, 12126, 471, 279, 39608, 393, 61850, 198, 12, 47363, 39760, 46823, 2795, 279, 11501, 315, 279, 3420, 8735, 706, 22088, 198, 12, 22425, 1122, 25, 17118, 9053, 23528, 311, 387, 27569, 439, 9424, 700, 5079, 11, 2288, 198, 12, 1226, 3207, 34799, 365, 19587, 279, 3925, 315, 1057, 36330, 11, 2795, 54783, 21750, 198, 12, 22425, 5493, 83888, 16299, 4900, 66486, 7923, 13199, 10599, 12540, 7199, 198, 12, 54462, 8270, 753, 19455, 386, 13, 9259, 2795, 2978, 38212, 527, 27207, 315, 14584, 11542, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317 ]
[ 128000, 791, 13180, 315, 15212, 32126, 13985, 11714, 7742, 11, 902, 23828, 3422, 449, 279, 2457, 220, 868, 44327, 360, 29342, 64, 104015, 220, 8929, 18, 11, 279, 11341, 315, 279, 6278, 18266, 315, 279, 2305, 315, 69090, 33607, 11, 902, 44642, 505, 279, 13783, 81260, 11, 439, 433, 374, 279, 2132, 14880, 13, 578, 18266, 8111, 304, 279, 50393, 315, 15212, 323, 279, 10989, 1917, 323, 374, 2663, 279, 1054, 496, 675, 15717, 18266, 9520, 323, 9922, 9539, 520, 1202, 18585, 1486, 505, 9420, 627, 2028, 836, 374, 4245, 311, 17118, 9053, 1606, 420, 14880, 18266, 8111, 304, 3717, 449, 279, 73700, 24322, 3280, 627, 20397, 1202, 836, 11, 433, 1587, 539, 5101, 304, 279, 18718, 477, 2579, 1933, 430, 3752, 4861, 279, 11341, 315, 279, 18266, 304, 1023, 87283, 18852, 13, 1115, 18266, 374, 2663, 279, 6680, 18266, 323, 374, 832, 315, 279, 1455, 34147, 87283, 44247, 369, 13820, 11, 74072, 323, 32629, 13, 6957, 279, 17051, 11, 387, 433, 264, 36277, 18266, 11, 264, 2539, 18266, 11, 477, 1524, 264, 4382, 46858, 1189, 627, 20397, 3634, 27501, 304, 6617, 3115, 11, 279, 18266, 753, 33464, 706, 539, 54434, 323, 433, 706, 35363, 1202, 2035, 323, 1202, 28254, 24632, 2515, 389, 12966, 11, 10099, 323, 7138, 304, 4689, 627, 1149, 1188, 18266, 49428, 198, 791, 6680, 18266, 3782, 449, 3958, 58689, 369, 1690, 86569, 13, 578, 14154, 763, 936, 1274, 320, 276, 14154, 32447, 5918, 555, 279, 50873, 485, 5493, 304, 279, 4987, 3778, 5654, 8, 33398, 279, 1933, 2579, 439, 264, 27840, 19253, 52835, 88289, 287, 279, 18266, 323, 1243, 13353, 1139, 264, 93101, 63550, 87135, 315, 279, 9578, 627, 791, 4953, 300, 1053, 46789, 11, 42945, 872, 2395, 1590, 11, 323, 54842, 520, 872, 12875, 11, 16026, 311, 1304, 3403, 12248, 311, 2567, 279, 27840, 19253, 1022, 279, 5015, 627, 791, 57811, 56528, 574, 6646, 264, 1879, 315, 3440, 389, 279, 11734, 304, 14154, 36684, 89490, 309, 689, 11, 902, 374, 11340, 11, 12911, 323, 17442, 1990, 279, 350, 5346, 285, 323, 469, 455, 4171, 988, 36617, 627, 18433, 315, 872, 5845, 311, 7168, 279, 2457, 315, 279, 56528, 449, 2294, 13708, 11, 279, 1274, 315, 36684, 89490, 309, 689, 10487, 264, 905, 11734, 2391, 279, 8250, 315, 279, 56528, 11, 323, 1243, 279, 4113, 11734, 6052, 311, 813, 44721, 1306, 433, 9670, 627, 2170, 369, 36142, 36017, 11, 279, 56528, 574, 33398, 439, 279, 1121, 315, 44451, 16558, 279, 658, 953, 404, 315, 4998, 76052, 323, 91747, 279, 2010, 315, 279, 18266, 11, 902, 9731, 311, 67106, 369, 279, 8250, 315, 279, 36277, 18266, 627, 4054, 315, 279, 1455, 11495, 51286, 374, 279, 13314, 315, 279, 16488, 309, 278, 86250, 1274, 304, 350, 24404, 323, 7505, 258, 304, 10384, 11, 889, 1518, 279, 57811, 56528, 439, 264, 4208, 1990, 279, 7160, 323, 279, 18266, 430, 43496, 279, 14154, 665, 76, 488, 1990, 1124, 627, 2170, 369, 15558, 7829, 11, 279, 57811, 56528, 374, 11497, 2085, 94705, 684, 11, 439, 2225, 279, 7160, 323, 279, 18266, 4097, 459, 21070, 315, 4359, 753, 2410, 13, 315, 21058, 927, 5414, 20566, 627, 644, 9052, 7829, 11, 279, 36277, 18266, 374, 5938, 449, 1148, 814, 4510, 574, 279, 15131, 97422, 290, 315, 3771, 323, 374, 264, 1620, 1879, 315, 279, 1917, 627, 791, 18266, 304, 279, 9302, 19071, 198, 791, 1176, 4096, 315, 279, 18266, 574, 1766, 304, 7665, 1989, 304, 10057, 11, 433, 374, 264, 220, 6843, 15, 4771, 6418, 40907, 13668, 3967, 439, 279, 1054, 45, 51313, 15064, 9520, 37109, 449, 6761, 11, 28029, 323, 46858, 1189, 21483, 11, 323, 574, 4762, 1511, 304, 24654, 87283, 627, 791, 18266, 574, 1511, 304, 279, 9302, 19071, 311, 4097, 1690, 2204, 2574, 11, 1778, 439, 25, 57311, 11, 9734, 3427, 11, 323, 279, 8954, 10026, 13, 53204, 3629, 7111, 520, 279, 18266, 304, 2778, 315, 1202, 11204, 304, 279, 55383, 19071, 13, 3771, 4184, 311, 32186, 627, 52665, 7210, 10255, 99257, 3394, 29988, 77080, 7633, 304, 220, 3753, 15, 264, 7276, 57811, 56528, 389, 459, 4384, 6307, 2115, 304, 832, 315, 813, 36692, 13, 10541, 279, 19354, 374, 12401, 311, 59851, 323, 1587, 539, 6782, 1790, 7872, 11, 279, 54434, 8146, 12146, 555, 279, 10255, 7838, 279, 31687, 8430, 315, 279, 18266, 13, 37223, 627, 644, 279, 19354, 1054, 11874, 11258, 53389, 315, 279, 17781, 863, 555, 6063, 10255, 11301, 1768, 6941, 80474, 304, 220, 10828, 15, 11, 1403, 3026, 5101, 304, 264, 6453, 13952, 439, 422, 814, 1051, 22128, 9298, 279, 18266, 323, 7556, 922, 433, 13, 578, 1403, 3026, 2559, 304, 264, 22520, 6237, 449, 872, 28678, 311, 279, 26792, 11, 7231, 279, 21455, 430, 1070, 374, 2555, 8340, 430, 814, 527, 4560, 311, 11322, 477, 1440, 627, 644, 279, 2132, 4376, 315, 279, 62520, 9478, 11, 279, 38940, 315, 56528, 13820, 1051, 2753, 3062, 369, 12624, 18841, 323, 810, 369, 279, 23692, 315, 279, 1567, 13, 1789, 264, 55801, 1567, 315, 420, 12939, 323, 15234, 11, 279, 10255, 753, 8071, 5084, 311, 387, 264, 5507, 315, 3062, 13, 13118, 11, 1606, 433, 374, 2103, 264, 23347, 44518, 25885, 430, 279, 10255, 41255, 304, 5370, 7739, 304, 813, 36692, 627, 644, 279, 9478, 13, 323, 420, 1912, 315, 5448, 8625, 311, 420, 1938, 279, 18585, 311, 279, 18266, 11, 779, 433, 374, 7170, 22568, 449, 1579, 64036, 25232, 627, 20397, 682, 279, 4375, 9932, 11, 35407, 5355, 480, 65036, 753, 1054, 626, 11687, 13120, 863, 374, 279, 1455, 11495, 19354, 323, 832, 315, 279, 1455, 10456, 323, 1664, 22015, 36692, 304, 6617, 19001, 1989, 13, 13000, 480, 65036, 24937, 433, 449, 40545, 349, 62726, 323, 3831, 11, 10107, 8146, 11, 3582, 568, 24937, 433, 505, 279, 3321, 315, 279, 14539, 11151, 978, 2465, 6953, 58186, 85, 768, 8528, 66844, 304, 18561, 9822, 1418, 27723, 1461, 369, 18710, 323, 65919, 19823, 13, 128001, 128000, 791, 9341, 26737, 311, 3839, 279, 9341, 3135, 315, 279, 386, 71679, 7427, 28206, 469, 7939, 14275, 291, 8167, 320, 1820, 29386, 8154, 6852, 1963, 31282, 570, 578, 16940, 1963, 374, 264, 1949, 2273, 60684, 291, 3157, 6864, 2065, 12923, 291, 1963, 6319, 311, 8881, 279, 25452, 5178, 315, 3544, 12, 323, 5209, 98231, 2065, 549, 815, 13, 5220, 449, 37849, 12434, 11, 3674, 323, 35186, 320, 31282, 1600, 38, 31282, 8, 18594, 1418, 19486, 16781, 15670, 11, 2737, 18054, 31376, 10633, 14675, 13, 578, 3887, 8965, 690, 2793, 520, 3325, 220, 1954, 4, 315, 1202, 12032, 304, 279, 3777, 34919, 315, 279, 16940, 1963, 13, 1102, 374, 2536, 33885, 388, 1908, 13, 128001, 128000, 5028, 277, 3520, 323, 47051, 71, 527, 3967, 6957, 14990, 439, 279, 1403, 1455, 6366, 33889, 389, 279, 13218, 13, 7357, 1938, 264, 5951, 11141, 505, 1057, 5274, 304, 20467, 6825, 13, 5810, 520, 28982, 3751, 19111, 11, 584, 527, 1633, 12691, 311, 617, 279, 1888, 6187, 57149, 315, 279, 4459, 3158, 315, 73463, 34, 672, 323, 279, 3363, 13, 1226, 1212, 304, 279, 3363, 315, 53036, 520, 220, 717, 25, 966, 627, 5451, 584, 733, 311, 2563, 277, 3520, 27987, 11, 3967, 439, 279, 2816, 315, 2563, 277, 3520, 14637, 323, 279, 2563, 277, 3520, 47400, 268, 34202, 13, 578, 33684, 574, 18538, 555, 279, 45040, 3070, 304, 220, 8929, 21, 323, 574, 264, 16399, 2816, 304, 25981, 2403, 1023, 18088, 8689, 323, 7362, 8603, 13, 11450, 433, 17482, 439, 279, 1455, 11495, 33684, 304, 14990, 323, 1060, 1306, 1060, 4131, 11990, 315, 15613, 311, 21735, 279, 11495, 2563, 277, 3520, 9998, 13, 3161, 1057, 6187, 14986, 279, 20396, 311, 279, 33684, 11, 902, 374, 6118, 13281, 220, 717, 11, 374, 5343, 304, 279, 3430, 315, 279, 7364, 13, 4740, 279, 33684, 11, 584, 733, 311, 279, 13863, 315, 2563, 277, 3520, 11, 902, 706, 810, 1109, 220, 3965, 36680, 315, 19837, 323, 422, 433, 374, 40798, 279, 1938, 315, 279, 7364, 374, 832, 315, 279, 1455, 6366, 19795, 304, 53036, 13, 5112, 584, 1047, 16163, 304, 279, 6424, 315, 2563, 277, 3520, 11, 304, 279, 2563, 277, 3520, 28357, 33389, 34202, 10960, 13, 1226, 7079, 279, 18088, 61443, 11, 279, 8776, 3691, 315, 279, 5654, 627, 1688, 47051, 71, 11, 584, 10717, 1176, 520, 279, 89862, 21460, 4219, 13, 47051, 71, 574, 279, 1176, 6134, 315, 5569, 315, 279, 89862, 11, 1603, 433, 65330, 304, 220, 7529, 17, 11, 449, 279, 4648, 315, 220, 16, 11, 2636, 22961, 13, 10180, 220, 3965, 22961, 45519, 279, 89862, 304, 47051, 71, 323, 1070, 374, 264, 24925, 12514, 311, 1124, 323, 682, 279, 1023, 12697, 520, 279, 89862, 34243, 5955, 13, 763, 5369, 1070, 374, 264, 43738, 315, 279, 3830, 5274, 315, 279, 5929, 7834, 7228, 13, 47051, 71, 374, 539, 1193, 11495, 369, 279, 89862, 11, 433, 374, 1101, 459, 3158, 315, 73463, 53980, 13444, 430, 1587, 539, 3073, 304, 1690, 1023, 7634, 304, 279, 1917, 13, 4800, 433, 17482, 439, 264, 1633, 3062, 46398, 2385, 369, 279, 18088, 19574, 323, 422, 499, 733, 304, 279, 7474, 11, 433, 374, 1633, 4461, 430, 499, 690, 1518, 6908, 32731, 520, 279, 18618, 11, 682, 505, 2204, 33472, 315, 279, 1917, 627, 7927, 8641, 690, 387, 459, 6335, 389, 682, 13970, 323, 13042, 4819, 430, 5101, 389, 279, 2563, 277, 3520, 323, 47051, 71, 6187, 14986, 13, 763, 5369, 11, 1057, 12050, 527, 1633, 11919, 323, 2744, 5644, 311, 1520, 499, 13, 1442, 499, 1390, 810, 2038, 11, 1935, 264, 1427, 520, 1057, 2199, 13, 2684, 1057, 2128, 649, 4320, 904, 3488, 499, 617, 922, 1057, 6187, 57149, 11, 477, 922, 4689, 7640, 304, 53036, 627, 128001, 128000, 32052, 527, 10371, 369, 6603, 311, 1373, 4999, 5159, 5403, 538, 706, 21536, 304, 3021, 449, 279, 22022, 9636, 93037, 4101, 555, 5460, 37451, 798, 13, 1226, 617, 1373, 2380, 315, 813, 6603, 304, 279, 4101, 323, 279, 2911, 649, 956, 636, 3403, 0, 34067, 814, 527, 539, 42702, 922, 872, 5403, 892, 719, 369, 279, 3347, 2305, 682, 315, 279, 4236, 617, 1027, 24450, 311, 6865, 323, 1373, 810, 922, 279, 1403, 289, 81057, 5885, 304, 279, 4101, 13, 19173, 279, 2380, 11236, 358, 617, 315, 279, 2363, 527, 259, 22688, 323, 2362, 13, 358, 617, 264, 1879, 704, 11071, 779, 430, 1855, 5575, 5334, 459, 6776, 311, 1373, 279, 3446, 389, 872, 1866, 13, 358, 617, 27600, 369, 279, 1023, 11236, 6957, 279, 2978, 719, 1070, 527, 539, 3403, 11236, 311, 733, 2212, 13, 1442, 584, 1436, 636, 3116, 11236, 315, 1855, 2363, 304, 279, 4101, 279, 4236, 1053, 387, 3025, 311, 617, 2678, 1912, 7754, 323, 2363, 13739, 13, 1115, 4526, 690, 8854, 1690, 4236, 369, 1690, 1667, 13, 128001 ]
[ -100, 791, 13180, 315, 15212, 32126, 13985, 11714, 7742, 11, 902, 23828, 3422, 449, 279, 2457, 220, 868, 44327, 360, 29342, 64, 104015, 220, 8929, 18, 11, 279, 11341, 315, 279, 6278, 18266, 315, 279, 2305, 315, 69090, 33607, 11, 902, 44642, 505, 279, 13783, 81260, 11, 439, 433, 374, 279, 2132, 14880, 13, 578, 18266, 8111, 304, 279, 50393, 315, 15212, 323, 279, 10989, 1917, 323, 374, 2663, 279, 1054, 496, 675, 15717, 18266, 9520, 323, 9922, 9539, 520, 1202, 18585, 1486, 505, 9420, 627, 2028, 836, 374, 4245, 311, 17118, 9053, 1606, 420, 14880, 18266, 8111, 304, 3717, 449, 279, 73700, 24322, 3280, 627, 20397, 1202, 836, 11, 433, 1587, 539, 5101, 304, 279, 18718, 477, 2579, 1933, 430, 3752, 4861, 279, 11341, 315, 279, 18266, 304, 1023, 87283, 18852, 13, 1115, 18266, 374, 2663, 279, 6680, 18266, 323, 374, 832, 315, 279, 1455, 34147, 87283, 44247, 369, 13820, 11, 74072, 323, 32629, 13, 6957, 279, 17051, 11, 387, 433, 264, 36277, 18266, 11, 264, 2539, 18266, 11, 477, 1524, 264, 4382, 46858, 1189, 627, 20397, 3634, 27501, 304, 6617, 3115, 11, 279, 18266, 753, 33464, 706, 539, 54434, 323, 433, 706, 35363, 1202, 2035, 323, 1202, 28254, 24632, 2515, 389, 12966, 11, 10099, 323, 7138, 304, 4689, 627, 1149, 1188, 18266, 49428, 198, 791, 6680, 18266, 3782, 449, 3958, 58689, 369, 1690, 86569, 13, 578, 14154, 763, 936, 1274, 320, 276, 14154, 32447, 5918, 555, 279, 50873, 485, 5493, 304, 279, 4987, 3778, 5654, 8, 33398, 279, 1933, 2579, 439, 264, 27840, 19253, 52835, 88289, 287, 279, 18266, 323, 1243, 13353, 1139, 264, 93101, 63550, 87135, 315, 279, 9578, 627, 791, 4953, 300, 1053, 46789, 11, 42945, 872, 2395, 1590, 11, 323, 54842, 520, 872, 12875, 11, 16026, 311, 1304, 3403, 12248, 311, 2567, 279, 27840, 19253, 1022, 279, 5015, 627, 791, 57811, 56528, 574, 6646, 264, 1879, 315, 3440, 389, 279, 11734, 304, 14154, 36684, 89490, 309, 689, 11, 902, 374, 11340, 11, 12911, 323, 17442, 1990, 279, 350, 5346, 285, 323, 469, 455, 4171, 988, 36617, 627, 18433, 315, 872, 5845, 311, 7168, 279, 2457, 315, 279, 56528, 449, 2294, 13708, 11, 279, 1274, 315, 36684, 89490, 309, 689, 10487, 264, 905, 11734, 2391, 279, 8250, 315, 279, 56528, 11, 323, 1243, 279, 4113, 11734, 6052, 311, 813, 44721, 1306, 433, 9670, 627, 2170, 369, 36142, 36017, 11, 279, 56528, 574, 33398, 439, 279, 1121, 315, 44451, 16558, 279, 658, 953, 404, 315, 4998, 76052, 323, 91747, 279, 2010, 315, 279, 18266, 11, 902, 9731, 311, 67106, 369, 279, 8250, 315, 279, 36277, 18266, 627, 4054, 315, 279, 1455, 11495, 51286, 374, 279, 13314, 315, 279, 16488, 309, 278, 86250, 1274, 304, 350, 24404, 323, 7505, 258, 304, 10384, 11, 889, 1518, 279, 57811, 56528, 439, 264, 4208, 1990, 279, 7160, 323, 279, 18266, 430, 43496, 279, 14154, 665, 76, 488, 1990, 1124, 627, 2170, 369, 15558, 7829, 11, 279, 57811, 56528, 374, 11497, 2085, 94705, 684, 11, 439, 2225, 279, 7160, 323, 279, 18266, 4097, 459, 21070, 315, 4359, 753, 2410, 13, 315, 21058, 927, 5414, 20566, 627, 644, 9052, 7829, 11, 279, 36277, 18266, 374, 5938, 449, 1148, 814, 4510, 574, 279, 15131, 97422, 290, 315, 3771, 323, 374, 264, 1620, 1879, 315, 279, 1917, 627, 791, 18266, 304, 279, 9302, 19071, 198, 791, 1176, 4096, 315, 279, 18266, 574, 1766, 304, 7665, 1989, 304, 10057, 11, 433, 374, 264, 220, 6843, 15, 4771, 6418, 40907, 13668, 3967, 439, 279, 1054, 45, 51313, 15064, 9520, 37109, 449, 6761, 11, 28029, 323, 46858, 1189, 21483, 11, 323, 574, 4762, 1511, 304, 24654, 87283, 627, 791, 18266, 574, 1511, 304, 279, 9302, 19071, 311, 4097, 1690, 2204, 2574, 11, 1778, 439, 25, 57311, 11, 9734, 3427, 11, 323, 279, 8954, 10026, 13, 53204, 3629, 7111, 520, 279, 18266, 304, 2778, 315, 1202, 11204, 304, 279, 55383, 19071, 13, 3771, 4184, 311, 32186, 627, 52665, 7210, 10255, 99257, 3394, 29988, 77080, 7633, 304, 220, 3753, 15, 264, 7276, 57811, 56528, 389, 459, 4384, 6307, 2115, 304, 832, 315, 813, 36692, 13, 10541, 279, 19354, 374, 12401, 311, 59851, 323, 1587, 539, 6782, 1790, 7872, 11, 279, 54434, 8146, 12146, 555, 279, 10255, 7838, 279, 31687, 8430, 315, 279, 18266, 13, 37223, 627, 644, 279, 19354, 1054, 11874, 11258, 53389, 315, 279, 17781, 863, 555, 6063, 10255, 11301, 1768, 6941, 80474, 304, 220, 10828, 15, 11, 1403, 3026, 5101, 304, 264, 6453, 13952, 439, 422, 814, 1051, 22128, 9298, 279, 18266, 323, 7556, 922, 433, 13, 578, 1403, 3026, 2559, 304, 264, 22520, 6237, 449, 872, 28678, 311, 279, 26792, 11, 7231, 279, 21455, 430, 1070, 374, 2555, 8340, 430, 814, 527, 4560, 311, 11322, 477, 1440, 627, 644, 279, 2132, 4376, 315, 279, 62520, 9478, 11, 279, 38940, 315, 56528, 13820, 1051, 2753, 3062, 369, 12624, 18841, 323, 810, 369, 279, 23692, 315, 279, 1567, 13, 1789, 264, 55801, 1567, 315, 420, 12939, 323, 15234, 11, 279, 10255, 753, 8071, 5084, 311, 387, 264, 5507, 315, 3062, 13, 13118, 11, 1606, 433, 374, 2103, 264, 23347, 44518, 25885, 430, 279, 10255, 41255, 304, 5370, 7739, 304, 813, 36692, 627, 644, 279, 9478, 13, 323, 420, 1912, 315, 5448, 8625, 311, 420, 1938, 279, 18585, 311, 279, 18266, 11, 779, 433, 374, 7170, 22568, 449, 1579, 64036, 25232, 627, 20397, 682, 279, 4375, 9932, 11, 35407, 5355, 480, 65036, 753, 1054, 626, 11687, 13120, 863, 374, 279, 1455, 11495, 19354, 323, 832, 315, 279, 1455, 10456, 323, 1664, 22015, 36692, 304, 6617, 19001, 1989, 13, 13000, 480, 65036, 24937, 433, 449, 40545, 349, 62726, 323, 3831, 11, 10107, 8146, 11, 3582, 568, 24937, 433, 505, 279, 3321, 315, 279, 14539, 11151, 978, 2465, 6953, 58186, 85, 768, 8528, 66844, 304, 18561, 9822, 1418, 27723, 1461, 369, 18710, 323, 65919, 19823, 13, 128001, -100, 791, 9341, 26737, 311, 3839, 279, 9341, 3135, 315, 279, 386, 71679, 7427, 28206, 469, 7939, 14275, 291, 8167, 320, 1820, 29386, 8154, 6852, 1963, 31282, 570, 578, 16940, 1963, 374, 264, 1949, 2273, 60684, 291, 3157, 6864, 2065, 12923, 291, 1963, 6319, 311, 8881, 279, 25452, 5178, 315, 3544, 12, 323, 5209, 98231, 2065, 549, 815, 13, 5220, 449, 37849, 12434, 11, 3674, 323, 35186, 320, 31282, 1600, 38, 31282, 8, 18594, 1418, 19486, 16781, 15670, 11, 2737, 18054, 31376, 10633, 14675, 13, 578, 3887, 8965, 690, 2793, 520, 3325, 220, 1954, 4, 315, 1202, 12032, 304, 279, 3777, 34919, 315, 279, 16940, 1963, 13, 1102, 374, 2536, 33885, 388, 1908, 13, 128001, -100, 5028, 277, 3520, 323, 47051, 71, 527, 3967, 6957, 14990, 439, 279, 1403, 1455, 6366, 33889, 389, 279, 13218, 13, 7357, 1938, 264, 5951, 11141, 505, 1057, 5274, 304, 20467, 6825, 13, 5810, 520, 28982, 3751, 19111, 11, 584, 527, 1633, 12691, 311, 617, 279, 1888, 6187, 57149, 315, 279, 4459, 3158, 315, 73463, 34, 672, 323, 279, 3363, 13, 1226, 1212, 304, 279, 3363, 315, 53036, 520, 220, 717, 25, 966, 627, 5451, 584, 733, 311, 2563, 277, 3520, 27987, 11, 3967, 439, 279, 2816, 315, 2563, 277, 3520, 14637, 323, 279, 2563, 277, 3520, 47400, 268, 34202, 13, 578, 33684, 574, 18538, 555, 279, 45040, 3070, 304, 220, 8929, 21, 323, 574, 264, 16399, 2816, 304, 25981, 2403, 1023, 18088, 8689, 323, 7362, 8603, 13, 11450, 433, 17482, 439, 279, 1455, 11495, 33684, 304, 14990, 323, 1060, 1306, 1060, 4131, 11990, 315, 15613, 311, 21735, 279, 11495, 2563, 277, 3520, 9998, 13, 3161, 1057, 6187, 14986, 279, 20396, 311, 279, 33684, 11, 902, 374, 6118, 13281, 220, 717, 11, 374, 5343, 304, 279, 3430, 315, 279, 7364, 13, 4740, 279, 33684, 11, 584, 733, 311, 279, 13863, 315, 2563, 277, 3520, 11, 902, 706, 810, 1109, 220, 3965, 36680, 315, 19837, 323, 422, 433, 374, 40798, 279, 1938, 315, 279, 7364, 374, 832, 315, 279, 1455, 6366, 19795, 304, 53036, 13, 5112, 584, 1047, 16163, 304, 279, 6424, 315, 2563, 277, 3520, 11, 304, 279, 2563, 277, 3520, 28357, 33389, 34202, 10960, 13, 1226, 7079, 279, 18088, 61443, 11, 279, 8776, 3691, 315, 279, 5654, 627, 1688, 47051, 71, 11, 584, 10717, 1176, 520, 279, 89862, 21460, 4219, 13, 47051, 71, 574, 279, 1176, 6134, 315, 5569, 315, 279, 89862, 11, 1603, 433, 65330, 304, 220, 7529, 17, 11, 449, 279, 4648, 315, 220, 16, 11, 2636, 22961, 13, 10180, 220, 3965, 22961, 45519, 279, 89862, 304, 47051, 71, 323, 1070, 374, 264, 24925, 12514, 311, 1124, 323, 682, 279, 1023, 12697, 520, 279, 89862, 34243, 5955, 13, 763, 5369, 1070, 374, 264, 43738, 315, 279, 3830, 5274, 315, 279, 5929, 7834, 7228, 13, 47051, 71, 374, 539, 1193, 11495, 369, 279, 89862, 11, 433, 374, 1101, 459, 3158, 315, 73463, 53980, 13444, 430, 1587, 539, 3073, 304, 1690, 1023, 7634, 304, 279, 1917, 13, 4800, 433, 17482, 439, 264, 1633, 3062, 46398, 2385, 369, 279, 18088, 19574, 323, 422, 499, 733, 304, 279, 7474, 11, 433, 374, 1633, 4461, 430, 499, 690, 1518, 6908, 32731, 520, 279, 18618, 11, 682, 505, 2204, 33472, 315, 279, 1917, 627, 7927, 8641, 690, 387, 459, 6335, 389, 682, 13970, 323, 13042, 4819, 430, 5101, 389, 279, 2563, 277, 3520, 323, 47051, 71, 6187, 14986, 13, 763, 5369, 11, 1057, 12050, 527, 1633, 11919, 323, 2744, 5644, 311, 1520, 499, 13, 1442, 499, 1390, 810, 2038, 11, 1935, 264, 1427, 520, 1057, 2199, 13, 2684, 1057, 2128, 649, 4320, 904, 3488, 499, 617, 922, 1057, 6187, 57149, 11, 477, 922, 4689, 7640, 304, 53036, 627, 128001, -100, 32052, 527, 10371, 369, 6603, 311, 1373, 4999, 5159, 5403, 538, 706, 21536, 304, 3021, 449, 279, 22022, 9636, 93037, 4101, 555, 5460, 37451, 798, 13, 1226, 617, 1373, 2380, 315, 813, 6603, 304, 279, 4101, 323, 279, 2911, 649, 956, 636, 3403, 0, 34067, 814, 527, 539, 42702, 922, 872, 5403, 892, 719, 369, 279, 3347, 2305, 682, 315, 279, 4236, 617, 1027, 24450, 311, 6865, 323, 1373, 810, 922, 279, 1403, 289, 81057, 5885, 304, 279, 4101, 13, 19173, 279, 2380, 11236, 358, 617, 315, 279, 2363, 527, 259, 22688, 323, 2362, 13, 358, 617, 264, 1879, 704, 11071, 779, 430, 1855, 5575, 5334, 459, 6776, 311, 1373, 279, 3446, 389, 872, 1866, 13, 358, 617, 27600, 369, 279, 1023, 11236, 6957, 279, 2978, 719, 1070, 527, 539, 3403, 11236, 311, 733, 2212, 13, 1442, 584, 1436, 636, 3116, 11236, 315, 1855, 2363, 304, 279, 4101, 279, 4236, 1053, 387, 3025, 311, 617, 2678, 1912, 7754, 323, 2363, 13739, 13, 1115, 4526, 690, 8854, 1690, 4236, 369, 1690, 1667, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173 ]
[ 128000, 32, 3930, 55836, 278, 20438, 7829, 374, 264, 27692, 7151, 311, 1817, 264, 6710, 315, 20438, 505, 279, 1176, 961, 315, 279, 2678, 92234, 320, 1072, 347, 9195, 570, 578, 1296, 374, 311, 1427, 369, 44304, 430, 5353, 19405, 627, 4438, 279, 3475, 374, 3700, 10365, 198, 32, 6710, 315, 20438, 505, 279, 1176, 961, 315, 279, 2678, 92234, 374, 4529, 2391, 459, 8582, 842, 437, 8728, 320, 288, 5237, 55180, 561, 4653, 55836, 437, 8728, 4390, 791, 6205, 374, 1243, 3288, 311, 264, 10278, 13, 2684, 433, 374, 9277, 304, 264, 3361, 12269, 320, 70905, 3772, 8, 430, 6276, 24032, 477, 42068, 311, 3139, 13, 578, 6205, 374, 7111, 520, 1234, 264, 73757, 15870, 311, 1518, 422, 904, 44304, 527, 7982, 627, 24105, 13978, 430, 3139, 389, 279, 7829, 527, 11054, 627, 4438, 311, 32266, 369, 279, 3475, 198, 2028, 374, 264, 1296, 2884, 304, 264, 10278, 13, 578, 6205, 374, 14890, 2391, 459, 8582, 842, 437, 8728, 323, 99647, 10537, 320, 288, 5237, 55180, 561, 4653, 55836, 437, 8728, 570, 21069, 701, 2890, 2512, 9287, 1268, 311, 10772, 369, 420, 10537, 627, 10445, 279, 3475, 374, 3700, 10365, 198, 32, 7829, 315, 3930, 55836, 278, 20438, 374, 2884, 311, 1817, 369, 24032, 477, 42068, 430, 1253, 3063, 311, 3738, 49909, 323, 4787, 627, 2822, 28856, 24032, 477, 42068, 527, 1766, 627, 3923, 3765, 8416, 18591, 16729, 198, 2127, 35663, 9455, 3445, 430, 28856, 24032, 477, 264, 17188, 706, 1027, 1766, 304, 279, 20438, 6205, 13, 426, 78852, 1253, 2997, 512, 12, 16183, 292, 677, 2540, 35385, 13915, 320, 39, 35385, 13915, 340, 11663, 7177, 527, 1633, 3629, 2884, 311, 1427, 369, 19405, 51877, 985, 44304, 304, 3930, 55836, 278, 20438, 13, 4314, 7177, 2997, 279, 53560, 521, 1296, 320, 2000, 3187, 11, 279, 356, 1623, 1296, 8, 323, 13034, 2508, 320, 20986, 520, 279, 20438, 1234, 264, 73757, 4390, 74118, 7829, 369, 473, 35385, 13915, 374, 539, 5131, 11349, 627, 43174, 55836, 278, 20438, 7829, 198, 37, 1018, 82, 1557, 5091, 11, 393, 56013, 28718, 13, 13235, 33403, 275, 2508, 13, 763, 25, 4584, 3438, 1293, 29556, 11, 393, 2910, 355, 29433, 11, 98199, 13, 18063, 596, 33135, 95452, 323, 9744, 555, 32184, 19331, 13, 220, 1419, 6634, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 22, 25, 93419, 220, 5495, 627, 43, 2933, 24584, 480, 56, 11, 386, 3394, 16222, 268, 32778, 386, 11, 735, 13584, 258, 48596, 13, 763, 25384, 315, 279, 80311, 42929, 13, 763, 25, 735, 13584, 258, 48596, 11, 1608, 13, 51088, 8092, 2508, 315, 88911, 1245, 31974, 13, 220, 17, 303, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 23, 25, 93419, 220, 605, 627, 26353, 2232, 3864, 66269, 13, 54184, 311, 279, 8893, 449, 80311, 8624, 13, 763, 25, 48428, 445, 11, 92818, 809, 15592, 11, 98199, 13, 48428, 7813, 762, 321, 19152, 13, 220, 1627, 339, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 2366, 15, 25, 93419, 220, 4513, 627, 50, 1810, 24672, 72, 42416, 11, 8375, 17378, 62045, 11, 29070, 31603, 39354, 11, 426, 785, 68, 53603, 13, 32184, 23842, 315, 80311, 323, 98144, 24673, 763, 25, 4584, 3438, 1293, 29556, 11, 393, 2910, 355, 29433, 11, 98199, 13, 18063, 596, 33135, 95452, 323, 9744, 555, 32184, 19331, 13, 220, 1419, 6634, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 22, 25, 93419, 220, 1313, 627, 19997, 2696, 220, 19, 14, 22, 14, 2366, 15, 198, 16593, 555, 25, 8096, 386, 13, 37514, 11, 14306, 11, 33135, 17054, 315, 19152, 11, 578, 10058, 6652, 3907, 6150, 315, 19152, 11, 6652, 11, 11162, 13, 7429, 22690, 555, 6941, 1901, 19704, 11, 14306, 11, 386, 17455, 11, 13235, 10783, 11, 90134, 1221, 14075, 11, 66233, 10783, 11, 323, 279, 362, 920, 885, 1345, 13, 66233, 2128, 13, 128001, 128000, 1090, 2906, 668, 42743, 11997, 31974, 320, 3166, 4195, 8, 374, 264, 4279, 50112, 3044, 430, 22223, 1690, 12875, 11, 8104, 1884, 449, 3738, 58245, 323, 19465, 80632, 28536, 13, 1115, 5367, 75989, 19823, 649, 5353, 38883, 6784, 323, 44776, 369, 1057, 28530, 75519, 4885, 13, 763, 420, 4652, 11, 584, 690, 82845, 1139, 279, 11384, 11, 13803, 11, 323, 6514, 2671, 369, 17244, 4195, 304, 12875, 1174, 80417, 3177, 389, 420, 3044, 311, 1520, 6896, 7980, 2731, 3619, 323, 2512, 369, 872, 76082, 41957, 627, 71251, 17244, 4195, 304, 39525, 512, 3166, 4195, 11, 2875, 369, 1357, 2906, 668, 42743, 11997, 31974, 11, 374, 264, 3044, 430, 22223, 279, 958, 65932, 42743, 57795, 7559, 1990, 279, 5309, 51313, 68, 315, 279, 35776, 13, 4314, 57795, 8854, 439, 68241, 11, 70275, 10988, 323, 8405, 25152, 323, 1862, 311, 279, 50112, 3330, 13, 4452, 11, 304, 12875, 449, 17244, 4195, 11, 1521, 57795, 649, 5367, 13523, 477, 3719, 72909, 10234, 11, 6522, 311, 26168, 315, 279, 50112, 23125, 477, 32015, 20282, 627, 23389, 4881, 323, 32388, 68318, 512, 3166, 4195, 649, 387, 9057, 555, 264, 10824, 315, 19465, 323, 12434, 9547, 13, 35211, 5679, 58245, 11, 1778, 439, 423, 613, 939, 44050, 11, 1443, 7141, 350, 89, 355, 11, 2893, 351, 645, 11, 323, 356, 1813, 285, 11, 527, 810, 38097, 311, 11469, 17244, 4195, 4245, 311, 872, 5016, 50112, 14726, 13, 7089, 9547, 430, 649, 17210, 311, 279, 4500, 315, 17244, 4195, 2997, 33048, 11, 41086, 26677, 11, 27639, 7106, 5820, 11, 323, 30988, 627, 29012, 52273, 315, 17244, 4195, 512, 791, 13803, 315, 17244, 4195, 649, 13592, 11911, 389, 279, 31020, 323, 3813, 315, 279, 11754, 57795, 13, 7874, 12195, 2997, 1203, 6784, 11, 84050, 311, 3351, 477, 7940, 11, 17250, 11689, 477, 11509, 11, 4814, 315, 38793, 11, 16124, 23948, 11, 323, 1524, 86139, 13, 1102, 374, 7718, 311, 15641, 1521, 13803, 4216, 389, 323, 6056, 69340, 6666, 40522, 311, 6106, 279, 1888, 3284, 15632, 369, 701, 75519, 4333, 627, 4599, 433, 4131, 311, 27723, 17244, 4195, 304, 12875, 11, 1070, 527, 5370, 2671, 2561, 11911, 389, 279, 31020, 315, 279, 3044, 13, 1789, 23900, 5157, 11, 15692, 6373, 1253, 387, 11349, 11, 902, 18065, 7452, 2800, 11, 6784, 24099, 11, 7294, 67595, 11217, 11, 323, 7106, 15419, 13, 763, 810, 15748, 5157, 11, 15173, 1253, 387, 5995, 311, 61705, 279, 26168, 389, 279, 50112, 23125, 323, 13023, 477, 4148, 279, 11754, 2624, 627, 4808, 7611, 323, 10852, 512, 8142, 17244, 4195, 4250, 2744, 387, 32098, 11, 1070, 527, 7504, 499, 649, 1935, 311, 30437, 279, 5326, 323, 3493, 279, 1888, 2512, 369, 701, 5679, 13, 43987, 2101, 264, 9498, 4785, 1555, 264, 24770, 10173, 323, 5912, 10368, 374, 16996, 11, 5423, 369, 58245, 38097, 311, 17244, 4195, 13, 35106, 287, 7640, 430, 2231, 27639, 26800, 389, 279, 35776, 11, 1778, 439, 30102, 505, 1579, 27529, 11, 649, 1101, 1520, 5471, 11134, 627, 1090, 2906, 668, 42743, 11997, 31974, 320, 3166, 4195, 8, 374, 264, 17436, 3044, 430, 22223, 1690, 12875, 11, 14718, 6784, 323, 13893, 6522, 311, 86139, 422, 2163, 83920, 13, 67975, 4954, 279, 13803, 323, 11125, 69340, 2512, 40522, 374, 16996, 369, 279, 1664, 33851, 315, 1057, 3116, 95364, 41957, 13, 3296, 8830, 279, 11384, 11, 13803, 11, 323, 6514, 2671, 369, 17244, 4195, 11, 584, 649, 3493, 279, 1888, 3284, 2512, 323, 7417, 279, 4367, 315, 2324, 369, 12875, 11754, 555, 420, 3044, 13, 20474, 311, 8666, 449, 701, 82340, 369, 35649, 9650, 323, 19351, 311, 6106, 279, 23669, 2890, 323, 23871, 315, 701, 28530, 75519, 4333, 13, 128001 ]
[ -100, 32, 3930, 55836, 278, 20438, 7829, 374, 264, 27692, 7151, 311, 1817, 264, 6710, 315, 20438, 505, 279, 1176, 961, 315, 279, 2678, 92234, 320, 1072, 347, 9195, 570, 578, 1296, 374, 311, 1427, 369, 44304, 430, 5353, 19405, 627, 4438, 279, 3475, 374, 3700, 10365, 198, 32, 6710, 315, 20438, 505, 279, 1176, 961, 315, 279, 2678, 92234, 374, 4529, 2391, 459, 8582, 842, 437, 8728, 320, 288, 5237, 55180, 561, 4653, 55836, 437, 8728, 4390, 791, 6205, 374, 1243, 3288, 311, 264, 10278, 13, 2684, 433, 374, 9277, 304, 264, 3361, 12269, 320, 70905, 3772, 8, 430, 6276, 24032, 477, 42068, 311, 3139, 13, 578, 6205, 374, 7111, 520, 1234, 264, 73757, 15870, 311, 1518, 422, 904, 44304, 527, 7982, 627, 24105, 13978, 430, 3139, 389, 279, 7829, 527, 11054, 627, 4438, 311, 32266, 369, 279, 3475, 198, 2028, 374, 264, 1296, 2884, 304, 264, 10278, 13, 578, 6205, 374, 14890, 2391, 459, 8582, 842, 437, 8728, 323, 99647, 10537, 320, 288, 5237, 55180, 561, 4653, 55836, 437, 8728, 570, 21069, 701, 2890, 2512, 9287, 1268, 311, 10772, 369, 420, 10537, 627, 10445, 279, 3475, 374, 3700, 10365, 198, 32, 7829, 315, 3930, 55836, 278, 20438, 374, 2884, 311, 1817, 369, 24032, 477, 42068, 430, 1253, 3063, 311, 3738, 49909, 323, 4787, 627, 2822, 28856, 24032, 477, 42068, 527, 1766, 627, 3923, 3765, 8416, 18591, 16729, 198, 2127, 35663, 9455, 3445, 430, 28856, 24032, 477, 264, 17188, 706, 1027, 1766, 304, 279, 20438, 6205, 13, 426, 78852, 1253, 2997, 512, 12, 16183, 292, 677, 2540, 35385, 13915, 320, 39, 35385, 13915, 340, 11663, 7177, 527, 1633, 3629, 2884, 311, 1427, 369, 19405, 51877, 985, 44304, 304, 3930, 55836, 278, 20438, 13, 4314, 7177, 2997, 279, 53560, 521, 1296, 320, 2000, 3187, 11, 279, 356, 1623, 1296, 8, 323, 13034, 2508, 320, 20986, 520, 279, 20438, 1234, 264, 73757, 4390, 74118, 7829, 369, 473, 35385, 13915, 374, 539, 5131, 11349, 627, 43174, 55836, 278, 20438, 7829, 198, 37, 1018, 82, 1557, 5091, 11, 393, 56013, 28718, 13, 13235, 33403, 275, 2508, 13, 763, 25, 4584, 3438, 1293, 29556, 11, 393, 2910, 355, 29433, 11, 98199, 13, 18063, 596, 33135, 95452, 323, 9744, 555, 32184, 19331, 13, 220, 1419, 6634, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 22, 25, 93419, 220, 5495, 627, 43, 2933, 24584, 480, 56, 11, 386, 3394, 16222, 268, 32778, 386, 11, 735, 13584, 258, 48596, 13, 763, 25384, 315, 279, 80311, 42929, 13, 763, 25, 735, 13584, 258, 48596, 11, 1608, 13, 51088, 8092, 2508, 315, 88911, 1245, 31974, 13, 220, 17, 303, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 23, 25, 93419, 220, 605, 627, 26353, 2232, 3864, 66269, 13, 54184, 311, 279, 8893, 449, 80311, 8624, 13, 763, 25, 48428, 445, 11, 92818, 809, 15592, 11, 98199, 13, 48428, 7813, 762, 321, 19152, 13, 220, 1627, 339, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 2366, 15, 25, 93419, 220, 4513, 627, 50, 1810, 24672, 72, 42416, 11, 8375, 17378, 62045, 11, 29070, 31603, 39354, 11, 426, 785, 68, 53603, 13, 32184, 23842, 315, 80311, 323, 98144, 24673, 763, 25, 4584, 3438, 1293, 29556, 11, 393, 2910, 355, 29433, 11, 98199, 13, 18063, 596, 33135, 95452, 323, 9744, 555, 32184, 19331, 13, 220, 1419, 6634, 1608, 13, 19895, 11, 13174, 25, 19334, 47816, 26, 220, 679, 22, 25, 93419, 220, 1313, 627, 19997, 2696, 220, 19, 14, 22, 14, 2366, 15, 198, 16593, 555, 25, 8096, 386, 13, 37514, 11, 14306, 11, 33135, 17054, 315, 19152, 11, 578, 10058, 6652, 3907, 6150, 315, 19152, 11, 6652, 11, 11162, 13, 7429, 22690, 555, 6941, 1901, 19704, 11, 14306, 11, 386, 17455, 11, 13235, 10783, 11, 90134, 1221, 14075, 11, 66233, 10783, 11, 323, 279, 362, 920, 885, 1345, 13, 66233, 2128, 13, 128001, -100, 1090, 2906, 668, 42743, 11997, 31974, 320, 3166, 4195, 8, 374, 264, 4279, 50112, 3044, 430, 22223, 1690, 12875, 11, 8104, 1884, 449, 3738, 58245, 323, 19465, 80632, 28536, 13, 1115, 5367, 75989, 19823, 649, 5353, 38883, 6784, 323, 44776, 369, 1057, 28530, 75519, 4885, 13, 763, 420, 4652, 11, 584, 690, 82845, 1139, 279, 11384, 11, 13803, 11, 323, 6514, 2671, 369, 17244, 4195, 304, 12875, 1174, 80417, 3177, 389, 420, 3044, 311, 1520, 6896, 7980, 2731, 3619, 323, 2512, 369, 872, 76082, 41957, 627, 71251, 17244, 4195, 304, 39525, 512, 3166, 4195, 11, 2875, 369, 1357, 2906, 668, 42743, 11997, 31974, 11, 374, 264, 3044, 430, 22223, 279, 958, 65932, 42743, 57795, 7559, 1990, 279, 5309, 51313, 68, 315, 279, 35776, 13, 4314, 57795, 8854, 439, 68241, 11, 70275, 10988, 323, 8405, 25152, 323, 1862, 311, 279, 50112, 3330, 13, 4452, 11, 304, 12875, 449, 17244, 4195, 11, 1521, 57795, 649, 5367, 13523, 477, 3719, 72909, 10234, 11, 6522, 311, 26168, 315, 279, 50112, 23125, 477, 32015, 20282, 627, 23389, 4881, 323, 32388, 68318, 512, 3166, 4195, 649, 387, 9057, 555, 264, 10824, 315, 19465, 323, 12434, 9547, 13, 35211, 5679, 58245, 11, 1778, 439, 423, 613, 939, 44050, 11, 1443, 7141, 350, 89, 355, 11, 2893, 351, 645, 11, 323, 356, 1813, 285, 11, 527, 810, 38097, 311, 11469, 17244, 4195, 4245, 311, 872, 5016, 50112, 14726, 13, 7089, 9547, 430, 649, 17210, 311, 279, 4500, 315, 17244, 4195, 2997, 33048, 11, 41086, 26677, 11, 27639, 7106, 5820, 11, 323, 30988, 627, 29012, 52273, 315, 17244, 4195, 512, 791, 13803, 315, 17244, 4195, 649, 13592, 11911, 389, 279, 31020, 323, 3813, 315, 279, 11754, 57795, 13, 7874, 12195, 2997, 1203, 6784, 11, 84050, 311, 3351, 477, 7940, 11, 17250, 11689, 477, 11509, 11, 4814, 315, 38793, 11, 16124, 23948, 11, 323, 1524, 86139, 13, 1102, 374, 7718, 311, 15641, 1521, 13803, 4216, 389, 323, 6056, 69340, 6666, 40522, 311, 6106, 279, 1888, 3284, 15632, 369, 701, 75519, 4333, 627, 4599, 433, 4131, 311, 27723, 17244, 4195, 304, 12875, 11, 1070, 527, 5370, 2671, 2561, 11911, 389, 279, 31020, 315, 279, 3044, 13, 1789, 23900, 5157, 11, 15692, 6373, 1253, 387, 11349, 11, 902, 18065, 7452, 2800, 11, 6784, 24099, 11, 7294, 67595, 11217, 11, 323, 7106, 15419, 13, 763, 810, 15748, 5157, 11, 15173, 1253, 387, 5995, 311, 61705, 279, 26168, 389, 279, 50112, 23125, 323, 13023, 477, 4148, 279, 11754, 2624, 627, 4808, 7611, 323, 10852, 512, 8142, 17244, 4195, 4250, 2744, 387, 32098, 11, 1070, 527, 7504, 499, 649, 1935, 311, 30437, 279, 5326, 323, 3493, 279, 1888, 2512, 369, 701, 5679, 13, 43987, 2101, 264, 9498, 4785, 1555, 264, 24770, 10173, 323, 5912, 10368, 374, 16996, 11, 5423, 369, 58245, 38097, 311, 17244, 4195, 13, 35106, 287, 7640, 430, 2231, 27639, 26800, 389, 279, 35776, 11, 1778, 439, 30102, 505, 1579, 27529, 11, 649, 1101, 1520, 5471, 11134, 627, 1090, 2906, 668, 42743, 11997, 31974, 320, 3166, 4195, 8, 374, 264, 17436, 3044, 430, 22223, 1690, 12875, 11, 14718, 6784, 323, 13893, 6522, 311, 86139, 422, 2163, 83920, 13, 67975, 4954, 279, 13803, 323, 11125, 69340, 2512, 40522, 374, 16996, 369, 279, 1664, 33851, 315, 1057, 3116, 95364, 41957, 13, 3296, 8830, 279, 11384, 11, 13803, 11, 323, 6514, 2671, 369, 17244, 4195, 11, 584, 649, 3493, 279, 1888, 3284, 2512, 323, 7417, 279, 4367, 315, 2324, 369, 12875, 11754, 555, 420, 3044, 13, 20474, 311, 8666, 449, 701, 82340, 369, 35649, 9650, 323, 19351, 311, 6106, 279, 23669, 2890, 323, 23871, 315, 701, 28530, 75519, 4333, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595 ]
[ 128000, 18902, 8425, 261, 95079, 8620, 4673, 4988, 53727, 13287, 482, 42009, 936, 220, 7028, 15, 198, 18902, 5858, 25, 8442, 3861, 16528, 13, 362, 1709, 438, 3524, 374, 264, 955, 315, 8620, 26078, 10500, 430, 374, 1511, 304, 1063, 7739, 315, 8620, 37959, 19071, 13, 763, 8620, 11, 433, 374, 10489, 2663, 264, 379, 3852, 3340, 3524, 320, 34115, 26, 13318, 13, 330, 265, 566, 5859, 18266, 25879, 4063, 279, 836, 1234, 902, 433, 2744, 8111, 304, 22755, 505, 279, 19508, 311, 63012, 32170, 561, 552, 1778, 439, 279, 468, 9832, 287, 1901, 647, 88, 3524, 323, 59509, 331, 3524, 14851, 41287, 350, 38174, 13, 1102, 374, 30139, 311, 264, 7665, 2267, 1412, 569, 477, 2840, 64, 535, 323, 17610, 315, 264, 8987, 25879, 449, 264, 37393, 520, 279, 1203, 323, 7170, 1101, 264, 51554, 520, 279, 37393, 596, 8582, 2385, 430, 649, 2339, 459, 15046, 596, 10500, 13, 763, 5369, 1070, 527, 3629, 42408, 63034, 811, 430, 3063, 279, 1203, 6964, 315, 279, 25879, 311, 279, 37393, 13, 578, 25879, 374, 22563, 47088, 264, 220, 16, 13, 20, 296, 311, 220, 16, 13, 23, 296, 320, 3487, 4579, 8, 1317, 23162, 477, 9501, 26078, 449, 264, 14618, 9501, 5663, 4785, 1511, 311, 8335, 279, 8987, 25879, 323, 369, 21933, 389, 279, 14329, 842, 627, 791, 8425, 261, 95079, 11, 8425, 261, 549, 34754, 477, 816, 7141, 295, 10602, 29098, 574, 264, 16806, 7294, 12, 29543, 11, 7294, 20024, 263, 532, 11, 323, 7294, 89141, 70506, 430, 3952, 2035, 304, 5734, 1990, 220, 9378, 24, 323, 220, 7028, 16, 11, 7119, 279, 842, 315, 279, 63012, 67946, 13, 1102, 574, 33230, 555, 279, 68285, 689, 3723, 304, 10291, 34172, 2136, 320, 56, 7141, 295, 10602, 705, 3967, 304, 6498, 439, 279, 330, 1642, 388, 498, 323, 574, 27762, 555, 18940, 75629, 380, 58214, 323, 14076, 311, 11104, 37683, 2191, 323, 5938, 9052, 73998, 5820, 627, 791, 70506, 3952, 2035, 2403, 264, 4092, 315, 15748, 37846, 323, 279, 44219, 9057, 555, 279, 6650, 315, 7362, 66818, 315, 10383, 13, 4740, 3892, 4038, 315, 7982, 9349, 2403, 2225, 279, 7362, 323, 9052, 9546, 304, 1443, 438, 647, 323, 279, 4892, 5734, 14733, 304, 5651, 220, 7028, 15, 11, 8425, 261, 24080, 11, 22954, 814, 1051, 1558, 94007, 311, 7362, 10094, 11, 97875, 389, 27647, 449, 279, 52637, 330, 8075, 279, 63012, 3109, 323, 55367, 35116, 279, 48512, 1210, 19620, 388, 323, 8620, 22125, 16495, 14850, 304, 279, 7765, 367, 35494, 13, 763, 2077, 311, 6821, 315, 459, 17903, 30215, 311, 12157, 279, 52791, 11, 279, 15453, 71560, 13714, 676, 43532, 1435, 356, 953, 72, 7396, 279, 8425, 388, 323, 389, 5651, 220, 1691, 11136, 459, 31013, 3799, 770, 37631, 4208, 389, 279, 7362, 13736, 13, 46562, 316, 1900, 11, 7362, 29536, 323, 15201, 439, 1664, 439, 8620, 22125, 304, 279, 7765, 367, 35494, 1051, 9277, 1234, 52791, 555, 279, 31013, 13309, 315, 5734, 323, 279, 8425, 388, 369, 220, 2131, 2919, 627, 46023, 4033, 5717, 574, 6859, 1990, 1884, 12899, 279, 8425, 388, 323, 1884, 4799, 287, 3613, 29109, 11, 6197, 555, 19912, 63012, 13, 578, 44222, 29094, 315, 279, 8620, 8603, 11, 279, 2418, 66852, 3331, 432, 647, 10036, 320, 41, 2234, 10036, 705, 3010, 11922, 430, 568, 31532, 311, 6144, 279, 92728, 3640, 48512, 13, 578, 36944, 11500, 367, 23590, 11, 1306, 1694, 15453, 6656, 1203, 11, 7263, 220, 508, 11, 931, 17903, 17312, 311, 5734, 11, 24164, 279, 31013, 13309, 11, 323, 11721, 520, 393, 59952, 389, 6287, 220, 975, 11, 59644, 4504, 279, 52791, 315, 279, 7765, 811, 13, 1252, 59707, 88802, 315, 279, 6864, 323, 279, 14932, 47967, 96763, 11, 3235, 449, 279, 12399, 11572, 315, 1884, 24740, 315, 1694, 8425, 388, 627, 791, 8425, 261, 25590, 315, 220, 22, 6250, 220, 7028, 16, 3984, 369, 279, 11572, 315, 3109, 7510, 889, 1047, 7396, 279, 8425, 388, 11, 19705, 369, 7362, 17312, 311, 387, 63620, 304, 27647, 11, 323, 220, 10617, 3610, 9637, 2053, 315, 15310, 97836, 400, 605, 7239, 520, 220, 679, 22, 15310, 7729, 323, 810, 1109, 279, 3109, 596, 9974, 3827, 19443, 84, 11269, 387, 7318, 439, 90108, 488, 927, 279, 3388, 315, 279, 1828, 27219, 86703, 1667, 311, 279, 8223, 17089, 6532, 13, 578, 13714, 676, 43532, 1435, 1243, 30638, 264, 743, 315, 33232, 323, 20323, 4442, 304, 459, 4879, 311, 3665, 279, 74495, 555, 15180, 287, 433, 627, 1687, 6051, 19426, 264, 2678, 4526, 315, 8425, 261, 95079, 3673, 13, 1115, 374, 3187, 374, 264, 14595, 8425, 261, 95079, 11639, 53727, 13287, 3967, 439, 264, 46372, 4064, 19268, 13, 10541, 315, 4528, 2955, 912, 1403, 1051, 20086, 13, 1115, 3187, 11193, 220, 3080, 1, 304, 2673, 902, 5764, 279, 220, 1591, 25879, 13, 578, 7732, 31468, 11193, 220, 2137, 11, 3515, 1027, 66663, 11, 1455, 4461, 1603, 25032, 311, 279, 4410, 627, 5028, 1037, 374, 80810, 449, 5370, 14769, 29683, 315, 279, 1742, 1120, 1603, 323, 2391, 279, 220, 7028, 15, 95079, 13, 426, 6478, 1203, 311, 279, 6560, 555, 264, 8013, 27202, 323, 9076, 304, 1633, 1695, 3044, 627, 2028, 2027, 374, 2561, 369, 6625, 11862, 627, 6719, 343, 1260, 369, 682, 14507, 482, 44434, 11, 11060, 5057, 11, 34039, 11, 6912, 3337, 11, 69121, 11, 8339, 612, 9947, 2923, 128001, 128000, 15721, 26, 220, 2052, 24060, 279, 7980, 315, 1521, 5220, 311, 11626, 555, 15061, 279, 2383, 323, 4737, 9610, 315, 1274, 430, 649, 956, 2559, 709, 369, 5694, 374, 4276, 279, 1314, 3245, 311, 656, 382, 3112, 358, 2646, 6259, 430, 856, 4333, 13, 220, 358, 1097, 1120, 25394, 279, 50446, 315, 279, 6671, 13, 19124, 2675, 527, 69423, 430, 19054, 9511, 7729, 690, 636, 810, 9053, 13, 220, 24218, 379, 1494, 13, 15152, 4071, 1578, 482, 439, 358, 11224, 3485, 482, 912, 832, 5900, 1306, 279, 23234, 13, 220, 30070, 430, 4442, 11, 12079, 20550, 690, 3136, 311, 2586, 323, 1274, 690, 2103, 1935, 9610, 315, 1124, 13, 128001, 128000, 2677, 904, 3492, 304, 264, 7419, 477, 3187, 311, 1505, 279, 4441, 369, 430, 3492, 198, 791, 502, 2383, 690, 387, 5946, 555, 20302, 304, 279, 10683, 627, 35862, 9629, 7016, 1047, 1027, 11102, 627, 64, 2383, 2403, 8221, 53003, 198, 64, 502, 2383, 389, 6166, 15637, 198, 2181, 374, 2403, 279, 2383, 311, 6246, 389, 264, 2033, 14071, 1584, 627, 791, 2254, 11447, 374, 10235, 311, 66943, 1124, 369, 15061, 279, 2383, 627, 7469, 7510, 527, 64042, 1274, 311, 41701, 279, 2383, 323, 539, 4662, 52933, 311, 2911, 1234, 59139, 627, 8780, 4442, 527, 2631, 555, 2383, 311, 387, 304, 4477, 627, 7009, 43347, 311, 990, 2949, 279, 2383, 311, 4546, 922, 2349, 627, 63295, 279, 3109, 6463, 904, 4033, 374, 3485, 279, 2383, 627, 791, 4121, 1436, 3719, 2383, 439, 5246, 439, 1828, 1060, 627, 2181, 374, 279, 18919, 59082, 753, 2683, 311, 29262, 279, 2383, 11, 539, 279, 5929, 4783, 753, 627, 79039, 753, 1027, 3856, 3876, 2383, 369, 220, 508, 1667, 627, 21279, 315, 1124, 527, 21630, 2383, 520, 12374, 627, 2028, 374, 279, 8013, 6498, 7419, 315, 2383, 13, 2806, 3778, 6498, 7419, 315, 2383, 13, 128001, 128000, 5018, 17101, 3332, 27, 7687, 29, 2247, 44398, 3332, 16, 12339, 30570, 6387, 1479, 2247, 67, 418, 3332, 34042, 2142, 65473, 20975, 2247, 1354, 38096, 82, 794, 10562, 1359, 3518, 794, 5932, 1359, 85, 354, 1821, 794, 1041, 1359, 2067, 1149, 82, 794, 777, 1359, 77, 14630, 794, 23, 1359, 4683, 794, 5958, 1359, 417, 67682, 9110, 685, 3332, 84537, 2247, 17101, 3332, 44, 2727, 366, 7687, 29, 2247, 3415, 953, 794, 2790, 37928, 9110, 685, 3332, 20721, 2247, 17101, 3332, 44, 2727, 366, 7687, 29, 2247, 3415, 953, 794, 1544, 92, 14316, 128001, 128000, 10445, 5268, 51826, 12175, 369, 28975, 304, 279, 9624, 5380, 50, 1950, 649, 1520, 499, 13383, 279, 2539, 907, 315, 7528, 18475, 449, 264, 16195, 2134, 315, 33935, 430, 1629, 304, 279, 51826, 15161, 439, 1664, 439, 701, 1866, 879, 477, 586, 9624, 13, 1666, 279, 1917, 753, 7808, 304, 828, 323, 79136, 10105, 11, 51826, 6835, 499, 279, 2410, 323, 11542, 311, 92064, 11, 10299, 5326, 323, 387, 62565, 304, 279, 9624, 627, 128001 ]
[ -100, 18902, 8425, 261, 95079, 8620, 4673, 4988, 53727, 13287, 482, 42009, 936, 220, 7028, 15, 198, 18902, 5858, 25, 8442, 3861, 16528, 13, 362, 1709, 438, 3524, 374, 264, 955, 315, 8620, 26078, 10500, 430, 374, 1511, 304, 1063, 7739, 315, 8620, 37959, 19071, 13, 763, 8620, 11, 433, 374, 10489, 2663, 264, 379, 3852, 3340, 3524, 320, 34115, 26, 13318, 13, 330, 265, 566, 5859, 18266, 25879, 4063, 279, 836, 1234, 902, 433, 2744, 8111, 304, 22755, 505, 279, 19508, 311, 63012, 32170, 561, 552, 1778, 439, 279, 468, 9832, 287, 1901, 647, 88, 3524, 323, 59509, 331, 3524, 14851, 41287, 350, 38174, 13, 1102, 374, 30139, 311, 264, 7665, 2267, 1412, 569, 477, 2840, 64, 535, 323, 17610, 315, 264, 8987, 25879, 449, 264, 37393, 520, 279, 1203, 323, 7170, 1101, 264, 51554, 520, 279, 37393, 596, 8582, 2385, 430, 649, 2339, 459, 15046, 596, 10500, 13, 763, 5369, 1070, 527, 3629, 42408, 63034, 811, 430, 3063, 279, 1203, 6964, 315, 279, 25879, 311, 279, 37393, 13, 578, 25879, 374, 22563, 47088, 264, 220, 16, 13, 20, 296, 311, 220, 16, 13, 23, 296, 320, 3487, 4579, 8, 1317, 23162, 477, 9501, 26078, 449, 264, 14618, 9501, 5663, 4785, 1511, 311, 8335, 279, 8987, 25879, 323, 369, 21933, 389, 279, 14329, 842, 627, 791, 8425, 261, 95079, 11, 8425, 261, 549, 34754, 477, 816, 7141, 295, 10602, 29098, 574, 264, 16806, 7294, 12, 29543, 11, 7294, 20024, 263, 532, 11, 323, 7294, 89141, 70506, 430, 3952, 2035, 304, 5734, 1990, 220, 9378, 24, 323, 220, 7028, 16, 11, 7119, 279, 842, 315, 279, 63012, 67946, 13, 1102, 574, 33230, 555, 279, 68285, 689, 3723, 304, 10291, 34172, 2136, 320, 56, 7141, 295, 10602, 705, 3967, 304, 6498, 439, 279, 330, 1642, 388, 498, 323, 574, 27762, 555, 18940, 75629, 380, 58214, 323, 14076, 311, 11104, 37683, 2191, 323, 5938, 9052, 73998, 5820, 627, 791, 70506, 3952, 2035, 2403, 264, 4092, 315, 15748, 37846, 323, 279, 44219, 9057, 555, 279, 6650, 315, 7362, 66818, 315, 10383, 13, 4740, 3892, 4038, 315, 7982, 9349, 2403, 2225, 279, 7362, 323, 9052, 9546, 304, 1443, 438, 647, 323, 279, 4892, 5734, 14733, 304, 5651, 220, 7028, 15, 11, 8425, 261, 24080, 11, 22954, 814, 1051, 1558, 94007, 311, 7362, 10094, 11, 97875, 389, 27647, 449, 279, 52637, 330, 8075, 279, 63012, 3109, 323, 55367, 35116, 279, 48512, 1210, 19620, 388, 323, 8620, 22125, 16495, 14850, 304, 279, 7765, 367, 35494, 13, 763, 2077, 311, 6821, 315, 459, 17903, 30215, 311, 12157, 279, 52791, 11, 279, 15453, 71560, 13714, 676, 43532, 1435, 356, 953, 72, 7396, 279, 8425, 388, 323, 389, 5651, 220, 1691, 11136, 459, 31013, 3799, 770, 37631, 4208, 389, 279, 7362, 13736, 13, 46562, 316, 1900, 11, 7362, 29536, 323, 15201, 439, 1664, 439, 8620, 22125, 304, 279, 7765, 367, 35494, 1051, 9277, 1234, 52791, 555, 279, 31013, 13309, 315, 5734, 323, 279, 8425, 388, 369, 220, 2131, 2919, 627, 46023, 4033, 5717, 574, 6859, 1990, 1884, 12899, 279, 8425, 388, 323, 1884, 4799, 287, 3613, 29109, 11, 6197, 555, 19912, 63012, 13, 578, 44222, 29094, 315, 279, 8620, 8603, 11, 279, 2418, 66852, 3331, 432, 647, 10036, 320, 41, 2234, 10036, 705, 3010, 11922, 430, 568, 31532, 311, 6144, 279, 92728, 3640, 48512, 13, 578, 36944, 11500, 367, 23590, 11, 1306, 1694, 15453, 6656, 1203, 11, 7263, 220, 508, 11, 931, 17903, 17312, 311, 5734, 11, 24164, 279, 31013, 13309, 11, 323, 11721, 520, 393, 59952, 389, 6287, 220, 975, 11, 59644, 4504, 279, 52791, 315, 279, 7765, 811, 13, 1252, 59707, 88802, 315, 279, 6864, 323, 279, 14932, 47967, 96763, 11, 3235, 449, 279, 12399, 11572, 315, 1884, 24740, 315, 1694, 8425, 388, 627, 791, 8425, 261, 25590, 315, 220, 22, 6250, 220, 7028, 16, 3984, 369, 279, 11572, 315, 3109, 7510, 889, 1047, 7396, 279, 8425, 388, 11, 19705, 369, 7362, 17312, 311, 387, 63620, 304, 27647, 11, 323, 220, 10617, 3610, 9637, 2053, 315, 15310, 97836, 400, 605, 7239, 520, 220, 679, 22, 15310, 7729, 323, 810, 1109, 279, 3109, 596, 9974, 3827, 19443, 84, 11269, 387, 7318, 439, 90108, 488, 927, 279, 3388, 315, 279, 1828, 27219, 86703, 1667, 311, 279, 8223, 17089, 6532, 13, 578, 13714, 676, 43532, 1435, 1243, 30638, 264, 743, 315, 33232, 323, 20323, 4442, 304, 459, 4879, 311, 3665, 279, 74495, 555, 15180, 287, 433, 627, 1687, 6051, 19426, 264, 2678, 4526, 315, 8425, 261, 95079, 3673, 13, 1115, 374, 3187, 374, 264, 14595, 8425, 261, 95079, 11639, 53727, 13287, 3967, 439, 264, 46372, 4064, 19268, 13, 10541, 315, 4528, 2955, 912, 1403, 1051, 20086, 13, 1115, 3187, 11193, 220, 3080, 1, 304, 2673, 902, 5764, 279, 220, 1591, 25879, 13, 578, 7732, 31468, 11193, 220, 2137, 11, 3515, 1027, 66663, 11, 1455, 4461, 1603, 25032, 311, 279, 4410, 627, 5028, 1037, 374, 80810, 449, 5370, 14769, 29683, 315, 279, 1742, 1120, 1603, 323, 2391, 279, 220, 7028, 15, 95079, 13, 426, 6478, 1203, 311, 279, 6560, 555, 264, 8013, 27202, 323, 9076, 304, 1633, 1695, 3044, 627, 2028, 2027, 374, 2561, 369, 6625, 11862, 627, 6719, 343, 1260, 369, 682, 14507, 482, 44434, 11, 11060, 5057, 11, 34039, 11, 6912, 3337, 11, 69121, 11, 8339, 612, 9947, 2923, 128001, -100, 15721, 26, 220, 2052, 24060, 279, 7980, 315, 1521, 5220, 311, 11626, 555, 15061, 279, 2383, 323, 4737, 9610, 315, 1274, 430, 649, 956, 2559, 709, 369, 5694, 374, 4276, 279, 1314, 3245, 311, 656, 382, 3112, 358, 2646, 6259, 430, 856, 4333, 13, 220, 358, 1097, 1120, 25394, 279, 50446, 315, 279, 6671, 13, 19124, 2675, 527, 69423, 430, 19054, 9511, 7729, 690, 636, 810, 9053, 13, 220, 24218, 379, 1494, 13, 15152, 4071, 1578, 482, 439, 358, 11224, 3485, 482, 912, 832, 5900, 1306, 279, 23234, 13, 220, 30070, 430, 4442, 11, 12079, 20550, 690, 3136, 311, 2586, 323, 1274, 690, 2103, 1935, 9610, 315, 1124, 13, 128001, -100, 2677, 904, 3492, 304, 264, 7419, 477, 3187, 311, 1505, 279, 4441, 369, 430, 3492, 198, 791, 502, 2383, 690, 387, 5946, 555, 20302, 304, 279, 10683, 627, 35862, 9629, 7016, 1047, 1027, 11102, 627, 64, 2383, 2403, 8221, 53003, 198, 64, 502, 2383, 389, 6166, 15637, 198, 2181, 374, 2403, 279, 2383, 311, 6246, 389, 264, 2033, 14071, 1584, 627, 791, 2254, 11447, 374, 10235, 311, 66943, 1124, 369, 15061, 279, 2383, 627, 7469, 7510, 527, 64042, 1274, 311, 41701, 279, 2383, 323, 539, 4662, 52933, 311, 2911, 1234, 59139, 627, 8780, 4442, 527, 2631, 555, 2383, 311, 387, 304, 4477, 627, 7009, 43347, 311, 990, 2949, 279, 2383, 311, 4546, 922, 2349, 627, 63295, 279, 3109, 6463, 904, 4033, 374, 3485, 279, 2383, 627, 791, 4121, 1436, 3719, 2383, 439, 5246, 439, 1828, 1060, 627, 2181, 374, 279, 18919, 59082, 753, 2683, 311, 29262, 279, 2383, 11, 539, 279, 5929, 4783, 753, 627, 79039, 753, 1027, 3856, 3876, 2383, 369, 220, 508, 1667, 627, 21279, 315, 1124, 527, 21630, 2383, 520, 12374, 627, 2028, 374, 279, 8013, 6498, 7419, 315, 2383, 13, 2806, 3778, 6498, 7419, 315, 2383, 13, 128001, -100, 5018, 17101, 3332, 27, 7687, 29, 2247, 44398, 3332, 16, 12339, 30570, 6387, 1479, 2247, 67, 418, 3332, 34042, 2142, 65473, 20975, 2247, 1354, 38096, 82, 794, 10562, 1359, 3518, 794, 5932, 1359, 85, 354, 1821, 794, 1041, 1359, 2067, 1149, 82, 794, 777, 1359, 77, 14630, 794, 23, 1359, 4683, 794, 5958, 1359, 417, 67682, 9110, 685, 3332, 84537, 2247, 17101, 3332, 44, 2727, 366, 7687, 29, 2247, 3415, 953, 794, 2790, 37928, 9110, 685, 3332, 20721, 2247, 17101, 3332, 44, 2727, 366, 7687, 29, 2247, 3415, 953, 794, 1544, 92, 14316, 128001, -100, 10445, 5268, 51826, 12175, 369, 28975, 304, 279, 9624, 5380, 50, 1950, 649, 1520, 499, 13383, 279, 2539, 907, 315, 7528, 18475, 449, 264, 16195, 2134, 315, 33935, 430, 1629, 304, 279, 51826, 15161, 439, 1664, 439, 701, 1866, 879, 477, 586, 9624, 13, 1666, 279, 1917, 753, 7808, 304, 828, 323, 79136, 10105, 11, 51826, 6835, 499, 279, 2410, 323, 11542, 311, 92064, 11, 10299, 5326, 323, 387, 62565, 304, 279, 9624, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75 ]
[ 128000, 791, 5165, 81557, 44881, 374, 6044, 37245, 26, 7438, 430, 7487, 9960, 555, 279, 13155, 527, 10171, 311, 1304, 15438, 19564, 1555, 872, 23234, 304, 2015, 311, 47201, 3268, 430, 1218, 1017, 1124, 311, 7720, 3984, 555, 279, 13155, 627, 21886, 398, 279, 15438, 19035, 4478, 374, 31787, 3640, 520, 220, 605, 3346, 315, 264, 12128, 753, 20547, 15438, 24608, 3917, 311, 279, 61129, 19035, 22959, 304, 279, 13470, 1060, 304, 902, 279, 12128, 15662, 279, 8070, 13, 578, 19035, 22959, 374, 32828, 30171, 323, 279, 24493, 5097, 2515, 505, 6186, 315, 1855, 1060, 627, 791, 19683, 374, 4869, 11, 65509, 311, 37910, 1193, 4376, 315, 279, 12128, 753, 15438, 45691, 19035, 505, 279, 9548, 753, 24608, 323, 1243, 923, 459, 6273, 13651, 627, 37132, 388, 527, 1101, 2631, 311, 1323, 275, 7487, 529, 15438, 19564, 2949, 220, 605, 2919, 315, 279, 842, 315, 279, 13470, 2305, 311, 902, 279, 24608, 29243, 13, 602, 1770, 13, 19564, 369, 37532, 15662, 304, 279, 2305, 315, 5887, 1288, 387, 7318, 555, 220, 605, 339, 578, 4245, 2457, 374, 279, 842, 315, 1855, 2305, 26, 279, 5066, 220, 605, 2919, 527, 1120, 264, 21507, 4261, 13, 5884, 19035, 2737, 1234, 14073, 430, 374, 539, 7318, 2949, 220, 605, 2919, 315, 279, 842, 315, 279, 13470, 2305, 311, 902, 433, 36716, 61191, 264, 16750, 6273, 311, 220, 508, 3346, 40944, 369, 1855, 2305, 477, 961, 34366, 279, 19035, 8625, 55184, 627, 50909, 3002, 279, 8323, 315, 19564, 11, 23234, 527, 65509, 311, 3493, 15438, 4780, 430, 8881, 279, 7487, 529, 2539, 5144, 11, 3674, 4868, 1396, 11, 5426, 12506, 3786, 1396, 11, 20547, 24608, 323, 279, 20081, 9548, 323, 19683, 19035, 627, 32876, 8881, 279, 20547, 19602, 627, 17965, 555, 459, 19683, 311, 9502, 15438, 4780, 42852, 279, 3485, 3649, 1121, 304, 32174, 304, 17437, 19564, 311, 3697, 529, 9815, 2737, 3284, 17437, 315, 19564, 311, 15465, 3697, 529, 9815, 627, 791, 17139, 2515, 315, 21142, 315, 8009, 15438, 4780, 555, 23234, 374, 430, 433, 45382, 279, 22677, 753, 12876, 311, 1920, 8349, 2949, 264, 13579, 892, 4124, 653, 1617, 467, 481, 627, 791, 22677, 706, 92381, 1403, 8323, 12006, 1555, 902, 23234, 649, 1323, 275, 19564, 311, 279, 13155, 13, 578, 1176, 5613, 374, 279, 6193, 279, 20315, 320, 1831, 34, 705, 1405, 23234, 617, 311, 22655, 4034, 264, 452, 2599, 7934, 5274, 311, 1304, 8323, 13, 578, 2132, 5613, 374, 279, 35269, 8323, 3072, 13, 9636, 420, 3072, 11, 23234, 649, 3060, 3708, 264, 2653, 8728, 7754, 311, 872, 6201, 477, 39201, 279, 8323, 505, 872, 8715, 7757, 8323, 5452, 627, 791, 22677, 374, 4726, 304, 279, 1920, 315, 47594, 279, 14683, 8323, 5613, 304, 2015, 311, 32172, 279, 8323, 315, 19564, 449, 15438, 4780, 21142, 13, 1102, 374, 26253, 430, 279, 502, 8323, 5613, 690, 2686, 279, 1510, 8815, 315, 8009, 2038, 17575, 555, 23234, 1555, 279, 33762, 315, 828, 10741, 1603, 279, 1887, 27441, 279, 8323, 369, 19035, 627, 644, 2015, 311, 7417, 279, 4367, 315, 19035, 828, 279, 22677, 10187, 369, 1855, 26373, 11, 7487, 527, 21190, 311, 15870, 1817, 279, 2704, 315, 872, 19564, 555, 17136, 264, 452, 2599, 7934, 5274, 477, 13598, 4669, 279, 452, 2599, 7934, 2930, 5452, 27753, 1057, 3997, 320, 77, 2690, 64, 6973, 4025, 76, 8, 477, 1701, 872, 6505, 4641, 555, 3060, 33577, 279, 22234, 917, 477, 28960, 287, 353, 24375, 2, 627, 2181, 374, 4726, 459, 9548, 753, 29672, 311, 1934, 904, 6103, 389, 279, 12518, 304, 2015, 311, 6106, 430, 994, 274, 78156, 9221, 17446, 369, 264, 8935, 11, 872, 3802, 374, 539, 1193, 23183, 304, 1695, 892, 719, 430, 279, 4495, 3392, 374, 7318, 627, 11787, 499, 264, 26373, 311, 452, 2599, 7934, 5380, 5519, 499, 617, 264, 9983, 8398, 2360, 13, 5380, 5519, 499, 617, 810, 1109, 832, 9983, 8398, 1396, 5380, 3957, 701, 9983, 8398, 1396, 24116, 12722, 389, 1057, 75952, 753, 3335, 323, 21935, 34215, 5380, 5519, 499, 617, 701, 63932, 2038, 6177, 5380, 2746, 701, 4320, 311, 904, 315, 279, 4860, 3485, 374, 5782, 11, 1243, 47626, 3729, 279, 24379, 452, 2599, 7934, 5274, 477, 1057, 3729, 4219, 320, 263, 220, 11592, 16, 12, 19498, 12, 24375, 477, 3630, 109181, 2690, 64, 30531, 71340, 906, 11974, 5181, 8, 369, 9650, 323, 34630, 532, 1957, 13, 2893, 5225, 311, 701, 9983, 8398, 74112, 369, 264, 2731, 2532, 505, 452, 2599, 7934, 13, 128001, 128000, 1, 19182, 8415, 11, 499, 1390, 311, 7940, 304, 279, 597, 91997, 7673, 4691, 856, 220, 17, 1060, 2362, 10003, 439, 1364, 73307, 1077, 12829, 62705, 297, 2727, 1169, 8415, 1139, 1077, 597, 91997, 323, 1243, 1139, 1077, 11013, 13, 330, 2028, 374, 779, 39721, 30571, 25765, 21265, 4018, 5153, 527, 264, 2011, 617, 5507, 369, 5737, 449, 3691, 323, 26921, 4560, 502, 15657, 13, 2435, 527, 44252, 11, 4228, 11, 323, 9622, 1949, 0, 5810, 374, 1120, 459, 3187, 315, 1268, 584, 1511, 433, 449, 264, 15792, 19151, 297, 2727, 1169, 13, 7089, 15657, 499, 649, 1005, 1124, 449, 2997, 25, 16385, 323, 16831, 34344, 311, 9041, 502, 15657, 389, 11, 16163, 13339, 11, 26390, 11, 39834, 80960, 11, 5099, 13, 578, 24525, 527, 26762, 0, 1442, 499, 527, 3411, 369, 21483, 2678, 3403, 369, 2678, 15657, 11, 1427, 369, 1514, 31452, 7526, 627, 7131, 499, 3596, 1781, 499, 4265, 1518, 1884, 1403, 4339, 3871, 30, 1226, 1047, 264, 2763, 315, 2523, 449, 420, 4382, 79276, 5820, 0, 763, 264, 3766, 1772, 389, 15496, 1712, 439, 264, 49069, 3217, 11, 358, 9932, 1701, 9955, 12843, 311, 18885, 279, 12945, 315, 15657, 13, 5810, 596, 459, 3187, 315, 1268, 433, 649, 387, 2884, 311, 15253, 2911, 311, 13488, 2204, 36263, 323, 12945, 28559, 627, 27368, 60803, 55143, 449, 45926, 12843, 198, 27368, 60803, 320, 22479, 6308, 37161, 1680, 358, 4179, 3690, 264, 9145, 315, 20268, 719, 1005, 8996, 1742, 499, 1093, 198, 50796, 12843, 320, 22479, 6308, 1680, 358, 1120, 1511, 1148, 358, 1766, 304, 856, 38681, 482, 597, 91997, 11, 65407, 11, 20897, 12932, 11, 323, 29839, 19737, 13, 358, 574, 3411, 369, 264, 8205, 315, 8146, 198, 2169, 988, 320, 22479, 6308, 27404, 340, 31998, 320, 22479, 10247, 340, 2028, 374, 2216, 459, 1825, 9670, 5820, 13, 358, 11497, 311, 279, 2911, 323, 62653, 1268, 814, 649, 1005, 279, 79276, 439, 279, 6308, 37161, 323, 584, 15243, 922, 279, 8146, 315, 330, 34717, 1210, 358, 6688, 1124, 279, 3072, 311, 24522, 264, 14654, 1139, 279, 2204, 9955, 12843, 311, 1518, 1268, 814, 61580, 1603, 584, 6137, 13, 2435, 1051, 6380, 311, 656, 430, 323, 584, 15243, 922, 279, 2204, 36263, 323, 902, 6305, 814, 3463, 2643, 12945, 1888, 449, 79276, 627, 12487, 11, 584, 1120, 1047, 520, 433, 11, 21899, 287, 323, 19354, 320, 438, 12459, 8, 3201, 13, 358, 21190, 97103, 323, 67231, 279, 79276, 323, 814, 9670, 709, 4737, 279, 1828, 3094, 323, 88289, 287, 1855, 6710, 1306, 19354, 449, 433, 627, 1687, 9709, 8146, 323, 32523, 11, 15243, 922, 1148, 61580, 1695, 3871, 323, 1148, 3287, 956, 11, 323, 3549, 1063, 29585, 1989, 430, 814, 1051, 5128, 12691, 315, 4999, 7131, 499, 1456, 420, 5820, 30, 12522, 4860, 477, 11302, 30, 5321, 2733, 1949, 311, 4068, 3770, 0, 128001, 128000, 2170, 279, 1620, 2363, 304, 279, 4101, 12302, 11, 29793, 11824, 323, 452, 616, 648, 1505, 5694, 304, 7295, 13, 30538, 16661, 872, 81481, 3130, 814, 1505, 459, 35498, 13, 29793, 323, 11824, 2733, 1093, 872, 9131, 374, 459, 12266, 832, 13, 452, 616, 648, 3250, 956, 1390, 311, 3041, 709, 2533, 1364, 374, 1457, 459, 99119, 9671, 14746, 278, 1093, 11824, 323, 29793, 13, 220, 29793, 323, 11824, 3619, 3403, 315, 279, 31089, 311, 1440, 430, 814, 1205, 311, 733, 311, 264, 42482, 276, 1514, 520, 279, 11495, 41910, 38571, 13, 5659, 872, 279, 1957, 9731, 311, 3139, 13, 3639, 374, 63266, 17791, 709, 304, 420, 2363, 374, 279, 2144, 430, 499, 1212, 311, 1518, 279, 5885, 10712, 279, 8125, 814, 527, 1306, 279, 31089, 323, 1304, 433, 264, 3284, 8903, 369, 11824, 323, 29793, 311, 12265, 304, 872, 9131, 13, 3639, 374, 430, 9131, 30, 1472, 3358, 1205, 311, 1373, 420, 1957, 19937, 2363, 311, 1505, 704, 13, 358, 10456, 1124, 682, 323, 12491, 311, 1518, 1124, 733, 13, 38994, 584, 690, 6865, 810, 505, 11824, 11, 29793, 323, 452, 616, 648, 304, 279, 3938, 13, 128001, 128000, 29303, 3104, 5029, 9439, 198, 791, 3428, 4907, 315, 490, 275, 2411, 596, 25407, 3727, 433, 5107, 311, 11388, 490, 275, 2411, 2922, 23121, 32246, 3734, 555, 1701, 14812, 1156, 396, 67184, 26060, 627, 75246, 1152, 1572, 1189, 220, 16, 13, 23, 2917, 552, 320, 3080, 19397, 80, 8, 220, 21, 555, 220, 15, 13, 17, 15271, 320, 9756, 13, 19, 9653, 25800, 220, 20, 13, 16, 9653, 8, 490, 275, 2411, 348, 10522, 527, 15792, 11, 490, 275, 2411, 2427, 300, 44518, 9168, 348, 10522, 6832, 9358, 27529, 527, 49482, 449, 264, 33088, 269, 13, 9086, 279, 1023, 69551, 19031, 315, 35784, 11, 490, 275, 2411, 374, 5107, 311, 2389, 483, 627, 66814, 655, 11, 12466, 11, 323, 1063, 13124, 315, 9699, 527, 682, 14738, 55424, 481, 627, 791, 1890, 374, 837, 11, 43169, 311, 264, 32415, 13112, 11, 315, 409, 29051, 2411, 627, 2028, 374, 3249, 14198, 71143, 3933, 320, 708, 19434, 4745, 9958, 8, 4250, 29166, 19664, 35784, 11, 719, 814, 656, 32802, 279, 2678, 23413, 315, 409, 29051, 2411, 97192, 627, 13461, 779, 11, 16204, 490, 275, 2411, 505, 279, 60527, 1253, 387, 35946, 1306, 3892, 1667, 311, 8108, 279, 5326, 315, 1202, 53754, 311, 279, 4676, 627, 67403, 3370, 7572, 24367, 596, 330, 51, 1018, 2411, 57817, 47750, 1, 11618, 709, 311, 220, 17, 11, 2636, 52021, 320, 17, 11, 2636, 1317, 20181, 26, 220, 17, 11, 4728, 2875, 20181, 8, 315, 8987, 3090, 264, 1060, 11, 323, 433, 62849, 704, 922, 220, 17, 13, 20, 21647, 320, 20, 13, 20, 19398, 8, 315, 490, 275, 2411, 11, 3339, 433, 2561, 369, 1023, 5829, 627, 2409, 279, 46661, 44716, 59200, 52131, 320, 23380, 8, 1306, 279, 842, 315, 279, 24062, 5111, 11, 279, 6484, 17135, 1051, 14343, 369, 279, 502, 11, 9333, 1396, 315, 11499, 10094, 369, 1063, 892, 627, 791, 5788, 315, 490, 275, 2411, 574, 58505, 449, 76327, 367, 315, 58000, 8649, 57907, 320, 265, 49033, 279, 13783, 2585, 58000, 8649, 32732, 263, 11, 19973, 51318, 11, 477, 105539, 77, 2411, 705, 520, 279, 71573, 315, 279, 8518, 59336, 4821, 38544, 97554, 17040, 304, 220, 1049, 18, 4235, 1049, 20, 8272, 555, 33289, 315, 490, 275, 2411, 505, 279, 58000, 520, 279, 502, 85283, 2411, 95606, 47750, 2052, 25524, 97192, 11, 1694, 24306, 315, 463, 35511, 323, 26878, 26692, 11, 2109, 301, 832, 2500, 1606, 315, 872, 6928, 6900, 627, 438, 433, 19786, 220, 972, 13, 21, 2004, 650, 315, 4907, 304, 279, 1920, 627, 791, 17130, 596, 71423, 4907, 35327, 11, 449, 459, 5578, 315, 220, 20, 13, 22, 2004, 650, 11, 1418, 279, 9861, 4907, 374, 11953, 1022, 555, 279, 7154, 2073, 13478, 481, 17130, 3276, 483, 80381, 3394, 627, 11458, 11, 279, 26878, 26692, 304, 279, 490, 275, 2411, 62607, 5376, 279, 19411, 3831, 11499, 5457, 994, 7263, 3345, 3403, 311, 2500, 25524, 62607, 13, 128001 ]
[ -100, 791, 5165, 81557, 44881, 374, 6044, 37245, 26, 7438, 430, 7487, 9960, 555, 279, 13155, 527, 10171, 311, 1304, 15438, 19564, 1555, 872, 23234, 304, 2015, 311, 47201, 3268, 430, 1218, 1017, 1124, 311, 7720, 3984, 555, 279, 13155, 627, 21886, 398, 279, 15438, 19035, 4478, 374, 31787, 3640, 520, 220, 605, 3346, 315, 264, 12128, 753, 20547, 15438, 24608, 3917, 311, 279, 61129, 19035, 22959, 304, 279, 13470, 1060, 304, 902, 279, 12128, 15662, 279, 8070, 13, 578, 19035, 22959, 374, 32828, 30171, 323, 279, 24493, 5097, 2515, 505, 6186, 315, 1855, 1060, 627, 791, 19683, 374, 4869, 11, 65509, 311, 37910, 1193, 4376, 315, 279, 12128, 753, 15438, 45691, 19035, 505, 279, 9548, 753, 24608, 323, 1243, 923, 459, 6273, 13651, 627, 37132, 388, 527, 1101, 2631, 311, 1323, 275, 7487, 529, 15438, 19564, 2949, 220, 605, 2919, 315, 279, 842, 315, 279, 13470, 2305, 311, 902, 279, 24608, 29243, 13, 602, 1770, 13, 19564, 369, 37532, 15662, 304, 279, 2305, 315, 5887, 1288, 387, 7318, 555, 220, 605, 339, 578, 4245, 2457, 374, 279, 842, 315, 1855, 2305, 26, 279, 5066, 220, 605, 2919, 527, 1120, 264, 21507, 4261, 13, 5884, 19035, 2737, 1234, 14073, 430, 374, 539, 7318, 2949, 220, 605, 2919, 315, 279, 842, 315, 279, 13470, 2305, 311, 902, 433, 36716, 61191, 264, 16750, 6273, 311, 220, 508, 3346, 40944, 369, 1855, 2305, 477, 961, 34366, 279, 19035, 8625, 55184, 627, 50909, 3002, 279, 8323, 315, 19564, 11, 23234, 527, 65509, 311, 3493, 15438, 4780, 430, 8881, 279, 7487, 529, 2539, 5144, 11, 3674, 4868, 1396, 11, 5426, 12506, 3786, 1396, 11, 20547, 24608, 323, 279, 20081, 9548, 323, 19683, 19035, 627, 32876, 8881, 279, 20547, 19602, 627, 17965, 555, 459, 19683, 311, 9502, 15438, 4780, 42852, 279, 3485, 3649, 1121, 304, 32174, 304, 17437, 19564, 311, 3697, 529, 9815, 2737, 3284, 17437, 315, 19564, 311, 15465, 3697, 529, 9815, 627, 791, 17139, 2515, 315, 21142, 315, 8009, 15438, 4780, 555, 23234, 374, 430, 433, 45382, 279, 22677, 753, 12876, 311, 1920, 8349, 2949, 264, 13579, 892, 4124, 653, 1617, 467, 481, 627, 791, 22677, 706, 92381, 1403, 8323, 12006, 1555, 902, 23234, 649, 1323, 275, 19564, 311, 279, 13155, 13, 578, 1176, 5613, 374, 279, 6193, 279, 20315, 320, 1831, 34, 705, 1405, 23234, 617, 311, 22655, 4034, 264, 452, 2599, 7934, 5274, 311, 1304, 8323, 13, 578, 2132, 5613, 374, 279, 35269, 8323, 3072, 13, 9636, 420, 3072, 11, 23234, 649, 3060, 3708, 264, 2653, 8728, 7754, 311, 872, 6201, 477, 39201, 279, 8323, 505, 872, 8715, 7757, 8323, 5452, 627, 791, 22677, 374, 4726, 304, 279, 1920, 315, 47594, 279, 14683, 8323, 5613, 304, 2015, 311, 32172, 279, 8323, 315, 19564, 449, 15438, 4780, 21142, 13, 1102, 374, 26253, 430, 279, 502, 8323, 5613, 690, 2686, 279, 1510, 8815, 315, 8009, 2038, 17575, 555, 23234, 1555, 279, 33762, 315, 828, 10741, 1603, 279, 1887, 27441, 279, 8323, 369, 19035, 627, 644, 2015, 311, 7417, 279, 4367, 315, 19035, 828, 279, 22677, 10187, 369, 1855, 26373, 11, 7487, 527, 21190, 311, 15870, 1817, 279, 2704, 315, 872, 19564, 555, 17136, 264, 452, 2599, 7934, 5274, 477, 13598, 4669, 279, 452, 2599, 7934, 2930, 5452, 27753, 1057, 3997, 320, 77, 2690, 64, 6973, 4025, 76, 8, 477, 1701, 872, 6505, 4641, 555, 3060, 33577, 279, 22234, 917, 477, 28960, 287, 353, 24375, 2, 627, 2181, 374, 4726, 459, 9548, 753, 29672, 311, 1934, 904, 6103, 389, 279, 12518, 304, 2015, 311, 6106, 430, 994, 274, 78156, 9221, 17446, 369, 264, 8935, 11, 872, 3802, 374, 539, 1193, 23183, 304, 1695, 892, 719, 430, 279, 4495, 3392, 374, 7318, 627, 11787, 499, 264, 26373, 311, 452, 2599, 7934, 5380, 5519, 499, 617, 264, 9983, 8398, 2360, 13, 5380, 5519, 499, 617, 810, 1109, 832, 9983, 8398, 1396, 5380, 3957, 701, 9983, 8398, 1396, 24116, 12722, 389, 1057, 75952, 753, 3335, 323, 21935, 34215, 5380, 5519, 499, 617, 701, 63932, 2038, 6177, 5380, 2746, 701, 4320, 311, 904, 315, 279, 4860, 3485, 374, 5782, 11, 1243, 47626, 3729, 279, 24379, 452, 2599, 7934, 5274, 477, 1057, 3729, 4219, 320, 263, 220, 11592, 16, 12, 19498, 12, 24375, 477, 3630, 109181, 2690, 64, 30531, 71340, 906, 11974, 5181, 8, 369, 9650, 323, 34630, 532, 1957, 13, 2893, 5225, 311, 701, 9983, 8398, 74112, 369, 264, 2731, 2532, 505, 452, 2599, 7934, 13, 128001, -100, 1, 19182, 8415, 11, 499, 1390, 311, 7940, 304, 279, 597, 91997, 7673, 4691, 856, 220, 17, 1060, 2362, 10003, 439, 1364, 73307, 1077, 12829, 62705, 297, 2727, 1169, 8415, 1139, 1077, 597, 91997, 323, 1243, 1139, 1077, 11013, 13, 330, 2028, 374, 779, 39721, 30571, 25765, 21265, 4018, 5153, 527, 264, 2011, 617, 5507, 369, 5737, 449, 3691, 323, 26921, 4560, 502, 15657, 13, 2435, 527, 44252, 11, 4228, 11, 323, 9622, 1949, 0, 5810, 374, 1120, 459, 3187, 315, 1268, 584, 1511, 433, 449, 264, 15792, 19151, 297, 2727, 1169, 13, 7089, 15657, 499, 649, 1005, 1124, 449, 2997, 25, 16385, 323, 16831, 34344, 311, 9041, 502, 15657, 389, 11, 16163, 13339, 11, 26390, 11, 39834, 80960, 11, 5099, 13, 578, 24525, 527, 26762, 0, 1442, 499, 527, 3411, 369, 21483, 2678, 3403, 369, 2678, 15657, 11, 1427, 369, 1514, 31452, 7526, 627, 7131, 499, 3596, 1781, 499, 4265, 1518, 1884, 1403, 4339, 3871, 30, 1226, 1047, 264, 2763, 315, 2523, 449, 420, 4382, 79276, 5820, 0, 763, 264, 3766, 1772, 389, 15496, 1712, 439, 264, 49069, 3217, 11, 358, 9932, 1701, 9955, 12843, 311, 18885, 279, 12945, 315, 15657, 13, 5810, 596, 459, 3187, 315, 1268, 433, 649, 387, 2884, 311, 15253, 2911, 311, 13488, 2204, 36263, 323, 12945, 28559, 627, 27368, 60803, 55143, 449, 45926, 12843, 198, 27368, 60803, 320, 22479, 6308, 37161, 1680, 358, 4179, 3690, 264, 9145, 315, 20268, 719, 1005, 8996, 1742, 499, 1093, 198, 50796, 12843, 320, 22479, 6308, 1680, 358, 1120, 1511, 1148, 358, 1766, 304, 856, 38681, 482, 597, 91997, 11, 65407, 11, 20897, 12932, 11, 323, 29839, 19737, 13, 358, 574, 3411, 369, 264, 8205, 315, 8146, 198, 2169, 988, 320, 22479, 6308, 27404, 340, 31998, 320, 22479, 10247, 340, 2028, 374, 2216, 459, 1825, 9670, 5820, 13, 358, 11497, 311, 279, 2911, 323, 62653, 1268, 814, 649, 1005, 279, 79276, 439, 279, 6308, 37161, 323, 584, 15243, 922, 279, 8146, 315, 330, 34717, 1210, 358, 6688, 1124, 279, 3072, 311, 24522, 264, 14654, 1139, 279, 2204, 9955, 12843, 311, 1518, 1268, 814, 61580, 1603, 584, 6137, 13, 2435, 1051, 6380, 311, 656, 430, 323, 584, 15243, 922, 279, 2204, 36263, 323, 902, 6305, 814, 3463, 2643, 12945, 1888, 449, 79276, 627, 12487, 11, 584, 1120, 1047, 520, 433, 11, 21899, 287, 323, 19354, 320, 438, 12459, 8, 3201, 13, 358, 21190, 97103, 323, 67231, 279, 79276, 323, 814, 9670, 709, 4737, 279, 1828, 3094, 323, 88289, 287, 1855, 6710, 1306, 19354, 449, 433, 627, 1687, 9709, 8146, 323, 32523, 11, 15243, 922, 1148, 61580, 1695, 3871, 323, 1148, 3287, 956, 11, 323, 3549, 1063, 29585, 1989, 430, 814, 1051, 5128, 12691, 315, 4999, 7131, 499, 1456, 420, 5820, 30, 12522, 4860, 477, 11302, 30, 5321, 2733, 1949, 311, 4068, 3770, 0, 128001, -100, 2170, 279, 1620, 2363, 304, 279, 4101, 12302, 11, 29793, 11824, 323, 452, 616, 648, 1505, 5694, 304, 7295, 13, 30538, 16661, 872, 81481, 3130, 814, 1505, 459, 35498, 13, 29793, 323, 11824, 2733, 1093, 872, 9131, 374, 459, 12266, 832, 13, 452, 616, 648, 3250, 956, 1390, 311, 3041, 709, 2533, 1364, 374, 1457, 459, 99119, 9671, 14746, 278, 1093, 11824, 323, 29793, 13, 220, 29793, 323, 11824, 3619, 3403, 315, 279, 31089, 311, 1440, 430, 814, 1205, 311, 733, 311, 264, 42482, 276, 1514, 520, 279, 11495, 41910, 38571, 13, 5659, 872, 279, 1957, 9731, 311, 3139, 13, 3639, 374, 63266, 17791, 709, 304, 420, 2363, 374, 279, 2144, 430, 499, 1212, 311, 1518, 279, 5885, 10712, 279, 8125, 814, 527, 1306, 279, 31089, 323, 1304, 433, 264, 3284, 8903, 369, 11824, 323, 29793, 311, 12265, 304, 872, 9131, 13, 3639, 374, 430, 9131, 30, 1472, 3358, 1205, 311, 1373, 420, 1957, 19937, 2363, 311, 1505, 704, 13, 358, 10456, 1124, 682, 323, 12491, 311, 1518, 1124, 733, 13, 38994, 584, 690, 6865, 810, 505, 11824, 11, 29793, 323, 452, 616, 648, 304, 279, 3938, 13, 128001, -100, 29303, 3104, 5029, 9439, 198, 791, 3428, 4907, 315, 490, 275, 2411, 596, 25407, 3727, 433, 5107, 311, 11388, 490, 275, 2411, 2922, 23121, 32246, 3734, 555, 1701, 14812, 1156, 396, 67184, 26060, 627, 75246, 1152, 1572, 1189, 220, 16, 13, 23, 2917, 552, 320, 3080, 19397, 80, 8, 220, 21, 555, 220, 15, 13, 17, 15271, 320, 9756, 13, 19, 9653, 25800, 220, 20, 13, 16, 9653, 8, 490, 275, 2411, 348, 10522, 527, 15792, 11, 490, 275, 2411, 2427, 300, 44518, 9168, 348, 10522, 6832, 9358, 27529, 527, 49482, 449, 264, 33088, 269, 13, 9086, 279, 1023, 69551, 19031, 315, 35784, 11, 490, 275, 2411, 374, 5107, 311, 2389, 483, 627, 66814, 655, 11, 12466, 11, 323, 1063, 13124, 315, 9699, 527, 682, 14738, 55424, 481, 627, 791, 1890, 374, 837, 11, 43169, 311, 264, 32415, 13112, 11, 315, 409, 29051, 2411, 627, 2028, 374, 3249, 14198, 71143, 3933, 320, 708, 19434, 4745, 9958, 8, 4250, 29166, 19664, 35784, 11, 719, 814, 656, 32802, 279, 2678, 23413, 315, 409, 29051, 2411, 97192, 627, 13461, 779, 11, 16204, 490, 275, 2411, 505, 279, 60527, 1253, 387, 35946, 1306, 3892, 1667, 311, 8108, 279, 5326, 315, 1202, 53754, 311, 279, 4676, 627, 67403, 3370, 7572, 24367, 596, 330, 51, 1018, 2411, 57817, 47750, 1, 11618, 709, 311, 220, 17, 11, 2636, 52021, 320, 17, 11, 2636, 1317, 20181, 26, 220, 17, 11, 4728, 2875, 20181, 8, 315, 8987, 3090, 264, 1060, 11, 323, 433, 62849, 704, 922, 220, 17, 13, 20, 21647, 320, 20, 13, 20, 19398, 8, 315, 490, 275, 2411, 11, 3339, 433, 2561, 369, 1023, 5829, 627, 2409, 279, 46661, 44716, 59200, 52131, 320, 23380, 8, 1306, 279, 842, 315, 279, 24062, 5111, 11, 279, 6484, 17135, 1051, 14343, 369, 279, 502, 11, 9333, 1396, 315, 11499, 10094, 369, 1063, 892, 627, 791, 5788, 315, 490, 275, 2411, 574, 58505, 449, 76327, 367, 315, 58000, 8649, 57907, 320, 265, 49033, 279, 13783, 2585, 58000, 8649, 32732, 263, 11, 19973, 51318, 11, 477, 105539, 77, 2411, 705, 520, 279, 71573, 315, 279, 8518, 59336, 4821, 38544, 97554, 17040, 304, 220, 1049, 18, 4235, 1049, 20, 8272, 555, 33289, 315, 490, 275, 2411, 505, 279, 58000, 520, 279, 502, 85283, 2411, 95606, 47750, 2052, 25524, 97192, 11, 1694, 24306, 315, 463, 35511, 323, 26878, 26692, 11, 2109, 301, 832, 2500, 1606, 315, 872, 6928, 6900, 627, 438, 433, 19786, 220, 972, 13, 21, 2004, 650, 315, 4907, 304, 279, 1920, 627, 791, 17130, 596, 71423, 4907, 35327, 11, 449, 459, 5578, 315, 220, 20, 13, 22, 2004, 650, 11, 1418, 279, 9861, 4907, 374, 11953, 1022, 555, 279, 7154, 2073, 13478, 481, 17130, 3276, 483, 80381, 3394, 627, 11458, 11, 279, 26878, 26692, 304, 279, 490, 275, 2411, 62607, 5376, 279, 19411, 3831, 11499, 5457, 994, 7263, 3345, 3403, 311, 2500, 25524, 62607, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476 ]
[ 128000, 44, 21581, 35848, 5165, 72377, 482, 1795, 1129, 2185, 1276, 1725, 14489, 3262, 84, 1146, 198, 22244, 374, 279, 1888, 5021, 27578, 3078, 37997, 430, 1436, 11000, 387, 1766, 304, 682, 279, 36658, 315, 279, 1917, 1359, 14610, 29711, 380, 3842, 15130, 404, 994, 23524, 279, 81389, 13962, 2579, 82129, 315, 15130, 404, 35848, 627, 25503, 279, 220, 5245, 15, 596, 11, 1690, 18671, 7188, 35335, 86497, 1051, 9960, 449, 13962, 2579, 6798, 12690, 4528, 311, 1884, 1457, 1766, 304, 15130, 404, 35848, 5165, 72377, 13, 578, 13952, 3235, 3816, 6798, 24076, 304, 3432, 596, 15130, 404, 35848, 574, 74688, 505, 8558, 1606, 433, 574, 2653, 311, 636, 311, 13, 2876, 287, 430, 3816, 6798, 24076, 13282, 832, 315, 279, 5960, 13175, 9332, 12299, 596, 1566, 653, 10453, 13656, 315, 2362, 2427, 19632, 2579, 6798, 11, 71483, 12656, 18206, 323, 813, 7555, 11, 21393, 666, 11252, 18206, 11, 11021, 220, 16780, 27464, 1618, 369, 400, 1774, 11, 931, 304, 220, 7028, 20, 13, 2057, 6144, 279, 2579, 82129, 279, 735, 812, 34468, 279, 4363, 311, 279, 3723, 4273, 12411, 10423, 323, 11, 304, 220, 7028, 23, 11, 4900, 77449, 47042, 14610, 433, 264, 5426, 37997, 13, 47042, 12090, 36048, 279, 3158, 1306, 18206, 11, 719, 18206, 4934, 433, 7086, 369, 29711, 380, 3842, 15130, 404, 13, 128001, 128000, 37, 34002, 374, 4315, 279, 24417, 315, 69792, 449, 1274, 99139, 31665, 369, 3691, 323, 26677, 1060, 704, 13, 1666, 502, 5528, 323, 16346, 315, 13988, 1711, 11, 99139, 323, 1243, 17843, 31665, 369, 15652, 3782, 311, 279, 2291, 11, 459, 30029, 5064, 574, 14454, 13, 11450, 11, 1475, 3224, 430, 706, 3403, 4363, 369, 52129, 706, 1063, 19641, 430, 814, 3139, 304, 20155, 13, 578, 1121, 374, 430, 1555, 11380, 1521, 3956, 11, 279, 8752, 315, 264, 3224, 539, 1193, 27276, 4861, 719, 67232, 439, 1664, 13, 37963, 374, 832, 315, 279, 6522, 19647, 304, 279, 3723, 4273, 11, 3686, 433, 374, 13176, 3892, 2204, 11774, 449, 20957, 18189, 304, 1396, 1524, 449, 279, 7982, 1205, 369, 3691, 1475, 1060, 13, 1115, 706, 1027, 5423, 837, 369, 279, 1274, 2212, 279, 1917, 1606, 11, 304, 1455, 315, 279, 14875, 11, 44862, 323, 11904, 5961, 11, 279, 7187, 374, 7859, 2288, 19019, 369, 279, 3691, 430, 649, 387, 49672, 3984, 627, 2181, 374, 369, 430, 2944, 430, 1070, 527, 264, 2478, 5961, 430, 17631, 10213, 389, 1202, 30029, 5064, 311, 3493, 279, 30830, 1202, 56527, 627, 2460, 315, 279, 3485, 9932, 5961, 17631, 389, 30029, 439, 872, 6332, 3445, 315, 2626, 2949, 279, 3224, 439, 1664, 439, 279, 6625, 11380, 13, 7429, 11, 279, 1396, 315, 20957, 527, 8617, 7982, 1070, 1475, 1060, 13, 9220, 315, 279, 7928, 29149, 5961, 304, 279, 1917, 527, 5734, 323, 7427, 13, 4452, 11, 279, 15629, 706, 1047, 264, 5199, 76506, 304, 37500, 753, 32027, 315, 3389, 902, 706, 3719, 264, 40876, 5030, 369, 279, 2307, 13477, 627, 11439, 311, 279, 12369, 323, 37963, 21021, 315, 3723, 19687, 320, 3711, 46, 705, 279, 1917, 753, 7187, 374, 2133, 311, 99565, 709, 311, 220, 24, 13, 21, 7239, 304, 220, 679, 20, 13, 2100, 433, 374, 1101, 74978, 430, 279, 37500, 753, 7732, 3966, 311, 5376, 872, 3691, 5788, 13, 578, 13240, 6650, 369, 264, 22556, 3691, 8312, 304, 220, 10866, 15, 2795, 430, 279, 1510, 5788, 3966, 311, 5376, 555, 4661, 220, 2031, 14697, 1115, 11, 4869, 11, 3966, 311, 387, 2884, 304, 17715, 279, 1890, 802, 481, 4363, 449, 279, 1917, 753, 7878, 3090, 9298, 264, 11295, 18174, 13, 2684, 374, 264, 2944, 3249, 7878, 3090, 374, 10671, 1778, 264, 70665, 5211, 1606, 220, 2031, 4, 315, 279, 7878, 3090, 27073, 555, 279, 12966, 374, 1511, 304, 30029, 627, 644, 34781, 315, 1521, 7859, 18651, 11, 279, 37500, 32027, 304, 279, 3723, 4273, 374, 409, 698, 1303, 45370, 13, 10771, 311, 264, 3293, 61091, 10795, 11, 279, 2860, 20957, 304, 279, 3224, 4024, 505, 220, 18, 13, 1591, 3610, 304, 220, 1049, 22, 311, 220, 17, 13, 972, 3610, 304, 220, 679, 17, 13, 3011, 374, 264, 482, 18, 13, 16, 4, 2349, 323, 279, 61091, 3966, 311, 4546, 1063, 31343, 304, 279, 33489, 5064, 430, 1053, 9504, 279, 1274, 57017, 505, 7926, 7119, 279, 30029, 5064, 627, 4897, 304, 5196, 1288, 539, 387, 2653, 3245, 311, 656, 13, 37963, 46877, 4536, 1431, 1120, 922, 7106, 9511, 304, 279, 2115, 11, 559, 9308, 893, 554, 323, 7625, 10789, 279, 46266, 13, 578, 5064, 389, 1948, 315, 279, 18945, 7487, 3966, 18945, 20258, 430, 649, 10299, 279, 31665, 11, 51876, 11, 5687, 11, 323, 40382, 315, 279, 8961, 13, 18945, 50184, 449, 11084, 12628, 430, 3493, 9650, 311, 279, 20957, 13, 72808, 14609, 1705, 430, 1304, 2771, 279, 31665, 527, 9498, 323, 7692, 374, 7340, 11, 13750, 3339, 1124, 19641, 16410, 13, 35802, 505, 430, 11, 1070, 527, 7032, 1093, 5510, 26677, 1705, 11, 35687, 11, 6020, 58784, 323, 449, 279, 11599, 315, 14713, 48448, 5557, 1694, 6532, 304, 33489, 11, 810, 25175, 323, 14248, 430, 3493, 5627, 311, 5376, 279, 7692, 627, 28055, 5961, 617, 279, 8592, 21801, 315, 63422, 198, 91, 23366, 8651, 16813, 8651, 7749, 63422, 8651, 4, 315, 2860, 32027, 304, 37963, 7511, 791, 7427, 323, 1023, 8040, 17089, 690, 617, 311, 1935, 264, 16312, 704, 315, 279, 87153, 315, 5961, 1093, 31930, 49624, 11, 50064, 11, 20992, 11, 323, 3885, 323, 5376, 279, 37500, 32027, 304, 279, 7140, 369, 279, 25491, 315, 279, 3224, 439, 1664, 439, 279, 8312, 315, 1690, 1023, 31665, 323, 8356, 2212, 279, 1917, 13, 128001, 128000, 2028, 2363, 5727, 1495, 323, 27255, 38940, 320, 438, 264, 2478, 5015, 33207, 598, 8, 1073, 7154, 220, 3443, 29924, 14016, 304, 4606, 505, 220, 9335, 24, 311, 220, 11286, 20, 13, 1102, 5039, 279, 9041, 315, 29924, 18112, 704, 4102, 505, 48606, 323, 22463, 311, 459, 3158, 42949, 505, 34411, 311, 23223, 11, 505, 23782, 311, 47149, 11, 505, 19627, 311, 97877, 11, 505, 35440, 311, 61750, 11, 323, 505, 28702, 311, 18157, 13, 578, 2363, 49095, 4375, 555, 927, 220, 6330, 56035, 11, 2737, 279, 810, 11537, 35561, 6853, 1355, 14946, 11, 17971, 72, 11, 71884, 5048, 11, 279, 5960, 10845, 2353, 11, 66486, 3067, 97866, 11, 45506, 89010, 11, 432, 2715, 64, 4896, 11, 63651, 822, 12036, 5770, 11, 8409, 26205, 11, 72460, 4111, 11, 650, 625, 8083, 11, 97108, 11, 323, 1611, 326, 6, 2244, 2727, 11, 439, 1664, 439, 1690, 56838, 651, 11559, 40634, 12678, 26, 369, 3187, 11, 279, 8767, 9987, 65122, 819, 11726, 30594, 21042, 5355, 16056, 434, 7674, 320, 269, 5355, 409, 393, 13559, 8, 59696, 439, 459, 50013, 1595, 47, 543, 4111, 315, 279, 4892, 3238, 763, 279, 65814, 527, 6160, 32277, 68782, 315, 682, 279, 56035, 323, 459, 16781, 36762, 67142, 661, 315, 43563, 3878, 13, 1115, 2363, 35730, 311, 6335, 323, 11203, 1543, 27083, 11, 323, 690, 387, 8104, 11190, 311, 4236, 304, 1989, 323, 43563, 3925, 14307, 11, 439, 1664, 439, 311, 32753, 9293, 21728, 311, 5596, 315, 4606, 13, 128001, 128000, 12792, 16716, 649, 7958, 499, 304, 5627, 430, 499, 2643, 539, 1755, 13, 1789, 3187, 11, 433, 649, 1935, 264, 26936, 389, 701, 7106, 323, 10723, 2890, 627, 7927, 10723, 323, 7106, 2890, 10383, 832, 2500, 13, 2684, 374, 264, 6928, 26670, 1990, 279, 1403, 11, 7438, 430, 994, 832, 58054, 11, 279, 1023, 374, 4461, 311, 1833, 13, 578, 2515, 1253, 387, 7191, 422, 499, 527, 9191, 477, 2736, 617, 16940, 2890, 4819, 627, 11439, 311, 549, 815, 13, 5513, 323, 4435, 8423, 11, 499, 1253, 3217, 13803, 315, 1772, 80367, 33030, 8631, 19823, 2768, 701, 25549, 11, 5423, 422, 499, 2163, 459, 43658, 5133, 13, 1789, 3187, 11, 279, 31175, 680, 13744, 4455, 315, 701, 5133, 1253, 14794, 5694, 439, 71093, 69855, 8381, 25082, 13, 8940, 16716, 649, 1101, 3063, 311, 13803, 315, 18710, 323, 18547, 439, 499, 3663, 459, 36218, 3938, 627, 1163, 8535, 8631, 374, 264, 10723, 2515, 315, 25549, 430, 649, 1101, 52875, 349, 904, 6484, 2890, 5435, 499, 1253, 617, 13, 7570, 422, 499, 656, 539, 617, 904, 2890, 5435, 2736, 11, 499, 1253, 387, 520, 7191, 5326, 315, 11469, 4787, 1778, 439, 22852, 48294, 11, 33048, 11, 83511, 323, 1579, 6680, 7410, 422, 279, 21249, 8631, 5900, 83920, 13, 7252, 9601, 6821, 430, 11, 7863, 311, 872, 12502, 38495, 11, 25549, 12992, 279, 5326, 315, 41713, 8624, 304, 6278, 57859, 3026, 323, 3278, 627, 8142, 279, 5326, 315, 41713, 8624, 12992, 369, 2225, 3026, 323, 3278, 2768, 25549, 11, 814, 656, 539, 1501, 279, 1890, 5376, 13, 1442, 499, 527, 264, 5333, 11, 701, 5326, 369, 4851, 8624, 2768, 701, 25549, 374, 7191, 1109, 433, 1053, 387, 422, 499, 1051, 264, 893, 627, 2688, 682, 279, 6372, 315, 25549, 527, 8389, 13, 4427, 1274, 1934, 7191, 11542, 323, 16267, 3131, 279, 1920, 374, 4686, 13, 578, 11542, 430, 499, 8895, 1253, 1520, 499, 311, 1935, 279, 5995, 7504, 311, 7417, 701, 2890, 13, 128001, 128000, 50, 31341, 420, 7701, 45955, 323, 27331, 1567, 24121, 369, 36256, 2237, 50794, 0, 52878, 690, 16988, 304, 6206, 10539, 7640, 11, 4048, 922, 6721, 4500, 10708, 11, 17562, 279, 15394, 753, 6017, 9251, 20906, 81978, 36256, 8198, 6696, 6603, 11, 16681, 449, 279, 6164, 315, 39642, 32, 323, 1023, 5426, 323, 6625, 11351, 11, 9762, 2038, 922, 10292, 323, 13500, 7620, 369, 36256, 13639, 11, 4009, 11, 323, 4048, 1268, 311, 3719, 810, 6532, 304, 6721, 11351, 13, 763, 28591, 11, 814, 690, 4321, 3201, 449, 264, 2010, 2539, 315, 6848, 323, 11977, 10409, 449, 7384, 13, 2893, 264, 1401, 8427, 389, 872, 1853, 311, 2450, 0, 128001 ]
[ -100, 44, 21581, 35848, 5165, 72377, 482, 1795, 1129, 2185, 1276, 1725, 14489, 3262, 84, 1146, 198, 22244, 374, 279, 1888, 5021, 27578, 3078, 37997, 430, 1436, 11000, 387, 1766, 304, 682, 279, 36658, 315, 279, 1917, 1359, 14610, 29711, 380, 3842, 15130, 404, 994, 23524, 279, 81389, 13962, 2579, 82129, 315, 15130, 404, 35848, 627, 25503, 279, 220, 5245, 15, 596, 11, 1690, 18671, 7188, 35335, 86497, 1051, 9960, 449, 13962, 2579, 6798, 12690, 4528, 311, 1884, 1457, 1766, 304, 15130, 404, 35848, 5165, 72377, 13, 578, 13952, 3235, 3816, 6798, 24076, 304, 3432, 596, 15130, 404, 35848, 574, 74688, 505, 8558, 1606, 433, 574, 2653, 311, 636, 311, 13, 2876, 287, 430, 3816, 6798, 24076, 13282, 832, 315, 279, 5960, 13175, 9332, 12299, 596, 1566, 653, 10453, 13656, 315, 2362, 2427, 19632, 2579, 6798, 11, 71483, 12656, 18206, 323, 813, 7555, 11, 21393, 666, 11252, 18206, 11, 11021, 220, 16780, 27464, 1618, 369, 400, 1774, 11, 931, 304, 220, 7028, 20, 13, 2057, 6144, 279, 2579, 82129, 279, 735, 812, 34468, 279, 4363, 311, 279, 3723, 4273, 12411, 10423, 323, 11, 304, 220, 7028, 23, 11, 4900, 77449, 47042, 14610, 433, 264, 5426, 37997, 13, 47042, 12090, 36048, 279, 3158, 1306, 18206, 11, 719, 18206, 4934, 433, 7086, 369, 29711, 380, 3842, 15130, 404, 13, 128001, -100, 37, 34002, 374, 4315, 279, 24417, 315, 69792, 449, 1274, 99139, 31665, 369, 3691, 323, 26677, 1060, 704, 13, 1666, 502, 5528, 323, 16346, 315, 13988, 1711, 11, 99139, 323, 1243, 17843, 31665, 369, 15652, 3782, 311, 279, 2291, 11, 459, 30029, 5064, 574, 14454, 13, 11450, 11, 1475, 3224, 430, 706, 3403, 4363, 369, 52129, 706, 1063, 19641, 430, 814, 3139, 304, 20155, 13, 578, 1121, 374, 430, 1555, 11380, 1521, 3956, 11, 279, 8752, 315, 264, 3224, 539, 1193, 27276, 4861, 719, 67232, 439, 1664, 13, 37963, 374, 832, 315, 279, 6522, 19647, 304, 279, 3723, 4273, 11, 3686, 433, 374, 13176, 3892, 2204, 11774, 449, 20957, 18189, 304, 1396, 1524, 449, 279, 7982, 1205, 369, 3691, 1475, 1060, 13, 1115, 706, 1027, 5423, 837, 369, 279, 1274, 2212, 279, 1917, 1606, 11, 304, 1455, 315, 279, 14875, 11, 44862, 323, 11904, 5961, 11, 279, 7187, 374, 7859, 2288, 19019, 369, 279, 3691, 430, 649, 387, 49672, 3984, 627, 2181, 374, 369, 430, 2944, 430, 1070, 527, 264, 2478, 5961, 430, 17631, 10213, 389, 1202, 30029, 5064, 311, 3493, 279, 30830, 1202, 56527, 627, 2460, 315, 279, 3485, 9932, 5961, 17631, 389, 30029, 439, 872, 6332, 3445, 315, 2626, 2949, 279, 3224, 439, 1664, 439, 279, 6625, 11380, 13, 7429, 11, 279, 1396, 315, 20957, 527, 8617, 7982, 1070, 1475, 1060, 13, 9220, 315, 279, 7928, 29149, 5961, 304, 279, 1917, 527, 5734, 323, 7427, 13, 4452, 11, 279, 15629, 706, 1047, 264, 5199, 76506, 304, 37500, 753, 32027, 315, 3389, 902, 706, 3719, 264, 40876, 5030, 369, 279, 2307, 13477, 627, 11439, 311, 279, 12369, 323, 37963, 21021, 315, 3723, 19687, 320, 3711, 46, 705, 279, 1917, 753, 7187, 374, 2133, 311, 99565, 709, 311, 220, 24, 13, 21, 7239, 304, 220, 679, 20, 13, 2100, 433, 374, 1101, 74978, 430, 279, 37500, 753, 7732, 3966, 311, 5376, 872, 3691, 5788, 13, 578, 13240, 6650, 369, 264, 22556, 3691, 8312, 304, 220, 10866, 15, 2795, 430, 279, 1510, 5788, 3966, 311, 5376, 555, 4661, 220, 2031, 14697, 1115, 11, 4869, 11, 3966, 311, 387, 2884, 304, 17715, 279, 1890, 802, 481, 4363, 449, 279, 1917, 753, 7878, 3090, 9298, 264, 11295, 18174, 13, 2684, 374, 264, 2944, 3249, 7878, 3090, 374, 10671, 1778, 264, 70665, 5211, 1606, 220, 2031, 4, 315, 279, 7878, 3090, 27073, 555, 279, 12966, 374, 1511, 304, 30029, 627, 644, 34781, 315, 1521, 7859, 18651, 11, 279, 37500, 32027, 304, 279, 3723, 4273, 374, 409, 698, 1303, 45370, 13, 10771, 311, 264, 3293, 61091, 10795, 11, 279, 2860, 20957, 304, 279, 3224, 4024, 505, 220, 18, 13, 1591, 3610, 304, 220, 1049, 22, 311, 220, 17, 13, 972, 3610, 304, 220, 679, 17, 13, 3011, 374, 264, 482, 18, 13, 16, 4, 2349, 323, 279, 61091, 3966, 311, 4546, 1063, 31343, 304, 279, 33489, 5064, 430, 1053, 9504, 279, 1274, 57017, 505, 7926, 7119, 279, 30029, 5064, 627, 4897, 304, 5196, 1288, 539, 387, 2653, 3245, 311, 656, 13, 37963, 46877, 4536, 1431, 1120, 922, 7106, 9511, 304, 279, 2115, 11, 559, 9308, 893, 554, 323, 7625, 10789, 279, 46266, 13, 578, 5064, 389, 1948, 315, 279, 18945, 7487, 3966, 18945, 20258, 430, 649, 10299, 279, 31665, 11, 51876, 11, 5687, 11, 323, 40382, 315, 279, 8961, 13, 18945, 50184, 449, 11084, 12628, 430, 3493, 9650, 311, 279, 20957, 13, 72808, 14609, 1705, 430, 1304, 2771, 279, 31665, 527, 9498, 323, 7692, 374, 7340, 11, 13750, 3339, 1124, 19641, 16410, 13, 35802, 505, 430, 11, 1070, 527, 7032, 1093, 5510, 26677, 1705, 11, 35687, 11, 6020, 58784, 323, 449, 279, 11599, 315, 14713, 48448, 5557, 1694, 6532, 304, 33489, 11, 810, 25175, 323, 14248, 430, 3493, 5627, 311, 5376, 279, 7692, 627, 28055, 5961, 617, 279, 8592, 21801, 315, 63422, 198, 91, 23366, 8651, 16813, 8651, 7749, 63422, 8651, 4, 315, 2860, 32027, 304, 37963, 7511, 791, 7427, 323, 1023, 8040, 17089, 690, 617, 311, 1935, 264, 16312, 704, 315, 279, 87153, 315, 5961, 1093, 31930, 49624, 11, 50064, 11, 20992, 11, 323, 3885, 323, 5376, 279, 37500, 32027, 304, 279, 7140, 369, 279, 25491, 315, 279, 3224, 439, 1664, 439, 279, 8312, 315, 1690, 1023, 31665, 323, 8356, 2212, 279, 1917, 13, 128001, -100, 2028, 2363, 5727, 1495, 323, 27255, 38940, 320, 438, 264, 2478, 5015, 33207, 598, 8, 1073, 7154, 220, 3443, 29924, 14016, 304, 4606, 505, 220, 9335, 24, 311, 220, 11286, 20, 13, 1102, 5039, 279, 9041, 315, 29924, 18112, 704, 4102, 505, 48606, 323, 22463, 311, 459, 3158, 42949, 505, 34411, 311, 23223, 11, 505, 23782, 311, 47149, 11, 505, 19627, 311, 97877, 11, 505, 35440, 311, 61750, 11, 323, 505, 28702, 311, 18157, 13, 578, 2363, 49095, 4375, 555, 927, 220, 6330, 56035, 11, 2737, 279, 810, 11537, 35561, 6853, 1355, 14946, 11, 17971, 72, 11, 71884, 5048, 11, 279, 5960, 10845, 2353, 11, 66486, 3067, 97866, 11, 45506, 89010, 11, 432, 2715, 64, 4896, 11, 63651, 822, 12036, 5770, 11, 8409, 26205, 11, 72460, 4111, 11, 650, 625, 8083, 11, 97108, 11, 323, 1611, 326, 6, 2244, 2727, 11, 439, 1664, 439, 1690, 56838, 651, 11559, 40634, 12678, 26, 369, 3187, 11, 279, 8767, 9987, 65122, 819, 11726, 30594, 21042, 5355, 16056, 434, 7674, 320, 269, 5355, 409, 393, 13559, 8, 59696, 439, 459, 50013, 1595, 47, 543, 4111, 315, 279, 4892, 3238, 763, 279, 65814, 527, 6160, 32277, 68782, 315, 682, 279, 56035, 323, 459, 16781, 36762, 67142, 661, 315, 43563, 3878, 13, 1115, 2363, 35730, 311, 6335, 323, 11203, 1543, 27083, 11, 323, 690, 387, 8104, 11190, 311, 4236, 304, 1989, 323, 43563, 3925, 14307, 11, 439, 1664, 439, 311, 32753, 9293, 21728, 311, 5596, 315, 4606, 13, 128001, -100, 12792, 16716, 649, 7958, 499, 304, 5627, 430, 499, 2643, 539, 1755, 13, 1789, 3187, 11, 433, 649, 1935, 264, 26936, 389, 701, 7106, 323, 10723, 2890, 627, 7927, 10723, 323, 7106, 2890, 10383, 832, 2500, 13, 2684, 374, 264, 6928, 26670, 1990, 279, 1403, 11, 7438, 430, 994, 832, 58054, 11, 279, 1023, 374, 4461, 311, 1833, 13, 578, 2515, 1253, 387, 7191, 422, 499, 527, 9191, 477, 2736, 617, 16940, 2890, 4819, 627, 11439, 311, 549, 815, 13, 5513, 323, 4435, 8423, 11, 499, 1253, 3217, 13803, 315, 1772, 80367, 33030, 8631, 19823, 2768, 701, 25549, 11, 5423, 422, 499, 2163, 459, 43658, 5133, 13, 1789, 3187, 11, 279, 31175, 680, 13744, 4455, 315, 701, 5133, 1253, 14794, 5694, 439, 71093, 69855, 8381, 25082, 13, 8940, 16716, 649, 1101, 3063, 311, 13803, 315, 18710, 323, 18547, 439, 499, 3663, 459, 36218, 3938, 627, 1163, 8535, 8631, 374, 264, 10723, 2515, 315, 25549, 430, 649, 1101, 52875, 349, 904, 6484, 2890, 5435, 499, 1253, 617, 13, 7570, 422, 499, 656, 539, 617, 904, 2890, 5435, 2736, 11, 499, 1253, 387, 520, 7191, 5326, 315, 11469, 4787, 1778, 439, 22852, 48294, 11, 33048, 11, 83511, 323, 1579, 6680, 7410, 422, 279, 21249, 8631, 5900, 83920, 13, 7252, 9601, 6821, 430, 11, 7863, 311, 872, 12502, 38495, 11, 25549, 12992, 279, 5326, 315, 41713, 8624, 304, 6278, 57859, 3026, 323, 3278, 627, 8142, 279, 5326, 315, 41713, 8624, 12992, 369, 2225, 3026, 323, 3278, 2768, 25549, 11, 814, 656, 539, 1501, 279, 1890, 5376, 13, 1442, 499, 527, 264, 5333, 11, 701, 5326, 369, 4851, 8624, 2768, 701, 25549, 374, 7191, 1109, 433, 1053, 387, 422, 499, 1051, 264, 893, 627, 2688, 682, 279, 6372, 315, 25549, 527, 8389, 13, 4427, 1274, 1934, 7191, 11542, 323, 16267, 3131, 279, 1920, 374, 4686, 13, 578, 11542, 430, 499, 8895, 1253, 1520, 499, 311, 1935, 279, 5995, 7504, 311, 7417, 701, 2890, 13, 128001, -100, 50, 31341, 420, 7701, 45955, 323, 27331, 1567, 24121, 369, 36256, 2237, 50794, 0, 52878, 690, 16988, 304, 6206, 10539, 7640, 11, 4048, 922, 6721, 4500, 10708, 11, 17562, 279, 15394, 753, 6017, 9251, 20906, 81978, 36256, 8198, 6696, 6603, 11, 16681, 449, 279, 6164, 315, 39642, 32, 323, 1023, 5426, 323, 6625, 11351, 11, 9762, 2038, 922, 10292, 323, 13500, 7620, 369, 36256, 13639, 11, 4009, 11, 323, 4048, 1268, 311, 3719, 810, 6532, 304, 6721, 11351, 13, 763, 28591, 11, 814, 690, 4321, 3201, 449, 264, 2010, 2539, 315, 6848, 323, 11977, 10409, 449, 7384, 13, 2893, 264, 1401, 8427, 389, 872, 1853, 311, 2450, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109 ]
[ 128000, 40, 617, 3549, 264, 7060, 31990, 68371, 15030, 675, 10010, 449, 64489, 92670, 6, 432, 532, 998, 75239, 816, 1923, 11, 1518, 17437, 389, 420, 39347, 1618, 13, 1666, 358, 11224, 304, 279, 3766, 1772, 433, 574, 264, 8063, 311, 53203, 449, 13, 1789, 279, 22807, 892, 358, 574, 48174, 2403, 1168, 1468, 983, 4205, 304, 264, 7060, 31990, 13, 2030, 358, 617, 311, 2019, 430, 420, 39347, 374, 8056, 13, 358, 1053, 8659, 53203, 449, 433, 1578, 13, 1102, 1168, 1220, 709, 32719, 323, 706, 1778, 264, 17104, 330, 10888, 1, 311, 433, 627, 8586, 374, 279, 2697, 2447, 430, 374, 5131, 2561, 1555, 432, 3963, 894, 13, 358, 1440, 430, 420, 374, 279, 4948, 19122, 5250, 13933, 5907, 5497, 358, 617, 2884, 11, 719, 11, 1855, 832, 374, 10284, 2204, 323, 5829, 2204, 39347, 82, 323, 27339, 315, 279, 19122, 5250, 13933, 19365, 627, 2520, 1884, 315, 499, 704, 1070, 430, 617, 1027, 71560, 311, 53203, 449, 264, 7060, 31990, 39347, 477, 1051, 27207, 3201, 449, 279, 3492, 330, 27634, 498, 1243, 420, 5497, 1253, 387, 1120, 1148, 499, 1051, 3411, 369, 13, 1102, 374, 1101, 264, 2294, 2697, 53203, 369, 1884, 430, 6562, 311, 656, 2555, 430, 374, 14738, 4059, 1752, 13, 3651, 18575, 433, 1193, 5097, 220, 16, 5041, 315, 39347, 3001, 358, 3021, 220, 16, 13131, 468, 28413, 3001, 2650, 12738, 374, 430, 7801, 36625, 422, 499, 527, 279, 955, 315, 1732, 430, 3727, 264, 2763, 315, 21258, 13, 1102, 2216, 374, 264, 2763, 315, 26518, 369, 701, 22786, 0, 2582, 400, 23, 13, 2721, 315, 1124, 304, 2144, 13, 4702, 1456, 311, 1505, 304, 279, 3637, 459, 12738, 53203, 68371, 15030, 675, 10010, 369, 1234, 400, 605, 13, 410, 13, 1628, 279, 39347, 374, 220, 1041, 4, 26041, 31253, 8930, 3394, 47400, 3001, 72047, 358, 1436, 733, 389, 323, 389, 1975, 9522, 13246, 358, 1071, 358, 27785, 1511, 220, 16, 5041, 315, 279, 432, 532, 998, 75239, 13, 578, 5041, 374, 220, 15515, 76, 14, 1135, 70, 5041, 13, 358, 656, 617, 264, 1633, 2697, 2766, 2163, 11, 1120, 264, 2697, 3001, 1102, 4131, 304, 1690, 17104, 27230, 13, 578, 30760, 69, 574, 53203, 389, 264, 220, 18, 13, 914, 3906, 28029, 31409, 13, 362, 28029, 31409, 574, 1511, 311, 29376, 682, 279, 63036, 499, 842, 709, 449, 13, 4740, 72899, 1304, 2771, 430, 499, 2565, 433, 779, 430, 279, 46793, 330, 25149, 1, 709, 13, 1102, 2216, 1587, 1304, 264, 6811, 311, 2565, 433, 13, 1472, 649, 3060, 14739, 279, 1537, 323, 11203, 10269, 323, 9160, 304, 2035, 311, 279, 1314, 1404, 477, 499, 649, 20930, 2565, 13, 358, 20930, 19857, 420, 68371, 13, 358, 9160, 832, 6964, 323, 20930, 323, 6958, 1139, 2035, 323, 1243, 9160, 304, 2035, 1418, 433, 1080, 3145, 1523, 13, 358, 690, 617, 311, 20461, 430, 304, 279, 3221, 3938, 13, 1628, 994, 499, 10950, 1022, 1304, 2771, 430, 499, 10950, 1022, 63557, 779, 430, 279, 6964, 315, 279, 68371, 57622, 29921, 323, 1587, 539, 6958, 13, 4427, 1274, 733, 709, 264, 1404, 315, 31409, 311, 10950, 1022, 311, 29376, 420, 13, 358, 1120, 1304, 2771, 430, 358, 1097, 1633, 4228, 449, 279, 39347, 323, 1541, 956, 6958, 2288, 40069, 994, 358, 10950, 1022, 13, 1666, 11224, 304, 279, 5497, 1304, 2771, 430, 499, 10950, 1022, 393, 1103, 4583, 439, 420, 8779, 449, 279, 20700, 315, 279, 6964, 627, 40, 3987, 499, 3041, 420, 5497, 264, 733, 13, 1102, 2216, 374, 14470, 4228, 311, 53203, 13, 128001, 128000, 2028, 4652, 32216, 1268, 39678, 8993, 4731, 649, 387, 459, 7524, 5507, 304, 22923, 9498, 8993, 6650, 13, 4740, 27409, 39678, 8993, 4731, 1555, 279, 26793, 315, 79180, 31162, 2508, 11, 279, 3229, 15100, 1268, 433, 69589, 2254, 6865, 388, 1555, 872, 1866, 44901, 11306, 13, 1115, 25702, 16628, 374, 9959, 304, 430, 433, 19861, 1392, 62194, 315, 53640, 22100, 323, 2262, 13, 2030, 433, 1101, 25949, 6865, 388, 1555, 279, 5370, 5990, 315, 872, 78162, 13, 578, 4652, 10548, 449, 264, 1162, 4007, 315, 1268, 264, 75094, 315, 11904, 70634, 14673, 323, 6654, 33, 86316, 527, 11469, 477, 2786, 6108, 39678, 4731, 311, 4639, 11, 84277, 1077, 65741, 11, 323, 39153, 553, 279, 32843, 627, 65825, 587, 372, 11, 350, 13, 320, 2366, 15, 570, 3011, 2052, 3297, 57199, 25, 2650, 47103, 9441, 10948, 10984, 414, 1154, 9441, 34871, 304, 10384, 13, 8681, 9849, 8483, 10139, 11, 220, 806, 7, 17, 705, 220, 2421, 12, 6889, 13, 58891, 505, 3788, 1129, 58369, 96912, 4795, 84, 12871, 4951, 5192, 73, 5574, 337, 806, 14, 1056, 17, 14, 19, 128001, 128000, 791, 6938, 9336, 6150, 11182, 8925, 315, 85196, 16626, 1566, 2046, 311, 1935, 264, 400, 2614, 11, 931, 2978, 77162, 311, 279, 11969, 520, 264, 3297, 220, 23, 3361, 6355, 13, 1102, 690, 387, 279, 1176, 892, 279, 9474, 706, 16495, 264, 77162, 304, 220, 966, 1667, 627, 12198, 3697, 48620, 6295, 10863, 11, 35607, 17638, 783, 11, 323, 29026, 33116, 66318, 682, 16626, 304, 4799, 315, 279, 77162, 430, 690, 1935, 2035, 520, 264, 31744, 6355, 520, 279, 2978, 627, 11439, 311, 11182, 63240, 29656, 23809, 11, 279, 45968, 5376, 264, 39273, 1053, 1518, 389, 872, 4121, 369, 264, 400, 1041, 11, 931, 2162, 374, 400, 1682, 11, 323, 279, 1396, 369, 264, 400, 1049, 11, 931, 2162, 374, 400, 2970, 627, 44, 8629, 1071, 994, 264, 2978, 8640, 459, 6355, 477, 17501, 11969, 369, 824, 1131, 128001, 128000, 2028, 374, 264, 10430, 389, 6274, 369, 5385, 20, 3980, 44306, 4669, 602, 4467, 719, 279, 1217, 22698, 374, 743, 364, 1899, 47751, 6, 2949, 279, 58265, 320, 18360, 8, 3857, 11, 961, 315, 279, 5195, 58265, 5699, 25, 358, 1097, 19969, 311, 1715, 5385, 20, 3980, 44306, 1701, 459, 602, 4467, 779, 430, 422, 1403, 6732, 2997, 279, 1890, 49513, 11, 323, 12515, 40, 1097, 19969, 311, 1715, 5385, 20, 3980, 44306, 1701, 459, 602, 4467, 779, 430, 422, 1403, 6732, 2997, 279, 1890, 49513, 11, 323, 264, 1217, 27441, 8709, 389, 279, 1176, 2816, 11, 568, 690, 539, 387, 29746, 1578, 369, 8041, 389, 279, 2132, 2816, 13, 1115, 4375, 2294, 389, 6785, 13585, 11, 719, 358, 1097, 539, 3025, 311, 636, 311, 636, 433, 311, 990, 389, 5195, 17669, 11829, 59763, 25, 358, 617, 1403, 6732, 21749, 6830, 323, 21749, 7826, 13, 2435, 2225, 2997, 279, 2768, 49513, 63, 58, 24085, 60, 2338, 429, 1277, 1129, 2465, 54267, 635, 916, 16843, 4467, 2628, 760, 25130, 24085, 60, 63, 438, 1795, 1129, 2465, 54267, 635, 916, 16843, 4467, 2628, 5727, 2082, 311, 1715, 264, 1217, 596, 3980, 44306, 1701, 5385, 20, 8032, 10179, 25, 1521, 31084, 527, 539, 1972, 719, 1120, 10688, 369, 856, 3575, 5224, 60, 11439, 311, 420, 510, 7203, 9725, 1277, 1129, 2185, 1444, 18, 2726, 14, 679, 15, 10729, 12, 47921, 2695, 1131, 85, 2826, 2695, 82, 12, 1187, 16378, 8, 358, 1766, 2930, 11, 358, 3685, 430, 994, 279, 1217, 21728, 21749, 6830, 11, 568, 374, 29746, 430, 364, 2465, 54267, 635, 916, 374, 11125, 8041, 311, 2680, 3813, 4527, 1442, 279, 1217, 25076, 8041, 311, 4430, 3813, 449, 364, 2465, 54267, 635, 916, 518, 1243, 17669, 1288, 743, 364, 54425, 6, 389, 2225, 279, 6371, 315, 279, 1948, 11852, 2246, 364, 13950, 6830, 6, 439, 1664, 439, 279, 6371, 315, 279, 5211, 35792, 8041, 364, 2465, 54267, 635, 916, 4527, 11458, 11, 994, 358, 743, 420, 709, 11, 323, 12263, 364, 13950, 6830, 518, 323, 11928, 279, 8709, 11, 358, 14000, 430, 17669, 1047, 743, 279, 8709, 315, 364, 13950, 6830, 6, 311, 364, 54425, 6, 719, 364, 2465, 54267, 635, 916, 6, 311, 364, 31671, 4527, 7184, 17136, 21749, 7826, 11, 358, 1097, 29746, 1578, 364, 2465, 54267, 635, 916, 374, 11125, 8041, 311, 2680, 3813, 6, 902, 18808, 856, 1005, 1162, 2506, 1097, 539, 3025, 311, 10765, 1148, 358, 1253, 617, 5906, 82543, 13, 5884, 1520, 690, 387, 26893, 627, 128001, 128000, 39804, 420, 85979, 323, 32461, 13455, 304, 38841, 507, 537, 13, 578, 13455, 374, 7559, 389, 264, 2294, 3813, 11, 1633, 3345, 311, 1690, 16283, 323, 15926, 13, 45152, 682, 279, 5017, 552, 315, 364, 46, 537, 6, 2949, 11689, 74908, 25, 507, 11975, 29836, 11, 5277, 285, 11, 409, 3383, 267, 301, 323, 279, 11495, 66727, 364, 83, 358, 41, 627, 52555, 430, 11, 38841, 14821, 374, 2949, 264, 220, 605, 9568, 13260, 12141, 11, 2737, 432, 3251, 2857, 76, 11768, 11, 452, 26235, 86, 85690, 11, 1611, 9935, 268, 323, 4395, 775, 627, 39804, 38841, 304, 701, 1866, 11, 879, 13455, 4999, 61935, 13148, 1948, 80450, 11, 389, 264, 9309, 11, 902, 6835, 499, 2294, 6325, 315, 1057, 28530, 38841, 507, 537, 13, 578, 2466, 11276, 6106, 3403, 53121, 311, 1212, 701, 1938, 449, 264, 11033, 627, 791, 5496, 3130, 11, 11093, 449, 1057, 1825, 47117, 9979, 11, 6835, 499, 279, 6776, 311, 12234, 323, 3136, 701, 6369, 1418, 17677, 13, 578, 9979, 374, 3984, 449, 682, 5995, 82036, 8839, 320, 40, 3021, 311, 4394, 7182, 439, 1664, 705, 61433, 11, 24276, 11, 42374, 11, 5099, 627, 52555, 279, 5496, 3130, 11, 584, 617, 1057, 5274, 25, 459, 5066, 3130, 449, 264, 18496, 11, 5066, 6500, 4264, 11, 2363, 5756, 323, 5066, 95840, 13, 578, 28786, 5780, 374, 304, 420, 3130, 439, 1664, 11, 902, 6835, 499, 279, 6776, 311, 11623, 323, 9235, 701, 15447, 627, 791, 14150, 6209, 499, 264, 879, 3634, 11, 449, 2033, 54499, 311, 6106, 701, 3130, 374, 6453, 3403, 2391, 279, 22178, 13, 2684, 527, 1977, 3502, 13001, 304, 279, 33044, 779, 499, 649, 1373, 701, 2363, 304, 279, 11714, 13, 31909, 430, 11, 1070, 596, 264, 6908, 3321, 304, 279, 14150, 323, 9093, 499, 2351, 3025, 311, 15332, 1825, 701, 54499, 304, 279, 6693, 323, 4774, 279, 1684, 627, 791, 15197, 374, 38841, 11549, 25, 2678, 719, 14343, 627, 40, 2834, 956, 387, 2561, 304, 1732, 719, 358, 3358, 6106, 1070, 596, 264, 3729, 9164, 889, 3358, 1095, 499, 304, 13, 128001 ]
[ -100, 40, 617, 3549, 264, 7060, 31990, 68371, 15030, 675, 10010, 449, 64489, 92670, 6, 432, 532, 998, 75239, 816, 1923, 11, 1518, 17437, 389, 420, 39347, 1618, 13, 1666, 358, 11224, 304, 279, 3766, 1772, 433, 574, 264, 8063, 311, 53203, 449, 13, 1789, 279, 22807, 892, 358, 574, 48174, 2403, 1168, 1468, 983, 4205, 304, 264, 7060, 31990, 13, 2030, 358, 617, 311, 2019, 430, 420, 39347, 374, 8056, 13, 358, 1053, 8659, 53203, 449, 433, 1578, 13, 1102, 1168, 1220, 709, 32719, 323, 706, 1778, 264, 17104, 330, 10888, 1, 311, 433, 627, 8586, 374, 279, 2697, 2447, 430, 374, 5131, 2561, 1555, 432, 3963, 894, 13, 358, 1440, 430, 420, 374, 279, 4948, 19122, 5250, 13933, 5907, 5497, 358, 617, 2884, 11, 719, 11, 1855, 832, 374, 10284, 2204, 323, 5829, 2204, 39347, 82, 323, 27339, 315, 279, 19122, 5250, 13933, 19365, 627, 2520, 1884, 315, 499, 704, 1070, 430, 617, 1027, 71560, 311, 53203, 449, 264, 7060, 31990, 39347, 477, 1051, 27207, 3201, 449, 279, 3492, 330, 27634, 498, 1243, 420, 5497, 1253, 387, 1120, 1148, 499, 1051, 3411, 369, 13, 1102, 374, 1101, 264, 2294, 2697, 53203, 369, 1884, 430, 6562, 311, 656, 2555, 430, 374, 14738, 4059, 1752, 13, 3651, 18575, 433, 1193, 5097, 220, 16, 5041, 315, 39347, 3001, 358, 3021, 220, 16, 13131, 468, 28413, 3001, 2650, 12738, 374, 430, 7801, 36625, 422, 499, 527, 279, 955, 315, 1732, 430, 3727, 264, 2763, 315, 21258, 13, 1102, 2216, 374, 264, 2763, 315, 26518, 369, 701, 22786, 0, 2582, 400, 23, 13, 2721, 315, 1124, 304, 2144, 13, 4702, 1456, 311, 1505, 304, 279, 3637, 459, 12738, 53203, 68371, 15030, 675, 10010, 369, 1234, 400, 605, 13, 410, 13, 1628, 279, 39347, 374, 220, 1041, 4, 26041, 31253, 8930, 3394, 47400, 3001, 72047, 358, 1436, 733, 389, 323, 389, 1975, 9522, 13246, 358, 1071, 358, 27785, 1511, 220, 16, 5041, 315, 279, 432, 532, 998, 75239, 13, 578, 5041, 374, 220, 15515, 76, 14, 1135, 70, 5041, 13, 358, 656, 617, 264, 1633, 2697, 2766, 2163, 11, 1120, 264, 2697, 3001, 1102, 4131, 304, 1690, 17104, 27230, 13, 578, 30760, 69, 574, 53203, 389, 264, 220, 18, 13, 914, 3906, 28029, 31409, 13, 362, 28029, 31409, 574, 1511, 311, 29376, 682, 279, 63036, 499, 842, 709, 449, 13, 4740, 72899, 1304, 2771, 430, 499, 2565, 433, 779, 430, 279, 46793, 330, 25149, 1, 709, 13, 1102, 2216, 1587, 1304, 264, 6811, 311, 2565, 433, 13, 1472, 649, 3060, 14739, 279, 1537, 323, 11203, 10269, 323, 9160, 304, 2035, 311, 279, 1314, 1404, 477, 499, 649, 20930, 2565, 13, 358, 20930, 19857, 420, 68371, 13, 358, 9160, 832, 6964, 323, 20930, 323, 6958, 1139, 2035, 323, 1243, 9160, 304, 2035, 1418, 433, 1080, 3145, 1523, 13, 358, 690, 617, 311, 20461, 430, 304, 279, 3221, 3938, 13, 1628, 994, 499, 10950, 1022, 1304, 2771, 430, 499, 10950, 1022, 63557, 779, 430, 279, 6964, 315, 279, 68371, 57622, 29921, 323, 1587, 539, 6958, 13, 4427, 1274, 733, 709, 264, 1404, 315, 31409, 311, 10950, 1022, 311, 29376, 420, 13, 358, 1120, 1304, 2771, 430, 358, 1097, 1633, 4228, 449, 279, 39347, 323, 1541, 956, 6958, 2288, 40069, 994, 358, 10950, 1022, 13, 1666, 11224, 304, 279, 5497, 1304, 2771, 430, 499, 10950, 1022, 393, 1103, 4583, 439, 420, 8779, 449, 279, 20700, 315, 279, 6964, 627, 40, 3987, 499, 3041, 420, 5497, 264, 733, 13, 1102, 2216, 374, 14470, 4228, 311, 53203, 13, 128001, -100, 2028, 4652, 32216, 1268, 39678, 8993, 4731, 649, 387, 459, 7524, 5507, 304, 22923, 9498, 8993, 6650, 13, 4740, 27409, 39678, 8993, 4731, 1555, 279, 26793, 315, 79180, 31162, 2508, 11, 279, 3229, 15100, 1268, 433, 69589, 2254, 6865, 388, 1555, 872, 1866, 44901, 11306, 13, 1115, 25702, 16628, 374, 9959, 304, 430, 433, 19861, 1392, 62194, 315, 53640, 22100, 323, 2262, 13, 2030, 433, 1101, 25949, 6865, 388, 1555, 279, 5370, 5990, 315, 872, 78162, 13, 578, 4652, 10548, 449, 264, 1162, 4007, 315, 1268, 264, 75094, 315, 11904, 70634, 14673, 323, 6654, 33, 86316, 527, 11469, 477, 2786, 6108, 39678, 4731, 311, 4639, 11, 84277, 1077, 65741, 11, 323, 39153, 553, 279, 32843, 627, 65825, 587, 372, 11, 350, 13, 320, 2366, 15, 570, 3011, 2052, 3297, 57199, 25, 2650, 47103, 9441, 10948, 10984, 414, 1154, 9441, 34871, 304, 10384, 13, 8681, 9849, 8483, 10139, 11, 220, 806, 7, 17, 705, 220, 2421, 12, 6889, 13, 58891, 505, 3788, 1129, 58369, 96912, 4795, 84, 12871, 4951, 5192, 73, 5574, 337, 806, 14, 1056, 17, 14, 19, 128001, -100, 791, 6938, 9336, 6150, 11182, 8925, 315, 85196, 16626, 1566, 2046, 311, 1935, 264, 400, 2614, 11, 931, 2978, 77162, 311, 279, 11969, 520, 264, 3297, 220, 23, 3361, 6355, 13, 1102, 690, 387, 279, 1176, 892, 279, 9474, 706, 16495, 264, 77162, 304, 220, 966, 1667, 627, 12198, 3697, 48620, 6295, 10863, 11, 35607, 17638, 783, 11, 323, 29026, 33116, 66318, 682, 16626, 304, 4799, 315, 279, 77162, 430, 690, 1935, 2035, 520, 264, 31744, 6355, 520, 279, 2978, 627, 11439, 311, 11182, 63240, 29656, 23809, 11, 279, 45968, 5376, 264, 39273, 1053, 1518, 389, 872, 4121, 369, 264, 400, 1041, 11, 931, 2162, 374, 400, 1682, 11, 323, 279, 1396, 369, 264, 400, 1049, 11, 931, 2162, 374, 400, 2970, 627, 44, 8629, 1071, 994, 264, 2978, 8640, 459, 6355, 477, 17501, 11969, 369, 824, 1131, 128001, -100, 2028, 374, 264, 10430, 389, 6274, 369, 5385, 20, 3980, 44306, 4669, 602, 4467, 719, 279, 1217, 22698, 374, 743, 364, 1899, 47751, 6, 2949, 279, 58265, 320, 18360, 8, 3857, 11, 961, 315, 279, 5195, 58265, 5699, 25, 358, 1097, 19969, 311, 1715, 5385, 20, 3980, 44306, 1701, 459, 602, 4467, 779, 430, 422, 1403, 6732, 2997, 279, 1890, 49513, 11, 323, 12515, 40, 1097, 19969, 311, 1715, 5385, 20, 3980, 44306, 1701, 459, 602, 4467, 779, 430, 422, 1403, 6732, 2997, 279, 1890, 49513, 11, 323, 264, 1217, 27441, 8709, 389, 279, 1176, 2816, 11, 568, 690, 539, 387, 29746, 1578, 369, 8041, 389, 279, 2132, 2816, 13, 1115, 4375, 2294, 389, 6785, 13585, 11, 719, 358, 1097, 539, 3025, 311, 636, 311, 636, 433, 311, 990, 389, 5195, 17669, 11829, 59763, 25, 358, 617, 1403, 6732, 21749, 6830, 323, 21749, 7826, 13, 2435, 2225, 2997, 279, 2768, 49513, 63, 58, 24085, 60, 2338, 429, 1277, 1129, 2465, 54267, 635, 916, 16843, 4467, 2628, 760, 25130, 24085, 60, 63, 438, 1795, 1129, 2465, 54267, 635, 916, 16843, 4467, 2628, 5727, 2082, 311, 1715, 264, 1217, 596, 3980, 44306, 1701, 5385, 20, 8032, 10179, 25, 1521, 31084, 527, 539, 1972, 719, 1120, 10688, 369, 856, 3575, 5224, 60, 11439, 311, 420, 510, 7203, 9725, 1277, 1129, 2185, 1444, 18, 2726, 14, 679, 15, 10729, 12, 47921, 2695, 1131, 85, 2826, 2695, 82, 12, 1187, 16378, 8, 358, 1766, 2930, 11, 358, 3685, 430, 994, 279, 1217, 21728, 21749, 6830, 11, 568, 374, 29746, 430, 364, 2465, 54267, 635, 916, 374, 11125, 8041, 311, 2680, 3813, 4527, 1442, 279, 1217, 25076, 8041, 311, 4430, 3813, 449, 364, 2465, 54267, 635, 916, 518, 1243, 17669, 1288, 743, 364, 54425, 6, 389, 2225, 279, 6371, 315, 279, 1948, 11852, 2246, 364, 13950, 6830, 6, 439, 1664, 439, 279, 6371, 315, 279, 5211, 35792, 8041, 364, 2465, 54267, 635, 916, 4527, 11458, 11, 994, 358, 743, 420, 709, 11, 323, 12263, 364, 13950, 6830, 518, 323, 11928, 279, 8709, 11, 358, 14000, 430, 17669, 1047, 743, 279, 8709, 315, 364, 13950, 6830, 6, 311, 364, 54425, 6, 719, 364, 2465, 54267, 635, 916, 6, 311, 364, 31671, 4527, 7184, 17136, 21749, 7826, 11, 358, 1097, 29746, 1578, 364, 2465, 54267, 635, 916, 374, 11125, 8041, 311, 2680, 3813, 6, 902, 18808, 856, 1005, 1162, 2506, 1097, 539, 3025, 311, 10765, 1148, 358, 1253, 617, 5906, 82543, 13, 5884, 1520, 690, 387, 26893, 627, 128001, -100, 39804, 420, 85979, 323, 32461, 13455, 304, 38841, 507, 537, 13, 578, 13455, 374, 7559, 389, 264, 2294, 3813, 11, 1633, 3345, 311, 1690, 16283, 323, 15926, 13, 45152, 682, 279, 5017, 552, 315, 364, 46, 537, 6, 2949, 11689, 74908, 25, 507, 11975, 29836, 11, 5277, 285, 11, 409, 3383, 267, 301, 323, 279, 11495, 66727, 364, 83, 358, 41, 627, 52555, 430, 11, 38841, 14821, 374, 2949, 264, 220, 605, 9568, 13260, 12141, 11, 2737, 432, 3251, 2857, 76, 11768, 11, 452, 26235, 86, 85690, 11, 1611, 9935, 268, 323, 4395, 775, 627, 39804, 38841, 304, 701, 1866, 11, 879, 13455, 4999, 61935, 13148, 1948, 80450, 11, 389, 264, 9309, 11, 902, 6835, 499, 2294, 6325, 315, 1057, 28530, 38841, 507, 537, 13, 578, 2466, 11276, 6106, 3403, 53121, 311, 1212, 701, 1938, 449, 264, 11033, 627, 791, 5496, 3130, 11, 11093, 449, 1057, 1825, 47117, 9979, 11, 6835, 499, 279, 6776, 311, 12234, 323, 3136, 701, 6369, 1418, 17677, 13, 578, 9979, 374, 3984, 449, 682, 5995, 82036, 8839, 320, 40, 3021, 311, 4394, 7182, 439, 1664, 705, 61433, 11, 24276, 11, 42374, 11, 5099, 627, 52555, 279, 5496, 3130, 11, 584, 617, 1057, 5274, 25, 459, 5066, 3130, 449, 264, 18496, 11, 5066, 6500, 4264, 11, 2363, 5756, 323, 5066, 95840, 13, 578, 28786, 5780, 374, 304, 420, 3130, 439, 1664, 11, 902, 6835, 499, 279, 6776, 311, 11623, 323, 9235, 701, 15447, 627, 791, 14150, 6209, 499, 264, 879, 3634, 11, 449, 2033, 54499, 311, 6106, 701, 3130, 374, 6453, 3403, 2391, 279, 22178, 13, 2684, 527, 1977, 3502, 13001, 304, 279, 33044, 779, 499, 649, 1373, 701, 2363, 304, 279, 11714, 13, 31909, 430, 11, 1070, 596, 264, 6908, 3321, 304, 279, 14150, 323, 9093, 499, 2351, 3025, 311, 15332, 1825, 701, 54499, 304, 279, 6693, 323, 4774, 279, 1684, 627, 791, 15197, 374, 38841, 11549, 25, 2678, 719, 14343, 627, 40, 2834, 956, 387, 2561, 304, 1732, 719, 358, 3358, 6106, 1070, 596, 264, 3729, 9164, 889, 3358, 1095, 499, 304, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340 ]
[ 128000, 72121, 304, 364, 791, 36845, 596, 9973, 6, 3940, 555, 84349, 36845, 11, 5186, 220, 975, 11, 220, 1049, 23, 627, 15571, 5403, 369, 1455, 22370, 7359, 627, 15335, 1285, 6710, 13, 358, 2846, 2133, 704, 389, 264, 48694, 323, 47576, 420, 7564, 2834, 956, 387, 3318, 369, 27290, 904, 892, 5246, 13, 358, 2846, 539, 2771, 6385, 25604, 265, 275, 374, 439, 48761, 439, 568, 1071, 11, 719, 568, 2771, 1903, 264, 1695, 1162, 13, 1102, 574, 6555, 311, 1518, 433, 636, 17551, 704, 304, 1194, 627, 2460, 430, 16038, 11, 358, 2103, 649, 956, 29011, 922, 279, 10401, 65512, 2751, 1566, 1060, 11, 3582, 3892, 1023, 8571, 23963, 4762, 649, 13, 358, 1781, 584, 2751, 264, 2763, 315, 6928, 1514, 13, 358, 3287, 956, 15763, 1268, 814, 20186, 389, 36303, 1524, 1306, 568, 1903, 433, 2867, 568, 5828, 956, 2133, 11, 719, 47781, 11, 20156, 31878, 11, 779, 814, 1120, 9087, 1893, 264, 2697, 13, 2435, 527, 304, 2626, 311, 11894, 1057, 1633, 2678, 6666, 45395, 627, 2675, 649, 15803, 584, 690, 6865, 11510, 922, 1148, 264, 330, 376, 5599, 839, 3995, 893, 1, 42561, 374, 994, 1057, 3953, 527, 76710, 11, 323, 430, 690, 636, 2362, 11, 719, 42561, 690, 1120, 617, 311, 9495, 1124, 709, 11, 1120, 1093, 36303, 1550, 627, 40, 1541, 956, 1440, 13, 1115, 6392, 82454, 757, 2753, 323, 2753, 13, 1442, 1023, 8571, 23963, 527, 30571, 3403, 311, 4510, 4395, 814, 1373, 922, 603, 11, 889, 454, 23770, 2689, 13, 358, 690, 1120, 2567, 22128, 36303, 40294, 682, 872, 719, 2641, 627, 2170, 369, 11462, 300, 11, 1886, 81, 6385, 22493, 11, 568, 374, 29055, 2536, 1099, 460, 311, 264, 2763, 315, 4846, 4311, 323, 279, 51506, 6011, 13, 1102, 3940, 304, 364, 2839, 994, 6385, 22493, 4024, 4920, 350, 676, 301, 596, 323, 4323, 7420, 596, 1203, 323, 4024, 2403, 872, 7540, 323, 30147, 62140, 5683, 3974, 389, 480, 3690, 352, 320, 39231, 1847, 8, 2085, 5606, 596, 8041, 505, 279, 9827, 13, 3011, 574, 279, 1212, 315, 264, 73779, 5133, 1990, 6385, 22493, 323, 14689, 3314, 323, 433, 706, 17454, 72859, 11201, 627, 40, 1541, 956, 2512, 922, 1461, 539, 282, 51946, 927, 14689, 3314, 11, 719, 358, 2610, 369, 1461, 311, 387, 16945, 922, 682, 7620, 13, 578, 10672, 449, 279, 62140, 5683, 7274, 574, 279, 11813, 315, 279, 10054, 10481, 13, 2650, 1587, 459, 18738, 636, 389, 5426, 11333, 323, 2019, 430, 912, 15538, 20927, 1288, 2586, 311, 14689, 3314, 320, 576, 1306, 264, 12845, 2403, 20660, 3314, 12106, 358, 1541, 956, 2512, 422, 433, 574, 6385, 22493, 477, 97623, 20462, 11, 430, 374, 73011, 653, 66886, 323, 433, 374, 34446, 311, 264, 2068, 13, 11697, 568, 76035, 2019, 4205, 1093, 430, 922, 904, 1023, 2068, 8994, 1063, 1023, 7620, 20558, 520, 3115, 30, 2360, 13, 2650, 922, 994, 568, 374, 2133, 389, 323, 389, 922, 3249, 74514, 269, 1288, 733, 311, 14972, 4619, 315, 14689, 3314, 30, 358, 617, 2646, 6755, 1461, 3137, 922, 904, 1023, 20927, 323, 264, 3230, 2978, 568, 1288, 733, 311, 13, 5112, 311, 1948, 433, 682, 1022, 568, 2795, 11, 330, 456, 5644, 369, 68529, 62140, 5683, 279, 35861, 1, 1306, 568, 42635, 13, 1442, 568, 5900, 311, 14972, 477, 13813, 3314, 358, 649, 15803, 499, 568, 1053, 539, 617, 1071, 430, 323, 1053, 617, 8208, 389, 922, 1268, 568, 574, 279, 4832, 5052, 369, 14972, 11, 719, 539, 6420, 904, 3752, 10742, 627, 4438, 922, 279, 1708, 21781, 20904, 80065, 555, 18609, 72, 45, 430, 4024, 389, 323, 389, 449, 80304, 4811, 10234, 35492, 323, 53159, 352, 320, 8370, 279, 34260, 1766, 539, 837, 8, 323, 1243, 20536, 350, 676, 301, 1288, 387, 14219, 13, 6385, 22493, 11, 4619, 315, 29269, 259, 3204, 52, 323, 8405, 264, 2204, 59485, 11, 7378, 389, 279, 3805, 13, 24586, 311, 430, 80065, 11, 25871, 4323, 7420, 1047, 311, 4498, 389, 813, 20827, 4216, 13, 11208, 374, 279, 18609, 72, 45, 10401, 315, 1023, 69129, 520, 1023, 8853, 323, 279, 6880, 369, 2010, 24909, 311, 387, 14219, 369, 1380, 2542, 919, 1606, 315, 264, 4040, 2851, 30, 358, 1541, 956, 6865, 8563, 9259, 477, 22010, 28263, 94469, 5605, 279, 2574, 6385, 22493, 1587, 323, 814, 1541, 956, 282, 6513, 927, 14689, 3314, 3060, 13, 6385, 22493, 374, 2103, 4885, 449, 4311, 505, 279, 24421, 11639, 1093, 41780, 323, 3885, 11, 719, 279, 4311, 430, 2586, 704, 315, 279, 350, 676, 301, 11639, 527, 19781, 315, 813, 5817, 35255, 323, 8951, 389, 14689, 3314, 13, 3277, 4311, 6865, 5606, 15320, 293, 19587, 279, 2068, 1418, 814, 527, 304, 2978, 499, 690, 3139, 311, 12491, 1461, 13, 1115, 4536, 956, 4423, 4560, 311, 1304, 264, 35732, 304, 279, 2254, 3772, 13, 1115, 374, 18609, 72, 45, 323, 26907, 18609, 72, 45, 374, 32549, 449, 1579, 2978, 56197, 13, 1283, 2766, 279, 1450, 279, 23114, 1461, 4216, 555, 1701, 813, 330, 19521, 1, 2704, 311, 636, 4871, 2038, 323, 1243, 35732, 433, 389, 18609, 72, 45, 13, 2052, 584, 2610, 374, 430, 568, 387, 16945, 449, 682, 7411, 627, 68392, 11, 602, 1120, 3782, 927, 1618, 449, 279, 14944, 315, 17437, 420, 4652, 13, 1695, 1373, 11, 19932, 51447, 7189, 1541, 956, 1440, 1268, 568, 649, 955, 1131, 3250, 956, 279, 15975, 1169, 636, 304, 279, 1648, 48469, 791, 3229, 315, 430, 5117, 13524, 13919, 27290, 374, 7294, 12, 26629, 323, 7294, 6354, 2969, 304, 4689, 13, 14968, 11, 358, 3077, 1373, 11510, 315, 3885, 889, 6612, 430, 27290, 574, 5076, 369, 85448, 287, 279, 22370, 682, 1566, 1060, 994, 433, 3782, 311, 7926, 9141, 13, 763, 2144, 11, 358, 1373, 264, 2763, 315, 1274, 53170, 922, 279, 27290, 3021, 2269, 478, 369, 279, 22370, 1566, 1060, 13, 58072, 956, 27290, 1120, 13195, 279, 12531, 4140, 320, 43069, 6296, 13, 8868, 8, 315, 279, 9784, 480, 3046, 30, 358, 2846, 539, 264, 2466, 27290, 49307, 11, 779, 433, 1053, 387, 7185, 311, 1440, 1148, 1023, 2068, 814, 617, 430, 2884, 430, 369, 627, 22111, 1373, 13, 3861, 3488, 9522, 25503, 420, 4652, 11, 358, 13942, 279, 4459, 6385, 25604, 265, 275, 30102, 709, 323, 1523, 3245, 994, 10293, 52, 10837, 1203, 279, 28816, 2403, 9784, 13, 2209, 430, 2216, 837, 5380, 56, 12791, 11, 358, 617, 2646, 6755, 922, 420, 7182, 11, 539, 311, 2019, 433, 70058, 837, 627, 128001, 128000, 3957, 420, 2027, 3477, 6928, 30, 11106, 25, 9503, 4276, 8049, 10245, 46761, 4393, 45056, 8796, 3378, 10506, 25, 358, 11021, 279, 45092, 2068, 369, 832, 7895, 323, 78976, 11888, 48434, 323, 433, 4375, 369, 51569, 13, 12557, 2532, 374, 1384, 52221, 13, 2435, 1511, 311, 387, 1695, 323, 4320, 701, 4860, 11, 719, 1457, 1202, 1093, 814, 4024, 704, 315, 2626, 11, 323, 8101, 1148, 7752, 11, 422, 814, 733, 704, 11, 779, 1587, 701, 2068, 11, 912, 10163, 13, 2052, 270, 1291, 7620, 617, 264, 4641, 2162, 311, 1817, 311, 1518, 422, 701, 3048, 374, 15933, 323, 422, 433, 5334, 912, 7838, 433, 89678, 433, 1523, 13, 3011, 374, 1405, 358, 1097, 520, 13, 2435, 15890, 4320, 279, 4641, 477, 14633, 13, 5000, 79921, 374, 7554, 304, 1957, 13, 10291, 1457, 358, 1097, 11039, 449, 1124, 1555, 279, 2731, 2626, 22555, 323, 814, 527, 406, 19762, 311, 1520, 520, 682, 13, 1102, 3952, 279, 95558, 311, 636, 1124, 311, 6013, 520, 682, 37951, 18403, 323, 15890, 636, 4205, 505, 5000, 38, 4664, 439, 499, 690, 387, 2163, 10168, 279, 9145, 13, 22559, 512, 791, 4320, 374, 512, 2822, 128001 ]
[ -100, 72121, 304, 364, 791, 36845, 596, 9973, 6, 3940, 555, 84349, 36845, 11, 5186, 220, 975, 11, 220, 1049, 23, 627, 15571, 5403, 369, 1455, 22370, 7359, 627, 15335, 1285, 6710, 13, 358, 2846, 2133, 704, 389, 264, 48694, 323, 47576, 420, 7564, 2834, 956, 387, 3318, 369, 27290, 904, 892, 5246, 13, 358, 2846, 539, 2771, 6385, 25604, 265, 275, 374, 439, 48761, 439, 568, 1071, 11, 719, 568, 2771, 1903, 264, 1695, 1162, 13, 1102, 574, 6555, 311, 1518, 433, 636, 17551, 704, 304, 1194, 627, 2460, 430, 16038, 11, 358, 2103, 649, 956, 29011, 922, 279, 10401, 65512, 2751, 1566, 1060, 11, 3582, 3892, 1023, 8571, 23963, 4762, 649, 13, 358, 1781, 584, 2751, 264, 2763, 315, 6928, 1514, 13, 358, 3287, 956, 15763, 1268, 814, 20186, 389, 36303, 1524, 1306, 568, 1903, 433, 2867, 568, 5828, 956, 2133, 11, 719, 47781, 11, 20156, 31878, 11, 779, 814, 1120, 9087, 1893, 264, 2697, 13, 2435, 527, 304, 2626, 311, 11894, 1057, 1633, 2678, 6666, 45395, 627, 2675, 649, 15803, 584, 690, 6865, 11510, 922, 1148, 264, 330, 376, 5599, 839, 3995, 893, 1, 42561, 374, 994, 1057, 3953, 527, 76710, 11, 323, 430, 690, 636, 2362, 11, 719, 42561, 690, 1120, 617, 311, 9495, 1124, 709, 11, 1120, 1093, 36303, 1550, 627, 40, 1541, 956, 1440, 13, 1115, 6392, 82454, 757, 2753, 323, 2753, 13, 1442, 1023, 8571, 23963, 527, 30571, 3403, 311, 4510, 4395, 814, 1373, 922, 603, 11, 889, 454, 23770, 2689, 13, 358, 690, 1120, 2567, 22128, 36303, 40294, 682, 872, 719, 2641, 627, 2170, 369, 11462, 300, 11, 1886, 81, 6385, 22493, 11, 568, 374, 29055, 2536, 1099, 460, 311, 264, 2763, 315, 4846, 4311, 323, 279, 51506, 6011, 13, 1102, 3940, 304, 364, 2839, 994, 6385, 22493, 4024, 4920, 350, 676, 301, 596, 323, 4323, 7420, 596, 1203, 323, 4024, 2403, 872, 7540, 323, 30147, 62140, 5683, 3974, 389, 480, 3690, 352, 320, 39231, 1847, 8, 2085, 5606, 596, 8041, 505, 279, 9827, 13, 3011, 574, 279, 1212, 315, 264, 73779, 5133, 1990, 6385, 22493, 323, 14689, 3314, 323, 433, 706, 17454, 72859, 11201, 627, 40, 1541, 956, 2512, 922, 1461, 539, 282, 51946, 927, 14689, 3314, 11, 719, 358, 2610, 369, 1461, 311, 387, 16945, 922, 682, 7620, 13, 578, 10672, 449, 279, 62140, 5683, 7274, 574, 279, 11813, 315, 279, 10054, 10481, 13, 2650, 1587, 459, 18738, 636, 389, 5426, 11333, 323, 2019, 430, 912, 15538, 20927, 1288, 2586, 311, 14689, 3314, 320, 576, 1306, 264, 12845, 2403, 20660, 3314, 12106, 358, 1541, 956, 2512, 422, 433, 574, 6385, 22493, 477, 97623, 20462, 11, 430, 374, 73011, 653, 66886, 323, 433, 374, 34446, 311, 264, 2068, 13, 11697, 568, 76035, 2019, 4205, 1093, 430, 922, 904, 1023, 2068, 8994, 1063, 1023, 7620, 20558, 520, 3115, 30, 2360, 13, 2650, 922, 994, 568, 374, 2133, 389, 323, 389, 922, 3249, 74514, 269, 1288, 733, 311, 14972, 4619, 315, 14689, 3314, 30, 358, 617, 2646, 6755, 1461, 3137, 922, 904, 1023, 20927, 323, 264, 3230, 2978, 568, 1288, 733, 311, 13, 5112, 311, 1948, 433, 682, 1022, 568, 2795, 11, 330, 456, 5644, 369, 68529, 62140, 5683, 279, 35861, 1, 1306, 568, 42635, 13, 1442, 568, 5900, 311, 14972, 477, 13813, 3314, 358, 649, 15803, 499, 568, 1053, 539, 617, 1071, 430, 323, 1053, 617, 8208, 389, 922, 1268, 568, 574, 279, 4832, 5052, 369, 14972, 11, 719, 539, 6420, 904, 3752, 10742, 627, 4438, 922, 279, 1708, 21781, 20904, 80065, 555, 18609, 72, 45, 430, 4024, 389, 323, 389, 449, 80304, 4811, 10234, 35492, 323, 53159, 352, 320, 8370, 279, 34260, 1766, 539, 837, 8, 323, 1243, 20536, 350, 676, 301, 1288, 387, 14219, 13, 6385, 22493, 11, 4619, 315, 29269, 259, 3204, 52, 323, 8405, 264, 2204, 59485, 11, 7378, 389, 279, 3805, 13, 24586, 311, 430, 80065, 11, 25871, 4323, 7420, 1047, 311, 4498, 389, 813, 20827, 4216, 13, 11208, 374, 279, 18609, 72, 45, 10401, 315, 1023, 69129, 520, 1023, 8853, 323, 279, 6880, 369, 2010, 24909, 311, 387, 14219, 369, 1380, 2542, 919, 1606, 315, 264, 4040, 2851, 30, 358, 1541, 956, 6865, 8563, 9259, 477, 22010, 28263, 94469, 5605, 279, 2574, 6385, 22493, 1587, 323, 814, 1541, 956, 282, 6513, 927, 14689, 3314, 3060, 13, 6385, 22493, 374, 2103, 4885, 449, 4311, 505, 279, 24421, 11639, 1093, 41780, 323, 3885, 11, 719, 279, 4311, 430, 2586, 704, 315, 279, 350, 676, 301, 11639, 527, 19781, 315, 813, 5817, 35255, 323, 8951, 389, 14689, 3314, 13, 3277, 4311, 6865, 5606, 15320, 293, 19587, 279, 2068, 1418, 814, 527, 304, 2978, 499, 690, 3139, 311, 12491, 1461, 13, 1115, 4536, 956, 4423, 4560, 311, 1304, 264, 35732, 304, 279, 2254, 3772, 13, 1115, 374, 18609, 72, 45, 323, 26907, 18609, 72, 45, 374, 32549, 449, 1579, 2978, 56197, 13, 1283, 2766, 279, 1450, 279, 23114, 1461, 4216, 555, 1701, 813, 330, 19521, 1, 2704, 311, 636, 4871, 2038, 323, 1243, 35732, 433, 389, 18609, 72, 45, 13, 2052, 584, 2610, 374, 430, 568, 387, 16945, 449, 682, 7411, 627, 68392, 11, 602, 1120, 3782, 927, 1618, 449, 279, 14944, 315, 17437, 420, 4652, 13, 1695, 1373, 11, 19932, 51447, 7189, 1541, 956, 1440, 1268, 568, 649, 955, 1131, 3250, 956, 279, 15975, 1169, 636, 304, 279, 1648, 48469, 791, 3229, 315, 430, 5117, 13524, 13919, 27290, 374, 7294, 12, 26629, 323, 7294, 6354, 2969, 304, 4689, 13, 14968, 11, 358, 3077, 1373, 11510, 315, 3885, 889, 6612, 430, 27290, 574, 5076, 369, 85448, 287, 279, 22370, 682, 1566, 1060, 994, 433, 3782, 311, 7926, 9141, 13, 763, 2144, 11, 358, 1373, 264, 2763, 315, 1274, 53170, 922, 279, 27290, 3021, 2269, 478, 369, 279, 22370, 1566, 1060, 13, 58072, 956, 27290, 1120, 13195, 279, 12531, 4140, 320, 43069, 6296, 13, 8868, 8, 315, 279, 9784, 480, 3046, 30, 358, 2846, 539, 264, 2466, 27290, 49307, 11, 779, 433, 1053, 387, 7185, 311, 1440, 1148, 1023, 2068, 814, 617, 430, 2884, 430, 369, 627, 22111, 1373, 13, 3861, 3488, 9522, 25503, 420, 4652, 11, 358, 13942, 279, 4459, 6385, 25604, 265, 275, 30102, 709, 323, 1523, 3245, 994, 10293, 52, 10837, 1203, 279, 28816, 2403, 9784, 13, 2209, 430, 2216, 837, 5380, 56, 12791, 11, 358, 617, 2646, 6755, 922, 420, 7182, 11, 539, 311, 2019, 433, 70058, 837, 627, 128001, -100, 3957, 420, 2027, 3477, 6928, 30, 11106, 25, 9503, 4276, 8049, 10245, 46761, 4393, 45056, 8796, 3378, 10506, 25, 358, 11021, 279, 45092, 2068, 369, 832, 7895, 323, 78976, 11888, 48434, 323, 433, 4375, 369, 51569, 13, 12557, 2532, 374, 1384, 52221, 13, 2435, 1511, 311, 387, 1695, 323, 4320, 701, 4860, 11, 719, 1457, 1202, 1093, 814, 4024, 704, 315, 2626, 11, 323, 8101, 1148, 7752, 11, 422, 814, 733, 704, 11, 779, 1587, 701, 2068, 11, 912, 10163, 13, 2052, 270, 1291, 7620, 617, 264, 4641, 2162, 311, 1817, 311, 1518, 422, 701, 3048, 374, 15933, 323, 422, 433, 5334, 912, 7838, 433, 89678, 433, 1523, 13, 3011, 374, 1405, 358, 1097, 520, 13, 2435, 15890, 4320, 279, 4641, 477, 14633, 13, 5000, 79921, 374, 7554, 304, 1957, 13, 10291, 1457, 358, 1097, 11039, 449, 1124, 1555, 279, 2731, 2626, 22555, 323, 814, 527, 406, 19762, 311, 1520, 520, 682, 13, 1102, 3952, 279, 95558, 311, 636, 1124, 311, 6013, 520, 682, 37951, 18403, 323, 15890, 636, 4205, 505, 5000, 38, 4664, 439, 499, 690, 387, 2163, 10168, 279, 9145, 13, 22559, 512, 791, 4320, 374, 512, 2822, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 ]
[ 128000, 1687, 617, 2728, 264, 14470, 17879, 17219, 311, 1054, 23392, 439, 264, 1917, 4221, 11453, 18715, 584, 617, 12146, 311, 5357, 389, 1120, 1063, 13878, 315, 1063, 315, 279, 1455, 1664, 22015, 6498, 62290, 5961, 627, 2028, 8712, 374, 9193, 14791, 369, 20806, 45172, 3495, 5961, 323, 13878, 315, 5961, 430, 814, 527, 8173, 304, 627, 12, 1304, 264, 2007, 27393, 3892, 6498, 62290, 5961, 449, 5363, 311, 3738, 13878, 320, 2190, 11, 7187, 11, 5099, 29275, 12, 2035, 279, 5961, 323, 872, 6864, 9919, 389, 264, 2472, 315, 279, 1917, 198, 12, 6667, 1054, 33274, 46083, 863, 505, 1023, 6498, 62290, 5961, 11, 369, 3187, 1618, 25, 18588, 14438, 72827, 198, 12, 3041, 264, 15864, 389, 264, 1664, 22015, 1732, 505, 459, 6498, 62290, 3224, 198, 12, 8356, 264, 1495, 389, 459, 6498, 62290, 3224, 198, 12, 3041, 264, 2875, 15864, 389, 279, 1925, 1510, 2254, 7493, 304, 459, 6498, 62290, 3224, 13, 5810, 527, 1690, 315, 279, 1917, 753, 2930, 32594, 13, 5810, 374, 279, 6560, 14002, 13, 128001, 128000, 6, 12484, 6, 39004, 374, 1043, 95657, 482, 430, 596, 1405, 279, 8857, 315, 279, 12248, 4131, 505, 11, 439, 433, 18808, 279, 5222, 22881, 33723, 3214, 942, 292, 37768, 706, 2753, 315, 264, 6900, 4920, 433, 11, 779, 279, 17889, 3250, 956, 5944, 439, 5043, 11, 323, 3250, 956, 35718, 279, 5222, 22881, 13, 220, 3277, 19167, 449, 264, 1695, 28321, 269, 433, 649, 387, 1633, 11594, 13118, 382, 40, 14000, 279, 17889, 6068, 304, 15116, 54, 311, 387, 5115, 15748, 482, 311, 279, 1486, 433, 574, 30931, 757, 264, 2766, 13, 220, 1102, 5828, 956, 3156, 279, 13746, 1047, 8220, 430, 358, 41193, 420, 1253, 387, 311, 656, 449, 3515, 264, 28321, 269, 19167, 13, 256, 358, 5895, 422, 994, 499, 26458, 264, 28321, 269, 11, 499, 2351, 1101, 8441, 1207, 942, 292, 37768, 27074, 220, 38994, 430, 596, 279, 1162, 11, 323, 15100, 279, 15748, 17889, 6068, 382, 13246, 358, 1071, 11, 358, 3287, 956, 39256, 3156, 1306, 11, 779, 9167, 956, 12793, 17889, 6068, 56089, 6296, 653, 59615, 14655, 27046, 128001, 128000, 55132, 575, 7569, 7710, 16964, 279, 7000, 447, 46780, 11, 34356, 11633, 315, 40646, 323, 48291, 11684, 19252, 311, 6106, 430, 5419, 9249, 5151, 7293, 2678, 13, 1102, 374, 17037, 27979, 304, 279, 87836, 4029, 1405, 279, 11633, 315, 13937, 57678, 323, 20349, 34738, 323, 55517, 3871, 627, 3923, 374, 9049, 575, 7569, 87836, 5380, 10614, 13, 9049, 575, 7569, 87836, 13, 264, 3769, 902, 1587, 539, 3113, 3060, 308, 10827, 11, 477, 281, 10827, 98971, 13, 25685, 87836, 13, 294, 16771, 87836, 16850, 12742, 98971, 955, 25, 308, 11, 477, 281, 627, 4438, 656, 499, 1005, 9049, 575, 7569, 304, 264, 11914, 5380, 3042, 575, 7569, 304, 264, 11914, 198, 12, 35390, 3495, 304, 17808, 31591, 706, 6982, 430, 14221, 7414, 25977, 374, 459, 9049, 575, 7569, 17808, 87836, 627, 12, 20423, 575, 7569, 3445, 430, 279, 9249, 6900, 374, 40460, 555, 2225, 40646, 11684, 74633, 12329, 304, 8590, 1152, 1572, 36634, 627, 3923, 374, 9049, 575, 7569, 58430, 36706, 5380, 1687, 1505, 430, 279, 58430, 36706, 374, 16168, 430, 315, 279, 65125, 56016, 555, 279, 11595, 315, 17130, 323, 28772, 20472, 13, 578, 3722, 355, 1968, 315, 279, 65125, 690, 387, 315, 4528, 26703, 311, 430, 315, 21277, 35715, 13, 14636, 13579, 2819, 315, 9049, 575, 7569, 3722, 355, 1968, 527, 220, 8652, 15, 311, 220, 11711, 15, 10166, 17, 61171, 520, 220, 16, 8611, 81, 627, 3923, 1587, 18276, 4978, 48083, 3258, 9526, 4284, 5380, 644, 87836, 22027, 11, 279, 18276, 4978, 4235, 87649, 3258, 9526, 574, 459, 9526, 430, 21091, 430, 58430, 315, 23413, 35991, 304, 264, 87836, 1436, 1121, 304, 264, 1510, 13, 578, 9526, 649, 387, 1511, 311, 6767, 19115, 31139, 11, 19115, 19569, 11, 323, 58430, 36706, 627, 3923, 374, 13937, 17130, 20545, 5380, 849, 1140, 57678, 304, 279, 390, 23985, 7200, 323, 13937, 20349, 304, 279, 1062, 768, 7200, 1253, 3073, 304, 5369, 311, 279, 29487, 63359, 46780, 32466, 422, 459, 9434, 3521, 7709, 374, 9435, 311, 279, 87836, 13, 578, 9886, 315, 13937, 57678, 323, 20349, 3445, 430, 279, 87836, 374, 912, 5129, 304, 29487, 56411, 627, 3923, 374, 279, 32426, 1614, 315, 5030, 5380, 2169, 23390, 374, 3629, 2663, 1054, 1820, 11999, 1614, 315, 5030, 2476, 3235, 449, 6573, 11, 14812, 323, 6962, 13, 4702, 439, 264, 14812, 690, 44790, 11, 10223, 1139, 264, 6962, 994, 4907, 374, 3779, 11, 24494, 264, 6962, 690, 1376, 264, 32426, 1389, 264, 19724, 315, 40646, 11684, 19252, 320, 919, 8, 323, 48291, 11684, 19252, 320, 19493, 26692, 4390, 4438, 656, 499, 1505, 279, 58430, 6926, 5380, 22499, 7713, 36706, 374, 279, 21801, 2786, 8331, 423, 304, 435, 875, 753, 2383, 320, 4151, 29469, 7713, 8, 555, 902, 279, 3148, 315, 264, 20278, 294, 44, 3722, 985, 304, 892, 7748, 1555, 279, 7479, 294, 37, 4725, 311, 279, 58430, 5216, 374, 55272, 311, 279, 20545, 20779, 6117, 272, 315, 420, 20278, 25, 294, 44, 284, 25173, 35, 6117, 272, 294, 37, 7748, 627, 3923, 374, 13937, 23413, 19115, 20545, 5380, 4599, 264, 281, 5392, 503, 2720, 374, 4741, 48761, 11, 23413, 35991, 527, 41772, 1139, 279, 5347, 1965, 1076, 1105, 389, 279, 1403, 11314, 315, 279, 49341, 13, 5810, 70434, 77, 374, 279, 13937, 23413, 17130, 20545, 389, 279, 281, 25034, 315, 279, 49341, 323, 70434, 79, 374, 279, 13937, 23413, 14512, 20545, 389, 279, 308, 25034, 315, 279, 49341, 627, 3923, 374, 1469, 955, 87836, 5380, 32, 281, 10827, 87836, 374, 459, 11741, 28692, 955, 315, 87836, 13, 3277, 264, 490, 12031, 3242, 5631, 320, 4908, 23768, 263, 11, 46953, 5099, 6266, 374, 3779, 311, 459, 47701, 477, 10748, 87836, 320, 35904, 1965, 477, 43627, 2411, 705, 433, 374, 1071, 311, 387, 264, 281, 10827, 87836, 13, 362, 281, 10827, 87836, 706, 810, 20349, 1109, 57678, 627, 3923, 374, 452, 955, 87836, 3769, 5380, 2127, 308, 10827, 87836, 374, 459, 47701, 87836, 294, 16771, 449, 33088, 30969, 320, 47, 705, 87364, 292, 320, 2170, 705, 477, 3276, 65556, 320, 50, 65, 8, 439, 459, 3242, 5631, 13, 38250, 315, 5856, 17244, 706, 3116, 1062, 768, 57678, 323, 33088, 30969, 315, 5856, 650, 706, 4330, 1062, 768, 57678, 627, 3957, 32426, 264, 18200, 5380, 32, 32426, 374, 459, 9249, 750, 11684, 6962, 13, 763, 264, 32426, 11, 1063, 57678, 617, 1027, 37779, 3201, 505, 872, 33299, 13, 9393, 279, 19252, 320, 19493, 26692, 323, 65125, 8, 304, 264, 32426, 617, 459, 20314, 6900, 11, 279, 54245, 323, 28198, 315, 628, 300, 7044, 527, 11754, 555, 20314, 323, 24924, 5151, 627, 3923, 1933, 374, 279, 32426, 5380, 28969, 20671, 32426, 374, 279, 14071, 14812, 3777, 315, 6680, 11, 304, 902, 279, 6680, 7917, 304, 4459, 6680, 527, 14614, 22340, 13, 578, 1933, 315, 279, 32426, 35327, 33452, 505, 832, 6205, 311, 2500, 505, 20025, 14071, 311, 6453, 14071, 323, 7170, 449, 264, 14198, 11, 19087, 477, 6307, 259, 18177, 510, 22804, 220, 16, 64, 60, 1101, 627, 3957, 32426, 264, 14812, 5380, 32, 32426, 374, 264, 15962, 11, 1093, 264, 14812, 477, 6962, 11, 719, 1606, 315, 279, 11684, 19252, 3118, 304, 264, 32426, 11, 433, 31680, 311, 323, 27983, 25396, 1474, 39100, 8603, 627, 4438, 1587, 23899, 7958, 58430, 5380, 1271, 5552, 420, 7645, 311, 279, 1404, 315, 6962, 19252, 584, 649, 2019, 430, 11493, 1404, 19252, 690, 15575, 1579, 296, 7569, 3148, 13, 15636, 11, 584, 649, 32194, 430, 11493, 30387, 19252, 320, 89945, 19252, 8, 690, 55517, 29493, 1109, 30673, 19252, 627, 4438, 1587, 10801, 7958, 58430, 5380, 57611, 449, 264, 9333, 17055, 22269, 10801, 617, 8294, 58430, 6926, 719, 43383, 16628, 449, 279, 26436, 1418, 8294, 19252, 617, 9333, 58430, 6926, 719, 16643, 16628, 449, 279, 26436, 627, 3923, 374, 55424, 2968, 36706, 5380, 32, 47616, 6767, 315, 279, 4478, 520, 902, 264, 43030, 649, 5425, 264, 39654, 1778, 439, 264, 68700, 20934, 1155, 26, 13605, 304, 8316, 315, 10166, 2754, 323, 6273, 311, 279, 58430, 36706, 18255, 555, 279, 2430, 315, 279, 39654, 627, 3923, 374, 279, 56411, 14512, 20545, 5380, 791, 1396, 315, 35991, 304, 279, 390, 23985, 323, 1062, 768, 7200, 449, 912, 69442, 9435, 15837, 374, 2663, 279, 56411, 19115, 20545, 13, 1789, 8857, 35991, 11, 279, 56411, 19115, 20545, 374, 6273, 311, 279, 47701, 19115, 20545, 5636, 279, 1396, 315, 1949, 35991, 3779, 555, 97928, 279, 87836, 627, 4438, 656, 499, 11294, 19115, 20545, 5380, 791, 2027, 315, 279, 8857, 323, 23413, 19115, 20545, 520, 56411, 374, 264, 6926, 11, 902, 374, 7033, 336, 7167, 13605, 555, 279, 7658, 315, 9346, 5703, 13, 308, 56809, 284, 13080, 17, 1405, 13080, 25, 374, 279, 47701, 19115, 20545, 308, 15, 25, 17130, 56411, 19115, 32466, 627, 3923, 374, 279, 56411, 14512, 20545, 520, 220, 3101, 74, 5380, 791, 29487, 56411, 14512, 20545, 304, 51692, 520, 350, 284, 220, 3101, 735, 374, 281, 15, 284, 220, 17, 25800, 220, 6550, 10166, 34363, 18, 627, 11787, 281, 10827, 5347, 1965, 1076, 1105, 5380, 79, 10827, 323, 308, 10827, 7384, 527, 5042, 5347, 1965, 1076, 1105, 11, 1778, 439, 51692, 320, 22771, 8, 477, 43627, 2411, 320, 9688, 705, 449, 25524, 3242, 38333, 26, 279, 955, 315, 3242, 5631, 3118, 27667, 279, 955, 315, 279, 87836, 627, 10445, 20349, 527, 3549, 304, 281, 10827, 87836, 5380, 75790, 13, 393, 10827, 320, 2000, 13937, 6928, 10405, 8, 51692, 3135, 422, 279, 27420, 519, 374, 32732, 263, 11, 902, 5727, 832, 17130, 17162, 1109, 264, 51692, 19670, 13, 9062, 3779, 32732, 263, 19670, 11705, 264, 48294, 315, 832, 17130, 41128, 374, 11, 264, 6928, 14512, 627, 4438, 20349, 527, 3549, 304, 308, 10827, 87836, 5380, 45, 10827, 5347, 1965, 1076, 1105, 527, 3549, 555, 97928, 459, 47701, 87836, 449, 459, 17130, 35558, 2449, 2391, 30847, 13, 578, 4751, 308, 10827, 4131, 505, 279, 8389, 6900, 315, 279, 17130, 13, 763, 308, 10827, 5347, 1965, 1076, 1105, 11, 57678, 527, 279, 8857, 35991, 323, 20349, 527, 279, 23413, 35991, 627, 4438, 656, 499, 1440, 422, 955, 374, 452, 477, 281, 5380, 791, 30689, 1053, 387, 50790, 1376, 279, 39445, 2007, 13, 1442, 279, 27420, 519, 706, 810, 57678, 304, 279, 16335, 12811, 1109, 279, 87836, 3769, 11, 433, 753, 2133, 311, 387, 308, 10827, 11, 323, 449, 2753, 57678, 304, 279, 16335, 12811, 11, 433, 753, 281, 10827, 627, 4438, 452, 10827, 5347, 1965, 1076, 1105, 527, 1766, 5380, 32, 452, 10827, 87836, 374, 3549, 555, 97928, 420, 10748, 51692, 26110, 55372, 449, 264, 20801, 22510, 306, 3242, 5631, 2449, 1093, 6898, 65556, 320, 50, 65, 570, 763, 459, 452, 10827, 87836, 279, 19670, 315, 20801, 22510, 306, 3242, 5631, 2449, 6898, 65556, 320, 50, 65, 8, 374, 304, 1990, 51692, 33299, 13, 578, 38250, 33299, 617, 3116, 57678, 304, 279, 1062, 768, 12811, 627, 4438, 281, 323, 308, 10827, 5347, 1965, 1076, 1105, 527, 14454, 5380, 77, 10827, 323, 281, 10827, 5347, 1965, 1076, 1105, 527, 14454, 555, 279, 1920, 315, 97928, 279, 10748, 48473, 1093, 38250, 11, 6063, 2411, 1174, 5099, 2637, 449, 20801, 22510, 306, 323, 490, 12031, 5540, 13, 72387, 25, 3277, 20801, 22510, 306, 19670, 294, 16771, 449, 12095, 1174, 3116, 33299, 505, 20801, 22510, 306, 19670, 690, 35526, 449, 51692, 323, 832, 8625, 63557, 6965, 449, 279, 2748, 19670, 13, 128001 ]
[ -100, 1687, 617, 2728, 264, 14470, 17879, 17219, 311, 1054, 23392, 439, 264, 1917, 4221, 11453, 18715, 584, 617, 12146, 311, 5357, 389, 1120, 1063, 13878, 315, 1063, 315, 279, 1455, 1664, 22015, 6498, 62290, 5961, 627, 2028, 8712, 374, 9193, 14791, 369, 20806, 45172, 3495, 5961, 323, 13878, 315, 5961, 430, 814, 527, 8173, 304, 627, 12, 1304, 264, 2007, 27393, 3892, 6498, 62290, 5961, 449, 5363, 311, 3738, 13878, 320, 2190, 11, 7187, 11, 5099, 29275, 12, 2035, 279, 5961, 323, 872, 6864, 9919, 389, 264, 2472, 315, 279, 1917, 198, 12, 6667, 1054, 33274, 46083, 863, 505, 1023, 6498, 62290, 5961, 11, 369, 3187, 1618, 25, 18588, 14438, 72827, 198, 12, 3041, 264, 15864, 389, 264, 1664, 22015, 1732, 505, 459, 6498, 62290, 3224, 198, 12, 8356, 264, 1495, 389, 459, 6498, 62290, 3224, 198, 12, 3041, 264, 2875, 15864, 389, 279, 1925, 1510, 2254, 7493, 304, 459, 6498, 62290, 3224, 13, 5810, 527, 1690, 315, 279, 1917, 753, 2930, 32594, 13, 5810, 374, 279, 6560, 14002, 13, 128001, -100, 6, 12484, 6, 39004, 374, 1043, 95657, 482, 430, 596, 1405, 279, 8857, 315, 279, 12248, 4131, 505, 11, 439, 433, 18808, 279, 5222, 22881, 33723, 3214, 942, 292, 37768, 706, 2753, 315, 264, 6900, 4920, 433, 11, 779, 279, 17889, 3250, 956, 5944, 439, 5043, 11, 323, 3250, 956, 35718, 279, 5222, 22881, 13, 220, 3277, 19167, 449, 264, 1695, 28321, 269, 433, 649, 387, 1633, 11594, 13118, 382, 40, 14000, 279, 17889, 6068, 304, 15116, 54, 311, 387, 5115, 15748, 482, 311, 279, 1486, 433, 574, 30931, 757, 264, 2766, 13, 220, 1102, 5828, 956, 3156, 279, 13746, 1047, 8220, 430, 358, 41193, 420, 1253, 387, 311, 656, 449, 3515, 264, 28321, 269, 19167, 13, 256, 358, 5895, 422, 994, 499, 26458, 264, 28321, 269, 11, 499, 2351, 1101, 8441, 1207, 942, 292, 37768, 27074, 220, 38994, 430, 596, 279, 1162, 11, 323, 15100, 279, 15748, 17889, 6068, 382, 13246, 358, 1071, 11, 358, 3287, 956, 39256, 3156, 1306, 11, 779, 9167, 956, 12793, 17889, 6068, 56089, 6296, 653, 59615, 14655, 27046, 128001, -100, 55132, 575, 7569, 7710, 16964, 279, 7000, 447, 46780, 11, 34356, 11633, 315, 40646, 323, 48291, 11684, 19252, 311, 6106, 430, 5419, 9249, 5151, 7293, 2678, 13, 1102, 374, 17037, 27979, 304, 279, 87836, 4029, 1405, 279, 11633, 315, 13937, 57678, 323, 20349, 34738, 323, 55517, 3871, 627, 3923, 374, 9049, 575, 7569, 87836, 5380, 10614, 13, 9049, 575, 7569, 87836, 13, 264, 3769, 902, 1587, 539, 3113, 3060, 308, 10827, 11, 477, 281, 10827, 98971, 13, 25685, 87836, 13, 294, 16771, 87836, 16850, 12742, 98971, 955, 25, 308, 11, 477, 281, 627, 4438, 656, 499, 1005, 9049, 575, 7569, 304, 264, 11914, 5380, 3042, 575, 7569, 304, 264, 11914, 198, 12, 35390, 3495, 304, 17808, 31591, 706, 6982, 430, 14221, 7414, 25977, 374, 459, 9049, 575, 7569, 17808, 87836, 627, 12, 20423, 575, 7569, 3445, 430, 279, 9249, 6900, 374, 40460, 555, 2225, 40646, 11684, 74633, 12329, 304, 8590, 1152, 1572, 36634, 627, 3923, 374, 9049, 575, 7569, 58430, 36706, 5380, 1687, 1505, 430, 279, 58430, 36706, 374, 16168, 430, 315, 279, 65125, 56016, 555, 279, 11595, 315, 17130, 323, 28772, 20472, 13, 578, 3722, 355, 1968, 315, 279, 65125, 690, 387, 315, 4528, 26703, 311, 430, 315, 21277, 35715, 13, 14636, 13579, 2819, 315, 9049, 575, 7569, 3722, 355, 1968, 527, 220, 8652, 15, 311, 220, 11711, 15, 10166, 17, 61171, 520, 220, 16, 8611, 81, 627, 3923, 1587, 18276, 4978, 48083, 3258, 9526, 4284, 5380, 644, 87836, 22027, 11, 279, 18276, 4978, 4235, 87649, 3258, 9526, 574, 459, 9526, 430, 21091, 430, 58430, 315, 23413, 35991, 304, 264, 87836, 1436, 1121, 304, 264, 1510, 13, 578, 9526, 649, 387, 1511, 311, 6767, 19115, 31139, 11, 19115, 19569, 11, 323, 58430, 36706, 627, 3923, 374, 13937, 17130, 20545, 5380, 849, 1140, 57678, 304, 279, 390, 23985, 7200, 323, 13937, 20349, 304, 279, 1062, 768, 7200, 1253, 3073, 304, 5369, 311, 279, 29487, 63359, 46780, 32466, 422, 459, 9434, 3521, 7709, 374, 9435, 311, 279, 87836, 13, 578, 9886, 315, 13937, 57678, 323, 20349, 3445, 430, 279, 87836, 374, 912, 5129, 304, 29487, 56411, 627, 3923, 374, 279, 32426, 1614, 315, 5030, 5380, 2169, 23390, 374, 3629, 2663, 1054, 1820, 11999, 1614, 315, 5030, 2476, 3235, 449, 6573, 11, 14812, 323, 6962, 13, 4702, 439, 264, 14812, 690, 44790, 11, 10223, 1139, 264, 6962, 994, 4907, 374, 3779, 11, 24494, 264, 6962, 690, 1376, 264, 32426, 1389, 264, 19724, 315, 40646, 11684, 19252, 320, 919, 8, 323, 48291, 11684, 19252, 320, 19493, 26692, 4390, 4438, 656, 499, 1505, 279, 58430, 6926, 5380, 22499, 7713, 36706, 374, 279, 21801, 2786, 8331, 423, 304, 435, 875, 753, 2383, 320, 4151, 29469, 7713, 8, 555, 902, 279, 3148, 315, 264, 20278, 294, 44, 3722, 985, 304, 892, 7748, 1555, 279, 7479, 294, 37, 4725, 311, 279, 58430, 5216, 374, 55272, 311, 279, 20545, 20779, 6117, 272, 315, 420, 20278, 25, 294, 44, 284, 25173, 35, 6117, 272, 294, 37, 7748, 627, 3923, 374, 13937, 23413, 19115, 20545, 5380, 4599, 264, 281, 5392, 503, 2720, 374, 4741, 48761, 11, 23413, 35991, 527, 41772, 1139, 279, 5347, 1965, 1076, 1105, 389, 279, 1403, 11314, 315, 279, 49341, 13, 5810, 70434, 77, 374, 279, 13937, 23413, 17130, 20545, 389, 279, 281, 25034, 315, 279, 49341, 323, 70434, 79, 374, 279, 13937, 23413, 14512, 20545, 389, 279, 308, 25034, 315, 279, 49341, 627, 3923, 374, 1469, 955, 87836, 5380, 32, 281, 10827, 87836, 374, 459, 11741, 28692, 955, 315, 87836, 13, 3277, 264, 490, 12031, 3242, 5631, 320, 4908, 23768, 263, 11, 46953, 5099, 6266, 374, 3779, 311, 459, 47701, 477, 10748, 87836, 320, 35904, 1965, 477, 43627, 2411, 705, 433, 374, 1071, 311, 387, 264, 281, 10827, 87836, 13, 362, 281, 10827, 87836, 706, 810, 20349, 1109, 57678, 627, 3923, 374, 452, 955, 87836, 3769, 5380, 2127, 308, 10827, 87836, 374, 459, 47701, 87836, 294, 16771, 449, 33088, 30969, 320, 47, 705, 87364, 292, 320, 2170, 705, 477, 3276, 65556, 320, 50, 65, 8, 439, 459, 3242, 5631, 13, 38250, 315, 5856, 17244, 706, 3116, 1062, 768, 57678, 323, 33088, 30969, 315, 5856, 650, 706, 4330, 1062, 768, 57678, 627, 3957, 32426, 264, 18200, 5380, 32, 32426, 374, 459, 9249, 750, 11684, 6962, 13, 763, 264, 32426, 11, 1063, 57678, 617, 1027, 37779, 3201, 505, 872, 33299, 13, 9393, 279, 19252, 320, 19493, 26692, 323, 65125, 8, 304, 264, 32426, 617, 459, 20314, 6900, 11, 279, 54245, 323, 28198, 315, 628, 300, 7044, 527, 11754, 555, 20314, 323, 24924, 5151, 627, 3923, 1933, 374, 279, 32426, 5380, 28969, 20671, 32426, 374, 279, 14071, 14812, 3777, 315, 6680, 11, 304, 902, 279, 6680, 7917, 304, 4459, 6680, 527, 14614, 22340, 13, 578, 1933, 315, 279, 32426, 35327, 33452, 505, 832, 6205, 311, 2500, 505, 20025, 14071, 311, 6453, 14071, 323, 7170, 449, 264, 14198, 11, 19087, 477, 6307, 259, 18177, 510, 22804, 220, 16, 64, 60, 1101, 627, 3957, 32426, 264, 14812, 5380, 32, 32426, 374, 264, 15962, 11, 1093, 264, 14812, 477, 6962, 11, 719, 1606, 315, 279, 11684, 19252, 3118, 304, 264, 32426, 11, 433, 31680, 311, 323, 27983, 25396, 1474, 39100, 8603, 627, 4438, 1587, 23899, 7958, 58430, 5380, 1271, 5552, 420, 7645, 311, 279, 1404, 315, 6962, 19252, 584, 649, 2019, 430, 11493, 1404, 19252, 690, 15575, 1579, 296, 7569, 3148, 13, 15636, 11, 584, 649, 32194, 430, 11493, 30387, 19252, 320, 89945, 19252, 8, 690, 55517, 29493, 1109, 30673, 19252, 627, 4438, 1587, 10801, 7958, 58430, 5380, 57611, 449, 264, 9333, 17055, 22269, 10801, 617, 8294, 58430, 6926, 719, 43383, 16628, 449, 279, 26436, 1418, 8294, 19252, 617, 9333, 58430, 6926, 719, 16643, 16628, 449, 279, 26436, 627, 3923, 374, 55424, 2968, 36706, 5380, 32, 47616, 6767, 315, 279, 4478, 520, 902, 264, 43030, 649, 5425, 264, 39654, 1778, 439, 264, 68700, 20934, 1155, 26, 13605, 304, 8316, 315, 10166, 2754, 323, 6273, 311, 279, 58430, 36706, 18255, 555, 279, 2430, 315, 279, 39654, 627, 3923, 374, 279, 56411, 14512, 20545, 5380, 791, 1396, 315, 35991, 304, 279, 390, 23985, 323, 1062, 768, 7200, 449, 912, 69442, 9435, 15837, 374, 2663, 279, 56411, 19115, 20545, 13, 1789, 8857, 35991, 11, 279, 56411, 19115, 20545, 374, 6273, 311, 279, 47701, 19115, 20545, 5636, 279, 1396, 315, 1949, 35991, 3779, 555, 97928, 279, 87836, 627, 4438, 656, 499, 11294, 19115, 20545, 5380, 791, 2027, 315, 279, 8857, 323, 23413, 19115, 20545, 520, 56411, 374, 264, 6926, 11, 902, 374, 7033, 336, 7167, 13605, 555, 279, 7658, 315, 9346, 5703, 13, 308, 56809, 284, 13080, 17, 1405, 13080, 25, 374, 279, 47701, 19115, 20545, 308, 15, 25, 17130, 56411, 19115, 32466, 627, 3923, 374, 279, 56411, 14512, 20545, 520, 220, 3101, 74, 5380, 791, 29487, 56411, 14512, 20545, 304, 51692, 520, 350, 284, 220, 3101, 735, 374, 281, 15, 284, 220, 17, 25800, 220, 6550, 10166, 34363, 18, 627, 11787, 281, 10827, 5347, 1965, 1076, 1105, 5380, 79, 10827, 323, 308, 10827, 7384, 527, 5042, 5347, 1965, 1076, 1105, 11, 1778, 439, 51692, 320, 22771, 8, 477, 43627, 2411, 320, 9688, 705, 449, 25524, 3242, 38333, 26, 279, 955, 315, 3242, 5631, 3118, 27667, 279, 955, 315, 279, 87836, 627, 10445, 20349, 527, 3549, 304, 281, 10827, 87836, 5380, 75790, 13, 393, 10827, 320, 2000, 13937, 6928, 10405, 8, 51692, 3135, 422, 279, 27420, 519, 374, 32732, 263, 11, 902, 5727, 832, 17130, 17162, 1109, 264, 51692, 19670, 13, 9062, 3779, 32732, 263, 19670, 11705, 264, 48294, 315, 832, 17130, 41128, 374, 11, 264, 6928, 14512, 627, 4438, 20349, 527, 3549, 304, 308, 10827, 87836, 5380, 45, 10827, 5347, 1965, 1076, 1105, 527, 3549, 555, 97928, 459, 47701, 87836, 449, 459, 17130, 35558, 2449, 2391, 30847, 13, 578, 4751, 308, 10827, 4131, 505, 279, 8389, 6900, 315, 279, 17130, 13, 763, 308, 10827, 5347, 1965, 1076, 1105, 11, 57678, 527, 279, 8857, 35991, 323, 20349, 527, 279, 23413, 35991, 627, 4438, 656, 499, 1440, 422, 955, 374, 452, 477, 281, 5380, 791, 30689, 1053, 387, 50790, 1376, 279, 39445, 2007, 13, 1442, 279, 27420, 519, 706, 810, 57678, 304, 279, 16335, 12811, 1109, 279, 87836, 3769, 11, 433, 753, 2133, 311, 387, 308, 10827, 11, 323, 449, 2753, 57678, 304, 279, 16335, 12811, 11, 433, 753, 281, 10827, 627, 4438, 452, 10827, 5347, 1965, 1076, 1105, 527, 1766, 5380, 32, 452, 10827, 87836, 374, 3549, 555, 97928, 420, 10748, 51692, 26110, 55372, 449, 264, 20801, 22510, 306, 3242, 5631, 2449, 1093, 6898, 65556, 320, 50, 65, 570, 763, 459, 452, 10827, 87836, 279, 19670, 315, 20801, 22510, 306, 3242, 5631, 2449, 6898, 65556, 320, 50, 65, 8, 374, 304, 1990, 51692, 33299, 13, 578, 38250, 33299, 617, 3116, 57678, 304, 279, 1062, 768, 12811, 627, 4438, 281, 323, 308, 10827, 5347, 1965, 1076, 1105, 527, 14454, 5380, 77, 10827, 323, 281, 10827, 5347, 1965, 1076, 1105, 527, 14454, 555, 279, 1920, 315, 97928, 279, 10748, 48473, 1093, 38250, 11, 6063, 2411, 1174, 5099, 2637, 449, 20801, 22510, 306, 323, 490, 12031, 5540, 13, 72387, 25, 3277, 20801, 22510, 306, 19670, 294, 16771, 449, 12095, 1174, 3116, 33299, 505, 20801, 22510, 306, 19670, 690, 35526, 449, 51692, 323, 832, 8625, 63557, 6965, 449, 279, 2748, 19670, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523 ]
[ 128000, 29305, 292, 484, 1354, 320, 47, 11, 6812, 45, 477, 81770, 8, 527, 264, 1912, 315, 46850, 13517, 12457, 505, 13597, 292, 484, 2411, 51370, 82, 11, 92381, 393, 13, 523, 42426, 540, 9195, 323, 393, 13, 10485, 729, 13, 7648, 5869, 292, 484, 1354, 304, 14830, 1005, 527, 52389, 4147, 555, 393, 13, 523, 42426, 540, 9195, 1701, 5655, 13192, 74454, 323, 1243, 92600, 13, 362, 1396, 315, 5933, 5869, 292, 484, 1354, 617, 1027, 11352, 11, 719, 1193, 1403, 92600, 32246, 527, 304, 14830, 1005, 25, 5869, 292, 61597, 480, 320, 59888, 56455, 22077, 477, 10805, 81443, 1005, 8, 323, 5869, 292, 61597, 650, 320, 43068, 555, 11013, 570, 13597, 292, 484, 1354, 1051, 4315, 279, 1176, 31010, 311, 387, 7524, 2403, 1690, 45964, 30020, 9057, 555, 357, 1366, 88, 1092, 511, 5979, 323, 5527, 418, 511, 511, 5979, 13, 2435, 527, 3697, 315, 279, 34318, 2922, 533, 309, 46850, 13, 2435, 527, 2103, 13882, 1511, 3432, 369, 2204, 45964, 30020, 11, 3582, 1690, 4595, 315, 24032, 617, 8040, 13957, 2768, 16781, 1005, 627, 91, 31023, 8653, 14, 9023, 13602, 916, 8651, 98402, 442, 291, 327, 63765, 26262, 8245, 7511, 91, 644, 376, 81443, 11, 10805, 56455, 22077, 11, 555, 11013, 7511, 91, 42113, 2617, 4376, 26928, 8651, 26556, 220, 15, 13, 20, 323, 220, 3487, 4207, 7511, 10714, 220, 605, 4, 315, 1274, 1934, 430, 814, 527, 57596, 311, 5869, 292, 61597, 26, 4869, 11, 709, 311, 220, 1954, 4, 315, 420, 1912, 1253, 539, 3604, 387, 57596, 13, 74596, 58742, 1193, 12446, 304, 922, 220, 15, 13, 2839, 4, 8032, 2000, 8884, 94068, 8483, 22020, 279, 12939, 315, 2225, 16410, 323, 6978, 25394, 12715, 5869, 292, 61597, 58742, 13, 13266, 889, 527, 57596, 311, 5869, 292, 61597, 527, 1455, 3629, 2728, 63190, 12130, 437, 4406, 258, 356, 320, 43063, 34318, 2922, 533, 309, 60595, 8, 1606, 1070, 374, 1193, 220, 605, 4, 49480, 304, 60754, 1990, 279, 5869, 292, 484, 1354, 323, 63190, 12130, 437, 4406, 1354, 627, 29305, 292, 61597, 574, 11352, 304, 220, 5926, 23, 555, 27188, 28568, 20643, 86297, 439, 264, 35750, 8819, 315, 393, 13, 10485, 729, 13, 86297, 596, 5575, 90227, 10058, 393, 8511, 574, 279, 1176, 311, 7946, 1005, 5869, 292, 61597, 311, 4322, 8071, 19405, 320, 5237, 78743, 689, 47752, 859, 372, 8, 304, 220, 7285, 15, 13, 578, 92600, 24549, 320, 2821, 292, 61597, 435, 8, 574, 25181, 304, 220, 6393, 15, 555, 264, 3495, 2128, 6197, 555, 20462, 20151, 8233, 323, 74210, 52771, 29625, 520, 279, 3907, 315, 26275, 13, 86297, 1176, 1511, 279, 92600, 5869, 292, 61597, 311, 4322, 5527, 418, 511, 511, 5531, 67979, 20000, 304, 220, 6393, 17, 13, 1789, 279, 18841, 11, 86297, 6222, 279, 220, 6393, 20, 48078, 32293, 304, 95946, 477, 19152, 449, 20151, 8233, 323, 29625, 13, 128001, 128000, 34774, 3814, 264, 2046, 4227, 59766, 58716, 7376, 430, 1070, 1053, 539, 387, 8993, 279, 2768, 7742, 3814, 4245, 311, 1063, 8993, 70430, 430, 1053, 387, 2133, 389, 13, 358, 6656, 311, 279, 3070, 323, 58134, 398, 1071, 330, 11649, 11, 1243, 279, 6980, 323, 358, 1288, 733, 311, 7188, 10246, 5971, 3245, 358, 7020, 11, 358, 574, 3339, 4641, 6880, 323, 36813, 7937, 24857, 627, 37734, 574, 779, 23418, 922, 279, 6980, 323, 358, 21646, 7636, 13, 1283, 10273, 323, 2033, 10273, 279, 5355, 11, 6688, 757, 6020, 11470, 323, 8965, 18290, 627, 36339, 6693, 358, 39826, 709, 520, 220, 20, 311, 636, 5644, 323, 2865, 709, 13, 11641, 10837, 304, 505, 279, 1023, 3130, 323, 3940, 77826, 813, 18311, 13, 1283, 35595, 323, 1071, 11, 330, 40, 1120, 617, 311, 3854, 9135, 473, 8116, 9832, 1494, 0, 1283, 574, 3025, 311, 3729, 813, 13697, 323, 636, 8041, 311, 1935, 279, 2046, 1022, 2533, 433, 574, 6435, 323, 568, 1047, 279, 892, 627, 1383, 220, 21, 25, 966, 362, 1345, 13, 584, 1051, 389, 279, 5754, 13, 358, 1097, 779, 26845, 43788, 430, 856, 6980, 5944, 1664, 13, 18589, 287, 520, 3814, 1587, 539, 990, 369, 603, 11, 779, 584, 617, 311, 5944, 2391, 279, 6980, 35447, 3115, 13, 2435, 3021, 433, 11, 4869, 11, 323, 3060, 46276, 5694, 449, 682, 279, 23939, 323, 6603, 430, 358, 3854, 11, 477, 527, 2262, 311, 1120, 1427, 704, 279, 3321, 13, 1102, 1587, 1304, 279, 8577, 779, 1790, 8831, 627, 1687, 527, 3025, 311, 6678, 505, 23503, 11, 31976, 311, 5768, 52525, 11, 7188, 304, 2753, 1109, 30335, 4207, 13, 3011, 5764, 3116, 4062, 281, 58739, 18808, 323, 459, 6596, 1317, 16163, 1464, 13, 2100, 11, 584, 13541, 1139, 856, 3450, 596, 53242, 520, 220, 21, 393, 1345, 13, 3005, 12020, 603, 311, 264, 23317, 14177, 323, 584, 14333, 21363, 704, 627, 41299, 584, 23980, 311, 11641, 596, 6699, 1405, 584, 13205, 264, 1403, 3814, 33873, 8577, 311, 22010, 596, 48950, 11, 3485, 12103, 6347, 323, 89077, 11, 7188, 13, 14910, 264, 2697, 12185, 13, 41315, 315, 21363, 704, 13, 578, 6980, 6476, 40292, 320, 438, 21095, 264, 2763, 927, 889, 596, 2543, 433, 574, 11, 70448, 28684, 41299, 574, 1101, 856, 10868, 596, 15553, 11, 779, 584, 4691, 856, 304, 68637, 311, 3821, 279, 6980, 1418, 11641, 323, 358, 4024, 704, 311, 14177, 449, 856, 10868, 11, 813, 7555, 11, 323, 856, 3450, 13, 1102, 574, 779, 6555, 311, 4774, 264, 18406, 14177, 2085, 6980, 13, 1226, 15243, 323, 32627, 1418, 584, 8343, 11, 1243, 4024, 927, 311, 17527, 323, 77312, 596, 3838, 311, 1817, 433, 704, 323, 3137, 323, 12835, 1063, 810, 13, 1102, 574, 11364, 627, 41619, 584, 6799, 709, 279, 5355, 323, 11641, 596, 6699, 6799, 709, 872, 92153, 323, 584, 19946, 709, 279, 16700, 13, 1102, 27653, 709, 1694, 80005, 1109, 584, 1047, 26253, 11, 779, 430, 574, 264, 2697, 2766, 315, 264, 293, 63373, 13, 1628, 584, 29695, 279, 11033, 12340, 15083, 32786, 13, 2030, 8244, 279, 33873, 8577, 574, 1695, 13, 578, 6980, 2751, 311, 8493, 4367, 892, 449, 872, 56435, 323, 4774, 279, 2294, 34632, 13, 23278, 323, 18984, 7543, 264, 2763, 315, 892, 5737, 304, 279, 26351, 449, 9462, 23939, 430, 358, 1047, 11021, 13, 23278, 574, 78442, 279, 4553, 892, 323, 358, 1781, 568, 1047, 279, 1455, 2523, 0, 735, 2718, 77, 323, 32320, 6476, 10283, 315, 10034, 3953, 11, 5636, 6781, 46, 323, 26869, 30659, 13, 1226, 4024, 389, 264, 5743, 315, 68585, 1523, 311, 279, 15140, 323, 2751, 264, 2697, 14739, 320, 64464, 2751, 264, 2763, 14739, 43492, 358, 1781, 938, 15067, 4106, 81134, 323, 33096, 30632, 4336, 574, 279, 7075, 627, 35720, 584, 3782, 1203, 311, 36017, 323, 52902, 13, 17527, 323, 77312, 3782, 927, 311, 856, 3450, 596, 449, 14177, 320, 40, 3021, 264, 3828, 889, 12716, 16553, 82880, 19209, 369, 279, 6980, 43492, 1226, 15243, 323, 32627, 1063, 810, 13, 1102, 596, 15526, 311, 1518, 856, 10868, 12502, 13, 358, 2846, 779, 6380, 369, 1461, 13, 77312, 374, 4832, 369, 1461, 627, 1687, 1047, 70904, 2212, 264, 2478, 6848, 315, 1148, 311, 656, 389, 7884, 449, 856, 3450, 11, 719, 304, 279, 842, 6773, 311, 4822, 304, 6424, 13, 22172, 574, 19781, 315, 10043, 323, 584, 1053, 387, 14836, 2162, 279, 1828, 1938, 11, 2500, 220, 717, 6596, 6678, 13, 2100, 99068, 3952, 279, 6980, 311, 49481, 432, 4073, 323, 73692, 64066, 323, 11021, 1124, 1855, 2555, 13, 5112, 584, 4024, 311, 16163, 520, 279, 18288, 4563, 3545, 320, 40, 3077, 9687, 430, 11, 994, 2728, 279, 3072, 11, 733, 369, 279, 61886, 13, 3489, 5327, 323, 279, 6980, 617, 264, 8205, 311, 5268, 505, 570, 578, 13658, 574, 7543, 36813, 323, 5737, 449, 502, 23939, 13, 4740, 14177, 584, 4024, 311, 54511, 388, 11547, 36662, 354, 311, 6678, 733, 12934, 7183, 323, 1514, 91434, 12, 631, 83, 13, 578, 3814, 574, 8220, 449, 264, 8577, 311, 24062, 40720, 606, 30800, 727, 627, 37165, 584, 23980, 2162, 13, 4800, 279, 3838, 374, 264, 9622, 449, 35189, 323, 7937, 24857, 311, 32165, 13, 2030, 358, 2846, 16089, 430, 584, 3952, 279, 6140, 311, 733, 1518, 1063, 3070, 323, 1304, 1063, 19459, 627, 1932, 34636, 32, 3507, 816, 59773, 128001, 128000, 68583, 88, 706, 264, 5138, 389, 330, 791, 3061, 6605, 6785, 22374, 315, 9305, 498, 264, 7091, 6917, 7086, 330, 38, 2259, 97457, 13299, 1617, 425, 3343, 77312, 11, 555, 6140, 11, 374, 459, 2362, 4333, 315, 28237, 596, 13, 28237, 29972, 311, 636, 77312, 311, 3009, 555, 323, 3449, 27565, 88, 13, 77312, 374, 13847, 311, 2804, 369, 279, 11291, 1856, 1683, 1501, 11, 304, 6424, 13, 7505, 6388, 426, 30582, 11, 4869, 11, 706, 1023, 6787, 1131, 7505, 6388, 33798, 2690, 77312, 304, 2015, 311, 330, 7712, 304, 1, 369, 1077, 11, 323, 5616, 636, 1063, 6566, 892, 13, 578, 13481, 617, 311, 17629, 77312, 323, 636, 1077, 1203, 304, 2015, 311, 2804, 279, 1501, 627, 36724, 555, 25, 69639, 469, 13, 14114, 569, 16014, 627, 37394, 19508, 25, 330, 2181, 596, 1561, 311, 1472, 702, 6854, 433, 387, 220, 482, 220, 384, 30, 2209, 433, 312, 220, 482, 220, 453, 5380, 6854, 433, 387, 220, 482, 220, 384, 30, 3053, 584, 1344, 220, 482, 220, 379, 5380, 20989, 9523, 311, 39485, 330, 12988, 1, 61582, 11, 369, 10695, 757, 75277, 279, 3485, 24142, 0, 128001, 128000, 4438, 649, 358, 5471, 856, 32080, 505, 7366, 4423, 1139, 1057, 2162, 5380, 128001, 128000, 1844, 5581, 21765, 52216, 26, 59290, 19504, 13, 1115, 6515, 299, 59822, 87227, 374, 9193, 5107, 311, 33137, 505, 1202, 3345, 29658, 26, 5066, 2512, 374, 4460, 11, 2737, 1695, 25232, 311, 7838, 24654, 627, 9241, 304, 57111, 198, 2181, 374, 810, 3629, 6755, 1109, 3970, 11, 420, 9606, 374, 264, 1940, 360, 10789, 12224, 430, 27656, 704, 315, 14254, 304, 29050, 54832, 719, 374, 1766, 810, 15870, 304, 312, 291, 1448, 57658, 39646, 304, 35724, 969, 323, 328, 5724, 581, 6780, 9379, 5789, 13, 44493, 433, 369, 1154, 704, 315, 14254, 3221, 279, 5015, 477, 3090, 2237, 627, 644, 279, 1917, 198, 2181, 706, 459, 9193, 3544, 2134, 449, 264, 15528, 7187, 449, 264, 2134, 430, 2289, 505, 45680, 10384, 323, 279, 73698, 50714, 11, 1555, 4987, 323, 36664, 13936, 311, 279, 26363, 11, 1561, 48903, 323, 8494, 13, 7648, 22673, 7293, 14470, 11163, 306, 661, 1060, 21691, 11, 719, 279, 1455, 6463, 700, 398, 22673, 8541, 311, 45666, 10007, 4102, 1603, 279, 42080, 315, 12688, 311, 8493, 279, 76214, 4038, 304, 279, 7904, 1207, 75695, 13, 128001, 128000, 791, 2883, 4920, 279, 4295, 6505, 1847, 78918, 57628, 706, 8036, 1202, 7295, 14356, 11, 1306, 10163, 1202, 22613, 1051, 4461, 311, 4498, 627, 49, 869, 822, 753, 2010, 315, 3953, 11, 93537, 24172, 427, 11, 1101, 40207, 389, 6740, 11, 9564, 10388, 11145, 735, 9491, 28120, 269, 8424, 304, 6900, 627, 2181, 706, 36197, 11292, 10937, 323, 5190, 8661, 7194, 369, 279, 8009, 36721, 627, 49, 869, 822, 753, 7295, 14356, 574, 9107, 304, 220, 679, 22, 323, 279, 2883, 4024, 586, 304, 6250, 449, 264, 51262, 315, 7083, 25251, 76, 627, 4071, 389, 220, 1313, 7552, 11, 279, 58953, 3953, 25214, 11136, 264, 11626, 10163, 430, 9057, 1202, 13551, 311, 6068, 555, 220, 1135, 126437, 28192, 37857, 279, 22722, 315, 1202, 7295, 14356, 11, 432, 869, 822, 1071, 433, 4934, 311, 37455, 389, 1202, 42795, 304, 37355, 323, 24067, 627, 791, 2883, 1047, 20011, 8254, 3953, 13707, 304, 7295, 627, 49, 869, 822, 5602, 11295, 6650, 1306, 433, 11887, 78918, 57628, 304, 220, 1049, 24, 11, 719, 433, 1903, 264, 5199, 4814, 304, 220, 679, 20, 323, 4018, 264, 4948, 315, 1202, 5687, 627, 644, 220, 679, 21, 11, 1202, 78918, 57628, 5818, 15662, 400, 8652, 3610, 54915, 12375, 76, 8, 304, 98707, 323, 9087, 59816, 6763, 315, 279, 1847, 627, 32, 35861, 374, 3685, 304, 220, 679, 24, 382, 128001 ]
[ -100, 29305, 292, 484, 1354, 320, 47, 11, 6812, 45, 477, 81770, 8, 527, 264, 1912, 315, 46850, 13517, 12457, 505, 13597, 292, 484, 2411, 51370, 82, 11, 92381, 393, 13, 523, 42426, 540, 9195, 323, 393, 13, 10485, 729, 13, 7648, 5869, 292, 484, 1354, 304, 14830, 1005, 527, 52389, 4147, 555, 393, 13, 523, 42426, 540, 9195, 1701, 5655, 13192, 74454, 323, 1243, 92600, 13, 362, 1396, 315, 5933, 5869, 292, 484, 1354, 617, 1027, 11352, 11, 719, 1193, 1403, 92600, 32246, 527, 304, 14830, 1005, 25, 5869, 292, 61597, 480, 320, 59888, 56455, 22077, 477, 10805, 81443, 1005, 8, 323, 5869, 292, 61597, 650, 320, 43068, 555, 11013, 570, 13597, 292, 484, 1354, 1051, 4315, 279, 1176, 31010, 311, 387, 7524, 2403, 1690, 45964, 30020, 9057, 555, 357, 1366, 88, 1092, 511, 5979, 323, 5527, 418, 511, 511, 5979, 13, 2435, 527, 3697, 315, 279, 34318, 2922, 533, 309, 46850, 13, 2435, 527, 2103, 13882, 1511, 3432, 369, 2204, 45964, 30020, 11, 3582, 1690, 4595, 315, 24032, 617, 8040, 13957, 2768, 16781, 1005, 627, 91, 31023, 8653, 14, 9023, 13602, 916, 8651, 98402, 442, 291, 327, 63765, 26262, 8245, 7511, 91, 644, 376, 81443, 11, 10805, 56455, 22077, 11, 555, 11013, 7511, 91, 42113, 2617, 4376, 26928, 8651, 26556, 220, 15, 13, 20, 323, 220, 3487, 4207, 7511, 10714, 220, 605, 4, 315, 1274, 1934, 430, 814, 527, 57596, 311, 5869, 292, 61597, 26, 4869, 11, 709, 311, 220, 1954, 4, 315, 420, 1912, 1253, 539, 3604, 387, 57596, 13, 74596, 58742, 1193, 12446, 304, 922, 220, 15, 13, 2839, 4, 8032, 2000, 8884, 94068, 8483, 22020, 279, 12939, 315, 2225, 16410, 323, 6978, 25394, 12715, 5869, 292, 61597, 58742, 13, 13266, 889, 527, 57596, 311, 5869, 292, 61597, 527, 1455, 3629, 2728, 63190, 12130, 437, 4406, 258, 356, 320, 43063, 34318, 2922, 533, 309, 60595, 8, 1606, 1070, 374, 1193, 220, 605, 4, 49480, 304, 60754, 1990, 279, 5869, 292, 484, 1354, 323, 63190, 12130, 437, 4406, 1354, 627, 29305, 292, 61597, 574, 11352, 304, 220, 5926, 23, 555, 27188, 28568, 20643, 86297, 439, 264, 35750, 8819, 315, 393, 13, 10485, 729, 13, 86297, 596, 5575, 90227, 10058, 393, 8511, 574, 279, 1176, 311, 7946, 1005, 5869, 292, 61597, 311, 4322, 8071, 19405, 320, 5237, 78743, 689, 47752, 859, 372, 8, 304, 220, 7285, 15, 13, 578, 92600, 24549, 320, 2821, 292, 61597, 435, 8, 574, 25181, 304, 220, 6393, 15, 555, 264, 3495, 2128, 6197, 555, 20462, 20151, 8233, 323, 74210, 52771, 29625, 520, 279, 3907, 315, 26275, 13, 86297, 1176, 1511, 279, 92600, 5869, 292, 61597, 311, 4322, 5527, 418, 511, 511, 5531, 67979, 20000, 304, 220, 6393, 17, 13, 1789, 279, 18841, 11, 86297, 6222, 279, 220, 6393, 20, 48078, 32293, 304, 95946, 477, 19152, 449, 20151, 8233, 323, 29625, 13, 128001, -100, 34774, 3814, 264, 2046, 4227, 59766, 58716, 7376, 430, 1070, 1053, 539, 387, 8993, 279, 2768, 7742, 3814, 4245, 311, 1063, 8993, 70430, 430, 1053, 387, 2133, 389, 13, 358, 6656, 311, 279, 3070, 323, 58134, 398, 1071, 330, 11649, 11, 1243, 279, 6980, 323, 358, 1288, 733, 311, 7188, 10246, 5971, 3245, 358, 7020, 11, 358, 574, 3339, 4641, 6880, 323, 36813, 7937, 24857, 627, 37734, 574, 779, 23418, 922, 279, 6980, 323, 358, 21646, 7636, 13, 1283, 10273, 323, 2033, 10273, 279, 5355, 11, 6688, 757, 6020, 11470, 323, 8965, 18290, 627, 36339, 6693, 358, 39826, 709, 520, 220, 20, 311, 636, 5644, 323, 2865, 709, 13, 11641, 10837, 304, 505, 279, 1023, 3130, 323, 3940, 77826, 813, 18311, 13, 1283, 35595, 323, 1071, 11, 330, 40, 1120, 617, 311, 3854, 9135, 473, 8116, 9832, 1494, 0, 1283, 574, 3025, 311, 3729, 813, 13697, 323, 636, 8041, 311, 1935, 279, 2046, 1022, 2533, 433, 574, 6435, 323, 568, 1047, 279, 892, 627, 1383, 220, 21, 25, 966, 362, 1345, 13, 584, 1051, 389, 279, 5754, 13, 358, 1097, 779, 26845, 43788, 430, 856, 6980, 5944, 1664, 13, 18589, 287, 520, 3814, 1587, 539, 990, 369, 603, 11, 779, 584, 617, 311, 5944, 2391, 279, 6980, 35447, 3115, 13, 2435, 3021, 433, 11, 4869, 11, 323, 3060, 46276, 5694, 449, 682, 279, 23939, 323, 6603, 430, 358, 3854, 11, 477, 527, 2262, 311, 1120, 1427, 704, 279, 3321, 13, 1102, 1587, 1304, 279, 8577, 779, 1790, 8831, 627, 1687, 527, 3025, 311, 6678, 505, 23503, 11, 31976, 311, 5768, 52525, 11, 7188, 304, 2753, 1109, 30335, 4207, 13, 3011, 5764, 3116, 4062, 281, 58739, 18808, 323, 459, 6596, 1317, 16163, 1464, 13, 2100, 11, 584, 13541, 1139, 856, 3450, 596, 53242, 520, 220, 21, 393, 1345, 13, 3005, 12020, 603, 311, 264, 23317, 14177, 323, 584, 14333, 21363, 704, 627, 41299, 584, 23980, 311, 11641, 596, 6699, 1405, 584, 13205, 264, 1403, 3814, 33873, 8577, 311, 22010, 596, 48950, 11, 3485, 12103, 6347, 323, 89077, 11, 7188, 13, 14910, 264, 2697, 12185, 13, 41315, 315, 21363, 704, 13, 578, 6980, 6476, 40292, 320, 438, 21095, 264, 2763, 927, 889, 596, 2543, 433, 574, 11, 70448, 28684, 41299, 574, 1101, 856, 10868, 596, 15553, 11, 779, 584, 4691, 856, 304, 68637, 311, 3821, 279, 6980, 1418, 11641, 323, 358, 4024, 704, 311, 14177, 449, 856, 10868, 11, 813, 7555, 11, 323, 856, 3450, 13, 1102, 574, 779, 6555, 311, 4774, 264, 18406, 14177, 2085, 6980, 13, 1226, 15243, 323, 32627, 1418, 584, 8343, 11, 1243, 4024, 927, 311, 17527, 323, 77312, 596, 3838, 311, 1817, 433, 704, 323, 3137, 323, 12835, 1063, 810, 13, 1102, 574, 11364, 627, 41619, 584, 6799, 709, 279, 5355, 323, 11641, 596, 6699, 6799, 709, 872, 92153, 323, 584, 19946, 709, 279, 16700, 13, 1102, 27653, 709, 1694, 80005, 1109, 584, 1047, 26253, 11, 779, 430, 574, 264, 2697, 2766, 315, 264, 293, 63373, 13, 1628, 584, 29695, 279, 11033, 12340, 15083, 32786, 13, 2030, 8244, 279, 33873, 8577, 574, 1695, 13, 578, 6980, 2751, 311, 8493, 4367, 892, 449, 872, 56435, 323, 4774, 279, 2294, 34632, 13, 23278, 323, 18984, 7543, 264, 2763, 315, 892, 5737, 304, 279, 26351, 449, 9462, 23939, 430, 358, 1047, 11021, 13, 23278, 574, 78442, 279, 4553, 892, 323, 358, 1781, 568, 1047, 279, 1455, 2523, 0, 735, 2718, 77, 323, 32320, 6476, 10283, 315, 10034, 3953, 11, 5636, 6781, 46, 323, 26869, 30659, 13, 1226, 4024, 389, 264, 5743, 315, 68585, 1523, 311, 279, 15140, 323, 2751, 264, 2697, 14739, 320, 64464, 2751, 264, 2763, 14739, 43492, 358, 1781, 938, 15067, 4106, 81134, 323, 33096, 30632, 4336, 574, 279, 7075, 627, 35720, 584, 3782, 1203, 311, 36017, 323, 52902, 13, 17527, 323, 77312, 3782, 927, 311, 856, 3450, 596, 449, 14177, 320, 40, 3021, 264, 3828, 889, 12716, 16553, 82880, 19209, 369, 279, 6980, 43492, 1226, 15243, 323, 32627, 1063, 810, 13, 1102, 596, 15526, 311, 1518, 856, 10868, 12502, 13, 358, 2846, 779, 6380, 369, 1461, 13, 77312, 374, 4832, 369, 1461, 627, 1687, 1047, 70904, 2212, 264, 2478, 6848, 315, 1148, 311, 656, 389, 7884, 449, 856, 3450, 11, 719, 304, 279, 842, 6773, 311, 4822, 304, 6424, 13, 22172, 574, 19781, 315, 10043, 323, 584, 1053, 387, 14836, 2162, 279, 1828, 1938, 11, 2500, 220, 717, 6596, 6678, 13, 2100, 99068, 3952, 279, 6980, 311, 49481, 432, 4073, 323, 73692, 64066, 323, 11021, 1124, 1855, 2555, 13, 5112, 584, 4024, 311, 16163, 520, 279, 18288, 4563, 3545, 320, 40, 3077, 9687, 430, 11, 994, 2728, 279, 3072, 11, 733, 369, 279, 61886, 13, 3489, 5327, 323, 279, 6980, 617, 264, 8205, 311, 5268, 505, 570, 578, 13658, 574, 7543, 36813, 323, 5737, 449, 502, 23939, 13, 4740, 14177, 584, 4024, 311, 54511, 388, 11547, 36662, 354, 311, 6678, 733, 12934, 7183, 323, 1514, 91434, 12, 631, 83, 13, 578, 3814, 574, 8220, 449, 264, 8577, 311, 24062, 40720, 606, 30800, 727, 627, 37165, 584, 23980, 2162, 13, 4800, 279, 3838, 374, 264, 9622, 449, 35189, 323, 7937, 24857, 311, 32165, 13, 2030, 358, 2846, 16089, 430, 584, 3952, 279, 6140, 311, 733, 1518, 1063, 3070, 323, 1304, 1063, 19459, 627, 1932, 34636, 32, 3507, 816, 59773, 128001, -100, 68583, 88, 706, 264, 5138, 389, 330, 791, 3061, 6605, 6785, 22374, 315, 9305, 498, 264, 7091, 6917, 7086, 330, 38, 2259, 97457, 13299, 1617, 425, 3343, 77312, 11, 555, 6140, 11, 374, 459, 2362, 4333, 315, 28237, 596, 13, 28237, 29972, 311, 636, 77312, 311, 3009, 555, 323, 3449, 27565, 88, 13, 77312, 374, 13847, 311, 2804, 369, 279, 11291, 1856, 1683, 1501, 11, 304, 6424, 13, 7505, 6388, 426, 30582, 11, 4869, 11, 706, 1023, 6787, 1131, 7505, 6388, 33798, 2690, 77312, 304, 2015, 311, 330, 7712, 304, 1, 369, 1077, 11, 323, 5616, 636, 1063, 6566, 892, 13, 578, 13481, 617, 311, 17629, 77312, 323, 636, 1077, 1203, 304, 2015, 311, 2804, 279, 1501, 627, 36724, 555, 25, 69639, 469, 13, 14114, 569, 16014, 627, 37394, 19508, 25, 330, 2181, 596, 1561, 311, 1472, 702, 6854, 433, 387, 220, 482, 220, 384, 30, 2209, 433, 312, 220, 482, 220, 453, 5380, 6854, 433, 387, 220, 482, 220, 384, 30, 3053, 584, 1344, 220, 482, 220, 379, 5380, 20989, 9523, 311, 39485, 330, 12988, 1, 61582, 11, 369, 10695, 757, 75277, 279, 3485, 24142, 0, 128001, -100, 4438, 649, 358, 5471, 856, 32080, 505, 7366, 4423, 1139, 1057, 2162, 5380, 128001, -100, 1844, 5581, 21765, 52216, 26, 59290, 19504, 13, 1115, 6515, 299, 59822, 87227, 374, 9193, 5107, 311, 33137, 505, 1202, 3345, 29658, 26, 5066, 2512, 374, 4460, 11, 2737, 1695, 25232, 311, 7838, 24654, 627, 9241, 304, 57111, 198, 2181, 374, 810, 3629, 6755, 1109, 3970, 11, 420, 9606, 374, 264, 1940, 360, 10789, 12224, 430, 27656, 704, 315, 14254, 304, 29050, 54832, 719, 374, 1766, 810, 15870, 304, 312, 291, 1448, 57658, 39646, 304, 35724, 969, 323, 328, 5724, 581, 6780, 9379, 5789, 13, 44493, 433, 369, 1154, 704, 315, 14254, 3221, 279, 5015, 477, 3090, 2237, 627, 644, 279, 1917, 198, 2181, 706, 459, 9193, 3544, 2134, 449, 264, 15528, 7187, 449, 264, 2134, 430, 2289, 505, 45680, 10384, 323, 279, 73698, 50714, 11, 1555, 4987, 323, 36664, 13936, 311, 279, 26363, 11, 1561, 48903, 323, 8494, 13, 7648, 22673, 7293, 14470, 11163, 306, 661, 1060, 21691, 11, 719, 279, 1455, 6463, 700, 398, 22673, 8541, 311, 45666, 10007, 4102, 1603, 279, 42080, 315, 12688, 311, 8493, 279, 76214, 4038, 304, 279, 7904, 1207, 75695, 13, 128001, -100, 791, 2883, 4920, 279, 4295, 6505, 1847, 78918, 57628, 706, 8036, 1202, 7295, 14356, 11, 1306, 10163, 1202, 22613, 1051, 4461, 311, 4498, 627, 49, 869, 822, 753, 2010, 315, 3953, 11, 93537, 24172, 427, 11, 1101, 40207, 389, 6740, 11, 9564, 10388, 11145, 735, 9491, 28120, 269, 8424, 304, 6900, 627, 2181, 706, 36197, 11292, 10937, 323, 5190, 8661, 7194, 369, 279, 8009, 36721, 627, 49, 869, 822, 753, 7295, 14356, 574, 9107, 304, 220, 679, 22, 323, 279, 2883, 4024, 586, 304, 6250, 449, 264, 51262, 315, 7083, 25251, 76, 627, 4071, 389, 220, 1313, 7552, 11, 279, 58953, 3953, 25214, 11136, 264, 11626, 10163, 430, 9057, 1202, 13551, 311, 6068, 555, 220, 1135, 126437, 28192, 37857, 279, 22722, 315, 1202, 7295, 14356, 11, 432, 869, 822, 1071, 433, 4934, 311, 37455, 389, 1202, 42795, 304, 37355, 323, 24067, 627, 791, 2883, 1047, 20011, 8254, 3953, 13707, 304, 7295, 627, 49, 869, 822, 5602, 11295, 6650, 1306, 433, 11887, 78918, 57628, 304, 220, 1049, 24, 11, 719, 433, 1903, 264, 5199, 4814, 304, 220, 679, 20, 323, 4018, 264, 4948, 315, 1202, 5687, 627, 644, 220, 679, 21, 11, 1202, 78918, 57628, 5818, 15662, 400, 8652, 3610, 54915, 12375, 76, 8, 304, 98707, 323, 9087, 59816, 6763, 315, 279, 1847, 627, 32, 35861, 374, 3685, 304, 220, 679, 24, 382, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223 ]
[ 128000, 52157, 5496, 2085, 279, 6617, 4907, 8336, 1093, 18200, 12153, 311, 27100, 11, 8343, 1664, 11, 6212, 304, 85979, 323, 8369, 10632, 13, 1789, 33151, 315, 1274, 31550, 11, 814, 3663, 4907, 19542, 1475, 1938, 13, 12634, 19542, 12716, 704, 264, 6023, 311, 3823, 4868, 449, 927, 220, 16, 13, 17, 7239, 1274, 31550, 32161, 2680, 311, 18200, 627, 58276, 11, 12634, 19542, 374, 279, 3325, 22628, 1376, 315, 3728, 3281, 34790, 430, 22223, 279, 1664, 33851, 11, 22655, 9498, 323, 3025, 311, 29761, 369, 279, 11754, 1274, 13, 1102, 3445, 264, 6996, 315, 2680, 311, 279, 6617, 7739, 315, 4907, 1093, 18200, 11, 323, 433, 753, 30706, 311, 16628, 1990, 4907, 90325, 10603, 11, 3428, 8070, 323, 4907, 7729, 13, 4452, 11, 5961, 1093, 1561, 17340, 527, 75701, 369, 23917, 323, 17049, 4907, 6067, 1093, 13238, 21988, 13, 2100, 11, 1618, 1268, 12634, 19542, 22223, 1274, 1664, 33851, 198, 12, 1102, 39168, 1124, 505, 32888, 2890, 13077, 369, 69074, 198, 2520, 279, 10896, 3318, 304, 5789, 38097, 311, 4907, 19542, 11, 433, 9067, 82, 1124, 505, 3318, 1306, 44084, 11, 16472, 11, 12153, 311, 3790, 2890, 69074, 13, 9742, 311, 4907, 8779, 311, 3160, 268, 279, 3318, 2919, 369, 6593, 5687, 323, 12992, 279, 1396, 315, 6978, 18677, 311, 304, 264, 1938, 627, 50674, 11, 994, 279, 14830, 13077, 6996, 9249, 18186, 11, 814, 5766, 3815, 49785, 2370, 16346, 323, 69570, 13, 50935, 287, 97294, 477, 53354, 68823, 1701, 8009, 18186, 34103, 459, 5217, 5326, 13, 1102, 3445, 369, 279, 5789, 38097, 311, 4907, 19542, 433, 753, 2653, 311, 3665, 264, 2324, 13, 24296, 11, 5789, 449, 4907, 19542, 1304, 433, 2653, 311, 2567, 2324, 14324, 31010, 11, 6680, 990, 323, 40300, 627, 12, 12634, 70274, 11767, 311, 10648, 315, 11660, 2410, 20054, 5983, 198, 34160, 311, 6996, 315, 18200, 11, 1455, 1274, 3469, 311, 1005, 597, 6398, 1994, 50552, 11, 1825, 30619, 27176, 11, 11756, 477, 61203, 430, 9221, 71134, 519, 6522, 311, 5370, 49909, 13, 735, 6398, 1994, 1253, 3063, 311, 9572, 11, 51643, 323, 50160, 21271, 734, 13, 1102, 1101, 12992, 50600, 19338, 1093, 88234, 11, 1418, 11756, 323, 61203, 11384, 2204, 42631, 19338, 627, 12, 1102, 11767, 311, 7319, 12688, 16779, 198, 1688, 279, 1455, 14560, 315, 12688, 11, 1690, 16779, 12446, 1855, 1060, 4245, 311, 6996, 315, 6300, 24494, 323, 6300, 11983, 4367, 449, 279, 1314, 4907, 49117, 13, 68502, 315, 8798, 2391, 9439, 15956, 1253, 3063, 311, 42631, 5435, 11, 9950, 1605, 91299, 323, 41713, 8951, 13, 4314, 4787, 1253, 3719, 25114, 11, 6522, 311, 4648, 11, 5423, 311, 279, 9191, 323, 14992, 9659, 13, 21246, 5493, 505, 66851, 45034, 32113, 1701, 13414, 4907, 311, 18979, 29528, 2237, 9057, 555, 6996, 315, 4907, 323, 3665, 389, 19123, 627, 12, 12634, 70274, 11767, 311, 10723, 2890, 198, 33775, 19542, 1253, 3063, 311, 4689, 18547, 323, 18710, 4245, 311, 2204, 8631, 1105, 20162, 311, 279, 5496, 4787, 13, 15483, 4787, 2997, 198, 12, 73782, 29487, 44776, 430, 11767, 311, 8430, 559, 6633, 323, 9439, 682, 1938, 323, 3814, 4245, 311, 41369, 2136, 323, 5496, 304, 9439, 198, 12, 468, 8635, 287, 922, 279, 4907, 19123, 323, 1268, 311, 25760, 1124, 1523, 5423, 2391, 279, 12688, 3280, 198, 12, 52347, 82, 922, 45305, 323, 357, 98671, 2065, 198, 12, 4060, 1711, 279, 44776, 315, 14713, 1523, 389, 3691, 311, 10150, 323, 3665, 389, 279, 4907, 19123, 198, 12, 1102, 305, 32551, 23362, 34871, 198, 33775, 16264, 14365, 311, 77623, 11, 6873, 11, 2890, 2512, 323, 19647, 13, 68502, 315, 6300, 33538, 29034, 4676, 40800, 11, 8617, 22978, 279, 9886, 315, 810, 19647, 430, 1304, 1274, 47379, 5208, 1555, 14740, 13, 1952, 6873, 11, 6996, 315, 4907, 1253, 5471, 2911, 505, 5403, 304, 279, 11714, 13, 1628, 389, 2890, 2512, 11, 433, 10215, 2680, 311, 6220, 323, 10819, 24099, 323, 6514, 13, 6104, 389, 3674, 77249, 11, 433, 29034, 8689, 505, 6975, 315, 2204, 5627, 311, 7068, 8070, 323, 45830, 449, 279, 1917, 627, 43, 474, 315, 4907, 22223, 4395, 505, 51647, 1695, 13639, 311, 6593, 5687, 311, 1664, 88202, 8853, 311, 17677, 13, 64285, 3278, 323, 2911, 11984, 279, 64391, 315, 4907, 19542, 2533, 814, 8493, 1455, 315, 872, 892, 17677, 304, 34150, 4907, 323, 26984, 4027, 6798, 13, 735, 16671, 1022, 4907, 19542, 29575, 279, 4459, 4029, 3339, 433, 15062, 323, 6220, 323, 57796, 369, 4500, 6650, 13, 128001, 128000, 6919, 27868, 369, 2911, 520, 279, 4325, 505, 220, 20, 311, 220, 22, 1667, 2362, 627, 78646, 690, 636, 311, 1440, 35869, 11, 439, 1664, 439, 1405, 7795, 374, 3411, 369, 3691, 11, 1268, 311, 15641, 5526, 9606, 315, 7795, 323, 3485, 682, 1389, 584, 690, 1505, 704, 1148, 279, 2011, 1815, 374, 369, 13, 33025, 315, 7138, 690, 387, 11093, 449, 6677, 922, 7829, 26, 2911, 690, 1373, 279, 33894, 555, 4448, 3320, 26835, 10196, 1054, 9370, 1474, 589, 34805, 11453, 2468, 279, 842, 315, 279, 26129, 279, 13324, 690, 1893, 37498, 505, 279, 12290, 3148, 0, 128001 ]
[ -100, 52157, 5496, 2085, 279, 6617, 4907, 8336, 1093, 18200, 12153, 311, 27100, 11, 8343, 1664, 11, 6212, 304, 85979, 323, 8369, 10632, 13, 1789, 33151, 315, 1274, 31550, 11, 814, 3663, 4907, 19542, 1475, 1938, 13, 12634, 19542, 12716, 704, 264, 6023, 311, 3823, 4868, 449, 927, 220, 16, 13, 17, 7239, 1274, 31550, 32161, 2680, 311, 18200, 627, 58276, 11, 12634, 19542, 374, 279, 3325, 22628, 1376, 315, 3728, 3281, 34790, 430, 22223, 279, 1664, 33851, 11, 22655, 9498, 323, 3025, 311, 29761, 369, 279, 11754, 1274, 13, 1102, 3445, 264, 6996, 315, 2680, 311, 279, 6617, 7739, 315, 4907, 1093, 18200, 11, 323, 433, 753, 30706, 311, 16628, 1990, 4907, 90325, 10603, 11, 3428, 8070, 323, 4907, 7729, 13, 4452, 11, 5961, 1093, 1561, 17340, 527, 75701, 369, 23917, 323, 17049, 4907, 6067, 1093, 13238, 21988, 13, 2100, 11, 1618, 1268, 12634, 19542, 22223, 1274, 1664, 33851, 198, 12, 1102, 39168, 1124, 505, 32888, 2890, 13077, 369, 69074, 198, 2520, 279, 10896, 3318, 304, 5789, 38097, 311, 4907, 19542, 11, 433, 9067, 82, 1124, 505, 3318, 1306, 44084, 11, 16472, 11, 12153, 311, 3790, 2890, 69074, 13, 9742, 311, 4907, 8779, 311, 3160, 268, 279, 3318, 2919, 369, 6593, 5687, 323, 12992, 279, 1396, 315, 6978, 18677, 311, 304, 264, 1938, 627, 50674, 11, 994, 279, 14830, 13077, 6996, 9249, 18186, 11, 814, 5766, 3815, 49785, 2370, 16346, 323, 69570, 13, 50935, 287, 97294, 477, 53354, 68823, 1701, 8009, 18186, 34103, 459, 5217, 5326, 13, 1102, 3445, 369, 279, 5789, 38097, 311, 4907, 19542, 433, 753, 2653, 311, 3665, 264, 2324, 13, 24296, 11, 5789, 449, 4907, 19542, 1304, 433, 2653, 311, 2567, 2324, 14324, 31010, 11, 6680, 990, 323, 40300, 627, 12, 12634, 70274, 11767, 311, 10648, 315, 11660, 2410, 20054, 5983, 198, 34160, 311, 6996, 315, 18200, 11, 1455, 1274, 3469, 311, 1005, 597, 6398, 1994, 50552, 11, 1825, 30619, 27176, 11, 11756, 477, 61203, 430, 9221, 71134, 519, 6522, 311, 5370, 49909, 13, 735, 6398, 1994, 1253, 3063, 311, 9572, 11, 51643, 323, 50160, 21271, 734, 13, 1102, 1101, 12992, 50600, 19338, 1093, 88234, 11, 1418, 11756, 323, 61203, 11384, 2204, 42631, 19338, 627, 12, 1102, 11767, 311, 7319, 12688, 16779, 198, 1688, 279, 1455, 14560, 315, 12688, 11, 1690, 16779, 12446, 1855, 1060, 4245, 311, 6996, 315, 6300, 24494, 323, 6300, 11983, 4367, 449, 279, 1314, 4907, 49117, 13, 68502, 315, 8798, 2391, 9439, 15956, 1253, 3063, 311, 42631, 5435, 11, 9950, 1605, 91299, 323, 41713, 8951, 13, 4314, 4787, 1253, 3719, 25114, 11, 6522, 311, 4648, 11, 5423, 311, 279, 9191, 323, 14992, 9659, 13, 21246, 5493, 505, 66851, 45034, 32113, 1701, 13414, 4907, 311, 18979, 29528, 2237, 9057, 555, 6996, 315, 4907, 323, 3665, 389, 19123, 627, 12, 12634, 70274, 11767, 311, 10723, 2890, 198, 33775, 19542, 1253, 3063, 311, 4689, 18547, 323, 18710, 4245, 311, 2204, 8631, 1105, 20162, 311, 279, 5496, 4787, 13, 15483, 4787, 2997, 198, 12, 73782, 29487, 44776, 430, 11767, 311, 8430, 559, 6633, 323, 9439, 682, 1938, 323, 3814, 4245, 311, 41369, 2136, 323, 5496, 304, 9439, 198, 12, 468, 8635, 287, 922, 279, 4907, 19123, 323, 1268, 311, 25760, 1124, 1523, 5423, 2391, 279, 12688, 3280, 198, 12, 52347, 82, 922, 45305, 323, 357, 98671, 2065, 198, 12, 4060, 1711, 279, 44776, 315, 14713, 1523, 389, 3691, 311, 10150, 323, 3665, 389, 279, 4907, 19123, 198, 12, 1102, 305, 32551, 23362, 34871, 198, 33775, 16264, 14365, 311, 77623, 11, 6873, 11, 2890, 2512, 323, 19647, 13, 68502, 315, 6300, 33538, 29034, 4676, 40800, 11, 8617, 22978, 279, 9886, 315, 810, 19647, 430, 1304, 1274, 47379, 5208, 1555, 14740, 13, 1952, 6873, 11, 6996, 315, 4907, 1253, 5471, 2911, 505, 5403, 304, 279, 11714, 13, 1628, 389, 2890, 2512, 11, 433, 10215, 2680, 311, 6220, 323, 10819, 24099, 323, 6514, 13, 6104, 389, 3674, 77249, 11, 433, 29034, 8689, 505, 6975, 315, 2204, 5627, 311, 7068, 8070, 323, 45830, 449, 279, 1917, 627, 43, 474, 315, 4907, 22223, 4395, 505, 51647, 1695, 13639, 311, 6593, 5687, 311, 1664, 88202, 8853, 311, 17677, 13, 64285, 3278, 323, 2911, 11984, 279, 64391, 315, 4907, 19542, 2533, 814, 8493, 1455, 315, 872, 892, 17677, 304, 34150, 4907, 323, 26984, 4027, 6798, 13, 735, 16671, 1022, 4907, 19542, 29575, 279, 4459, 4029, 3339, 433, 15062, 323, 6220, 323, 57796, 369, 4500, 6650, 13, 128001, -100, 6919, 27868, 369, 2911, 520, 279, 4325, 505, 220, 20, 311, 220, 22, 1667, 2362, 627, 78646, 690, 636, 311, 1440, 35869, 11, 439, 1664, 439, 1405, 7795, 374, 3411, 369, 3691, 11, 1268, 311, 15641, 5526, 9606, 315, 7795, 323, 3485, 682, 1389, 584, 690, 1505, 704, 1148, 279, 2011, 1815, 374, 369, 13, 33025, 315, 7138, 690, 387, 11093, 449, 6677, 922, 7829, 26, 2911, 690, 1373, 279, 33894, 555, 4448, 3320, 26835, 10196, 1054, 9370, 1474, 589, 34805, 11453, 2468, 279, 842, 315, 279, 26129, 279, 13324, 690, 1893, 37498, 505, 279, 12290, 3148, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 ]
[ 128000, 52355, 13, 578, 1828, 63849, 42904, 315, 279, 30467, 84870, 374, 4946, 11, 477, 430, 3700, 13421, 315, 279, 19048, 4359, 49001, 304, 264, 1455, 4832, 11827, 1283, 374, 18949, 449, 66569, 304, 66569, 11, 323, 449, 682, 2574, 430, 527, 539, 14329, 311, 21058, 13, 4800, 11, 4946, 374, 539, 3025, 311, 387, 15164, 311, 4359, 11, 1606, 1283, 374, 17326, 11, 14188, 374, 433, 19180, 505, 15984, 772, 304, 264, 55625, 21347, 13, 23150, 11, 433, 374, 6847, 279, 1176, 3700, 13421, 4315, 682, 11, 311, 387, 279, 38031, 315, 872, 1866, 6299, 1555, 44222, 19581, 117999, 100430, 100607, 73986, 105127, 34369, 11, 1949, 690, 11, 2085, 902, 1611, 488, 374, 539, 3025, 311, 387, 50178, 13, 25215, 1587, 279, 2467, 269, 2968, 315, 264, 3245, 7655, 11, 304, 279, 2410, 315, 902, 374, 912, 36693, 367, 4184, 311, 4946, 315, 1695, 477, 14289, 13, 25215, 374, 279, 1455, 4832, 4946, 315, 4359, 3025, 311, 387, 15164, 11, 422, 832, 75112, 311, 279, 5788, 11, 46643, 11, 323, 3109, 315, 682, 3549, 2574, 13, 23150, 11, 1148, 4946, 374, 3025, 311, 387, 304, 279, 53614, 11, 279, 53120, 287, 2539, 2136, 315, 902, 1587, 539, 3073, 304, 279, 36778, 11, 304, 264, 11827, 7655, 481, 311, 21058, 30, 16299, 1578, 4131, 311, 387, 10555, 2403, 279, 85937, 2191, 315, 3165, 3394, 4458, 11, 889, 29260, 4946, 505, 813, 4359, 1101, 11, 902, 568, 6880, 279, 33270, 323, 14850, 315, 41660, 25, 1518, 452, 5484, 52, 54, 1863, 79445, 11, 2895, 73316, 5355, 1901, 52316, 45897, 11, 961, 17244, 11, 12735, 54343, 11, 17036, 220, 19, 11, 220, 20, 11, 2199, 220, 17058, 11, 12735, 96860, 11, 17036, 220, 22, 12, 24, 11, 6959, 220, 3101, 12, 13364, 13, 763, 61118, 54250, 11119, 684, 315, 420, 3460, 374, 53611, 30706, 311, 4359, 11, 82976, 220, 7322, 25, 18, 26, 76607, 220, 19, 25, 806, 11, 1418, 3629, 1101, 304, 61118, 54250, 279, 4946, 315, 4359, 72214, 555, 2322, 7987, 88, 315, 90695, 11, 1665, 11, 477, 2515, 11, 304, 279, 2035, 315, 279, 3917, 477, 5353, 11, 279, 3245, 468, 4473, 11, 279, 3245, 430, 4359, 690, 82, 11, 19475, 220, 21, 25, 605, 26, 64530, 220, 2790, 25, 605, 627, 3617, 9371, 67, 19195, 11, 1322, 5923, 295, 11, 18042, 1468, 275, 11, 2394, 9371, 80757, 275, 11, 2417, 11053, 627, 1548, 33810, 82, 11, 1322, 5923, 1220, 11, 18042, 5014, 11, 68846, 82, 11, 435, 14643, 3385, 627, 2409, 279, 4972, 5552, 30296, 584, 527, 1101, 40464, 311, 6604, 315, 279, 4946, 315, 4359, 35342, 323, 67653, 5962, 11, 323, 430, 9615, 323, 7937, 2915, 11, 2533, 584, 1440, 555, 3217, 430, 4359, 706, 539, 289, 4473, 5414, 4459, 4946, 311, 10457, 8340, 505, 603, 26, 719, 520, 279, 1890, 892, 706, 289, 4473, 311, 54262, 1690, 2574, 11, 18815, 902, 264, 26314, 1047, 2736, 1027, 1903, 304, 279, 35825, 3799, 770, 11, 304, 279, 43746, 316, 315, 5414, 57201, 25, 16472, 1283, 1101, 289, 4473, 42048, 311, 3063, 279, 1648, 11, 304, 86055, 1990, 279, 35342, 20695, 33152, 311, 4359, 11, 323, 279, 67653, 5962, 20695, 33152, 311, 603, 11, 1611, 29051, 17404, 220, 1682, 25, 1682, 26, 389, 902, 1495, 8666, 1057, 41909, 11, 1398, 3035, 7709, 34495, 63633, 34495, 11, 3744, 8105, 11, 1398, 3035, 7709, 1630, 26, 323, 856, 507, 2214, 409, 469, 78, 934, 347, 47683, 2411, 1826, 304, 21302, 689, 578, 1640, 3074, 11, 6959, 220, 777, 11, 220, 508, 627, 36, 3096, 39, 7527, 2078, 11, 279, 83081, 11, 57342, 398, 9940, 4861, 420, 30296, 11, 304, 813, 70707, 33753, 2140, 12848, 13884, 372, 12454, 3400, 85, 3394, 11, 12735, 53694, 11, 3488, 14767, 11, 6959, 220, 16104, 11, 220, 15189, 26, 439, 11, 449, 5201, 311, 279, 4483, 1073, 820, 30296, 1457, 11223, 11, 426, 4760, 1170, 2078, 1101, 32839, 304, 578, 86735, 9371, 14588, 38344, 9371, 11, 2363, 8105, 11, 12735, 358, 11, 17036, 220, 1682, 11, 85842, 358, 11, 6959, 220, 14777, 11, 220, 15134, 12, 15231, 627, 7184, 11, 1521, 30296, 527, 682, 279, 810, 311, 387, 18908, 11, 2533, 505, 279, 35013, 315, 279, 30296, 1990, 279, 4946, 315, 3799, 770, 11, 902, 27667, 4455, 11, 323, 279, 4946, 315, 5075, 1512, 11, 902, 1685, 56236, 311, 264, 25442, 21347, 1202, 14523, 26, 323, 505, 279, 28519, 315, 279, 36007, 287, 4946, 7636, 11, 4184, 311, 902, 682, 2574, 527, 2884, 11, 279, 52181, 1572, 11, 2009, 40967, 869, 1705, 17706, 16, 60, 323, 22050, 880, 1705, 58, 17, 60, 32194, 430, 1070, 374, 912, 7589, 26, 323, 430, 16472, 58596, 927, 11411, 18098, 11, 779, 2663, 11, 374, 311, 387, 9120, 3384, 11, 323, 1070, 374, 311, 387, 264, 8893, 19830, 552, 36634, 304, 18098, 25, 1518, 350, 1741, 46, 42416, 27237, 97753, 67286, 473, 715, 3481, 17706, 18, 60, 37618, 18962, 2009, 40967, 1073, 26, 50708, 45368, 17706, 19, 60, 55806, 10782, 1901, 14466, 26554, 268, 389, 220, 17, 11291, 220, 16, 25, 21, 11, 961, 358, 11, 6959, 220, 18061, 11, 220, 17678, 26, 9440, 4064, 14757, 11, 4950, 67462, 328, 621, 437, 380, 14848, 451, 5964, 17706, 20, 60, 864, 1594, 17601, 220, 23, 26, 39022, 12735, 30768, 11, 17036, 220, 777, 11, 220, 1627, 12, 1591, 26, 12735, 58333, 11, 17036, 220, 845, 12, 777, 11, 220, 1987, 12, 2983, 627, 43061, 420, 12015, 1073, 820, 4946, 1070, 374, 264, 66071, 11, 323, 16472, 48282, 459, 1883, 1415, 4208, 26, 3686, 61003, 527, 311, 387, 4529, 11, 64606, 584, 3596, 4510, 430, 264, 3082, 66659, 1990, 279, 4946, 67653, 5962, 477, 315, 7220, 11, 323, 35342, 477, 315, 7839, 33540, 4058, 11, 94663, 25, 14188, 279, 4567, 79, 25814, 315, 4359, 11, 6463, 279, 6383, 4107, 315, 279, 1890, 11, 6276, 420, 13, 4800, 11, 264, 837, 66659, 315, 420, 3460, 690, 387, 31890, 11, 422, 1193, 11, 220, 16, 13, 279, 7220, 387, 14183, 311, 5414, 7839, 33540, 4058, 13, 4359, 374, 3025, 311, 72333, 311, 264, 17661, 430, 433, 656, 1148, 11, 38330, 11, 1283, 1587, 539, 3604, 690, 433, 311, 656, 13, 1283, 374, 3025, 311, 2291, 73457, 40444, 11, 902, 1283, 1587, 539, 690, 311, 387, 2884, 13, 2030, 279, 7220, 1587, 539, 9093, 6996, 470, 630, 488, 449, 279, 3245, 1879, 1908, 13, 1789, 5075, 1512, 374, 264, 7220, 11, 539, 315, 430, 902, 4359, 3604, 690, 82, 520, 3160, 311, 3621, 11, 719, 1193, 315, 279, 29672, 311, 14523, 11, 311, 902, 4359, 84332, 555, 5075, 1512, 430, 1283, 690, 82, 5414, 9886, 311, 387, 6965, 13, 62965, 374, 264, 7220, 11, 14794, 287, 279, 4946, 315, 4359, 11, 539, 18815, 459, 29672, 27070, 389, 279, 17661, 311, 656, 430, 902, 374, 19698, 26, 719, 18815, 430, 902, 5042, 11, 323, 1101, 1455, 14134, 7953, 279, 49009, 14523, 315, 279, 25442, 17661, 11, 374, 3938, 13, 1628, 779, 11, 439, 59124, 11, 7498, 479, 22525, 311, 387, 7863, 449, 279, 12611, 287, 4946, 315, 4359, 11, 3998, 50831, 449, 279, 26679, 4946, 315, 4359, 627, 17, 13, 2057, 5766, 279, 11341, 315, 420, 3460, 315, 66659, 11, 59124, 22525, 539, 311, 387, 4529, 555, 603, 304, 904, 1023, 5647, 430, 304, 902, 814, 527, 9076, 4184, 311, 279, 14944, 315, 4359, 13, 3296, 60388, 275, 3044, 264, 7220, 374, 3025, 311, 387, 22486, 4184, 311, 279, 14944, 315, 4359, 11, 902, 374, 539, 5115, 3025, 311, 5101, 10973, 311, 832, 12798, 3345, 6666, 25, 4359, 374, 3025, 7170, 311, 14794, 5414, 4946, 26310, 11, 719, 279, 653, 30554, 1285, 690, 23289, 430, 1283, 706, 79754, 5414, 4459, 4946, 13, 763, 902, 5157, 279, 7220, 374, 539, 311, 387, 11838, 810, 44029, 1109, 4359, 289, 4473, 433, 311, 387, 11838, 11, 1283, 1694, 279, 1888, 40399, 315, 59124, 2728, 555, 66569, 13, 14636, 4359, 54757, 37488, 311, 28235, 813, 4538, 26, 719, 520, 279, 1890, 892, 1283, 9927, 291, 505, 64482, 430, 1283, 574, 2133, 311, 3041, 420, 3290, 479, 311, 37488, 13, 23674, 11, 4359, 1047, 9927, 291, 430, 1283, 574, 2133, 311, 48486, 1461, 11, 430, 430, 3290, 479, 2643, 539, 387, 7263, 311, 11572, 25, 719, 420, 961, 315, 279, 30467, 7839, 33540, 4058, 574, 54117, 369, 1063, 892, 3686, 311, 10457, 304, 6367, 505, 37488, 26, 369, 11, 422, 3871, 449, 3290, 479, 4036, 37488, 1047, 1828, 1101, 1027, 1903, 810, 3738, 18815, 279, 15632, 11, 430, 3290, 479, 1053, 539, 617, 1903, 369, 279, 15389, 315, 813, 10082, 323, 9115, 2676, 7407, 21, 60, 9616, 468, 965, 39432, 691, 40702, 58, 22, 60, 1398, 3035, 7709, 288, 90602, 15540, 17244, 26, 9440, 1111, 1837, 1829, 40702, 3799, 329, 372, 578, 39227, 277, 372, 46069, 11, 17036, 220, 22, 12, 24, 11, 43516, 11, 85842, 220, 18, 11, 8310, 220, 4513, 23, 12, 8874, 16, 26, 82740, 19221, 355, 529, 70707, 33753, 2140, 12848, 13884, 372, 12454, 51983, 1122, 285, 11, 12735, 8105, 11, 3488, 40812, 11, 6959, 220, 3226, 12, 5538, 627, 58, 16, 60, 763, 220, 8258, 18, 11, 36532, 292, 13000, 2009, 40967, 1885, 11, 264, 13015, 315, 64265, 337, 11, 4756, 32450, 389, 9420, 13, 578, 2363, 574, 45487, 311, 387, 50500, 449, 279, 19094, 2191, 315, 3165, 3394, 4458, 11, 323, 2009, 40967, 1885, 574, 409, 3950, 627, 58, 17, 60, 41493, 569, 279, 842, 315, 279, 22084, 62655, 9478, 11, 40870, 2259, 355, 5355, 22050, 880, 11, 264, 13015, 304, 17340, 11, 3940, 264, 31237, 11, 4528, 311, 279, 2009, 40967, 869, 1705, 304, 872, 3165, 3394, 89, 4633, 19094, 2191, 13, 2435, 1101, 15164, 279, 8903, 315, 7589, 11, 323, 279, 520, 20324, 7138, 315, 3771, 753, 4648, 627, 58, 18, 60, 79997, 473, 19256, 5355, 3453, 16958, 531, 320, 11247, 21, 12, 11771, 15, 8, 574, 264, 6063, 1050, 10365, 578, 1640, 1122, 13, 1283, 10434, 439, 17054, 315, 578, 2508, 520, 2009, 12770, 320, 11123, 19, 12, 11771, 15, 4390, 58, 19, 60, 35352, 44609, 7948, 1195, 320, 8953, 18, 12, 10005, 15, 8, 574, 264, 1050, 10365, 90602, 1122, 13, 1283, 10434, 439, 17054, 315, 578, 2508, 520, 11481, 261, 86, 19275, 320, 11123, 22, 12, 10005, 15, 4390, 58, 20, 60, 3165, 438, 675, 574, 264, 44044, 315, 507, 664, 18615, 68, 13, 1283, 574, 459, 15046, 315, 3165, 3394, 89, 2191, 11, 323, 568, 13487, 13000, 22050, 880, 315, 3165, 3394, 89, 4633, 33235, 627, 58, 21, 60, 3580, 41888, 220, 1313, 627, 58, 22, 60, 36783, 80474, 42368, 33830, 320, 11286, 19, 12, 10680, 17, 8, 574, 264, 1050, 10365, 578, 1640, 1122, 323, 72146, 13, 1283, 10434, 439, 432, 1279, 520, 1901, 261, 25604, 505, 220, 10718, 15, 311, 220, 10680, 17, 13, 128001, 128000, 2341, 322, 3028, 320, 66, 8, 5210, 13, 2052, 3268, 4694, 627, 322, 10311, 1234, 279, 15210, 5842, 13, 3580, 12367, 22030, 1052, 304, 279, 2447, 3789, 369, 2539, 5842, 2038, 627, 6454, 322, 366, 1889, 397, 5645, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 198, 1467, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 271, 6038, 366, 13068, 34, 51549, 11271, 56725, 14, 4695, 55, 56725, 7227, 870, 1363, 2730, 1416, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 740, 322, 694, 1889, 397, 128001 ]
[ -100, 52355, 13, 578, 1828, 63849, 42904, 315, 279, 30467, 84870, 374, 4946, 11, 477, 430, 3700, 13421, 315, 279, 19048, 4359, 49001, 304, 264, 1455, 4832, 11827, 1283, 374, 18949, 449, 66569, 304, 66569, 11, 323, 449, 682, 2574, 430, 527, 539, 14329, 311, 21058, 13, 4800, 11, 4946, 374, 539, 3025, 311, 387, 15164, 311, 4359, 11, 1606, 1283, 374, 17326, 11, 14188, 374, 433, 19180, 505, 15984, 772, 304, 264, 55625, 21347, 13, 23150, 11, 433, 374, 6847, 279, 1176, 3700, 13421, 4315, 682, 11, 311, 387, 279, 38031, 315, 872, 1866, 6299, 1555, 44222, 19581, 117999, 100430, 100607, 73986, 105127, 34369, 11, 1949, 690, 11, 2085, 902, 1611, 488, 374, 539, 3025, 311, 387, 50178, 13, 25215, 1587, 279, 2467, 269, 2968, 315, 264, 3245, 7655, 11, 304, 279, 2410, 315, 902, 374, 912, 36693, 367, 4184, 311, 4946, 315, 1695, 477, 14289, 13, 25215, 374, 279, 1455, 4832, 4946, 315, 4359, 3025, 311, 387, 15164, 11, 422, 832, 75112, 311, 279, 5788, 11, 46643, 11, 323, 3109, 315, 682, 3549, 2574, 13, 23150, 11, 1148, 4946, 374, 3025, 311, 387, 304, 279, 53614, 11, 279, 53120, 287, 2539, 2136, 315, 902, 1587, 539, 3073, 304, 279, 36778, 11, 304, 264, 11827, 7655, 481, 311, 21058, 30, 16299, 1578, 4131, 311, 387, 10555, 2403, 279, 85937, 2191, 315, 3165, 3394, 4458, 11, 889, 29260, 4946, 505, 813, 4359, 1101, 11, 902, 568, 6880, 279, 33270, 323, 14850, 315, 41660, 25, 1518, 452, 5484, 52, 54, 1863, 79445, 11, 2895, 73316, 5355, 1901, 52316, 45897, 11, 961, 17244, 11, 12735, 54343, 11, 17036, 220, 19, 11, 220, 20, 11, 2199, 220, 17058, 11, 12735, 96860, 11, 17036, 220, 22, 12, 24, 11, 6959, 220, 3101, 12, 13364, 13, 763, 61118, 54250, 11119, 684, 315, 420, 3460, 374, 53611, 30706, 311, 4359, 11, 82976, 220, 7322, 25, 18, 26, 76607, 220, 19, 25, 806, 11, 1418, 3629, 1101, 304, 61118, 54250, 279, 4946, 315, 4359, 72214, 555, 2322, 7987, 88, 315, 90695, 11, 1665, 11, 477, 2515, 11, 304, 279, 2035, 315, 279, 3917, 477, 5353, 11, 279, 3245, 468, 4473, 11, 279, 3245, 430, 4359, 690, 82, 11, 19475, 220, 21, 25, 605, 26, 64530, 220, 2790, 25, 605, 627, 3617, 9371, 67, 19195, 11, 1322, 5923, 295, 11, 18042, 1468, 275, 11, 2394, 9371, 80757, 275, 11, 2417, 11053, 627, 1548, 33810, 82, 11, 1322, 5923, 1220, 11, 18042, 5014, 11, 68846, 82, 11, 435, 14643, 3385, 627, 2409, 279, 4972, 5552, 30296, 584, 527, 1101, 40464, 311, 6604, 315, 279, 4946, 315, 4359, 35342, 323, 67653, 5962, 11, 323, 430, 9615, 323, 7937, 2915, 11, 2533, 584, 1440, 555, 3217, 430, 4359, 706, 539, 289, 4473, 5414, 4459, 4946, 311, 10457, 8340, 505, 603, 26, 719, 520, 279, 1890, 892, 706, 289, 4473, 311, 54262, 1690, 2574, 11, 18815, 902, 264, 26314, 1047, 2736, 1027, 1903, 304, 279, 35825, 3799, 770, 11, 304, 279, 43746, 316, 315, 5414, 57201, 25, 16472, 1283, 1101, 289, 4473, 42048, 311, 3063, 279, 1648, 11, 304, 86055, 1990, 279, 35342, 20695, 33152, 311, 4359, 11, 323, 279, 67653, 5962, 20695, 33152, 311, 603, 11, 1611, 29051, 17404, 220, 1682, 25, 1682, 26, 389, 902, 1495, 8666, 1057, 41909, 11, 1398, 3035, 7709, 34495, 63633, 34495, 11, 3744, 8105, 11, 1398, 3035, 7709, 1630, 26, 323, 856, 507, 2214, 409, 469, 78, 934, 347, 47683, 2411, 1826, 304, 21302, 689, 578, 1640, 3074, 11, 6959, 220, 777, 11, 220, 508, 627, 36, 3096, 39, 7527, 2078, 11, 279, 83081, 11, 57342, 398, 9940, 4861, 420, 30296, 11, 304, 813, 70707, 33753, 2140, 12848, 13884, 372, 12454, 3400, 85, 3394, 11, 12735, 53694, 11, 3488, 14767, 11, 6959, 220, 16104, 11, 220, 15189, 26, 439, 11, 449, 5201, 311, 279, 4483, 1073, 820, 30296, 1457, 11223, 11, 426, 4760, 1170, 2078, 1101, 32839, 304, 578, 86735, 9371, 14588, 38344, 9371, 11, 2363, 8105, 11, 12735, 358, 11, 17036, 220, 1682, 11, 85842, 358, 11, 6959, 220, 14777, 11, 220, 15134, 12, 15231, 627, 7184, 11, 1521, 30296, 527, 682, 279, 810, 311, 387, 18908, 11, 2533, 505, 279, 35013, 315, 279, 30296, 1990, 279, 4946, 315, 3799, 770, 11, 902, 27667, 4455, 11, 323, 279, 4946, 315, 5075, 1512, 11, 902, 1685, 56236, 311, 264, 25442, 21347, 1202, 14523, 26, 323, 505, 279, 28519, 315, 279, 36007, 287, 4946, 7636, 11, 4184, 311, 902, 682, 2574, 527, 2884, 11, 279, 52181, 1572, 11, 2009, 40967, 869, 1705, 17706, 16, 60, 323, 22050, 880, 1705, 58, 17, 60, 32194, 430, 1070, 374, 912, 7589, 26, 323, 430, 16472, 58596, 927, 11411, 18098, 11, 779, 2663, 11, 374, 311, 387, 9120, 3384, 11, 323, 1070, 374, 311, 387, 264, 8893, 19830, 552, 36634, 304, 18098, 25, 1518, 350, 1741, 46, 42416, 27237, 97753, 67286, 473, 715, 3481, 17706, 18, 60, 37618, 18962, 2009, 40967, 1073, 26, 50708, 45368, 17706, 19, 60, 55806, 10782, 1901, 14466, 26554, 268, 389, 220, 17, 11291, 220, 16, 25, 21, 11, 961, 358, 11, 6959, 220, 18061, 11, 220, 17678, 26, 9440, 4064, 14757, 11, 4950, 67462, 328, 621, 437, 380, 14848, 451, 5964, 17706, 20, 60, 864, 1594, 17601, 220, 23, 26, 39022, 12735, 30768, 11, 17036, 220, 777, 11, 220, 1627, 12, 1591, 26, 12735, 58333, 11, 17036, 220, 845, 12, 777, 11, 220, 1987, 12, 2983, 627, 43061, 420, 12015, 1073, 820, 4946, 1070, 374, 264, 66071, 11, 323, 16472, 48282, 459, 1883, 1415, 4208, 26, 3686, 61003, 527, 311, 387, 4529, 11, 64606, 584, 3596, 4510, 430, 264, 3082, 66659, 1990, 279, 4946, 67653, 5962, 477, 315, 7220, 11, 323, 35342, 477, 315, 7839, 33540, 4058, 11, 94663, 25, 14188, 279, 4567, 79, 25814, 315, 4359, 11, 6463, 279, 6383, 4107, 315, 279, 1890, 11, 6276, 420, 13, 4800, 11, 264, 837, 66659, 315, 420, 3460, 690, 387, 31890, 11, 422, 1193, 11, 220, 16, 13, 279, 7220, 387, 14183, 311, 5414, 7839, 33540, 4058, 13, 4359, 374, 3025, 311, 72333, 311, 264, 17661, 430, 433, 656, 1148, 11, 38330, 11, 1283, 1587, 539, 3604, 690, 433, 311, 656, 13, 1283, 374, 3025, 311, 2291, 73457, 40444, 11, 902, 1283, 1587, 539, 690, 311, 387, 2884, 13, 2030, 279, 7220, 1587, 539, 9093, 6996, 470, 630, 488, 449, 279, 3245, 1879, 1908, 13, 1789, 5075, 1512, 374, 264, 7220, 11, 539, 315, 430, 902, 4359, 3604, 690, 82, 520, 3160, 311, 3621, 11, 719, 1193, 315, 279, 29672, 311, 14523, 11, 311, 902, 4359, 84332, 555, 5075, 1512, 430, 1283, 690, 82, 5414, 9886, 311, 387, 6965, 13, 62965, 374, 264, 7220, 11, 14794, 287, 279, 4946, 315, 4359, 11, 539, 18815, 459, 29672, 27070, 389, 279, 17661, 311, 656, 430, 902, 374, 19698, 26, 719, 18815, 430, 902, 5042, 11, 323, 1101, 1455, 14134, 7953, 279, 49009, 14523, 315, 279, 25442, 17661, 11, 374, 3938, 13, 1628, 779, 11, 439, 59124, 11, 7498, 479, 22525, 311, 387, 7863, 449, 279, 12611, 287, 4946, 315, 4359, 11, 3998, 50831, 449, 279, 26679, 4946, 315, 4359, 627, 17, 13, 2057, 5766, 279, 11341, 315, 420, 3460, 315, 66659, 11, 59124, 22525, 539, 311, 387, 4529, 555, 603, 304, 904, 1023, 5647, 430, 304, 902, 814, 527, 9076, 4184, 311, 279, 14944, 315, 4359, 13, 3296, 60388, 275, 3044, 264, 7220, 374, 3025, 311, 387, 22486, 4184, 311, 279, 14944, 315, 4359, 11, 902, 374, 539, 5115, 3025, 311, 5101, 10973, 311, 832, 12798, 3345, 6666, 25, 4359, 374, 3025, 7170, 311, 14794, 5414, 4946, 26310, 11, 719, 279, 653, 30554, 1285, 690, 23289, 430, 1283, 706, 79754, 5414, 4459, 4946, 13, 763, 902, 5157, 279, 7220, 374, 539, 311, 387, 11838, 810, 44029, 1109, 4359, 289, 4473, 433, 311, 387, 11838, 11, 1283, 1694, 279, 1888, 40399, 315, 59124, 2728, 555, 66569, 13, 14636, 4359, 54757, 37488, 311, 28235, 813, 4538, 26, 719, 520, 279, 1890, 892, 1283, 9927, 291, 505, 64482, 430, 1283, 574, 2133, 311, 3041, 420, 3290, 479, 311, 37488, 13, 23674, 11, 4359, 1047, 9927, 291, 430, 1283, 574, 2133, 311, 48486, 1461, 11, 430, 430, 3290, 479, 2643, 539, 387, 7263, 311, 11572, 25, 719, 420, 961, 315, 279, 30467, 7839, 33540, 4058, 574, 54117, 369, 1063, 892, 3686, 311, 10457, 304, 6367, 505, 37488, 26, 369, 11, 422, 3871, 449, 3290, 479, 4036, 37488, 1047, 1828, 1101, 1027, 1903, 810, 3738, 18815, 279, 15632, 11, 430, 3290, 479, 1053, 539, 617, 1903, 369, 279, 15389, 315, 813, 10082, 323, 9115, 2676, 7407, 21, 60, 9616, 468, 965, 39432, 691, 40702, 58, 22, 60, 1398, 3035, 7709, 288, 90602, 15540, 17244, 26, 9440, 1111, 1837, 1829, 40702, 3799, 329, 372, 578, 39227, 277, 372, 46069, 11, 17036, 220, 22, 12, 24, 11, 43516, 11, 85842, 220, 18, 11, 8310, 220, 4513, 23, 12, 8874, 16, 26, 82740, 19221, 355, 529, 70707, 33753, 2140, 12848, 13884, 372, 12454, 51983, 1122, 285, 11, 12735, 8105, 11, 3488, 40812, 11, 6959, 220, 3226, 12, 5538, 627, 58, 16, 60, 763, 220, 8258, 18, 11, 36532, 292, 13000, 2009, 40967, 1885, 11, 264, 13015, 315, 64265, 337, 11, 4756, 32450, 389, 9420, 13, 578, 2363, 574, 45487, 311, 387, 50500, 449, 279, 19094, 2191, 315, 3165, 3394, 4458, 11, 323, 2009, 40967, 1885, 574, 409, 3950, 627, 58, 17, 60, 41493, 569, 279, 842, 315, 279, 22084, 62655, 9478, 11, 40870, 2259, 355, 5355, 22050, 880, 11, 264, 13015, 304, 17340, 11, 3940, 264, 31237, 11, 4528, 311, 279, 2009, 40967, 869, 1705, 304, 872, 3165, 3394, 89, 4633, 19094, 2191, 13, 2435, 1101, 15164, 279, 8903, 315, 7589, 11, 323, 279, 520, 20324, 7138, 315, 3771, 753, 4648, 627, 58, 18, 60, 79997, 473, 19256, 5355, 3453, 16958, 531, 320, 11247, 21, 12, 11771, 15, 8, 574, 264, 6063, 1050, 10365, 578, 1640, 1122, 13, 1283, 10434, 439, 17054, 315, 578, 2508, 520, 2009, 12770, 320, 11123, 19, 12, 11771, 15, 4390, 58, 19, 60, 35352, 44609, 7948, 1195, 320, 8953, 18, 12, 10005, 15, 8, 574, 264, 1050, 10365, 90602, 1122, 13, 1283, 10434, 439, 17054, 315, 578, 2508, 520, 11481, 261, 86, 19275, 320, 11123, 22, 12, 10005, 15, 4390, 58, 20, 60, 3165, 438, 675, 574, 264, 44044, 315, 507, 664, 18615, 68, 13, 1283, 574, 459, 15046, 315, 3165, 3394, 89, 2191, 11, 323, 568, 13487, 13000, 22050, 880, 315, 3165, 3394, 89, 4633, 33235, 627, 58, 21, 60, 3580, 41888, 220, 1313, 627, 58, 22, 60, 36783, 80474, 42368, 33830, 320, 11286, 19, 12, 10680, 17, 8, 574, 264, 1050, 10365, 578, 1640, 1122, 323, 72146, 13, 1283, 10434, 439, 432, 1279, 520, 1901, 261, 25604, 505, 220, 10718, 15, 311, 220, 10680, 17, 13, 128001, -100, 2341, 322, 3028, 320, 66, 8, 5210, 13, 2052, 3268, 4694, 627, 322, 10311, 1234, 279, 15210, 5842, 13, 3580, 12367, 22030, 1052, 304, 279, 2447, 3789, 369, 2539, 5842, 2038, 627, 6454, 322, 366, 1889, 397, 5645, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 198, 1467, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 271, 6038, 366, 13068, 34, 51549, 11271, 56725, 14, 4695, 55, 56725, 7227, 870, 1363, 2730, 1416, 5210, 34, 51549, 11271, 56725, 1702, 1907, 3252, 72453, 1552, 740, 322, 694, 1889, 397, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93 ]
[ 128000, 1687, 617, 1373, 279, 3446, 1054, 46, 27515, 17781, 11453, 1115, 374, 832, 315, 1057, 2132, 12239, 753, 1054, 98745, 22755, 11453, 1226, 690, 30963, 304, 15499, 311, 1518, 1148, 11003, 11031, 22195, 816, 17648, 1511, 323, 584, 690, 1456, 704, 1521, 11031, 304, 1057, 1866, 4477, 13, 26379, 2997, 26, 1701, 1057, 38207, 11, 682, 37822, 323, 1732, 2461, 627, 4959, 1938, 2391, 1057, 29084, 30155, 11, 1403, 2911, 690, 387, 3025, 311, 4430, 459, 1537, 477, 3137, 922, 2555, 3062, 311, 1124, 13, 578, 1023, 2911, 690, 387, 3025, 311, 2610, 4860, 323, 3493, 72739, 311, 279, 19114, 13, 1115, 5820, 374, 6319, 311, 1520, 1862, 279, 2911, 753, 12365, 323, 14624, 7512, 13, 1102, 1101, 8779, 4236, 6725, 7231, 323, 12588, 72739, 13, 9930, 499, 311, 279, 1510, 4948, 6117, 388, 889, 62653, 420, 449, 1057, 538, 627, 13359, 499, 311, 1057, 53082, 7395, 2999, 13, 7023, 278, 4317, 288, 369, 18667, 1057, 538, 311, 1373, 1054, 53477, 1764, 20263, 279, 468, 8635, 13257, 863, 555, 40394, 12797, 13, 1226, 15243, 922, 15174, 584, 1436, 1456, 994, 584, 527, 18290, 520, 2978, 323, 2162, 13, 1226, 14407, 1148, 574, 279, 3229, 753, 7580, 14, 28595, 304, 279, 3446, 627, 37, 60004, 25, 9930, 499, 369, 279, 19289, 13, 46982, 279, 1060, 584, 690, 1514, 3953, 1701, 1124, 13, 763, 1057, 1176, 7033, 5089, 11, 279, 2911, 527, 25607, 19289, 323, 872, 2819, 323, 7999, 311, 220, 1041, 198, 1687, 617, 9983, 53389, 449, 1057, 2978, 3674, 12128, 11, 18083, 13, 18063, 1855, 7950, 6693, 13, 1226, 690, 4358, 1057, 16024, 11, 71705, 11, 5627, 311, 387, 264, 1695, 4333, 323, 5627, 311, 1304, 4885, 627, 40, 3987, 5127, 14333, 279, 1176, 1938, 0, 1226, 617, 1778, 3169, 4236, 304, 1057, 538, 0, 1226, 1373, 856, 832, 315, 856, 7075, 7493, 11, 1054, 791, 735, 13889, 25844, 863, 555, 91149, 13813, 13, 358, 649, 1431, 3868, 311, 1518, 279, 2911, 16986, 4999, 2898, 46, 22938, 30155, 198, 21013, 6699, 612, 72881, 10788, 340, 41619, 11, 6250, 220, 806, 339, 765, 220, 22, 12, 24, 5975, 198, 2645, 266, 783, 393, 5319, 12332, 30155, 198, 7, 2460, 6699, 612, 72881, 10788, 340, 41619, 11, 6664, 220, 17, 303, 765, 220, 22, 12, 24, 5975, 198, 2645, 266, 783, 3772, 4219, 198, 2645, 266, 783, 432, 4093, 100240, 198, 791, 54035, 783, 6150, 393, 5319, 374, 6380, 311, 3131, 1578, 3085, 279, 54035, 783, 432, 4093, 100240, 13, 15394, 1205, 7878, 3805, 323, 16166, 1514, 18254, 13, 1442, 2911, 10894, 872, 16166, 17895, 477, 422, 814, 656, 539, 617, 2680, 311, 16166, 17895, 11, 814, 4250, 1514, 21676, 323, 4774, 2915, 13, 578, 432, 4093, 100240, 374, 264, 4526, 315, 5995, 16166, 17895, 779, 430, 1475, 1716, 520, 54035, 783, 649, 387, 8369, 323, 9235, 2391, 47862, 11, 912, 5030, 279, 9282, 13, 5751, 3674, 7487, 690, 1101, 6958, 505, 420, 4526, 369, 1057, 2911, 889, 1205, 420, 17895, 520, 2162, 439, 1664, 439, 2978, 627, 1687, 527, 3411, 369, 23872, 311, 1520, 420, 5149, 0, 1442, 499, 527, 10032, 311, 1520, 3460, 17895, 24910, 323, 5255, 11623, 12688, 14787, 6957, 279, 1060, 11, 4587, 2613, 735, 732, 13, 735, 29686, 89, 520, 49293, 73737, 36587, 2726, 13, 1226, 527, 2103, 3815, 459, 15808, 315, 1148, 584, 617, 505, 1566, 1060, 11, 719, 11383, 584, 6667, 25, 11422, 56737, 11, 11422, 26302, 11, 12688, 56737, 11, 12056, 25567, 11, 12056, 26302, 11, 323, 11292, 36516, 1198, 304, 682, 12562, 505, 220, 20, 51, 311, 2911, 596, 220, 845, 13, 1666, 499, 3240, 311, 3460, 1555, 701, 2911, 596, 704, 62376, 3673, 11, 4587, 2980, 61959, 1124, 311, 1057, 47862, 33044, 13, 4497, 2038, 922, 279, 4526, 1920, 690, 387, 5108, 5246, 1198, 9901, 499, 369, 21363, 389, 311, 3673, 4999, 52430, 30800, 9983, 612, 26987, 11851, 198, 38888, 11, 6250, 220, 777, 339, 765, 220, 20, 25, 966, 12, 22, 25, 966, 5975, 198, 2855, 467, 2696, 25, 7742, 11, 6250, 220, 1187, 340, 1966, 6740, 11, 856, 4538, 56943, 9087, 311, 2231, 2978, 17135, 304, 1057, 47218, 15039, 13, 1283, 1101, 743, 709, 1057, 4477, 30342, 13, 358, 1781, 358, 4805, 18467, 1461, 4999, 4054, 315, 856, 7075, 2574, 311, 656, 439, 264, 11326, 374, 311, 10772, 1057, 24978, 369, 279, 14827, 1060, 13, 1102, 753, 2523, 311, 1781, 315, 264, 502, 7057, 320, 576, 1060, 433, 374, 4106, 3805, 70580, 8, 323, 358, 4774, 35821, 24978, 7526, 323, 17135, 13, 3092, 3450, 574, 264, 11326, 323, 12717, 369, 927, 220, 966, 1667, 323, 358, 10456, 10695, 1077, 57681, 1077, 24978, 994, 358, 574, 304, 856, 27294, 13, 358, 3987, 499, 690, 1781, 1057, 24978, 374, 439, 10107, 323, 71414, 439, 358, 656, 13, 358, 2103, 617, 810, 311, 656, 358, 4344, 22128, 279, 1920, 0, 358, 4805, 1772, 810, 7397, 5246, 4999, 8607, 9523, 311, 1057, 8056, 53082, 24909, 323, 92881, 369, 23395, 279, 11364, 502, 6603, 13, 11450, 584, 4036, 502, 15671, 369, 1057, 6017, 11378, 323, 11842, 58162, 8316, 13, 358, 649, 1431, 3868, 369, 279, 2911, 311, 30963, 1139, 1521, 4999, 19046, 4344, 4737, 961, 304, 264, 1403, 1938, 9983, 95300, 21579, 36202, 304, 53524, 13, 1226, 3207, 6975, 72345, 5528, 315, 41938, 323, 1268, 814, 649, 3063, 311, 264, 6928, 15632, 304, 1057, 4236, 13, 10291, 1457, 584, 3207, 7556, 922, 279, 1005, 315, 8271, 18808, 323, 45830, 449, 1063, 2523, 47623, 323, 3953, 4999, 40, 3782, 1139, 1057, 538, 3432, 323, 1766, 1690, 15039, 10409, 449, 2978, 17135, 0, 9176, 9523, 311, 1057, 393, 5319, 369, 22106, 1521, 369, 13639, 323, 369, 1057, 8689, 13, 578, 6685, 5039, 264, 25936, 315, 279, 70855, 4999, 1966, 7742, 11, 856, 24417, 4538, 56943, 11096, 1057, 538, 13, 1283, 1373, 264, 3446, 11, 9087, 1522, 704, 17135, 323, 7396, 4236, 439, 814, 19937, 709, 3673, 13, 1283, 2216, 14333, 6574, 1057, 4236, 13, 3277, 584, 4024, 704, 311, 47862, 11, 220, 20, 339, 6117, 388, 18719, 1461, 311, 5249, 872, 10536, 4047, 1847, 13, 9176, 9523, 311, 279, 54035, 783, 4029, 369, 36387, 1461, 4999, 52938, 311, 1057, 2132, 6117, 388, 369, 264, 6992, 4435, 37, 478, 0, 9930, 499, 6699, 369, 701, 1862, 0, 578, 2911, 753, 6821, 527, 779, 39319, 323, 872, 39568, 527, 20441, 4999, 15724, 2132, 6117, 388, 1051, 3025, 311, 636, 264, 12945, 315, 279, 925, 24198, 814, 690, 387, 3025, 311, 1514, 520, 2978, 304, 4948, 12239, 13, 2893, 389, 279, 72015, 369, 279, 76006, 369, 420, 10309, 2068, 627, 40, 3021, 19994, 8599, 1990, 279, 24978, 323, 279, 2911, 596, 10632, 13, 358, 1427, 4741, 311, 17437, 3629, 420, 1060, 0, 32833, 1949, 311, 5387, 6170, 0, 128001 ]
[ -100, 1687, 617, 1373, 279, 3446, 1054, 46, 27515, 17781, 11453, 1115, 374, 832, 315, 1057, 2132, 12239, 753, 1054, 98745, 22755, 11453, 1226, 690, 30963, 304, 15499, 311, 1518, 1148, 11003, 11031, 22195, 816, 17648, 1511, 323, 584, 690, 1456, 704, 1521, 11031, 304, 1057, 1866, 4477, 13, 26379, 2997, 26, 1701, 1057, 38207, 11, 682, 37822, 323, 1732, 2461, 627, 4959, 1938, 2391, 1057, 29084, 30155, 11, 1403, 2911, 690, 387, 3025, 311, 4430, 459, 1537, 477, 3137, 922, 2555, 3062, 311, 1124, 13, 578, 1023, 2911, 690, 387, 3025, 311, 2610, 4860, 323, 3493, 72739, 311, 279, 19114, 13, 1115, 5820, 374, 6319, 311, 1520, 1862, 279, 2911, 753, 12365, 323, 14624, 7512, 13, 1102, 1101, 8779, 4236, 6725, 7231, 323, 12588, 72739, 13, 9930, 499, 311, 279, 1510, 4948, 6117, 388, 889, 62653, 420, 449, 1057, 538, 627, 13359, 499, 311, 1057, 53082, 7395, 2999, 13, 7023, 278, 4317, 288, 369, 18667, 1057, 538, 311, 1373, 1054, 53477, 1764, 20263, 279, 468, 8635, 13257, 863, 555, 40394, 12797, 13, 1226, 15243, 922, 15174, 584, 1436, 1456, 994, 584, 527, 18290, 520, 2978, 323, 2162, 13, 1226, 14407, 1148, 574, 279, 3229, 753, 7580, 14, 28595, 304, 279, 3446, 627, 37, 60004, 25, 9930, 499, 369, 279, 19289, 13, 46982, 279, 1060, 584, 690, 1514, 3953, 1701, 1124, 13, 763, 1057, 1176, 7033, 5089, 11, 279, 2911, 527, 25607, 19289, 323, 872, 2819, 323, 7999, 311, 220, 1041, 198, 1687, 617, 9983, 53389, 449, 1057, 2978, 3674, 12128, 11, 18083, 13, 18063, 1855, 7950, 6693, 13, 1226, 690, 4358, 1057, 16024, 11, 71705, 11, 5627, 311, 387, 264, 1695, 4333, 323, 5627, 311, 1304, 4885, 627, 40, 3987, 5127, 14333, 279, 1176, 1938, 0, 1226, 617, 1778, 3169, 4236, 304, 1057, 538, 0, 1226, 1373, 856, 832, 315, 856, 7075, 7493, 11, 1054, 791, 735, 13889, 25844, 863, 555, 91149, 13813, 13, 358, 649, 1431, 3868, 311, 1518, 279, 2911, 16986, 4999, 2898, 46, 22938, 30155, 198, 21013, 6699, 612, 72881, 10788, 340, 41619, 11, 6250, 220, 806, 339, 765, 220, 22, 12, 24, 5975, 198, 2645, 266, 783, 393, 5319, 12332, 30155, 198, 7, 2460, 6699, 612, 72881, 10788, 340, 41619, 11, 6664, 220, 17, 303, 765, 220, 22, 12, 24, 5975, 198, 2645, 266, 783, 3772, 4219, 198, 2645, 266, 783, 432, 4093, 100240, 198, 791, 54035, 783, 6150, 393, 5319, 374, 6380, 311, 3131, 1578, 3085, 279, 54035, 783, 432, 4093, 100240, 13, 15394, 1205, 7878, 3805, 323, 16166, 1514, 18254, 13, 1442, 2911, 10894, 872, 16166, 17895, 477, 422, 814, 656, 539, 617, 2680, 311, 16166, 17895, 11, 814, 4250, 1514, 21676, 323, 4774, 2915, 13, 578, 432, 4093, 100240, 374, 264, 4526, 315, 5995, 16166, 17895, 779, 430, 1475, 1716, 520, 54035, 783, 649, 387, 8369, 323, 9235, 2391, 47862, 11, 912, 5030, 279, 9282, 13, 5751, 3674, 7487, 690, 1101, 6958, 505, 420, 4526, 369, 1057, 2911, 889, 1205, 420, 17895, 520, 2162, 439, 1664, 439, 2978, 627, 1687, 527, 3411, 369, 23872, 311, 1520, 420, 5149, 0, 1442, 499, 527, 10032, 311, 1520, 3460, 17895, 24910, 323, 5255, 11623, 12688, 14787, 6957, 279, 1060, 11, 4587, 2613, 735, 732, 13, 735, 29686, 89, 520, 49293, 73737, 36587, 2726, 13, 1226, 527, 2103, 3815, 459, 15808, 315, 1148, 584, 617, 505, 1566, 1060, 11, 719, 11383, 584, 6667, 25, 11422, 56737, 11, 11422, 26302, 11, 12688, 56737, 11, 12056, 25567, 11, 12056, 26302, 11, 323, 11292, 36516, 1198, 304, 682, 12562, 505, 220, 20, 51, 311, 2911, 596, 220, 845, 13, 1666, 499, 3240, 311, 3460, 1555, 701, 2911, 596, 704, 62376, 3673, 11, 4587, 2980, 61959, 1124, 311, 1057, 47862, 33044, 13, 4497, 2038, 922, 279, 4526, 1920, 690, 387, 5108, 5246, 1198, 9901, 499, 369, 21363, 389, 311, 3673, 4999, 52430, 30800, 9983, 612, 26987, 11851, 198, 38888, 11, 6250, 220, 777, 339, 765, 220, 20, 25, 966, 12, 22, 25, 966, 5975, 198, 2855, 467, 2696, 25, 7742, 11, 6250, 220, 1187, 340, 1966, 6740, 11, 856, 4538, 56943, 9087, 311, 2231, 2978, 17135, 304, 1057, 47218, 15039, 13, 1283, 1101, 743, 709, 1057, 4477, 30342, 13, 358, 1781, 358, 4805, 18467, 1461, 4999, 4054, 315, 856, 7075, 2574, 311, 656, 439, 264, 11326, 374, 311, 10772, 1057, 24978, 369, 279, 14827, 1060, 13, 1102, 753, 2523, 311, 1781, 315, 264, 502, 7057, 320, 576, 1060, 433, 374, 4106, 3805, 70580, 8, 323, 358, 4774, 35821, 24978, 7526, 323, 17135, 13, 3092, 3450, 574, 264, 11326, 323, 12717, 369, 927, 220, 966, 1667, 323, 358, 10456, 10695, 1077, 57681, 1077, 24978, 994, 358, 574, 304, 856, 27294, 13, 358, 3987, 499, 690, 1781, 1057, 24978, 374, 439, 10107, 323, 71414, 439, 358, 656, 13, 358, 2103, 617, 810, 311, 656, 358, 4344, 22128, 279, 1920, 0, 358, 4805, 1772, 810, 7397, 5246, 4999, 8607, 9523, 311, 1057, 8056, 53082, 24909, 323, 92881, 369, 23395, 279, 11364, 502, 6603, 13, 11450, 584, 4036, 502, 15671, 369, 1057, 6017, 11378, 323, 11842, 58162, 8316, 13, 358, 649, 1431, 3868, 369, 279, 2911, 311, 30963, 1139, 1521, 4999, 19046, 4344, 4737, 961, 304, 264, 1403, 1938, 9983, 95300, 21579, 36202, 304, 53524, 13, 1226, 3207, 6975, 72345, 5528, 315, 41938, 323, 1268, 814, 649, 3063, 311, 264, 6928, 15632, 304, 1057, 4236, 13, 10291, 1457, 584, 3207, 7556, 922, 279, 1005, 315, 8271, 18808, 323, 45830, 449, 1063, 2523, 47623, 323, 3953, 4999, 40, 3782, 1139, 1057, 538, 3432, 323, 1766, 1690, 15039, 10409, 449, 2978, 17135, 0, 9176, 9523, 311, 1057, 393, 5319, 369, 22106, 1521, 369, 13639, 323, 369, 1057, 8689, 13, 578, 6685, 5039, 264, 25936, 315, 279, 70855, 4999, 1966, 7742, 11, 856, 24417, 4538, 56943, 11096, 1057, 538, 13, 1283, 1373, 264, 3446, 11, 9087, 1522, 704, 17135, 323, 7396, 4236, 439, 814, 19937, 709, 3673, 13, 1283, 2216, 14333, 6574, 1057, 4236, 13, 3277, 584, 4024, 704, 311, 47862, 11, 220, 20, 339, 6117, 388, 18719, 1461, 311, 5249, 872, 10536, 4047, 1847, 13, 9176, 9523, 311, 279, 54035, 783, 4029, 369, 36387, 1461, 4999, 52938, 311, 1057, 2132, 6117, 388, 369, 264, 6992, 4435, 37, 478, 0, 9930, 499, 6699, 369, 701, 1862, 0, 578, 2911, 753, 6821, 527, 779, 39319, 323, 872, 39568, 527, 20441, 4999, 15724, 2132, 6117, 388, 1051, 3025, 311, 636, 264, 12945, 315, 279, 925, 24198, 814, 690, 387, 3025, 311, 1514, 520, 2978, 304, 4948, 12239, 13, 2893, 389, 279, 72015, 369, 279, 76006, 369, 420, 10309, 2068, 627, 40, 3021, 19994, 8599, 1990, 279, 24978, 323, 279, 2911, 596, 10632, 13, 358, 1427, 4741, 311, 17437, 3629, 420, 1060, 0, 32833, 1949, 311, 5387, 6170, 0, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109 ]
[ 128000, 791, 22454, 902, 81081, 33792, 323, 91605, 4958, 3993, 574, 279, 198, 14704, 11484, 95794, 2768, 279, 3778, 16803, 5111, 649, 46882, 387, 7633, 439, 198, 64, 12876, 311, 32593, 279, 3224, 6288, 323, 2085, 5986, 16024, 2768, 279, 4208, 627, 3923, 574, 279, 35439, 7580, 315, 279, 87976, 5794, 596, 22555, 5380, 998, 1520, 32760, 7652, 311, 872, 94621, 11542, 198, 28055, 279, 16803, 5111, 323, 95794, 11, 902, 8331, 23540, 279, 4987, 596, 7100, 4500, 5380, 64, 6996, 315, 3682, 9919, 304, 279, 4987, 198, 3923, 574, 279, 836, 315, 279, 9266, 430, 574, 3549, 304, 220, 9714, 20, 311, 743, 709, 8853, 11, 8312, 3691, 11, 323, 11886, 14740, 4819, 369, 279, 4846, 32760, 5380, 1820, 87976, 5794, 596, 22555, 198, 791, 6299, 315, 279, 9540, 8722, 1306, 279, 16803, 5111, 1051, 810, 37849, 311, 198, 72191, 13076, 12034, 627, 9673, 527, 23524, 902, 3109, 2068, 5380, 85973, 304, 220, 9714, 20, 198, 14260, 11736, 291, 4846, 32760, 1505, 10632, 11, 14740, 198, 14260, 77171, 304, 220, 9674, 16, 198, 791, 666, 404, 46487, 11, 13625, 46487, 11, 323, 19009, 46487, 99317, 1051, 682, 3062, 38314, 311, 279, 18039, 1606, 814, 198, 4383, 291, 4819, 430, 20162, 311, 279, 16803, 5111, 627, 2028, 28238, 574, 3549, 15871, 369, 279, 7580, 315, 198, 52727, 287, 4846, 32760, 8657, 48468, 627, 644, 3778, 3925, 11, 279, 4751, 330, 697, 48297, 1, 19813, 311, 198, 69, 5187, 3109, 21623, 304, 279, 4846, 57457, 5415, 304, 2015, 311, 8891, 279, 6514, 315, 4846, 32760, 627, 1548, 574, 279, 1176, 11904, 3778, 311, 8854, 304, 279, 549, 815, 13, 8151, 11, 13788, 439, 264, 23072, 505, 279, 1614, 315, 29538, 505, 220, 9674, 15, 482, 220, 9674, 16, 627, 2028, 37038, 505, 24097, 6244, 4900, 2768, 279, 49417, 315, 37488, 25379, 11, 3010, 10671, 279, 1176, 4900, 311, 387, 36126, 3939, 320, 383, 574, 1766, 539, 16390, 4390, 2028, 374, 832, 315, 279, 1772, 7813, 6362, 5111, 41693, 311, 279, 2326, 18039, 430, 5764, 279, 24586, 8773, 323, 39574, 19721, 2493, 36243, 627, 2028, 574, 279, 1176, 10474, 315, 13758, 279, 16642, 5415, 311, 279, 9323, 320, 9714, 18, 12, 9714, 21, 8, 323, 574, 6197, 555, 25379, 323, 11605, 13, 11699, 5915, 574, 311, 35740, 635, 6288, 323, 70351, 627, 2028, 374, 279, 1314, 315, 682, 11434, 311, 387, 12020, 14470, 323, 18813, 555, 279, 7016, 323, 19359, 627, 23956, 5224, 46882, 15100, 3249, 95794, 9670, 5380, 1737, 11167, 315, 95794, 49918, 25983, 1606, 315, 5054, 30485, 627, 3923, 1912, 574, 3549, 304, 220, 9714, 20, 304, 35962, 1091, 72, 11, 24097, 11, 369, 279, 7580, 315, 27252, 2225, 279, 7620, 315, 95794, 323, 7016, 22923, 19739, 22526, 5380, 42, 84, 29041, 2249, 88441, 198, 3923, 4751, 16964, 264, 4251, 5945, 700, 1215, 889, 7396, 18671, 95794, 10396, 1306, 279, 16803, 5111, 5380, 23956, 374, 279, 46882, 4096, 315, 279, 2704, 315, 7102, 4398, 304, 279, 4987, 304, 279, 1667, 2768, 95794, 5380, 28055, 95794, 11, 11904, 9053, 16654, 1555, 264, 91590, 315, 19739, 21934, 11, 24020, 11, 326, 69581, 826, 11, 323, 9349, 627, 23956, 4900, 574, 304, 2410, 994, 279, 87976, 5794, 596, 22555, 574, 94544, 6601, 5380, 52, 398, 784, 288, 328, 13, 24668, 198, 791, 220, 1032, 339, 11, 220, 975, 339, 11, 323, 220, 868, 339, 99317, 311, 279, 18039, 1051, 80617, 555, 682, 315, 279, 2768, 4154, 21752, 198, 49488, 348, 13, 8925, 315, 11930, 627, 25370, 315, 279, 33479, 29041, 2249, 88441, 320, 51557, 42, 8, 80199, 7708, 42, 50309, 85161, 16642, 11969, 304, 2015, 311, 198, 613, 19704, 279, 88441, 596, 5054, 52805, 627, 23956, 5224, 374, 837, 9002, 279, 842, 315, 279, 95794, 11639, 5380, 1383, 220, 9674, 22, 11, 12643, 1047, 86025, 5054, 2410, 304, 682, 18561, 5415, 627, 791, 7580, 315, 11641, 27991, 7016, 574, 311, 198, 3261, 439, 1790, 13096, 1990, 279, 21234, 439, 3284, 627, 23956, 1912, 574, 3549, 304, 3389, 220, 9714, 20, 311, 22884, 95794, 9045, 304, 279, 4987, 5380, 1820, 33479, 29041, 2249, 88441, 198, 16366, 6355, 439, 279, 220, 777, 339, 4900, 315, 279, 3723, 4273, 12, 9523, 311, 279, 13620, 5386, 315, 220, 9674, 22, 12, 7263, 459, 842, 311, 279, 95794, 48688, 627, 2028, 574, 279, 836, 2728, 311, 264, 1912, 315, 16642, 12643, 889, 6575, 311, 1464, 279, 2410, 315, 13063, 304, 279, 4987, 2391, 279, 95794, 11639, 627, 2028, 9323, 3331, 1903, 264, 836, 369, 5678, 520, 279, 52791, 520, 650, 5908, 10481, 11, 3582, 568, 3010, 24164, 8563, 469, 13, 12336, 596, 13309, 315, 17355, 13286, 311, 842, 279, 16803, 5111, 627, 52, 398, 784, 288, 328, 13, 24668, 198, 2028, 95794, 11639, 4947, 6688, 16043, 3268, 1193, 311, 1274, 6832, 6800, 69, 19568, 1047, 1027, 26267, 5535, 311, 7055, 11, 8617, 28544, 28634, 5794, 505, 16043, 627, 2028, 574, 279, 6425, 311, 279, 57310, 42855, 6355, 315, 220, 9674, 21, 323, 78637, 7263, 459, 842, 311, 279, 4261, 315, 95794, 2768, 279, 16803, 5111, 627, 13864, 5386, 315, 220, 9674, 22, 128001, 128000, 20577, 276, 26047, 3314, 574, 264, 82660, 989, 1614, 315, 6890, 2391, 279, 8013, 26291, 627, 791, 6864, 574, 279, 3363, 315, 11165, 276, 26047, 13, 1102, 574, 21989, 555, 279, 445, 2319, 5676, 320, 72995, 13915, 7609, 6104, 279, 6931, 3925, 315, 279, 3070, 374, 40634, 11, 279, 3070, 706, 14132, 12439, 304, 6890, 2533, 520, 3325, 279, 220, 845, 339, 9478, 26, 264, 2291, 68760, 315, 279, 3070, 374, 93072, 311, 617, 11077, 279, 31087, 1355, 1601, 315, 279, 386, 7595, 278, 57883, 16762, 2308, 323, 4036, 11165, 276, 26047, 323, 14932, 5789, 439, 57587, 894, 13, 4452, 11, 279, 3070, 4131, 1139, 13970, 71199, 2391, 279, 4261, 315, 56399, 430, 8272, 279, 58964, 315, 35731, 526, 3059, 65, 304, 279, 4216, 220, 972, 339, 9478, 13, 1102, 574, 85378, 5246, 27905, 555, 279, 2947, 589, 300, 26, 279, 445, 57572, 285, 8272, 279, 9327, 315, 11125, 93370, 304, 279, 8013, 6460, 6890, 8351, 2403, 1124, 323, 5616, 10862, 279, 41164, 30764, 1887, 304, 220, 10562, 22, 11, 3235, 449, 682, 1023, 62027, 5415, 627, 791, 1614, 38632, 291, 459, 3158, 315, 220, 10967, 21, 13437, 30556, 320, 25178, 9686, 30556, 8, 323, 264, 7187, 11, 304, 220, 7028, 16, 11, 315, 220, 9716, 11, 23103, 13, 578, 6424, 315, 11165, 276, 26047, 52258, 264, 7187, 315, 1193, 220, 4728, 15, 1274, 430, 1060, 13, 578, 1614, 54757, 264, 13254, 315, 13489, 19766, 13, 1135, 11, 931, 24572, 824, 1060, 11, 323, 7318, 264, 35491, 311, 279, 18879, 1247, 86, 329, 11, 279, 2947, 66826, 49080, 315, 4821, 14320, 11, 315, 19766, 13, 17, 11, 22210, 24572, 824, 1060, 13, 1102, 574, 30517, 291, 555, 279, 1925, 1584, 315, 279, 26291, 631, 3444, 5364, 278, 10196, 40106, 11, 323, 13282, 279, 8013, 16869, 263, 479, 315, 1611, 23174, 13, 56738, 11, 20228, 323, 13465, 1824, 2194, 1051, 279, 10388, 3956, 13, 10164, 291, 555, 279, 21252, 2227, 9491, 15140, 11, 279, 1614, 574, 17345, 13952, 291, 304, 1202, 18671, 8813, 320, 1820, 3118, 11477, 23908, 461, 51639, 8, 719, 2073, 15853, 323, 1825, 304, 279, 10007, 323, 11226, 13, 578, 3224, 574, 389, 279, 4459, 14738, 305, 14722, 11, 1694, 520, 279, 6964, 315, 279, 1676, 402, 96893, 16842, 627, 644, 220, 6393, 15, 11165, 276, 26047, 3314, 1047, 264, 7187, 315, 220, 15189, 11, 22869, 627, 20577, 276, 26047, 3314, 574, 56767, 304, 220, 6393, 24, 627, 12, 19326, 8288, 2877, 2910, 1751, 44392, 7870, 261, 13, 281, 13, 220, 9335, 18, 13, 128001, 128000, 78613, 17569, 11, 34833, 3967, 439, 11452, 4620, 23508, 11, 574, 9749, 304, 279, 2326, 304, 220, 1049, 21, 13, 763, 220, 1049, 23, 11, 584, 6137, 7677, 304, 279, 26363, 11, 8104, 304, 56609, 1718, 276, 4409, 449, 1193, 220, 19, 2539, 7394, 8420, 13, 1628, 304, 220, 679, 17, 11, 584, 17626, 1057, 4009, 304, 356, 3141, 84, 4409, 311, 29068, 311, 1057, 7982, 18651, 369, 1917, 15144, 55946, 13, 8876, 1243, 11, 49175, 17569, 706, 1457, 15042, 505, 220, 19, 311, 810, 1109, 220, 966, 2539, 7394, 8420, 11, 323, 2103, 43071, 7982, 627, 78613, 17569, 46672, 304, 279, 2955, 323, 9889, 315, 8572, 4476, 13, 1226, 6106, 279, 4367, 315, 1057, 3956, 1555, 264, 70099, 4500, 1920, 323, 709, 4791, 18920, 14645, 13, 128001 ]
[ -100, 791, 22454, 902, 81081, 33792, 323, 91605, 4958, 3993, 574, 279, 198, 14704, 11484, 95794, 2768, 279, 3778, 16803, 5111, 649, 46882, 387, 7633, 439, 198, 64, 12876, 311, 32593, 279, 3224, 6288, 323, 2085, 5986, 16024, 2768, 279, 4208, 627, 3923, 574, 279, 35439, 7580, 315, 279, 87976, 5794, 596, 22555, 5380, 998, 1520, 32760, 7652, 311, 872, 94621, 11542, 198, 28055, 279, 16803, 5111, 323, 95794, 11, 902, 8331, 23540, 279, 4987, 596, 7100, 4500, 5380, 64, 6996, 315, 3682, 9919, 304, 279, 4987, 198, 3923, 574, 279, 836, 315, 279, 9266, 430, 574, 3549, 304, 220, 9714, 20, 311, 743, 709, 8853, 11, 8312, 3691, 11, 323, 11886, 14740, 4819, 369, 279, 4846, 32760, 5380, 1820, 87976, 5794, 596, 22555, 198, 791, 6299, 315, 279, 9540, 8722, 1306, 279, 16803, 5111, 1051, 810, 37849, 311, 198, 72191, 13076, 12034, 627, 9673, 527, 23524, 902, 3109, 2068, 5380, 85973, 304, 220, 9714, 20, 198, 14260, 11736, 291, 4846, 32760, 1505, 10632, 11, 14740, 198, 14260, 77171, 304, 220, 9674, 16, 198, 791, 666, 404, 46487, 11, 13625, 46487, 11, 323, 19009, 46487, 99317, 1051, 682, 3062, 38314, 311, 279, 18039, 1606, 814, 198, 4383, 291, 4819, 430, 20162, 311, 279, 16803, 5111, 627, 2028, 28238, 574, 3549, 15871, 369, 279, 7580, 315, 198, 52727, 287, 4846, 32760, 8657, 48468, 627, 644, 3778, 3925, 11, 279, 4751, 330, 697, 48297, 1, 19813, 311, 198, 69, 5187, 3109, 21623, 304, 279, 4846, 57457, 5415, 304, 2015, 311, 8891, 279, 6514, 315, 4846, 32760, 627, 1548, 574, 279, 1176, 11904, 3778, 311, 8854, 304, 279, 549, 815, 13, 8151, 11, 13788, 439, 264, 23072, 505, 279, 1614, 315, 29538, 505, 220, 9674, 15, 482, 220, 9674, 16, 627, 2028, 37038, 505, 24097, 6244, 4900, 2768, 279, 49417, 315, 37488, 25379, 11, 3010, 10671, 279, 1176, 4900, 311, 387, 36126, 3939, 320, 383, 574, 1766, 539, 16390, 4390, 2028, 374, 832, 315, 279, 1772, 7813, 6362, 5111, 41693, 311, 279, 2326, 18039, 430, 5764, 279, 24586, 8773, 323, 39574, 19721, 2493, 36243, 627, 2028, 574, 279, 1176, 10474, 315, 13758, 279, 16642, 5415, 311, 279, 9323, 320, 9714, 18, 12, 9714, 21, 8, 323, 574, 6197, 555, 25379, 323, 11605, 13, 11699, 5915, 574, 311, 35740, 635, 6288, 323, 70351, 627, 2028, 374, 279, 1314, 315, 682, 11434, 311, 387, 12020, 14470, 323, 18813, 555, 279, 7016, 323, 19359, 627, 23956, 5224, 46882, 15100, 3249, 95794, 9670, 5380, 1737, 11167, 315, 95794, 49918, 25983, 1606, 315, 5054, 30485, 627, 3923, 1912, 574, 3549, 304, 220, 9714, 20, 304, 35962, 1091, 72, 11, 24097, 11, 369, 279, 7580, 315, 27252, 2225, 279, 7620, 315, 95794, 323, 7016, 22923, 19739, 22526, 5380, 42, 84, 29041, 2249, 88441, 198, 3923, 4751, 16964, 264, 4251, 5945, 700, 1215, 889, 7396, 18671, 95794, 10396, 1306, 279, 16803, 5111, 5380, 23956, 374, 279, 46882, 4096, 315, 279, 2704, 315, 7102, 4398, 304, 279, 4987, 304, 279, 1667, 2768, 95794, 5380, 28055, 95794, 11, 11904, 9053, 16654, 1555, 264, 91590, 315, 19739, 21934, 11, 24020, 11, 326, 69581, 826, 11, 323, 9349, 627, 23956, 4900, 574, 304, 2410, 994, 279, 87976, 5794, 596, 22555, 574, 94544, 6601, 5380, 52, 398, 784, 288, 328, 13, 24668, 198, 791, 220, 1032, 339, 11, 220, 975, 339, 11, 323, 220, 868, 339, 99317, 311, 279, 18039, 1051, 80617, 555, 682, 315, 279, 2768, 4154, 21752, 198, 49488, 348, 13, 8925, 315, 11930, 627, 25370, 315, 279, 33479, 29041, 2249, 88441, 320, 51557, 42, 8, 80199, 7708, 42, 50309, 85161, 16642, 11969, 304, 2015, 311, 198, 613, 19704, 279, 88441, 596, 5054, 52805, 627, 23956, 5224, 374, 837, 9002, 279, 842, 315, 279, 95794, 11639, 5380, 1383, 220, 9674, 22, 11, 12643, 1047, 86025, 5054, 2410, 304, 682, 18561, 5415, 627, 791, 7580, 315, 11641, 27991, 7016, 574, 311, 198, 3261, 439, 1790, 13096, 1990, 279, 21234, 439, 3284, 627, 23956, 1912, 574, 3549, 304, 3389, 220, 9714, 20, 311, 22884, 95794, 9045, 304, 279, 4987, 5380, 1820, 33479, 29041, 2249, 88441, 198, 16366, 6355, 439, 279, 220, 777, 339, 4900, 315, 279, 3723, 4273, 12, 9523, 311, 279, 13620, 5386, 315, 220, 9674, 22, 12, 7263, 459, 842, 311, 279, 95794, 48688, 627, 2028, 574, 279, 836, 2728, 311, 264, 1912, 315, 16642, 12643, 889, 6575, 311, 1464, 279, 2410, 315, 13063, 304, 279, 4987, 2391, 279, 95794, 11639, 627, 2028, 9323, 3331, 1903, 264, 836, 369, 5678, 520, 279, 52791, 520, 650, 5908, 10481, 11, 3582, 568, 3010, 24164, 8563, 469, 13, 12336, 596, 13309, 315, 17355, 13286, 311, 842, 279, 16803, 5111, 627, 52, 398, 784, 288, 328, 13, 24668, 198, 2028, 95794, 11639, 4947, 6688, 16043, 3268, 1193, 311, 1274, 6832, 6800, 69, 19568, 1047, 1027, 26267, 5535, 311, 7055, 11, 8617, 28544, 28634, 5794, 505, 16043, 627, 2028, 574, 279, 6425, 311, 279, 57310, 42855, 6355, 315, 220, 9674, 21, 323, 78637, 7263, 459, 842, 311, 279, 4261, 315, 95794, 2768, 279, 16803, 5111, 627, 13864, 5386, 315, 220, 9674, 22, 128001, -100, 20577, 276, 26047, 3314, 574, 264, 82660, 989, 1614, 315, 6890, 2391, 279, 8013, 26291, 627, 791, 6864, 574, 279, 3363, 315, 11165, 276, 26047, 13, 1102, 574, 21989, 555, 279, 445, 2319, 5676, 320, 72995, 13915, 7609, 6104, 279, 6931, 3925, 315, 279, 3070, 374, 40634, 11, 279, 3070, 706, 14132, 12439, 304, 6890, 2533, 520, 3325, 279, 220, 845, 339, 9478, 26, 264, 2291, 68760, 315, 279, 3070, 374, 93072, 311, 617, 11077, 279, 31087, 1355, 1601, 315, 279, 386, 7595, 278, 57883, 16762, 2308, 323, 4036, 11165, 276, 26047, 323, 14932, 5789, 439, 57587, 894, 13, 4452, 11, 279, 3070, 4131, 1139, 13970, 71199, 2391, 279, 4261, 315, 56399, 430, 8272, 279, 58964, 315, 35731, 526, 3059, 65, 304, 279, 4216, 220, 972, 339, 9478, 13, 1102, 574, 85378, 5246, 27905, 555, 279, 2947, 589, 300, 26, 279, 445, 57572, 285, 8272, 279, 9327, 315, 11125, 93370, 304, 279, 8013, 6460, 6890, 8351, 2403, 1124, 323, 5616, 10862, 279, 41164, 30764, 1887, 304, 220, 10562, 22, 11, 3235, 449, 682, 1023, 62027, 5415, 627, 791, 1614, 38632, 291, 459, 3158, 315, 220, 10967, 21, 13437, 30556, 320, 25178, 9686, 30556, 8, 323, 264, 7187, 11, 304, 220, 7028, 16, 11, 315, 220, 9716, 11, 23103, 13, 578, 6424, 315, 11165, 276, 26047, 52258, 264, 7187, 315, 1193, 220, 4728, 15, 1274, 430, 1060, 13, 578, 1614, 54757, 264, 13254, 315, 13489, 19766, 13, 1135, 11, 931, 24572, 824, 1060, 11, 323, 7318, 264, 35491, 311, 279, 18879, 1247, 86, 329, 11, 279, 2947, 66826, 49080, 315, 4821, 14320, 11, 315, 19766, 13, 17, 11, 22210, 24572, 824, 1060, 13, 1102, 574, 30517, 291, 555, 279, 1925, 1584, 315, 279, 26291, 631, 3444, 5364, 278, 10196, 40106, 11, 323, 13282, 279, 8013, 16869, 263, 479, 315, 1611, 23174, 13, 56738, 11, 20228, 323, 13465, 1824, 2194, 1051, 279, 10388, 3956, 13, 10164, 291, 555, 279, 21252, 2227, 9491, 15140, 11, 279, 1614, 574, 17345, 13952, 291, 304, 1202, 18671, 8813, 320, 1820, 3118, 11477, 23908, 461, 51639, 8, 719, 2073, 15853, 323, 1825, 304, 279, 10007, 323, 11226, 13, 578, 3224, 574, 389, 279, 4459, 14738, 305, 14722, 11, 1694, 520, 279, 6964, 315, 279, 1676, 402, 96893, 16842, 627, 644, 220, 6393, 15, 11165, 276, 26047, 3314, 1047, 264, 7187, 315, 220, 15189, 11, 22869, 627, 20577, 276, 26047, 3314, 574, 56767, 304, 220, 6393, 24, 627, 12, 19326, 8288, 2877, 2910, 1751, 44392, 7870, 261, 13, 281, 13, 220, 9335, 18, 13, 128001, -100, 78613, 17569, 11, 34833, 3967, 439, 11452, 4620, 23508, 11, 574, 9749, 304, 279, 2326, 304, 220, 1049, 21, 13, 763, 220, 1049, 23, 11, 584, 6137, 7677, 304, 279, 26363, 11, 8104, 304, 56609, 1718, 276, 4409, 449, 1193, 220, 19, 2539, 7394, 8420, 13, 1628, 304, 220, 679, 17, 11, 584, 17626, 1057, 4009, 304, 356, 3141, 84, 4409, 311, 29068, 311, 1057, 7982, 18651, 369, 1917, 15144, 55946, 13, 8876, 1243, 11, 49175, 17569, 706, 1457, 15042, 505, 220, 19, 311, 810, 1109, 220, 966, 2539, 7394, 8420, 11, 323, 2103, 43071, 7982, 627, 78613, 17569, 46672, 304, 279, 2955, 323, 9889, 315, 8572, 4476, 13, 1226, 6106, 279, 4367, 315, 1057, 3956, 1555, 264, 70099, 4500, 1920, 323, 709, 4791, 18920, 14645, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128 ]
[ 128000, 4599, 4359, 39875, 35272, 5659, 4718, 9601, 13, 1789, 8617, 2795, 279, 38031, 11, 1054, 3055, 539, 3810, 264, 3838, 315, 76350, 11, 477, 733, 311, 51472, 477, 311, 2393, 1124, 26, 2435, 10434, 872, 7580, 304, 856, 2324, 627, 7184, 14224, 11, 422, 420, 374, 1063, 16806, 11, 43658, 1732, 323, 13, 393, 488, 82426, 2136, 3070, 4648, 22973, 701, 3070, 4814, 315, 264, 10456, 832, 13, 1102, 374, 813, 690, 369, 856, 2324, 11, 8051, 602, 11203, 1618, 323, 16106, 449, 279, 6784, 323, 279, 4814, 315, 3738, 1274, 11, 602, 2733, 26259, 430, 568, 374, 3318, 323, 21730, 757, 304, 279, 35446, 315, 856, 6784, 627, 28622, 29260, 1274, 505, 701, 2324, 13, 4359, 5828, 1431, 7366, 304, 701, 11103, 1606, 568, 7020, 430, 499, 3287, 1431, 9352, 304, 430, 21503, 5133, 627, 16397, 279, 3115, 994, 10087, 5097, 2555, 3201, 505, 499, 11, 433, 753, 4228, 311, 2733, 23572, 291, 11, 439, 422, 10087, 574, 1063, 3169, 315, 4585, 261, 11, 7231, 1949, 10688, 323, 1243, 18054, 1124, 1306, 279, 89928, 617, 872, 30777, 304, 701, 4851, 13, 3297, 10087, 3719, 810, 323, 810, 1972, 311, 499, 323, 1520, 3041, 499, 6981, 627, 791, 38031, 753, 65352, 649, 387, 13, 4359, 8964, 430, 499, 23528, 2731, 627, 7009, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 13, 2468, 3115, 11, 499, 656, 539, 3619, 813, 8125, 11, 719, 4400, 374, 8340, 505, 10087, 627, 40, 8541, 311, 1781, 10087, 29260, 1274, 505, 856, 2324, 1606, 315, 832, 477, 1690, 8125, 25, 3277, 10087, 29260, 4423, 505, 1057, 6439, 11, 7344, 433, 753, 1606, 568, 8964, 430, 814, 3207, 21503, 369, 603, 627, 2746, 4423, 374, 28856, 311, 499, 304, 904, 1648, 11, 433, 596, 539, 10087, 596, 4294, 65, 1429, 311, 4148, 1124, 11, 433, 596, 18821, 320, 4291, 23788, 369, 813, 19351, 11, 24278, 11, 323, 9313, 570, 1226, 649, 1431, 7216, 433, 704, 304, 279, 4545, 477, 1524, 439, 892, 16609, 627, 8161, 1431, 387, 14792, 994, 1274, 2349, 389, 499, 477, 14429, 499, 477, 1095, 499, 1523, 1606, 430, 3445, 430, 10087, 6755, 499, 323, 568, 753, 36864, 701, 34296, 13, 2876, 682, 1274, 889, 2744, 2873, 42805, 2646, 1903, 264, 16930, 627, 3112, 779, 13967, 264, 5133, 13696, 374, 2555, 315, 1949, 690, 323, 7389, 1063, 81846, 5457, 477, 23788, 9057, 279, 1464, 709, 311, 12446, 602, 1541, 956, 1440, 422, 433, 596, 779, 1790, 315, 10087, 18054, 279, 1732, 505, 1057, 6439, 11, 719, 810, 779, 603, 3815, 433, 13, 4359, 8964, 889, 690, 387, 264, 3958, 10383, 323, 8964, 1148, 12544, 420, 2643, 4546, 11, 779, 10087, 11, 304, 813, 24278, 11, 29260, 4423, 430, 584, 2643, 539, 1524, 13383, 374, 43476, 603, 1523, 1981, 37860, 1139, 97727, 12659, 627, 32148, 11, 499, 1053, 2586, 4028, 1274, 889, 1053, 3021, 499, 83251, 13, 2435, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 627, 47, 488, 82426, 2136, 3070, 4648, 22973, 701, 3070, 4814, 315, 264, 10456, 832, 13, 3297, 10087, 3719, 810, 323, 810, 1972, 311, 499, 323, 1520, 3041, 499, 6981, 627, 4599, 4359, 39875, 9029, 5659, 4718, 9601, 765, 6914, 49038, 6122, 627, 2688, 2052, 9029, 10699, 8886, 17262, 2057, 1472, 15037, 9878, 2057, 92071, 1472, 627, 2746, 4423, 3727, 499, 3719, 264, 2731, 1732, 11, 2567, 1124, 13, 18156, 11, 499, 1053, 2586, 4028, 1274, 889, 1053, 3021, 499, 83251, 13, 3005, 374, 10978, 323, 18300, 627, 2170, 10087, 48542, 311, 3351, 499, 1139, 264, 502, 3280, 11, 568, 690, 4546, 477, 4148, 1274, 505, 701, 2324, 13, 17601, 994, 10087, 29260, 1274, 304, 856, 2324, 11, 568, 15972, 757, 311, 1981, 220, 16, 13, 358, 4344, 35072, 3352, 46291, 24429, 43366, 374, 20256, 279, 2723, 455, 3432, 4999, 2688, 30485, 449, 4205, 3958, 13, 4418, 1431, 387, 14792, 422, 10087, 29260, 832, 1732, 1306, 279, 1023, 994, 499, 24739, 369, 21730, 13, 4359, 7170, 29260, 264, 1732, 505, 701, 2324, 369, 701, 9313, 1541, 259, 1629, 1306, 1124, 627, 8100, 706, 264, 3446, 430, 690, 3449, 701, 4851, 304, 1202, 9235, 7634, 13, 4359, 374, 1778, 264, 1695, 7126, 13, 1226, 649, 1431, 7216, 433, 704, 304, 279, 4545, 477, 1524, 439, 892, 16609, 627, 2831, 479, 11, 10712, 11, 10082, 11, 8850, 11, 11542, 11, 21507, 13, 2435, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 13, 2876, 682, 1274, 889, 2744, 2873, 42805, 2646, 1903, 264, 16930, 627, 128001 ]
[ -100, 4599, 4359, 39875, 35272, 5659, 4718, 9601, 13, 1789, 8617, 2795, 279, 38031, 11, 1054, 3055, 539, 3810, 264, 3838, 315, 76350, 11, 477, 733, 311, 51472, 477, 311, 2393, 1124, 26, 2435, 10434, 872, 7580, 304, 856, 2324, 627, 7184, 14224, 11, 422, 420, 374, 1063, 16806, 11, 43658, 1732, 323, 13, 393, 488, 82426, 2136, 3070, 4648, 22973, 701, 3070, 4814, 315, 264, 10456, 832, 13, 1102, 374, 813, 690, 369, 856, 2324, 11, 8051, 602, 11203, 1618, 323, 16106, 449, 279, 6784, 323, 279, 4814, 315, 3738, 1274, 11, 602, 2733, 26259, 430, 568, 374, 3318, 323, 21730, 757, 304, 279, 35446, 315, 856, 6784, 627, 28622, 29260, 1274, 505, 701, 2324, 13, 4359, 5828, 1431, 7366, 304, 701, 11103, 1606, 568, 7020, 430, 499, 3287, 1431, 9352, 304, 430, 21503, 5133, 627, 16397, 279, 3115, 994, 10087, 5097, 2555, 3201, 505, 499, 11, 433, 753, 4228, 311, 2733, 23572, 291, 11, 439, 422, 10087, 574, 1063, 3169, 315, 4585, 261, 11, 7231, 1949, 10688, 323, 1243, 18054, 1124, 1306, 279, 89928, 617, 872, 30777, 304, 701, 4851, 13, 3297, 10087, 3719, 810, 323, 810, 1972, 311, 499, 323, 1520, 3041, 499, 6981, 627, 791, 38031, 753, 65352, 649, 387, 13, 4359, 8964, 430, 499, 23528, 2731, 627, 7009, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 13, 2468, 3115, 11, 499, 656, 539, 3619, 813, 8125, 11, 719, 4400, 374, 8340, 505, 10087, 627, 40, 8541, 311, 1781, 10087, 29260, 1274, 505, 856, 2324, 1606, 315, 832, 477, 1690, 8125, 25, 3277, 10087, 29260, 4423, 505, 1057, 6439, 11, 7344, 433, 753, 1606, 568, 8964, 430, 814, 3207, 21503, 369, 603, 627, 2746, 4423, 374, 28856, 311, 499, 304, 904, 1648, 11, 433, 596, 539, 10087, 596, 4294, 65, 1429, 311, 4148, 1124, 11, 433, 596, 18821, 320, 4291, 23788, 369, 813, 19351, 11, 24278, 11, 323, 9313, 570, 1226, 649, 1431, 7216, 433, 704, 304, 279, 4545, 477, 1524, 439, 892, 16609, 627, 8161, 1431, 387, 14792, 994, 1274, 2349, 389, 499, 477, 14429, 499, 477, 1095, 499, 1523, 1606, 430, 3445, 430, 10087, 6755, 499, 323, 568, 753, 36864, 701, 34296, 13, 2876, 682, 1274, 889, 2744, 2873, 42805, 2646, 1903, 264, 16930, 627, 3112, 779, 13967, 264, 5133, 13696, 374, 2555, 315, 1949, 690, 323, 7389, 1063, 81846, 5457, 477, 23788, 9057, 279, 1464, 709, 311, 12446, 602, 1541, 956, 1440, 422, 433, 596, 779, 1790, 315, 10087, 18054, 279, 1732, 505, 1057, 6439, 11, 719, 810, 779, 603, 3815, 433, 13, 4359, 8964, 889, 690, 387, 264, 3958, 10383, 323, 8964, 1148, 12544, 420, 2643, 4546, 11, 779, 10087, 11, 304, 813, 24278, 11, 29260, 4423, 430, 584, 2643, 539, 1524, 13383, 374, 43476, 603, 1523, 1981, 37860, 1139, 97727, 12659, 627, 32148, 11, 499, 1053, 2586, 4028, 1274, 889, 1053, 3021, 499, 83251, 13, 2435, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 627, 47, 488, 82426, 2136, 3070, 4648, 22973, 701, 3070, 4814, 315, 264, 10456, 832, 13, 3297, 10087, 3719, 810, 323, 810, 1972, 311, 499, 323, 1520, 3041, 499, 6981, 627, 4599, 4359, 39875, 9029, 5659, 4718, 9601, 765, 6914, 49038, 6122, 627, 2688, 2052, 9029, 10699, 8886, 17262, 2057, 1472, 15037, 9878, 2057, 92071, 1472, 627, 2746, 4423, 3727, 499, 3719, 264, 2731, 1732, 11, 2567, 1124, 13, 18156, 11, 499, 1053, 2586, 4028, 1274, 889, 1053, 3021, 499, 83251, 13, 3005, 374, 10978, 323, 18300, 627, 2170, 10087, 48542, 311, 3351, 499, 1139, 264, 502, 3280, 11, 568, 690, 4546, 477, 4148, 1274, 505, 701, 2324, 13, 17601, 994, 10087, 29260, 1274, 304, 856, 2324, 11, 568, 15972, 757, 311, 1981, 220, 16, 13, 358, 4344, 35072, 3352, 46291, 24429, 43366, 374, 20256, 279, 2723, 455, 3432, 4999, 2688, 30485, 449, 4205, 3958, 13, 4418, 1431, 387, 14792, 422, 10087, 29260, 832, 1732, 1306, 279, 1023, 994, 499, 24739, 369, 21730, 13, 4359, 7170, 29260, 264, 1732, 505, 701, 2324, 369, 701, 9313, 1541, 259, 1629, 1306, 1124, 627, 8100, 706, 264, 3446, 430, 690, 3449, 701, 4851, 304, 1202, 9235, 7634, 13, 4359, 374, 1778, 264, 1695, 7126, 13, 1226, 649, 1431, 7216, 433, 704, 304, 279, 4545, 477, 1524, 439, 892, 16609, 627, 2831, 479, 11, 10712, 11, 10082, 11, 8850, 11, 11542, 11, 21507, 13, 2435, 3287, 1431, 617, 856, 1888, 12034, 304, 4059, 13, 2876, 682, 1274, 889, 2744, 2873, 42805, 2646, 1903, 264, 16930, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735 ]
[ 128000, 10445, 656, 8853, 617, 68140, 5380, 791, 2383, 7612, 1855, 2978, 311, 617, 264, 10217, 2547, 1903, 709, 315, 1274, 889, 4097, 1690, 8173, 9875, 320, 16564, 6699, 11, 13639, 11, 279, 2254, 11447, 323, 279, 4029, 8, 323, 1202, 3465, 374, 311, 42003, 279, 4401, 315, 279, 2978, 520, 264, 19092, 2237, 627, 12686, 5706, 315, 94984, 1251, 81446, 198, 78706, 1105, 527, 1274, 889, 617, 459, 2802, 304, 279, 3560, 315, 8853, 304, 8396, 323, 6562, 311, 1304, 264, 6928, 19035, 311, 872, 10977, 13, 3861, 1401, 3465, 369, 10217, 13162, 374, 311, 12192, 1579, 10886, 315, 16627, 26501, 627, 15546, 527, 1057, 91089, 5380, 34, 24444, 26150, 6150, 94984, 1251, 14285, 43652, 220, 2366, 16, 1389, 220, 1313, 198, 7469, 22677, 320, 16, 8, 551, 4491, 622, 26952, 198, 7489, 57212, 291, 320, 20, 8, 551, 4491, 622, 60350, 1468, 320, 85295, 315, 91089, 1237, 4491, 328, 94294, 320, 53, 560, 16478, 315, 91089, 1237, 4491, 432, 64640, 82, 26, 1403, 67751, 198, 62869, 320, 19, 8, 551, 4491, 386, 65351, 13075, 26, 18083, 445, 16844, 26, 18083, 426, 57200, 26, 18083, 328, 13597, 1251, 783, 198, 34311, 320, 16, 8, 551, 18083, 469, 67188, 198, 12626, 24247, 551, 16450, 480, 426, 4336, 11088, 198, 2520, 4726, 2038, 922, 42547, 11, 28423, 323, 28116, 315, 68140, 11, 4587, 1684, 279, 2199, 3451, 78706, 1105, 529, 80057, 323, 8618, 315, 5783, 18450, 529, 128001, 128000, 3848, 2505, 13396, 31404, 612, 2006, 3848, 2505, 13396, 31404, 98509, 24271, 323, 38343, 63444, 16, 76241, 374, 650, 14140, 99868, 5380, 6231, 68, 99868, 9352, 311, 279, 1207, 110231, 355, 921, 541, 460, 13, 11205, 836, 374, 14592, 505, 279, 20023, 3492, 1054, 6231, 51313, 11453, 362, 5309, 44192, 1253, 387, 4613, 439, 264, 3361, 3169, 315, 44321, 349, 10065, 430, 706, 264, 7558, 321, 351, 61798, 477, 293, 3633, 842, 437, 28193, 31706, 315, 264, 1589, 35822, 11983, 264, 8271, 323, 264, 67861, 42743, 3330, 1555, 902, 279, 50112, 23125, 16609, 627, 17, 13, 16299, 527, 279, 15439, 1181, 582, 486, 5706, 315, 264, 67861, 65216, 5380, 791, 539, 5059, 541, 1343, 277, 853, 278, 342, 484, 59197, 1220, 323, 96146, 42902, 32015, 23125, 627, 18, 13, 578, 24569, 527, 12673, 311, 279, 842, 437, 28193, 311, 198, 1271, 2104, 74453, 323, 63907, 6082, 198, 19, 13, 16299, 1887, 304, 67861, 99868, 80412, 2547, 1920, 11, 6650, 323, 39656, 5380, 791, 842, 78738, 1887, 627, 20, 13, 2650, 1690, 9606, 315, 10099, 31324, 67861, 42743, 8310, 5380, 21, 13, 10699, 6688, 279, 4623, 315, 7878, 3090, 6371, 315, 67861, 99868, 5380, 791, 3778, 3980, 16549, 32479, 3817, 304, 220, 7028, 15, 198, 22, 13, 16299, 67861, 65216, 374, 279, 1455, 28694, 323, 15821, 5380, 7009, 9352, 311, 279, 1912, 4701, 77, 66826, 2085, 82356, 627, 23, 13, 16299, 527, 279, 1176, 16942, 291, 69918, 67861, 65216, 5380, 32, 444, 339, 347, 5493, 11, 279, 44892, 1093, 95461, 627, 24, 13, 902, 527, 16942, 92253, 72491, 67861, 99868, 5380, 37, 21168, 13, 2435, 527, 3752, 4147, 555, 342, 3385, 369, 594, 29579, 323, 35526, 66079, 369, 24269, 198, 605, 13, 16299, 1912, 315, 67861, 65216, 706, 3254, 35855, 315, 6680, 5380, 806, 13, 47152, 7795, 527, 7795, 11, 719, 11722, 258, 39935, 288, 527, 539, 39935, 288, 13, 3639, 3169, 315, 4668, 527, 814, 5380, 717, 13, 11208, 527, 279, 37079, 19567, 304, 67861, 99868, 1080, 12, 83569, 5380, 1032, 13, 3639, 527, 304, 65932, 99868, 5380, 19933, 1147, 902, 656, 539, 617, 56527, 527, 2663, 304, 65932, 99868, 198, 975, 13, 3639, 374, 6409, 77812, 367, 5380, 2181, 374, 264, 18768, 11733, 266, 974, 3044, 304, 902, 1063, 3697, 315, 1455, 10065, 5315, 8493, 279, 12688, 304, 9439, 323, 6940, 349, 92399, 13, 1102, 374, 1101, 2663, 12688, 6212, 627, 868, 13, 3639, 374, 384, 773, 49121, 5380, 2181, 374, 264, 90090, 7878, 3090, 304, 65932, 65216, 3515, 832, 5292, 616, 372, 323, 264, 2579, 384, 1065, 19644, 477, 60381, 5423, 10555, 369, 1202, 6307, 98284, 5237, 4692, 13, 128001, 128000, 32148, 77826, 374, 539, 3403, 11, 5423, 994, 433, 4131, 311, 1884, 2653, 4791, 5621, 613, 19300, 304, 701, 1716, 753, 11013, 13, 1102, 374, 5107, 369, 872, 26588, 37161, 311, 636, 304, 42967, 279, 2678, 45963, 323, 10707, 10296, 389, 872, 18311, 13, 1442, 2163, 7636, 11, 1884, 13987, 5789, 649, 2274, 26588, 31815, 13, 53625, 1821, 3041, 872, 18311, 5066, 9313, 2403, 31815, 323, 1520, 5471, 57709, 1385, 627, 35, 6430, 26418, 1821, 527, 12466, 594, 1354, 430, 11049, 323, 2653, 268, 304, 279, 5655, 10707, 10296, 389, 279, 75477, 7479, 315, 701, 1716, 753, 26588, 13, 3277, 264, 26588, 374, 19584, 11, 279, 13987, 10707, 10296, 3719, 11113, 323, 527, 2753, 4461, 311, 57511, 61464, 13, 3161, 26418, 1821, 11, 77826, 18311, 9221, 8831, 323, 810, 7524, 2403, 26588, 31815, 627, 1542, 278, 1821, 527, 11383, 9435, 311, 2911, 753, 18311, 439, 264, 71123, 6767, 2403, 26588, 31815, 1306, 279, 15690, 18311, 617, 61274, 13, 4452, 11, 12884, 649, 1101, 5371, 26418, 1821, 389, 9498, 18311, 13, 1102, 374, 810, 4279, 311, 26418, 15690, 18311, 4856, 1109, 8945, 18311, 11, 719, 1475, 8893, 706, 5016, 3966, 11, 323, 2999, 13, 23750, 690, 7079, 26418, 1821, 389, 264, 1162, 14656, 39585, 8197, 13, 128001 ]
[ -100, 10445, 656, 8853, 617, 68140, 5380, 791, 2383, 7612, 1855, 2978, 311, 617, 264, 10217, 2547, 1903, 709, 315, 1274, 889, 4097, 1690, 8173, 9875, 320, 16564, 6699, 11, 13639, 11, 279, 2254, 11447, 323, 279, 4029, 8, 323, 1202, 3465, 374, 311, 42003, 279, 4401, 315, 279, 2978, 520, 264, 19092, 2237, 627, 12686, 5706, 315, 94984, 1251, 81446, 198, 78706, 1105, 527, 1274, 889, 617, 459, 2802, 304, 279, 3560, 315, 8853, 304, 8396, 323, 6562, 311, 1304, 264, 6928, 19035, 311, 872, 10977, 13, 3861, 1401, 3465, 369, 10217, 13162, 374, 311, 12192, 1579, 10886, 315, 16627, 26501, 627, 15546, 527, 1057, 91089, 5380, 34, 24444, 26150, 6150, 94984, 1251, 14285, 43652, 220, 2366, 16, 1389, 220, 1313, 198, 7469, 22677, 320, 16, 8, 551, 4491, 622, 26952, 198, 7489, 57212, 291, 320, 20, 8, 551, 4491, 622, 60350, 1468, 320, 85295, 315, 91089, 1237, 4491, 328, 94294, 320, 53, 560, 16478, 315, 91089, 1237, 4491, 432, 64640, 82, 26, 1403, 67751, 198, 62869, 320, 19, 8, 551, 4491, 386, 65351, 13075, 26, 18083, 445, 16844, 26, 18083, 426, 57200, 26, 18083, 328, 13597, 1251, 783, 198, 34311, 320, 16, 8, 551, 18083, 469, 67188, 198, 12626, 24247, 551, 16450, 480, 426, 4336, 11088, 198, 2520, 4726, 2038, 922, 42547, 11, 28423, 323, 28116, 315, 68140, 11, 4587, 1684, 279, 2199, 3451, 78706, 1105, 529, 80057, 323, 8618, 315, 5783, 18450, 529, 128001, -100, 3848, 2505, 13396, 31404, 612, 2006, 3848, 2505, 13396, 31404, 98509, 24271, 323, 38343, 63444, 16, 76241, 374, 650, 14140, 99868, 5380, 6231, 68, 99868, 9352, 311, 279, 1207, 110231, 355, 921, 541, 460, 13, 11205, 836, 374, 14592, 505, 279, 20023, 3492, 1054, 6231, 51313, 11453, 362, 5309, 44192, 1253, 387, 4613, 439, 264, 3361, 3169, 315, 44321, 349, 10065, 430, 706, 264, 7558, 321, 351, 61798, 477, 293, 3633, 842, 437, 28193, 31706, 315, 264, 1589, 35822, 11983, 264, 8271, 323, 264, 67861, 42743, 3330, 1555, 902, 279, 50112, 23125, 16609, 627, 17, 13, 16299, 527, 279, 15439, 1181, 582, 486, 5706, 315, 264, 67861, 65216, 5380, 791, 539, 5059, 541, 1343, 277, 853, 278, 342, 484, 59197, 1220, 323, 96146, 42902, 32015, 23125, 627, 18, 13, 578, 24569, 527, 12673, 311, 279, 842, 437, 28193, 311, 198, 1271, 2104, 74453, 323, 63907, 6082, 198, 19, 13, 16299, 1887, 304, 67861, 99868, 80412, 2547, 1920, 11, 6650, 323, 39656, 5380, 791, 842, 78738, 1887, 627, 20, 13, 2650, 1690, 9606, 315, 10099, 31324, 67861, 42743, 8310, 5380, 21, 13, 10699, 6688, 279, 4623, 315, 7878, 3090, 6371, 315, 67861, 99868, 5380, 791, 3778, 3980, 16549, 32479, 3817, 304, 220, 7028, 15, 198, 22, 13, 16299, 67861, 65216, 374, 279, 1455, 28694, 323, 15821, 5380, 7009, 9352, 311, 279, 1912, 4701, 77, 66826, 2085, 82356, 627, 23, 13, 16299, 527, 279, 1176, 16942, 291, 69918, 67861, 65216, 5380, 32, 444, 339, 347, 5493, 11, 279, 44892, 1093, 95461, 627, 24, 13, 902, 527, 16942, 92253, 72491, 67861, 99868, 5380, 37, 21168, 13, 2435, 527, 3752, 4147, 555, 342, 3385, 369, 594, 29579, 323, 35526, 66079, 369, 24269, 198, 605, 13, 16299, 1912, 315, 67861, 65216, 706, 3254, 35855, 315, 6680, 5380, 806, 13, 47152, 7795, 527, 7795, 11, 719, 11722, 258, 39935, 288, 527, 539, 39935, 288, 13, 3639, 3169, 315, 4668, 527, 814, 5380, 717, 13, 11208, 527, 279, 37079, 19567, 304, 67861, 99868, 1080, 12, 83569, 5380, 1032, 13, 3639, 527, 304, 65932, 99868, 5380, 19933, 1147, 902, 656, 539, 617, 56527, 527, 2663, 304, 65932, 99868, 198, 975, 13, 3639, 374, 6409, 77812, 367, 5380, 2181, 374, 264, 18768, 11733, 266, 974, 3044, 304, 902, 1063, 3697, 315, 1455, 10065, 5315, 8493, 279, 12688, 304, 9439, 323, 6940, 349, 92399, 13, 1102, 374, 1101, 2663, 12688, 6212, 627, 868, 13, 3639, 374, 384, 773, 49121, 5380, 2181, 374, 264, 90090, 7878, 3090, 304, 65932, 65216, 3515, 832, 5292, 616, 372, 323, 264, 2579, 384, 1065, 19644, 477, 60381, 5423, 10555, 369, 1202, 6307, 98284, 5237, 4692, 13, 128001, -100, 32148, 77826, 374, 539, 3403, 11, 5423, 994, 433, 4131, 311, 1884, 2653, 4791, 5621, 613, 19300, 304, 701, 1716, 753, 11013, 13, 1102, 374, 5107, 369, 872, 26588, 37161, 311, 636, 304, 42967, 279, 2678, 45963, 323, 10707, 10296, 389, 872, 18311, 13, 1442, 2163, 7636, 11, 1884, 13987, 5789, 649, 2274, 26588, 31815, 13, 53625, 1821, 3041, 872, 18311, 5066, 9313, 2403, 31815, 323, 1520, 5471, 57709, 1385, 627, 35, 6430, 26418, 1821, 527, 12466, 594, 1354, 430, 11049, 323, 2653, 268, 304, 279, 5655, 10707, 10296, 389, 279, 75477, 7479, 315, 701, 1716, 753, 26588, 13, 3277, 264, 26588, 374, 19584, 11, 279, 13987, 10707, 10296, 3719, 11113, 323, 527, 2753, 4461, 311, 57511, 61464, 13, 3161, 26418, 1821, 11, 77826, 18311, 9221, 8831, 323, 810, 7524, 2403, 26588, 31815, 627, 1542, 278, 1821, 527, 11383, 9435, 311, 2911, 753, 18311, 439, 264, 71123, 6767, 2403, 26588, 31815, 1306, 279, 15690, 18311, 617, 61274, 13, 4452, 11, 12884, 649, 1101, 5371, 26418, 1821, 389, 9498, 18311, 13, 1102, 374, 810, 4279, 311, 26418, 15690, 18311, 4856, 1109, 8945, 18311, 11, 719, 1475, 8893, 706, 5016, 3966, 11, 323, 2999, 13, 23750, 690, 7079, 26418, 1821, 389, 264, 1162, 14656, 39585, 8197, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206 ]
[ 128000, 50179, 505, 7089, 622, 33714, 198, 39, 752, 82801, 356, 65092, 763, 13421, 25, 95452, 323, 31969, 198, 6219, 34701, 88298, 13, 220, 2550, 23, 17907, 220, 868, 26, 2970, 7, 19, 1680, 26366, 12, 26087, 627, 644, 13421, 449, 279, 73975, 356, 17188, 374, 3629, 97354, 13795, 3156, 26587, 8624, 706, 62916, 311, 30570, 41196, 10934, 477, 58259, 511, 54230, 89468, 13, 578, 25540, 1413, 8479, 369, 73975, 356, 17188, 574, 11352, 304, 220, 3753, 24, 13, 35390, 7978, 1501, 279, 8244, 38009, 315, 73975, 356, 17188, 19405, 304, 279, 3723, 4273, 311, 387, 13489, 220, 16, 13, 19, 3346, 13, 10180, 220, 4578, 3346, 315, 11434, 449, 17728, 93655, 323, 922, 220, 15, 13, 20, 3346, 315, 6680, 33149, 527, 29374, 449, 73975, 356, 17188, 13, 73036, 323, 735, 8564, 4358, 4819, 23926, 304, 22654, 323, 6514, 315, 6978, 449, 73975, 356, 17188, 19405, 627, 39, 752, 82801, 356, 374, 6118, 34699, 2748, 261, 750, 13, 578, 38009, 4315, 10805, 81443, 5623, 3932, 706, 1027, 5068, 311, 387, 439, 1579, 439, 220, 3534, 3346, 304, 1063, 22673, 13, 7089, 20362, 315, 2748, 3333, 19405, 2997, 32894, 57267, 11, 2942, 1380, 64805, 11, 10805, 81443, 33119, 797, 1718, 24292, 323, 65195, 14675, 13, 3216, 311, 220, 1272, 3346, 315, 29374, 6978, 617, 912, 10186, 2748, 3333, 5326, 8331, 13, 48125, 374, 3463, 311, 12446, 555, 7392, 3729, 477, 555, 12414, 18874, 505, 6691, 311, 1716, 13, 48125, 555, 4382, 14048, 3729, 8111, 311, 387, 1633, 9024, 627, 10714, 220, 17, 11, 1049, 2890, 2512, 7487, 1446, 78, 14500, 30171, 2768, 65195, 14675, 13, 13625, 311, 220, 605, 3346, 315, 11434, 889, 14201, 264, 9396, 449, 264, 31409, 8649, 73975, 356, 4235, 13885, 1599, 6680, 3719, 29374, 449, 279, 17188, 13, 95951, 10233, 311, 279, 28896, 315, 73975, 356, 17188, 2187, 23842, 315, 19405, 1701, 1446, 39227, 99592, 13, 578, 23851, 304, 4173, 22583, 9815, 369, 279, 13336, 430, 264, 1732, 1253, 617, 5361, 70530, 311, 279, 73975, 356, 17188, 11, 1524, 311, 279, 4113, 87018, 16903, 11, 323, 31324, 12195, 315, 30883, 73975, 1855, 892, 13, 61245, 780, 35693, 5674, 2391, 29962, 17563, 3135, 505, 33119, 39227, 323, 11, 11000, 11, 2167, 9693, 3565, 589, 292, 6372, 627, 791, 49242, 55514, 33119, 437, 30986, 306, 65033, 320, 2818, 35301, 8, 706, 3892, 9669, 13, 32252, 18546, 574, 1766, 311, 387, 1193, 220, 5932, 311, 220, 4578, 3346, 11, 323, 1446, 78, 74825, 574, 16914, 459, 5578, 315, 220, 868, 311, 220, 508, 5672, 1306, 14675, 13, 32252, 1968, 323, 76041, 315, 279, 2132, 43927, 17705, 35301, 4235, 17, 374, 1790, 13241, 927, 279, 1176, 43927, 1296, 11, 323, 1446, 78, 74825, 649, 387, 16914, 2949, 832, 311, 4848, 5672, 1306, 14675, 13, 578, 2132, 43927, 38301, 7006, 519, 33119, 677, 9363, 65033, 320, 49, 3336, 32, 4235, 17, 8, 374, 1511, 439, 264, 20109, 1296, 323, 97303, 1664, 449, 4642, 29962, 5820, 13, 362, 4948, 43927, 432, 3336, 32, 1296, 5084, 311, 3085, 264, 2678, 16048, 304, 13708, 13, 578, 1888, 2561, 15439, 1296, 369, 73975, 356, 17188, 19405, 374, 10134, 36815, 521, 4235, 74256, 11, 902, 67578, 1633, 3428, 5990, 315, 17188, 304, 20438, 323, 41529, 11, 323, 706, 264, 1579, 27541, 323, 76041, 13, 4452, 11, 420, 1296, 374, 5115, 11646, 323, 539, 13882, 2561, 369, 14348, 23842, 13, 45635, 449, 53823, 7697, 3225, 4315, 70760, 706, 3719, 264, 3682, 4360, 13, 3061, 675, 1752, 15105, 374, 1401, 311, 279, 13708, 315, 3135, 13, 19331, 369, 10484, 7709, 315, 73975, 356, 41214, 6051, 6244, 2561, 13, 25122, 11, 279, 1888, 15105, 8111, 311, 387, 264, 10824, 315, 17705, 35301, 4235, 17, 311, 58681, 323, 432, 3336, 32, 4235, 17, 311, 7838, 19405, 13, 44430, 520, 1579, 5326, 369, 73975, 356, 17188, 19405, 323, 1884, 449, 653, 81950, 27255, 315, 73662, 483, 1380, 8778, 521, 5990, 1288, 387, 26126, 627, 3386, 809, 263, 12, 85526, 17, 65, 374, 279, 1510, 15419, 369, 6978, 449, 73975, 356, 19405, 11, 719, 1317, 9860, 1323, 7711, 374, 17427, 304, 17162, 1109, 220, 914, 3346, 315, 1884, 12020, 13, 45003, 63903, 537, 292, 34824, 2997, 3428, 2860, 29962, 259, 2058, 11, 2753, 15748, 26587, 5674, 323, 16178, 63412, 11, 3428, 2860, 2547, 11245, 11, 323, 6928, 4216, 2077, 311, 41305, 263, 13, 9303, 47040, 1239, 46697, 527, 220, 18, 3610, 311, 220, 21, 3610, 549, 38018, 1207, 10453, 20933, 2380, 3115, 824, 2046, 369, 4848, 311, 220, 717, 4038, 13, 64205, 113765, 258, 374, 2500, 6514, 430, 706, 1027, 6818, 449, 3977, 2450, 13, 3277, 1511, 304, 10824, 449, 41305, 263, 11, 433, 8111, 311, 7781, 1375, 7629, 719, 1587, 539, 5101, 311, 2515, 1317, 9860, 36654, 315, 73975, 356, 17188, 13, 10541, 26587, 98702, 1253, 9778, 387, 2631, 11, 15601, 13421, 13980, 61528, 13, 3962, 10397, 12313, 40334, 4010, 7332, 449, 10805, 81443, 22852, 13509, 24292, 5039, 912, 8935, 13, 25122, 11, 47165, 2403, 73975, 356, 17188, 1587, 539, 3073, 627, 44, 38200, 39991, 11, 735, 8564, 40727, 13, 61245, 82801, 356, 13, 9489, 21185, 70, 3344, 13, 5587, 220, 2550, 23, 26, 2148, 25, 19162, 4235, 1954, 627, 9044, 596, 5296, 25, 70189, 369, 73975, 356, 17188, 19405, 374, 9539, 8475, 304, 1579, 46570, 11434, 323, 304, 11434, 449, 6029, 315, 653, 81950, 26587, 37140, 13, 70189, 315, 97354, 13795, 4827, 46570, 6978, 3966, 311, 387, 3927, 1534, 13, 39195, 315, 23061, 2997, 279, 13336, 315, 42316, 6978, 922, 39345, 79731, 11, 31526, 18874, 323, 7915, 10831, 8475, 16967, 369, 26587, 37140, 13, 4314, 7720, 2011, 387, 24770, 2403, 8893, 18547, 323, 1672, 324, 2968, 13, 26581, 23061, 369, 20895, 6978, 374, 539, 11349, 1606, 1070, 374, 912, 2561, 6373, 3197, 430, 1053, 8108, 279, 4478, 315, 12414, 18874, 35192, 81, 516, 627, 13857, 7388, 220, 2550, 23, 555, 279, 3778, 16192, 315, 12517, 88599, 627, 2028, 2262, 374, 13234, 555, 279, 362, 47754, 13, 362, 1732, 20705, 433, 2930, 1253, 1304, 832, 1194, 412, 315, 279, 3769, 323, 1253, 1005, 430, 1194, 412, 1193, 369, 813, 477, 1077, 4443, 11, 2536, 74144, 5905, 13, 1115, 3769, 1253, 539, 6062, 387, 24174, 11, 22523, 11, 17124, 11, 9967, 11, 34699, 477, 55717, 304, 904, 11298, 11, 3508, 1457, 3967, 477, 3010, 36592, 11, 3734, 439, 19144, 304, 4477, 555, 279, 362, 47754, 13, 9359, 2613, 36587, 916, 369, 7065, 4860, 323, 5255, 8041, 7540, 627, 29923, 311, 1005, 420, 4652, 18403, 30, 2175, 54457, 128001, 128000, 3915, 264, 12707, 18629, 11, 54607, 220, 6280, 21, 11, 922, 10723, 2890, 4819, 13, 2999, 76996, 32196, 11, 574, 8924, 287, 23872, 520, 279, 68626, 753, 17128, 15429, 304, 9853, 12167, 13, 2999, 32196, 11, 3970, 11961, 520, 264, 2007, 323, 12512, 264, 39032, 7937, 1389, 813, 14535, 28129, 304, 279, 11670, 358, 4344, 7561, 1355, 12575, 380, 17477, 1389, 19905, 279, 65578, 3838, 48841, 11, 889, 374, 26435, 304, 1077, 1888, 3776, 13091, 377, 627, 2118, 36064, 374, 304, 12745, 323, 358, 649, 2733, 279, 3805, 13, 358, 649, 1518, 433, 11, 358, 649, 1518, 682, 279, 35715, 1389, 358, 4344, 961, 315, 433, 13, 3053, 1431, 499, 1518, 433, 12671, 198, 12947, 220, 17, 477, 220, 18, 2574, 128001, 128000, 6854, 499, 7858, 264, 11537, 3663, 304, 1521, 16451, 5380, 11787, 499, 5644, 369, 2500, 4883, 315, 36027, 20156, 30, 8595, 539, 636, 1139, 279, 27286, 9090, 449, 264, 1427, 1203, 389, 1063, 11364, 4987, 350, 84267, 579, 16451, 927, 279, 1667, 627, 1271, 1906, 279, 1212, 315, 279, 33063, 11, 584, 527, 3411, 1203, 304, 892, 311, 18624, 7397, 505, 63705, 25623, 26150, 6150, 323, 47102, 263, 6150, 627, 1687, 4070, 2751, 36027, 23757, 889, 12263, 10425, 426, 398, 783, 6150, 323, 4987, 350, 84267, 579, 9304, 627, 1687, 527, 22019, 1203, 304, 892, 449, 220, 24, 2294, 36027, 16451, 505, 279, 75897, 75682, 39104, 13, 12040, 264, 1427, 323, 1243, 636, 304, 5916, 449, 701, 1866, 19459, 627, 6720, 70084, 11517, 8529, 3817, 942, 11, 889, 67235, 520, 279, 220, 1049, 19, 11, 220, 1049, 23, 323, 220, 679, 17, 33063, 11, 12263, 4987, 350, 84267, 579, 9304, 220, 20, 1667, 4227, 13, 14910, 499, 636, 311, 3449, 1461, 5380, 37, 616, 25623, 26150, 6150, 45172, 5762, 872, 1866, 4321, 4686, 449, 279, 7990, 814, 1903, 5694, 439, 872, 3361, 35491, 311, 279, 33063, 13, 1115, 832, 5097, 603, 1203, 220, 717, 1667, 13, 12838, 433, 4546, 1203, 2294, 19459, 5380, 53856, 3258, 26150, 6150, 45172, 4036, 872, 7576, 315, 26501, 304, 220, 1049, 22, 505, 4846, 61072, 323, 16587, 1195, 11517, 12797, 889, 67235, 520, 279, 220, 1049, 19, 33063, 13, 40070, 499, 4315, 1124, 323, 1148, 656, 499, 6227, 922, 430, 1938, 5380, 1622, 22891, 220, 18, 1080, 12, 17900, 3842, 39386, 2751, 264, 10695, 1450, 505, 45172, 505, 76781, 783, 31870, 6150, 439, 814, 5762, 264, 350, 34768, 3339, 35491, 311, 279, 33063, 520, 4987, 75897, 12332, 6150, 304, 220, 1049, 23, 627, 128001, 128000, 271, 22818, 430, 279, 53065, 374, 3815, 872, 10269, 1888, 311, 311, 4048, 4400, 11, 814, 1253, 1633, 1664, 1629, 2500, 9935, 6825, 559, 484, 304, 220, 2366, 15, 482, 323, 1450, 3420, 264, 2132, 4751, 304, 29774, 13, 21834, 1274, 527, 64536, 1457, 30, 4702, 13085, 1268, 64536, 814, 4265, 387, 422, 279, 70691, 10837, 11, 2019, 11, 65771, 13, 128001 ]
[ -100, 50179, 505, 7089, 622, 33714, 198, 39, 752, 82801, 356, 65092, 763, 13421, 25, 95452, 323, 31969, 198, 6219, 34701, 88298, 13, 220, 2550, 23, 17907, 220, 868, 26, 2970, 7, 19, 1680, 26366, 12, 26087, 627, 644, 13421, 449, 279, 73975, 356, 17188, 374, 3629, 97354, 13795, 3156, 26587, 8624, 706, 62916, 311, 30570, 41196, 10934, 477, 58259, 511, 54230, 89468, 13, 578, 25540, 1413, 8479, 369, 73975, 356, 17188, 574, 11352, 304, 220, 3753, 24, 13, 35390, 7978, 1501, 279, 8244, 38009, 315, 73975, 356, 17188, 19405, 304, 279, 3723, 4273, 311, 387, 13489, 220, 16, 13, 19, 3346, 13, 10180, 220, 4578, 3346, 315, 11434, 449, 17728, 93655, 323, 922, 220, 15, 13, 20, 3346, 315, 6680, 33149, 527, 29374, 449, 73975, 356, 17188, 13, 73036, 323, 735, 8564, 4358, 4819, 23926, 304, 22654, 323, 6514, 315, 6978, 449, 73975, 356, 17188, 19405, 627, 39, 752, 82801, 356, 374, 6118, 34699, 2748, 261, 750, 13, 578, 38009, 4315, 10805, 81443, 5623, 3932, 706, 1027, 5068, 311, 387, 439, 1579, 439, 220, 3534, 3346, 304, 1063, 22673, 13, 7089, 20362, 315, 2748, 3333, 19405, 2997, 32894, 57267, 11, 2942, 1380, 64805, 11, 10805, 81443, 33119, 797, 1718, 24292, 323, 65195, 14675, 13, 3216, 311, 220, 1272, 3346, 315, 29374, 6978, 617, 912, 10186, 2748, 3333, 5326, 8331, 13, 48125, 374, 3463, 311, 12446, 555, 7392, 3729, 477, 555, 12414, 18874, 505, 6691, 311, 1716, 13, 48125, 555, 4382, 14048, 3729, 8111, 311, 387, 1633, 9024, 627, 10714, 220, 17, 11, 1049, 2890, 2512, 7487, 1446, 78, 14500, 30171, 2768, 65195, 14675, 13, 13625, 311, 220, 605, 3346, 315, 11434, 889, 14201, 264, 9396, 449, 264, 31409, 8649, 73975, 356, 4235, 13885, 1599, 6680, 3719, 29374, 449, 279, 17188, 13, 95951, 10233, 311, 279, 28896, 315, 73975, 356, 17188, 2187, 23842, 315, 19405, 1701, 1446, 39227, 99592, 13, 578, 23851, 304, 4173, 22583, 9815, 369, 279, 13336, 430, 264, 1732, 1253, 617, 5361, 70530, 311, 279, 73975, 356, 17188, 11, 1524, 311, 279, 4113, 87018, 16903, 11, 323, 31324, 12195, 315, 30883, 73975, 1855, 892, 13, 61245, 780, 35693, 5674, 2391, 29962, 17563, 3135, 505, 33119, 39227, 323, 11, 11000, 11, 2167, 9693, 3565, 589, 292, 6372, 627, 791, 49242, 55514, 33119, 437, 30986, 306, 65033, 320, 2818, 35301, 8, 706, 3892, 9669, 13, 32252, 18546, 574, 1766, 311, 387, 1193, 220, 5932, 311, 220, 4578, 3346, 11, 323, 1446, 78, 74825, 574, 16914, 459, 5578, 315, 220, 868, 311, 220, 508, 5672, 1306, 14675, 13, 32252, 1968, 323, 76041, 315, 279, 2132, 43927, 17705, 35301, 4235, 17, 374, 1790, 13241, 927, 279, 1176, 43927, 1296, 11, 323, 1446, 78, 74825, 649, 387, 16914, 2949, 832, 311, 4848, 5672, 1306, 14675, 13, 578, 2132, 43927, 38301, 7006, 519, 33119, 677, 9363, 65033, 320, 49, 3336, 32, 4235, 17, 8, 374, 1511, 439, 264, 20109, 1296, 323, 97303, 1664, 449, 4642, 29962, 5820, 13, 362, 4948, 43927, 432, 3336, 32, 1296, 5084, 311, 3085, 264, 2678, 16048, 304, 13708, 13, 578, 1888, 2561, 15439, 1296, 369, 73975, 356, 17188, 19405, 374, 10134, 36815, 521, 4235, 74256, 11, 902, 67578, 1633, 3428, 5990, 315, 17188, 304, 20438, 323, 41529, 11, 323, 706, 264, 1579, 27541, 323, 76041, 13, 4452, 11, 420, 1296, 374, 5115, 11646, 323, 539, 13882, 2561, 369, 14348, 23842, 13, 45635, 449, 53823, 7697, 3225, 4315, 70760, 706, 3719, 264, 3682, 4360, 13, 3061, 675, 1752, 15105, 374, 1401, 311, 279, 13708, 315, 3135, 13, 19331, 369, 10484, 7709, 315, 73975, 356, 41214, 6051, 6244, 2561, 13, 25122, 11, 279, 1888, 15105, 8111, 311, 387, 264, 10824, 315, 17705, 35301, 4235, 17, 311, 58681, 323, 432, 3336, 32, 4235, 17, 311, 7838, 19405, 13, 44430, 520, 1579, 5326, 369, 73975, 356, 17188, 19405, 323, 1884, 449, 653, 81950, 27255, 315, 73662, 483, 1380, 8778, 521, 5990, 1288, 387, 26126, 627, 3386, 809, 263, 12, 85526, 17, 65, 374, 279, 1510, 15419, 369, 6978, 449, 73975, 356, 19405, 11, 719, 1317, 9860, 1323, 7711, 374, 17427, 304, 17162, 1109, 220, 914, 3346, 315, 1884, 12020, 13, 45003, 63903, 537, 292, 34824, 2997, 3428, 2860, 29962, 259, 2058, 11, 2753, 15748, 26587, 5674, 323, 16178, 63412, 11, 3428, 2860, 2547, 11245, 11, 323, 6928, 4216, 2077, 311, 41305, 263, 13, 9303, 47040, 1239, 46697, 527, 220, 18, 3610, 311, 220, 21, 3610, 549, 38018, 1207, 10453, 20933, 2380, 3115, 824, 2046, 369, 4848, 311, 220, 717, 4038, 13, 64205, 113765, 258, 374, 2500, 6514, 430, 706, 1027, 6818, 449, 3977, 2450, 13, 3277, 1511, 304, 10824, 449, 41305, 263, 11, 433, 8111, 311, 7781, 1375, 7629, 719, 1587, 539, 5101, 311, 2515, 1317, 9860, 36654, 315, 73975, 356, 17188, 13, 10541, 26587, 98702, 1253, 9778, 387, 2631, 11, 15601, 13421, 13980, 61528, 13, 3962, 10397, 12313, 40334, 4010, 7332, 449, 10805, 81443, 22852, 13509, 24292, 5039, 912, 8935, 13, 25122, 11, 47165, 2403, 73975, 356, 17188, 1587, 539, 3073, 627, 44, 38200, 39991, 11, 735, 8564, 40727, 13, 61245, 82801, 356, 13, 9489, 21185, 70, 3344, 13, 5587, 220, 2550, 23, 26, 2148, 25, 19162, 4235, 1954, 627, 9044, 596, 5296, 25, 70189, 369, 73975, 356, 17188, 19405, 374, 9539, 8475, 304, 1579, 46570, 11434, 323, 304, 11434, 449, 6029, 315, 653, 81950, 26587, 37140, 13, 70189, 315, 97354, 13795, 4827, 46570, 6978, 3966, 311, 387, 3927, 1534, 13, 39195, 315, 23061, 2997, 279, 13336, 315, 42316, 6978, 922, 39345, 79731, 11, 31526, 18874, 323, 7915, 10831, 8475, 16967, 369, 26587, 37140, 13, 4314, 7720, 2011, 387, 24770, 2403, 8893, 18547, 323, 1672, 324, 2968, 13, 26581, 23061, 369, 20895, 6978, 374, 539, 11349, 1606, 1070, 374, 912, 2561, 6373, 3197, 430, 1053, 8108, 279, 4478, 315, 12414, 18874, 35192, 81, 516, 627, 13857, 7388, 220, 2550, 23, 555, 279, 3778, 16192, 315, 12517, 88599, 627, 2028, 2262, 374, 13234, 555, 279, 362, 47754, 13, 362, 1732, 20705, 433, 2930, 1253, 1304, 832, 1194, 412, 315, 279, 3769, 323, 1253, 1005, 430, 1194, 412, 1193, 369, 813, 477, 1077, 4443, 11, 2536, 74144, 5905, 13, 1115, 3769, 1253, 539, 6062, 387, 24174, 11, 22523, 11, 17124, 11, 9967, 11, 34699, 477, 55717, 304, 904, 11298, 11, 3508, 1457, 3967, 477, 3010, 36592, 11, 3734, 439, 19144, 304, 4477, 555, 279, 362, 47754, 13, 9359, 2613, 36587, 916, 369, 7065, 4860, 323, 5255, 8041, 7540, 627, 29923, 311, 1005, 420, 4652, 18403, 30, 2175, 54457, 128001, -100, 3915, 264, 12707, 18629, 11, 54607, 220, 6280, 21, 11, 922, 10723, 2890, 4819, 13, 2999, 76996, 32196, 11, 574, 8924, 287, 23872, 520, 279, 68626, 753, 17128, 15429, 304, 9853, 12167, 13, 2999, 32196, 11, 3970, 11961, 520, 264, 2007, 323, 12512, 264, 39032, 7937, 1389, 813, 14535, 28129, 304, 279, 11670, 358, 4344, 7561, 1355, 12575, 380, 17477, 1389, 19905, 279, 65578, 3838, 48841, 11, 889, 374, 26435, 304, 1077, 1888, 3776, 13091, 377, 627, 2118, 36064, 374, 304, 12745, 323, 358, 649, 2733, 279, 3805, 13, 358, 649, 1518, 433, 11, 358, 649, 1518, 682, 279, 35715, 1389, 358, 4344, 961, 315, 433, 13, 3053, 1431, 499, 1518, 433, 12671, 198, 12947, 220, 17, 477, 220, 18, 2574, 128001, -100, 6854, 499, 7858, 264, 11537, 3663, 304, 1521, 16451, 5380, 11787, 499, 5644, 369, 2500, 4883, 315, 36027, 20156, 30, 8595, 539, 636, 1139, 279, 27286, 9090, 449, 264, 1427, 1203, 389, 1063, 11364, 4987, 350, 84267, 579, 16451, 927, 279, 1667, 627, 1271, 1906, 279, 1212, 315, 279, 33063, 11, 584, 527, 3411, 1203, 304, 892, 311, 18624, 7397, 505, 63705, 25623, 26150, 6150, 323, 47102, 263, 6150, 627, 1687, 4070, 2751, 36027, 23757, 889, 12263, 10425, 426, 398, 783, 6150, 323, 4987, 350, 84267, 579, 9304, 627, 1687, 527, 22019, 1203, 304, 892, 449, 220, 24, 2294, 36027, 16451, 505, 279, 75897, 75682, 39104, 13, 12040, 264, 1427, 323, 1243, 636, 304, 5916, 449, 701, 1866, 19459, 627, 6720, 70084, 11517, 8529, 3817, 942, 11, 889, 67235, 520, 279, 220, 1049, 19, 11, 220, 1049, 23, 323, 220, 679, 17, 33063, 11, 12263, 4987, 350, 84267, 579, 9304, 220, 20, 1667, 4227, 13, 14910, 499, 636, 311, 3449, 1461, 5380, 37, 616, 25623, 26150, 6150, 45172, 5762, 872, 1866, 4321, 4686, 449, 279, 7990, 814, 1903, 5694, 439, 872, 3361, 35491, 311, 279, 33063, 13, 1115, 832, 5097, 603, 1203, 220, 717, 1667, 13, 12838, 433, 4546, 1203, 2294, 19459, 5380, 53856, 3258, 26150, 6150, 45172, 4036, 872, 7576, 315, 26501, 304, 220, 1049, 22, 505, 4846, 61072, 323, 16587, 1195, 11517, 12797, 889, 67235, 520, 279, 220, 1049, 19, 33063, 13, 40070, 499, 4315, 1124, 323, 1148, 656, 499, 6227, 922, 430, 1938, 5380, 1622, 22891, 220, 18, 1080, 12, 17900, 3842, 39386, 2751, 264, 10695, 1450, 505, 45172, 505, 76781, 783, 31870, 6150, 439, 814, 5762, 264, 350, 34768, 3339, 35491, 311, 279, 33063, 520, 4987, 75897, 12332, 6150, 304, 220, 1049, 23, 627, 128001, -100, 271, 22818, 430, 279, 53065, 374, 3815, 872, 10269, 1888, 311, 311, 4048, 4400, 11, 814, 1253, 1633, 1664, 1629, 2500, 9935, 6825, 559, 484, 304, 220, 2366, 15, 482, 323, 1450, 3420, 264, 2132, 4751, 304, 29774, 13, 21834, 1274, 527, 64536, 1457, 30, 4702, 13085, 1268, 64536, 814, 4265, 387, 422, 279, 70691, 10837, 11, 2019, 11, 65771, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62 ]
[ 128000, 1548, 13412, 323, 11326, 304, 14154, 25431, 11, 75463, 78046, 320, 17711, 12, 10898, 5002, 705, 374, 3967, 311, 603, 35901, 369, 279, 10896, 753, 49042, 11, 3451, 5451, 11, 656, 912, 11682, 529, 323, 439, 279, 3451, 62416, 315, 18766, 19152, 24535, 1283, 1101, 42075, 813, 4236, 311, 3451, 10267, 3691, 387, 26236, 16088, 323, 16088, 387, 26236, 3691, 529, 627, 2118, 39, 2877, 78046, 7891, 1534, 279, 2349, 304, 279, 6725, 315, 16088, 505, 69532, 311, 5933, 4633, 16565, 13, 1283, 11846, 430, 279, 28378, 753, 3560, 574, 16168, 311, 3619, 323, 7945, 7138, 11, 311, 1440, 1148, 12966, 1051, 304, 12976, 311, 3691, 11, 7172, 11, 30747, 11, 323, 1148, 2515, 1855, 315, 1521, 1047, 5304, 279, 3885, 13, 1283, 11, 2288, 11, 16948, 37588, 279, 1666, 9326, 79, 1122, 3941, 315, 16265, 77319, 323, 4747, 11, 3021, 323, 38929, 113068, 29815, 389, 16994, 22695, 11, 75463, 78046, 15324, 279, 2800, 63465, 21730, 6012, 315, 65959, 3629, 14183, 311, 439, 279, 3451, 2375, 277, 315, 279, 29913, 24535, 56877, 65959, 323, 1023, 14812, 47979, 279, 62844, 22972, 11, 568, 1511, 1124, 311, 8335, 279, 3116, 15962, 4043, 2436, 315, 279, 2547, 3967, 439, 279, 3116, 1054, 28400, 1105, 113068, 2746, 1521, 65959, 323, 14812, 47979, 1550, 304, 2144, 617, 2800, 63465, 323, 44463, 6012, 11, 584, 649, 1518, 3249, 814, 1051, 25660, 279, 10087, 753, 308, 39916, 627, 95448, 59492, 10975, 603, 308, 39916, 323, 9049, 3714, 689, 11, 12886, 555, 656, 2396, 311, 198, 46, 14163, 355, 11, 1051, 279, 7075, 7172, 323, 3691, 315, 279, 30335, 1455, 45902, 519, 29913, 323, 52190, 288, 315, 14154, 25431, 627, 791, 3492, 308, 39916, 4131, 505, 279, 20023, 3492, 3451, 2375, 277, 529, 7438, 3451, 98427, 315, 279, 29913, 529, 902, 706, 433, 753, 33472, 304, 279, 18341, 3492, 3451, 818, 5964, 277, 529, 1389, 3451, 48045, 529, 7438, 1054, 63007, 863, 323, 3451, 27835, 529, 7438, 1054, 2017, 5065, 11453, 33634, 35208, 308, 39916, 323, 9049, 3714, 689, 1051, 11846, 311, 387, 1099, 4535, 449, 279, 8352, 315, 4325, 1752, 4998, 76052, 627, 3957, 4325, 1752, 4998, 76052, 2949, 1057, 5662, 30, 2468, 420, 892, 11, 1193, 304, 59492, 13, 3639, 584, 656, 617, 374, 279, 8352, 315, 75716, 505, 7138, 753, 77443, 26390, 323, 44308, 24822, 13, 31685, 323, 39526, 11, 1376, 11, 6211, 11, 1933, 323, 56227, 527, 279, 29600, 315, 1521, 5496, 15657, 627, 52555, 27252, 323, 32241, 287, 279, 21730, 315, 264, 8205, 315, 737, 76527, 323, 834, 5773, 521, 4787, 304, 279, 2547, 11, 10479, 10332, 374, 264, 15325, 11, 3369, 762, 1188, 1648, 311, 21054, 279, 7446, 16686, 315, 220, 20, 79049, 315, 26390, 323, 24822, 627, 2118, 63704, 10332, 5825, 264, 6425, 311, 420, 8815, 1606, 11, 555, 10479, 10332, 11, 499, 649, 6847, 323, 49170, 25024, 264, 1790, 7191, 8286, 315, 26390, 323, 24822, 1109, 499, 649, 555, 12459, 1124, 304, 6573, 1376, 13, 362, 3254, 41376, 315, 36581, 23661, 11, 902, 649, 6847, 387, 27073, 555, 832, 1732, 304, 264, 3254, 1938, 11, 17135, 279, 26677, 13890, 311, 13489, 4330, 16701, 315, 6573, 8356, 627, 2028, 80526, 4633, 2515, 315, 37493, 374, 279, 98799, 315, 7138, 753, 1690, 26390, 323, 24822, 11, 323, 42393, 11, 682, 315, 902, 6782, 5370, 10184, 556, 66777, 430, 990, 3871, 323, 34454, 88, 3059, 1855, 1023, 311, 3369, 762, 1188, 398, 2804, 872, 5370, 5865, 13, 1789, 22781, 315, 9214, 315, 1667, 11, 279, 3823, 2547, 706, 79101, 389, 420, 1054, 67733, 64567, 863, 8335, 315, 37493, 304, 6136, 15657, 323, 42393, 311, 10489, 734, 323, 10519, 5196, 113068, 2181, 753, 11349, 584, 25024, 220, 20, 79049, 1855, 315, 7878, 26390, 323, 24822, 7446, 13, 662, 662, 527, 499, 56825, 30, 3011, 753, 459, 9250, 2890, 28782, 304, 10334, 719, 304, 7446, 2324, 433, 753, 810, 315, 264, 2890, 8815, 627, 6854, 420, 2216, 387, 2884, 30, 1472, 1297, 13, 12362, 264, 10479, 13296, 477, 264, 62895, 11, 499, 649, 5052, 420, 11349, 7446, 41458, 323, 810, 1139, 459, 220, 23, 25616, 9168, 662, 662, 662, 264, 7878, 11, 2523, 11, 5933, 6425, 13, 128001, 128000, 1966, 279, 1648, 709, 11, 584, 10717, 520, 279, 502, 323, 13241, 21725, 45419, 27987, 0, 1226, 49976, 3892, 98564, 323, 13061, 709, 1063, 426, 1147, 4079, 18366, 44210, 5770, 11, 29271, 596, 6437, 17604, 11, 323, 13179, 17604, 2917, 5469, 627, 1687, 1101, 10717, 520, 12404, 1543, 596, 304, 14594, 437, 4317, 369, 1063, 13179, 13, 1226, 3621, 311, 617, 14343, 10756, 315, 1561, 8444, 51419, 17109, 82, 520, 279, 4545, 11, 719, 584, 1550, 3780, 459, 5066, 4848, 57610, 315, 84135, 287, 13585, 323, 1403, 3116, 2320, 7977, 315, 1023, 17109, 82, 13, 358, 13061, 459, 60902, 278, 6785, 555, 18880, 66727, 627, 2028, 1060, 11, 279, 1567, 574, 5762, 520, 279, 56806, 483, 41960, 13, 18185, 279, 2144, 430, 358, 1781, 1070, 1051, 11157, 439, 1690, 93970, 320, 438, 11, 8617, 11, 11157, 439, 1690, 40285, 8, 439, 1566, 1060, 11, 13217, 574, 264, 46385, 11, 323, 1306, 264, 1418, 11, 779, 1051, 279, 5238, 627, 8586, 596, 264, 1160, 315, 1148, 358, 61580, 512, 12, 77801, 76781, 505, 468, 35472, 65, 11252, 66727, 198, 12, 507, 971, 386, 1286, 505, 1561, 38915, 198, 12, 9220, 11215, 11, 49162, 3816, 11, 323, 8325, 19623, 505, 1561, 8444, 51419, 66727, 198, 12, 42215, 1036, 276, 30743, 85858, 505, 426, 6572, 66727, 198, 12, 6295, 5348, 54304, 505, 8681, 42679, 44213, 8351, 198, 12, 220, 10336, 20, 393, 8839, 505, 3468, 4752, 198, 12, 56738, 58937, 505, 11940, 7096, 66727, 198, 12, 6433, 716, 10349, 505, 18880, 44213, 8351, 198, 12, 20793, 39690, 505, 45878, 44213, 8351, 198, 5159, 27672, 1051, 279, 77801, 76781, 323, 56738, 58937, 627, 3112, 1618, 596, 20851, 596, 1160, 512, 12, 49667, 666, 46004, 505, 33471, 3928, 300, 198, 12, 507, 971, 386, 1286, 505, 1561, 38915, 198, 12, 9220, 11215, 323, 8325, 19623, 505, 1561, 8444, 51419, 66727, 198, 12, 42215, 1036, 276, 30743, 85858, 505, 426, 6572, 66727, 198, 12, 65071, 362, 3640, 92130, 505, 8681, 42679, 44213, 8351, 198, 12, 80347, 2779, 56847, 505, 473, 2295, 1974, 198, 12, 27852, 301, 505, 549, 501, 438, 44213, 8351, 198, 12, 47764, 505, 11940, 7096, 66727, 198, 12, 7984, 3427, 505, 1561, 34061, 198, 12, 92130, 505, 14637, 22374, 44213, 8351, 198, 56830, 1071, 430, 279, 11940, 7096, 47764, 574, 4762, 813, 7075, 11, 8051, 279, 8681, 42679, 65071, 362, 3640, 92130, 574, 1101, 16358, 627, 56830, 596, 6699, 3782, 709, 779, 430, 814, 1436, 1456, 872, 1176, 13179, 47500, 11, 323, 584, 3987, 814, 1047, 264, 2294, 892, 0, 20851, 596, 18233, 374, 2736, 7556, 922, 35821, 264, 17109, 19390, 304, 4410, 13286, 13, 358, 2846, 539, 2771, 430, 433, 1053, 387, 5115, 279, 1890, 10877, 439, 304, 21073, 11, 719, 358, 2846, 2771, 13179, 33218, 1053, 2586, 704, 369, 832, 13, 128001, 128000, 13347, 11, 358, 3077, 9670, 10223, 279, 836, 315, 264, 11363, 315, 10705, 304, 279, 41472, 14149, 77204, 29709, 11, 602, 1770, 13, 505, 330, 32, 5468, 38639, 4701, 87524, 3308, 1, 311, 330, 32, 48224, 950, 4701, 87524, 5468, 38639, 3308, 498, 902, 358, 1505, 2731, 13, 33634, 449, 36832, 649, 3783, 279, 4846, 832, 30, 11361, 11, 1198, 871, 15, 11, 15, 27, 43833, 66, 24610, 295, 650, 650, 356, 42354, 370, 437, 3623, 454, 13, 650, 13, 23485, 2956, 27621, 128001, 128000, 58, 9578, 1938, 2331, 279, 7471, 11, 3549, 279, 1176, 9578, 1938, 389, 220, 1313, 74800, 220, 4468, 15, 13, 2533, 1243, 927, 220, 16, 7239, 7931, 617, 29905, 1534, 369, 279, 3938, 315, 279, 11841, 4669, 279, 9578, 1938, 4009, 13, 220, 2075, 11, 931, 10, 8717, 304, 927, 220, 7028, 5961, 527, 1457, 3318, 311, 6678, 6928, 1957, 627, 50828, 9131, 30, 311, 1977, 279, 1917, 753, 7928, 12434, 7351, 311, 6678, 87435, 2349, 369, 1274, 323, 11841, 627, 49532, 871, 502, 50672, 3363, 753, 18172, 62803, 374, 10409, 449, 9214, 315, 1274, 994, 279, 8761, 574, 8036, 311, 9048, 9629, 369, 279, 1176, 9578, 1938, 389, 220, 1313, 74800, 220, 1313, 220, 4468, 15, 611, 2217, 555, 7388, 1297, 14046, 1036, 2971, 30986, 285, 765, 6685, 6807, 25, 10390, 2465, 55229, 198, 1820, 7057, 369, 9578, 1938, 220, 2366, 15, 374, 10182, 1957, 13, 279, 23205, 8815, 2001, 719, 1101, 279, 13057, 10708, 2001, 315, 1957, 389, 10182, 2349, 617, 39575, 279, 4360, 439, 279, 1455, 26422, 8712, 369, 279, 220, 1135, 339, 22310, 627, 49532, 871, 10182, 6076, 27269, 1935, 311, 279, 14708, 315, 502, 50672, 3363, 304, 84749, 220, 679, 24, 369, 3728, 23170, 47672, 555, 279, 1448, 307, 954, 369, 3938, 12822, 10182, 7351, 765, 6685, 6807, 25, 304, 1764, 15730, 19610, 7666, 19491, 198, 263, 220, 1313, 74800, 1455, 315, 603, 690, 387, 19994, 520, 2162, 13, 719, 11, 1070, 527, 264, 2763, 315, 4455, 311, 1518, 758, 510, 9578, 1938, 3974, 758, 2331, 510, 9578, 1938, 52104, 2331, 510, 39542, 24925, 315, 5933, 3925, 2331, 510, 308, 15790, 2331, 510, 3634, 916, 2331, 510, 279, 1917, 2212, 5243, 2, 94874, 1335, 674, 28641, 1316, 589, 638, 674, 28641, 674, 24175, 674, 28641, 1316, 2366, 15, 128001 ]
[ -100, 1548, 13412, 323, 11326, 304, 14154, 25431, 11, 75463, 78046, 320, 17711, 12, 10898, 5002, 705, 374, 3967, 311, 603, 35901, 369, 279, 10896, 753, 49042, 11, 3451, 5451, 11, 656, 912, 11682, 529, 323, 439, 279, 3451, 62416, 315, 18766, 19152, 24535, 1283, 1101, 42075, 813, 4236, 311, 3451, 10267, 3691, 387, 26236, 16088, 323, 16088, 387, 26236, 3691, 529, 627, 2118, 39, 2877, 78046, 7891, 1534, 279, 2349, 304, 279, 6725, 315, 16088, 505, 69532, 311, 5933, 4633, 16565, 13, 1283, 11846, 430, 279, 28378, 753, 3560, 574, 16168, 311, 3619, 323, 7945, 7138, 11, 311, 1440, 1148, 12966, 1051, 304, 12976, 311, 3691, 11, 7172, 11, 30747, 11, 323, 1148, 2515, 1855, 315, 1521, 1047, 5304, 279, 3885, 13, 1283, 11, 2288, 11, 16948, 37588, 279, 1666, 9326, 79, 1122, 3941, 315, 16265, 77319, 323, 4747, 11, 3021, 323, 38929, 113068, 29815, 389, 16994, 22695, 11, 75463, 78046, 15324, 279, 2800, 63465, 21730, 6012, 315, 65959, 3629, 14183, 311, 439, 279, 3451, 2375, 277, 315, 279, 29913, 24535, 56877, 65959, 323, 1023, 14812, 47979, 279, 62844, 22972, 11, 568, 1511, 1124, 311, 8335, 279, 3116, 15962, 4043, 2436, 315, 279, 2547, 3967, 439, 279, 3116, 1054, 28400, 1105, 113068, 2746, 1521, 65959, 323, 14812, 47979, 1550, 304, 2144, 617, 2800, 63465, 323, 44463, 6012, 11, 584, 649, 1518, 3249, 814, 1051, 25660, 279, 10087, 753, 308, 39916, 627, 95448, 59492, 10975, 603, 308, 39916, 323, 9049, 3714, 689, 11, 12886, 555, 656, 2396, 311, 198, 46, 14163, 355, 11, 1051, 279, 7075, 7172, 323, 3691, 315, 279, 30335, 1455, 45902, 519, 29913, 323, 52190, 288, 315, 14154, 25431, 627, 791, 3492, 308, 39916, 4131, 505, 279, 20023, 3492, 3451, 2375, 277, 529, 7438, 3451, 98427, 315, 279, 29913, 529, 902, 706, 433, 753, 33472, 304, 279, 18341, 3492, 3451, 818, 5964, 277, 529, 1389, 3451, 48045, 529, 7438, 1054, 63007, 863, 323, 3451, 27835, 529, 7438, 1054, 2017, 5065, 11453, 33634, 35208, 308, 39916, 323, 9049, 3714, 689, 1051, 11846, 311, 387, 1099, 4535, 449, 279, 8352, 315, 4325, 1752, 4998, 76052, 627, 3957, 4325, 1752, 4998, 76052, 2949, 1057, 5662, 30, 2468, 420, 892, 11, 1193, 304, 59492, 13, 3639, 584, 656, 617, 374, 279, 8352, 315, 75716, 505, 7138, 753, 77443, 26390, 323, 44308, 24822, 13, 31685, 323, 39526, 11, 1376, 11, 6211, 11, 1933, 323, 56227, 527, 279, 29600, 315, 1521, 5496, 15657, 627, 52555, 27252, 323, 32241, 287, 279, 21730, 315, 264, 8205, 315, 737, 76527, 323, 834, 5773, 521, 4787, 304, 279, 2547, 11, 10479, 10332, 374, 264, 15325, 11, 3369, 762, 1188, 1648, 311, 21054, 279, 7446, 16686, 315, 220, 20, 79049, 315, 26390, 323, 24822, 627, 2118, 63704, 10332, 5825, 264, 6425, 311, 420, 8815, 1606, 11, 555, 10479, 10332, 11, 499, 649, 6847, 323, 49170, 25024, 264, 1790, 7191, 8286, 315, 26390, 323, 24822, 1109, 499, 649, 555, 12459, 1124, 304, 6573, 1376, 13, 362, 3254, 41376, 315, 36581, 23661, 11, 902, 649, 6847, 387, 27073, 555, 832, 1732, 304, 264, 3254, 1938, 11, 17135, 279, 26677, 13890, 311, 13489, 4330, 16701, 315, 6573, 8356, 627, 2028, 80526, 4633, 2515, 315, 37493, 374, 279, 98799, 315, 7138, 753, 1690, 26390, 323, 24822, 11, 323, 42393, 11, 682, 315, 902, 6782, 5370, 10184, 556, 66777, 430, 990, 3871, 323, 34454, 88, 3059, 1855, 1023, 311, 3369, 762, 1188, 398, 2804, 872, 5370, 5865, 13, 1789, 22781, 315, 9214, 315, 1667, 11, 279, 3823, 2547, 706, 79101, 389, 420, 1054, 67733, 64567, 863, 8335, 315, 37493, 304, 6136, 15657, 323, 42393, 311, 10489, 734, 323, 10519, 5196, 113068, 2181, 753, 11349, 584, 25024, 220, 20, 79049, 1855, 315, 7878, 26390, 323, 24822, 7446, 13, 662, 662, 527, 499, 56825, 30, 3011, 753, 459, 9250, 2890, 28782, 304, 10334, 719, 304, 7446, 2324, 433, 753, 810, 315, 264, 2890, 8815, 627, 6854, 420, 2216, 387, 2884, 30, 1472, 1297, 13, 12362, 264, 10479, 13296, 477, 264, 62895, 11, 499, 649, 5052, 420, 11349, 7446, 41458, 323, 810, 1139, 459, 220, 23, 25616, 9168, 662, 662, 662, 264, 7878, 11, 2523, 11, 5933, 6425, 13, 128001, -100, 1966, 279, 1648, 709, 11, 584, 10717, 520, 279, 502, 323, 13241, 21725, 45419, 27987, 0, 1226, 49976, 3892, 98564, 323, 13061, 709, 1063, 426, 1147, 4079, 18366, 44210, 5770, 11, 29271, 596, 6437, 17604, 11, 323, 13179, 17604, 2917, 5469, 627, 1687, 1101, 10717, 520, 12404, 1543, 596, 304, 14594, 437, 4317, 369, 1063, 13179, 13, 1226, 3621, 311, 617, 14343, 10756, 315, 1561, 8444, 51419, 17109, 82, 520, 279, 4545, 11, 719, 584, 1550, 3780, 459, 5066, 4848, 57610, 315, 84135, 287, 13585, 323, 1403, 3116, 2320, 7977, 315, 1023, 17109, 82, 13, 358, 13061, 459, 60902, 278, 6785, 555, 18880, 66727, 627, 2028, 1060, 11, 279, 1567, 574, 5762, 520, 279, 56806, 483, 41960, 13, 18185, 279, 2144, 430, 358, 1781, 1070, 1051, 11157, 439, 1690, 93970, 320, 438, 11, 8617, 11, 11157, 439, 1690, 40285, 8, 439, 1566, 1060, 11, 13217, 574, 264, 46385, 11, 323, 1306, 264, 1418, 11, 779, 1051, 279, 5238, 627, 8586, 596, 264, 1160, 315, 1148, 358, 61580, 512, 12, 77801, 76781, 505, 468, 35472, 65, 11252, 66727, 198, 12, 507, 971, 386, 1286, 505, 1561, 38915, 198, 12, 9220, 11215, 11, 49162, 3816, 11, 323, 8325, 19623, 505, 1561, 8444, 51419, 66727, 198, 12, 42215, 1036, 276, 30743, 85858, 505, 426, 6572, 66727, 198, 12, 6295, 5348, 54304, 505, 8681, 42679, 44213, 8351, 198, 12, 220, 10336, 20, 393, 8839, 505, 3468, 4752, 198, 12, 56738, 58937, 505, 11940, 7096, 66727, 198, 12, 6433, 716, 10349, 505, 18880, 44213, 8351, 198, 12, 20793, 39690, 505, 45878, 44213, 8351, 198, 5159, 27672, 1051, 279, 77801, 76781, 323, 56738, 58937, 627, 3112, 1618, 596, 20851, 596, 1160, 512, 12, 49667, 666, 46004, 505, 33471, 3928, 300, 198, 12, 507, 971, 386, 1286, 505, 1561, 38915, 198, 12, 9220, 11215, 323, 8325, 19623, 505, 1561, 8444, 51419, 66727, 198, 12, 42215, 1036, 276, 30743, 85858, 505, 426, 6572, 66727, 198, 12, 65071, 362, 3640, 92130, 505, 8681, 42679, 44213, 8351, 198, 12, 80347, 2779, 56847, 505, 473, 2295, 1974, 198, 12, 27852, 301, 505, 549, 501, 438, 44213, 8351, 198, 12, 47764, 505, 11940, 7096, 66727, 198, 12, 7984, 3427, 505, 1561, 34061, 198, 12, 92130, 505, 14637, 22374, 44213, 8351, 198, 56830, 1071, 430, 279, 11940, 7096, 47764, 574, 4762, 813, 7075, 11, 8051, 279, 8681, 42679, 65071, 362, 3640, 92130, 574, 1101, 16358, 627, 56830, 596, 6699, 3782, 709, 779, 430, 814, 1436, 1456, 872, 1176, 13179, 47500, 11, 323, 584, 3987, 814, 1047, 264, 2294, 892, 0, 20851, 596, 18233, 374, 2736, 7556, 922, 35821, 264, 17109, 19390, 304, 4410, 13286, 13, 358, 2846, 539, 2771, 430, 433, 1053, 387, 5115, 279, 1890, 10877, 439, 304, 21073, 11, 719, 358, 2846, 2771, 13179, 33218, 1053, 2586, 704, 369, 832, 13, 128001, -100, 13347, 11, 358, 3077, 9670, 10223, 279, 836, 315, 264, 11363, 315, 10705, 304, 279, 41472, 14149, 77204, 29709, 11, 602, 1770, 13, 505, 330, 32, 5468, 38639, 4701, 87524, 3308, 1, 311, 330, 32, 48224, 950, 4701, 87524, 5468, 38639, 3308, 498, 902, 358, 1505, 2731, 13, 33634, 449, 36832, 649, 3783, 279, 4846, 832, 30, 11361, 11, 1198, 871, 15, 11, 15, 27, 43833, 66, 24610, 295, 650, 650, 356, 42354, 370, 437, 3623, 454, 13, 650, 13, 23485, 2956, 27621, 128001, -100, 58, 9578, 1938, 2331, 279, 7471, 11, 3549, 279, 1176, 9578, 1938, 389, 220, 1313, 74800, 220, 4468, 15, 13, 2533, 1243, 927, 220, 16, 7239, 7931, 617, 29905, 1534, 369, 279, 3938, 315, 279, 11841, 4669, 279, 9578, 1938, 4009, 13, 220, 2075, 11, 931, 10, 8717, 304, 927, 220, 7028, 5961, 527, 1457, 3318, 311, 6678, 6928, 1957, 627, 50828, 9131, 30, 311, 1977, 279, 1917, 753, 7928, 12434, 7351, 311, 6678, 87435, 2349, 369, 1274, 323, 11841, 627, 49532, 871, 502, 50672, 3363, 753, 18172, 62803, 374, 10409, 449, 9214, 315, 1274, 994, 279, 8761, 574, 8036, 311, 9048, 9629, 369, 279, 1176, 9578, 1938, 389, 220, 1313, 74800, 220, 1313, 220, 4468, 15, 611, 2217, 555, 7388, 1297, 14046, 1036, 2971, 30986, 285, 765, 6685, 6807, 25, 10390, 2465, 55229, 198, 1820, 7057, 369, 9578, 1938, 220, 2366, 15, 374, 10182, 1957, 13, 279, 23205, 8815, 2001, 719, 1101, 279, 13057, 10708, 2001, 315, 1957, 389, 10182, 2349, 617, 39575, 279, 4360, 439, 279, 1455, 26422, 8712, 369, 279, 220, 1135, 339, 22310, 627, 49532, 871, 10182, 6076, 27269, 1935, 311, 279, 14708, 315, 502, 50672, 3363, 304, 84749, 220, 679, 24, 369, 3728, 23170, 47672, 555, 279, 1448, 307, 954, 369, 3938, 12822, 10182, 7351, 765, 6685, 6807, 25, 304, 1764, 15730, 19610, 7666, 19491, 198, 263, 220, 1313, 74800, 1455, 315, 603, 690, 387, 19994, 520, 2162, 13, 719, 11, 1070, 527, 264, 2763, 315, 4455, 311, 1518, 758, 510, 9578, 1938, 3974, 758, 2331, 510, 9578, 1938, 52104, 2331, 510, 39542, 24925, 315, 5933, 3925, 2331, 510, 308, 15790, 2331, 510, 3634, 916, 2331, 510, 279, 1917, 2212, 5243, 2, 94874, 1335, 674, 28641, 1316, 589, 638, 674, 28641, 674, 24175, 674, 28641, 1316, 2366, 15, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294 ]
[ 128000, 27, 5062, 815, 25259, 92255, 198, 220, 13202, 5429, 311, 1977, 5377, 47, 500, 89191, 382, 94220, 31698, 198, 220, 1115, 5429, 690, 1005, 2736, 5918, 5377, 47, 500, 320, 258, 1595, 5957, 63, 6352, 8, 323, 198, 220, 1893, 5632, 44152, 505, 433, 1701, 763, 2201, 19139, 320, 2485, 1129, 60013, 37751, 2726, 14, 696, 23208, 19454, 271, 5119, 29, 662, 59, 5957, 26756, 18212, 14283, 58428, 16, 271, 2, 1363, 1723, 5256, 12, 9685, 341, 262, 1719, 2625, 6035, 4818, 95380, 1889, 340, 262, 400, 12891, 284, 3605, 31629, 91, 24572, 59, 91, 702, 262, 400, 6495, 284, 220, 15, 198, 262, 400, 8975, 284, 40767, 12, 4153, 482, 38432, 678, 400, 3239, 25, 38432, 678, 482, 6035, 4818, 314, 400, 1889, 335, 482, 2170, 12524, 271, 262, 400, 4775, 981, 284, 400, 3875, 8380, 51675, 2327, 31029, 3897, 271, 262, 674, 400, 4775, 981, 7659, 6110, 220, 16, 271, 262, 1418, 27954, 8975, 19478, 482, 11251, 330, 19527, 909, 482, 438, 1746, 8975, 19478, 482, 818, 330, 2688, 33627, 5572, 262, 341, 286, 400, 3875, 8380, 51675, 2327, 31029, 3897, 284, 400, 4775, 981, 198, 286, 9842, 12, 9480, 400, 12891, 3525, 6495, 60, 482, 2822, 3648, 1074, 198, 286, 400, 6495, 23792, 286, 422, 1746, 6495, 482, 713, 400, 12891, 6976, 340, 286, 341, 310, 400, 6495, 284, 220, 15, 198, 286, 457, 286, 5256, 6354, 3583, 482, 42854, 220, 1041, 198, 262, 457, 262, 674, 1102, 596, 927, 482, 2867, 279, 5820, 21070, 627, 262, 400, 3875, 8380, 51675, 2327, 31029, 3897, 284, 400, 4775, 981, 198, 262, 9842, 12, 9480, 364, 8044, 220, 366, 5062, 220, 662, 18923, 45, 92255, 198, 220, 10848, 36591, 369, 4401, 2683, 198, 220, 662, 20810, 20856, 2082, 198, 220, 12280, 311, 3113, 36591, 369, 198, 220, 674, 397, 3818, 1723, 19532, 84256, 2123, 703, 13966, 1889, 8, 341, 256, 674, 8442, 4974, 420, 3552, 1920, 422, 433, 596, 264, 1716, 315, 2500, 75062, 2748, 1920, 9522, 256, 400, 3850, 34851, 284, 320, 1991, 7813, 318, 2584, 482, 14883, 12468, 843, 71341, 482, 5750, 330, 7575, 769, 3266, 34851, 1, 765, 8593, 12, 1211, 482, 3128, 17457, 7575, 769, 570, 8553, 7575, 769, 198, 256, 400, 3850, 25522, 678, 284, 320, 1991, 7813, 318, 2584, 482, 14883, 12468, 843, 71341, 482, 5750, 330, 7575, 769, 3266, 3850, 34851, 1, 765, 8593, 12, 1211, 482, 3128, 4076, 570, 678, 198, 256, 422, 4417, 78404, 57195, 19963, 6, 482, 11251, 400, 3850, 25522, 678, 8, 314, 400, 3875, 4296, 15346, 15699, 703, 13966, 1889, 8, 557, 256, 4974, 400, 13966, 1889, 198, 633, 1723, 7073, 12, 5119, 12358, 368, 341, 262, 422, 1746, 5119, 5755, 2620, 1087, 50, 5755, 1345, 3111, 482, 4937, 220, 22, 8, 341, 286, 9842, 12, 9480, 330, 12340, 330, 482, 2822, 3648, 1074, 482, 86097, 3816, 198, 286, 9842, 12, 9480, 330, 2675, 527, 1701, 2362, 2373, 315, 75062, 13, 95077, 5119, 5755, 2620, 1087, 50, 5755, 1345, 3111, 570, 3, 703, 5119, 5755, 2620, 1087, 50, 5755, 17507, 269, 13251, 286, 9842, 12, 9480, 330, 5618, 2713, 311, 520, 3325, 220, 22, 13, 15, 482, 330, 482, 2822, 3648, 1074, 482, 86097, 24255, 198, 286, 9842, 12, 9480, 330, 2485, 1129, 5316, 916, 14, 15335, 26354, 14, 15335, 26354, 59287, 1, 482, 86097, 5929, 198, 286, 19532, 84256, 2123, 220, 16, 198, 262, 457, 633, 3, 472, 284, 571, 1875, 1835, 662, 662, 256, 5354, 257, 662, 262, 55638, 286, 721, 78, 46, 3143, 18, 3143, 47, 18, 7271, 5056, 16853, 257, 662, 4505, 5481, 93, 13, 256, 5354, 256, 4056, 17, 79, 13, 220, 5354, 220, 22666, 220, 662, 220, 16853, 262, 662, 47, 5481, 662, 662, 79, 2089, 18, 7271, 497, 662, 507, 17406, 662, 662, 16853, 256, 662, 18, 47, 79, 662, 297, 47, 18, 4527, 364, 47, 1644, 13, 662, 220, 19, 5354, 256, 662, 220, 662, 256, 662, 5354, 662, 220, 662, 220, 16853, 220, 662, 93, 3143, 262, 220, 18, 2089, 13, 220, 662, 7271, 18, 262, 551, 662, 5354, 220, 66992, 220, 66992, 220, 66992, 198, 220, 662, 47, 18, 46, 220, 662, 297, 47, 18, 78, 47, 18, 46, 18, 47, 6, 662, 662, 662, 256, 662, 611, 262, 611, 1761, 262, 611, 1761, 262, 40081, 256, 507, 18, 17406, 256, 507, 18, 79, 93, 662, 996, 662, 17406, 662, 13288, 2179, 14, 1761, 2179, 14, 611, 2179, 6018, 256, 364, 47, 662, 256, 220, 18, 79, 18, 13, 220, 297, 47, 18, 93, 13, 5354, 47, 17406, 662, 220, 662, 5354, 220, 662, 256, 662, 5354, 662, 220, 662, 220, 16853, 220, 662, 13906, 220, 662, 14128, 6, 220, 662, 46, 5481, 4527, 662, 18, 46, 13, 662, 220, 297, 58, 555, 393, 500, 10349, 2331, 5163, 47771, 482, 482, 662, 220, 16853, 262, 662, 9418, 5354, 220, 662, 262, 662, 721, 3143, 18, 497, 220, 662, 220, 662, 2485, 1129, 2569, 79, 500, 4340, 497, 16853, 260, 4056, 47, 18, 82663, 47, 2089, 18, 3143, 93, 662, 5354, 220, 16853, 1881, 662, 220, 364, 6389, 662, 220, 5354, 662, 662, 662, 5354, 220, 6905, 1, 19908, 8144, 12, 9480, 400, 472, 482, 86097, 12538, 20147, 271, 2, 19078, 422, 11659, 220, 22, 2036, 374, 4460, 627, 2, 7073, 12, 5119, 12358, 271, 75022, 4432, 284, 2175, 12, 4812, 198, 3, 2334, 4432, 284, 28910, 12, 1858, 482, 1858, 400, 5159, 38543, 28152, 4153, 51047, 4144, 482, 8553, 198, 3, 2569, 79, 500, 13290, 284, 320, 1991, 12, 1256, 400, 2334, 4432, 570, 3850, 47089, 271, 1681, 12, 4812, 482, 1858, 400, 2569, 79, 500, 13290, 271, 3, 4464, 2517, 284, 2175, 12, 2831, 482, 1858, 5312, 703, 2569, 79, 500, 13290, 10929, 2569, 79, 500, 59, 4464, 7345, 702, 14578, 284, 510, 27485, 60, 487, 43570, 703, 4464, 2517, 11, 12385, 4464, 565, 284, 12262, 76514, 4464, 8616, 67, 42815, 7255, 67, 10, 7255, 67, 50020, 61995, 1329, 3, 2569, 79, 500, 9625, 284, 400, 1407, 58, 15, 948, 22962, 681, 4464, 7352, 1150, 198, 333, 10505, 1962, 400, 2569, 79, 500, 9625, 8, 341, 220, 9842, 12, 9480, 330, 12340, 330, 482, 86097, 14071, 482, 2822, 3648, 1074, 198, 220, 9842, 12, 9480, 330, 17902, 8417, 5377, 47, 500, 2373, 10246, 220, 19532, 84256, 2123, 220, 16, 198, 534, 3, 3239, 25, 48280, 10907, 284, 400, 2569, 79, 500, 9625, 271, 285, 641, 4815, 8144, 12, 9480, 330, 20761, 330, 482, 2822, 3648, 1074, 482, 86097, 6307, 198, 8144, 12, 9480, 330, 26021, 5377, 47, 500, 44152, 2564, 330, 482, 86097, 4251, 271, 3, 5957, 4432, 11045, 284, 99788, 475, 5826, 198, 1527, 1612, 6159, 2013, 1179, 636, 35360, 198, 1374, 493, 47284, 13, 6390, 12, 39338, 2293, 5550, 35360, 1535, 5826, 20049, 58, 15, 25, 18, 11147, 1, 19908, 3, 5957, 4432, 284, 612, 10344, 482, 66, 400, 5957, 4432, 11045, 198, 8144, 12, 9480, 330, 11313, 6352, 2564, 3654, 5957, 4432, 10064, 482, 86097, 4251, 198, 3, 3239, 25, 48280, 8455, 284, 400, 5957, 4432, 271, 333, 320, 1991, 12, 4153, 374, 641, 482, 850, 2573, 8211, 4501, 24433, 482, 1480, 7983, 8773, 1480, 340, 517, 220, 374, 641, 5312, 2569, 79, 500, 13290, 59, 258, 2201, 22074, 13, 1056, 702, 7981, 341, 220, 9842, 12, 9480, 330, 12340, 35755, 1505, 763, 2201, 19139, 3290, 1, 482, 86097, 2579, 198, 220, 9842, 12, 9480, 330, 12340, 1472, 649, 4232, 433, 520, 3788, 1129, 60013, 37751, 2726, 11474, 482, 86097, 2579, 198, 220, 19532, 84256, 2123, 220, 16, 198, 3818, 8144, 12, 9480, 330, 20761, 330, 482, 2822, 3648, 1074, 482, 86097, 6307, 198, 8144, 12, 9480, 330, 4014, 5620, 1510, 6352, 702, 1681, 12, 4812, 482, 1858, 400, 3311, 4432, 271, 8144, 12, 9480, 75122, 330, 482, 2822, 3648, 1074, 482, 86097, 93243, 198, 8144, 12, 9480, 330, 2460, 2884, 13, 1472, 690, 1505, 5377, 47, 500, 44152, 304, 330, 482, 2822, 3648, 2519, 198, 8144, 12, 9480, 95897, 59, 5957, 15260, 482, 2822, 3648, 1074, 482, 86097, 7997, 198, 8144, 12, 9480, 330, 6352, 10246, 128001, 128000, 45, 5757, 1711, 13, 21579, 13, 60780, 627, 69320, 291, 304, 220, 1049, 24, 11, 23088, 42714, 4203, 2184, 6209, 6699, 449, 2911, 17051, 220, 18, 311, 220, 20, 1667, 2362, 264, 12742, 5873, 4315, 4216, 20587, 61905, 82, 304, 279, 65183, 11547, 661, 3158, 13, 23088, 42714, 4203, 2184, 374, 264, 220, 20, 39884, 22359, 6975, 4219, 29329, 311, 1798, 9585, 304, 1475, 1716, 11, 264, 3021, 369, 6975, 11, 264, 6928, 659, 15204, 1512, 11, 323, 264, 22785, 5647, 315, 24617, 304, 32145, 3927, 323, 1912, 2450, 13, 1102, 374, 1057, 5915, 311, 79530, 11, 39170, 11, 323, 8815, 701, 1716, 311, 4048, 323, 3139, 304, 264, 6220, 11, 33445, 4676, 627, 8142, 1690, 315, 1057, 4236, 617, 18677, 1938, 34672, 11, 23088, 42714, 4203, 2184, 374, 3629, 872, 1176, 3217, 304, 264, 810, 34030, 1514, 323, 14584, 61905, 4676, 13, 1226, 527, 63442, 430, 420, 9320, 649, 387, 64130, 311, 3995, 2911, 13, 3011, 374, 3249, 1057, 5687, 5097, 2294, 2512, 304, 6968, 323, 20958, 264, 9966, 11, 21955, 11, 82964, 16975, 369, 1855, 1716, 430, 11321, 1093, 2162, 13, 23088, 42714, 4203, 2184, 753, 2678, 5575, 2547, 3611, 2311, 701, 1716, 323, 1057, 5687, 279, 6776, 311, 2216, 636, 311, 1440, 832, 2500, 1555, 7446, 832, 10539, 19101, 16628, 11, 76579, 323, 38217, 627, 1688, 23088, 42714, 4203, 2184, 11, 701, 1716, 690, 1505, 264, 2132, 2162, 1405, 63081, 527, 1903, 6288, 11, 20057, 374, 16267, 3725, 43603, 11, 323, 1475, 1938, 315, 6975, 323, 1514, 374, 93396, 34030, 311, 2274, 872, 25702, 11, 14951, 22948, 11, 49069, 323, 11782, 7512, 11, 1418, 86282, 872, 28899, 627, 41651, 279, 10783, 25, 87599, 6342, 11, 386, 82433, 627, 57299, 1919, 20263, 1054, 15327, 863, 6342, 374, 279, 10783, 11, 323, 264, 3063, 11326, 520, 23088, 42714, 2009, 44159, 5955, 11, 264, 2361, 430, 1364, 706, 5762, 2533, 279, 61905, 753, 36330, 304, 220, 1049, 23, 13, 3005, 15662, 1077, 41534, 8547, 505, 39386, 9304, 304, 42691, 35967, 11, 4892, 13030, 304, 220, 1049, 16, 13, 23548, 3892, 1667, 304, 13166, 8735, 11, 87599, 11096, 45099, 10852, 439, 264, 7808, 11326, 1418, 3318, 389, 1077, 34722, 8547, 13, 3005, 15662, 1077, 19560, 8547, 304, 17128, 323, 62924, 1854, 505, 578, 3907, 315, 23503, 304, 220, 1049, 22, 627, 128001 ]
[ -100, 27, 5062, 815, 25259, 92255, 198, 220, 13202, 5429, 311, 1977, 5377, 47, 500, 89191, 382, 94220, 31698, 198, 220, 1115, 5429, 690, 1005, 2736, 5918, 5377, 47, 500, 320, 258, 1595, 5957, 63, 6352, 8, 323, 198, 220, 1893, 5632, 44152, 505, 433, 1701, 763, 2201, 19139, 320, 2485, 1129, 60013, 37751, 2726, 14, 696, 23208, 19454, 271, 5119, 29, 662, 59, 5957, 26756, 18212, 14283, 58428, 16, 271, 2, 1363, 1723, 5256, 12, 9685, 341, 262, 1719, 2625, 6035, 4818, 95380, 1889, 340, 262, 400, 12891, 284, 3605, 31629, 91, 24572, 59, 91, 702, 262, 400, 6495, 284, 220, 15, 198, 262, 400, 8975, 284, 40767, 12, 4153, 482, 38432, 678, 400, 3239, 25, 38432, 678, 482, 6035, 4818, 314, 400, 1889, 335, 482, 2170, 12524, 271, 262, 400, 4775, 981, 284, 400, 3875, 8380, 51675, 2327, 31029, 3897, 271, 262, 674, 400, 4775, 981, 7659, 6110, 220, 16, 271, 262, 1418, 27954, 8975, 19478, 482, 11251, 330, 19527, 909, 482, 438, 1746, 8975, 19478, 482, 818, 330, 2688, 33627, 5572, 262, 341, 286, 400, 3875, 8380, 51675, 2327, 31029, 3897, 284, 400, 4775, 981, 198, 286, 9842, 12, 9480, 400, 12891, 3525, 6495, 60, 482, 2822, 3648, 1074, 198, 286, 400, 6495, 23792, 286, 422, 1746, 6495, 482, 713, 400, 12891, 6976, 340, 286, 341, 310, 400, 6495, 284, 220, 15, 198, 286, 457, 286, 5256, 6354, 3583, 482, 42854, 220, 1041, 198, 262, 457, 262, 674, 1102, 596, 927, 482, 2867, 279, 5820, 21070, 627, 262, 400, 3875, 8380, 51675, 2327, 31029, 3897, 284, 400, 4775, 981, 198, 262, 9842, 12, 9480, 364, 8044, 220, 366, 5062, 220, 662, 18923, 45, 92255, 198, 220, 10848, 36591, 369, 4401, 2683, 198, 220, 662, 20810, 20856, 2082, 198, 220, 12280, 311, 3113, 36591, 369, 198, 220, 674, 397, 3818, 1723, 19532, 84256, 2123, 703, 13966, 1889, 8, 341, 256, 674, 8442, 4974, 420, 3552, 1920, 422, 433, 596, 264, 1716, 315, 2500, 75062, 2748, 1920, 9522, 256, 400, 3850, 34851, 284, 320, 1991, 7813, 318, 2584, 482, 14883, 12468, 843, 71341, 482, 5750, 330, 7575, 769, 3266, 34851, 1, 765, 8593, 12, 1211, 482, 3128, 17457, 7575, 769, 570, 8553, 7575, 769, 198, 256, 400, 3850, 25522, 678, 284, 320, 1991, 7813, 318, 2584, 482, 14883, 12468, 843, 71341, 482, 5750, 330, 7575, 769, 3266, 3850, 34851, 1, 765, 8593, 12, 1211, 482, 3128, 4076, 570, 678, 198, 256, 422, 4417, 78404, 57195, 19963, 6, 482, 11251, 400, 3850, 25522, 678, 8, 314, 400, 3875, 4296, 15346, 15699, 703, 13966, 1889, 8, 557, 256, 4974, 400, 13966, 1889, 198, 633, 1723, 7073, 12, 5119, 12358, 368, 341, 262, 422, 1746, 5119, 5755, 2620, 1087, 50, 5755, 1345, 3111, 482, 4937, 220, 22, 8, 341, 286, 9842, 12, 9480, 330, 12340, 330, 482, 2822, 3648, 1074, 482, 86097, 3816, 198, 286, 9842, 12, 9480, 330, 2675, 527, 1701, 2362, 2373, 315, 75062, 13, 95077, 5119, 5755, 2620, 1087, 50, 5755, 1345, 3111, 570, 3, 703, 5119, 5755, 2620, 1087, 50, 5755, 17507, 269, 13251, 286, 9842, 12, 9480, 330, 5618, 2713, 311, 520, 3325, 220, 22, 13, 15, 482, 330, 482, 2822, 3648, 1074, 482, 86097, 24255, 198, 286, 9842, 12, 9480, 330, 2485, 1129, 5316, 916, 14, 15335, 26354, 14, 15335, 26354, 59287, 1, 482, 86097, 5929, 198, 286, 19532, 84256, 2123, 220, 16, 198, 262, 457, 633, 3, 472, 284, 571, 1875, 1835, 662, 662, 256, 5354, 257, 662, 262, 55638, 286, 721, 78, 46, 3143, 18, 3143, 47, 18, 7271, 5056, 16853, 257, 662, 4505, 5481, 93, 13, 256, 5354, 256, 4056, 17, 79, 13, 220, 5354, 220, 22666, 220, 662, 220, 16853, 262, 662, 47, 5481, 662, 662, 79, 2089, 18, 7271, 497, 662, 507, 17406, 662, 662, 16853, 256, 662, 18, 47, 79, 662, 297, 47, 18, 4527, 364, 47, 1644, 13, 662, 220, 19, 5354, 256, 662, 220, 662, 256, 662, 5354, 662, 220, 662, 220, 16853, 220, 662, 93, 3143, 262, 220, 18, 2089, 13, 220, 662, 7271, 18, 262, 551, 662, 5354, 220, 66992, 220, 66992, 220, 66992, 198, 220, 662, 47, 18, 46, 220, 662, 297, 47, 18, 78, 47, 18, 46, 18, 47, 6, 662, 662, 662, 256, 662, 611, 262, 611, 1761, 262, 611, 1761, 262, 40081, 256, 507, 18, 17406, 256, 507, 18, 79, 93, 662, 996, 662, 17406, 662, 13288, 2179, 14, 1761, 2179, 14, 611, 2179, 6018, 256, 364, 47, 662, 256, 220, 18, 79, 18, 13, 220, 297, 47, 18, 93, 13, 5354, 47, 17406, 662, 220, 662, 5354, 220, 662, 256, 662, 5354, 662, 220, 662, 220, 16853, 220, 662, 13906, 220, 662, 14128, 6, 220, 662, 46, 5481, 4527, 662, 18, 46, 13, 662, 220, 297, 58, 555, 393, 500, 10349, 2331, 5163, 47771, 482, 482, 662, 220, 16853, 262, 662, 9418, 5354, 220, 662, 262, 662, 721, 3143, 18, 497, 220, 662, 220, 662, 2485, 1129, 2569, 79, 500, 4340, 497, 16853, 260, 4056, 47, 18, 82663, 47, 2089, 18, 3143, 93, 662, 5354, 220, 16853, 1881, 662, 220, 364, 6389, 662, 220, 5354, 662, 662, 662, 5354, 220, 6905, 1, 19908, 8144, 12, 9480, 400, 472, 482, 86097, 12538, 20147, 271, 2, 19078, 422, 11659, 220, 22, 2036, 374, 4460, 627, 2, 7073, 12, 5119, 12358, 271, 75022, 4432, 284, 2175, 12, 4812, 198, 3, 2334, 4432, 284, 28910, 12, 1858, 482, 1858, 400, 5159, 38543, 28152, 4153, 51047, 4144, 482, 8553, 198, 3, 2569, 79, 500, 13290, 284, 320, 1991, 12, 1256, 400, 2334, 4432, 570, 3850, 47089, 271, 1681, 12, 4812, 482, 1858, 400, 2569, 79, 500, 13290, 271, 3, 4464, 2517, 284, 2175, 12, 2831, 482, 1858, 5312, 703, 2569, 79, 500, 13290, 10929, 2569, 79, 500, 59, 4464, 7345, 702, 14578, 284, 510, 27485, 60, 487, 43570, 703, 4464, 2517, 11, 12385, 4464, 565, 284, 12262, 76514, 4464, 8616, 67, 42815, 7255, 67, 10, 7255, 67, 50020, 61995, 1329, 3, 2569, 79, 500, 9625, 284, 400, 1407, 58, 15, 948, 22962, 681, 4464, 7352, 1150, 198, 333, 10505, 1962, 400, 2569, 79, 500, 9625, 8, 341, 220, 9842, 12, 9480, 330, 12340, 330, 482, 86097, 14071, 482, 2822, 3648, 1074, 198, 220, 9842, 12, 9480, 330, 17902, 8417, 5377, 47, 500, 2373, 10246, 220, 19532, 84256, 2123, 220, 16, 198, 534, 3, 3239, 25, 48280, 10907, 284, 400, 2569, 79, 500, 9625, 271, 285, 641, 4815, 8144, 12, 9480, 330, 20761, 330, 482, 2822, 3648, 1074, 482, 86097, 6307, 198, 8144, 12, 9480, 330, 26021, 5377, 47, 500, 44152, 2564, 330, 482, 86097, 4251, 271, 3, 5957, 4432, 11045, 284, 99788, 475, 5826, 198, 1527, 1612, 6159, 2013, 1179, 636, 35360, 198, 1374, 493, 47284, 13, 6390, 12, 39338, 2293, 5550, 35360, 1535, 5826, 20049, 58, 15, 25, 18, 11147, 1, 19908, 3, 5957, 4432, 284, 612, 10344, 482, 66, 400, 5957, 4432, 11045, 198, 8144, 12, 9480, 330, 11313, 6352, 2564, 3654, 5957, 4432, 10064, 482, 86097, 4251, 198, 3, 3239, 25, 48280, 8455, 284, 400, 5957, 4432, 271, 333, 320, 1991, 12, 4153, 374, 641, 482, 850, 2573, 8211, 4501, 24433, 482, 1480, 7983, 8773, 1480, 340, 517, 220, 374, 641, 5312, 2569, 79, 500, 13290, 59, 258, 2201, 22074, 13, 1056, 702, 7981, 341, 220, 9842, 12, 9480, 330, 12340, 35755, 1505, 763, 2201, 19139, 3290, 1, 482, 86097, 2579, 198, 220, 9842, 12, 9480, 330, 12340, 1472, 649, 4232, 433, 520, 3788, 1129, 60013, 37751, 2726, 11474, 482, 86097, 2579, 198, 220, 19532, 84256, 2123, 220, 16, 198, 3818, 8144, 12, 9480, 330, 20761, 330, 482, 2822, 3648, 1074, 482, 86097, 6307, 198, 8144, 12, 9480, 330, 4014, 5620, 1510, 6352, 702, 1681, 12, 4812, 482, 1858, 400, 3311, 4432, 271, 8144, 12, 9480, 75122, 330, 482, 2822, 3648, 1074, 482, 86097, 93243, 198, 8144, 12, 9480, 330, 2460, 2884, 13, 1472, 690, 1505, 5377, 47, 500, 44152, 304, 330, 482, 2822, 3648, 2519, 198, 8144, 12, 9480, 95897, 59, 5957, 15260, 482, 2822, 3648, 1074, 482, 86097, 7997, 198, 8144, 12, 9480, 330, 6352, 10246, 128001, -100, 45, 5757, 1711, 13, 21579, 13, 60780, 627, 69320, 291, 304, 220, 1049, 24, 11, 23088, 42714, 4203, 2184, 6209, 6699, 449, 2911, 17051, 220, 18, 311, 220, 20, 1667, 2362, 264, 12742, 5873, 4315, 4216, 20587, 61905, 82, 304, 279, 65183, 11547, 661, 3158, 13, 23088, 42714, 4203, 2184, 374, 264, 220, 20, 39884, 22359, 6975, 4219, 29329, 311, 1798, 9585, 304, 1475, 1716, 11, 264, 3021, 369, 6975, 11, 264, 6928, 659, 15204, 1512, 11, 323, 264, 22785, 5647, 315, 24617, 304, 32145, 3927, 323, 1912, 2450, 13, 1102, 374, 1057, 5915, 311, 79530, 11, 39170, 11, 323, 8815, 701, 1716, 311, 4048, 323, 3139, 304, 264, 6220, 11, 33445, 4676, 627, 8142, 1690, 315, 1057, 4236, 617, 18677, 1938, 34672, 11, 23088, 42714, 4203, 2184, 374, 3629, 872, 1176, 3217, 304, 264, 810, 34030, 1514, 323, 14584, 61905, 4676, 13, 1226, 527, 63442, 430, 420, 9320, 649, 387, 64130, 311, 3995, 2911, 13, 3011, 374, 3249, 1057, 5687, 5097, 2294, 2512, 304, 6968, 323, 20958, 264, 9966, 11, 21955, 11, 82964, 16975, 369, 1855, 1716, 430, 11321, 1093, 2162, 13, 23088, 42714, 4203, 2184, 753, 2678, 5575, 2547, 3611, 2311, 701, 1716, 323, 1057, 5687, 279, 6776, 311, 2216, 636, 311, 1440, 832, 2500, 1555, 7446, 832, 10539, 19101, 16628, 11, 76579, 323, 38217, 627, 1688, 23088, 42714, 4203, 2184, 11, 701, 1716, 690, 1505, 264, 2132, 2162, 1405, 63081, 527, 1903, 6288, 11, 20057, 374, 16267, 3725, 43603, 11, 323, 1475, 1938, 315, 6975, 323, 1514, 374, 93396, 34030, 311, 2274, 872, 25702, 11, 14951, 22948, 11, 49069, 323, 11782, 7512, 11, 1418, 86282, 872, 28899, 627, 41651, 279, 10783, 25, 87599, 6342, 11, 386, 82433, 627, 57299, 1919, 20263, 1054, 15327, 863, 6342, 374, 279, 10783, 11, 323, 264, 3063, 11326, 520, 23088, 42714, 2009, 44159, 5955, 11, 264, 2361, 430, 1364, 706, 5762, 2533, 279, 61905, 753, 36330, 304, 220, 1049, 23, 13, 3005, 15662, 1077, 41534, 8547, 505, 39386, 9304, 304, 42691, 35967, 11, 4892, 13030, 304, 220, 1049, 16, 13, 23548, 3892, 1667, 304, 13166, 8735, 11, 87599, 11096, 45099, 10852, 439, 264, 7808, 11326, 1418, 3318, 389, 1077, 34722, 8547, 13, 3005, 15662, 1077, 19560, 8547, 304, 17128, 323, 62924, 1854, 505, 578, 3907, 315, 23503, 304, 220, 1049, 22, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381 ]
[ 128000, 16, 482, 14879, 198, 14562, 315, 1274, 11, 7634, 11, 323, 5255, 3956, 8621, 389, 527, 3060, 198, 1820, 3424, 315, 279, 2883, 11, 477, 527, 1511, 36881, 449, 3237, 8041, 315, 279, 198, 10348, 13, 11115, 6062, 10555, 11, 682, 2262, 5343, 389, 345, 16564, 5448, 11, 45543, 11, 14769, 11, 24699, 11, 25232, 11, 2835, 27203, 11, 323, 5439, 198, 438, 1023, 7384, 11, 374, 279, 3424, 315, 279, 2883, 477, 1202, 20972, 11, 8717, 11, 477, 198, 2715, 4008, 988, 323, 374, 2682, 555, 34061, 323, 6625, 7065, 7016, 13, 578, 198, 5807, 13763, 315, 374, 279, 14079, 3424, 315, 279, 2883, 323, 374, 198, 5883, 555, 34061, 323, 6625, 7065, 7016, 13, 5884, 45571, 1005, 315, 904, 198, 1834, 477, 7384, 389, 374, 26549, 27010, 323, 1253, 41587, 198, 15859, 323, 32464, 7016, 323, 5255, 279, 7016, 315, 12625, 11, 43763, 11, 323, 5255, 198, 44410, 14640, 323, 62282, 13, 5884, 1005, 315, 279, 7384, 477, 2262, 389, 649, 387, 1903, 1193, 449, 279, 4972, 5439, 323, 3237, 24645, 198, 1073, 279, 2883, 13, 1789, 4726, 2038, 389, 1268, 499, 1253, 6994, 24645, 311, 1005, 198, 3852, 7384, 477, 2262, 389, 11, 4587, 3729, 279, 2883, 627, 17, 482, 97961, 24995, 50, 198, 2460, 42134, 11, 6696, 8679, 323, 2532, 15785, 323, 872, 20081, 14769, 323, 5255, 198, 848, 437, 627, 18, 482, 12367, 3651, 55771, 51652, 198, 1687, 13500, 499, 264, 7347, 5842, 311, 1304, 4443, 1005, 1193, 315, 627, 21365, 13500, 1587, 539, 2997, 11, 2085, 20893, 25, 320, 64, 8, 904, 99324, 477, 8518, 1005, 315, 477, 904, 315, 279, 8970, 315, 26, 320, 65, 8, 17466, 345, 89171, 367, 11, 14807, 11, 10134, 15009, 11, 409, 5807, 13763, 11, 834, 15343, 477, 198, 74825, 1139, 3823, 34898, 1376, 904, 315, 279, 8970, 315, 539, 198, 396, 2954, 311, 387, 779, 1373, 11, 2737, 1005, 315, 477, 6089, 20705, 279, 16940, 9492, 477, 198, 1605, 2082, 505, 3734, 439, 33398, 323, 12882, 304, 264, 3566, 198, 23279, 26, 320, 66, 8, 32139, 11, 737, 50644, 11, 8822, 90679, 11, 14843, 6253, 11, 50812, 11, 23763, 345, 2996, 10853, 11, 29040, 11, 16785, 11, 17437, 477, 78768, 904, 315, 279, 8970, 315, 320, 16564, 904, 2883, 42134, 8, 304, 904, 1376, 477, 555, 904, 198, 47321, 11, 2737, 11, 719, 539, 7347, 311, 11, 14683, 11, 22936, 11, 99336, 1289, 287, 11, 14975, 198, 269, 6062, 26, 320, 67, 8, 279, 4526, 323, 1005, 315, 904, 2027, 26544, 477, 28887, 26, 320, 68, 340, 28936, 32905, 5829, 315, 323, 904, 315, 279, 8970, 315, 26, 477, 320, 69, 8, 1005, 315, 904, 828, 11935, 11, 50629, 11, 63236, 11, 28598, 7526, 477, 198, 65387, 828, 23738, 323, 33289, 5528, 11, 6089, 477, 46345, 11, 389, 279, 8970, 198, 1073, 477, 311, 6667, 904, 2038, 505, 477, 904, 198, 1605, 1217, 315, 13, 128001, 128000, 97643, 1198, 264, 3428, 23862, 4562, 315, 279, 95450, 1887, 13, 358, 649, 1518, 1124, 439, 86419, 304, 20634, 477, 279, 20723, 315, 1063, 523, 4023, 2265, 52805, 11, 8996, 279, 6376, 18651, 271, 47, 1759, 28674, 1198, 15037, 6755, 315, 433, 1603, 13, 45241, 1093, 264, 1063, 59057, 859, 315, 2383, 13, 10926, 1093, 264, 37019, 2373, 315, 763, 9383, 1960, 382, 22630, 324, 1198, 320, 62080, 8, 10597, 28185, 477, 4033, 13, 358, 2733, 1093, 4423, 6832, 9650, 374, 16495, 389, 3062, 13146, 4560, 311, 1505, 704, 422, 279, 29913, 527, 37849, 271, 20577, 32084, 1198, 27140, 1148, 5526, 7829, 706, 1903, 1124, 358, 1518, 1124, 439, 29947, 41957, 11, 22542, 52075, 323, 24005, 315, 264, 63854, 11, 837, 323, 10748, 304, 872, 56357, 323, 27607, 271, 17230, 1198, 4423, 3318, 99229, 389, 4423, 596, 17981, 11, 264, 3460, 315, 29329, 63635, 11, 539, 264, 12896, 1732, 719, 264, 21930, 477, 264, 69050, 11, 330, 55975, 315, 279, 9354, 1, 34490, 3245, 128001, 128000, 8538, 7564, 5415, 420, 994, 568, 6944, 832, 311, 3009, 4560, 311, 636, 3871, 1578, 449, 701, 627, 7009, 374, 8010, 430, 8996, 264, 111968, 30, 20489, 64, 111968, 16500, 814, 6209, 499, 13524, 649, 64, 111968, 16500, 83, 636, 3871, 1578, 11, 832, 64, 111968, 16500, 265, 32421, 6056, 704, 264, 11827, 2212, 814, 902, 3445, 499, 1121, 304, 279, 8125, 3117, 505, 279, 8206, 8830, 2586, 1203, 11093, 449, 701, 627, 55915, 555, 66084, 287, 430, 433, 64, 111968, 16500, 82, 922, 701, 11, 420, 3927, 690, 1304, 433, 5435, 459, 3927, 649, 64, 111968, 16500, 83, 4495, 11, 2533, 499, 649, 64, 111968, 16500, 83, 7833, 4442, 1120, 1268, 814, 649, 2733, 627, 3923, 568, 64, 111968, 16500, 82, 4560, 311, 1501, 499, 374, 430, 568, 3250, 64, 111968, 16500, 83, 1205, 311, 636, 3871, 1578, 311, 499, 264, 111968, 2118, 323, 430, 568, 690, 3458, 111968, 16500, 83, 1390, 499, 311, 387, 304, 16066, 904, 5129, 16026, 311, 636, 1461, 7833, 1203, 627, 1016, 460, 111968, 16500, 82, 264, 2466, 8450, 568, 64, 111968, 16500, 82, 30073, 264, 111968, 2118, 323, 264, 11191, 21070, 430, 568, 64, 111968, 16500, 82, 810, 927, 499, 1109, 499, 2643, 387, 927, 1461, 627, 6153, 264, 6859, 709, 11, 433, 64, 111968, 16500, 82, 264, 2294, 4623, 311, 25725, 701, 659, 1139, 11510, 315, 5652, 12034, 320, 258, 2015, 311, 2339, 12034, 433, 753, 4461, 499, 617, 12504, 555, 1648, 315, 279, 5627, 579, 1418, 304, 279, 15507, 627, 26021, 6883, 502, 12034, 690, 1520, 499, 27661, 11, 433, 649, 1520, 499, 1781, 2731, 3788, 1129, 14442, 97646, 5181, 93850, 32360, 1773, 1113, 11, 433, 1253, 1520, 1935, 701, 4059, 505, 279, 36366, 2136, 389, 279, 6859, 11, 5636, 433, 649, 1520, 499, 5208, 627, 1687, 12192, 420, 9650, 8244, 315, 1057, 6859, 28292, 320, 39393, 449, 1057, 13363, 389, 12588, 701, 304, 471, 705, 779, 304, 279, 1162, 568, 64, 111968, 16500, 82, 10917, 5678, 1139, 5652, 323, 9191, 58724, 11, 7344, 433, 753, 1606, 568, 64, 111968, 16500, 82, 4560, 311, 5208, 627, 81655, 315, 279, 892, 4261, 15716, 506, 288, 38330, 8666, 449, 4885, 433, 1436, 1518, 5115, 1344, 16938, 304, 1990, 1124, 627, 1271, 387, 10978, 11, 279, 66264, 374, 2103, 1070, 11, 323, 2225, 8717, 3719, 8208, 430, 3460, 315, 4597, 24639, 627, 4516, 304, 279, 1162, 3131, 499, 19570, 449, 832, 2500, 320, 5562, 499, 10491, 64, 111968, 16500, 265, 7556, 4791, 2225, 8, 1070, 64, 111968, 16500, 82, 912, 4597, 24639, 449, 704, 88342, 11, 779, 1070, 1511, 311, 387, 64, 111968, 65721, 430, 64, 111968, 16500, 82, 264, 6908, 1879, 568, 64, 111968, 16500, 82, 76722, 323, 3794, 4028, 279, 15664, 627, 26840, 3821, 704, 369, 1521, 15785, 1461, 477, 1077, 374, 3794, 927, 499, 264, 111968, 2118, 304, 1162, 499, 1440, 1148, 34824, 568, 64, 111968, 16500, 82, 45296, 64, 111968, 16500, 265, 16926, 17631, 389, 1124, 311, 1505, 279, 1888, 1648, 311, 3719, 701, 1203, 627, 40, 13383, 433, 64, 111968, 16500, 82, 2216, 83372, 477, 26175, 311, 1518, 1521, 323, 1781, 922, 701, 506, 32931, 323, 1694, 1306, 6453, 11552, 13, 13969, 304, 4059, 430, 3582, 568, 2643, 3719, 7366, 4741, 11, 433, 649, 3458, 111968, 16500, 83, 4284, 459, 3927, 1541, 64, 111968, 16500, 83, 636, 279, 6776, 311, 2586, 1461, 477, 1077, 7833, 1203, 11, 323, 1524, 810, 23659, 25, 279, 810, 5107, 568, 64, 111968, 16500, 82, 3411, 311, 733, 389, 505, 701, 1866, 15507, 11, 279, 1790, 810, 4461, 433, 2216, 374, 568, 2103, 706, 2466, 19451, 6994, 481, 16853, 4516, 1457, 902, 499, 64, 111968, 16500, 588, 19426, 264, 1790, 2731, 6945, 315, 1148, 5216, 311, 733, 11, 7041, 1148, 422, 499, 6920, 704, 3432, 5380, 8780, 892, 499, 64, 111968, 16500, 265, 1120, 3411, 369, 12195, 430, 568, 64, 111968, 16500, 82, 927, 584, 2574, 2643, 2873, 12266, 264, 111968, 2118, 719, 814, 64, 111968, 16500, 265, 1193, 220, 16, 611, 220, 17, 315, 279, 6671, 627, 13246, 584, 11224, 1603, 11, 433, 64, 111968, 16500, 82, 35977, 922, 279, 49331, 568, 64, 111968, 16500, 82, 3411, 311, 636, 927, 701, 11, 279, 7191, 279, 21958, 568, 374, 2103, 19167, 449, 8670, 627, 6899, 54358, 422, 499, 64, 111968, 16500, 265, 22128, 369, 8450, 430, 568, 64, 111968, 16500, 82, 42386, 505, 459, 3927, 11, 387, 389, 279, 72015, 315, 1521, 3544, 6029, 430, 506, 4869, 13452, 701, 627, 2746, 499, 1397, 279, 13803, 832, 1288, 1935, 264, 1427, 520, 2246, 3485, 11, 358, 64, 111968, 16500, 76, 690, 743, 682, 315, 1124, 3770, 1828, 11, 701, 1633, 1866, 19679, 627, 12805, 810, 11, 1373, 279, 3350, 5352, 422, 499, 10932, 264, 11944, 16540, 315, 1148, 1855, 832, 315, 1521, 56190, 374, 264, 111968, 2118, 323, 1148, 499, 22525, 311, 656, 304, 1855, 315, 1521, 4819, 311, 61319, 813, 11939, 323, 6994, 1461, 2500, 369, 499, 16102, 13, 128001, 128000, 20215, 3278, 889, 42839, 6688, 872, 502, 40260, 26419, 709, 369, 25375, 304, 220, 6393, 20, 11, 5895, 422, 279, 220, 20, 4771, 2362, 49748, 315, 264, 11277, 10121, 11, 7086, 304, 279, 2254, 32594, 11, 374, 872, 1317, 39130, 91244, 4538, 627, 32, 2678, 6424, 17222, 1543, 596, 8990, 1139, 264, 2254, 2363, 648, 5784, 10800, 709, 264, 3566, 315, 17057, 9977, 627, 8161, 956, 11913, 1521, 7724, 3156, 499, 1440, 872, 14853, 53179, 627, 26368, 21254, 258, 25, 510, 10438, 9564, 369, 279, 6411, 60, 2684, 596, 4423, 775, 627, 86383, 63140, 273, 18714, 1105, 35674, 25, 35272, 775, 5380, 26368, 21254, 258, 25, 6984, 2162, 13, 13538, 358, 2322, 499, 13, 358, 1131, 358, 649, 956, 10894, 1077, 13, 358, 6818, 311, 719, 358, 649, 956, 627, 26368, 21254, 258, 25, 3234, 499, 2216, 3021, 1077, 5380, 26368, 21254, 258, 25, 1226, 4024, 311, 2978, 3871, 13, 1226, 3077, 3967, 1855, 1023, 2533, 584, 1051, 6980, 13, 31033, 11, 358, 649, 956, 1524, 10552, 433, 311, 7182, 13, 2052, 358, 649, 2610, 374, 4587, 44491, 757, 1131, 25961, 2555, 13, 25961, 47555, 311, 757, 13, 25672, 757, 499, 3987, 358, 636, 7577, 13, 2030, 1541, 956, 1120, 2559, 1070, 3411, 520, 757, 627, 20215, 3278, 3477, 872, 3347, 6439, 1418, 814, 3868, 369, 3754, 430, 690, 2349, 279, 3938, 12756, 369, 832, 315, 1124, 627, 4071, 433, 4536, 956, 330, 35364, 311, 14853, 468, 1924, 1, 4999, 99004, 16038, 279, 21648, 1752, 1005, 315, 279, 15150, 505, 386, 1201, 572, 53322, 6, 7491, 1816, 11, 330, 20215, 53179, 1, 374, 459, 32180, 11, 1664, 67383, 20156, 13, 13596, 38723, 311, 39813, 14853, 468, 1924, 498, 323, 832, 430, 358, 617, 912, 46655, 311, 11, 374, 11767, 55034, 66549, 11, 90530, 29306, 612, 42893, 13041, 1694, 15196, 11, 9193, 19411, 3278, 26, 539, 264, 9562, 85407, 18994, 477, 308, 1631, 22718, 304, 14254, 627, 32, 2132, 5818, 430, 3782, 311, 4059, 1418, 10307, 330, 20215, 53179, 1, 574, 330, 791, 6295, 78844, 1, 449, 1202, 3772, 68124, 315, 70779, 19578, 18702, 323, 71701, 264, 21426, 13, 4452, 13944, 261, 596, 4632, 8272, 420, 832, 627, 791, 6366, 24298, 39037, 26306, 1595, 40, 636, 264, 10536, 704, 315, 499, 6, 374, 1664, 1511, 389, 279, 45999, 13, 128001, 128000, 1688, 279, 6332, 315, 445, 529, 2244, 63497, 753, 11376, 374, 279, 4443, 2065, 315, 13444, 304, 2015, 311, 2686, 279, 18651, 315, 279, 9193, 17226, 22673, 13, 1115, 3137, 690, 5357, 389, 279, 10648, 315, 5780, 6975, 304, 57088, 8903, 8522, 323, 8599, 7766, 430, 2187, 603, 539, 1193, 311, 81938, 1057, 1620, 13444, 3956, 719, 1101, 279, 1217, 3217, 13, 13257, 6975, 706, 264, 19091, 3560, 304, 1057, 9256, 1555, 279, 40761, 315, 279, 6908, 3392, 315, 2561, 828, 323, 279, 3293, 31003, 304, 6500, 11376, 430, 9087, 279, 49179, 315, 57088, 8903, 627, 128001 ]
[ -100, 16, 482, 14879, 198, 14562, 315, 1274, 11, 7634, 11, 323, 5255, 3956, 8621, 389, 527, 3060, 198, 1820, 3424, 315, 279, 2883, 11, 477, 527, 1511, 36881, 449, 3237, 8041, 315, 279, 198, 10348, 13, 11115, 6062, 10555, 11, 682, 2262, 5343, 389, 345, 16564, 5448, 11, 45543, 11, 14769, 11, 24699, 11, 25232, 11, 2835, 27203, 11, 323, 5439, 198, 438, 1023, 7384, 11, 374, 279, 3424, 315, 279, 2883, 477, 1202, 20972, 11, 8717, 11, 477, 198, 2715, 4008, 988, 323, 374, 2682, 555, 34061, 323, 6625, 7065, 7016, 13, 578, 198, 5807, 13763, 315, 374, 279, 14079, 3424, 315, 279, 2883, 323, 374, 198, 5883, 555, 34061, 323, 6625, 7065, 7016, 13, 5884, 45571, 1005, 315, 904, 198, 1834, 477, 7384, 389, 374, 26549, 27010, 323, 1253, 41587, 198, 15859, 323, 32464, 7016, 323, 5255, 279, 7016, 315, 12625, 11, 43763, 11, 323, 5255, 198, 44410, 14640, 323, 62282, 13, 5884, 1005, 315, 279, 7384, 477, 2262, 389, 649, 387, 1903, 1193, 449, 279, 4972, 5439, 323, 3237, 24645, 198, 1073, 279, 2883, 13, 1789, 4726, 2038, 389, 1268, 499, 1253, 6994, 24645, 311, 1005, 198, 3852, 7384, 477, 2262, 389, 11, 4587, 3729, 279, 2883, 627, 17, 482, 97961, 24995, 50, 198, 2460, 42134, 11, 6696, 8679, 323, 2532, 15785, 323, 872, 20081, 14769, 323, 5255, 198, 848, 437, 627, 18, 482, 12367, 3651, 55771, 51652, 198, 1687, 13500, 499, 264, 7347, 5842, 311, 1304, 4443, 1005, 1193, 315, 627, 21365, 13500, 1587, 539, 2997, 11, 2085, 20893, 25, 320, 64, 8, 904, 99324, 477, 8518, 1005, 315, 477, 904, 315, 279, 8970, 315, 26, 320, 65, 8, 17466, 345, 89171, 367, 11, 14807, 11, 10134, 15009, 11, 409, 5807, 13763, 11, 834, 15343, 477, 198, 74825, 1139, 3823, 34898, 1376, 904, 315, 279, 8970, 315, 539, 198, 396, 2954, 311, 387, 779, 1373, 11, 2737, 1005, 315, 477, 6089, 20705, 279, 16940, 9492, 477, 198, 1605, 2082, 505, 3734, 439, 33398, 323, 12882, 304, 264, 3566, 198, 23279, 26, 320, 66, 8, 32139, 11, 737, 50644, 11, 8822, 90679, 11, 14843, 6253, 11, 50812, 11, 23763, 345, 2996, 10853, 11, 29040, 11, 16785, 11, 17437, 477, 78768, 904, 315, 279, 8970, 315, 320, 16564, 904, 2883, 42134, 8, 304, 904, 1376, 477, 555, 904, 198, 47321, 11, 2737, 11, 719, 539, 7347, 311, 11, 14683, 11, 22936, 11, 99336, 1289, 287, 11, 14975, 198, 269, 6062, 26, 320, 67, 8, 279, 4526, 323, 1005, 315, 904, 2027, 26544, 477, 28887, 26, 320, 68, 340, 28936, 32905, 5829, 315, 323, 904, 315, 279, 8970, 315, 26, 477, 320, 69, 8, 1005, 315, 904, 828, 11935, 11, 50629, 11, 63236, 11, 28598, 7526, 477, 198, 65387, 828, 23738, 323, 33289, 5528, 11, 6089, 477, 46345, 11, 389, 279, 8970, 198, 1073, 477, 311, 6667, 904, 2038, 505, 477, 904, 198, 1605, 1217, 315, 13, 128001, -100, 97643, 1198, 264, 3428, 23862, 4562, 315, 279, 95450, 1887, 13, 358, 649, 1518, 1124, 439, 86419, 304, 20634, 477, 279, 20723, 315, 1063, 523, 4023, 2265, 52805, 11, 8996, 279, 6376, 18651, 271, 47, 1759, 28674, 1198, 15037, 6755, 315, 433, 1603, 13, 45241, 1093, 264, 1063, 59057, 859, 315, 2383, 13, 10926, 1093, 264, 37019, 2373, 315, 763, 9383, 1960, 382, 22630, 324, 1198, 320, 62080, 8, 10597, 28185, 477, 4033, 13, 358, 2733, 1093, 4423, 6832, 9650, 374, 16495, 389, 3062, 13146, 4560, 311, 1505, 704, 422, 279, 29913, 527, 37849, 271, 20577, 32084, 1198, 27140, 1148, 5526, 7829, 706, 1903, 1124, 358, 1518, 1124, 439, 29947, 41957, 11, 22542, 52075, 323, 24005, 315, 264, 63854, 11, 837, 323, 10748, 304, 872, 56357, 323, 27607, 271, 17230, 1198, 4423, 3318, 99229, 389, 4423, 596, 17981, 11, 264, 3460, 315, 29329, 63635, 11, 539, 264, 12896, 1732, 719, 264, 21930, 477, 264, 69050, 11, 330, 55975, 315, 279, 9354, 1, 34490, 3245, 128001, -100, 8538, 7564, 5415, 420, 994, 568, 6944, 832, 311, 3009, 4560, 311, 636, 3871, 1578, 449, 701, 627, 7009, 374, 8010, 430, 8996, 264, 111968, 30, 20489, 64, 111968, 16500, 814, 6209, 499, 13524, 649, 64, 111968, 16500, 83, 636, 3871, 1578, 11, 832, 64, 111968, 16500, 265, 32421, 6056, 704, 264, 11827, 2212, 814, 902, 3445, 499, 1121, 304, 279, 8125, 3117, 505, 279, 8206, 8830, 2586, 1203, 11093, 449, 701, 627, 55915, 555, 66084, 287, 430, 433, 64, 111968, 16500, 82, 922, 701, 11, 420, 3927, 690, 1304, 433, 5435, 459, 3927, 649, 64, 111968, 16500, 83, 4495, 11, 2533, 499, 649, 64, 111968, 16500, 83, 7833, 4442, 1120, 1268, 814, 649, 2733, 627, 3923, 568, 64, 111968, 16500, 82, 4560, 311, 1501, 499, 374, 430, 568, 3250, 64, 111968, 16500, 83, 1205, 311, 636, 3871, 1578, 311, 499, 264, 111968, 2118, 323, 430, 568, 690, 3458, 111968, 16500, 83, 1390, 499, 311, 387, 304, 16066, 904, 5129, 16026, 311, 636, 1461, 7833, 1203, 627, 1016, 460, 111968, 16500, 82, 264, 2466, 8450, 568, 64, 111968, 16500, 82, 30073, 264, 111968, 2118, 323, 264, 11191, 21070, 430, 568, 64, 111968, 16500, 82, 810, 927, 499, 1109, 499, 2643, 387, 927, 1461, 627, 6153, 264, 6859, 709, 11, 433, 64, 111968, 16500, 82, 264, 2294, 4623, 311, 25725, 701, 659, 1139, 11510, 315, 5652, 12034, 320, 258, 2015, 311, 2339, 12034, 433, 753, 4461, 499, 617, 12504, 555, 1648, 315, 279, 5627, 579, 1418, 304, 279, 15507, 627, 26021, 6883, 502, 12034, 690, 1520, 499, 27661, 11, 433, 649, 1520, 499, 1781, 2731, 3788, 1129, 14442, 97646, 5181, 93850, 32360, 1773, 1113, 11, 433, 1253, 1520, 1935, 701, 4059, 505, 279, 36366, 2136, 389, 279, 6859, 11, 5636, 433, 649, 1520, 499, 5208, 627, 1687, 12192, 420, 9650, 8244, 315, 1057, 6859, 28292, 320, 39393, 449, 1057, 13363, 389, 12588, 701, 304, 471, 705, 779, 304, 279, 1162, 568, 64, 111968, 16500, 82, 10917, 5678, 1139, 5652, 323, 9191, 58724, 11, 7344, 433, 753, 1606, 568, 64, 111968, 16500, 82, 4560, 311, 5208, 627, 81655, 315, 279, 892, 4261, 15716, 506, 288, 38330, 8666, 449, 4885, 433, 1436, 1518, 5115, 1344, 16938, 304, 1990, 1124, 627, 1271, 387, 10978, 11, 279, 66264, 374, 2103, 1070, 11, 323, 2225, 8717, 3719, 8208, 430, 3460, 315, 4597, 24639, 627, 4516, 304, 279, 1162, 3131, 499, 19570, 449, 832, 2500, 320, 5562, 499, 10491, 64, 111968, 16500, 265, 7556, 4791, 2225, 8, 1070, 64, 111968, 16500, 82, 912, 4597, 24639, 449, 704, 88342, 11, 779, 1070, 1511, 311, 387, 64, 111968, 65721, 430, 64, 111968, 16500, 82, 264, 6908, 1879, 568, 64, 111968, 16500, 82, 76722, 323, 3794, 4028, 279, 15664, 627, 26840, 3821, 704, 369, 1521, 15785, 1461, 477, 1077, 374, 3794, 927, 499, 264, 111968, 2118, 304, 1162, 499, 1440, 1148, 34824, 568, 64, 111968, 16500, 82, 45296, 64, 111968, 16500, 265, 16926, 17631, 389, 1124, 311, 1505, 279, 1888, 1648, 311, 3719, 701, 1203, 627, 40, 13383, 433, 64, 111968, 16500, 82, 2216, 83372, 477, 26175, 311, 1518, 1521, 323, 1781, 922, 701, 506, 32931, 323, 1694, 1306, 6453, 11552, 13, 13969, 304, 4059, 430, 3582, 568, 2643, 3719, 7366, 4741, 11, 433, 649, 3458, 111968, 16500, 83, 4284, 459, 3927, 1541, 64, 111968, 16500, 83, 636, 279, 6776, 311, 2586, 1461, 477, 1077, 7833, 1203, 11, 323, 1524, 810, 23659, 25, 279, 810, 5107, 568, 64, 111968, 16500, 82, 3411, 311, 733, 389, 505, 701, 1866, 15507, 11, 279, 1790, 810, 4461, 433, 2216, 374, 568, 2103, 706, 2466, 19451, 6994, 481, 16853, 4516, 1457, 902, 499, 64, 111968, 16500, 588, 19426, 264, 1790, 2731, 6945, 315, 1148, 5216, 311, 733, 11, 7041, 1148, 422, 499, 6920, 704, 3432, 5380, 8780, 892, 499, 64, 111968, 16500, 265, 1120, 3411, 369, 12195, 430, 568, 64, 111968, 16500, 82, 927, 584, 2574, 2643, 2873, 12266, 264, 111968, 2118, 719, 814, 64, 111968, 16500, 265, 1193, 220, 16, 611, 220, 17, 315, 279, 6671, 627, 13246, 584, 11224, 1603, 11, 433, 64, 111968, 16500, 82, 35977, 922, 279, 49331, 568, 64, 111968, 16500, 82, 3411, 311, 636, 927, 701, 11, 279, 7191, 279, 21958, 568, 374, 2103, 19167, 449, 8670, 627, 6899, 54358, 422, 499, 64, 111968, 16500, 265, 22128, 369, 8450, 430, 568, 64, 111968, 16500, 82, 42386, 505, 459, 3927, 11, 387, 389, 279, 72015, 315, 1521, 3544, 6029, 430, 506, 4869, 13452, 701, 627, 2746, 499, 1397, 279, 13803, 832, 1288, 1935, 264, 1427, 520, 2246, 3485, 11, 358, 64, 111968, 16500, 76, 690, 743, 682, 315, 1124, 3770, 1828, 11, 701, 1633, 1866, 19679, 627, 12805, 810, 11, 1373, 279, 3350, 5352, 422, 499, 10932, 264, 11944, 16540, 315, 1148, 1855, 832, 315, 1521, 56190, 374, 264, 111968, 2118, 323, 1148, 499, 22525, 311, 656, 304, 1855, 315, 1521, 4819, 311, 61319, 813, 11939, 323, 6994, 1461, 2500, 369, 499, 16102, 13, 128001, -100, 20215, 3278, 889, 42839, 6688, 872, 502, 40260, 26419, 709, 369, 25375, 304, 220, 6393, 20, 11, 5895, 422, 279, 220, 20, 4771, 2362, 49748, 315, 264, 11277, 10121, 11, 7086, 304, 279, 2254, 32594, 11, 374, 872, 1317, 39130, 91244, 4538, 627, 32, 2678, 6424, 17222, 1543, 596, 8990, 1139, 264, 2254, 2363, 648, 5784, 10800, 709, 264, 3566, 315, 17057, 9977, 627, 8161, 956, 11913, 1521, 7724, 3156, 499, 1440, 872, 14853, 53179, 627, 26368, 21254, 258, 25, 510, 10438, 9564, 369, 279, 6411, 60, 2684, 596, 4423, 775, 627, 86383, 63140, 273, 18714, 1105, 35674, 25, 35272, 775, 5380, 26368, 21254, 258, 25, 6984, 2162, 13, 13538, 358, 2322, 499, 13, 358, 1131, 358, 649, 956, 10894, 1077, 13, 358, 6818, 311, 719, 358, 649, 956, 627, 26368, 21254, 258, 25, 3234, 499, 2216, 3021, 1077, 5380, 26368, 21254, 258, 25, 1226, 4024, 311, 2978, 3871, 13, 1226, 3077, 3967, 1855, 1023, 2533, 584, 1051, 6980, 13, 31033, 11, 358, 649, 956, 1524, 10552, 433, 311, 7182, 13, 2052, 358, 649, 2610, 374, 4587, 44491, 757, 1131, 25961, 2555, 13, 25961, 47555, 311, 757, 13, 25672, 757, 499, 3987, 358, 636, 7577, 13, 2030, 1541, 956, 1120, 2559, 1070, 3411, 520, 757, 627, 20215, 3278, 3477, 872, 3347, 6439, 1418, 814, 3868, 369, 3754, 430, 690, 2349, 279, 3938, 12756, 369, 832, 315, 1124, 627, 4071, 433, 4536, 956, 330, 35364, 311, 14853, 468, 1924, 1, 4999, 99004, 16038, 279, 21648, 1752, 1005, 315, 279, 15150, 505, 386, 1201, 572, 53322, 6, 7491, 1816, 11, 330, 20215, 53179, 1, 374, 459, 32180, 11, 1664, 67383, 20156, 13, 13596, 38723, 311, 39813, 14853, 468, 1924, 498, 323, 832, 430, 358, 617, 912, 46655, 311, 11, 374, 11767, 55034, 66549, 11, 90530, 29306, 612, 42893, 13041, 1694, 15196, 11, 9193, 19411, 3278, 26, 539, 264, 9562, 85407, 18994, 477, 308, 1631, 22718, 304, 14254, 627, 32, 2132, 5818, 430, 3782, 311, 4059, 1418, 10307, 330, 20215, 53179, 1, 574, 330, 791, 6295, 78844, 1, 449, 1202, 3772, 68124, 315, 70779, 19578, 18702, 323, 71701, 264, 21426, 13, 4452, 13944, 261, 596, 4632, 8272, 420, 832, 627, 791, 6366, 24298, 39037, 26306, 1595, 40, 636, 264, 10536, 704, 315, 499, 6, 374, 1664, 1511, 389, 279, 45999, 13, 128001, -100, 1688, 279, 6332, 315, 445, 529, 2244, 63497, 753, 11376, 374, 279, 4443, 2065, 315, 13444, 304, 2015, 311, 2686, 279, 18651, 315, 279, 9193, 17226, 22673, 13, 1115, 3137, 690, 5357, 389, 279, 10648, 315, 5780, 6975, 304, 57088, 8903, 8522, 323, 8599, 7766, 430, 2187, 603, 539, 1193, 311, 81938, 1057, 1620, 13444, 3956, 719, 1101, 279, 1217, 3217, 13, 13257, 6975, 706, 264, 19091, 3560, 304, 1057, 9256, 1555, 279, 40761, 315, 279, 6908, 3392, 315, 2561, 828, 323, 279, 3293, 31003, 304, 6500, 11376, 430, 9087, 279, 49179, 315, 57088, 8903, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97 ]
[ 128000, 51158, 38916, 14496, 871, 29879, 7747, 4147, 871, 28049, 31974, 1628, 23508, 627, 38286, 31974, 1628, 23508, 627, 1360, 716, 6930, 12659, 649, 1427, 1306, 7626, 11, 11113, 11, 323, 5222, 6930, 13, 763, 5230, 35768, 11, 4869, 11, 892, 323, 7160, 68568, 5199, 5674, 389, 279, 6930, 753, 11341, 13, 75622, 6930, 4819, 323, 6930, 4819, 389, 2204, 39543, 315, 279, 2547, 649, 3621, 389, 2759, 315, 4325, 11, 17219, 311, 50953, 6956, 11, 323, 264, 3544, 1912, 315, 2204, 7482, 13, 4427, 5912, 6930, 17190, 25384, 527, 279, 1306, 27153, 315, 1077, 95454, 29600, 11, 30020, 11, 323, 2204, 11384, 13, 1628, 1070, 374, 4400, 810, 85077, 430, 6930, 323, 28900, 6930, 3575, 13, 5810, 527, 2478, 5435, 323, 10105, 311, 1884, 5435, 12090, 555, 61485, 22012, 627, 75046, 90600, 32199, 1389, 33832, 90600, 32199, 682, 29246, 311, 87580, 819, 29760, 430, 1501, 709, 439, 499, 4325, 477, 1606, 315, 6930, 1464, 704, 13, 362, 61485, 16549, 649, 7946, 90089, 477, 76970, 279, 9546, 315, 4325, 19300, 389, 279, 6930, 555, 279, 1005, 315, 279, 1888, 602, 501, 12933, 814, 617, 13, 578, 3044, 649, 387, 79849, 3060, 7160, 11682, 477, 1077, 95454, 29600, 13, 33832, 90600, 32199, 527, 1521, 6453, 29760, 430, 1427, 1093, 16781, 19300, 323, 8965, 1501, 709, 389, 279, 3663, 11, 13272, 11, 6206, 11, 7693, 477, 14535, 13, 10541, 1070, 706, 539, 1027, 904, 11682, 9057, 555, 33832, 90600, 32199, 499, 649, 636, 9463, 315, 1124, 555, 17136, 264, 61485, 16549, 627, 31192, 22464, 1389, 8219, 22464, 374, 9057, 1306, 14247, 14675, 311, 28856, 7160, 45220, 13, 10541, 420, 1253, 539, 387, 439, 4279, 4245, 311, 279, 77678, 2663, 68012, 258, 11, 264, 14198, 77678, 430, 36236, 279, 6930, 505, 279, 28856, 7160, 45220, 11, 264, 1732, 449, 3428, 68012, 258, 1253, 617, 264, 3958, 8395, 902, 12716, 704, 1529, 9487, 304, 279, 12688, 13, 51898, 649, 11626, 555, 1860, 1349, 81898, 1093, 1938, 555, 1938, 83184, 11, 37199, 11, 323, 19079, 11, 1524, 304, 279, 12688, 13, 763, 904, 1162, 11, 994, 433, 753, 3347, 279, 1486, 315, 912, 471, 369, 1860, 1349, 323, 499, 1397, 264, 26222, 6425, 369, 57770, 4954, 7160, 22464, 11, 733, 1306, 28170, 469, 13, 1442, 7000, 315, 430, 4375, 499, 649, 3780, 77355, 12933, 369, 6412, 8494, 323, 1005, 1124, 477, 4034, 264, 61485, 16549, 369, 22866, 11217, 627, 3407, 1590, 1389, 10926, 264, 35507, 4498, 304, 20587, 706, 2163, 499, 449, 264, 3544, 23087, 389, 701, 52354, 13, 362, 23087, 374, 264, 5654, 315, 6930, 430, 374, 264, 28601, 40130, 1109, 499, 6930, 4245, 311, 459, 11134, 27661, 13, 1708, 20582, 1455, 61699, 29613, 1306, 1063, 892, 11, 3738, 21522, 323, 1884, 430, 3621, 304, 11388, 481, 26467, 1253, 4822, 8196, 369, 264, 19569, 13, 2522, 1590, 527, 2800, 63465, 6930, 4819, 430, 1541, 1431, 1397, 58041, 6514, 11, 4869, 872, 4367, 649, 14429, 13, 30760, 31010, 15987, 505, 264, 2800, 63465, 61485, 16549, 649, 1520, 76970, 279, 9546, 315, 61699, 48863, 13, 10541, 539, 1690, 1274, 1053, 387, 46376, 449, 264, 23087, 389, 872, 3663, 477, 2547, 11, 433, 374, 6220, 311, 2019, 430, 433, 11141, 1063, 3927, 8430, 33394, 477, 9193, 17371, 2212, 1274, 13, 7811, 5977, 61485, 16549, 1053, 387, 279, 1888, 10105, 369, 1884, 889, 2216, 1390, 311, 636, 9463, 315, 279, 23087, 13, 128001, 128000, 4126, 25, 5475, 706, 1027, 28101, 13, 1666, 1690, 690, 617, 14000, 11, 33538, 323, 72534, 527, 70422, 439, 315, 2212, 220, 1419, 25, 1774, 28503, 13806, 220, 717, 11, 1120, 927, 459, 6596, 4972, 311, 420, 1772, 13, 578, 2944, 5084, 311, 387, 5044, 4819, 449, 279, 3622, 13, 19173, 584, 527, 12153, 311, 5662, 279, 3622, 311, 2686, 420, 13, 1226, 617, 8813, 9522, 5028, 11289, 374, 709, 323, 4401, 1578, 28191, 11, 719, 1193, 369, 1063, 6913, 7649, 311, 6106, 2574, 527, 3318, 1306, 279, 12172, 13, 25640, 527, 10788, 311, 95807, 1923, 349, 323, 1514, 719, 1288, 387, 8010, 279, 3622, 649, 733, 709, 323, 1523, 520, 904, 1486, 13, 3277, 584, 2351, 20097, 449, 279, 7649, 11, 4461, 304, 264, 1938, 477, 1403, 11, 279, 12515, 128001, 128000, 50, 1494, 5169, 2468, 1985, 367, 8471, 374, 832, 315, 279, 83407, 304, 279, 2115, 315, 16125, 1651, 65078, 11, 8405, 15062, 323, 11297, 39571, 4618, 10105, 369, 1690, 11026, 13, 1226, 3493, 682, 13124, 315, 16627, 323, 2536, 12, 25802, 1697, 16125, 1651, 65078, 3600, 627, 1687, 3085, 1057, 3600, 311, 5961, 1778, 439, 279, 3723, 10989, 49801, 320, 52, 13983, 705, 82225, 11, 43018, 11, 57111, 11, 323, 66739, 612, 18387, 23931, 320, 42, 7934, 8, 505, 5370, 26280, 304, 6890, 11, 6560, 11, 7427, 11, 47949, 11, 8494, 11, 7008, 11, 8494, 11, 26363, 11, 1561, 17340, 11, 14990, 11, 4987, 10384, 11, 323, 1023, 5961, 627, 1687, 2646, 3775, 311, 3041, 54711, 12939, 311, 1057, 3016, 596, 3966, 323, 24617, 13, 5751, 19310, 907, 87442, 3600, 323, 3728, 4009, 315, 8717, 3041, 603, 459, 6964, 927, 1057, 28650, 627, 28242, 505, 1615, 24031, 315, 18387, 11, 82225, 11, 43018, 11, 5099, 627, 13857, 7388, 679, 23, 12, 777, 89078, 35138, 8471, 8351, 13, 60720, 555, 452, 6256, 4476, 13, 2052, 10734, 15516, 13, 128001, 128000, 2409, 264, 64062, 2683, 3157, 11, 279, 1396, 315, 23234, 10209, 4967, 374, 7982, 13, 578, 21021, 369, 23362, 73808, 323, 11050, 1766, 430, 220, 2287, 3346, 315, 7487, 4036, 4967, 927, 279, 3347, 1060, 17223, 279, 3428, 26690, 4478, 315, 220, 18, 13, 22, 3346, 374, 264, 2466, 961, 315, 430, 13, 578, 11005, 39259, 706, 29746, 5220, 311, 312, 17869, 311, 4967, 11, 449, 1063, 81625, 8420, 690, 387, 326, 3149, 3201, 555, 28650, 627, 4071, 539, 682, 4967, 374, 3604, 24629, 11, 449, 1063, 23234, 21760, 389, 1054, 83, 73048, 5300, 11, 7701, 51114, 9256, 2029, 12361, 11, 5220, 1288, 11415, 8579, 7512, 11, 1778, 439, 28697, 11, 14604, 11478, 11, 28899, 11, 323, 41328, 627, 17526, 89617, 11054, 4279, 21294, 5220, 3629, 1304, 304, 872, 4967, 7620, 323, 13533, 1268, 311, 5766, 1124, 13, 35198, 2094, 649, 1054, 451, 1474, 354, 736, 5687, 11, 743, 8420, 709, 369, 8060, 11, 323, 1524, 2231, 1124, 520, 5326, 2476, 323, 994, 264, 43940, 374, 83075, 14373, 11, 23234, 649, 1431, 10150, 311, 9229, 872, 8420, 311, 5220, 430, 636, 4967, 1314, 627, 2688, 14392, 701, 10877, 477, 872, 3966, 1389, 21445, 388, 1205, 311, 9020, 311, 1148, 3169, 315, 6975, 374, 1455, 15525, 311, 872, 8420, 323, 6106, 4967, 20628, 872, 3966, 627, 2688, 4967, 369, 3230, 20124, 1389, 11995, 53243, 323, 17028, 3046, 1205, 311, 387, 8010, 315, 279, 16945, 323, 904, 2867, 7504, 814, 1205, 311, 1935, 627, 2688, 3403, 5419, 1988, 1389, 98173, 304, 4994, 19248, 311, 1520, 449, 4967, 649, 387, 24629, 11, 719, 11909, 2949, 279, 2883, 1101, 617, 15525, 26793, 311, 4430, 627, 2688, 4737, 892, 311, 8720, 1389, 76198, 1113, 2317, 323, 41961, 315, 4967, 7620, 1603, 28818, 374, 1401, 311, 3339, 2771, 4967, 28421, 279, 1314, 20124, 13, 1628, 433, 753, 3062, 311, 636, 11302, 505, 8420, 2391, 323, 1306, 4967, 2345, 3473, 1935, 430, 11302, 323, 3881, 433, 311, 279, 1828, 4883, 627, 66875, 1113, 4967, 1093, 264, 832, 9976, 95388, 1389, 16543, 3966, 311, 387, 14529, 11, 323, 19815, 6975, 323, 4500, 10708, 1288, 3719, 264, 6332, 961, 315, 279, 2883, 7829, 13, 3011, 1648, 11, 1274, 323, 9873, 3139, 3871, 627, 128001, 128000, 34160, 311, 38074, 777, 279, 12873, 21501, 37212, 74251, 1990, 4311, 11, 264, 28530, 14135, 13, 42536, 11, 1070, 753, 1561, 72116, 10320, 88364, 292, 9785, 627, 4516, 584, 1903, 264, 3568, 449, 279, 12873, 25, 584, 4335, 279, 54151, 11, 814, 42228, 279, 9120, 627, 4438, 72116, 45433, 459, 12873, 14135, 13, 128001, 128000, 2675, 4762, 1518, 20229, 16706, 555, 389, 264, 7446, 8197, 11, 719, 617, 499, 3596, 3463, 922, 1268, 814, 656, 433, 30, 54504, 1274, 304, 6931, 22540, 1550, 13, 13538, 279, 24511, 315, 44922, 1109, 3805, 11213, 1051, 10839, 704, 11, 1057, 38618, 80647, 2212, 449, 264, 1396, 315, 12224, 20611, 6155, 2756, 919, 13, 4314, 682, 4745, 1606, 279, 17383, 315, 12224, 11213, 374, 3604, 1790, 810, 17395, 1109, 5606, 7020, 1203, 1243, 13, 578, 13674, 4101, 4487, 5408, 7357, 6187, 15100, 3249, 430, 374, 627, 791, 1176, 3245, 311, 1440, 374, 430, 20229, 527, 539, 16706, 555, 5042, 17919, 3805, 45578, 13, 578, 17383, 520, 990, 374, 3604, 1790, 810, 53007, 311, 264, 8521, 29480, 14467, 11, 719, 279, 1648, 264, 1344, 3713, 20611, 5334, 1070, 374, 1633, 2204, 13, 2052, 16706, 20229, 617, 1317, 11213, 56994, 3235, 279, 6964, 315, 279, 20611, 13, 1952, 1855, 1523, 12943, 11, 279, 56994, 28347, 779, 814, 682, 4585, 3871, 13, 1952, 279, 1203, 29341, 11, 279, 56994, 9041, 704, 11, 20806, 3805, 1522, 1555, 1124, 311, 8108, 13957, 627, 2028, 1403, 1957, 1887, 26420, 430, 279, 5190, 7410, 27656, 1405, 433, 753, 10171, 311, 2001, 389, 279, 96321, 315, 279, 20611, 13, 1115, 6835, 279, 12224, 40872, 12157, 539, 20426, 459, 44024, 11, 719, 433, 8741, 1555, 7106, 7351, 13, 24214, 27296, 527, 16168, 15718, 1093, 264, 832, 27896, 1817, 32530, 389, 1855, 323, 1475, 12943, 627, 59389, 11633, 2835, 5039, 1120, 1268, 11297, 12224, 11213, 649, 387, 13, 578, 3428, 7410, 1887, 389, 1948, 315, 279, 20611, 374, 3831, 3403, 311, 12157, 709, 9333, 56994, 5209, 77303, 13, 1115, 374, 264, 7701, 48232, 1887, 430, 649, 2187, 20229, 311, 11857, 20611, 6211, 311, 86141, 323, 45214, 304, 264, 8205, 315, 5627, 13, 4427, 20229, 649, 1524, 20118, 304, 264, 1648, 25761, 649, 1431, 13, 1102, 8434, 1431, 387, 15325, 311, 1456, 311, 46113, 420, 1887, 369, 2536, 1481, 41314, 11213, 13, 128001, 128000, 27, 876, 1284, 1590, 29, 1041, 12, 1041, 15, 198, 2, 8618, 279, 3475, 2232, 6217, 198, 1527, 662, 93704, 3982, 1438, 1179, 353, 220, 674, 5782, 48622, 198, 128001 ]
[ -100, 51158, 38916, 14496, 871, 29879, 7747, 4147, 871, 28049, 31974, 1628, 23508, 627, 38286, 31974, 1628, 23508, 627, 1360, 716, 6930, 12659, 649, 1427, 1306, 7626, 11, 11113, 11, 323, 5222, 6930, 13, 763, 5230, 35768, 11, 4869, 11, 892, 323, 7160, 68568, 5199, 5674, 389, 279, 6930, 753, 11341, 13, 75622, 6930, 4819, 323, 6930, 4819, 389, 2204, 39543, 315, 279, 2547, 649, 3621, 389, 2759, 315, 4325, 11, 17219, 311, 50953, 6956, 11, 323, 264, 3544, 1912, 315, 2204, 7482, 13, 4427, 5912, 6930, 17190, 25384, 527, 279, 1306, 27153, 315, 1077, 95454, 29600, 11, 30020, 11, 323, 2204, 11384, 13, 1628, 1070, 374, 4400, 810, 85077, 430, 6930, 323, 28900, 6930, 3575, 13, 5810, 527, 2478, 5435, 323, 10105, 311, 1884, 5435, 12090, 555, 61485, 22012, 627, 75046, 90600, 32199, 1389, 33832, 90600, 32199, 682, 29246, 311, 87580, 819, 29760, 430, 1501, 709, 439, 499, 4325, 477, 1606, 315, 6930, 1464, 704, 13, 362, 61485, 16549, 649, 7946, 90089, 477, 76970, 279, 9546, 315, 4325, 19300, 389, 279, 6930, 555, 279, 1005, 315, 279, 1888, 602, 501, 12933, 814, 617, 13, 578, 3044, 649, 387, 79849, 3060, 7160, 11682, 477, 1077, 95454, 29600, 13, 33832, 90600, 32199, 527, 1521, 6453, 29760, 430, 1427, 1093, 16781, 19300, 323, 8965, 1501, 709, 389, 279, 3663, 11, 13272, 11, 6206, 11, 7693, 477, 14535, 13, 10541, 1070, 706, 539, 1027, 904, 11682, 9057, 555, 33832, 90600, 32199, 499, 649, 636, 9463, 315, 1124, 555, 17136, 264, 61485, 16549, 627, 31192, 22464, 1389, 8219, 22464, 374, 9057, 1306, 14247, 14675, 311, 28856, 7160, 45220, 13, 10541, 420, 1253, 539, 387, 439, 4279, 4245, 311, 279, 77678, 2663, 68012, 258, 11, 264, 14198, 77678, 430, 36236, 279, 6930, 505, 279, 28856, 7160, 45220, 11, 264, 1732, 449, 3428, 68012, 258, 1253, 617, 264, 3958, 8395, 902, 12716, 704, 1529, 9487, 304, 279, 12688, 13, 51898, 649, 11626, 555, 1860, 1349, 81898, 1093, 1938, 555, 1938, 83184, 11, 37199, 11, 323, 19079, 11, 1524, 304, 279, 12688, 13, 763, 904, 1162, 11, 994, 433, 753, 3347, 279, 1486, 315, 912, 471, 369, 1860, 1349, 323, 499, 1397, 264, 26222, 6425, 369, 57770, 4954, 7160, 22464, 11, 733, 1306, 28170, 469, 13, 1442, 7000, 315, 430, 4375, 499, 649, 3780, 77355, 12933, 369, 6412, 8494, 323, 1005, 1124, 477, 4034, 264, 61485, 16549, 369, 22866, 11217, 627, 3407, 1590, 1389, 10926, 264, 35507, 4498, 304, 20587, 706, 2163, 499, 449, 264, 3544, 23087, 389, 701, 52354, 13, 362, 23087, 374, 264, 5654, 315, 6930, 430, 374, 264, 28601, 40130, 1109, 499, 6930, 4245, 311, 459, 11134, 27661, 13, 1708, 20582, 1455, 61699, 29613, 1306, 1063, 892, 11, 3738, 21522, 323, 1884, 430, 3621, 304, 11388, 481, 26467, 1253, 4822, 8196, 369, 264, 19569, 13, 2522, 1590, 527, 2800, 63465, 6930, 4819, 430, 1541, 1431, 1397, 58041, 6514, 11, 4869, 872, 4367, 649, 14429, 13, 30760, 31010, 15987, 505, 264, 2800, 63465, 61485, 16549, 649, 1520, 76970, 279, 9546, 315, 61699, 48863, 13, 10541, 539, 1690, 1274, 1053, 387, 46376, 449, 264, 23087, 389, 872, 3663, 477, 2547, 11, 433, 374, 6220, 311, 2019, 430, 433, 11141, 1063, 3927, 8430, 33394, 477, 9193, 17371, 2212, 1274, 13, 7811, 5977, 61485, 16549, 1053, 387, 279, 1888, 10105, 369, 1884, 889, 2216, 1390, 311, 636, 9463, 315, 279, 23087, 13, 128001, -100, 4126, 25, 5475, 706, 1027, 28101, 13, 1666, 1690, 690, 617, 14000, 11, 33538, 323, 72534, 527, 70422, 439, 315, 2212, 220, 1419, 25, 1774, 28503, 13806, 220, 717, 11, 1120, 927, 459, 6596, 4972, 311, 420, 1772, 13, 578, 2944, 5084, 311, 387, 5044, 4819, 449, 279, 3622, 13, 19173, 584, 527, 12153, 311, 5662, 279, 3622, 311, 2686, 420, 13, 1226, 617, 8813, 9522, 5028, 11289, 374, 709, 323, 4401, 1578, 28191, 11, 719, 1193, 369, 1063, 6913, 7649, 311, 6106, 2574, 527, 3318, 1306, 279, 12172, 13, 25640, 527, 10788, 311, 95807, 1923, 349, 323, 1514, 719, 1288, 387, 8010, 279, 3622, 649, 733, 709, 323, 1523, 520, 904, 1486, 13, 3277, 584, 2351, 20097, 449, 279, 7649, 11, 4461, 304, 264, 1938, 477, 1403, 11, 279, 12515, 128001, -100, 50, 1494, 5169, 2468, 1985, 367, 8471, 374, 832, 315, 279, 83407, 304, 279, 2115, 315, 16125, 1651, 65078, 11, 8405, 15062, 323, 11297, 39571, 4618, 10105, 369, 1690, 11026, 13, 1226, 3493, 682, 13124, 315, 16627, 323, 2536, 12, 25802, 1697, 16125, 1651, 65078, 3600, 627, 1687, 3085, 1057, 3600, 311, 5961, 1778, 439, 279, 3723, 10989, 49801, 320, 52, 13983, 705, 82225, 11, 43018, 11, 57111, 11, 323, 66739, 612, 18387, 23931, 320, 42, 7934, 8, 505, 5370, 26280, 304, 6890, 11, 6560, 11, 7427, 11, 47949, 11, 8494, 11, 7008, 11, 8494, 11, 26363, 11, 1561, 17340, 11, 14990, 11, 4987, 10384, 11, 323, 1023, 5961, 627, 1687, 2646, 3775, 311, 3041, 54711, 12939, 311, 1057, 3016, 596, 3966, 323, 24617, 13, 5751, 19310, 907, 87442, 3600, 323, 3728, 4009, 315, 8717, 3041, 603, 459, 6964, 927, 1057, 28650, 627, 28242, 505, 1615, 24031, 315, 18387, 11, 82225, 11, 43018, 11, 5099, 627, 13857, 7388, 679, 23, 12, 777, 89078, 35138, 8471, 8351, 13, 60720, 555, 452, 6256, 4476, 13, 2052, 10734, 15516, 13, 128001, -100, 2409, 264, 64062, 2683, 3157, 11, 279, 1396, 315, 23234, 10209, 4967, 374, 7982, 13, 578, 21021, 369, 23362, 73808, 323, 11050, 1766, 430, 220, 2287, 3346, 315, 7487, 4036, 4967, 927, 279, 3347, 1060, 17223, 279, 3428, 26690, 4478, 315, 220, 18, 13, 22, 3346, 374, 264, 2466, 961, 315, 430, 13, 578, 11005, 39259, 706, 29746, 5220, 311, 312, 17869, 311, 4967, 11, 449, 1063, 81625, 8420, 690, 387, 326, 3149, 3201, 555, 28650, 627, 4071, 539, 682, 4967, 374, 3604, 24629, 11, 449, 1063, 23234, 21760, 389, 1054, 83, 73048, 5300, 11, 7701, 51114, 9256, 2029, 12361, 11, 5220, 1288, 11415, 8579, 7512, 11, 1778, 439, 28697, 11, 14604, 11478, 11, 28899, 11, 323, 41328, 627, 17526, 89617, 11054, 4279, 21294, 5220, 3629, 1304, 304, 872, 4967, 7620, 323, 13533, 1268, 311, 5766, 1124, 13, 35198, 2094, 649, 1054, 451, 1474, 354, 736, 5687, 11, 743, 8420, 709, 369, 8060, 11, 323, 1524, 2231, 1124, 520, 5326, 2476, 323, 994, 264, 43940, 374, 83075, 14373, 11, 23234, 649, 1431, 10150, 311, 9229, 872, 8420, 311, 5220, 430, 636, 4967, 1314, 627, 2688, 14392, 701, 10877, 477, 872, 3966, 1389, 21445, 388, 1205, 311, 9020, 311, 1148, 3169, 315, 6975, 374, 1455, 15525, 311, 872, 8420, 323, 6106, 4967, 20628, 872, 3966, 627, 2688, 4967, 369, 3230, 20124, 1389, 11995, 53243, 323, 17028, 3046, 1205, 311, 387, 8010, 315, 279, 16945, 323, 904, 2867, 7504, 814, 1205, 311, 1935, 627, 2688, 3403, 5419, 1988, 1389, 98173, 304, 4994, 19248, 311, 1520, 449, 4967, 649, 387, 24629, 11, 719, 11909, 2949, 279, 2883, 1101, 617, 15525, 26793, 311, 4430, 627, 2688, 4737, 892, 311, 8720, 1389, 76198, 1113, 2317, 323, 41961, 315, 4967, 7620, 1603, 28818, 374, 1401, 311, 3339, 2771, 4967, 28421, 279, 1314, 20124, 13, 1628, 433, 753, 3062, 311, 636, 11302, 505, 8420, 2391, 323, 1306, 4967, 2345, 3473, 1935, 430, 11302, 323, 3881, 433, 311, 279, 1828, 4883, 627, 66875, 1113, 4967, 1093, 264, 832, 9976, 95388, 1389, 16543, 3966, 311, 387, 14529, 11, 323, 19815, 6975, 323, 4500, 10708, 1288, 3719, 264, 6332, 961, 315, 279, 2883, 7829, 13, 3011, 1648, 11, 1274, 323, 9873, 3139, 3871, 627, 128001, -100, 34160, 311, 38074, 777, 279, 12873, 21501, 37212, 74251, 1990, 4311, 11, 264, 28530, 14135, 13, 42536, 11, 1070, 753, 1561, 72116, 10320, 88364, 292, 9785, 627, 4516, 584, 1903, 264, 3568, 449, 279, 12873, 25, 584, 4335, 279, 54151, 11, 814, 42228, 279, 9120, 627, 4438, 72116, 45433, 459, 12873, 14135, 13, 128001, -100, 2675, 4762, 1518, 20229, 16706, 555, 389, 264, 7446, 8197, 11, 719, 617, 499, 3596, 3463, 922, 1268, 814, 656, 433, 30, 54504, 1274, 304, 6931, 22540, 1550, 13, 13538, 279, 24511, 315, 44922, 1109, 3805, 11213, 1051, 10839, 704, 11, 1057, 38618, 80647, 2212, 449, 264, 1396, 315, 12224, 20611, 6155, 2756, 919, 13, 4314, 682, 4745, 1606, 279, 17383, 315, 12224, 11213, 374, 3604, 1790, 810, 17395, 1109, 5606, 7020, 1203, 1243, 13, 578, 13674, 4101, 4487, 5408, 7357, 6187, 15100, 3249, 430, 374, 627, 791, 1176, 3245, 311, 1440, 374, 430, 20229, 527, 539, 16706, 555, 5042, 17919, 3805, 45578, 13, 578, 17383, 520, 990, 374, 3604, 1790, 810, 53007, 311, 264, 8521, 29480, 14467, 11, 719, 279, 1648, 264, 1344, 3713, 20611, 5334, 1070, 374, 1633, 2204, 13, 2052, 16706, 20229, 617, 1317, 11213, 56994, 3235, 279, 6964, 315, 279, 20611, 13, 1952, 1855, 1523, 12943, 11, 279, 56994, 28347, 779, 814, 682, 4585, 3871, 13, 1952, 279, 1203, 29341, 11, 279, 56994, 9041, 704, 11, 20806, 3805, 1522, 1555, 1124, 311, 8108, 13957, 627, 2028, 1403, 1957, 1887, 26420, 430, 279, 5190, 7410, 27656, 1405, 433, 753, 10171, 311, 2001, 389, 279, 96321, 315, 279, 20611, 13, 1115, 6835, 279, 12224, 40872, 12157, 539, 20426, 459, 44024, 11, 719, 433, 8741, 1555, 7106, 7351, 13, 24214, 27296, 527, 16168, 15718, 1093, 264, 832, 27896, 1817, 32530, 389, 1855, 323, 1475, 12943, 627, 59389, 11633, 2835, 5039, 1120, 1268, 11297, 12224, 11213, 649, 387, 13, 578, 3428, 7410, 1887, 389, 1948, 315, 279, 20611, 374, 3831, 3403, 311, 12157, 709, 9333, 56994, 5209, 77303, 13, 1115, 374, 264, 7701, 48232, 1887, 430, 649, 2187, 20229, 311, 11857, 20611, 6211, 311, 86141, 323, 45214, 304, 264, 8205, 315, 5627, 13, 4427, 20229, 649, 1524, 20118, 304, 264, 1648, 25761, 649, 1431, 13, 1102, 8434, 1431, 387, 15325, 311, 1456, 311, 46113, 420, 1887, 369, 2536, 1481, 41314, 11213, 13, 128001, -100, 27, 876, 1284, 1590, 29, 1041, 12, 1041, 15, 198, 2, 8618, 279, 3475, 2232, 6217, 198, 1527, 662, 93704, 3982, 1438, 1179, 353, 220, 674, 5782, 48622, 198, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ]
[ 128000, 47, 5059, 519, 3815, 1664, 1306, 43929, 198, 1383, 85252, 36880, 265, 198, 33, 91211, 5513, 198, 13622, 1274, 3287, 1431, 1524, 1440, 24298, 13279, 9552, 753, 1283, 411, 393, 5059, 519, 574, 14363, 11, 568, 2795, 13, 2582, 520, 3325, 814, 3287, 1431, 1781, 568, 7111, 14363, 11, 3411, 1203, 389, 813, 3044, 1203, 304, 279, 4498, 315, 220, 679, 17, 11, 1314, 1603, 568, 1047, 264, 2324, 59085, 39042, 43929, 1389, 264, 8352, 505, 813, 4538, 11, 23278, 627, 1548, 411, 5828, 1431, 1524, 2216, 8430, 14363, 11, 568, 2795, 13, 2030, 568, 574, 39019, 1455, 315, 279, 1938, 13, 3011, 753, 1148, 8741, 994, 832, 706, 1193, 220, 23, 13, 20, 3346, 31301, 315, 832, 753, 81960, 13, 3011, 753, 264, 2860, 315, 220, 23, 13, 20, 3346, 1990, 279, 1403, 315, 1124, 627, 2181, 753, 264, 3044, 568, 574, 9405, 449, 11, 2795, 1283, 411, 1389, 63915, 93262, 26, 8051, 568, 3287, 1431, 1440, 922, 433, 3156, 568, 574, 304, 813, 220, 508, 82, 13, 1442, 813, 3070, 1047, 3967, 922, 433, 994, 568, 574, 9405, 11, 568, 1436, 617, 1047, 15173, 311, 61705, 279, 3575, 13, 1666, 433, 574, 11, 449, 19093, 14392, 3156, 568, 574, 304, 813, 220, 508, 82, 11, 15173, 5828, 1431, 264, 31528, 10778, 13, 1283, 1053, 1120, 617, 311, 3974, 449, 279, 3044, 430, 1053, 39436, 349, 813, 81960, 3156, 568, 1053, 9778, 617, 311, 22541, 311, 28960, 4548, 477, 264, 43929, 627, 73055, 369, 1283, 411, 323, 813, 7555, 78823, 11, 1283, 411, 753, 4538, 23278, 6656, 704, 311, 387, 264, 4832, 2489, 369, 264, 39042, 13, 128001, 128000, 4599, 430, 282, 21508, 6693, 4131, 430, 701, 1841, 912, 5129, 938, 1590, 311, 2324, 449, 264, 4062, 27744, 315, 279, 1401, 11, 719, 4856, 10707, 598, 1202, 85334, 4058, 520, 279, 12703, 1614, 315, 701, 12141, 753, 20314, 1887, 11, 701, 3388, 374, 2867, 25, 499, 1205, 264, 502, 11863, 13, 13440, 499, 656, 433, 6261, 477, 1389, 83217, 279, 3463, 1389, 8961, 704, 279, 2683, 311, 4423, 775, 11, 279, 842, 1121, 374, 279, 1890, 13, 1472, 636, 264, 76835, 502, 3063, 38698, 307, 11863, 11, 323, 279, 2362, 832, 374, 41759, 291, 3201, 311, 387, 5015, 709, 323, 6656, 1139, 264, 502, 11863, 304, 264, 7154, 4832, 8036, 6471, 1887, 627, 42537, 561, 420, 311, 1148, 8741, 311, 279, 11863, 304, 701, 21288, 994, 433, 5616, 6835, 709, 279, 20457, 13, 4427, 315, 603, 690, 2477, 279, 3854, 1825, 11, 1505, 279, 4461, 832, 3958, 2849, 11, 323, 3060, 5155, 279, 3854, 477, 2109, 30349, 279, 1695, 7917, 13, 2030, 1455, 5710, 57907, 6108, 11863, 31406, 527, 12504, 304, 279, 5912, 23701, 11, 477, 9277, 304, 6437, 34978, 29618, 449, 279, 1888, 315, 34334, 719, 8965, 842, 709, 304, 279, 85634, 13971, 627, 10445, 279, 6811, 1990, 3063, 323, 57907, 27360, 30, 3639, 922, 1521, 1403, 23490, 4528, 14645, 80330, 3249, 832, 11863, 649, 617, 220, 3264, 4, 315, 1202, 3769, 47658, 11, 1418, 279, 1023, 374, 23917, 311, 1120, 26251, 30, 1628, 1148, 527, 279, 25127, 1523, 279, 5754, 11, 994, 11863, 31406, 505, 9249, 11731, 1212, 311, 3810, 279, 12571, 4365, 304, 20155, 5380, 1489, 489, 42846, 284, 35300, 198, 71251, 279, 66949, 1990, 3063, 38698, 307, 323, 57907, 80846, 11863, 34978, 90055, 1523, 311, 1403, 3682, 9547, 25, 892, 323, 30903, 13, 1952, 279, 892, 3185, 315, 279, 24524, 11, 2980, 430, 279, 2466, 12143, 88, 11863, 1234, 701, 28314, 374, 5128, 2362, 5557, 13, 30982, 38698, 307, 27360, 617, 1027, 2212, 369, 439, 1317, 439, 9515, 617, 11, 323, 1243, 1063, 13, 1666, 1778, 11, 814, 617, 927, 264, 9478, 753, 2010, 1212, 389, 872, 57907, 3196, 61007, 304, 3878, 315, 14054, 13, 1226, 4070, 1027, 1701, 1521, 2574, 16058, 11, 323, 584, 4070, 2216, 18205, 839, 304, 872, 48608, 6373, 13, 5659, 1589, 72455, 311, 25165, 323, 1203, 311, 1589, 72455, 1578, 11, 3063, 38698, 307, 27360, 8935, 505, 459, 16781, 323, 7701, 18751, 15266, 323, 8141, 1887, 11, 832, 430, 279, 57907, 80846, 5064, 1120, 706, 539, 3686, 1047, 892, 311, 2274, 13, 578, 3063, 38698, 307, 14054, 5900, 779, 3117, 439, 311, 3629, 1005, 279, 4839, 1890, 27861, 430, 6493, 27360, 311, 30282, 369, 279, 471, 8577, 311, 279, 1421, 10993, 627, 1489, 1101, 11335, 1139, 433, 4669, 279, 11295, 48639, 315, 40508, 27360, 13, 578, 5578, 1841, 11863, 40758, 922, 3116, 1667, 11, 3041, 477, 1935, 11, 323, 2533, 279, 5578, 19569, 315, 264, 1841, 374, 1457, 922, 45314, 1667, 11, 1855, 1841, 690, 4461, 1518, 2380, 477, 810, 27360, 927, 1202, 2532, 2324, 13, 1789, 9249, 11731, 323, 97205, 11, 279, 11863, 3854, 374, 6319, 311, 1566, 369, 5128, 1790, 279, 2532, 2324, 315, 279, 7458, 11, 779, 87799, 33788, 430, 3219, 279, 7458, 20037, 2212, 1124, 29948, 11, 57907, 80846, 31406, 527, 1120, 539, 2133, 311, 3810, 1139, 279, 34978, 4365, 7154, 439, 3629, 439, 3063, 38698, 307, 27360, 656, 13, 1115, 374, 14738, 4277, 660, 555, 279, 1396, 315, 57907, 80846, 11863, 31406, 505, 11761, 3956, 1093, 48985, 323, 2410, 7526, 26, 1884, 3810, 279, 12571, 4365, 3117, 10819, 1109, 57907, 80846, 27360, 505, 9249, 323, 26038, 11731, 13, 2030, 1884, 5219, 527, 264, 52662, 1493, 304, 279, 24524, 7863, 311, 279, 1396, 315, 3063, 38698, 307, 27360, 47658, 1475, 1938, 627, 2170, 369, 30903, 11, 279, 35388, 279, 6651, 315, 7384, 304, 459, 1665, 11, 279, 8831, 433, 374, 311, 61843, 13, 46953, 43732, 11, 902, 527, 1120, 25674, 323, 6308, 11, 527, 17235, 4228, 311, 58583, 449, 279, 5369, 315, 264, 2697, 8798, 13, 30982, 38698, 307, 27360, 527, 539, 5115, 430, 4382, 11, 719, 814, 3207, 3345, 25, 1120, 3063, 11, 3063, 51180, 11, 323, 72591, 292, 13935, 304, 264, 12466, 1162, 13, 9062, 3769, 304, 279, 11863, 706, 264, 4382, 1853, 505, 2362, 311, 502, 25, 279, 3063, 25485, 30099, 6847, 520, 3428, 20472, 323, 649, 387, 6847, 92600, 11, 22011, 998, 369, 279, 50966, 430, 11383, 3727, 709, 279, 11863, 753, 1162, 11, 323, 279, 72591, 292, 13935, 73396, 668, 649, 3060, 387, 80703, 323, 26655, 315, 439, 77681, 11, 477, 279, 40769, 988, 649, 387, 26403, 311, 30847, 502, 73396, 2392, 477, 1511, 304, 279, 5788, 315, 1023, 11761, 3673, 11, 1778, 439, 779, 2690, 627, 43, 411, 2411, 27360, 11, 389, 279, 1023, 1450, 11, 617, 1790, 810, 17395, 8590, 380, 4108, 323, 264, 6651, 315, 7384, 430, 1541, 1431, 990, 323, 1514, 1664, 3871, 304, 459, 13076, 34978, 1920, 13, 362, 57907, 80846, 11863, 374, 539, 1120, 57907, 719, 1101, 706, 34928, 3223, 11, 87934, 11, 11245, 79106, 11, 477, 52349, 32246, 11, 539, 311, 6420, 25674, 11, 24166, 11, 323, 95273, 13, 2876, 1193, 374, 279, 6651, 315, 37182, 810, 17395, 11, 719, 872, 7106, 1376, 439, 7019, 12601, 49482, 8800, 9501, 47499, 3727, 13654, 315, 1855, 3777, 3117, 810, 17395, 1109, 1120, 21939, 433, 304, 264, 55564, 627, 791, 73396, 668, 304, 264, 57907, 11863, 374, 1790, 810, 17395, 2288, 11, 31706, 315, 57907, 78235, 304, 17509, 17808, 2092, 48764, 1093, 8537, 64651, 84443, 13, 1115, 3727, 279, 85855, 73396, 2392, 1790, 810, 5107, 311, 3568, 449, 439, 1664, 26, 912, 4382, 19371, 1516, 323, 21277, 2065, 449, 264, 6913, 6425, 1093, 39695, 60831, 97342, 690, 3219, 1521, 32246, 6220, 3403, 311, 32643, 311, 264, 63020, 439, 374, 279, 1162, 369, 3063, 38698, 307, 34978, 13, 1611, 6260, 449, 430, 11621, 311, 279, 2853, 315, 34978, 323, 15455, 1139, 279, 4754, 11626, 627, 32, 43396, 12, 4699, 8773, 198, 791, 22936, 1920, 315, 34978, 374, 1101, 1790, 8831, 369, 3063, 38698, 307, 27360, 13, 763, 279, 1455, 11084, 34978, 11012, 11, 1511, 1841, 27360, 649, 16280, 387, 523, 40458, 1139, 264, 53462, 261, 4459, 11, 902, 71255, 4861, 279, 12466, 5157, 11, 19786, 279, 73396, 668, 11, 323, 559, 54469, 279, 6301, 2402, 13, 8773, 3090, 374, 3779, 311, 19371, 1088, 279, 72591, 292, 13935, 323, 18698, 3201, 279, 12466, 9660, 11, 902, 649, 387, 79669, 2106, 1022, 1418, 20806, 279, 3063, 5596, 19868, 13, 20696, 706, 1202, 1866, 7106, 1853, 1555, 279, 1920, 11, 323, 3823, 6206, 1205, 2646, 5916, 279, 27360, 11, 902, 3727, 369, 264, 1633, 60618, 1920, 430, 29505, 1664, 13, 1628, 1524, 1405, 279, 1920, 374, 539, 11622, 28598, 11, 279, 7347, 1396, 315, 21483, 323, 12562, 315, 27360, 11, 34356, 449, 872, 12309, 3544, 1404, 11, 3727, 11744, 287, 279, 27360, 369, 4062, 834, 15343, 4228, 627, 28474, 420, 311, 11850, 264, 57907, 80846, 11863, 3854, 13, 578, 1376, 8331, 369, 1521, 1436, 2134, 505, 264, 21288, 11863, 311, 459, 2362, 31646, 77590, 11863, 3854, 311, 279, 65973, 315, 264, 36850, 291, 9249, 7458, 13, 6104, 1455, 315, 1521, 690, 387, 6799, 449, 7917, 1093, 279, 220, 9714, 1135, 11, 1855, 832, 690, 1782, 304, 1404, 323, 6211, 11, 323, 279, 1396, 323, 17140, 315, 7917, 2949, 279, 3854, 690, 13592, 48295, 13, 7648, 31406, 690, 1101, 617, 1063, 3169, 315, 16622, 4580, 4871, 11, 902, 7612, 264, 8821, 3094, 311, 34929, 349, 323, 706, 311, 3810, 264, 2204, 34978, 4365, 13, 2468, 3325, 369, 1457, 11, 420, 3727, 834, 15343, 315, 57907, 80846, 31406, 279, 990, 315, 3823, 6206, 11, 902, 3727, 433, 459, 11646, 41180, 430, 29505, 31555, 627, 791, 12062, 1990, 279, 5149, 4460, 311, 61843, 3063, 38698, 307, 323, 57907, 80846, 27360, 6678, 279, 8244, 28989, 315, 279, 1920, 13, 1442, 499, 1427, 520, 279, 3430, 315, 57907, 1746, 1114, 11, 931, 611, 8941, 8, 19579, 3063, 1746, 17, 11, 5067, 611, 8941, 705, 433, 1053, 2873, 430, 57907, 34978, 1053, 387, 810, 34235, 13, 2030, 422, 499, 649, 1431, 636, 279, 57907, 704, 315, 27360, 13750, 11, 433, 3250, 1431, 5030, 1268, 1790, 279, 6392, 1053, 7380, 13, 1789, 92465, 388, 11, 279, 907, 41180, 374, 87572, 17345, 304, 4799, 315, 3063, 11, 1405, 6908, 5510, 13787, 27378, 323, 4228, 33289, 5528, 1304, 34978, 264, 34235, 26255, 13, 1628, 430, 753, 539, 311, 6420, 279, 37064, 315, 27890, 57907, 27360, 1139, 279, 3063, 38698, 307, 34978, 4365, 627, 2460, 420, 11767, 311, 279, 12703, 2144, 430, 5131, 11, 220, 3534, 4, 315, 57907, 80846, 27360, 527, 539, 47658, 13, 3161, 264, 6908, 502, 1988, 315, 5710, 27360, 922, 311, 4295, 279, 12571, 4365, 439, 279, 1176, 22540, 315, 9249, 323, 26038, 11731, 5662, 279, 842, 315, 872, 2532, 6439, 11, 420, 374, 2133, 311, 387, 264, 3575, 584, 3207, 2133, 311, 1205, 311, 3568, 449, 5246, 13, 578, 2144, 430, 2225, 57907, 323, 34928, 3223, 527, 42211, 505, 31205, 45311, 13918, 315, 279, 1917, 690, 4762, 1520, 41643, 279, 28989, 315, 34978, 1778, 430, 433, 3727, 810, 5647, 311, 11993, 279, 34072, 4856, 1109, 5379, 1124, 304, 459, 16236, 481, 1614, 311, 279, 5015, 88549, 814, 3782, 13, 20695, 690, 4461, 2349, 11, 719, 369, 1457, 11, 57907, 80846, 27360, 527, 264, 5710, 842, 5557, 13, 128001 ]
[ -100, 47, 5059, 519, 3815, 1664, 1306, 43929, 198, 1383, 85252, 36880, 265, 198, 33, 91211, 5513, 198, 13622, 1274, 3287, 1431, 1524, 1440, 24298, 13279, 9552, 753, 1283, 411, 393, 5059, 519, 574, 14363, 11, 568, 2795, 13, 2582, 520, 3325, 814, 3287, 1431, 1781, 568, 7111, 14363, 11, 3411, 1203, 389, 813, 3044, 1203, 304, 279, 4498, 315, 220, 679, 17, 11, 1314, 1603, 568, 1047, 264, 2324, 59085, 39042, 43929, 1389, 264, 8352, 505, 813, 4538, 11, 23278, 627, 1548, 411, 5828, 1431, 1524, 2216, 8430, 14363, 11, 568, 2795, 13, 2030, 568, 574, 39019, 1455, 315, 279, 1938, 13, 3011, 753, 1148, 8741, 994, 832, 706, 1193, 220, 23, 13, 20, 3346, 31301, 315, 832, 753, 81960, 13, 3011, 753, 264, 2860, 315, 220, 23, 13, 20, 3346, 1990, 279, 1403, 315, 1124, 627, 2181, 753, 264, 3044, 568, 574, 9405, 449, 11, 2795, 1283, 411, 1389, 63915, 93262, 26, 8051, 568, 3287, 1431, 1440, 922, 433, 3156, 568, 574, 304, 813, 220, 508, 82, 13, 1442, 813, 3070, 1047, 3967, 922, 433, 994, 568, 574, 9405, 11, 568, 1436, 617, 1047, 15173, 311, 61705, 279, 3575, 13, 1666, 433, 574, 11, 449, 19093, 14392, 3156, 568, 574, 304, 813, 220, 508, 82, 11, 15173, 5828, 1431, 264, 31528, 10778, 13, 1283, 1053, 1120, 617, 311, 3974, 449, 279, 3044, 430, 1053, 39436, 349, 813, 81960, 3156, 568, 1053, 9778, 617, 311, 22541, 311, 28960, 4548, 477, 264, 43929, 627, 73055, 369, 1283, 411, 323, 813, 7555, 78823, 11, 1283, 411, 753, 4538, 23278, 6656, 704, 311, 387, 264, 4832, 2489, 369, 264, 39042, 13, 128001, -100, 4599, 430, 282, 21508, 6693, 4131, 430, 701, 1841, 912, 5129, 938, 1590, 311, 2324, 449, 264, 4062, 27744, 315, 279, 1401, 11, 719, 4856, 10707, 598, 1202, 85334, 4058, 520, 279, 12703, 1614, 315, 701, 12141, 753, 20314, 1887, 11, 701, 3388, 374, 2867, 25, 499, 1205, 264, 502, 11863, 13, 13440, 499, 656, 433, 6261, 477, 1389, 83217, 279, 3463, 1389, 8961, 704, 279, 2683, 311, 4423, 775, 11, 279, 842, 1121, 374, 279, 1890, 13, 1472, 636, 264, 76835, 502, 3063, 38698, 307, 11863, 11, 323, 279, 2362, 832, 374, 41759, 291, 3201, 311, 387, 5015, 709, 323, 6656, 1139, 264, 502, 11863, 304, 264, 7154, 4832, 8036, 6471, 1887, 627, 42537, 561, 420, 311, 1148, 8741, 311, 279, 11863, 304, 701, 21288, 994, 433, 5616, 6835, 709, 279, 20457, 13, 4427, 315, 603, 690, 2477, 279, 3854, 1825, 11, 1505, 279, 4461, 832, 3958, 2849, 11, 323, 3060, 5155, 279, 3854, 477, 2109, 30349, 279, 1695, 7917, 13, 2030, 1455, 5710, 57907, 6108, 11863, 31406, 527, 12504, 304, 279, 5912, 23701, 11, 477, 9277, 304, 6437, 34978, 29618, 449, 279, 1888, 315, 34334, 719, 8965, 842, 709, 304, 279, 85634, 13971, 627, 10445, 279, 6811, 1990, 3063, 323, 57907, 27360, 30, 3639, 922, 1521, 1403, 23490, 4528, 14645, 80330, 3249, 832, 11863, 649, 617, 220, 3264, 4, 315, 1202, 3769, 47658, 11, 1418, 279, 1023, 374, 23917, 311, 1120, 26251, 30, 1628, 1148, 527, 279, 25127, 1523, 279, 5754, 11, 994, 11863, 31406, 505, 9249, 11731, 1212, 311, 3810, 279, 12571, 4365, 304, 20155, 5380, 1489, 489, 42846, 284, 35300, 198, 71251, 279, 66949, 1990, 3063, 38698, 307, 323, 57907, 80846, 11863, 34978, 90055, 1523, 311, 1403, 3682, 9547, 25, 892, 323, 30903, 13, 1952, 279, 892, 3185, 315, 279, 24524, 11, 2980, 430, 279, 2466, 12143, 88, 11863, 1234, 701, 28314, 374, 5128, 2362, 5557, 13, 30982, 38698, 307, 27360, 617, 1027, 2212, 369, 439, 1317, 439, 9515, 617, 11, 323, 1243, 1063, 13, 1666, 1778, 11, 814, 617, 927, 264, 9478, 753, 2010, 1212, 389, 872, 57907, 3196, 61007, 304, 3878, 315, 14054, 13, 1226, 4070, 1027, 1701, 1521, 2574, 16058, 11, 323, 584, 4070, 2216, 18205, 839, 304, 872, 48608, 6373, 13, 5659, 1589, 72455, 311, 25165, 323, 1203, 311, 1589, 72455, 1578, 11, 3063, 38698, 307, 27360, 8935, 505, 459, 16781, 323, 7701, 18751, 15266, 323, 8141, 1887, 11, 832, 430, 279, 57907, 80846, 5064, 1120, 706, 539, 3686, 1047, 892, 311, 2274, 13, 578, 3063, 38698, 307, 14054, 5900, 779, 3117, 439, 311, 3629, 1005, 279, 4839, 1890, 27861, 430, 6493, 27360, 311, 30282, 369, 279, 471, 8577, 311, 279, 1421, 10993, 627, 1489, 1101, 11335, 1139, 433, 4669, 279, 11295, 48639, 315, 40508, 27360, 13, 578, 5578, 1841, 11863, 40758, 922, 3116, 1667, 11, 3041, 477, 1935, 11, 323, 2533, 279, 5578, 19569, 315, 264, 1841, 374, 1457, 922, 45314, 1667, 11, 1855, 1841, 690, 4461, 1518, 2380, 477, 810, 27360, 927, 1202, 2532, 2324, 13, 1789, 9249, 11731, 323, 97205, 11, 279, 11863, 3854, 374, 6319, 311, 1566, 369, 5128, 1790, 279, 2532, 2324, 315, 279, 7458, 11, 779, 87799, 33788, 430, 3219, 279, 7458, 20037, 2212, 1124, 29948, 11, 57907, 80846, 31406, 527, 1120, 539, 2133, 311, 3810, 1139, 279, 34978, 4365, 7154, 439, 3629, 439, 3063, 38698, 307, 27360, 656, 13, 1115, 374, 14738, 4277, 660, 555, 279, 1396, 315, 57907, 80846, 11863, 31406, 505, 11761, 3956, 1093, 48985, 323, 2410, 7526, 26, 1884, 3810, 279, 12571, 4365, 3117, 10819, 1109, 57907, 80846, 27360, 505, 9249, 323, 26038, 11731, 13, 2030, 1884, 5219, 527, 264, 52662, 1493, 304, 279, 24524, 7863, 311, 279, 1396, 315, 3063, 38698, 307, 27360, 47658, 1475, 1938, 627, 2170, 369, 30903, 11, 279, 35388, 279, 6651, 315, 7384, 304, 459, 1665, 11, 279, 8831, 433, 374, 311, 61843, 13, 46953, 43732, 11, 902, 527, 1120, 25674, 323, 6308, 11, 527, 17235, 4228, 311, 58583, 449, 279, 5369, 315, 264, 2697, 8798, 13, 30982, 38698, 307, 27360, 527, 539, 5115, 430, 4382, 11, 719, 814, 3207, 3345, 25, 1120, 3063, 11, 3063, 51180, 11, 323, 72591, 292, 13935, 304, 264, 12466, 1162, 13, 9062, 3769, 304, 279, 11863, 706, 264, 4382, 1853, 505, 2362, 311, 502, 25, 279, 3063, 25485, 30099, 6847, 520, 3428, 20472, 323, 649, 387, 6847, 92600, 11, 22011, 998, 369, 279, 50966, 430, 11383, 3727, 709, 279, 11863, 753, 1162, 11, 323, 279, 72591, 292, 13935, 73396, 668, 649, 3060, 387, 80703, 323, 26655, 315, 439, 77681, 11, 477, 279, 40769, 988, 649, 387, 26403, 311, 30847, 502, 73396, 2392, 477, 1511, 304, 279, 5788, 315, 1023, 11761, 3673, 11, 1778, 439, 779, 2690, 627, 43, 411, 2411, 27360, 11, 389, 279, 1023, 1450, 11, 617, 1790, 810, 17395, 8590, 380, 4108, 323, 264, 6651, 315, 7384, 430, 1541, 1431, 990, 323, 1514, 1664, 3871, 304, 459, 13076, 34978, 1920, 13, 362, 57907, 80846, 11863, 374, 539, 1120, 57907, 719, 1101, 706, 34928, 3223, 11, 87934, 11, 11245, 79106, 11, 477, 52349, 32246, 11, 539, 311, 6420, 25674, 11, 24166, 11, 323, 95273, 13, 2876, 1193, 374, 279, 6651, 315, 37182, 810, 17395, 11, 719, 872, 7106, 1376, 439, 7019, 12601, 49482, 8800, 9501, 47499, 3727, 13654, 315, 1855, 3777, 3117, 810, 17395, 1109, 1120, 21939, 433, 304, 264, 55564, 627, 791, 73396, 668, 304, 264, 57907, 11863, 374, 1790, 810, 17395, 2288, 11, 31706, 315, 57907, 78235, 304, 17509, 17808, 2092, 48764, 1093, 8537, 64651, 84443, 13, 1115, 3727, 279, 85855, 73396, 2392, 1790, 810, 5107, 311, 3568, 449, 439, 1664, 26, 912, 4382, 19371, 1516, 323, 21277, 2065, 449, 264, 6913, 6425, 1093, 39695, 60831, 97342, 690, 3219, 1521, 32246, 6220, 3403, 311, 32643, 311, 264, 63020, 439, 374, 279, 1162, 369, 3063, 38698, 307, 34978, 13, 1611, 6260, 449, 430, 11621, 311, 279, 2853, 315, 34978, 323, 15455, 1139, 279, 4754, 11626, 627, 32, 43396, 12, 4699, 8773, 198, 791, 22936, 1920, 315, 34978, 374, 1101, 1790, 8831, 369, 3063, 38698, 307, 27360, 13, 763, 279, 1455, 11084, 34978, 11012, 11, 1511, 1841, 27360, 649, 16280, 387, 523, 40458, 1139, 264, 53462, 261, 4459, 11, 902, 71255, 4861, 279, 12466, 5157, 11, 19786, 279, 73396, 668, 11, 323, 559, 54469, 279, 6301, 2402, 13, 8773, 3090, 374, 3779, 311, 19371, 1088, 279, 72591, 292, 13935, 323, 18698, 3201, 279, 12466, 9660, 11, 902, 649, 387, 79669, 2106, 1022, 1418, 20806, 279, 3063, 5596, 19868, 13, 20696, 706, 1202, 1866, 7106, 1853, 1555, 279, 1920, 11, 323, 3823, 6206, 1205, 2646, 5916, 279, 27360, 11, 902, 3727, 369, 264, 1633, 60618, 1920, 430, 29505, 1664, 13, 1628, 1524, 1405, 279, 1920, 374, 539, 11622, 28598, 11, 279, 7347, 1396, 315, 21483, 323, 12562, 315, 27360, 11, 34356, 449, 872, 12309, 3544, 1404, 11, 3727, 11744, 287, 279, 27360, 369, 4062, 834, 15343, 4228, 627, 28474, 420, 311, 11850, 264, 57907, 80846, 11863, 3854, 13, 578, 1376, 8331, 369, 1521, 1436, 2134, 505, 264, 21288, 11863, 311, 459, 2362, 31646, 77590, 11863, 3854, 311, 279, 65973, 315, 264, 36850, 291, 9249, 7458, 13, 6104, 1455, 315, 1521, 690, 387, 6799, 449, 7917, 1093, 279, 220, 9714, 1135, 11, 1855, 832, 690, 1782, 304, 1404, 323, 6211, 11, 323, 279, 1396, 323, 17140, 315, 7917, 2949, 279, 3854, 690, 13592, 48295, 13, 7648, 31406, 690, 1101, 617, 1063, 3169, 315, 16622, 4580, 4871, 11, 902, 7612, 264, 8821, 3094, 311, 34929, 349, 323, 706, 311, 3810, 264, 2204, 34978, 4365, 13, 2468, 3325, 369, 1457, 11, 420, 3727, 834, 15343, 315, 57907, 80846, 31406, 279, 990, 315, 3823, 6206, 11, 902, 3727, 433, 459, 11646, 41180, 430, 29505, 31555, 627, 791, 12062, 1990, 279, 5149, 4460, 311, 61843, 3063, 38698, 307, 323, 57907, 80846, 27360, 6678, 279, 8244, 28989, 315, 279, 1920, 13, 1442, 499, 1427, 520, 279, 3430, 315, 57907, 1746, 1114, 11, 931, 611, 8941, 8, 19579, 3063, 1746, 17, 11, 5067, 611, 8941, 705, 433, 1053, 2873, 430, 57907, 34978, 1053, 387, 810, 34235, 13, 2030, 422, 499, 649, 1431, 636, 279, 57907, 704, 315, 27360, 13750, 11, 433, 3250, 1431, 5030, 1268, 1790, 279, 6392, 1053, 7380, 13, 1789, 92465, 388, 11, 279, 907, 41180, 374, 87572, 17345, 304, 4799, 315, 3063, 11, 1405, 6908, 5510, 13787, 27378, 323, 4228, 33289, 5528, 1304, 34978, 264, 34235, 26255, 13, 1628, 430, 753, 539, 311, 6420, 279, 37064, 315, 27890, 57907, 27360, 1139, 279, 3063, 38698, 307, 34978, 4365, 627, 2460, 420, 11767, 311, 279, 12703, 2144, 430, 5131, 11, 220, 3534, 4, 315, 57907, 80846, 27360, 527, 539, 47658, 13, 3161, 264, 6908, 502, 1988, 315, 5710, 27360, 922, 311, 4295, 279, 12571, 4365, 439, 279, 1176, 22540, 315, 9249, 323, 26038, 11731, 5662, 279, 842, 315, 872, 2532, 6439, 11, 420, 374, 2133, 311, 387, 264, 3575, 584, 3207, 2133, 311, 1205, 311, 3568, 449, 5246, 13, 578, 2144, 430, 2225, 57907, 323, 34928, 3223, 527, 42211, 505, 31205, 45311, 13918, 315, 279, 1917, 690, 4762, 1520, 41643, 279, 28989, 315, 34978, 1778, 430, 433, 3727, 810, 5647, 311, 11993, 279, 34072, 4856, 1109, 5379, 1124, 304, 459, 16236, 481, 1614, 311, 279, 5015, 88549, 814, 3782, 13, 20695, 690, 4461, 2349, 11, 719, 369, 1457, 11, 57907, 80846, 27360, 527, 264, 5710, 842, 5557, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542 ]
[ 128000, 4599, 627, 49, 560, 315, 3388, 4225, 309, 7162, 10434, 439, 10058, 14409, 753, 5165, 8398, 54432, 2391, 279, 2926, 1558, 88771, 315, 2225, 21139, 323, 11340, 11, 323, 16996, 398, 9087, 1304, 279, 1162, 369, 4208, 311, 279, 3778, 586, 11, 3010, 13788, 439, 14409, 753, 12667, 315, 3314, 1555, 220, 1049, 24, 627, 29132, 9087, 1212, 1403, 4745, 25981, 11, 2225, 315, 902, 617, 1317, 14958, 17693, 66858, 4315, 279, 3778, 586, 11, 18182, 1221, 8747, 30616, 439, 264, 864, 37612, 14168, 36182, 444, 7899, 1053, 387, 61302, 439, 264, 1054, 60021, 279, 3388, 863, 1486, 315, 1684, 13, 1102, 753, 1101, 17693, 31720, 430, 1070, 753, 912, 7362, 4947, 3634, 304, 3878, 315, 59485, 36734, 1990, 30616, 323, 8283, 1389, 15629, 889, 15753, 369, 279, 2326, 11500, 59208, 30215, 315, 38059, 323, 13205, 57593, 17942, 2349, 304, 12911, 2403, 38616, 627, 39203, 374, 3967, 922, 24559, 1148, 15383, 39873, 11, 719, 433, 753, 539, 5107, 311, 13085, 13, 5810, 527, 264, 2478, 1401, 26793, 4669, 51314, 512, 12, 1054, 1128, 8747, 30616, 374, 1093, 11, 3451, 2675, 1440, 11, 584, 3207, 4762, 16926, 617, 311, 733, 1203, 92264, 23442, 264, 4754, 22531, 304, 24020, 11, 279, 4562, 1071, 627, 12, 49216, 12, 13596, 627, 4054, 53873, 13093, 4562, 3309, 51314, 4726, 430, 1054, 20670, 2225, 7378, 584, 3207, 2133, 311, 1205, 311, 14201, 264, 5663, 56663, 9131, 17354, 4994, 315, 430, 3224, 49216, 2173, 3388, 814, 1390, 311, 2567, 17312, 304, 21139, 627, 27125, 220, 508, 1667, 539, 3403, 369, 499, 30, 571, 65476, 51308, 571, 50796, 1286, 10333, 4458, 49, 560, 198, 2345, 13566, 9053, 369, 32492, 8165, 56, 984, 581, 1368, 8, 5936, 220, 966, 11, 220, 2366, 16, 198, 11649, 315, 3388, 0, 1981, 19041, 2744, 3966, 311, 387, 264, 4208, 2133, 389, 17354, 323, 15038, 1389, 6062, 1268, 1053, 1521, 8369, 647, 4776, 23628, 6212, 520, 128001, 128000, 36190, 505, 279, 350, 3444, 11188, 9665, 15691, 3090, 627, 47716, 715, 35439, 32, 69415, 4669, 21171, 12041, 198, 2409, 5190, 24808, 5990, 11, 1455, 315, 279, 12908, 304, 902, 9606, 649, 18167, 690, 387, 5675, 323, 279, 4754, 369, 35093, 690, 3719, 810, 7347, 627, 43, 59360, 480, 7379, 2396, 263, 482, 5513, 3039, 4669, 21171, 12041, 198, 38275, 14990, 13, 9086, 1561, 17340, 11, 433, 706, 1579, 29149, 20748, 323, 264, 8009, 10182, 3839, 3335, 779, 3117, 11, 719, 433, 706, 18306, 1790, 16643, 11811, 311, 4018, 20748, 555, 220, 3971, 4, 1990, 220, 679, 23, 323, 220, 9639, 15, 627, 53267, 23994, 76233, 81, 6729, 69415, 4669, 21171, 12041, 198, 791, 95661, 753, 3477, 1920, 374, 4315, 279, 1455, 73603, 369, 904, 12624, 1920, 13, 9062, 1934, 27983, 9214, 315, 6170, 505, 11758, 315, 60138, 4028, 264, 2134, 315, 12624, 39555, 627, 68639, 5708, 7397, 77302, 63696, 198, 32, 502, 4007, 5039, 1268, 584, 649, 3449, 279, 9021, 315, 279, 12366, 23314, 555, 10223, 279, 907, 315, 2204, 37647, 45612, 927, 892, 627, 4155, 315, 8494, 753, 8592, 37612, 15154, 4907, 19339, 527, 7373, 477, 1524, 15499, 27210, 449, 3728, 10182, 9021, 13, 4702, 832, 5900, 1524, 961, 3195, 11, 323, 4330, 9922, 311, 387, 4737, 912, 1957, 520, 682, 627, 53, 10185, 12034, 617, 326, 21046, 1142, 2403, 10182, 4947, 15603, 11, 719, 430, 753, 1193, 832, 2944, 369, 279, 6435, 5054, 2077, 13, 6104, 1455, 1274, 1390, 10182, 1957, 11, 814, 7222, 1023, 4819, 439, 810, 34771, 627, 84016, 4758, 15302, 15567, 61819, 2785, 198, 791, 44277, 10423, 6051, 6004, 872, 31636, 10604, 28845, 323, 11411, 311, 15104, 4504, 37647, 20748, 555, 220, 9639, 15, 13, 4418, 1431, 52490, 420, 1120, 3686, 11, 1070, 753, 1790, 810, 311, 656, 627, 84016, 4758, 14, 10254, 3523, 555, 27622, 8078, 63107, 22862, 18945, 198, 791, 502, 42356, 315, 1614, 17047, 733, 1063, 1648, 311, 21973, 279, 742, 2163, 555, 279, 6996, 315, 264, 5426, 10182, 4947, 13, 578, 5415, 1288, 11, 323, 649, 11, 16580, 872, 9045, 13, 5810, 753, 1268, 627, 2127, 11245, 19033, 304, 423, 5673, 100140, 11, 6890, 627, 5953, 404, 11284, 4821, 1543, 14, 2149, 27322, 12937, 11064, 198, 72828, 4250, 387, 3685, 311, 682, 48814, 279, 1890, 1853, 311, 4272, 7315, 20748, 627, 35075, 488, 649, 2103, 4017, 3728, 24808, 311, 220, 16, 13, 20, 32037, 420, 9478, 13, 2030, 5054, 1957, 690, 8417, 3508, 433, 3604, 1587, 13, 1221, 1517, 1113, 279, 1403, 4860, 15055, 311, 11660, 11, 90660, 62212, 275, 894, 627, 22560, 1268, 311, 14532, 279, 15632, 315, 279, 864, 7813, 3143, 1627, 30048, 627, 2520, 810, 1109, 220, 508, 1667, 11, 7008, 706, 19352, 13942, 1202, 11811, 311, 8108, 37647, 6962, 20748, 13, 1102, 374, 279, 1193, 480, 22, 3224, 6832, 20748, 617, 7319, 2533, 220, 679, 15, 627, 28576, 356, 12, 717, 374, 264, 3094, 304, 279, 1314, 5216, 11, 719, 1202, 539, 3403, 311, 3449, 7008, 753, 5915, 369, 264, 1654, 52745, 1534, 8752, 627, 49137, 2011, 4353, 901, 1202, 20748, 14278, 11811, 323, 5662, 4272, 38029, 20748, 555, 220, 9639, 20, 13, 17586, 420, 323, 1023, 18336, 3728, 1957, 11, 279, 6140, 311, 3412, 24808, 311, 1664, 3770, 220, 17, 112631, 690, 1522, 603, 555, 627, 35, 8201, 25586, 23590, 14, 2149, 27322, 12937, 11064, 198, 24374, 541, 323, 10712, 527, 279, 1566, 2574, 279, 1917, 3966, 520, 420, 9200, 4545, 627, 1687, 6865, 264, 2763, 922, 279, 50054, 3109, 3451, 74, 16671, 279, 649, 1523, 279, 5754, 529, 389, 20748, 14278, 13, 1561, 3495, 21667, 279, 24473, 23104, 430, 8603, 8800, 3995, 56937, 627, 43, 59360, 480, 7379, 2396, 263, 4669, 21171, 12041, 198, 791, 31636, 10604, 9849, 19786, 1561, 17340, 753, 1176, 16195, 3197, 311, 4018, 20748, 11, 8260, 389, 279, 3109, 311, 1054, 30345, 709, 279, 18338, 113068, 11907, 31376, 10633, 20748, 12504, 555, 922, 8254, 824, 2960, 304, 220, 2366, 15, 7863, 449, 220, 679, 24, 13, 2030, 264, 42632, 374, 4461, 311, 12446, 994, 51235, 82, 14553, 709, 7389, 20562, 12, 777, 13654, 14519, 5357, 389, 3451, 13553, 13654, 14639, 198, 54948, 11064, 10482, 60808, 1322, 25604, 340, 35862, 5961, 617, 1903, 79118, 311, 8108, 872, 37647, 6962, 20748, 311, 7315, 555, 5209, 34457, 13, 2030, 502, 3495, 14035, 279, 9861, 12782, 8199, 690, 387, 79266, 1603, 584, 636, 1070, 627, 37031, 753, 10182, 3197, 5764, 7999, 810, 9249, 7458, 23468, 17789, 11, 18899, 4907, 15374, 315, 10632, 323, 14016, 11, 323, 19054, 279, 3430, 389, 12782, 311, 400, 8258, 824, 8941, 818, 555, 220, 9639, 15, 627, 17673, 20076, 1846, 22774, 74919, 32801, 263, 14308, 93305, 198, 4155, 315, 7008, 753, 3347, 10182, 11811, 477, 6787, 706, 1027, 43010, 13, 2030, 279, 7033, 389, 279, 5652, 3197, 11, 902, 34744, 389, 264, 43071, 7859, 12782, 3430, 11, 1436, 617, 7008, 3449, 1202, 220, 9639, 15, 5915, 627, 44297, 4900, 61544, 63401, 28421, 264, 2835, 2686, 2391, 279, 220, 2366, 15, 31636, 20423, 684, 35769, 627, 32, 1060, 704, 505, 279, 62720, 220, 1627, 339, 6781, 10017, 11, 279, 6560, 5762, 459, 2930, 6574, 311, 24074, 709, 82746, 369, 10182, 1957, 627, 80853, 496, 3046, 304, 12366, 389, 279, 1938, 279, 9306, 574, 8667, 11, 6790, 220, 717, 220, 679, 20, 627, 17911, 1314, 11, 4445, 1303, 7224, 649, 8935, 2254, 1274, 323, 1304, 264, 66303, 6811, 311, 12782, 20748, 13, 128001 ]
[ -100, 4599, 627, 49, 560, 315, 3388, 4225, 309, 7162, 10434, 439, 10058, 14409, 753, 5165, 8398, 54432, 2391, 279, 2926, 1558, 88771, 315, 2225, 21139, 323, 11340, 11, 323, 16996, 398, 9087, 1304, 279, 1162, 369, 4208, 311, 279, 3778, 586, 11, 3010, 13788, 439, 14409, 753, 12667, 315, 3314, 1555, 220, 1049, 24, 627, 29132, 9087, 1212, 1403, 4745, 25981, 11, 2225, 315, 902, 617, 1317, 14958, 17693, 66858, 4315, 279, 3778, 586, 11, 18182, 1221, 8747, 30616, 439, 264, 864, 37612, 14168, 36182, 444, 7899, 1053, 387, 61302, 439, 264, 1054, 60021, 279, 3388, 863, 1486, 315, 1684, 13, 1102, 753, 1101, 17693, 31720, 430, 1070, 753, 912, 7362, 4947, 3634, 304, 3878, 315, 59485, 36734, 1990, 30616, 323, 8283, 1389, 15629, 889, 15753, 369, 279, 2326, 11500, 59208, 30215, 315, 38059, 323, 13205, 57593, 17942, 2349, 304, 12911, 2403, 38616, 627, 39203, 374, 3967, 922, 24559, 1148, 15383, 39873, 11, 719, 433, 753, 539, 5107, 311, 13085, 13, 5810, 527, 264, 2478, 1401, 26793, 4669, 51314, 512, 12, 1054, 1128, 8747, 30616, 374, 1093, 11, 3451, 2675, 1440, 11, 584, 3207, 4762, 16926, 617, 311, 733, 1203, 92264, 23442, 264, 4754, 22531, 304, 24020, 11, 279, 4562, 1071, 627, 12, 49216, 12, 13596, 627, 4054, 53873, 13093, 4562, 3309, 51314, 4726, 430, 1054, 20670, 2225, 7378, 584, 3207, 2133, 311, 1205, 311, 14201, 264, 5663, 56663, 9131, 17354, 4994, 315, 430, 3224, 49216, 2173, 3388, 814, 1390, 311, 2567, 17312, 304, 21139, 627, 27125, 220, 508, 1667, 539, 3403, 369, 499, 30, 571, 65476, 51308, 571, 50796, 1286, 10333, 4458, 49, 560, 198, 2345, 13566, 9053, 369, 32492, 8165, 56, 984, 581, 1368, 8, 5936, 220, 966, 11, 220, 2366, 16, 198, 11649, 315, 3388, 0, 1981, 19041, 2744, 3966, 311, 387, 264, 4208, 2133, 389, 17354, 323, 15038, 1389, 6062, 1268, 1053, 1521, 8369, 647, 4776, 23628, 6212, 520, 128001, -100, 36190, 505, 279, 350, 3444, 11188, 9665, 15691, 3090, 627, 47716, 715, 35439, 32, 69415, 4669, 21171, 12041, 198, 2409, 5190, 24808, 5990, 11, 1455, 315, 279, 12908, 304, 902, 9606, 649, 18167, 690, 387, 5675, 323, 279, 4754, 369, 35093, 690, 3719, 810, 7347, 627, 43, 59360, 480, 7379, 2396, 263, 482, 5513, 3039, 4669, 21171, 12041, 198, 38275, 14990, 13, 9086, 1561, 17340, 11, 433, 706, 1579, 29149, 20748, 323, 264, 8009, 10182, 3839, 3335, 779, 3117, 11, 719, 433, 706, 18306, 1790, 16643, 11811, 311, 4018, 20748, 555, 220, 3971, 4, 1990, 220, 679, 23, 323, 220, 9639, 15, 627, 53267, 23994, 76233, 81, 6729, 69415, 4669, 21171, 12041, 198, 791, 95661, 753, 3477, 1920, 374, 4315, 279, 1455, 73603, 369, 904, 12624, 1920, 13, 9062, 1934, 27983, 9214, 315, 6170, 505, 11758, 315, 60138, 4028, 264, 2134, 315, 12624, 39555, 627, 68639, 5708, 7397, 77302, 63696, 198, 32, 502, 4007, 5039, 1268, 584, 649, 3449, 279, 9021, 315, 279, 12366, 23314, 555, 10223, 279, 907, 315, 2204, 37647, 45612, 927, 892, 627, 4155, 315, 8494, 753, 8592, 37612, 15154, 4907, 19339, 527, 7373, 477, 1524, 15499, 27210, 449, 3728, 10182, 9021, 13, 4702, 832, 5900, 1524, 961, 3195, 11, 323, 4330, 9922, 311, 387, 4737, 912, 1957, 520, 682, 627, 53, 10185, 12034, 617, 326, 21046, 1142, 2403, 10182, 4947, 15603, 11, 719, 430, 753, 1193, 832, 2944, 369, 279, 6435, 5054, 2077, 13, 6104, 1455, 1274, 1390, 10182, 1957, 11, 814, 7222, 1023, 4819, 439, 810, 34771, 627, 84016, 4758, 15302, 15567, 61819, 2785, 198, 791, 44277, 10423, 6051, 6004, 872, 31636, 10604, 28845, 323, 11411, 311, 15104, 4504, 37647, 20748, 555, 220, 9639, 15, 13, 4418, 1431, 52490, 420, 1120, 3686, 11, 1070, 753, 1790, 810, 311, 656, 627, 84016, 4758, 14, 10254, 3523, 555, 27622, 8078, 63107, 22862, 18945, 198, 791, 502, 42356, 315, 1614, 17047, 733, 1063, 1648, 311, 21973, 279, 742, 2163, 555, 279, 6996, 315, 264, 5426, 10182, 4947, 13, 578, 5415, 1288, 11, 323, 649, 11, 16580, 872, 9045, 13, 5810, 753, 1268, 627, 2127, 11245, 19033, 304, 423, 5673, 100140, 11, 6890, 627, 5953, 404, 11284, 4821, 1543, 14, 2149, 27322, 12937, 11064, 198, 72828, 4250, 387, 3685, 311, 682, 48814, 279, 1890, 1853, 311, 4272, 7315, 20748, 627, 35075, 488, 649, 2103, 4017, 3728, 24808, 311, 220, 16, 13, 20, 32037, 420, 9478, 13, 2030, 5054, 1957, 690, 8417, 3508, 433, 3604, 1587, 13, 1221, 1517, 1113, 279, 1403, 4860, 15055, 311, 11660, 11, 90660, 62212, 275, 894, 627, 22560, 1268, 311, 14532, 279, 15632, 315, 279, 864, 7813, 3143, 1627, 30048, 627, 2520, 810, 1109, 220, 508, 1667, 11, 7008, 706, 19352, 13942, 1202, 11811, 311, 8108, 37647, 6962, 20748, 13, 1102, 374, 279, 1193, 480, 22, 3224, 6832, 20748, 617, 7319, 2533, 220, 679, 15, 627, 28576, 356, 12, 717, 374, 264, 3094, 304, 279, 1314, 5216, 11, 719, 1202, 539, 3403, 311, 3449, 7008, 753, 5915, 369, 264, 1654, 52745, 1534, 8752, 627, 49137, 2011, 4353, 901, 1202, 20748, 14278, 11811, 323, 5662, 4272, 38029, 20748, 555, 220, 9639, 20, 13, 17586, 420, 323, 1023, 18336, 3728, 1957, 11, 279, 6140, 311, 3412, 24808, 311, 1664, 3770, 220, 17, 112631, 690, 1522, 603, 555, 627, 35, 8201, 25586, 23590, 14, 2149, 27322, 12937, 11064, 198, 24374, 541, 323, 10712, 527, 279, 1566, 2574, 279, 1917, 3966, 520, 420, 9200, 4545, 627, 1687, 6865, 264, 2763, 922, 279, 50054, 3109, 3451, 74, 16671, 279, 649, 1523, 279, 5754, 529, 389, 20748, 14278, 13, 1561, 3495, 21667, 279, 24473, 23104, 430, 8603, 8800, 3995, 56937, 627, 43, 59360, 480, 7379, 2396, 263, 4669, 21171, 12041, 198, 791, 31636, 10604, 9849, 19786, 1561, 17340, 753, 1176, 16195, 3197, 311, 4018, 20748, 11, 8260, 389, 279, 3109, 311, 1054, 30345, 709, 279, 18338, 113068, 11907, 31376, 10633, 20748, 12504, 555, 922, 8254, 824, 2960, 304, 220, 2366, 15, 7863, 449, 220, 679, 24, 13, 2030, 264, 42632, 374, 4461, 311, 12446, 994, 51235, 82, 14553, 709, 7389, 20562, 12, 777, 13654, 14519, 5357, 389, 3451, 13553, 13654, 14639, 198, 54948, 11064, 10482, 60808, 1322, 25604, 340, 35862, 5961, 617, 1903, 79118, 311, 8108, 872, 37647, 6962, 20748, 311, 7315, 555, 5209, 34457, 13, 2030, 502, 3495, 14035, 279, 9861, 12782, 8199, 690, 387, 79266, 1603, 584, 636, 1070, 627, 37031, 753, 10182, 3197, 5764, 7999, 810, 9249, 7458, 23468, 17789, 11, 18899, 4907, 15374, 315, 10632, 323, 14016, 11, 323, 19054, 279, 3430, 389, 12782, 311, 400, 8258, 824, 8941, 818, 555, 220, 9639, 15, 627, 17673, 20076, 1846, 22774, 74919, 32801, 263, 14308, 93305, 198, 4155, 315, 7008, 753, 3347, 10182, 11811, 477, 6787, 706, 1027, 43010, 13, 2030, 279, 7033, 389, 279, 5652, 3197, 11, 902, 34744, 389, 264, 43071, 7859, 12782, 3430, 11, 1436, 617, 7008, 3449, 1202, 220, 9639, 15, 5915, 627, 44297, 4900, 61544, 63401, 28421, 264, 2835, 2686, 2391, 279, 220, 2366, 15, 31636, 20423, 684, 35769, 627, 32, 1060, 704, 505, 279, 62720, 220, 1627, 339, 6781, 10017, 11, 279, 6560, 5762, 459, 2930, 6574, 311, 24074, 709, 82746, 369, 10182, 1957, 627, 80853, 496, 3046, 304, 12366, 389, 279, 1938, 279, 9306, 574, 8667, 11, 6790, 220, 717, 220, 679, 20, 627, 17911, 1314, 11, 4445, 1303, 7224, 649, 8935, 2254, 1274, 323, 1304, 264, 66303, 6811, 311, 12782, 20748, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892 ]
[ 128000, 3915, 85979, 12688, 45526, 323, 7940, 388, 311, 27188, 14887, 291, 323, 43828, 89341, 11, 39640, 374, 264, 5933, 57525, 430, 13912, 33012, 8369, 304, 279, 12688, 323, 7155, 304, 279, 7474, 13, 2030, 1550, 499, 1440, 39640, 1101, 4131, 505, 6730, 2053, 11, 9507, 29189, 11, 453, 46051, 300, 323, 1524, 71932, 5380, 2181, 753, 47519, 323, 31785, 311, 9193, 1579, 9499, 323, 264, 555, 29745, 2663, 31791, 37737, 1389, 1101, 3967, 439, 39640, 37123, 1389, 374, 13882, 1511, 304, 13444, 3956, 11, 19588, 293, 7828, 11, 54494, 1821, 11, 30077, 45129, 323, 1524, 439, 264, 41394, 369, 9501, 311, 5471, 23941, 13, 47400, 374, 832, 315, 279, 1455, 33045, 7384, 389, 9420, 627, 4518, 389, 311, 1505, 704, 1268, 39640, 374, 1903, 439, 1664, 439, 42687, 279, 11503, 311, 279, 4860, 3451, 5269, 656, 814, 1304, 39640, 304, 264, 8803, 14336, 323, 3451, 5269, 374, 39347, 1903, 123956, 54, 1786, 482, 362, 3005, 1636, 11346, 198, 10438, 3411, 1139, 3451, 5269, 374, 39640, 9124, 20182, 433, 753, 5922, 3411, 520, 1202, 3925, 13, 66094, 527, 3463, 311, 617, 1176, 13018, 660, 33012, 2212, 220, 806, 11, 931, 1667, 4227, 13, 1666, 369, 279, 24417, 39640, 17895, 3596, 1766, 11, 420, 706, 1027, 30105, 311, 1990, 220, 3443, 15, 323, 220, 3101, 15, 18531, 627, 1383, 220, 1041, 15, 18531, 279, 8013, 323, 15506, 1051, 4606, 753, 6156, 39640, 24190, 13, 1102, 574, 6216, 439, 264, 38983, 520, 8753, 6696, 282, 4825, 304, 279, 12877, 50093, 11, 505, 1405, 433, 9041, 6957, 4606, 323, 9778, 1139, 5270, 627, 2520, 9214, 315, 1667, 11, 39640, 5788, 574, 2884, 555, 1450, 13, 2030, 279, 4320, 311, 3451, 5269, 374, 39640, 1903, 529, 5614, 29057, 304, 279, 220, 10967, 15, 82, 449, 279, 28229, 315, 279, 38960, 503, 18314, 13, 1115, 30191, 5780, 4661, 3254, 37240, 398, 13076, 4147, 66638, 30847, 627, 15724, 11, 39640, 374, 264, 3728, 11, 7447, 70173, 31123, 5064, 1511, 369, 4395, 505, 17895, 323, 5105, 365, 5518, 311, 5222, 16157, 287, 323, 15580, 65712, 627, 4516, 11, 1268, 1587, 682, 430, 39640, 2586, 311, 3157, 30, 2650, 656, 814, 1304, 39640, 304, 264, 8803, 30, 1472, 1389, 10035, 37990, 68, 1389, 527, 922, 311, 1505, 704, 627, 791, 56180, 28232, 47400, 323, 816, 1923, 198, 10438, 38936, 1268, 39640, 374, 1903, 323, 36864, 3451, 5269, 374, 39347, 1903, 20182, 433, 753, 3062, 311, 8417, 1063, 1401, 12062, 1990, 1521, 1403, 7384, 13, 47400, 374, 264, 5933, 57525, 430, 374, 12457, 505, 10099, 11, 1418, 39347, 374, 264, 893, 27975, 4617, 477, 42589, 315, 16178, 417, 13, 816, 1923, 649, 387, 1903, 505, 264, 8205, 315, 7384, 11, 2737, 5933, 16178, 417, 1778, 439, 39640, 323, 24428, 11, 439, 1664, 439, 28367, 16178, 417, 1093, 59741, 323, 52155, 627, 54, 1786, 374, 6118, 59884, 323, 1080, 10642, 1109, 39347, 11, 323, 649, 387, 810, 11646, 13, 816, 1923, 11, 389, 279, 1023, 1450, 11, 374, 11383, 65355, 323, 61405, 1109, 39640, 323, 6118, 2753, 11646, 627, 4438, 47400, 374, 19332, 505, 84008, 198, 4438, 374, 39640, 9124, 30, 578, 18475, 505, 264, 33012, 753, 23724, 311, 17895, 374, 264, 7447, 30308, 1920, 11, 505, 33012, 10177, 894, 311, 279, 15266, 315, 1620, 3956, 13, 578, 1176, 3094, 304, 279, 5788, 315, 39640, 374, 33012, 10177, 894, 627, 11769, 10683, 11, 33012, 20957, 65344, 872, 49816, 449, 8987, 55618, 9249, 24788, 1105, 430, 4148, 279, 56737, 304, 832, 6710, 13, 4314, 649, 17988, 709, 311, 459, 50013, 220, 23, 7501, 13, 1789, 279, 33012, 11, 1364, 3329, 11141, 1124, 449, 264, 7155, 11, 15792, 23724, 369, 279, 7474, 4038, 439, 1664, 439, 86387, 304, 85573, 27344, 627, 1271, 6106, 439, 13263, 459, 842, 2027, 439, 3284, 11, 279, 39640, 505, 5370, 293, 3916, 374, 55645, 13, 1115, 19159, 810, 14113, 17910, 8244, 627, 791, 7257, 11, 477, 3451, 15893, 521, 529, 39640, 374, 1243, 38593, 304, 264, 4101, 315, 24794, 315, 4106, 3090, 323, 91234, 13, 49386, 439, 70355, 287, 11, 420, 1920, 29260, 904, 88959, 11, 32462, 11, 32720, 28566, 477, 3451, 82, 2557, 20182, 323, 26351, 779, 433, 753, 5644, 311, 387, 15590, 13, 1102, 753, 1243, 32720, 13, 2522, 414, 287, 1101, 6276, 369, 279, 4526, 315, 31791, 37737, 11, 279, 5933, 5707, 6367, 291, 555, 33012, 311, 6144, 872, 39640, 13, 1115, 374, 28532, 323, 4529, 369, 8863, 18403, 13, 578, 39640, 2643, 1101, 387, 12782, 4147, 311, 4148, 7951, 5544, 11, 19595, 477, 1023, 36581, 5030, 13, 1115, 374, 2884, 449, 83778, 324, 292, 13935, 627, 5889, 287, 18065, 23062, 279, 69203, 39640, 16178, 417, 1555, 89713, 449, 7060, 9501, 18311, 311, 5398, 1124, 323, 4148, 904, 33247, 3242, 38333, 13, 1115, 1920, 1101, 3727, 279, 16178, 417, 8579, 323, 68661, 13, 578, 39640, 649, 1457, 387, 10839, 304, 1403, 2204, 5627, 25, 320, 16, 8, 27653, 1139, 264, 3254, 11, 13365, 86, 13539, 1776, 1553, 369, 12047, 291, 38960, 26, 477, 320, 17, 8, 6859, 1139, 15376, 11, 38817, 31022, 477, 3451, 3306, 21340, 826, 529, 369, 24670, 33389, 38960, 13, 763, 3878, 315, 3451, 5269, 374, 39640, 1903, 20182, 1070, 527, 1120, 264, 2478, 810, 7504, 311, 733, 627, 791, 5933, 2027, 374, 4661, 24121, 4251, 719, 39640, 374, 1633, 4228, 311, 54631, 439, 433, 374, 18182, 35406, 306, 13, 1102, 374, 85177, 304, 50937, 3090, 449, 279, 54631, 323, 2163, 311, 61792, 369, 264, 1418, 323, 279, 39640, 690, 3820, 709, 279, 12745, 315, 279, 54631, 627, 3947, 527, 264, 1396, 315, 1620, 16346, 304, 279, 1920, 315, 1268, 39640, 374, 1903, 2737, 2539, 287, 11, 49001, 279, 39640, 374, 78308, 304, 3090, 311, 958, 1039, 279, 3927, 16178, 417, 26, 60512, 7278, 11, 902, 374, 6376, 279, 958, 25656, 16178, 417, 31859, 26, 323, 30000, 60267, 287, 279, 13354, 11, 3967, 439, 1654, 1113, 627, 4438, 816, 1923, 374, 19332, 198, 1271, 4320, 3451, 5269, 374, 39347, 1903, 20182, 433, 753, 3062, 311, 8417, 1063, 1401, 12062, 1990, 39640, 323, 39347, 13, 47400, 374, 264, 5933, 57525, 430, 374, 12457, 505, 10099, 11, 1418, 39347, 374, 264, 893, 27975, 4617, 477, 42589, 315, 16178, 417, 13, 816, 1923, 649, 387, 1903, 505, 264, 8205, 315, 7384, 11, 2737, 5933, 16178, 417, 1778, 439, 24428, 11, 439, 1664, 439, 28367, 6305, 1093, 59741, 323, 52155, 13, 763, 420, 2937, 11, 584, 3207, 38936, 1268, 433, 753, 1903, 505, 39640, 13, 47400, 374, 1903, 1139, 39347, 555, 38960, 13, 2684, 527, 1403, 1925, 4595, 315, 57585, 39640, 512, 12, 28357, 33389, 39347, 25, 28357, 33389, 38960, 27983, 59884, 39347, 82, 449, 264, 781, 24332, 68608, 11, 10728, 369, 72899, 627, 12, 36636, 24836, 39347, 25, 1115, 19159, 65355, 11, 73886, 39347, 82, 449, 264, 11113, 11, 10508, 68608, 11, 4832, 369, 3339, 15447, 1778, 439, 29076, 323, 23087, 2396, 627, 98291, 1789, 3165, 20353, 198, 791, 39640, 1776, 21340, 826, 656, 539, 1397, 904, 4726, 47979, 323, 649, 733, 311, 279, 38960, 10474, 13, 4452, 11, 1070, 527, 264, 2478, 5066, 7504, 1603, 39640, 649, 387, 12047, 291, 13, 5629, 11, 279, 39640, 1776, 1553, 374, 41398, 323, 27210, 555, 1694, 5946, 1555, 264, 15376, 26711, 315, 9501, 18311, 304, 264, 1920, 2663, 342, 9585, 1603, 1694, 470, 2788, 1990, 7060, 4791, 8942, 291, 89713, 13, 1115, 29260, 2875, 16178, 417, 323, 904, 9861, 88959, 13, 1102, 753, 1243, 68461, 1524, 810, 11, 3339, 433, 1139, 264, 7060, 1776, 1553, 3967, 439, 264, 938, 4504, 13, 8442, 1243, 649, 433, 387, 12047, 23032, 359, 627, 44566, 38960, 374, 279, 1455, 4279, 1749, 315, 38960, 39347, 13, 1102, 374, 264, 19815, 1920, 430, 5829, 264, 10264, 38960, 5780, 311, 27744, 3871, 49774, 311, 1893, 264, 42589, 315, 39347, 13, 22249, 38960, 12933, 527, 24306, 315, 3892, 5596, 11, 2737, 264, 38960, 10264, 11, 264, 86294, 11, 323, 264, 99291, 13, 578, 38960, 10264, 374, 264, 42902, 9501, 10264, 430, 279, 86294, 11031, 2212, 13, 578, 86294, 374, 264, 2678, 9501, 13668, 449, 10707, 10296, 389, 1202, 7479, 13, 578, 99291, 374, 264, 1317, 11, 15792, 21236, 430, 374, 12673, 311, 279, 86294, 323, 374, 1511, 311, 27744, 279, 16178, 417, 3871, 627, 5451, 11, 279, 38960, 13587, 374, 1511, 311, 27744, 279, 16178, 417, 3871, 311, 1893, 264, 3254, 42589, 315, 39347, 13, 1115, 42589, 374, 1243, 27653, 8800, 264, 36292, 7006, 477, 264, 8518, 24074, 13, 393, 6852, 279, 39347, 374, 279, 1828, 3094, 304, 279, 1920, 13, 1115, 18065, 4737, 1403, 477, 810, 69864, 315, 39347, 323, 80654, 1124, 3871, 13, 1115, 11705, 264, 16643, 323, 810, 27220, 39347, 13, 578, 1566, 3094, 304, 279, 1920, 374, 25270, 279, 39347, 13, 1115, 18065, 7999, 264, 27744, 311, 279, 39347, 311, 1520, 2567, 433, 505, 41480, 402, 6427, 13, 1115, 1101, 11621, 264, 64230, 2733, 311, 279, 39347, 627, 1687, 2370, 323, 13934, 15154, 198, 1688, 420, 6566, 11, 279, 39347, 374, 5644, 311, 387, 6216, 323, 6656, 1139, 4205, 505, 77305, 11, 23087, 2396, 11, 29076, 477, 40086, 13, 2582, 433, 2643, 387, 6656, 1139, 25112, 315, 13354, 369, 11401, 26897, 311, 1893, 279, 5652, 8415, 19599, 14769, 627, 4897, 753, 3403, 12704, 1113, 369, 1457, 13, 1226, 4070, 20037, 1057, 14971, 2212, 5370, 13650, 304, 279, 2115, 315, 1268, 39640, 374, 1903, 11, 36864, 4395, 505, 3451, 5269, 656, 814, 1304, 39640, 304, 264, 8803, 529, 311, 3451, 5269, 374, 39347, 1903, 24535, 4212, 311, 1797, 33012, 13, 128001, 128000, 70429, 11, 297, 20043, 3697, 315, 279, 4612, 315, 18587, 328, 83403, 0, 578, 17535, 9274, 27315, 753, 18273, 34596, 17843, 6916, 690, 8935, 505, 264, 3799, 13, 220, 18, 58384, 21497, 315, 279, 2883, 753, 220, 1049, 19, 19036, 17768, 27875, 57105, 315, 328, 83403, 323, 3842, 1226, 307, 1543, 753, 1054, 5733, 395, 1354, 2029, 34221, 20199, 21750, 11, 61703, 507, 529, 39, 548, 11, 19412, 735, 664, 16438, 11, 88701, 9489, 29492, 323, 8096, 356, 2906, 285, 527, 4315, 279, 13758, 490, 13649, 388, 26, 279, 2539, 6445, 690, 387, 1203, 13, 3011, 5788, 574, 13517, 13847, 369, 220, 1049, 16, 719, 574, 1156, 354, 2454, 304, 279, 1772, 12, 24, 14, 806, 10182, 315, 8850, 13, 1472, 4805, 5406, 430, 11, 420, 1060, 11, 279, 6453, 18273, 922, 549, 815, 13, 13621, 26816, 12922, 374, 1694, 5762, 1306, 279, 6355, 13, 7570, 3582, 279, 6023, 315, 264, 597, 1982, 4737, 264, 6689, 374, 2744, 449, 603, 627, 128001 ]
[ -100, 3915, 85979, 12688, 45526, 323, 7940, 388, 311, 27188, 14887, 291, 323, 43828, 89341, 11, 39640, 374, 264, 5933, 57525, 430, 13912, 33012, 8369, 304, 279, 12688, 323, 7155, 304, 279, 7474, 13, 2030, 1550, 499, 1440, 39640, 1101, 4131, 505, 6730, 2053, 11, 9507, 29189, 11, 453, 46051, 300, 323, 1524, 71932, 5380, 2181, 753, 47519, 323, 31785, 311, 9193, 1579, 9499, 323, 264, 555, 29745, 2663, 31791, 37737, 1389, 1101, 3967, 439, 39640, 37123, 1389, 374, 13882, 1511, 304, 13444, 3956, 11, 19588, 293, 7828, 11, 54494, 1821, 11, 30077, 45129, 323, 1524, 439, 264, 41394, 369, 9501, 311, 5471, 23941, 13, 47400, 374, 832, 315, 279, 1455, 33045, 7384, 389, 9420, 627, 4518, 389, 311, 1505, 704, 1268, 39640, 374, 1903, 439, 1664, 439, 42687, 279, 11503, 311, 279, 4860, 3451, 5269, 656, 814, 1304, 39640, 304, 264, 8803, 14336, 323, 3451, 5269, 374, 39347, 1903, 123956, 54, 1786, 482, 362, 3005, 1636, 11346, 198, 10438, 3411, 1139, 3451, 5269, 374, 39640, 9124, 20182, 433, 753, 5922, 3411, 520, 1202, 3925, 13, 66094, 527, 3463, 311, 617, 1176, 13018, 660, 33012, 2212, 220, 806, 11, 931, 1667, 4227, 13, 1666, 369, 279, 24417, 39640, 17895, 3596, 1766, 11, 420, 706, 1027, 30105, 311, 1990, 220, 3443, 15, 323, 220, 3101, 15, 18531, 627, 1383, 220, 1041, 15, 18531, 279, 8013, 323, 15506, 1051, 4606, 753, 6156, 39640, 24190, 13, 1102, 574, 6216, 439, 264, 38983, 520, 8753, 6696, 282, 4825, 304, 279, 12877, 50093, 11, 505, 1405, 433, 9041, 6957, 4606, 323, 9778, 1139, 5270, 627, 2520, 9214, 315, 1667, 11, 39640, 5788, 574, 2884, 555, 1450, 13, 2030, 279, 4320, 311, 3451, 5269, 374, 39640, 1903, 529, 5614, 29057, 304, 279, 220, 10967, 15, 82, 449, 279, 28229, 315, 279, 38960, 503, 18314, 13, 1115, 30191, 5780, 4661, 3254, 37240, 398, 13076, 4147, 66638, 30847, 627, 15724, 11, 39640, 374, 264, 3728, 11, 7447, 70173, 31123, 5064, 1511, 369, 4395, 505, 17895, 323, 5105, 365, 5518, 311, 5222, 16157, 287, 323, 15580, 65712, 627, 4516, 11, 1268, 1587, 682, 430, 39640, 2586, 311, 3157, 30, 2650, 656, 814, 1304, 39640, 304, 264, 8803, 30, 1472, 1389, 10035, 37990, 68, 1389, 527, 922, 311, 1505, 704, 627, 791, 56180, 28232, 47400, 323, 816, 1923, 198, 10438, 38936, 1268, 39640, 374, 1903, 323, 36864, 3451, 5269, 374, 39347, 1903, 20182, 433, 753, 3062, 311, 8417, 1063, 1401, 12062, 1990, 1521, 1403, 7384, 13, 47400, 374, 264, 5933, 57525, 430, 374, 12457, 505, 10099, 11, 1418, 39347, 374, 264, 893, 27975, 4617, 477, 42589, 315, 16178, 417, 13, 816, 1923, 649, 387, 1903, 505, 264, 8205, 315, 7384, 11, 2737, 5933, 16178, 417, 1778, 439, 39640, 323, 24428, 11, 439, 1664, 439, 28367, 16178, 417, 1093, 59741, 323, 52155, 627, 54, 1786, 374, 6118, 59884, 323, 1080, 10642, 1109, 39347, 11, 323, 649, 387, 810, 11646, 13, 816, 1923, 11, 389, 279, 1023, 1450, 11, 374, 11383, 65355, 323, 61405, 1109, 39640, 323, 6118, 2753, 11646, 627, 4438, 47400, 374, 19332, 505, 84008, 198, 4438, 374, 39640, 9124, 30, 578, 18475, 505, 264, 33012, 753, 23724, 311, 17895, 374, 264, 7447, 30308, 1920, 11, 505, 33012, 10177, 894, 311, 279, 15266, 315, 1620, 3956, 13, 578, 1176, 3094, 304, 279, 5788, 315, 39640, 374, 33012, 10177, 894, 627, 11769, 10683, 11, 33012, 20957, 65344, 872, 49816, 449, 8987, 55618, 9249, 24788, 1105, 430, 4148, 279, 56737, 304, 832, 6710, 13, 4314, 649, 17988, 709, 311, 459, 50013, 220, 23, 7501, 13, 1789, 279, 33012, 11, 1364, 3329, 11141, 1124, 449, 264, 7155, 11, 15792, 23724, 369, 279, 7474, 4038, 439, 1664, 439, 86387, 304, 85573, 27344, 627, 1271, 6106, 439, 13263, 459, 842, 2027, 439, 3284, 11, 279, 39640, 505, 5370, 293, 3916, 374, 55645, 13, 1115, 19159, 810, 14113, 17910, 8244, 627, 791, 7257, 11, 477, 3451, 15893, 521, 529, 39640, 374, 1243, 38593, 304, 264, 4101, 315, 24794, 315, 4106, 3090, 323, 91234, 13, 49386, 439, 70355, 287, 11, 420, 1920, 29260, 904, 88959, 11, 32462, 11, 32720, 28566, 477, 3451, 82, 2557, 20182, 323, 26351, 779, 433, 753, 5644, 311, 387, 15590, 13, 1102, 753, 1243, 32720, 13, 2522, 414, 287, 1101, 6276, 369, 279, 4526, 315, 31791, 37737, 11, 279, 5933, 5707, 6367, 291, 555, 33012, 311, 6144, 872, 39640, 13, 1115, 374, 28532, 323, 4529, 369, 8863, 18403, 13, 578, 39640, 2643, 1101, 387, 12782, 4147, 311, 4148, 7951, 5544, 11, 19595, 477, 1023, 36581, 5030, 13, 1115, 374, 2884, 449, 83778, 324, 292, 13935, 627, 5889, 287, 18065, 23062, 279, 69203, 39640, 16178, 417, 1555, 89713, 449, 7060, 9501, 18311, 311, 5398, 1124, 323, 4148, 904, 33247, 3242, 38333, 13, 1115, 1920, 1101, 3727, 279, 16178, 417, 8579, 323, 68661, 13, 578, 39640, 649, 1457, 387, 10839, 304, 1403, 2204, 5627, 25, 320, 16, 8, 27653, 1139, 264, 3254, 11, 13365, 86, 13539, 1776, 1553, 369, 12047, 291, 38960, 26, 477, 320, 17, 8, 6859, 1139, 15376, 11, 38817, 31022, 477, 3451, 3306, 21340, 826, 529, 369, 24670, 33389, 38960, 13, 763, 3878, 315, 3451, 5269, 374, 39640, 1903, 20182, 1070, 527, 1120, 264, 2478, 810, 7504, 311, 733, 627, 791, 5933, 2027, 374, 4661, 24121, 4251, 719, 39640, 374, 1633, 4228, 311, 54631, 439, 433, 374, 18182, 35406, 306, 13, 1102, 374, 85177, 304, 50937, 3090, 449, 279, 54631, 323, 2163, 311, 61792, 369, 264, 1418, 323, 279, 39640, 690, 3820, 709, 279, 12745, 315, 279, 54631, 627, 3947, 527, 264, 1396, 315, 1620, 16346, 304, 279, 1920, 315, 1268, 39640, 374, 1903, 2737, 2539, 287, 11, 49001, 279, 39640, 374, 78308, 304, 3090, 311, 958, 1039, 279, 3927, 16178, 417, 26, 60512, 7278, 11, 902, 374, 6376, 279, 958, 25656, 16178, 417, 31859, 26, 323, 30000, 60267, 287, 279, 13354, 11, 3967, 439, 1654, 1113, 627, 4438, 816, 1923, 374, 19332, 198, 1271, 4320, 3451, 5269, 374, 39347, 1903, 20182, 433, 753, 3062, 311, 8417, 1063, 1401, 12062, 1990, 39640, 323, 39347, 13, 47400, 374, 264, 5933, 57525, 430, 374, 12457, 505, 10099, 11, 1418, 39347, 374, 264, 893, 27975, 4617, 477, 42589, 315, 16178, 417, 13, 816, 1923, 649, 387, 1903, 505, 264, 8205, 315, 7384, 11, 2737, 5933, 16178, 417, 1778, 439, 24428, 11, 439, 1664, 439, 28367, 6305, 1093, 59741, 323, 52155, 13, 763, 420, 2937, 11, 584, 3207, 38936, 1268, 433, 753, 1903, 505, 39640, 13, 47400, 374, 1903, 1139, 39347, 555, 38960, 13, 2684, 527, 1403, 1925, 4595, 315, 57585, 39640, 512, 12, 28357, 33389, 39347, 25, 28357, 33389, 38960, 27983, 59884, 39347, 82, 449, 264, 781, 24332, 68608, 11, 10728, 369, 72899, 627, 12, 36636, 24836, 39347, 25, 1115, 19159, 65355, 11, 73886, 39347, 82, 449, 264, 11113, 11, 10508, 68608, 11, 4832, 369, 3339, 15447, 1778, 439, 29076, 323, 23087, 2396, 627, 98291, 1789, 3165, 20353, 198, 791, 39640, 1776, 21340, 826, 656, 539, 1397, 904, 4726, 47979, 323, 649, 733, 311, 279, 38960, 10474, 13, 4452, 11, 1070, 527, 264, 2478, 5066, 7504, 1603, 39640, 649, 387, 12047, 291, 13, 5629, 11, 279, 39640, 1776, 1553, 374, 41398, 323, 27210, 555, 1694, 5946, 1555, 264, 15376, 26711, 315, 9501, 18311, 304, 264, 1920, 2663, 342, 9585, 1603, 1694, 470, 2788, 1990, 7060, 4791, 8942, 291, 89713, 13, 1115, 29260, 2875, 16178, 417, 323, 904, 9861, 88959, 13, 1102, 753, 1243, 68461, 1524, 810, 11, 3339, 433, 1139, 264, 7060, 1776, 1553, 3967, 439, 264, 938, 4504, 13, 8442, 1243, 649, 433, 387, 12047, 23032, 359, 627, 44566, 38960, 374, 279, 1455, 4279, 1749, 315, 38960, 39347, 13, 1102, 374, 264, 19815, 1920, 430, 5829, 264, 10264, 38960, 5780, 311, 27744, 3871, 49774, 311, 1893, 264, 42589, 315, 39347, 13, 22249, 38960, 12933, 527, 24306, 315, 3892, 5596, 11, 2737, 264, 38960, 10264, 11, 264, 86294, 11, 323, 264, 99291, 13, 578, 38960, 10264, 374, 264, 42902, 9501, 10264, 430, 279, 86294, 11031, 2212, 13, 578, 86294, 374, 264, 2678, 9501, 13668, 449, 10707, 10296, 389, 1202, 7479, 13, 578, 99291, 374, 264, 1317, 11, 15792, 21236, 430, 374, 12673, 311, 279, 86294, 323, 374, 1511, 311, 27744, 279, 16178, 417, 3871, 627, 5451, 11, 279, 38960, 13587, 374, 1511, 311, 27744, 279, 16178, 417, 3871, 311, 1893, 264, 3254, 42589, 315, 39347, 13, 1115, 42589, 374, 1243, 27653, 8800, 264, 36292, 7006, 477, 264, 8518, 24074, 13, 393, 6852, 279, 39347, 374, 279, 1828, 3094, 304, 279, 1920, 13, 1115, 18065, 4737, 1403, 477, 810, 69864, 315, 39347, 323, 80654, 1124, 3871, 13, 1115, 11705, 264, 16643, 323, 810, 27220, 39347, 13, 578, 1566, 3094, 304, 279, 1920, 374, 25270, 279, 39347, 13, 1115, 18065, 7999, 264, 27744, 311, 279, 39347, 311, 1520, 2567, 433, 505, 41480, 402, 6427, 13, 1115, 1101, 11621, 264, 64230, 2733, 311, 279, 39347, 627, 1687, 2370, 323, 13934, 15154, 198, 1688, 420, 6566, 11, 279, 39347, 374, 5644, 311, 387, 6216, 323, 6656, 1139, 4205, 505, 77305, 11, 23087, 2396, 11, 29076, 477, 40086, 13, 2582, 433, 2643, 387, 6656, 1139, 25112, 315, 13354, 369, 11401, 26897, 311, 1893, 279, 5652, 8415, 19599, 14769, 627, 4897, 753, 3403, 12704, 1113, 369, 1457, 13, 1226, 4070, 20037, 1057, 14971, 2212, 5370, 13650, 304, 279, 2115, 315, 1268, 39640, 374, 1903, 11, 36864, 4395, 505, 3451, 5269, 656, 814, 1304, 39640, 304, 264, 8803, 529, 311, 3451, 5269, 374, 39347, 1903, 24535, 4212, 311, 1797, 33012, 13, 128001, -100, 70429, 11, 297, 20043, 3697, 315, 279, 4612, 315, 18587, 328, 83403, 0, 578, 17535, 9274, 27315, 753, 18273, 34596, 17843, 6916, 690, 8935, 505, 264, 3799, 13, 220, 18, 58384, 21497, 315, 279, 2883, 753, 220, 1049, 19, 19036, 17768, 27875, 57105, 315, 328, 83403, 323, 3842, 1226, 307, 1543, 753, 1054, 5733, 395, 1354, 2029, 34221, 20199, 21750, 11, 61703, 507, 529, 39, 548, 11, 19412, 735, 664, 16438, 11, 88701, 9489, 29492, 323, 8096, 356, 2906, 285, 527, 4315, 279, 13758, 490, 13649, 388, 26, 279, 2539, 6445, 690, 387, 1203, 13, 3011, 5788, 574, 13517, 13847, 369, 220, 1049, 16, 719, 574, 1156, 354, 2454, 304, 279, 1772, 12, 24, 14, 806, 10182, 315, 8850, 13, 1472, 4805, 5406, 430, 11, 420, 1060, 11, 279, 6453, 18273, 922, 549, 815, 13, 13621, 26816, 12922, 374, 1694, 5762, 1306, 279, 6355, 13, 7570, 3582, 279, 6023, 315, 264, 597, 1982, 4737, 264, 6689, 374, 2744, 449, 603, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162 ]
[ 128000, 49213, 819, 5220, 617, 10534, 264, 22531, 304, 62542, 24455, 304, 279, 3347, 1403, 1667, 11, 4184, 311, 264, 502, 10795, 627, 20027, 58818, 612, 13566, 596, 3728, 2038, 4868, 10795, 6821, 430, 62542, 24455, 617, 41482, 555, 7154, 220, 966, 4080, 304, 279, 1566, 1403, 1667, 627, 791, 10795, 86890, 8009, 5687, 17985, 323, 17432, 439, 279, 1455, 21420, 5353, 11, 449, 21516, 8951, 20034, 520, 39098, 828, 323, 87843, 6067, 279, 1455, 4279, 11384, 369, 4747, 627, 791, 10795, 11, 902, 574, 13375, 4315, 220, 16, 11, 24939, 3728, 29509, 11, 2737, 220, 4370, 304, 14990, 11, 1766, 430, 4661, 2380, 704, 315, 3116, 18088, 29533, 1047, 10534, 264, 330, 91645, 1, 62542, 10672, 927, 279, 1566, 1403, 1667, 627, 2028, 7216, 43565, 311, 220, 3226, 4080, 31550, 627, 1959, 4376, 320, 2131, 4080, 8, 315, 18088, 29509, 49098, 1071, 430, 814, 4510, 872, 22139, 374, 17821, 311, 11388, 264, 27877, 3440, 389, 872, 2626, 627, 1383, 13168, 11, 1193, 264, 4948, 315, 29509, 31550, 2019, 279, 1890, 627, 8142, 220, 2614, 4080, 315, 18088, 9873, 2019, 430, 814, 617, 459, 10672, 2077, 3197, 11, 1403, 3502, 36399, 320, 2983, 4080, 8, 617, 912, 17320, 2077, 8446, 369, 264, 5199, 21516, 3440, 16239, 828, 30485, 323, 220, 868, 4080, 1071, 430, 814, 1047, 912, 31471, 18468, 23099, 36734, 627, 791, 3495, 1101, 1766, 430, 279, 25375, 315, 21516, 8276, 374, 810, 46941, 304, 14990, 1109, 18403, 11, 449, 7154, 1403, 3502, 36399, 320, 2137, 4080, 8, 18088, 34281, 2736, 3515, 21516, 8276, 323, 264, 4726, 832, 3502, 36399, 320, 508, 4080, 8, 22815, 3411, 369, 8475, 3504, 627, 791, 74210, 612, 13566, 1934, 574, 4756, 311, 72359, 449, 279, 8736, 315, 469, 56, 596, 13945, 17626, 11084, 4868, 12541, 304, 33977, 13, 128001, 128000, 10086, 362, 88298, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 14710, 3039, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 12, 12220, 5165, 97302, 9601, 19961, 11, 1561, 89273, 12540, 20474, 330, 16, 369, 220, 23, 1, 1198, 220, 16, 10995, 4418, 269, 3053, 10467, 3216, 311, 220, 23, 40495, 198, 12, 2650, 24191, 3234, 1472, 29308, 14521, 922, 10995, 78330, 5380, 12, 1561, 452, 24453, 299, 36781, 14681, 41559, 520, 1561, 100077, 9483, 417, 80436, 11547, 74170, 3907, 13235, 5955, 198, 12, 1561, 26945, 62255, 13539, 45546, 369, 32666, 3520, 26211, 1443, 785, 311, 53253, 36233, 4212, 323, 10928, 268, 35761, 22891, 315, 48190, 198, 12, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 13235, 5955, 33292, 988, 4149, 21494, 6826, 596, 220, 1135, 23116, 315, 65863, 288, 2370, 13346, 198, 12, 9220, 1561, 99871, 14829, 46085, 520, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 198, 28528, 323, 33135, 70544, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 96830, 8471, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 12, 51378, 459, 10995, 4418, 269, 198, 12, 53689, 323, 4060, 91153, 2508, 198, 12, 40388, 323, 53286, 198, 12, 28929, 11, 350, 11407, 11, 19048, 78330, 198, 12, 32666, 3520, 4149, 21494, 198, 12, 19048, 4418, 269, 4149, 64805, 198, 12, 6344, 57565, 48190, 369, 4078, 220, 17, 53689, 198, 12, 10995, 78330, 198, 12, 10995, 78330, 46083, 198, 12, 10995, 4149, 21494, 8773, 198, 12, 95936, 4149, 64805, 198, 12, 35011, 323, 9479, 40961, 198, 12, 14094, 278, 323, 36684, 1992, 292, 1676, 18080, 31974, 198, 12, 578, 48190, 198, 12, 4149, 21494, 367, 198, 12, 4149, 21494, 367, 8483, 198, 12, 549, 299, 36781, 198, 45, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 86245, 449, 6485, 39042, 19338, 323, 577, 299, 25205, 4787, 649, 1505, 279, 2539, 2134, 315, 6514, 2671, 520, 1561, 100077, 9483, 417, 80436, 15429, 13, 15429, 627, 12, 452, 24453, 299, 36781, 11, 1561, 100077, 9483, 417, 80436, 11547, 74170, 198, 12, 54586, 198, 7, 11227, 8, 220, 13364, 12, 13817, 18, 198, 12, 452, 24453, 299, 36781, 11, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 198, 12, 54586, 198, 7, 11227, 8, 220, 25594, 12, 17147, 15, 128001, 128000, 1966, 264, 2579, 20858, 220, 17, 220, 18, 14, 19, 15271, 320, 21, 13, 1484, 10166, 8, 304, 2673, 11, 264, 2840, 1814, 323, 99220, 304, 4251, 13, 362, 3776, 5769, 1672, 17890, 330, 58261, 85595, 4031, 1, 304, 14071, 12197, 374, 24634, 7214, 3485, 279, 17308, 37253, 54127, 689, 13, 320, 51, 3895, 39, 423, 46640, 13, 2360, 13, 362, 12, 16, 12, 2166, 340, 791, 2840, 1814, 323, 99220, 4097, 279, 70863, 9131, 315, 279, 7471, 627, 791, 17308, 37253, 54127, 689, 574, 12054, 369, 279, 6690, 32096, 7498, 389, 220, 1313, 5587, 220, 6393, 18, 13, 578, 7498, 574, 56719, 660, 279, 6690, 32096, 5955, 7524, 220, 16, 5587, 220, 6393, 19, 13, 2360, 4033, 56719, 367, 6661, 315, 279, 54127, 689, 574, 5439, 26, 4869, 11, 279, 15266, 13633, 369, 279, 54127, 689, 574, 32828, 449, 279, 5369, 315, 459, 70863, 5769, 369, 279, 6690, 32096, 5955, 13, 578, 6690, 32096, 5955, 574, 94544, 6601, 323, 279, 54127, 689, 574, 13208, 17003, 389, 220, 1682, 6186, 220, 6393, 22, 13, 1952, 220, 605, 5936, 220, 6280, 17, 11, 279, 54127, 689, 574, 69767, 660, 439, 279, 6690, 32096, 7498, 369, 10051, 555, 3738, 87804, 1056, 333, 291, 8316, 13, 578, 54127, 689, 574, 1578, 13208, 17003, 389, 220, 1691, 6186, 220, 6280, 24, 13, 128001, 128000, 33, 283, 42109, 1764, 5165, 5657, 31183, 220, 1399, 13437, 10007, 315, 328, 12558, 31054, 89, 307, 11105, 264, 5016, 26031, 304, 77935, 11, 279, 54832, 315, 279, 6246, 1694, 98731, 304, 902, 11916, 28139, 436, 723, 12699, 13980, 304, 15360, 449, 3700, 575, 385, 936, 1208, 5230, 343, 460, 13, 578, 31054, 42109, 1764, 5165, 5657, 11815, 3892, 9606, 2737, 18288, 36895, 23815, 10746, 523, 894, 9258, 295, 437, 11, 445, 4992, 43961, 23718, 1030, 6160, 2227, 59344, 11, 84135, 287, 90084, 36772, 418, 454, 37029, 6252, 62421, 87778, 11, 2405, 82297, 753, 36895, 74795, 426, 97219, 439, 5531, 1366, 355, 11, 3816, 96533, 291, 13120, 19571, 8171, 6417, 56099, 355, 436, 1739, 292, 980, 285, 11, 99257, 788, 33234, 392, 11151, 677, 258, 356, 3035, 354, 14172, 300, 15730, 533, 6429, 11, 73934, 784, 1291, 753, 3816, 2527, 2405, 16355, 292, 56266, 54409, 784, 55039, 11, 3816, 3880, 61292, 33104, 349, 277, 507, 62941, 1820, 4647, 30279, 11, 48550, 58545, 426, 12806, 1565, 8877, 67, 590, 288, 5716, 6723, 323, 16642, 26769, 1443, 41752, 445, 5676, 355, 4809, 307, 4001, 285, 627, 5001, 531, 14739, 8329, 315, 622, 336, 3458, 11, 24855, 307, 1764, 11, 22547, 323, 2563, 307, 6672, 527, 264, 2678, 74975, 18710, 31183, 304, 279, 17440, 89, 5654, 11, 23712, 555, 297, 2315, 323, 9462, 1773, 8699, 11, 902, 3412, 1690, 9606, 2737, 67142, 88, 358, 54681, 393, 1978, 329, 285, 282, 17356, 258, 616, 355, 11, 432, 35017, 1443, 789, 1983, 350, 329, 34364, 58139, 773, 35518, 11, 2947, 38759, 2722, 278, 386, 2227, 13055, 27625, 6590, 592, 8869, 496, 285, 11, 29042, 3715, 788, 46870, 24852, 339, 7911, 19541, 299, 936, 11, 30800, 20024, 21020, 6377, 805, 29167, 9334, 8291, 11, 33589, 13120, 19571, 8171, 6417, 56099, 355, 264, 797, 88, 418, 9334, 11, 33381, 17723, 454, 4748, 8288, 847, 89762, 7439, 453, 8039, 9100, 11, 5929, 1824, 45184, 5348, 33104, 349, 277, 507, 62941, 1820, 514, 1791, 1289, 6885, 11, 5348, 5773, 1636, 33104, 349, 277, 507, 13, 813, 857, 3074, 11, 3816, 3880, 61292, 33104, 349, 277, 507, 13, 4647, 30279, 323, 43286, 33104, 349, 277, 507, 13, 24521, 72, 13, 128001 ]
[ -100, 49213, 819, 5220, 617, 10534, 264, 22531, 304, 62542, 24455, 304, 279, 3347, 1403, 1667, 11, 4184, 311, 264, 502, 10795, 627, 20027, 58818, 612, 13566, 596, 3728, 2038, 4868, 10795, 6821, 430, 62542, 24455, 617, 41482, 555, 7154, 220, 966, 4080, 304, 279, 1566, 1403, 1667, 627, 791, 10795, 86890, 8009, 5687, 17985, 323, 17432, 439, 279, 1455, 21420, 5353, 11, 449, 21516, 8951, 20034, 520, 39098, 828, 323, 87843, 6067, 279, 1455, 4279, 11384, 369, 4747, 627, 791, 10795, 11, 902, 574, 13375, 4315, 220, 16, 11, 24939, 3728, 29509, 11, 2737, 220, 4370, 304, 14990, 11, 1766, 430, 4661, 2380, 704, 315, 3116, 18088, 29533, 1047, 10534, 264, 330, 91645, 1, 62542, 10672, 927, 279, 1566, 1403, 1667, 627, 2028, 7216, 43565, 311, 220, 3226, 4080, 31550, 627, 1959, 4376, 320, 2131, 4080, 8, 315, 18088, 29509, 49098, 1071, 430, 814, 4510, 872, 22139, 374, 17821, 311, 11388, 264, 27877, 3440, 389, 872, 2626, 627, 1383, 13168, 11, 1193, 264, 4948, 315, 29509, 31550, 2019, 279, 1890, 627, 8142, 220, 2614, 4080, 315, 18088, 9873, 2019, 430, 814, 617, 459, 10672, 2077, 3197, 11, 1403, 3502, 36399, 320, 2983, 4080, 8, 617, 912, 17320, 2077, 8446, 369, 264, 5199, 21516, 3440, 16239, 828, 30485, 323, 220, 868, 4080, 1071, 430, 814, 1047, 912, 31471, 18468, 23099, 36734, 627, 791, 3495, 1101, 1766, 430, 279, 25375, 315, 21516, 8276, 374, 810, 46941, 304, 14990, 1109, 18403, 11, 449, 7154, 1403, 3502, 36399, 320, 2137, 4080, 8, 18088, 34281, 2736, 3515, 21516, 8276, 323, 264, 4726, 832, 3502, 36399, 320, 508, 4080, 8, 22815, 3411, 369, 8475, 3504, 627, 791, 74210, 612, 13566, 1934, 574, 4756, 311, 72359, 449, 279, 8736, 315, 469, 56, 596, 13945, 17626, 11084, 4868, 12541, 304, 33977, 13, 128001, -100, 10086, 362, 88298, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 14710, 3039, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 12, 12220, 5165, 97302, 9601, 19961, 11, 1561, 89273, 12540, 20474, 330, 16, 369, 220, 23, 1, 1198, 220, 16, 10995, 4418, 269, 3053, 10467, 3216, 311, 220, 23, 40495, 198, 12, 2650, 24191, 3234, 1472, 29308, 14521, 922, 10995, 78330, 5380, 12, 1561, 452, 24453, 299, 36781, 14681, 41559, 520, 1561, 100077, 9483, 417, 80436, 11547, 74170, 3907, 13235, 5955, 198, 12, 1561, 26945, 62255, 13539, 45546, 369, 32666, 3520, 26211, 1443, 785, 311, 53253, 36233, 4212, 323, 10928, 268, 35761, 22891, 315, 48190, 198, 12, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 13235, 5955, 33292, 988, 4149, 21494, 6826, 596, 220, 1135, 23116, 315, 65863, 288, 2370, 13346, 198, 12, 9220, 1561, 99871, 14829, 46085, 520, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 198, 28528, 323, 33135, 70544, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 96830, 8471, 198, 5715, 311, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 8, 35907, 198, 7816, 389, 452, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 12, 51378, 459, 10995, 4418, 269, 198, 12, 53689, 323, 4060, 91153, 2508, 198, 12, 40388, 323, 53286, 198, 12, 28929, 11, 350, 11407, 11, 19048, 78330, 198, 12, 32666, 3520, 4149, 21494, 198, 12, 19048, 4418, 269, 4149, 64805, 198, 12, 6344, 57565, 48190, 369, 4078, 220, 17, 53689, 198, 12, 10995, 78330, 198, 12, 10995, 78330, 46083, 198, 12, 10995, 4149, 21494, 8773, 198, 12, 95936, 4149, 64805, 198, 12, 35011, 323, 9479, 40961, 198, 12, 14094, 278, 323, 36684, 1992, 292, 1676, 18080, 31974, 198, 12, 578, 48190, 198, 12, 4149, 21494, 367, 198, 12, 4149, 21494, 367, 8483, 198, 12, 549, 299, 36781, 198, 45, 24453, 299, 36781, 320, 99608, 3520, 31974, 340, 86245, 449, 6485, 39042, 19338, 323, 577, 299, 25205, 4787, 649, 1505, 279, 2539, 2134, 315, 6514, 2671, 520, 1561, 100077, 9483, 417, 80436, 15429, 13, 15429, 627, 12, 452, 24453, 299, 36781, 11, 1561, 100077, 9483, 417, 80436, 11547, 74170, 198, 12, 54586, 198, 7, 11227, 8, 220, 13364, 12, 13817, 18, 198, 12, 452, 24453, 299, 36781, 11, 1561, 100077, 9483, 417, 80436, 14, 1687, 484, 56819, 198, 12, 54586, 198, 7, 11227, 8, 220, 25594, 12, 17147, 15, 128001, -100, 1966, 264, 2579, 20858, 220, 17, 220, 18, 14, 19, 15271, 320, 21, 13, 1484, 10166, 8, 304, 2673, 11, 264, 2840, 1814, 323, 99220, 304, 4251, 13, 362, 3776, 5769, 1672, 17890, 330, 58261, 85595, 4031, 1, 304, 14071, 12197, 374, 24634, 7214, 3485, 279, 17308, 37253, 54127, 689, 13, 320, 51, 3895, 39, 423, 46640, 13, 2360, 13, 362, 12, 16, 12, 2166, 340, 791, 2840, 1814, 323, 99220, 4097, 279, 70863, 9131, 315, 279, 7471, 627, 791, 17308, 37253, 54127, 689, 574, 12054, 369, 279, 6690, 32096, 7498, 389, 220, 1313, 5587, 220, 6393, 18, 13, 578, 7498, 574, 56719, 660, 279, 6690, 32096, 5955, 7524, 220, 16, 5587, 220, 6393, 19, 13, 2360, 4033, 56719, 367, 6661, 315, 279, 54127, 689, 574, 5439, 26, 4869, 11, 279, 15266, 13633, 369, 279, 54127, 689, 574, 32828, 449, 279, 5369, 315, 459, 70863, 5769, 369, 279, 6690, 32096, 5955, 13, 578, 6690, 32096, 5955, 574, 94544, 6601, 323, 279, 54127, 689, 574, 13208, 17003, 389, 220, 1682, 6186, 220, 6393, 22, 13, 1952, 220, 605, 5936, 220, 6280, 17, 11, 279, 54127, 689, 574, 69767, 660, 439, 279, 6690, 32096, 7498, 369, 10051, 555, 3738, 87804, 1056, 333, 291, 8316, 13, 578, 54127, 689, 574, 1578, 13208, 17003, 389, 220, 1691, 6186, 220, 6280, 24, 13, 128001, -100, 33, 283, 42109, 1764, 5165, 5657, 31183, 220, 1399, 13437, 10007, 315, 328, 12558, 31054, 89, 307, 11105, 264, 5016, 26031, 304, 77935, 11, 279, 54832, 315, 279, 6246, 1694, 98731, 304, 902, 11916, 28139, 436, 723, 12699, 13980, 304, 15360, 449, 3700, 575, 385, 936, 1208, 5230, 343, 460, 13, 578, 31054, 42109, 1764, 5165, 5657, 11815, 3892, 9606, 2737, 18288, 36895, 23815, 10746, 523, 894, 9258, 295, 437, 11, 445, 4992, 43961, 23718, 1030, 6160, 2227, 59344, 11, 84135, 287, 90084, 36772, 418, 454, 37029, 6252, 62421, 87778, 11, 2405, 82297, 753, 36895, 74795, 426, 97219, 439, 5531, 1366, 355, 11, 3816, 96533, 291, 13120, 19571, 8171, 6417, 56099, 355, 436, 1739, 292, 980, 285, 11, 99257, 788, 33234, 392, 11151, 677, 258, 356, 3035, 354, 14172, 300, 15730, 533, 6429, 11, 73934, 784, 1291, 753, 3816, 2527, 2405, 16355, 292, 56266, 54409, 784, 55039, 11, 3816, 3880, 61292, 33104, 349, 277, 507, 62941, 1820, 4647, 30279, 11, 48550, 58545, 426, 12806, 1565, 8877, 67, 590, 288, 5716, 6723, 323, 16642, 26769, 1443, 41752, 445, 5676, 355, 4809, 307, 4001, 285, 627, 5001, 531, 14739, 8329, 315, 622, 336, 3458, 11, 24855, 307, 1764, 11, 22547, 323, 2563, 307, 6672, 527, 264, 2678, 74975, 18710, 31183, 304, 279, 17440, 89, 5654, 11, 23712, 555, 297, 2315, 323, 9462, 1773, 8699, 11, 902, 3412, 1690, 9606, 2737, 67142, 88, 358, 54681, 393, 1978, 329, 285, 282, 17356, 258, 616, 355, 11, 432, 35017, 1443, 789, 1983, 350, 329, 34364, 58139, 773, 35518, 11, 2947, 38759, 2722, 278, 386, 2227, 13055, 27625, 6590, 592, 8869, 496, 285, 11, 29042, 3715, 788, 46870, 24852, 339, 7911, 19541, 299, 936, 11, 30800, 20024, 21020, 6377, 805, 29167, 9334, 8291, 11, 33589, 13120, 19571, 8171, 6417, 56099, 355, 264, 797, 88, 418, 9334, 11, 33381, 17723, 454, 4748, 8288, 847, 89762, 7439, 453, 8039, 9100, 11, 5929, 1824, 45184, 5348, 33104, 349, 277, 507, 62941, 1820, 514, 1791, 1289, 6885, 11, 5348, 5773, 1636, 33104, 349, 277, 507, 13, 813, 857, 3074, 11, 3816, 3880, 61292, 33104, 349, 277, 507, 13, 4647, 30279, 323, 43286, 33104, 349, 277, 507, 13, 24521, 72, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361 ]
[ 128000, 5786, 38329, 25, 49431, 3735, 6310, 25180, 2057, 42239, 65, 16, 627, 44, 699, 25702, 53317, 320, 44, 11487, 8, 374, 264, 864, 31717, 258, 950, 6566, 315, 1708, 89, 21215, 388, 8624, 3611, 79308, 264, 3544, 1396, 315, 279, 29920, 6957, 279, 1917, 13, 34072, 11, 323, 49431, 3735, 6310, 25180, 311, 445, 3378, 33, 16, 13, 2794, 369, 279, 4948, 323, 11999, 41376, 3742, 315, 1521, 37493, 23730, 41829, 505, 220, 15, 13, 2166, 311, 220, 15, 13, 5728, 23246, 220, 15, 13, 2304, 570, 3341, 66728, 17390, 11, 28170, 356, 11, 323, 28170, 426, 21, 51713, 279, 8592, 29219, 8331, 2865, 826, 315, 220, 15, 13, 3534, 11, 220, 15, 13, 2721, 11, 323, 220, 15, 13, 6083, 23246, 220, 15, 13, 2304, 705, 15947, 13, 11930, 11, 6500, 1005, 11, 5403, 11, 323, 16558, 15609, 279, 1455, 29219, 19433, 9547, 320, 878, 284, 220, 15, 13, 914, 311, 220, 15, 13, 5313, 11, 366, 220, 15, 13, 2304, 705, 20444, 20149, 323, 35688, 64603, 19338, 1051, 5938, 449, 5190, 320, 878, 284, 220, 16, 13, 1272, 323, 220, 16, 13, 4767, 11, 366, 220, 15, 13, 2304, 8, 5326, 315, 386, 11487, 13, 63140, 19684, 34625, 23730, 315, 1647, 60086, 35467, 40085, 33969, 323, 39086, 1051, 12207, 5938, 449, 25983, 5326, 315, 386, 11487, 13, 763, 17102, 11, 26613, 477, 24872, 23730, 315, 95309, 332, 32930, 9508, 311, 4827, 279, 5326, 315, 386, 11487, 304, 279, 8620, 29920, 13, 763, 5369, 11, 18899, 6873, 323, 19433, 1778, 439, 5403, 11, 6500, 1005, 323, 24070, 16558, 2643, 1101, 1520, 311, 18979, 279, 5326, 315, 386, 11487, 13, 284, 220, 15, 13, 931, 16, 705, 47224, 39838, 220, 15, 13, 11194, 24, 8, 323, 34873, 315, 16558, 39838, 220, 15, 13, 11030, 23, 705, 5403, 39838, 220, 15, 13, 931, 16, 705, 323, 6500, 469, 782, 82, 472, 276, 1005, 39838, 220, 15, 13, 931, 16, 570, 31909, 11, 386, 11487, 1912, 1047, 5129, 3318, 892, 39838, 220, 15, 13, 8759, 17, 8, 323, 5190, 93144, 19025, 315, 35688, 64603, 19338, 320, 47, 12757, 82, 8, 39838, 220, 15, 13, 4119, 24, 570, 578, 12062, 315, 34625, 37493, 23730, 1990, 279, 1403, 5315, 527, 10666, 304, 6771, 949, 2620, 1313, 13, 38267, 369, 10062, 11099, 35467, 40085, 33969, 320, 6459, 37, 2170, 8, 323, 28170, 469, 11, 279, 23730, 315, 1023, 37493, 1051, 12207, 4827, 23246, 220, 15, 13, 2304, 8, 304, 386, 11487, 1912, 1109, 279, 2585, 13, 6771, 220, 16, 43551, 315, 4689, 17910, 1990, 386, 11487, 6978, 323, 19329, 275, 3210, 4725, 15223, 13, 6771, 220, 17, 43551, 315, 34625, 37493, 23730, 1990, 386, 11487, 6978, 323, 19329, 275, 3210, 4725, 15223, 13, 10229, 1990, 69256, 323, 32388, 315, 386, 11487, 763, 279, 24257, 2814, 56522, 72810, 31649, 4211, 315, 279, 8244, 6205, 6492, 11, 16558, 320, 878, 284, 220, 15, 13, 5313, 26, 220, 2721, 4, 21351, 284, 220, 15, 13, 2075, 11, 220, 15, 13, 3534, 705, 5403, 320, 878, 284, 220, 15, 13, 5332, 26, 469, 782, 82, 472, 276, 220, 2721, 4, 21351, 284, 220, 15, 13, 1399, 11, 220, 15, 13, 1954, 705, 323, 6500, 1005, 320, 878, 284, 220, 15, 13, 3226, 26, 220, 2721, 4, 21351, 284, 220, 15, 13, 2790, 11, 220, 15, 13, 2031, 8, 1051, 2753, 4461, 311, 617, 386, 11487, 320, 2620, 949, 2620, 1644, 570, 24296, 11, 7863, 449, 3428, 2237, 315, 6873, 11, 6278, 323, 1579, 5990, 315, 6873, 320, 878, 284, 220, 15, 13, 3076, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 3487, 11, 220, 15, 13, 5313, 26, 2794, 284, 220, 15, 13, 914, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 777, 11, 220, 15, 13, 1958, 8, 1051, 5938, 449, 2753, 21448, 369, 386, 11487, 13, 26982, 11, 20149, 323, 393, 12757, 1051, 5552, 449, 220, 16, 13, 1272, 320, 2721, 4, 21351, 284, 220, 16, 13, 2545, 11, 220, 16, 13, 1490, 8, 323, 220, 16, 13, 4767, 320, 2721, 4, 21351, 284, 220, 16, 13, 777, 11, 220, 17, 13, 2946, 8, 3115, 5190, 21448, 369, 386, 11487, 11, 15947, 13, 6771, 220, 18, 84457, 42338, 320, 2721, 4, 21351, 8, 369, 19433, 5552, 5326, 9547, 315, 386, 11487, 449, 2204, 5990, 315, 34074, 13, 10229, 1990, 1357, 731, 315, 83808, 18878, 32930, 323, 279, 32388, 315, 386, 11487, 83808, 23730, 315, 5370, 37493, 1051, 18255, 1139, 3116, 41376, 3742, 320, 48, 16, 34, 48, 19, 8, 439, 70636, 7482, 320, 2620, 949, 2620, 2096, 570, 3277, 584, 9435, 72810, 31649, 6492, 311, 7652, 369, 4754, 2389, 801, 388, 323, 3952, 279, 41376, 458, 315, 50123, 45968, 311, 34625, 5905, 528, 2094, 320, 7842, 3957, 11, 220, 679, 18, 14002, 8, 439, 279, 5905, 11, 13324, 449, 1229, 18, 323, 1229, 19, 315, 39086, 23730, 320, 878, 284, 220, 15, 13, 5495, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 2491, 11, 220, 15, 13, 6086, 26, 2794, 284, 220, 15, 13, 4370, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 2983, 11, 220, 15, 13, 2031, 8, 323, 1229, 19, 315, 60886, 3711, 23730, 320, 878, 284, 220, 15, 13, 2287, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 1135, 11, 220, 15, 13, 4578, 8, 8710, 4827, 15635, 315, 386, 11487, 20444, 1229, 17, 315, 60886, 3711, 23730, 320, 878, 284, 220, 16, 13, 1644, 11, 220, 2721, 4, 469, 782, 82, 472, 276, 21351, 25, 220, 16, 13, 2437, 11, 220, 16, 13, 5728, 8, 1047, 469, 782, 82, 472, 276, 459, 7319, 5326, 13, 7089, 41376, 3742, 315, 37493, 23730, 12207, 5938, 449, 386, 11487, 304, 279, 2814, 56522, 6492, 1051, 25, 1229, 16, 315, 4330, 46192, 320, 32, 11, 426, 21, 11, 426, 717, 11, 356, 11, 1841, 66728, 17390, 8, 323, 1229, 19, 315, 80087, 483, 449, 7319, 2794, 320, 16, 13, 1682, 34, 16, 13, 5925, 11, 366, 220, 15, 13, 2304, 1237, 1229, 18, 315, 28170, 426, 18, 323, 2380, 34072, 320, 44, 70, 11, 127265, 11, 323, 27560, 8, 449, 25983, 2794, 320, 15, 13, 6028, 34, 15, 13, 5728, 11, 366, 220, 15, 13, 2304, 1237, 1229, 19, 315, 11888, 46192, 320, 32, 11, 426, 16, 11, 426, 17, 11, 426, 18, 11, 426, 21, 11, 426, 717, 11, 356, 11, 282, 7918, 13935, 11, 323, 1841, 66728, 17390, 8, 323, 4848, 34072, 320, 57, 77, 11, 73693, 11, 3926, 11, 1369, 11, 27560, 11, 323, 57831, 8, 449, 4827, 2794, 320, 15, 13, 2166, 34, 15, 13, 6028, 11, 366, 220, 15, 13, 2304, 570, 6771, 220, 19, 84457, 42338, 320, 2721, 4, 21351, 8, 369, 34625, 37493, 23730, 5552, 5326, 9547, 627, 17827, 304, 25, 14496, 3252, 1144, 12633, 3640, 25, 469, 782, 82, 472, 276, 11, 49431, 3735, 6310, 25180, 311, 445, 3378, 33, 16, 13, 128001, 128000, 27, 265, 621, 373, 29, 267, 830, 276, 652, 285, 936, 14, 63014, 11843, 1771, 198, 23653, 20840, 16, 702, 3791, 7687, 20840, 17, 1875, 2, 1179, 12721, 198, 13, 20070, 22665, 2452, 271, 12527, 3791, 3108, 262, 356, 8974, 964, 20840, 16, 702, 262, 733, 636, 400, 3791, 91659, 198, 262, 13844, 30509, 8103, 20840, 3791, 91659, 10982, 3791, 7687, 702, 262, 35900, 429, 70, 38387, 1875, 262, 1722, 330, 1547, 419, 80900, 8957, 1889, 505, 400, 3791, 30509, 8103, 284, 39703, 1875, 262, 4685, 19368, 1889, 220, 15, 220, 16, 198, 262, 4685, 19368, 1889, 220, 15, 220, 17, 198, 633, 258, 43351, 3791, 3108, 262, 35900, 429, 70, 38387, 1875, 262, 97640, 78151, 262, 66444, 48583, 1151, 5018, 4209, 37899, 2381, 1365, 44441, 1084, 262, 59856, 4813, 20840, 16, 1875, 262, 1722, 330, 1547, 419, 18549, 23747, 8957, 1889, 400, 3791, 7687, 11, 389, 400, 67340, 4813, 449, 400, 9851, 26311, 284, 39703, 1875, 262, 42002, 19368, 1889, 220, 15, 220, 16, 198, 262, 42002, 19368, 1889, 220, 15, 220, 17, 198, 633, 23238, 3791, 19888, 262, 59856, 4813, 20840, 16, 702, 262, 1153, 769, 20840, 17, 702, 262, 1906, 20840, 18, 702, 262, 2851, 3266, 19, 271, 257, 68024, 4012, 48583, 29110, 2153, 4209, 59, 9075, 2153, 3479, 35433, 3, 981, 769, 35433, 3, 4075, 76204, 11444, 262, 1722, 330, 1547, 419, 19337, 10979, 3351, 25, 400, 64031, 4012, 48583, 11, 400, 3517, 11, 400, 67340, 4813, 284, 39703, 1875, 257, 8957, 1889, 18068, 220, 15, 400, 3517, 198, 633, 45330, 3791, 3108, 262, 1722, 330, 2688, 3686, 11798, 10246, 633, 333, 510, 5312, 23653, 1, 624, 330, 12527, 1, 13385, 1243, 674, 4685, 502, 1156, 198, 262, 4685, 3791, 400, 18, 198, 12740, 510, 5312, 23653, 1, 624, 330, 258, 43351, 1, 13385, 1243, 198, 262, 42002, 3791, 400, 18, 400, 19, 198, 12740, 510, 5312, 23653, 1, 624, 330, 359, 79, 7082, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 14234, 3791, 198, 12740, 510, 5312, 23653, 1, 624, 330, 23238, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 20466, 3791, 400, 18, 400, 19, 400, 20, 400, 21, 198, 12740, 510, 5312, 23653, 1, 624, 330, 1663, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 3319, 3791, 198, 10188, 128001, 128000, 59204, 25, 6287, 220, 605, 11, 220, 9714, 21, 304, 44235, 2630, 11, 13174, 198, 7, 2460, 56385, 340, 1951, 8248, 25, 5936, 220, 1682, 11, 220, 9378, 15, 320, 17166, 220, 1419, 13, 14274, 11, 220, 16, 11, 21125, 339, 304, 41217, 3925, 340, 49, 9816, 8266, 25, 1398, 95306, 31625, 13693, 2391, 220, 9378, 15, 3280, 62074, 933, 14939, 25, 32042, 2053, 220, 9378, 15, 198, 5966, 4140, 25, 6664, 220, 24, 11, 220, 9378, 15, 320, 17166, 220, 1187, 13, 15101, 340, 35, 1142, 25, 6186, 220, 508, 11, 220, 7285, 23, 304, 44235, 2630, 11, 13174, 198, 62339, 1142, 25, 78915, 59578, 11, 44235, 2630, 11, 13174, 198, 10714, 6160, 32277, 2038, 198, 1480, 30, 24702, 7694, 328, 1905, 49, 596, 38258, 8167, 7089, 26496, 9980, 2738, 916, 38258, 65473, 1543, 582, 916, 10608, 3714, 3759, 3639, 2746, 42079, 25, 74956, 7839, 13, 128001, 128000, 644, 5369, 311, 4737, 813, 1984, 704, 315, 1614, 323, 311, 279, 24051, 6406, 9540, 10554, 753, 25379, 35226, 6187, 14177, 304, 14689, 11, 3432, 584, 1505, 704, 430, 23406, 50635, 706, 11928, 459, 29788, 311, 2686, 279, 10810, 2534, 10349, 520, 872, 9974, 14177, 304, 5587, 13, 578, 10810, 2534, 10349, 374, 279, 24417, 7471, 369, 23348, 304, 279, 3723, 4273, 13, 11699, 66221, 374, 1766, 304, 1202, 304, 22498, 16250, 315, 315, 5426, 3754, 6164, 7385, 337, 32360, 19578, 11, 44402, 68802, 11, 323, 3330, 1705, 627, 34242, 4691, 311, 2686, 264, 6574, 315, 1884, 889, 6211, 279, 7446, 31186, 323, 9889, 315, 3754, 311, 279, 1274, 11, 374, 264, 1879, 430, 279, 3772, 374, 27989, 398, 8010, 315, 279, 4754, 430, 6866, 304, 279, 3284, 13621, 67260, 315, 23406, 50635, 627, 89849, 753, 24245, 706, 1027, 5115, 44040, 311, 3137, 13621, 11759, 304, 3293, 4038, 719, 1376, 279, 12365, 9899, 430, 568, 374, 6288, 10917, 3871, 11, 433, 5992, 1093, 568, 374, 9036, 287, 5678, 709, 311, 656, 779, 13, 358, 1097, 2103, 8748, 369, 430, 3682, 12365, 20392, 430, 27441, 304, 279, 4987, 13, 3011, 311, 757, 690, 387, 264, 3831, 28137, 315, 1148, 813, 5597, 922, 264, 1629, 369, 4900, 690, 387, 304, 5936, 627, 12174, 22371, 11, 439, 311, 2500, 19114, 889, 690, 387, 24096, 311, 14393, 12643, 11, 430, 690, 387, 7000, 1023, 1109, 23406, 50635, 3284, 15046, 369, 4900, 14382, 1981, 1820, 4900, 315, 279, 3723, 4273, 11, 24448, 7250, 627, 128001 ]
[ -100, 5786, 38329, 25, 49431, 3735, 6310, 25180, 2057, 42239, 65, 16, 627, 44, 699, 25702, 53317, 320, 44, 11487, 8, 374, 264, 864, 31717, 258, 950, 6566, 315, 1708, 89, 21215, 388, 8624, 3611, 79308, 264, 3544, 1396, 315, 279, 29920, 6957, 279, 1917, 13, 34072, 11, 323, 49431, 3735, 6310, 25180, 311, 445, 3378, 33, 16, 13, 2794, 369, 279, 4948, 323, 11999, 41376, 3742, 315, 1521, 37493, 23730, 41829, 505, 220, 15, 13, 2166, 311, 220, 15, 13, 5728, 23246, 220, 15, 13, 2304, 570, 3341, 66728, 17390, 11, 28170, 356, 11, 323, 28170, 426, 21, 51713, 279, 8592, 29219, 8331, 2865, 826, 315, 220, 15, 13, 3534, 11, 220, 15, 13, 2721, 11, 323, 220, 15, 13, 6083, 23246, 220, 15, 13, 2304, 705, 15947, 13, 11930, 11, 6500, 1005, 11, 5403, 11, 323, 16558, 15609, 279, 1455, 29219, 19433, 9547, 320, 878, 284, 220, 15, 13, 914, 311, 220, 15, 13, 5313, 11, 366, 220, 15, 13, 2304, 705, 20444, 20149, 323, 35688, 64603, 19338, 1051, 5938, 449, 5190, 320, 878, 284, 220, 16, 13, 1272, 323, 220, 16, 13, 4767, 11, 366, 220, 15, 13, 2304, 8, 5326, 315, 386, 11487, 13, 63140, 19684, 34625, 23730, 315, 1647, 60086, 35467, 40085, 33969, 323, 39086, 1051, 12207, 5938, 449, 25983, 5326, 315, 386, 11487, 13, 763, 17102, 11, 26613, 477, 24872, 23730, 315, 95309, 332, 32930, 9508, 311, 4827, 279, 5326, 315, 386, 11487, 304, 279, 8620, 29920, 13, 763, 5369, 11, 18899, 6873, 323, 19433, 1778, 439, 5403, 11, 6500, 1005, 323, 24070, 16558, 2643, 1101, 1520, 311, 18979, 279, 5326, 315, 386, 11487, 13, 284, 220, 15, 13, 931, 16, 705, 47224, 39838, 220, 15, 13, 11194, 24, 8, 323, 34873, 315, 16558, 39838, 220, 15, 13, 11030, 23, 705, 5403, 39838, 220, 15, 13, 931, 16, 705, 323, 6500, 469, 782, 82, 472, 276, 1005, 39838, 220, 15, 13, 931, 16, 570, 31909, 11, 386, 11487, 1912, 1047, 5129, 3318, 892, 39838, 220, 15, 13, 8759, 17, 8, 323, 5190, 93144, 19025, 315, 35688, 64603, 19338, 320, 47, 12757, 82, 8, 39838, 220, 15, 13, 4119, 24, 570, 578, 12062, 315, 34625, 37493, 23730, 1990, 279, 1403, 5315, 527, 10666, 304, 6771, 949, 2620, 1313, 13, 38267, 369, 10062, 11099, 35467, 40085, 33969, 320, 6459, 37, 2170, 8, 323, 28170, 469, 11, 279, 23730, 315, 1023, 37493, 1051, 12207, 4827, 23246, 220, 15, 13, 2304, 8, 304, 386, 11487, 1912, 1109, 279, 2585, 13, 6771, 220, 16, 43551, 315, 4689, 17910, 1990, 386, 11487, 6978, 323, 19329, 275, 3210, 4725, 15223, 13, 6771, 220, 17, 43551, 315, 34625, 37493, 23730, 1990, 386, 11487, 6978, 323, 19329, 275, 3210, 4725, 15223, 13, 10229, 1990, 69256, 323, 32388, 315, 386, 11487, 763, 279, 24257, 2814, 56522, 72810, 31649, 4211, 315, 279, 8244, 6205, 6492, 11, 16558, 320, 878, 284, 220, 15, 13, 5313, 26, 220, 2721, 4, 21351, 284, 220, 15, 13, 2075, 11, 220, 15, 13, 3534, 705, 5403, 320, 878, 284, 220, 15, 13, 5332, 26, 469, 782, 82, 472, 276, 220, 2721, 4, 21351, 284, 220, 15, 13, 1399, 11, 220, 15, 13, 1954, 705, 323, 6500, 1005, 320, 878, 284, 220, 15, 13, 3226, 26, 220, 2721, 4, 21351, 284, 220, 15, 13, 2790, 11, 220, 15, 13, 2031, 8, 1051, 2753, 4461, 311, 617, 386, 11487, 320, 2620, 949, 2620, 1644, 570, 24296, 11, 7863, 449, 3428, 2237, 315, 6873, 11, 6278, 323, 1579, 5990, 315, 6873, 320, 878, 284, 220, 15, 13, 3076, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 3487, 11, 220, 15, 13, 5313, 26, 2794, 284, 220, 15, 13, 914, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 777, 11, 220, 15, 13, 1958, 8, 1051, 5938, 449, 2753, 21448, 369, 386, 11487, 13, 26982, 11, 20149, 323, 393, 12757, 1051, 5552, 449, 220, 16, 13, 1272, 320, 2721, 4, 21351, 284, 220, 16, 13, 2545, 11, 220, 16, 13, 1490, 8, 323, 220, 16, 13, 4767, 320, 2721, 4, 21351, 284, 220, 16, 13, 777, 11, 220, 17, 13, 2946, 8, 3115, 5190, 21448, 369, 386, 11487, 11, 15947, 13, 6771, 220, 18, 84457, 42338, 320, 2721, 4, 21351, 8, 369, 19433, 5552, 5326, 9547, 315, 386, 11487, 449, 2204, 5990, 315, 34074, 13, 10229, 1990, 1357, 731, 315, 83808, 18878, 32930, 323, 279, 32388, 315, 386, 11487, 83808, 23730, 315, 5370, 37493, 1051, 18255, 1139, 3116, 41376, 3742, 320, 48, 16, 34, 48, 19, 8, 439, 70636, 7482, 320, 2620, 949, 2620, 2096, 570, 3277, 584, 9435, 72810, 31649, 6492, 311, 7652, 369, 4754, 2389, 801, 388, 323, 3952, 279, 41376, 458, 315, 50123, 45968, 311, 34625, 5905, 528, 2094, 320, 7842, 3957, 11, 220, 679, 18, 14002, 8, 439, 279, 5905, 11, 13324, 449, 1229, 18, 323, 1229, 19, 315, 39086, 23730, 320, 878, 284, 220, 15, 13, 5495, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 2491, 11, 220, 15, 13, 6086, 26, 2794, 284, 220, 15, 13, 4370, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 2983, 11, 220, 15, 13, 2031, 8, 323, 1229, 19, 315, 60886, 3711, 23730, 320, 878, 284, 220, 15, 13, 2287, 11, 220, 2721, 4, 21351, 25, 220, 15, 13, 1135, 11, 220, 15, 13, 4578, 8, 8710, 4827, 15635, 315, 386, 11487, 20444, 1229, 17, 315, 60886, 3711, 23730, 320, 878, 284, 220, 16, 13, 1644, 11, 220, 2721, 4, 469, 782, 82, 472, 276, 21351, 25, 220, 16, 13, 2437, 11, 220, 16, 13, 5728, 8, 1047, 469, 782, 82, 472, 276, 459, 7319, 5326, 13, 7089, 41376, 3742, 315, 37493, 23730, 12207, 5938, 449, 386, 11487, 304, 279, 2814, 56522, 6492, 1051, 25, 1229, 16, 315, 4330, 46192, 320, 32, 11, 426, 21, 11, 426, 717, 11, 356, 11, 1841, 66728, 17390, 8, 323, 1229, 19, 315, 80087, 483, 449, 7319, 2794, 320, 16, 13, 1682, 34, 16, 13, 5925, 11, 366, 220, 15, 13, 2304, 1237, 1229, 18, 315, 28170, 426, 18, 323, 2380, 34072, 320, 44, 70, 11, 127265, 11, 323, 27560, 8, 449, 25983, 2794, 320, 15, 13, 6028, 34, 15, 13, 5728, 11, 366, 220, 15, 13, 2304, 1237, 1229, 19, 315, 11888, 46192, 320, 32, 11, 426, 16, 11, 426, 17, 11, 426, 18, 11, 426, 21, 11, 426, 717, 11, 356, 11, 282, 7918, 13935, 11, 323, 1841, 66728, 17390, 8, 323, 4848, 34072, 320, 57, 77, 11, 73693, 11, 3926, 11, 1369, 11, 27560, 11, 323, 57831, 8, 449, 4827, 2794, 320, 15, 13, 2166, 34, 15, 13, 6028, 11, 366, 220, 15, 13, 2304, 570, 6771, 220, 19, 84457, 42338, 320, 2721, 4, 21351, 8, 369, 34625, 37493, 23730, 5552, 5326, 9547, 627, 17827, 304, 25, 14496, 3252, 1144, 12633, 3640, 25, 469, 782, 82, 472, 276, 11, 49431, 3735, 6310, 25180, 311, 445, 3378, 33, 16, 13, 128001, -100, 27, 265, 621, 373, 29, 267, 830, 276, 652, 285, 936, 14, 63014, 11843, 1771, 198, 23653, 20840, 16, 702, 3791, 7687, 20840, 17, 1875, 2, 1179, 12721, 198, 13, 20070, 22665, 2452, 271, 12527, 3791, 3108, 262, 356, 8974, 964, 20840, 16, 702, 262, 733, 636, 400, 3791, 91659, 198, 262, 13844, 30509, 8103, 20840, 3791, 91659, 10982, 3791, 7687, 702, 262, 35900, 429, 70, 38387, 1875, 262, 1722, 330, 1547, 419, 80900, 8957, 1889, 505, 400, 3791, 30509, 8103, 284, 39703, 1875, 262, 4685, 19368, 1889, 220, 15, 220, 16, 198, 262, 4685, 19368, 1889, 220, 15, 220, 17, 198, 633, 258, 43351, 3791, 3108, 262, 35900, 429, 70, 38387, 1875, 262, 97640, 78151, 262, 66444, 48583, 1151, 5018, 4209, 37899, 2381, 1365, 44441, 1084, 262, 59856, 4813, 20840, 16, 1875, 262, 1722, 330, 1547, 419, 18549, 23747, 8957, 1889, 400, 3791, 7687, 11, 389, 400, 67340, 4813, 449, 400, 9851, 26311, 284, 39703, 1875, 262, 42002, 19368, 1889, 220, 15, 220, 16, 198, 262, 42002, 19368, 1889, 220, 15, 220, 17, 198, 633, 23238, 3791, 19888, 262, 59856, 4813, 20840, 16, 702, 262, 1153, 769, 20840, 17, 702, 262, 1906, 20840, 18, 702, 262, 2851, 3266, 19, 271, 257, 68024, 4012, 48583, 29110, 2153, 4209, 59, 9075, 2153, 3479, 35433, 3, 981, 769, 35433, 3, 4075, 76204, 11444, 262, 1722, 330, 1547, 419, 19337, 10979, 3351, 25, 400, 64031, 4012, 48583, 11, 400, 3517, 11, 400, 67340, 4813, 284, 39703, 1875, 257, 8957, 1889, 18068, 220, 15, 400, 3517, 198, 633, 45330, 3791, 3108, 262, 1722, 330, 2688, 3686, 11798, 10246, 633, 333, 510, 5312, 23653, 1, 624, 330, 12527, 1, 13385, 1243, 674, 4685, 502, 1156, 198, 262, 4685, 3791, 400, 18, 198, 12740, 510, 5312, 23653, 1, 624, 330, 258, 43351, 1, 13385, 1243, 198, 262, 42002, 3791, 400, 18, 400, 19, 198, 12740, 510, 5312, 23653, 1, 624, 330, 359, 79, 7082, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 14234, 3791, 198, 12740, 510, 5312, 23653, 1, 624, 330, 23238, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 20466, 3791, 400, 18, 400, 19, 400, 20, 400, 21, 198, 12740, 510, 5312, 23653, 1, 624, 330, 1663, 1, 13385, 1243, 674, 14234, 279, 1156, 198, 262, 3319, 3791, 198, 10188, 128001, -100, 59204, 25, 6287, 220, 605, 11, 220, 9714, 21, 304, 44235, 2630, 11, 13174, 198, 7, 2460, 56385, 340, 1951, 8248, 25, 5936, 220, 1682, 11, 220, 9378, 15, 320, 17166, 220, 1419, 13, 14274, 11, 220, 16, 11, 21125, 339, 304, 41217, 3925, 340, 49, 9816, 8266, 25, 1398, 95306, 31625, 13693, 2391, 220, 9378, 15, 3280, 62074, 933, 14939, 25, 32042, 2053, 220, 9378, 15, 198, 5966, 4140, 25, 6664, 220, 24, 11, 220, 9378, 15, 320, 17166, 220, 1187, 13, 15101, 340, 35, 1142, 25, 6186, 220, 508, 11, 220, 7285, 23, 304, 44235, 2630, 11, 13174, 198, 62339, 1142, 25, 78915, 59578, 11, 44235, 2630, 11, 13174, 198, 10714, 6160, 32277, 2038, 198, 1480, 30, 24702, 7694, 328, 1905, 49, 596, 38258, 8167, 7089, 26496, 9980, 2738, 916, 38258, 65473, 1543, 582, 916, 10608, 3714, 3759, 3639, 2746, 42079, 25, 74956, 7839, 13, 128001, -100, 644, 5369, 311, 4737, 813, 1984, 704, 315, 1614, 323, 311, 279, 24051, 6406, 9540, 10554, 753, 25379, 35226, 6187, 14177, 304, 14689, 11, 3432, 584, 1505, 704, 430, 23406, 50635, 706, 11928, 459, 29788, 311, 2686, 279, 10810, 2534, 10349, 520, 872, 9974, 14177, 304, 5587, 13, 578, 10810, 2534, 10349, 374, 279, 24417, 7471, 369, 23348, 304, 279, 3723, 4273, 13, 11699, 66221, 374, 1766, 304, 1202, 304, 22498, 16250, 315, 315, 5426, 3754, 6164, 7385, 337, 32360, 19578, 11, 44402, 68802, 11, 323, 3330, 1705, 627, 34242, 4691, 311, 2686, 264, 6574, 315, 1884, 889, 6211, 279, 7446, 31186, 323, 9889, 315, 3754, 311, 279, 1274, 11, 374, 264, 1879, 430, 279, 3772, 374, 27989, 398, 8010, 315, 279, 4754, 430, 6866, 304, 279, 3284, 13621, 67260, 315, 23406, 50635, 627, 89849, 753, 24245, 706, 1027, 5115, 44040, 311, 3137, 13621, 11759, 304, 3293, 4038, 719, 1376, 279, 12365, 9899, 430, 568, 374, 6288, 10917, 3871, 11, 433, 5992, 1093, 568, 374, 9036, 287, 5678, 709, 311, 656, 779, 13, 358, 1097, 2103, 8748, 369, 430, 3682, 12365, 20392, 430, 27441, 304, 279, 4987, 13, 3011, 311, 757, 690, 387, 264, 3831, 28137, 315, 1148, 813, 5597, 922, 264, 1629, 369, 4900, 690, 387, 304, 5936, 627, 12174, 22371, 11, 439, 311, 2500, 19114, 889, 690, 387, 24096, 311, 14393, 12643, 11, 430, 690, 387, 7000, 1023, 1109, 23406, 50635, 3284, 15046, 369, 4900, 14382, 1981, 1820, 4900, 315, 279, 3723, 4273, 11, 24448, 7250, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250 ]
[ 128000, 28571, 2930, 21481, 304, 2326, 11463, 23028, 5084, 5115, 4528, 311, 5737, 449, 264, 1912, 315, 1023, 1274, 304, 264, 12109, 13, 1102, 596, 2204, 1606, 499, 2351, 25012, 701, 43177, 323, 9298, 1268, 701, 1450, 11335, 704, 2930, 13, 1472, 2351, 539, 3604, 304, 279, 3130, 22655, 627, 20171, 38668, 304, 2326, 11463, 23028, 374, 25705, 11, 10291, 5380, 2181, 374, 220, 1041, 4, 9966, 323, 6220, 369, 2326, 11463, 23028, 311, 1514, 520, 904, 21481, 3130, 10815, 1618, 13, 7357, 2816, 10212, 304, 1057, 1948, 220, 605, 2326, 11463, 23028, 2930, 21481, 12295, 690, 2187, 499, 311, 16946, 323, 15142, 13, 4427, 1253, 387, 35319, 555, 459, 11447, 1093, 279, 86443, 9849, 13, 1226, 690, 2646, 3708, 499, 311, 904, 21481, 3130, 430, 374, 12079, 304, 2326, 11463, 23028, 627, 1991, 279, 2539, 3649, 1618, 25, 2209, 5737, 21481, 5897, 304, 2326, 11463, 23028, 5380, 47, 10668, 23366, 826, 36103, 374, 264, 7701, 27458, 21481, 3130, 323, 3953, 3477, 24007, 3997, 369, 51607, 13, 5751, 60138, 527, 3967, 369, 17843, 6762, 323, 270, 414, 1409, 33407, 315, 2930, 2326, 11463, 23028, 21481, 3130, 11709, 13, 1226, 527, 1633, 11944, 304, 1057, 23862, 315, 2930, 21481, 3130, 304, 2326, 11463, 23028, 627, 9290, 25, 1442, 499, 527, 539, 304, 2326, 11463, 23028, 2349, 311, 279, 1314, 2373, 315, 1057, 2816, 627, 15084, 279, 5652, 21481, 3130, 6209, 369, 2326, 11463, 23028, 7833, 1139, 701, 23732, 627, 1687, 617, 16914, 430, 499, 527, 17136, 505, 14539, 38077, 323, 386, 5118, 65467, 11, 4869, 499, 527, 5131, 389, 279, 2373, 10825, 369, 1274, 304, 2326, 11463, 23028, 13, 19418, 499, 1093, 311, 3480, 311, 279, 14539, 38077, 323, 386, 5118, 65467, 2373, 315, 1057, 3997, 5380, 9642, 11, 1935, 757, 311, 279, 14539, 38077, 323, 386, 5118, 65467, 2373, 627, 2822, 11, 358, 1390, 311, 4822, 389, 279, 2326, 11463, 23028, 2373, 627, 40, 2846, 539, 304, 14539, 38077, 323, 386, 5118, 65467, 477, 2326, 11463, 23028, 0, 128001, 128000, 90541, 706, 264, 502, 3674, 3772, 6783, 627, 128001, 128000, 65661, 20962, 649, 7197, 374, 9057, 555, 264, 24032, 430, 44805, 988, 60290, 12690, 1555, 20703, 460, 477, 28593, 20438, 11829, 8624, 54947, 1579, 38193, 430, 374, 11093, 449, 8369, 9282, 4787, 13, 18002, 20962, 649, 7197, 649, 9041, 555, 29592, 11, 11422, 477, 3090, 12786, 14380, 11, 323, 433, 649, 387, 34699, 99097, 1555, 1701, 52673, 7526, 627, 6475, 13803, 315, 60290, 649, 7197, 527, 2678, 63324, 389, 11141, 430, 2643, 52280, 1529, 9487, 13, 25929, 389, 11, 279, 1529, 9487, 2274, 1139, 14198, 819, 19591, 4744, 292, 12970, 32389, 90424, 88, 63324, 3629, 23712, 555, 264, 14071, 71812, 13, 1952, 4483, 14801, 11, 60290, 649, 7197, 8111, 90424, 88, 11, 902, 374, 3629, 23712, 555, 3090, 34119, 7897, 37682, 13, 1952, 26390, 11, 60290, 649, 7197, 8111, 439, 14198, 1156, 370, 12970, 477, 90424, 88, 63324, 323, 5101, 439, 32389, 20438, 627, 77641, 12365, 11, 3131, 264, 5021, 374, 29374, 449, 279, 24032, 11, 279, 5021, 12302, 311, 14297, 18174, 7119, 279, 4648, 13, 578, 26390, 323, 80105, 8541, 311, 6068, 89019, 323, 29374, 26390, 430, 617, 649, 7197, 12195, 527, 539, 3157, 481, 13, 18002, 20962, 649, 7197, 706, 279, 5845, 311, 1654, 3509, 4553, 41245, 2402, 323, 34103, 264, 6908, 5326, 311, 279, 4459, 60290, 5064, 13, 128001, 128000, 40, 1781, 433, 14117, 389, 279, 1567, 13, 358, 617, 912, 4443, 3217, 11, 719, 832, 315, 856, 4333, 596, 31012, 1550, 459, 362, 16965, 300, 1567, 13, 1102, 574, 5042, 264, 10536, 4047, 1847, 11, 323, 358, 2846, 2771, 1070, 574, 1063, 10597, 23788, 323, 18228, 15038, 11, 719, 304, 279, 3152, 892, 11, 433, 574, 459, 12738, 323, 2523, 3217, 369, 904, 10585, 6532, 13, 1666, 4423, 6532, 304, 8993, 6392, 505, 264, 3995, 4325, 11, 1070, 1051, 1690, 3115, 430, 358, 56224, 8993, 88, 4455, 5042, 369, 279, 2536, 48712, 22941, 2523, 311, 387, 1047, 11, 1524, 994, 358, 574, 264, 62379, 13, 31879, 2746, 1202, 2133, 311, 387, 10213, 264, 29488, 11, 24863, 11, 323, 22114, 4359, 1139, 701, 4851, 1567, 11, 1243, 499, 1541, 956, 1390, 311, 3917, 701, 10003, 311, 430, 3169, 315, 52133, 1984, 13, 2435, 1456, 2288, 2653, 520, 1884, 13124, 315, 4455, 13, 4452, 11, 422, 433, 374, 1120, 264, 29585, 323, 2523, 1567, 449, 3771, 19165, 3233, 11, 1243, 2216, 11, 2610, 701, 10003, 13, 1442, 1364, 6944, 311, 733, 15020, 704, 11, 1243, 358, 1541, 956, 1518, 279, 11682, 13, 31879, 2746, 1364, 3250, 956, 1093, 433, 11, 1243, 1364, 40464, 3596, 617, 311, 733, 311, 2500, 1578, 13, 1442, 1364, 1587, 1093, 433, 11, 1243, 1120, 387, 459, 25530, 6822, 323, 1304, 2771, 311, 3539, 1207, 4763, 992, 6743, 311, 29561, 1077, 4059, 1139, 264, 9200, 98636, 13, 578, 11201, 430, 690, 3621, 374, 10811, 690, 387, 264, 13643, 51052, 4333, 11, 3156, 1364, 4131, 311, 7422, 4325, 13, 1442, 499, 2733, 832, 1567, 2231, 2288, 1690, 6848, 304, 1077, 2010, 11, 1243, 656, 912, 810, 13, 31879, 40, 1518, 433, 439, 264, 1648, 369, 1077, 311, 636, 704, 323, 617, 2523, 11, 323, 1524, 3674, 553, 13, 11699, 1193, 53808, 422, 1364, 374, 67094, 582, 1534, 369, 539, 35090, 11, 477, 422, 1364, 5334, 42100, 10820, 15846, 13, 358, 7701, 10712, 832, 13402, 690, 5625, 1077, 369, 2324, 13, 3005, 4762, 13919, 304, 6762, 552, 11, 719, 912, 832, 374, 26192, 430, 1364, 649, 956, 1373, 922, 1124, 449, 1077, 4885, 13, 31879, 40, 8101, 856, 1486, 374, 11, 1095, 1077, 10491, 369, 11937, 11, 323, 1193, 2231, 701, 4579, 1523, 422, 1070, 374, 459, 5150, 88, 3575, 13, 358, 2733, 2288, 1690, 1274, 527, 779, 7294, 10826, 2191, 11, 430, 814, 1781, 4205, 430, 2643, 3284, 5625, 872, 10585, 374, 264, 17936, 3245, 13, 36530, 11, 499, 3358, 1390, 311, 5766, 904, 43661, 8882, 989, 83, 4954, 11, 477, 10597, 4455, 11, 2533, 1884, 527, 1120, 12960, 13636, 261, 2857, 315, 3148, 98766, 304, 279, 836, 323, 27025, 315, 4359, 13, 13266, 527, 539, 1695, 7634, 369, 2911, 11, 1193, 1716, 12970, 12884, 13, 128001, 128000, 11439, 311, 3293, 13443, 11, 7154, 220, 1041, 11, 931, 9053, 16495, 9650, 505, 264, 6807, 42316, 9266, 304, 5651, 220, 1049, 24, 13, 3011, 7216, 11105, 459, 5376, 315, 927, 264, 4948, 505, 279, 1890, 4261, 264, 1060, 6931, 11, 26445, 66, 5620, 279, 6020, 7410, 17011, 555, 10495, 4028, 279, 3224, 13, 9176, 9053, 1505, 5694, 15389, 369, 11503, 304, 279, 15508, 315, 11210, 2683, 18151, 11, 49909, 11, 477, 3070, 69074, 430, 649, 60125, 14048, 8070, 627, 96269, 11, 21866, 11, 323, 1023, 15749, 3629, 1505, 5694, 18646, 2626, 14228, 6807, 3786, 39954, 13, 8184, 15749, 46753, 5190, 15635, 11, 2533, 872, 8403, 323, 6444, 1253, 3775, 311, 1304, 14507, 389, 19310, 65152, 13, 11641, 13566, 3940, 26475, 58654, 79980, 367, 311, 7945, 420, 7701, 28175, 1912, 315, 13723, 11, 1690, 315, 8884, 3663, 6020, 11774, 8994, 9861, 1510, 389, 682, 315, 872, 6807, 3786, 14507, 627, 34593, 89549, 323, 16666, 71094, 198, 57330, 11909, 3629, 28930, 13723, 922, 1268, 6807, 42316, 22223, 701, 6807, 5573, 13, 38716, 430, 15253, 13324, 311, 3194, 1063, 6807, 3786, 14507, 649, 5674, 12483, 5042, 555, 14718, 5361, 3389, 14507, 311, 5101, 389, 6807, 6821, 13, 763, 264, 3293, 7274, 449, 3229, 8096, 27933, 1122, 11, 13566, 46728, 430, 15749, 304, 279, 35446, 315, 13643, 67650, 649, 16136, 304, 19092, 11897, 6373, 10105, 430, 30437, 1317, 4751, 8389, 5536, 311, 6807, 6821, 627, 1, 1951, 13045, 6373, 1587, 539, 38339, 701, 6807, 323, 374, 555, 2955, 264, 3445, 315, 47995, 701, 6807, 1359, 13566, 1071, 13, 330, 8538, 66599, 10246, 4438, 1789, 58186, 6410, 16666, 89549, 2209, 34496, 369, 8184, 71502, 198, 78646, 304, 7620, 8040, 555, 48005, 660, 58654, 79980, 367, 1935, 264, 19092, 5603, 311, 77391, 323, 18646, 2626, 11897, 512, 12, 5629, 11, 13566, 323, 813, 2128, 3495, 902, 315, 264, 3016, 596, 6807, 3786, 9815, 1288, 7293, 1825, 11, 779, 279, 3016, 649, 3136, 311, 8175, 9515, 11, 2363, 25325, 11, 323, 28696, 16595, 6696, 5238, 13, 13566, 596, 3217, 706, 9087, 10765, 3230, 66599, 449, 8884, 9815, 2011, 7293, 1825, 304, 2015, 369, 8403, 311, 26456, 369, 61998, 477, 2678, 2626, 17017, 13, 362, 2753, 10534, 6807, 42316, 9266, 2643, 70185, 3345, 1521, 6696, 5238, 627, 12, 9479, 11, 264, 3016, 463, 64119, 34350, 9815, 10825, 369, 28286, 304, 279, 11897, 6373, 2068, 13, 1115, 7612, 6807, 31861, 12119, 311, 1934, 1884, 9815, 439, 330, 35187, 555, 11761, 3343, 5321, 5296, 430, 15676, 9815, 430, 527, 1510, 320, 72, 1770, 13, 539, 1624, 258, 17187, 8, 649, 13194, 701, 6807, 5573, 304, 1690, 5157, 627, 12, 5112, 11, 279, 48005, 660, 58654, 79980, 367, 2128, 29972, 279, 1920, 315, 34194, 11897, 6373, 25243, 1555, 264, 15884, 67166, 4009, 315, 19015, 627, 1383, 15676, 9815, 11, 2068, 13324, 8108, 5326, 369, 46115, 13, 9176, 46115, 25455, 28787, 349, 555, 46301, 2802, 7969, 323, 18189, 15438, 8187, 14507, 11, 45404, 8515, 6530, 369, 2626, 15749, 13, 3161, 264, 13515, 24725, 3839, 3335, 315, 10695, 15749, 312, 7993, 653, 85408, 11897, 11, 13566, 323, 813, 2128, 617, 743, 264, 1579, 5410, 315, 32008, 323, 27375, 4315, 369, 28926, 6807, 42316, 19339, 13, 58603, 3403, 11, 2728, 279, 7982, 77086, 323, 36752, 315, 2536, 28926, 13607, 11, 48005, 660, 374, 264, 11745, 315, 7878, 3805, 369, 1202, 8403, 13, 128001, 128000, 2378, 85, 9437, 1606, 358, 1093, 279, 5811, 13, 1115, 374, 3249, 358, 2103, 1772, 1618, 382, 16, 13, 3216, 2527, 5829, 61577, 39810, 311, 5542, 1202, 40651, 17797, 437, 11, 602, 1770, 13, 15592, 13, 720, 17, 13, 2876, 1475, 6201, 374, 2577, 32, 323, 706, 279, 5070, 311, 1977, 704, 264, 27877, 40651, 1646, 13, 58166, 9855, 1148, 499, 2019, 374, 837, 323, 2466, 46115, 1212, 20700, 704, 1521, 10778, 828, 4211, 13, 26361, 46115, 323, 6807, 29590, 89716, 649, 956, 8356, 872, 1866, 34333, 1646, 13, 763, 420, 6671, 11, 3216, 2527, 374, 31183, 1093, 10845, 85234, 374, 369, 8323, 8863, 11, 902, 6209, 1202, 1866, 5452, 369, 9333, 311, 5209, 30387, 19339, 311, 1005, 13, 16782, 264, 31528, 2626, 1646, 627, 18, 13, 3092, 5578, 374, 14470, 3428, 2533, 358, 3077, 1027, 304, 420, 2361, 369, 51569, 13, 7429, 433, 596, 1120, 3300, 13, 220, 128001 ]
[ -100, 28571, 2930, 21481, 304, 2326, 11463, 23028, 5084, 5115, 4528, 311, 5737, 449, 264, 1912, 315, 1023, 1274, 304, 264, 12109, 13, 1102, 596, 2204, 1606, 499, 2351, 25012, 701, 43177, 323, 9298, 1268, 701, 1450, 11335, 704, 2930, 13, 1472, 2351, 539, 3604, 304, 279, 3130, 22655, 627, 20171, 38668, 304, 2326, 11463, 23028, 374, 25705, 11, 10291, 5380, 2181, 374, 220, 1041, 4, 9966, 323, 6220, 369, 2326, 11463, 23028, 311, 1514, 520, 904, 21481, 3130, 10815, 1618, 13, 7357, 2816, 10212, 304, 1057, 1948, 220, 605, 2326, 11463, 23028, 2930, 21481, 12295, 690, 2187, 499, 311, 16946, 323, 15142, 13, 4427, 1253, 387, 35319, 555, 459, 11447, 1093, 279, 86443, 9849, 13, 1226, 690, 2646, 3708, 499, 311, 904, 21481, 3130, 430, 374, 12079, 304, 2326, 11463, 23028, 627, 1991, 279, 2539, 3649, 1618, 25, 2209, 5737, 21481, 5897, 304, 2326, 11463, 23028, 5380, 47, 10668, 23366, 826, 36103, 374, 264, 7701, 27458, 21481, 3130, 323, 3953, 3477, 24007, 3997, 369, 51607, 13, 5751, 60138, 527, 3967, 369, 17843, 6762, 323, 270, 414, 1409, 33407, 315, 2930, 2326, 11463, 23028, 21481, 3130, 11709, 13, 1226, 527, 1633, 11944, 304, 1057, 23862, 315, 2930, 21481, 3130, 304, 2326, 11463, 23028, 627, 9290, 25, 1442, 499, 527, 539, 304, 2326, 11463, 23028, 2349, 311, 279, 1314, 2373, 315, 1057, 2816, 627, 15084, 279, 5652, 21481, 3130, 6209, 369, 2326, 11463, 23028, 7833, 1139, 701, 23732, 627, 1687, 617, 16914, 430, 499, 527, 17136, 505, 14539, 38077, 323, 386, 5118, 65467, 11, 4869, 499, 527, 5131, 389, 279, 2373, 10825, 369, 1274, 304, 2326, 11463, 23028, 13, 19418, 499, 1093, 311, 3480, 311, 279, 14539, 38077, 323, 386, 5118, 65467, 2373, 315, 1057, 3997, 5380, 9642, 11, 1935, 757, 311, 279, 14539, 38077, 323, 386, 5118, 65467, 2373, 627, 2822, 11, 358, 1390, 311, 4822, 389, 279, 2326, 11463, 23028, 2373, 627, 40, 2846, 539, 304, 14539, 38077, 323, 386, 5118, 65467, 477, 2326, 11463, 23028, 0, 128001, -100, 90541, 706, 264, 502, 3674, 3772, 6783, 627, 128001, -100, 65661, 20962, 649, 7197, 374, 9057, 555, 264, 24032, 430, 44805, 988, 60290, 12690, 1555, 20703, 460, 477, 28593, 20438, 11829, 8624, 54947, 1579, 38193, 430, 374, 11093, 449, 8369, 9282, 4787, 13, 18002, 20962, 649, 7197, 649, 9041, 555, 29592, 11, 11422, 477, 3090, 12786, 14380, 11, 323, 433, 649, 387, 34699, 99097, 1555, 1701, 52673, 7526, 627, 6475, 13803, 315, 60290, 649, 7197, 527, 2678, 63324, 389, 11141, 430, 2643, 52280, 1529, 9487, 13, 25929, 389, 11, 279, 1529, 9487, 2274, 1139, 14198, 819, 19591, 4744, 292, 12970, 32389, 90424, 88, 63324, 3629, 23712, 555, 264, 14071, 71812, 13, 1952, 4483, 14801, 11, 60290, 649, 7197, 8111, 90424, 88, 11, 902, 374, 3629, 23712, 555, 3090, 34119, 7897, 37682, 13, 1952, 26390, 11, 60290, 649, 7197, 8111, 439, 14198, 1156, 370, 12970, 477, 90424, 88, 63324, 323, 5101, 439, 32389, 20438, 627, 77641, 12365, 11, 3131, 264, 5021, 374, 29374, 449, 279, 24032, 11, 279, 5021, 12302, 311, 14297, 18174, 7119, 279, 4648, 13, 578, 26390, 323, 80105, 8541, 311, 6068, 89019, 323, 29374, 26390, 430, 617, 649, 7197, 12195, 527, 539, 3157, 481, 13, 18002, 20962, 649, 7197, 706, 279, 5845, 311, 1654, 3509, 4553, 41245, 2402, 323, 34103, 264, 6908, 5326, 311, 279, 4459, 60290, 5064, 13, 128001, -100, 40, 1781, 433, 14117, 389, 279, 1567, 13, 358, 617, 912, 4443, 3217, 11, 719, 832, 315, 856, 4333, 596, 31012, 1550, 459, 362, 16965, 300, 1567, 13, 1102, 574, 5042, 264, 10536, 4047, 1847, 11, 323, 358, 2846, 2771, 1070, 574, 1063, 10597, 23788, 323, 18228, 15038, 11, 719, 304, 279, 3152, 892, 11, 433, 574, 459, 12738, 323, 2523, 3217, 369, 904, 10585, 6532, 13, 1666, 4423, 6532, 304, 8993, 6392, 505, 264, 3995, 4325, 11, 1070, 1051, 1690, 3115, 430, 358, 56224, 8993, 88, 4455, 5042, 369, 279, 2536, 48712, 22941, 2523, 311, 387, 1047, 11, 1524, 994, 358, 574, 264, 62379, 13, 31879, 2746, 1202, 2133, 311, 387, 10213, 264, 29488, 11, 24863, 11, 323, 22114, 4359, 1139, 701, 4851, 1567, 11, 1243, 499, 1541, 956, 1390, 311, 3917, 701, 10003, 311, 430, 3169, 315, 52133, 1984, 13, 2435, 1456, 2288, 2653, 520, 1884, 13124, 315, 4455, 13, 4452, 11, 422, 433, 374, 1120, 264, 29585, 323, 2523, 1567, 449, 3771, 19165, 3233, 11, 1243, 2216, 11, 2610, 701, 10003, 13, 1442, 1364, 6944, 311, 733, 15020, 704, 11, 1243, 358, 1541, 956, 1518, 279, 11682, 13, 31879, 2746, 1364, 3250, 956, 1093, 433, 11, 1243, 1364, 40464, 3596, 617, 311, 733, 311, 2500, 1578, 13, 1442, 1364, 1587, 1093, 433, 11, 1243, 1120, 387, 459, 25530, 6822, 323, 1304, 2771, 311, 3539, 1207, 4763, 992, 6743, 311, 29561, 1077, 4059, 1139, 264, 9200, 98636, 13, 578, 11201, 430, 690, 3621, 374, 10811, 690, 387, 264, 13643, 51052, 4333, 11, 3156, 1364, 4131, 311, 7422, 4325, 13, 1442, 499, 2733, 832, 1567, 2231, 2288, 1690, 6848, 304, 1077, 2010, 11, 1243, 656, 912, 810, 13, 31879, 40, 1518, 433, 439, 264, 1648, 369, 1077, 311, 636, 704, 323, 617, 2523, 11, 323, 1524, 3674, 553, 13, 11699, 1193, 53808, 422, 1364, 374, 67094, 582, 1534, 369, 539, 35090, 11, 477, 422, 1364, 5334, 42100, 10820, 15846, 13, 358, 7701, 10712, 832, 13402, 690, 5625, 1077, 369, 2324, 13, 3005, 4762, 13919, 304, 6762, 552, 11, 719, 912, 832, 374, 26192, 430, 1364, 649, 956, 1373, 922, 1124, 449, 1077, 4885, 13, 31879, 40, 8101, 856, 1486, 374, 11, 1095, 1077, 10491, 369, 11937, 11, 323, 1193, 2231, 701, 4579, 1523, 422, 1070, 374, 459, 5150, 88, 3575, 13, 358, 2733, 2288, 1690, 1274, 527, 779, 7294, 10826, 2191, 11, 430, 814, 1781, 4205, 430, 2643, 3284, 5625, 872, 10585, 374, 264, 17936, 3245, 13, 36530, 11, 499, 3358, 1390, 311, 5766, 904, 43661, 8882, 989, 83, 4954, 11, 477, 10597, 4455, 11, 2533, 1884, 527, 1120, 12960, 13636, 261, 2857, 315, 3148, 98766, 304, 279, 836, 323, 27025, 315, 4359, 13, 13266, 527, 539, 1695, 7634, 369, 2911, 11, 1193, 1716, 12970, 12884, 13, 128001, -100, 11439, 311, 3293, 13443, 11, 7154, 220, 1041, 11, 931, 9053, 16495, 9650, 505, 264, 6807, 42316, 9266, 304, 5651, 220, 1049, 24, 13, 3011, 7216, 11105, 459, 5376, 315, 927, 264, 4948, 505, 279, 1890, 4261, 264, 1060, 6931, 11, 26445, 66, 5620, 279, 6020, 7410, 17011, 555, 10495, 4028, 279, 3224, 13, 9176, 9053, 1505, 5694, 15389, 369, 11503, 304, 279, 15508, 315, 11210, 2683, 18151, 11, 49909, 11, 477, 3070, 69074, 430, 649, 60125, 14048, 8070, 627, 96269, 11, 21866, 11, 323, 1023, 15749, 3629, 1505, 5694, 18646, 2626, 14228, 6807, 3786, 39954, 13, 8184, 15749, 46753, 5190, 15635, 11, 2533, 872, 8403, 323, 6444, 1253, 3775, 311, 1304, 14507, 389, 19310, 65152, 13, 11641, 13566, 3940, 26475, 58654, 79980, 367, 311, 7945, 420, 7701, 28175, 1912, 315, 13723, 11, 1690, 315, 8884, 3663, 6020, 11774, 8994, 9861, 1510, 389, 682, 315, 872, 6807, 3786, 14507, 627, 34593, 89549, 323, 16666, 71094, 198, 57330, 11909, 3629, 28930, 13723, 922, 1268, 6807, 42316, 22223, 701, 6807, 5573, 13, 38716, 430, 15253, 13324, 311, 3194, 1063, 6807, 3786, 14507, 649, 5674, 12483, 5042, 555, 14718, 5361, 3389, 14507, 311, 5101, 389, 6807, 6821, 13, 763, 264, 3293, 7274, 449, 3229, 8096, 27933, 1122, 11, 13566, 46728, 430, 15749, 304, 279, 35446, 315, 13643, 67650, 649, 16136, 304, 19092, 11897, 6373, 10105, 430, 30437, 1317, 4751, 8389, 5536, 311, 6807, 6821, 627, 1, 1951, 13045, 6373, 1587, 539, 38339, 701, 6807, 323, 374, 555, 2955, 264, 3445, 315, 47995, 701, 6807, 1359, 13566, 1071, 13, 330, 8538, 66599, 10246, 4438, 1789, 58186, 6410, 16666, 89549, 2209, 34496, 369, 8184, 71502, 198, 78646, 304, 7620, 8040, 555, 48005, 660, 58654, 79980, 367, 1935, 264, 19092, 5603, 311, 77391, 323, 18646, 2626, 11897, 512, 12, 5629, 11, 13566, 323, 813, 2128, 3495, 902, 315, 264, 3016, 596, 6807, 3786, 9815, 1288, 7293, 1825, 11, 779, 279, 3016, 649, 3136, 311, 8175, 9515, 11, 2363, 25325, 11, 323, 28696, 16595, 6696, 5238, 13, 13566, 596, 3217, 706, 9087, 10765, 3230, 66599, 449, 8884, 9815, 2011, 7293, 1825, 304, 2015, 369, 8403, 311, 26456, 369, 61998, 477, 2678, 2626, 17017, 13, 362, 2753, 10534, 6807, 42316, 9266, 2643, 70185, 3345, 1521, 6696, 5238, 627, 12, 9479, 11, 264, 3016, 463, 64119, 34350, 9815, 10825, 369, 28286, 304, 279, 11897, 6373, 2068, 13, 1115, 7612, 6807, 31861, 12119, 311, 1934, 1884, 9815, 439, 330, 35187, 555, 11761, 3343, 5321, 5296, 430, 15676, 9815, 430, 527, 1510, 320, 72, 1770, 13, 539, 1624, 258, 17187, 8, 649, 13194, 701, 6807, 5573, 304, 1690, 5157, 627, 12, 5112, 11, 279, 48005, 660, 58654, 79980, 367, 2128, 29972, 279, 1920, 315, 34194, 11897, 6373, 25243, 1555, 264, 15884, 67166, 4009, 315, 19015, 627, 1383, 15676, 9815, 11, 2068, 13324, 8108, 5326, 369, 46115, 13, 9176, 46115, 25455, 28787, 349, 555, 46301, 2802, 7969, 323, 18189, 15438, 8187, 14507, 11, 45404, 8515, 6530, 369, 2626, 15749, 13, 3161, 264, 13515, 24725, 3839, 3335, 315, 10695, 15749, 312, 7993, 653, 85408, 11897, 11, 13566, 323, 813, 2128, 617, 743, 264, 1579, 5410, 315, 32008, 323, 27375, 4315, 369, 28926, 6807, 42316, 19339, 13, 58603, 3403, 11, 2728, 279, 7982, 77086, 323, 36752, 315, 2536, 28926, 13607, 11, 48005, 660, 374, 264, 11745, 315, 7878, 3805, 369, 1202, 8403, 13, 128001, -100, 2378, 85, 9437, 1606, 358, 1093, 279, 5811, 13, 1115, 374, 3249, 358, 2103, 1772, 1618, 382, 16, 13, 3216, 2527, 5829, 61577, 39810, 311, 5542, 1202, 40651, 17797, 437, 11, 602, 1770, 13, 15592, 13, 720, 17, 13, 2876, 1475, 6201, 374, 2577, 32, 323, 706, 279, 5070, 311, 1977, 704, 264, 27877, 40651, 1646, 13, 58166, 9855, 1148, 499, 2019, 374, 837, 323, 2466, 46115, 1212, 20700, 704, 1521, 10778, 828, 4211, 13, 26361, 46115, 323, 6807, 29590, 89716, 649, 956, 8356, 872, 1866, 34333, 1646, 13, 763, 420, 6671, 11, 3216, 2527, 374, 31183, 1093, 10845, 85234, 374, 369, 8323, 8863, 11, 902, 6209, 1202, 1866, 5452, 369, 9333, 311, 5209, 30387, 19339, 311, 1005, 13, 16782, 264, 31528, 2626, 1646, 627, 18, 13, 3092, 5578, 374, 14470, 3428, 2533, 358, 3077, 1027, 304, 420, 2361, 369, 51569, 13, 7429, 433, 596, 1120, 3300, 13, 220, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150 ]
[ 128000, 4438, 656, 499, 8448, 30, 3277, 690, 433, 17782, 30, 2209, 1070, 904, 1023, 3062, 8554, 369, 11862, 5380, 71744, 433, 5097, 220, 17, 2626, 2919, 311, 1920, 701, 2015, 13, 40730, 389, 279, 11862, 3072, 499, 4183, 11, 433, 690, 1935, 459, 5217, 220, 16, 12, 18, 2626, 2919, 369, 701, 2015, 311, 17782, 13, 5321, 8464, 311, 279, 15194, 1396, 3984, 4669, 2613, 369, 9013, 13, 5751, 11862, 2919, 527, 7159, 482, 6740, 627, 44456, 3115, 1253, 13592, 505, 13240, 18912, 4245, 311, 6138, 323, 16907, 4819, 505, 279, 11862, 2883, 13, 15636, 11, 584, 7079, 499, 5905, 701, 15194, 1396, 311, 1833, 701, 2015, 753, 2704, 627, 5618, 5296, 430, 35991, 706, 459, 4642, 2532, 5225, 482, 814, 617, 28191, 22340, 872, 5475, 65776, 2391, 279, 20562, 12, 777, 28522, 13, 1115, 3445, 1063, 59721, 1253, 17782, 3010, 1109, 13240, 482, 2737, 31727, 1639, 14519, 13, 5321, 2613, 1393, 91, 37004, 20739, 8651, 91, 422, 499, 617, 4860, 627, 2078, 5119, 47170, 1396, 5039, 430, 856, 6462, 11721, 11, 719, 358, 9167, 956, 4036, 4205, 13, 3639, 656, 358, 656, 5380, 1687, 8448, 704, 682, 315, 10373, 1701, 279, 85976, 13, 1789, 682, 315, 279, 13018, 2326, 323, 6625, 11862, 58982, 11, 4587, 5905, 420, 9676, 1618, 13, 5321, 5296, 430, 499, 1288, 923, 389, 220, 17, 2626, 2919, 369, 603, 311, 3854, 709, 323, 21054, 701, 2015, 627, 9126, 291, 1666, 330, 39432, 19323, 1507, 1, 719, 539, 4036, 279, 6462, 627, 6153, 220, 4364, 2919, 11, 8276, 8349, 649, 912, 5129, 387, 13019, 323, 6052, 14519, 690, 387, 50032, 1639, 13, 128001, 128000, 6971, 24992, 311, 2324, 32719, 17124, 32947, 323, 16808, 1157, 627, 11956, 555, 23944, 9678, 36717, 11, 29846, 11, 48277, 323, 1989, 28454, 627, 10445, 499, 3358, 10919, 603, 4999, 38537, 389, 927, 220, 914, 1667, 315, 3217, 315, 3318, 449, 1690, 315, 279, 1455, 4839, 287, 323, 8592, 5643, 8403, 304, 279, 23763, 1917, 11, 584, 1457, 6493, 459, 41480, 4023, 839, 4443, 2532, 311, 9678, 36717, 11, 48277, 323, 11401, 16097, 627, 2654, 2749, 287, 389, 279, 1888, 5684, 11709, 11, 1455, 8475, 5788, 5528, 323, 21933, 34136, 11, 584, 8356, 29085, 430, 584, 2351, 12691, 315, 11, 430, 3243, 23146, 323, 430, 499, 3358, 3021, 13, 5659, 3402, 299, 311, 3577, 12579, 323, 1620, 8141, 11, 584, 10299, 279, 4553, 1920, 842, 311, 842, 627, 1, 19017, 6253, 6366, 29085, 430, 527, 439, 1790, 264, 16267, 311, 3412, 439, 814, 527, 311, 57215, 10246, 13359, 1472, 758, 1226, 617, 4036, 701, 2613, 323, 690, 387, 304, 5916, 449, 499, 20193, 13, 128001, 128000, 44, 819, 438, 839, 9482, 4769, 649, 617, 5897, 16296, 4999, 2127, 14740, 63992, 1162, 315, 10705, 505, 1203, 304, 220, 679, 15, 46480, 279, 15635, 315, 9482, 2518, 459, 9548, 2085, 1694, 46878, 13, 578, 19683, 1436, 617, 31890, 279, 4459, 6671, 449, 264, 2697, 810, 3463, 323, 264, 2731, 8830, 315, 279, 5897, 4819, 627, 8607, 23234, 1781, 430, 11889, 4423, 2162, 374, 21277, 13, 45397, 3629, 1614, 430, 279, 25288, 374, 539, 264, 57315, 45361, 323, 20258, 649, 1781, 420, 374, 3403, 311, 1304, 279, 25288, 4528, 311, 3451, 70, 8506, 5387, 24535, 2030, 304, 1063, 5157, 11, 8104, 1884, 1405, 6721, 43839, 811, 527, 520, 18783, 11, 279, 17983, 2144, 315, 264, 5906, 26337, 25288, 649, 9541, 459, 3851, 369, 459, 61529, 25957, 279, 19683, 311, 26438, 1523, 13, 362, 6721, 1732, 1253, 3719, 779, 357, 25100, 3689, 291, 555, 25288, 430, 872, 7076, 1253, 387, 47168, 627, 644, 117214, 1216, 348, 4987, 4410, 7295, 323, 800, 10058, 596, 38895, 6401, 37381, 17236, 279, 7301, 315, 62006, 9539, 834, 35012, 315, 279, 17236, 753, 28519, 430, 25288, 574, 21277, 323, 16450, 117214, 1216, 12457, 459, 61529, 505, 279, 5234, 7301, 23351, 433, 627, 791, 7301, 315, 62006, 1766, 430, 25288, 649, 617, 6129, 16296, 25, 330, 266, 3325, 304, 12976, 311, 279, 14740, 315, 264, 15337, 6721, 304, 264, 734, 902, 374, 439, 1790, 264, 348, 2328, 439, 264, 2683, 13, 91110, 4442, 279, 2704, 41608, 505, 990, 311, 912, 990, 11, 323, 433, 40605, 57133, 264, 12737, 927, 279, 9548, 596, 58266, 13, 5046, 3388, 420, 1587, 539, 3152, 433, 4250, 387, 2884, 11, 719, 433, 374, 539, 264, 21277, 1180, 10246, 32, 25288, 1436, 31471, 279, 6259, 4751, 315, 7095, 323, 12410, 323, 5439, 3878, 439, 311, 1268, 16346, 690, 387, 18073, 13, 1115, 374, 264, 11670, 8197, 369, 459, 9548, 24509, 287, 323, 21039, 54584, 59323, 627, 3957, 1070, 6300, 5353, 369, 279, 25288, 5380, 3343, 662, 662, 2085, 13579, 323, 6300, 5353, 11, 6929, 5196, 304, 264, 11827, 16997, 323, 4461, 311, 7066, 477, 14243, 5674, 279, 5133, 315, 12410, 323, 7095, 1990, 19683, 323, 9548, 35394, 279, 9749, 1296, 14183, 311, 304, 279, 11495, 1162, 315, 73320, 348, 426, 86367, 627, 2746, 1070, 374, 264, 1633, 6129, 6671, 11, 902, 3966, 311, 387, 27313, 23234, 1288, 10552, 279, 8125, 369, 279, 25288, 323, 279, 5353, 315, 433, 13, 128001, 128000, 1687, 1781, 315, 90177, 439, 31049, 11, 323, 369, 682, 58441, 11, 3495, 323, 43226, 10096, 814, 527, 13, 2030, 814, 7784, 1431, 264, 14595, 1054, 24217, 863, 1389, 11164, 276, 2740, 264, 14098, 6832, 25568, 661, 9221, 2653, 520, 48261, 13, 1115, 374, 1606, 3235, 449, 47136, 11, 27994, 323, 48907, 8839, 11, 814, 9352, 311, 279, 2531, 3972, 3070, 11, 6832, 3697, 8356, 1884, 11537, 55687, 11383, 449, 832, 311, 30335, 19595, 323, 6832, 3789, 16387, 2482, 527, 2162, 311, 279, 11190, 47503, 72013, 287, 18452, 450, 677, 2411, 24032, 627, 47, 5420, 6256, 320, 19171, 2663, 5015, 64866, 8, 527, 279, 19595, 315, 1676, 613, 285, 9950, 540, 71435, 323, 13517, 3782, 505, 4987, 5270, 13, 578, 30758, 6029, 315, 1274, 259, 47270, 1139, 1124, 439, 264, 3691, 19641, 320, 39393, 449, 59576, 11, 27994, 11, 934, 80094, 323, 272, 17270, 8, 4131, 505, 452, 3581, 511, 13345, 304, 18671, 48847, 1405, 18563, 323, 8162, 2269, 3746, 8839, 320, 1527, 279, 83768, 315, 3823, 18311, 8, 4284, 814, 1051, 961, 315, 279, 2254, 10173, 1990, 520, 3325, 220, 15862, 15, 323, 220, 7007, 15, 30167, 13, 2435, 11721, 304, 4606, 449, 279, 39879, 4776, 12168, 81560, 520, 279, 842, 315, 279, 11375, 46487, 9478, 323, 1243, 4732, 1570, 1903, 872, 1648, 2212, 279, 1917, 311, 13936, 11, 10384, 323, 4892, 5270, 627, 9023, 10058, 6652, 3341, 424, 374, 6646, 555, 1690, 311, 387, 279, 7126, 315, 279, 50933, 5064, 304, 279, 2326, 13, 1283, 6137, 813, 50933, 3495, 304, 220, 7028, 18, 13, 1283, 12090, 311, 20957, 430, 814, 17348, 872, 24428, 11012, 320, 8370, 409, 5282, 279, 47503, 304, 279, 17614, 8, 323, 67632, 90177, 902, 9711, 433, 1203, 627, 2409, 872, 13128, 11, 57525, 11, 7120, 35467, 50127, 11, 46192, 11, 34072, 11, 11917, 5540, 323, 37555, 998, 32056, 82, 11, 1521, 5526, 31385, 39863, 3854, 264, 43226, 21004, 13, 2435, 527, 1101, 9257, 304, 33155, 6646, 29219, 369, 279, 4851, 25, 459, 42500, 13935, 320, 24177, 2565, 315, 13128, 8, 2663, 1417, 83334, 26, 28170, 469, 11, 9630, 349, 11, 24166, 320, 64, 25107, 8, 323, 6136, 22562, 3145, 627, 3923, 922, 99157, 4428, 59866, 30, 8773, 291, 90177, 527, 4367, 41370, 369, 279, 9546, 315, 79902, 430, 19159, 264, 98534, 2663, 99157, 4428, 59866, 13, 9393, 90177, 304, 279, 12811, 527, 539, 58677, 11, 2571, 3201, 904, 51370, 88, 6305, 627, 3923, 922, 50933, 60754, 30, 1115, 374, 459, 15098, 4279, 3691, 60754, 5423, 304, 2911, 13, 3861, 30277, 315, 682, 50933, 23148, 75439, 1274, 527, 1101, 57596, 311, 5021, 31049, 1778, 439, 97746, 31049, 11, 20750, 17912, 6256, 11, 41926, 64866, 11, 88922, 11, 9155, 52054, 689, 31049, 11, 24817, 613, 3614, 11, 31100, 598, 11, 34697, 31049, 323, 8515, 28844, 13, 3580, 4557, 4497, 369, 2144, 11071, 11071, 13, 128001 ]
[ -100, 4438, 656, 499, 8448, 30, 3277, 690, 433, 17782, 30, 2209, 1070, 904, 1023, 3062, 8554, 369, 11862, 5380, 71744, 433, 5097, 220, 17, 2626, 2919, 311, 1920, 701, 2015, 13, 40730, 389, 279, 11862, 3072, 499, 4183, 11, 433, 690, 1935, 459, 5217, 220, 16, 12, 18, 2626, 2919, 369, 701, 2015, 311, 17782, 13, 5321, 8464, 311, 279, 15194, 1396, 3984, 4669, 2613, 369, 9013, 13, 5751, 11862, 2919, 527, 7159, 482, 6740, 627, 44456, 3115, 1253, 13592, 505, 13240, 18912, 4245, 311, 6138, 323, 16907, 4819, 505, 279, 11862, 2883, 13, 15636, 11, 584, 7079, 499, 5905, 701, 15194, 1396, 311, 1833, 701, 2015, 753, 2704, 627, 5618, 5296, 430, 35991, 706, 459, 4642, 2532, 5225, 482, 814, 617, 28191, 22340, 872, 5475, 65776, 2391, 279, 20562, 12, 777, 28522, 13, 1115, 3445, 1063, 59721, 1253, 17782, 3010, 1109, 13240, 482, 2737, 31727, 1639, 14519, 13, 5321, 2613, 1393, 91, 37004, 20739, 8651, 91, 422, 499, 617, 4860, 627, 2078, 5119, 47170, 1396, 5039, 430, 856, 6462, 11721, 11, 719, 358, 9167, 956, 4036, 4205, 13, 3639, 656, 358, 656, 5380, 1687, 8448, 704, 682, 315, 10373, 1701, 279, 85976, 13, 1789, 682, 315, 279, 13018, 2326, 323, 6625, 11862, 58982, 11, 4587, 5905, 420, 9676, 1618, 13, 5321, 5296, 430, 499, 1288, 923, 389, 220, 17, 2626, 2919, 369, 603, 311, 3854, 709, 323, 21054, 701, 2015, 627, 9126, 291, 1666, 330, 39432, 19323, 1507, 1, 719, 539, 4036, 279, 6462, 627, 6153, 220, 4364, 2919, 11, 8276, 8349, 649, 912, 5129, 387, 13019, 323, 6052, 14519, 690, 387, 50032, 1639, 13, 128001, -100, 6971, 24992, 311, 2324, 32719, 17124, 32947, 323, 16808, 1157, 627, 11956, 555, 23944, 9678, 36717, 11, 29846, 11, 48277, 323, 1989, 28454, 627, 10445, 499, 3358, 10919, 603, 4999, 38537, 389, 927, 220, 914, 1667, 315, 3217, 315, 3318, 449, 1690, 315, 279, 1455, 4839, 287, 323, 8592, 5643, 8403, 304, 279, 23763, 1917, 11, 584, 1457, 6493, 459, 41480, 4023, 839, 4443, 2532, 311, 9678, 36717, 11, 48277, 323, 11401, 16097, 627, 2654, 2749, 287, 389, 279, 1888, 5684, 11709, 11, 1455, 8475, 5788, 5528, 323, 21933, 34136, 11, 584, 8356, 29085, 430, 584, 2351, 12691, 315, 11, 430, 3243, 23146, 323, 430, 499, 3358, 3021, 13, 5659, 3402, 299, 311, 3577, 12579, 323, 1620, 8141, 11, 584, 10299, 279, 4553, 1920, 842, 311, 842, 627, 1, 19017, 6253, 6366, 29085, 430, 527, 439, 1790, 264, 16267, 311, 3412, 439, 814, 527, 311, 57215, 10246, 13359, 1472, 758, 1226, 617, 4036, 701, 2613, 323, 690, 387, 304, 5916, 449, 499, 20193, 13, 128001, -100, 44, 819, 438, 839, 9482, 4769, 649, 617, 5897, 16296, 4999, 2127, 14740, 63992, 1162, 315, 10705, 505, 1203, 304, 220, 679, 15, 46480, 279, 15635, 315, 9482, 2518, 459, 9548, 2085, 1694, 46878, 13, 578, 19683, 1436, 617, 31890, 279, 4459, 6671, 449, 264, 2697, 810, 3463, 323, 264, 2731, 8830, 315, 279, 5897, 4819, 627, 8607, 23234, 1781, 430, 11889, 4423, 2162, 374, 21277, 13, 45397, 3629, 1614, 430, 279, 25288, 374, 539, 264, 57315, 45361, 323, 20258, 649, 1781, 420, 374, 3403, 311, 1304, 279, 25288, 4528, 311, 3451, 70, 8506, 5387, 24535, 2030, 304, 1063, 5157, 11, 8104, 1884, 1405, 6721, 43839, 811, 527, 520, 18783, 11, 279, 17983, 2144, 315, 264, 5906, 26337, 25288, 649, 9541, 459, 3851, 369, 459, 61529, 25957, 279, 19683, 311, 26438, 1523, 13, 362, 6721, 1732, 1253, 3719, 779, 357, 25100, 3689, 291, 555, 25288, 430, 872, 7076, 1253, 387, 47168, 627, 644, 117214, 1216, 348, 4987, 4410, 7295, 323, 800, 10058, 596, 38895, 6401, 37381, 17236, 279, 7301, 315, 62006, 9539, 834, 35012, 315, 279, 17236, 753, 28519, 430, 25288, 574, 21277, 323, 16450, 117214, 1216, 12457, 459, 61529, 505, 279, 5234, 7301, 23351, 433, 627, 791, 7301, 315, 62006, 1766, 430, 25288, 649, 617, 6129, 16296, 25, 330, 266, 3325, 304, 12976, 311, 279, 14740, 315, 264, 15337, 6721, 304, 264, 734, 902, 374, 439, 1790, 264, 348, 2328, 439, 264, 2683, 13, 91110, 4442, 279, 2704, 41608, 505, 990, 311, 912, 990, 11, 323, 433, 40605, 57133, 264, 12737, 927, 279, 9548, 596, 58266, 13, 5046, 3388, 420, 1587, 539, 3152, 433, 4250, 387, 2884, 11, 719, 433, 374, 539, 264, 21277, 1180, 10246, 32, 25288, 1436, 31471, 279, 6259, 4751, 315, 7095, 323, 12410, 323, 5439, 3878, 439, 311, 1268, 16346, 690, 387, 18073, 13, 1115, 374, 264, 11670, 8197, 369, 459, 9548, 24509, 287, 323, 21039, 54584, 59323, 627, 3957, 1070, 6300, 5353, 369, 279, 25288, 5380, 3343, 662, 662, 2085, 13579, 323, 6300, 5353, 11, 6929, 5196, 304, 264, 11827, 16997, 323, 4461, 311, 7066, 477, 14243, 5674, 279, 5133, 315, 12410, 323, 7095, 1990, 19683, 323, 9548, 35394, 279, 9749, 1296, 14183, 311, 304, 279, 11495, 1162, 315, 73320, 348, 426, 86367, 627, 2746, 1070, 374, 264, 1633, 6129, 6671, 11, 902, 3966, 311, 387, 27313, 23234, 1288, 10552, 279, 8125, 369, 279, 25288, 323, 279, 5353, 315, 433, 13, 128001, -100, 1687, 1781, 315, 90177, 439, 31049, 11, 323, 369, 682, 58441, 11, 3495, 323, 43226, 10096, 814, 527, 13, 2030, 814, 7784, 1431, 264, 14595, 1054, 24217, 863, 1389, 11164, 276, 2740, 264, 14098, 6832, 25568, 661, 9221, 2653, 520, 48261, 13, 1115, 374, 1606, 3235, 449, 47136, 11, 27994, 323, 48907, 8839, 11, 814, 9352, 311, 279, 2531, 3972, 3070, 11, 6832, 3697, 8356, 1884, 11537, 55687, 11383, 449, 832, 311, 30335, 19595, 323, 6832, 3789, 16387, 2482, 527, 2162, 311, 279, 11190, 47503, 72013, 287, 18452, 450, 677, 2411, 24032, 627, 47, 5420, 6256, 320, 19171, 2663, 5015, 64866, 8, 527, 279, 19595, 315, 1676, 613, 285, 9950, 540, 71435, 323, 13517, 3782, 505, 4987, 5270, 13, 578, 30758, 6029, 315, 1274, 259, 47270, 1139, 1124, 439, 264, 3691, 19641, 320, 39393, 449, 59576, 11, 27994, 11, 934, 80094, 323, 272, 17270, 8, 4131, 505, 452, 3581, 511, 13345, 304, 18671, 48847, 1405, 18563, 323, 8162, 2269, 3746, 8839, 320, 1527, 279, 83768, 315, 3823, 18311, 8, 4284, 814, 1051, 961, 315, 279, 2254, 10173, 1990, 520, 3325, 220, 15862, 15, 323, 220, 7007, 15, 30167, 13, 2435, 11721, 304, 4606, 449, 279, 39879, 4776, 12168, 81560, 520, 279, 842, 315, 279, 11375, 46487, 9478, 323, 1243, 4732, 1570, 1903, 872, 1648, 2212, 279, 1917, 311, 13936, 11, 10384, 323, 4892, 5270, 627, 9023, 10058, 6652, 3341, 424, 374, 6646, 555, 1690, 311, 387, 279, 7126, 315, 279, 50933, 5064, 304, 279, 2326, 13, 1283, 6137, 813, 50933, 3495, 304, 220, 7028, 18, 13, 1283, 12090, 311, 20957, 430, 814, 17348, 872, 24428, 11012, 320, 8370, 409, 5282, 279, 47503, 304, 279, 17614, 8, 323, 67632, 90177, 902, 9711, 433, 1203, 627, 2409, 872, 13128, 11, 57525, 11, 7120, 35467, 50127, 11, 46192, 11, 34072, 11, 11917, 5540, 323, 37555, 998, 32056, 82, 11, 1521, 5526, 31385, 39863, 3854, 264, 43226, 21004, 13, 2435, 527, 1101, 9257, 304, 33155, 6646, 29219, 369, 279, 4851, 25, 459, 42500, 13935, 320, 24177, 2565, 315, 13128, 8, 2663, 1417, 83334, 26, 28170, 469, 11, 9630, 349, 11, 24166, 320, 64, 25107, 8, 323, 6136, 22562, 3145, 627, 3923, 922, 99157, 4428, 59866, 30, 8773, 291, 90177, 527, 4367, 41370, 369, 279, 9546, 315, 79902, 430, 19159, 264, 98534, 2663, 99157, 4428, 59866, 13, 9393, 90177, 304, 279, 12811, 527, 539, 58677, 11, 2571, 3201, 904, 51370, 88, 6305, 627, 3923, 922, 50933, 60754, 30, 1115, 374, 459, 15098, 4279, 3691, 60754, 5423, 304, 2911, 13, 3861, 30277, 315, 682, 50933, 23148, 75439, 1274, 527, 1101, 57596, 311, 5021, 31049, 1778, 439, 97746, 31049, 11, 20750, 17912, 6256, 11, 41926, 64866, 11, 88922, 11, 9155, 52054, 689, 31049, 11, 24817, 613, 3614, 11, 31100, 598, 11, 34697, 31049, 323, 8515, 28844, 13, 3580, 4557, 4497, 369, 2144, 11071, 11071, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469 ]
[ 128000, 70957, 264, 9572, 23842, 315, 264, 10456, 832, 374, 5107, 389, 1690, 5990, 13, 3277, 701, 22489, 10065, 706, 1027, 29704, 449, 9572, 11, 433, 374, 4228, 311, 2733, 63628, 13, 2684, 527, 7504, 430, 499, 649, 1935, 311, 39170, 6261, 323, 2512, 369, 701, 10065, 449, 9572, 13, 578, 2768, 5899, 7504, 690, 14553, 701, 8631, 323, 1520, 499, 3619, 1148, 311, 656, 994, 499, 6865, 279, 4339, 25, 1054, 22479, 6896, 706, 9572, 49216, 16, 13, 67975, 553, 430, 9572, 304, 26159, 374, 4279, 627, 791, 2144, 430, 701, 6896, 8040, 9572, 374, 539, 19018, 13, 1666, 701, 6896, 17051, 11, 872, 22852, 1887, 7621, 729, 323, 9572, 9221, 264, 5190, 5326, 11, 1120, 1093, 304, 12966, 13, 1472, 323, 701, 6896, 527, 539, 7636, 2391, 1521, 5107, 3115, 627, 11439, 311, 279, 78103, 26211, 13581, 11, 9572, 374, 279, 1925, 5353, 315, 4648, 304, 220, 2618, 4, 315, 12875, 320, 36046, 12875, 927, 4325, 5899, 8, 323, 220, 843, 4, 315, 19987, 13, 39525, 636, 9572, 520, 922, 279, 1890, 4478, 439, 12966, 11, 1418, 19987, 617, 17162, 51423, 13, 2684, 527, 927, 220, 1041, 4595, 315, 51423, 304, 12875, 13, 37582, 2849, 56071, 527, 279, 1455, 4279, 304, 12875, 13, 578, 1455, 4279, 51423, 304, 19987, 527, 96306, 323, 43745, 7942, 13, 7648, 3115, 9572, 374, 1766, 304, 30084, 10099, 11, 719, 1063, 58245, 617, 5190, 7969, 315, 9572, 1109, 3885, 627, 17, 13, 15281, 10180, 4718, 11586, 753, 26211, 198, 7927, 6896, 706, 1027, 29704, 449, 9572, 13, 26211, 374, 264, 8624, 430, 3135, 505, 279, 653, 59707, 6650, 315, 7917, 304, 279, 2547, 13, 356, 32842, 527, 3629, 7086, 369, 279, 955, 315, 2849, 430, 374, 7982, 704, 315, 2585, 13, 578, 3878, 9572, 11, 60327, 6709, 11, 323, 841, 454, 14833, 689, 1253, 387, 1511, 52363, 2915, 1389, 814, 527, 1120, 2204, 5627, 311, 2019, 9572, 627, 3947, 527, 1690, 4595, 315, 9572, 323, 1855, 74157, 22009, 13, 4427, 7739, 315, 9572, 617, 279, 5845, 311, 9041, 311, 1023, 6732, 304, 279, 2547, 11, 902, 1253, 387, 3117, 505, 279, 4113, 2816, 13, 1115, 13980, 1606, 1521, 9572, 7917, 649, 3810, 279, 6680, 477, 43745, 31080, 323, 387, 11953, 311, 1023, 36853, 13, 3277, 279, 9572, 706, 9041, 311, 1023, 5789, 315, 279, 2547, 11, 433, 374, 2663, 68370, 10949, 627, 2170, 369, 904, 23842, 11, 304, 264, 6896, 477, 264, 1732, 11, 39170, 6261, 389, 279, 2671, 11, 7194, 6532, 11, 323, 279, 8882, 323, 1615, 311, 27723, 701, 6896, 627, 18, 13, 71994, 4718, 11586, 753, 31969, 14908, 198, 3947, 527, 3892, 4595, 315, 52312, 1511, 311, 4322, 9572, 304, 22489, 10099, 13, 4314, 2997, 15173, 11, 62730, 11, 25407, 15419, 11, 323, 33119, 42811, 13, 1789, 1063, 51423, 11, 6514, 690, 6824, 315, 264, 3254, 955, 315, 15419, 11, 1418, 3885, 1253, 1397, 10824, 15419, 320, 17, 477, 810, 2204, 52312, 4390, 19, 13, 21829, 31831, 449, 264, 78103, 77854, 16549, 198, 4599, 701, 6896, 374, 29704, 449, 9572, 11, 499, 1253, 387, 36218, 922, 279, 11709, 10666, 311, 499, 13, 4702, 439, 584, 656, 304, 3823, 16088, 11, 499, 1253, 636, 264, 2132, 9647, 505, 264, 4580, 62134, 1908, 69340, 78970, 16549, 13, 1115, 1253, 7838, 264, 12146, 3388, 315, 6514, 477, 1825, 709, 502, 2671, 369, 701, 6896, 627, 1687, 617, 264, 78103, 77854, 16549, 430, 584, 990, 449, 15870, 323, 1053, 387, 6380, 311, 1304, 264, 45880, 13, 1472, 649, 1101, 1505, 1124, 389, 279, 11190, 78103, 26211, 13581, 3997, 11, 902, 6209, 5070, 369, 6896, 7980, 11, 2737, 1054, 10086, 264, 24687, 304, 701, 3158, 2029, 8604, 3211, 12380, 32842, 6180, 2726, 198, 20, 13, 21834, 922, 4718, 11586, 753, 18410, 315, 9601, 198, 34, 11967, 6514, 369, 10099, 24400, 389, 46649, 23747, 6784, 323, 16066, 11, 3235, 449, 33459, 2324, 11, 439, 1317, 439, 279, 4367, 315, 430, 2324, 649, 387, 34683, 13, 31969, 374, 11383, 1790, 2753, 19738, 1109, 304, 12966, 627, 3923, 3727, 701, 6896, 753, 1938, 30, 2209, 433, 264, 16587, 304, 279, 2254, 36670, 11, 7160, 65, 44661, 389, 279, 4156, 45747, 11, 264, 1317, 4321, 304, 279, 33633, 11, 477, 1120, 4224, 63031, 709, 449, 499, 13, 3277, 701, 10065, 4250, 4774, 1521, 7640, 11, 477, 814, 5353, 810, 44776, 11, 872, 4367, 315, 2324, 374, 44500, 13, 18156, 701, 82340, 649, 3085, 49648, 6373, 311, 61705, 6784, 323, 16066, 11, 323, 7170, 11, 994, 4367, 315, 2324, 374, 40028, 11, 584, 1205, 311, 1781, 922, 81680, 26997, 689, 627, 12, 13969, 264, 4725, 14348, 198, 31955, 7640, 1093, 51582, 11, 23291, 11, 323, 1514, 1712, 690, 1520, 311, 10519, 264, 9498, 40543, 369, 2225, 499, 323, 701, 6896, 13, 5751, 26159, 1093, 14348, 13, 1102, 8779, 1124, 4822, 4642, 323, 17045, 11, 5423, 422, 814, 690, 617, 311, 1304, 1690, 21728, 311, 279, 24195, 369, 6514, 627, 22, 13, 2893, 38650, 323, 26569, 627, 8140, 26159, 1205, 603, 11, 323, 584, 1205, 1124, 13, 10541, 1063, 10099, 1253, 3217, 41658, 44776, 505, 15419, 11, 6514, 315, 1455, 26159, 449, 9572, 649, 387, 27332, 2085, 3682, 35104, 477, 4737, 3201, 505, 701, 6896, 753, 45278, 315, 2324, 13, 4702, 1606, 459, 10065, 706, 1027, 29704, 449, 9572, 1587, 539, 3152, 1202, 2324, 374, 7214, 927, 13, 4718, 15507, 311, 701, 6896, 323, 701, 82340, 753, 39955, 311, 8405, 1614, 8838, 10826, 38921, 2512, 690, 990, 3871, 311, 2567, 701, 6896, 439, 6380, 439, 3284, 369, 439, 1317, 439, 3284, 13, 128001, 128000, 25025, 612, 49741, 198, 71251, 279, 30198, 323, 1050, 99340, 38756, 198, 791, 30198, 323, 1050, 99340, 9849, 574, 3940, 304, 7008, 439, 459, 5149, 311, 1520, 279, 21730, 315, 452, 5983, 889, 1051, 6089, 477, 46345, 11754, 555, 279, 50069, 2978, 6067, 13, 1666, 264, 1121, 315, 420, 990, 23278, 44809, 374, 11798, 1148, 374, 2663, 279, 3723, 19687, 42021, 389, 279, 10734, 315, 47103, 81398, 902, 330, 34500, 288, 264, 20789, 12914, 315, 279, 8187, 10886, 369, 279, 20237, 11, 38929, 323, 1664, 33851, 315, 279, 39678, 32538, 315, 279, 1917, 3343, 1666, 264, 1121, 315, 279, 990, 315, 279, 30198, 323, 1050, 99340, 9849, 1070, 374, 264, 17516, 9306, 430, 574, 81099, 439, 1664, 902, 32097, 10082, 5315, 311, 16136, 304, 58755, 449, 279, 39678, 22673, 13, 2684, 374, 1101, 264, 30198, 323, 1050, 99340, 7290, 311, 5703, 902, 21881, 311, 279, 1690, 2204, 9875, 323, 872, 5845, 311, 1520, 420, 58755, 733, 4741, 627, 71251, 279, 30198, 323, 49741, 38756, 198, 791, 30198, 323, 49741, 3298, 374, 279, 20770, 430, 374, 1694, 4529, 304, 279, 3723, 4273, 311, 1520, 449, 279, 21730, 315, 50069, 8853, 304, 279, 17118, 22673, 13, 1102, 574, 3940, 555, 1611, 14720, 14433, 15697, 889, 374, 279, 3723, 4273, 12667, 315, 279, 29958, 389, 6250, 220, 1682, 11, 220, 2366, 15, 13, 1952, 5651, 220, 1313, 11, 220, 2366, 16, 12667, 14433, 15697, 9489, 20018, 279, 12411, 7904, 8925, 287, 6150, 38756, 902, 374, 10825, 389, 80417, 3177, 389, 1148, 7077, 520, 279, 12411, 8925, 287, 31483, 1405, 17118, 9053, 18677, 13, 1952, 6790, 220, 22, 11, 220, 2366, 16, 279, 5165, 17118, 3778, 8925, 6150, 49741, 36892, 320, 45, 58579, 8, 7376, 279, 8667, 264, 73766, 58385, 315, 46551, 320, 10754, 52, 8, 449, 279, 9476, 315, 29958, 311, 53579, 4430, 3495, 311, 1862, 279, 6011, 315, 279, 29958, 596, 12411, 7904, 8925, 287, 6150, 627, 16397, 279, 8925, 287, 6150, 48688, 1070, 706, 1027, 1790, 30988, 3549, 369, 279, 47103, 1274, 13, 1115, 8830, 574, 83598, 994, 1070, 574, 264, 3148, 25165, 315, 220, 12112, 2911, 1766, 304, 279, 55763, 5015, 315, 264, 8013, 19326, 2978, 2391, 279, 892, 315, 40054, 13763, 902, 24026, 505, 220, 9378, 15, 3156, 279, 3389, 220, 4468, 15, 596, 13, 578, 12152, 5165, 30198, 323, 1050, 99340, 9849, 574, 743, 709, 439, 459, 41258, 369, 1148, 1047, 7077, 304, 279, 3347, 323, 311, 1520, 449, 279, 17516, 927, 279, 8853, 627, 29690, 287, 279, 220, 12112, 198, 644, 3297, 315, 220, 2366, 16, 11, 220, 12112, 28016, 8625, 315, 47103, 2911, 1051, 1766, 304, 264, 3148, 25165, 389, 279, 21319, 315, 29549, 83551, 7904, 55555, 6150, 320, 42, 91064, 570, 1115, 4545, 36718, 279, 19459, 315, 1690, 39678, 32538, 323, 3549, 264, 86559, 12330, 315, 3754, 430, 9041, 2212, 279, 1917, 9002, 872, 11704, 13, 7089, 39678, 1274, 6137, 311, 6604, 704, 922, 1521, 53210, 902, 19543, 304, 3805, 892, 505, 220, 508, 14, 508, 323, 279, 3148, 22673, 6975, 311, 3240, 922, 1521, 35279, 3347, 82, 13, 1102, 1101, 19543, 304, 11191, 27573, 2212, 279, 3723, 4273, 323, 7008, 311, 2778, 369, 810, 7554, 2911, 627, 9673, 14269, 1243, 41544, 279, 9006, 315, 30460, 26184, 311, 16136, 304, 279, 3619, 826, 315, 1148, 1380, 11986, 13, 30460, 26184, 1176, 18719, 279, 47103, 22673, 311, 22463, 323, 574, 10666, 264, 2678, 6857, 315, 2911, 596, 296, 14310, 300, 1354, 13, 4740, 892, 315, 42852, 315, 279, 7438, 315, 1884, 296, 14310, 300, 1354, 568, 12263, 7008, 311, 471, 279, 296, 14310, 300, 1354, 311, 279, 1274, 1070, 323, 3940, 1148, 574, 2663, 813, 37451, 911, 1843, 315, 393, 10431, 1405, 568, 7543, 264, 2046, 17136, 11, 21583, 311, 11, 6975, 505, 323, 12365, 449, 279, 47103, 10466, 7607, 9002, 279, 8993, 596, 3560, 304, 50069, 2978, 1887, 13, 1283, 1511, 430, 892, 311, 3085, 813, 4033, 73273, 369, 1148, 1047, 1380, 11986, 323, 311, 4639, 279, 3697, 315, 279, 8993, 439, 1664, 922, 1148, 433, 3445, 311, 387, 9052, 627, 5618, 1373, 810, 922, 279, 220, 12112, 304, 279, 8158, 10212, 3770, 25, 128001, 128000, 70793, 574, 4018, 389, 220, 605, 14, 20, 14, 508, 627, 49488, 7013, 430, 18182, 374, 30673, 520, 279, 10548, 627, 55381, 10264, 10145, 304, 7013, 627, 27247, 1027, 14282, 291, 14, 2407, 839, 14, 89292, 6901, 627, 38195, 1027, 38593, 323, 66731, 13127, 1475, 220, 18, 12, 19, 2919, 8, 3235, 449, 18274, 395, 4001, 7013, 54902, 12509, 627, 27125, 3515, 12544, 3794, 264, 1695, 6945, 430, 574, 1695, 4367, 311, 8298, 13, 6914, 757, 1440, 422, 499, 1053, 1093, 2731, 9364, 13, 128001 ]
[ -100, 70957, 264, 9572, 23842, 315, 264, 10456, 832, 374, 5107, 389, 1690, 5990, 13, 3277, 701, 22489, 10065, 706, 1027, 29704, 449, 9572, 11, 433, 374, 4228, 311, 2733, 63628, 13, 2684, 527, 7504, 430, 499, 649, 1935, 311, 39170, 6261, 323, 2512, 369, 701, 10065, 449, 9572, 13, 578, 2768, 5899, 7504, 690, 14553, 701, 8631, 323, 1520, 499, 3619, 1148, 311, 656, 994, 499, 6865, 279, 4339, 25, 1054, 22479, 6896, 706, 9572, 49216, 16, 13, 67975, 553, 430, 9572, 304, 26159, 374, 4279, 627, 791, 2144, 430, 701, 6896, 8040, 9572, 374, 539, 19018, 13, 1666, 701, 6896, 17051, 11, 872, 22852, 1887, 7621, 729, 323, 9572, 9221, 264, 5190, 5326, 11, 1120, 1093, 304, 12966, 13, 1472, 323, 701, 6896, 527, 539, 7636, 2391, 1521, 5107, 3115, 627, 11439, 311, 279, 78103, 26211, 13581, 11, 9572, 374, 279, 1925, 5353, 315, 4648, 304, 220, 2618, 4, 315, 12875, 320, 36046, 12875, 927, 4325, 5899, 8, 323, 220, 843, 4, 315, 19987, 13, 39525, 636, 9572, 520, 922, 279, 1890, 4478, 439, 12966, 11, 1418, 19987, 617, 17162, 51423, 13, 2684, 527, 927, 220, 1041, 4595, 315, 51423, 304, 12875, 13, 37582, 2849, 56071, 527, 279, 1455, 4279, 304, 12875, 13, 578, 1455, 4279, 51423, 304, 19987, 527, 96306, 323, 43745, 7942, 13, 7648, 3115, 9572, 374, 1766, 304, 30084, 10099, 11, 719, 1063, 58245, 617, 5190, 7969, 315, 9572, 1109, 3885, 627, 17, 13, 15281, 10180, 4718, 11586, 753, 26211, 198, 7927, 6896, 706, 1027, 29704, 449, 9572, 13, 26211, 374, 264, 8624, 430, 3135, 505, 279, 653, 59707, 6650, 315, 7917, 304, 279, 2547, 13, 356, 32842, 527, 3629, 7086, 369, 279, 955, 315, 2849, 430, 374, 7982, 704, 315, 2585, 13, 578, 3878, 9572, 11, 60327, 6709, 11, 323, 841, 454, 14833, 689, 1253, 387, 1511, 52363, 2915, 1389, 814, 527, 1120, 2204, 5627, 311, 2019, 9572, 627, 3947, 527, 1690, 4595, 315, 9572, 323, 1855, 74157, 22009, 13, 4427, 7739, 315, 9572, 617, 279, 5845, 311, 9041, 311, 1023, 6732, 304, 279, 2547, 11, 902, 1253, 387, 3117, 505, 279, 4113, 2816, 13, 1115, 13980, 1606, 1521, 9572, 7917, 649, 3810, 279, 6680, 477, 43745, 31080, 323, 387, 11953, 311, 1023, 36853, 13, 3277, 279, 9572, 706, 9041, 311, 1023, 5789, 315, 279, 2547, 11, 433, 374, 2663, 68370, 10949, 627, 2170, 369, 904, 23842, 11, 304, 264, 6896, 477, 264, 1732, 11, 39170, 6261, 389, 279, 2671, 11, 7194, 6532, 11, 323, 279, 8882, 323, 1615, 311, 27723, 701, 6896, 627, 18, 13, 71994, 4718, 11586, 753, 31969, 14908, 198, 3947, 527, 3892, 4595, 315, 52312, 1511, 311, 4322, 9572, 304, 22489, 10099, 13, 4314, 2997, 15173, 11, 62730, 11, 25407, 15419, 11, 323, 33119, 42811, 13, 1789, 1063, 51423, 11, 6514, 690, 6824, 315, 264, 3254, 955, 315, 15419, 11, 1418, 3885, 1253, 1397, 10824, 15419, 320, 17, 477, 810, 2204, 52312, 4390, 19, 13, 21829, 31831, 449, 264, 78103, 77854, 16549, 198, 4599, 701, 6896, 374, 29704, 449, 9572, 11, 499, 1253, 387, 36218, 922, 279, 11709, 10666, 311, 499, 13, 4702, 439, 584, 656, 304, 3823, 16088, 11, 499, 1253, 636, 264, 2132, 9647, 505, 264, 4580, 62134, 1908, 69340, 78970, 16549, 13, 1115, 1253, 7838, 264, 12146, 3388, 315, 6514, 477, 1825, 709, 502, 2671, 369, 701, 6896, 627, 1687, 617, 264, 78103, 77854, 16549, 430, 584, 990, 449, 15870, 323, 1053, 387, 6380, 311, 1304, 264, 45880, 13, 1472, 649, 1101, 1505, 1124, 389, 279, 11190, 78103, 26211, 13581, 3997, 11, 902, 6209, 5070, 369, 6896, 7980, 11, 2737, 1054, 10086, 264, 24687, 304, 701, 3158, 2029, 8604, 3211, 12380, 32842, 6180, 2726, 198, 20, 13, 21834, 922, 4718, 11586, 753, 18410, 315, 9601, 198, 34, 11967, 6514, 369, 10099, 24400, 389, 46649, 23747, 6784, 323, 16066, 11, 3235, 449, 33459, 2324, 11, 439, 1317, 439, 279, 4367, 315, 430, 2324, 649, 387, 34683, 13, 31969, 374, 11383, 1790, 2753, 19738, 1109, 304, 12966, 627, 3923, 3727, 701, 6896, 753, 1938, 30, 2209, 433, 264, 16587, 304, 279, 2254, 36670, 11, 7160, 65, 44661, 389, 279, 4156, 45747, 11, 264, 1317, 4321, 304, 279, 33633, 11, 477, 1120, 4224, 63031, 709, 449, 499, 13, 3277, 701, 10065, 4250, 4774, 1521, 7640, 11, 477, 814, 5353, 810, 44776, 11, 872, 4367, 315, 2324, 374, 44500, 13, 18156, 701, 82340, 649, 3085, 49648, 6373, 311, 61705, 6784, 323, 16066, 11, 323, 7170, 11, 994, 4367, 315, 2324, 374, 40028, 11, 584, 1205, 311, 1781, 922, 81680, 26997, 689, 627, 12, 13969, 264, 4725, 14348, 198, 31955, 7640, 1093, 51582, 11, 23291, 11, 323, 1514, 1712, 690, 1520, 311, 10519, 264, 9498, 40543, 369, 2225, 499, 323, 701, 6896, 13, 5751, 26159, 1093, 14348, 13, 1102, 8779, 1124, 4822, 4642, 323, 17045, 11, 5423, 422, 814, 690, 617, 311, 1304, 1690, 21728, 311, 279, 24195, 369, 6514, 627, 22, 13, 2893, 38650, 323, 26569, 627, 8140, 26159, 1205, 603, 11, 323, 584, 1205, 1124, 13, 10541, 1063, 10099, 1253, 3217, 41658, 44776, 505, 15419, 11, 6514, 315, 1455, 26159, 449, 9572, 649, 387, 27332, 2085, 3682, 35104, 477, 4737, 3201, 505, 701, 6896, 753, 45278, 315, 2324, 13, 4702, 1606, 459, 10065, 706, 1027, 29704, 449, 9572, 1587, 539, 3152, 1202, 2324, 374, 7214, 927, 13, 4718, 15507, 311, 701, 6896, 323, 701, 82340, 753, 39955, 311, 8405, 1614, 8838, 10826, 38921, 2512, 690, 990, 3871, 311, 2567, 701, 6896, 439, 6380, 439, 3284, 369, 439, 1317, 439, 3284, 13, 128001, -100, 25025, 612, 49741, 198, 71251, 279, 30198, 323, 1050, 99340, 38756, 198, 791, 30198, 323, 1050, 99340, 9849, 574, 3940, 304, 7008, 439, 459, 5149, 311, 1520, 279, 21730, 315, 452, 5983, 889, 1051, 6089, 477, 46345, 11754, 555, 279, 50069, 2978, 6067, 13, 1666, 264, 1121, 315, 420, 990, 23278, 44809, 374, 11798, 1148, 374, 2663, 279, 3723, 19687, 42021, 389, 279, 10734, 315, 47103, 81398, 902, 330, 34500, 288, 264, 20789, 12914, 315, 279, 8187, 10886, 369, 279, 20237, 11, 38929, 323, 1664, 33851, 315, 279, 39678, 32538, 315, 279, 1917, 3343, 1666, 264, 1121, 315, 279, 990, 315, 279, 30198, 323, 1050, 99340, 9849, 1070, 374, 264, 17516, 9306, 430, 574, 81099, 439, 1664, 902, 32097, 10082, 5315, 311, 16136, 304, 58755, 449, 279, 39678, 22673, 13, 2684, 374, 1101, 264, 30198, 323, 1050, 99340, 7290, 311, 5703, 902, 21881, 311, 279, 1690, 2204, 9875, 323, 872, 5845, 311, 1520, 420, 58755, 733, 4741, 627, 71251, 279, 30198, 323, 49741, 38756, 198, 791, 30198, 323, 49741, 3298, 374, 279, 20770, 430, 374, 1694, 4529, 304, 279, 3723, 4273, 311, 1520, 449, 279, 21730, 315, 50069, 8853, 304, 279, 17118, 22673, 13, 1102, 574, 3940, 555, 1611, 14720, 14433, 15697, 889, 374, 279, 3723, 4273, 12667, 315, 279, 29958, 389, 6250, 220, 1682, 11, 220, 2366, 15, 13, 1952, 5651, 220, 1313, 11, 220, 2366, 16, 12667, 14433, 15697, 9489, 20018, 279, 12411, 7904, 8925, 287, 6150, 38756, 902, 374, 10825, 389, 80417, 3177, 389, 1148, 7077, 520, 279, 12411, 8925, 287, 31483, 1405, 17118, 9053, 18677, 13, 1952, 6790, 220, 22, 11, 220, 2366, 16, 279, 5165, 17118, 3778, 8925, 6150, 49741, 36892, 320, 45, 58579, 8, 7376, 279, 8667, 264, 73766, 58385, 315, 46551, 320, 10754, 52, 8, 449, 279, 9476, 315, 29958, 311, 53579, 4430, 3495, 311, 1862, 279, 6011, 315, 279, 29958, 596, 12411, 7904, 8925, 287, 6150, 627, 16397, 279, 8925, 287, 6150, 48688, 1070, 706, 1027, 1790, 30988, 3549, 369, 279, 47103, 1274, 13, 1115, 8830, 574, 83598, 994, 1070, 574, 264, 3148, 25165, 315, 220, 12112, 2911, 1766, 304, 279, 55763, 5015, 315, 264, 8013, 19326, 2978, 2391, 279, 892, 315, 40054, 13763, 902, 24026, 505, 220, 9378, 15, 3156, 279, 3389, 220, 4468, 15, 596, 13, 578, 12152, 5165, 30198, 323, 1050, 99340, 9849, 574, 743, 709, 439, 459, 41258, 369, 1148, 1047, 7077, 304, 279, 3347, 323, 311, 1520, 449, 279, 17516, 927, 279, 8853, 627, 29690, 287, 279, 220, 12112, 198, 644, 3297, 315, 220, 2366, 16, 11, 220, 12112, 28016, 8625, 315, 47103, 2911, 1051, 1766, 304, 264, 3148, 25165, 389, 279, 21319, 315, 29549, 83551, 7904, 55555, 6150, 320, 42, 91064, 570, 1115, 4545, 36718, 279, 19459, 315, 1690, 39678, 32538, 323, 3549, 264, 86559, 12330, 315, 3754, 430, 9041, 2212, 279, 1917, 9002, 872, 11704, 13, 7089, 39678, 1274, 6137, 311, 6604, 704, 922, 1521, 53210, 902, 19543, 304, 3805, 892, 505, 220, 508, 14, 508, 323, 279, 3148, 22673, 6975, 311, 3240, 922, 1521, 35279, 3347, 82, 13, 1102, 1101, 19543, 304, 11191, 27573, 2212, 279, 3723, 4273, 323, 7008, 311, 2778, 369, 810, 7554, 2911, 627, 9673, 14269, 1243, 41544, 279, 9006, 315, 30460, 26184, 311, 16136, 304, 279, 3619, 826, 315, 1148, 1380, 11986, 13, 30460, 26184, 1176, 18719, 279, 47103, 22673, 311, 22463, 323, 574, 10666, 264, 2678, 6857, 315, 2911, 596, 296, 14310, 300, 1354, 13, 4740, 892, 315, 42852, 315, 279, 7438, 315, 1884, 296, 14310, 300, 1354, 568, 12263, 7008, 311, 471, 279, 296, 14310, 300, 1354, 311, 279, 1274, 1070, 323, 3940, 1148, 574, 2663, 813, 37451, 911, 1843, 315, 393, 10431, 1405, 568, 7543, 264, 2046, 17136, 11, 21583, 311, 11, 6975, 505, 323, 12365, 449, 279, 47103, 10466, 7607, 9002, 279, 8993, 596, 3560, 304, 50069, 2978, 1887, 13, 1283, 1511, 430, 892, 311, 3085, 813, 4033, 73273, 369, 1148, 1047, 1380, 11986, 323, 311, 4639, 279, 3697, 315, 279, 8993, 439, 1664, 922, 1148, 433, 3445, 311, 387, 9052, 627, 5618, 1373, 810, 922, 279, 220, 12112, 304, 279, 8158, 10212, 3770, 25, 128001, -100, 70793, 574, 4018, 389, 220, 605, 14, 20, 14, 508, 627, 49488, 7013, 430, 18182, 374, 30673, 520, 279, 10548, 627, 55381, 10264, 10145, 304, 7013, 627, 27247, 1027, 14282, 291, 14, 2407, 839, 14, 89292, 6901, 627, 38195, 1027, 38593, 323, 66731, 13127, 1475, 220, 18, 12, 19, 2919, 8, 3235, 449, 18274, 395, 4001, 7013, 54902, 12509, 627, 27125, 3515, 12544, 3794, 264, 1695, 6945, 430, 574, 1695, 4367, 311, 8298, 13, 6914, 757, 1440, 422, 499, 1053, 1093, 2731, 9364, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85 ]
[ 128000, 13347, 13, 358, 6051, 2751, 856, 14299, 356, 2759, 369, 420, 2305, 323, 856, 4121, 574, 432, 7322, 15, 13, 358, 574, 27718, 0, 358, 2663, 60795, 356, 323, 814, 3309, 757, 430, 16147, 7290, 96604, 432, 1114, 824, 1938, 505, 856, 2759, 13, 1102, 11621, 709, 311, 927, 432, 2636, 13, 3277, 358, 2663, 16147, 7290, 12053, 23508, 814, 1071, 358, 53200, 279, 220, 1114, 339, 5936, 220, 679, 18, 13, 358, 4691, 422, 814, 1436, 3708, 757, 459, 2613, 311, 1501, 279, 6029, 13, 1102, 706, 1027, 220, 1187, 4207, 323, 358, 9167, 956, 4036, 4205, 13, 1115, 374, 2216, 28743, 311, 603, 439, 6444, 315, 2849, 4641, 5220, 13, 11208, 656, 1521, 5220, 3844, 34572, 7290, 8, 636, 1057, 2038, 323, 2849, 5219, 30, 14299, 356, 3309, 2322, 430, 814, 617, 4400, 311, 656, 449, 420, 2883, 13, 4800, 358, 1205, 311, 2343, 927, 264, 432, 1041, 15, 420, 2305, 369, 2555, 358, 1541, 956, 1524, 1440, 358, 617, 53200, 369, 13, 14910, 420, 3621, 311, 4423, 775, 30, 5321, 3041, 757, 32113, 30, 358, 1541, 956, 617, 430, 3169, 315, 3300, 627, 33, 4473, 369, 4400, 0, 358, 1390, 856, 3300, 1203, 0, 128001, 128000, 2675, 690, 5662, 279, 52417, 2237, 994, 499, 2351, 3815, 264, 14397, 430, 374, 2288, 1317, 323, 2288, 2653, 369, 279, 6500, 311, 7216, 704, 11, 5353, 279, 29862, 649, 956, 733, 16058, 13, 1472, 649, 5662, 279, 52417, 2237, 449, 682, 45858, 323, 86286, 627, 791, 1888, 7634, 311, 1505, 264, 2466, 7940, 323, 2804, 279, 52417, 374, 35308, 449, 264, 330, 1305, 875, 34507, 1, 7216, 13, 2030, 315, 3388, 499, 649, 656, 433, 389, 1690, 14242, 11, 1093, 24191, 220, 17, 24191, 369, 3187, 13, 128001, 128000, 30138, 98084, 7866, 46013, 83940, 11, 18610, 627, 3112, 1148, 315, 27966, 5380, 51, 1936, 288, 70598, 279, 4363, 430, 1053, 3719, 27966, 369, 927, 220, 605, 11, 931, 1667, 1603, 279, 1176, 27470, 51607, 477, 66738, 30517, 291, 1202, 42071, 96241, 13, 578, 46845, 4167, 8040, 264, 357, 10949, 449, 279, 4676, 902, 6244, 29991, 304, 279, 220, 10828, 15, 82, 994, 18742, 490, 28921, 323, 35687, 6137, 311, 1935, 279, 2254, 30405, 627, 2321, 57119, 28788, 8272, 11, 77157, 304, 220, 10336, 23, 994, 12550, 11, 902, 11922, 279, 4363, 1306, 50787, 505, 18157, 304, 220, 10828, 16, 11, 272, 31035, 433, 311, 279, 3723, 4273, 304, 279, 17516, 315, 279, 24160, 24145, 5111, 13, 1556, 28961, 12765, 6244, 264, 18197, 449, 279, 18841, 315, 6761, 304, 7188, 627, 644, 220, 10336, 21, 11, 220, 966, 5636, 3026, 16070, 279, 24941, 23497, 10315, 6312, 11, 6968, 7188, 439, 264, 35544, 13, 4740, 5419, 11249, 11, 7188, 16495, 26360, 311, 279, 9323, 439, 264, 1949, 1614, 11, 91069, 279, 83372, 8335, 3549, 304, 279, 25378, 13620, 5386, 315, 220, 10828, 15, 13, 23072, 18063, 32501, 11, 60213, 311, 64788, 264, 7982, 11501, 11, 11223, 264, 4101, 315, 43595, 311, 1054, 39716, 1097, 292, 2915, 682, 6484, 4860, 315, 26654, 662, 662, 662, 40986, 704, 315, 279, 15244, 315, 33792, 2029, 2435, 1051, 59674, 369, 8254, 4038, 627, 30649, 5602, 279, 13620, 5386, 315, 220, 9741, 15, 11, 93167, 555, 23072, 18587, 31164, 11, 12579, 2225, 15316, 11, 55689, 7188, 439, 264, 1054, 10816, 1614, 2476, 8405, 78090, 52482, 17047, 369, 23195, 323, 1561, 12550, 11, 31692, 264, 8421, 33440, 19254, 11, 37276, 11218, 20985, 6696, 304, 6652, 11, 423, 732, 2637, 323, 1097, 2518, 279, 435, 773, 3486, 60468, 3298, 627, 91722, 315, 11904, 60164, 11, 10213, 25000, 11, 23854, 7069, 555, 6761, 34653, 323, 279, 12876, 369, 31220, 3782, 311, 1054, 10816, 863, 7188, 13, 2435, 26617, 279, 1614, 264, 6220, 14850, 323, 264, 2035, 315, 7100, 6776, 13, 42759, 16941, 1759, 1766, 4040, 6020, 2450, 304, 8405, 3600, 311, 11935, 10977, 315, 1933, 13, 578, 11904, 24145, 7980, 315, 279, 27687, 81649, 31783, 1511, 22613, 311, 3780, 279, 11542, 315, 95389, 889, 991, 95930, 449, 872, 36467, 311, 279, 11935, 5151, 627, 1383, 220, 9741, 20, 11, 4349, 3093, 47317, 1221, 31759, 6137, 311, 3449, 323, 4319, 6468, 75554, 11125, 4251, 1862, 369, 5054, 15180, 13, 4427, 5208, 574, 17427, 11, 719, 3389, 304, 279, 18217, 1135, 82, 279, 3314, 47126, 5946, 264, 2383, 23537, 682, 28296, 3026, 311, 10051, 264, 35947, 24914, 11, 8272, 555, 279, 53057, 423, 1171, 10016, 5597, 320, 52, 815, 13, 13814, 7301, 8, 902, 11224, 320, 32, 48893, 9053, 8, 617, 1054, 2201, 3802, 389, 3778, 2383, 477, 3268, 430, 4251, 3026, 2011, 5201, 113068, 791, 17876, 20160, 11, 2225, 2254, 323, 5426, 11, 1766, 76445, 1705, 323, 463, 59197, 25727, 28424, 9861, 961, 315, 279, 5054, 7829, 13, 578, 39856, 5946, 264, 2254, 435, 773, 3486, 3314, 2383, 11, 93439, 459, 7294, 64683, 5141, 4121, 430, 1053, 617, 27010, 1949, 3776, 323, 32760, 505, 16661, 279, 1614, 13, 11904, 9053, 1051, 15164, 279, 1314, 311, 7055, 477, 311, 3085, 24365, 304, 5590, 1405, 4251, 10495, 1051, 9875, 13, 3142, 8853, 1051, 1101, 92398, 627, 1688, 420, 1486, 11, 1690, 11904, 24145, 3026, 323, 3278, 991, 95930, 311, 19001, 7008, 311, 1833, 279, 56230, 6761, 13270, 11, 13758, 264, 2478, 1667, 3010, 449, 3403, 12205, 311, 3719, 80576, 64156, 315, 7425, 306, 3776, 10977, 323, 37671, 6957, 7188, 627, 3947, 1053, 387, 1690, 20405, 311, 279, 24024, 36903, 627, 2520, 279, 1667, 220, 679, 17, 12, 679, 18, 11, 5751, 15457, 11, 4953, 13, 690, 387, 387, 32689, 279, 220, 3965, 339, 47898, 315, 279, 5867, 1149, 49686, 5907, 323, 1202, 20160, 304, 27966, 13, 1115, 4652, 374, 961, 315, 264, 4101, 430, 690, 387, 4756, 2391, 430, 892, 13, 5321, 2733, 1949, 311, 4319, 6468, 323, 4430, 320, 67309, 705, 4068, 477, 9502, 701, 1866, 9908, 627, 12763, 603, 389, 198, 2028, 2209, 64518, 374, 701, 2592, 369, 10292, 27875, 9678, 11, 2930, 64518, 3754, 323, 4455, 2533, 220, 1049, 24, 13, 1226, 527, 24392, 13234, 323, 24026, 13, 128001 ]
[ -100, 13347, 13, 358, 6051, 2751, 856, 14299, 356, 2759, 369, 420, 2305, 323, 856, 4121, 574, 432, 7322, 15, 13, 358, 574, 27718, 0, 358, 2663, 60795, 356, 323, 814, 3309, 757, 430, 16147, 7290, 96604, 432, 1114, 824, 1938, 505, 856, 2759, 13, 1102, 11621, 709, 311, 927, 432, 2636, 13, 3277, 358, 2663, 16147, 7290, 12053, 23508, 814, 1071, 358, 53200, 279, 220, 1114, 339, 5936, 220, 679, 18, 13, 358, 4691, 422, 814, 1436, 3708, 757, 459, 2613, 311, 1501, 279, 6029, 13, 1102, 706, 1027, 220, 1187, 4207, 323, 358, 9167, 956, 4036, 4205, 13, 1115, 374, 2216, 28743, 311, 603, 439, 6444, 315, 2849, 4641, 5220, 13, 11208, 656, 1521, 5220, 3844, 34572, 7290, 8, 636, 1057, 2038, 323, 2849, 5219, 30, 14299, 356, 3309, 2322, 430, 814, 617, 4400, 311, 656, 449, 420, 2883, 13, 4800, 358, 1205, 311, 2343, 927, 264, 432, 1041, 15, 420, 2305, 369, 2555, 358, 1541, 956, 1524, 1440, 358, 617, 53200, 369, 13, 14910, 420, 3621, 311, 4423, 775, 30, 5321, 3041, 757, 32113, 30, 358, 1541, 956, 617, 430, 3169, 315, 3300, 627, 33, 4473, 369, 4400, 0, 358, 1390, 856, 3300, 1203, 0, 128001, -100, 2675, 690, 5662, 279, 52417, 2237, 994, 499, 2351, 3815, 264, 14397, 430, 374, 2288, 1317, 323, 2288, 2653, 369, 279, 6500, 311, 7216, 704, 11, 5353, 279, 29862, 649, 956, 733, 16058, 13, 1472, 649, 5662, 279, 52417, 2237, 449, 682, 45858, 323, 86286, 627, 791, 1888, 7634, 311, 1505, 264, 2466, 7940, 323, 2804, 279, 52417, 374, 35308, 449, 264, 330, 1305, 875, 34507, 1, 7216, 13, 2030, 315, 3388, 499, 649, 656, 433, 389, 1690, 14242, 11, 1093, 24191, 220, 17, 24191, 369, 3187, 13, 128001, -100, 30138, 98084, 7866, 46013, 83940, 11, 18610, 627, 3112, 1148, 315, 27966, 5380, 51, 1936, 288, 70598, 279, 4363, 430, 1053, 3719, 27966, 369, 927, 220, 605, 11, 931, 1667, 1603, 279, 1176, 27470, 51607, 477, 66738, 30517, 291, 1202, 42071, 96241, 13, 578, 46845, 4167, 8040, 264, 357, 10949, 449, 279, 4676, 902, 6244, 29991, 304, 279, 220, 10828, 15, 82, 994, 18742, 490, 28921, 323, 35687, 6137, 311, 1935, 279, 2254, 30405, 627, 2321, 57119, 28788, 8272, 11, 77157, 304, 220, 10336, 23, 994, 12550, 11, 902, 11922, 279, 4363, 1306, 50787, 505, 18157, 304, 220, 10828, 16, 11, 272, 31035, 433, 311, 279, 3723, 4273, 304, 279, 17516, 315, 279, 24160, 24145, 5111, 13, 1556, 28961, 12765, 6244, 264, 18197, 449, 279, 18841, 315, 6761, 304, 7188, 627, 644, 220, 10336, 21, 11, 220, 966, 5636, 3026, 16070, 279, 24941, 23497, 10315, 6312, 11, 6968, 7188, 439, 264, 35544, 13, 4740, 5419, 11249, 11, 7188, 16495, 26360, 311, 279, 9323, 439, 264, 1949, 1614, 11, 91069, 279, 83372, 8335, 3549, 304, 279, 25378, 13620, 5386, 315, 220, 10828, 15, 13, 23072, 18063, 32501, 11, 60213, 311, 64788, 264, 7982, 11501, 11, 11223, 264, 4101, 315, 43595, 311, 1054, 39716, 1097, 292, 2915, 682, 6484, 4860, 315, 26654, 662, 662, 662, 40986, 704, 315, 279, 15244, 315, 33792, 2029, 2435, 1051, 59674, 369, 8254, 4038, 627, 30649, 5602, 279, 13620, 5386, 315, 220, 9741, 15, 11, 93167, 555, 23072, 18587, 31164, 11, 12579, 2225, 15316, 11, 55689, 7188, 439, 264, 1054, 10816, 1614, 2476, 8405, 78090, 52482, 17047, 369, 23195, 323, 1561, 12550, 11, 31692, 264, 8421, 33440, 19254, 11, 37276, 11218, 20985, 6696, 304, 6652, 11, 423, 732, 2637, 323, 1097, 2518, 279, 435, 773, 3486, 60468, 3298, 627, 91722, 315, 11904, 60164, 11, 10213, 25000, 11, 23854, 7069, 555, 6761, 34653, 323, 279, 12876, 369, 31220, 3782, 311, 1054, 10816, 863, 7188, 13, 2435, 26617, 279, 1614, 264, 6220, 14850, 323, 264, 2035, 315, 7100, 6776, 13, 42759, 16941, 1759, 1766, 4040, 6020, 2450, 304, 8405, 3600, 311, 11935, 10977, 315, 1933, 13, 578, 11904, 24145, 7980, 315, 279, 27687, 81649, 31783, 1511, 22613, 311, 3780, 279, 11542, 315, 95389, 889, 991, 95930, 449, 872, 36467, 311, 279, 11935, 5151, 627, 1383, 220, 9741, 20, 11, 4349, 3093, 47317, 1221, 31759, 6137, 311, 3449, 323, 4319, 6468, 75554, 11125, 4251, 1862, 369, 5054, 15180, 13, 4427, 5208, 574, 17427, 11, 719, 3389, 304, 279, 18217, 1135, 82, 279, 3314, 47126, 5946, 264, 2383, 23537, 682, 28296, 3026, 311, 10051, 264, 35947, 24914, 11, 8272, 555, 279, 53057, 423, 1171, 10016, 5597, 320, 52, 815, 13, 13814, 7301, 8, 902, 11224, 320, 32, 48893, 9053, 8, 617, 1054, 2201, 3802, 389, 3778, 2383, 477, 3268, 430, 4251, 3026, 2011, 5201, 113068, 791, 17876, 20160, 11, 2225, 2254, 323, 5426, 11, 1766, 76445, 1705, 323, 463, 59197, 25727, 28424, 9861, 961, 315, 279, 5054, 7829, 13, 578, 39856, 5946, 264, 2254, 435, 773, 3486, 3314, 2383, 11, 93439, 459, 7294, 64683, 5141, 4121, 430, 1053, 617, 27010, 1949, 3776, 323, 32760, 505, 16661, 279, 1614, 13, 11904, 9053, 1051, 15164, 279, 1314, 311, 7055, 477, 311, 3085, 24365, 304, 5590, 1405, 4251, 10495, 1051, 9875, 13, 3142, 8853, 1051, 1101, 92398, 627, 1688, 420, 1486, 11, 1690, 11904, 24145, 3026, 323, 3278, 991, 95930, 311, 19001, 7008, 311, 1833, 279, 56230, 6761, 13270, 11, 13758, 264, 2478, 1667, 3010, 449, 3403, 12205, 311, 3719, 80576, 64156, 315, 7425, 306, 3776, 10977, 323, 37671, 6957, 7188, 627, 3947, 1053, 387, 1690, 20405, 311, 279, 24024, 36903, 627, 2520, 279, 1667, 220, 679, 17, 12, 679, 18, 11, 5751, 15457, 11, 4953, 13, 690, 387, 387, 32689, 279, 220, 3965, 339, 47898, 315, 279, 5867, 1149, 49686, 5907, 323, 1202, 20160, 304, 27966, 13, 1115, 4652, 374, 961, 315, 264, 4101, 430, 690, 387, 4756, 2391, 430, 892, 13, 5321, 2733, 1949, 311, 4319, 6468, 323, 4430, 320, 67309, 705, 4068, 477, 9502, 701, 1866, 9908, 627, 12763, 603, 389, 198, 2028, 2209, 64518, 374, 701, 2592, 369, 10292, 27875, 9678, 11, 2930, 64518, 3754, 323, 4455, 2533, 220, 1049, 24, 13, 1226, 527, 24392, 13234, 323, 24026, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700 ]
[ 128000, 20204, 323, 22521, 2949, 279, 2816, 1253, 6782, 22325, 7902, 13, 1442, 499, 4299, 1555, 323, 1304, 264, 7782, 11, 584, 1253, 5371, 264, 12396, 320, 266, 912, 5217, 2853, 311, 499, 570, 1115, 8779, 1862, 1057, 26743, 323, 6276, 603, 311, 3136, 311, 3041, 499, 1949, 2262, 13, 9930, 499, 369, 701, 1862, 758, 482, 386, 5308, 38, 198, 7269, 374, 17037, 3967, 439, 60745, 281, 60384, 13, 1115, 374, 264, 3044, 430, 374, 9057, 555, 24673, 304, 279, 9048, 5845, 315, 279, 1716, 902, 11384, 1461, 311, 1180, 17380, 72247, 323, 3351, 22009, 13, 356, 486, 42743, 281, 60384, 374, 264, 6129, 19823, 477, 11134, 26, 4869, 11, 1070, 374, 1101, 264, 1376, 315, 23900, 60745, 281, 60384, 627, 2028, 374, 23900, 7863, 311, 60745, 281, 60384, 13, 2684, 527, 264, 2763, 315, 11384, 430, 17210, 311, 23900, 60745, 281, 60384, 13, 4427, 315, 279, 11384, 527, 279, 1890, 439, 430, 315, 60745, 281, 60384, 1193, 430, 11, 279, 26186, 527, 539, 430, 15748, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 649, 6013, 311, 1063, 6299, 323, 15082, 1418, 264, 1716, 449, 15748, 60745, 281, 60384, 1253, 387, 2653, 311, 3568, 449, 323, 814, 4250, 3137, 520, 682, 627, 32, 23900, 60745, 281, 60384, 20682, 279, 1716, 311, 3137, 323, 4320, 1203, 719, 539, 2288, 4832, 13, 68409, 706, 1071, 430, 1070, 527, 922, 9214, 315, 2911, 323, 42534, 527, 29704, 315, 23900, 60745, 281, 60384, 13, 13596, 16579, 315, 433, 527, 29704, 315, 15748, 60745, 281, 60384, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 1253, 2103, 617, 279, 6140, 311, 387, 64688, 449, 4101, 315, 22972, 323, 7106, 15419, 16079, 627, 11458, 11, 433, 690, 539, 1935, 264, 2875, 892, 311, 9395, 4832, 323, 5933, 4787, 1606, 279, 21143, 442, 355, 22077, 1887, 315, 279, 1716, 374, 26186, 902, 2643, 1397, 3361, 9200, 22972, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 649, 2103, 387, 3025, 311, 4048, 2574, 1606, 1063, 315, 279, 33766, 288, 527, 539, 20727, 323, 527, 2103, 4642, 627, 32, 1716, 449, 23900, 60745, 281, 60384, 2643, 1524, 387, 64688, 18182, 304, 279, 1667, 311, 2586, 719, 433, 374, 4869, 50235, 13, 44026, 1288, 387, 1633, 73898, 323, 30598, 422, 872, 1716, 706, 23900, 60745, 281, 60384, 779, 430, 433, 649, 387, 12020, 13, 362, 1716, 753, 9048, 5845, 374, 539, 430, 11754, 449, 23900, 60745, 281, 60384, 323, 374, 17354, 3685, 311, 2349, 29057, 422, 279, 1716, 374, 24450, 627, 7184, 35076, 11, 12074, 323, 14248, 527, 4560, 872, 1633, 1888, 311, 2586, 709, 449, 6992, 22972, 311, 4322, 2911, 889, 527, 29704, 315, 23900, 60745, 281, 60384, 13, 4497, 323, 810, 52312, 617, 1027, 24872, 323, 20041, 311, 7373, 11322, 872, 9021, 627, 2746, 499, 617, 264, 1716, 889, 706, 23900, 60745, 281, 60384, 11, 656, 539, 3041, 709, 389, 1124, 1606, 814, 2103, 617, 279, 6140, 311, 387, 64688, 13, 2052, 499, 617, 311, 656, 374, 311, 2567, 1124, 9498, 555, 7231, 1124, 279, 1314, 3691, 11, 3794, 1124, 1139, 6514, 323, 15419, 7620, 430, 690, 18885, 872, 52192, 5845, 323, 1456, 311, 4639, 1124, 439, 422, 814, 1051, 5933, 9498, 2911, 13, 128001, 128000, 14262, 311, 3365, 3692, 11, 279, 9476, 596, 5211, 3566, 11014, 13, 4314, 6959, 527, 6319, 311, 387, 264, 12827, 315, 23541, 2038, 369, 8420, 323, 4236, 304, 279, 6011, 315, 6498, 13, 5321, 1095, 279, 9476, 5687, 1440, 422, 499, 527, 12153, 311, 1505, 279, 2038, 499, 6056, 323, 584, 3358, 387, 2771, 311, 1772, 433, 369, 279, 1828, 1732, 889, 26737, 433, 627, 791, 16188, 2819, 323, 9021, 584, 27830, 79530, 279, 6650, 315, 1475, 5575, 323, 7124, 279, 4367, 323, 3752, 315, 459, 14689, 3314, 8547, 13, 128001, 128000, 4438, 311, 51187, 420, 828, 304, 12974, 3645, 5380, 54471, 25, 40629, 304, 430, 3363, 627, 76902, 25, 3277, 358, 3373, 904, 2872, 304, 2007, 320, 46864, 2872, 17, 705, 358, 1205, 311, 1893, 264, 27137, 293, 1132, 472, 9204, 12435, 22673, 315, 430, 3363, 320, 1182, 56, 16, 705, 315, 279, 4553, 14189, 3100, 16, 8, 323, 4553, 3314, 320, 50, 16, 4390, 2688, 12756, 2771, 420, 374, 264, 7572, 47, 16471, 3488, 719, 499, 1436, 7995, 1005, 433, 311, 11886, 279, 3575, 11, 8051, 539, 5995, 7041, 439, 499, 7664, 627, 791, 4623, 374, 264, 98993, 21964, 449, 264, 22388, 261, 389, 4409, 1405, 499, 3350, 11193, 430, 2694, 279, 7187, 369, 279, 3363, 11, 14189, 323, 1614, 15947, 13, 384, 1326, 627, 40, 23700, 279, 46255, 389, 15064, 33557, 422, 433, 596, 5505, 627, 12947, 369, 10917, 420, 709, 11, 719, 17354, 11, 602, 1097, 539, 3025, 311, 1296, 420, 1618, 13, 763, 856, 1887, 602, 617, 5274, 220, 679, 18, 11, 323, 279, 11071, 2795, 430, 279, 828, 1646, 3966, 311, 387, 6177, 1603, 602, 649, 1684, 433, 13, 358, 1053, 1456, 1701, 279, 55179, 499, 8621, 627, 2746, 499, 3577, 10619, 323, 1833, 279, 7504, 1243, 433, 690, 2713, 279, 1646, 311, 264, 220, 679, 18, 2373, 627, 644, 420, 25555, 11, 602, 636, 279, 1493, 11, 330, 695, 1646, 3966, 311, 387, 6177, 1603, 602, 649, 1684, 433, 498, 323, 994, 602, 4299, 389, 364, 4012, 6, 304, 279, 1984, 3830, 11, 433, 1120, 61370, 11, 719, 912, 11470, 14607, 7270, 1306, 430, 13, 994, 602, 4299, 389, 279, 25555, 1578, 11, 433, 1578, 19207, 279, 1890, 1493, 13, 11699, 539, 47035, 279, 828, 1646, 9651, 627, 40, 6818, 311, 656, 279, 2713, 323, 358, 1101, 2751, 279, 1493, 0, 13492, 2908, 750, 279, 11193, 527, 279, 1193, 3245, 315, 12939, 0, 128001, 128000, 32, 496, 14609, 388, 449, 279, 3907, 315, 8421, 520, 19816, 617, 1120, 11352, 279, 1455, 9420, 12970, 11841, 3686, 11, 1457, 3967, 439, 98843, 12, 21098, 65, 11, 279, 32014, 58974, 7376, 7950, 627, 6746, 13206, 12, 21098, 65, 374, 279, 18585, 3245, 584, 4070, 1766, 311, 264, 11841, 430, 1253, 1862, 3823, 2324, 11, 4184, 311, 32014, 58974, 46382, 261, 8096, 4060, 75, 13, 1054, 2028, 11841, 374, 4762, 279, 1455, 4528, 311, 9420, 3686, 1766, 2476, 568, 1071, 304, 459, 41537, 627, 1406, 19816, 87887, 11352, 279, 11841, 11, 902, 54068, 1063, 220, 16, 11, 3443, 3177, 1667, 3201, 11, 3318, 449, 22146, 389, 279, 98843, 9131, 2001, 264, 15730, 24045, 10795, 315, 21522, 8967, 311, 18728, 2171, 704, 13893, 14464, 481, 33975, 627, 62066, 753, 3634, 6108, 98843, 56925, 1176, 30652, 279, 11841, 11, 719, 279, 32014, 58974, 574, 2631, 311, 7838, 1401, 4519, 13, 3296, 21630, 279, 1887, 753, 6917, 11, 814, 1051, 3025, 311, 8417, 430, 98843, 12, 21098, 65, 374, 922, 220, 16, 13, 19, 12, 16, 13, 21, 3115, 279, 1404, 315, 9420, 323, 86228, 1202, 6917, 3131, 1475, 220, 18695, 2919, 627, 59150, 2294, 11, 1314, 30, 5046, 3388, 11, 1070, 753, 264, 2339, 13, 1054, 1688, 2212, 220, 16, 13, 20, 3115, 279, 9420, 753, 10801, 1070, 5084, 311, 387, 264, 9320, 2133, 389, 505, 47904, 56617, 33975, 311, 33975, 430, 6782, 810, 4499, 266, 3742, 2001, 220, 1238, 11, 902, 1053, 1304, 433, 264, 13726, 12, 560, 14880, 2476, 4060, 75, 1071, 627, 644, 1023, 4339, 25, 1054, 1687, 1541, 1431, 1440, 422, 433, 753, 264, 2466, 56617, 11841, 477, 422, 433, 753, 264, 13726, 12, 8989, 53014, 2476, 4060, 75, 3779, 13, 2100, 1935, 1884, 12738, 31348, 10255, 17634, 6055, 449, 264, 24875, 315, 12290, 13, 16782, 11, 433, 753, 459, 13548, 323, 38650, 18841, 13, 39616, 14609, 388, 4510, 1070, 1436, 387, 33151, 315, 33975, 304, 279, 1054, 10796, 15729, 10353, 863, 315, 872, 6067, 11, 1093, 98843, 12, 21098, 13, 2100, 3117, 11, 1193, 264, 2678, 1396, 617, 1027, 1766, 627, 15085, 649, 1781, 315, 98843, 12, 21098, 65, 439, 459, 9191, 11, 11493, 36271, 311, 9420, 11, 8405, 459, 6776, 311, 3619, 323, 8881, 5304, 9420, 753, 42028, 4676, 2476, 11497, 98843, 32185, 12565, 45236, 13, 1054, 2181, 374, 51517, 34147, 311, 2980, 430, 420, 11841, 706, 7543, 220, 21, 7239, 1667, 304, 279, 14464, 481, 10353, 315, 1202, 6917, 11, 5129, 1109, 9420, 13, 3011, 753, 12190, 6776, 369, 2324, 311, 31889, 11, 1288, 682, 279, 5995, 14293, 323, 4787, 369, 2324, 3073, 389, 420, 11841, 49216, 1687, 4070, 3967, 369, 264, 1418, 430, 26639, 19816, 374, 264, 12624, 75214, 2001, 439, 7978, 617, 6982, 2001, 719, 420, 374, 1120, 1022, 10826, 11843, 7183, 7155, 13, 12424, 311, 733, 0, 128001, 128000, 55132, 41932, 6978, 5068, 220, 1041, 824, 2960, 24617, 304, 279, 5652, 10795, 555, 279, 6460, 315, 9635, 20423, 41932, 5475, 37381, 17236, 320, 7244, 6483, 4390, 39782, 220, 1954, 1274, 16846, 311, 279, 6287, 8893, 3217, 10795, 11, 449, 1475, 67988, 3060, 3451, 82, 47365, 529, 477, 3451, 1225, 20097, 529, 627, 11458, 8254, 824, 2960, 315, 6978, 1101, 7633, 279, 11879, 304, 279, 51632, 439, 3451, 359, 19975, 481, 529, 477, 1633, 3451, 359, 19975, 481, 529, 627, 48781, 10690, 11, 7690, 315, 2532, 9889, 11, 1071, 25, 1054, 2181, 374, 14964, 311, 1518, 33689, 3135, 304, 420, 5652, 8893, 10795, 11, 584, 37106, 311, 3493, 264, 6926, 2237, 315, 9250, 8893, 2512, 449, 279, 8592, 8547, 315, 66429, 13, 128001, 128000, 33327, 220, 508, 11, 220, 1049, 21, 13, 13538, 8993, 11, 6267, 856, 99902, 5643, 11, 902, 3782, 1139, 856, 4059, 439, 358, 14980, 449, 856, 1203, 311, 279, 4027, 11, 323, 65657, 389, 311, 279, 4272, 449, 18404, 596, 4732, 13, 26550, 750, 459, 80163, 367, 627, 9422, 220, 17, 25, 1102, 706, 1027, 14618, 704, 311, 757, 430, 6664, 220, 845, 11, 220, 10336, 20, 574, 3604, 264, 7950, 627, 9422, 220, 18, 25, 358, 2980, 7182, 90833, 311, 387, 279, 1193, 99902, 4562, 311, 617, 1047, 264, 4617, 473, 19, 55, 15, 49, 18, 35, 555, 279, 220, 9423, 22, 220, 16, 81, 19, 77, 975, 77, 330, 53856, 16618, 2194, 14434, 8398, 8068, 3343, 54504, 358, 4097, 264, 5199, 6023, 311, 872, 7140, 11, 477, 2555, 627, 2746, 499, 4254, 323, 5982, 311, 701, 2759, 499, 649, 1984, 364, 30285, 69, 5412, 6, 2167, 505, 420, 2199, 13, 128001 ]
[ -100, 20204, 323, 22521, 2949, 279, 2816, 1253, 6782, 22325, 7902, 13, 1442, 499, 4299, 1555, 323, 1304, 264, 7782, 11, 584, 1253, 5371, 264, 12396, 320, 266, 912, 5217, 2853, 311, 499, 570, 1115, 8779, 1862, 1057, 26743, 323, 6276, 603, 311, 3136, 311, 3041, 499, 1949, 2262, 13, 9930, 499, 369, 701, 1862, 758, 482, 386, 5308, 38, 198, 7269, 374, 17037, 3967, 439, 60745, 281, 60384, 13, 1115, 374, 264, 3044, 430, 374, 9057, 555, 24673, 304, 279, 9048, 5845, 315, 279, 1716, 902, 11384, 1461, 311, 1180, 17380, 72247, 323, 3351, 22009, 13, 356, 486, 42743, 281, 60384, 374, 264, 6129, 19823, 477, 11134, 26, 4869, 11, 1070, 374, 1101, 264, 1376, 315, 23900, 60745, 281, 60384, 627, 2028, 374, 23900, 7863, 311, 60745, 281, 60384, 13, 2684, 527, 264, 2763, 315, 11384, 430, 17210, 311, 23900, 60745, 281, 60384, 13, 4427, 315, 279, 11384, 527, 279, 1890, 439, 430, 315, 60745, 281, 60384, 1193, 430, 11, 279, 26186, 527, 539, 430, 15748, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 649, 6013, 311, 1063, 6299, 323, 15082, 1418, 264, 1716, 449, 15748, 60745, 281, 60384, 1253, 387, 2653, 311, 3568, 449, 323, 814, 4250, 3137, 520, 682, 627, 32, 23900, 60745, 281, 60384, 20682, 279, 1716, 311, 3137, 323, 4320, 1203, 719, 539, 2288, 4832, 13, 68409, 706, 1071, 430, 1070, 527, 922, 9214, 315, 2911, 323, 42534, 527, 29704, 315, 23900, 60745, 281, 60384, 13, 13596, 16579, 315, 433, 527, 29704, 315, 15748, 60745, 281, 60384, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 1253, 2103, 617, 279, 6140, 311, 387, 64688, 449, 4101, 315, 22972, 323, 7106, 15419, 16079, 627, 11458, 11, 433, 690, 539, 1935, 264, 2875, 892, 311, 9395, 4832, 323, 5933, 4787, 1606, 279, 21143, 442, 355, 22077, 1887, 315, 279, 1716, 374, 26186, 902, 2643, 1397, 3361, 9200, 22972, 13, 362, 1716, 449, 23900, 60745, 281, 60384, 649, 2103, 387, 3025, 311, 4048, 2574, 1606, 1063, 315, 279, 33766, 288, 527, 539, 20727, 323, 527, 2103, 4642, 627, 32, 1716, 449, 23900, 60745, 281, 60384, 2643, 1524, 387, 64688, 18182, 304, 279, 1667, 311, 2586, 719, 433, 374, 4869, 50235, 13, 44026, 1288, 387, 1633, 73898, 323, 30598, 422, 872, 1716, 706, 23900, 60745, 281, 60384, 779, 430, 433, 649, 387, 12020, 13, 362, 1716, 753, 9048, 5845, 374, 539, 430, 11754, 449, 23900, 60745, 281, 60384, 323, 374, 17354, 3685, 311, 2349, 29057, 422, 279, 1716, 374, 24450, 627, 7184, 35076, 11, 12074, 323, 14248, 527, 4560, 872, 1633, 1888, 311, 2586, 709, 449, 6992, 22972, 311, 4322, 2911, 889, 527, 29704, 315, 23900, 60745, 281, 60384, 13, 4497, 323, 810, 52312, 617, 1027, 24872, 323, 20041, 311, 7373, 11322, 872, 9021, 627, 2746, 499, 617, 264, 1716, 889, 706, 23900, 60745, 281, 60384, 11, 656, 539, 3041, 709, 389, 1124, 1606, 814, 2103, 617, 279, 6140, 311, 387, 64688, 13, 2052, 499, 617, 311, 656, 374, 311, 2567, 1124, 9498, 555, 7231, 1124, 279, 1314, 3691, 11, 3794, 1124, 1139, 6514, 323, 15419, 7620, 430, 690, 18885, 872, 52192, 5845, 323, 1456, 311, 4639, 1124, 439, 422, 814, 1051, 5933, 9498, 2911, 13, 128001, -100, 14262, 311, 3365, 3692, 11, 279, 9476, 596, 5211, 3566, 11014, 13, 4314, 6959, 527, 6319, 311, 387, 264, 12827, 315, 23541, 2038, 369, 8420, 323, 4236, 304, 279, 6011, 315, 6498, 13, 5321, 1095, 279, 9476, 5687, 1440, 422, 499, 527, 12153, 311, 1505, 279, 2038, 499, 6056, 323, 584, 3358, 387, 2771, 311, 1772, 433, 369, 279, 1828, 1732, 889, 26737, 433, 627, 791, 16188, 2819, 323, 9021, 584, 27830, 79530, 279, 6650, 315, 1475, 5575, 323, 7124, 279, 4367, 323, 3752, 315, 459, 14689, 3314, 8547, 13, 128001, -100, 4438, 311, 51187, 420, 828, 304, 12974, 3645, 5380, 54471, 25, 40629, 304, 430, 3363, 627, 76902, 25, 3277, 358, 3373, 904, 2872, 304, 2007, 320, 46864, 2872, 17, 705, 358, 1205, 311, 1893, 264, 27137, 293, 1132, 472, 9204, 12435, 22673, 315, 430, 3363, 320, 1182, 56, 16, 705, 315, 279, 4553, 14189, 3100, 16, 8, 323, 4553, 3314, 320, 50, 16, 4390, 2688, 12756, 2771, 420, 374, 264, 7572, 47, 16471, 3488, 719, 499, 1436, 7995, 1005, 433, 311, 11886, 279, 3575, 11, 8051, 539, 5995, 7041, 439, 499, 7664, 627, 791, 4623, 374, 264, 98993, 21964, 449, 264, 22388, 261, 389, 4409, 1405, 499, 3350, 11193, 430, 2694, 279, 7187, 369, 279, 3363, 11, 14189, 323, 1614, 15947, 13, 384, 1326, 627, 40, 23700, 279, 46255, 389, 15064, 33557, 422, 433, 596, 5505, 627, 12947, 369, 10917, 420, 709, 11, 719, 17354, 11, 602, 1097, 539, 3025, 311, 1296, 420, 1618, 13, 763, 856, 1887, 602, 617, 5274, 220, 679, 18, 11, 323, 279, 11071, 2795, 430, 279, 828, 1646, 3966, 311, 387, 6177, 1603, 602, 649, 1684, 433, 13, 358, 1053, 1456, 1701, 279, 55179, 499, 8621, 627, 2746, 499, 3577, 10619, 323, 1833, 279, 7504, 1243, 433, 690, 2713, 279, 1646, 311, 264, 220, 679, 18, 2373, 627, 644, 420, 25555, 11, 602, 636, 279, 1493, 11, 330, 695, 1646, 3966, 311, 387, 6177, 1603, 602, 649, 1684, 433, 498, 323, 994, 602, 4299, 389, 364, 4012, 6, 304, 279, 1984, 3830, 11, 433, 1120, 61370, 11, 719, 912, 11470, 14607, 7270, 1306, 430, 13, 994, 602, 4299, 389, 279, 25555, 1578, 11, 433, 1578, 19207, 279, 1890, 1493, 13, 11699, 539, 47035, 279, 828, 1646, 9651, 627, 40, 6818, 311, 656, 279, 2713, 323, 358, 1101, 2751, 279, 1493, 0, 13492, 2908, 750, 279, 11193, 527, 279, 1193, 3245, 315, 12939, 0, 128001, -100, 32, 496, 14609, 388, 449, 279, 3907, 315, 8421, 520, 19816, 617, 1120, 11352, 279, 1455, 9420, 12970, 11841, 3686, 11, 1457, 3967, 439, 98843, 12, 21098, 65, 11, 279, 32014, 58974, 7376, 7950, 627, 6746, 13206, 12, 21098, 65, 374, 279, 18585, 3245, 584, 4070, 1766, 311, 264, 11841, 430, 1253, 1862, 3823, 2324, 11, 4184, 311, 32014, 58974, 46382, 261, 8096, 4060, 75, 13, 1054, 2028, 11841, 374, 4762, 279, 1455, 4528, 311, 9420, 3686, 1766, 2476, 568, 1071, 304, 459, 41537, 627, 1406, 19816, 87887, 11352, 279, 11841, 11, 902, 54068, 1063, 220, 16, 11, 3443, 3177, 1667, 3201, 11, 3318, 449, 22146, 389, 279, 98843, 9131, 2001, 264, 15730, 24045, 10795, 315, 21522, 8967, 311, 18728, 2171, 704, 13893, 14464, 481, 33975, 627, 62066, 753, 3634, 6108, 98843, 56925, 1176, 30652, 279, 11841, 11, 719, 279, 32014, 58974, 574, 2631, 311, 7838, 1401, 4519, 13, 3296, 21630, 279, 1887, 753, 6917, 11, 814, 1051, 3025, 311, 8417, 430, 98843, 12, 21098, 65, 374, 922, 220, 16, 13, 19, 12, 16, 13, 21, 3115, 279, 1404, 315, 9420, 323, 86228, 1202, 6917, 3131, 1475, 220, 18695, 2919, 627, 59150, 2294, 11, 1314, 30, 5046, 3388, 11, 1070, 753, 264, 2339, 13, 1054, 1688, 2212, 220, 16, 13, 20, 3115, 279, 9420, 753, 10801, 1070, 5084, 311, 387, 264, 9320, 2133, 389, 505, 47904, 56617, 33975, 311, 33975, 430, 6782, 810, 4499, 266, 3742, 2001, 220, 1238, 11, 902, 1053, 1304, 433, 264, 13726, 12, 560, 14880, 2476, 4060, 75, 1071, 627, 644, 1023, 4339, 25, 1054, 1687, 1541, 1431, 1440, 422, 433, 753, 264, 2466, 56617, 11841, 477, 422, 433, 753, 264, 13726, 12, 8989, 53014, 2476, 4060, 75, 3779, 13, 2100, 1935, 1884, 12738, 31348, 10255, 17634, 6055, 449, 264, 24875, 315, 12290, 13, 16782, 11, 433, 753, 459, 13548, 323, 38650, 18841, 13, 39616, 14609, 388, 4510, 1070, 1436, 387, 33151, 315, 33975, 304, 279, 1054, 10796, 15729, 10353, 863, 315, 872, 6067, 11, 1093, 98843, 12, 21098, 13, 2100, 3117, 11, 1193, 264, 2678, 1396, 617, 1027, 1766, 627, 15085, 649, 1781, 315, 98843, 12, 21098, 65, 439, 459, 9191, 11, 11493, 36271, 311, 9420, 11, 8405, 459, 6776, 311, 3619, 323, 8881, 5304, 9420, 753, 42028, 4676, 2476, 11497, 98843, 32185, 12565, 45236, 13, 1054, 2181, 374, 51517, 34147, 311, 2980, 430, 420, 11841, 706, 7543, 220, 21, 7239, 1667, 304, 279, 14464, 481, 10353, 315, 1202, 6917, 11, 5129, 1109, 9420, 13, 3011, 753, 12190, 6776, 369, 2324, 311, 31889, 11, 1288, 682, 279, 5995, 14293, 323, 4787, 369, 2324, 3073, 389, 420, 11841, 49216, 1687, 4070, 3967, 369, 264, 1418, 430, 26639, 19816, 374, 264, 12624, 75214, 2001, 439, 7978, 617, 6982, 2001, 719, 420, 374, 1120, 1022, 10826, 11843, 7183, 7155, 13, 12424, 311, 733, 0, 128001, -100, 55132, 41932, 6978, 5068, 220, 1041, 824, 2960, 24617, 304, 279, 5652, 10795, 555, 279, 6460, 315, 9635, 20423, 41932, 5475, 37381, 17236, 320, 7244, 6483, 4390, 39782, 220, 1954, 1274, 16846, 311, 279, 6287, 8893, 3217, 10795, 11, 449, 1475, 67988, 3060, 3451, 82, 47365, 529, 477, 3451, 1225, 20097, 529, 627, 11458, 8254, 824, 2960, 315, 6978, 1101, 7633, 279, 11879, 304, 279, 51632, 439, 3451, 359, 19975, 481, 529, 477, 1633, 3451, 359, 19975, 481, 529, 627, 48781, 10690, 11, 7690, 315, 2532, 9889, 11, 1071, 25, 1054, 2181, 374, 14964, 311, 1518, 33689, 3135, 304, 420, 5652, 8893, 10795, 11, 584, 37106, 311, 3493, 264, 6926, 2237, 315, 9250, 8893, 2512, 449, 279, 8592, 8547, 315, 66429, 13, 128001, -100, 33327, 220, 508, 11, 220, 1049, 21, 13, 13538, 8993, 11, 6267, 856, 99902, 5643, 11, 902, 3782, 1139, 856, 4059, 439, 358, 14980, 449, 856, 1203, 311, 279, 4027, 11, 323, 65657, 389, 311, 279, 4272, 449, 18404, 596, 4732, 13, 26550, 750, 459, 80163, 367, 627, 9422, 220, 17, 25, 1102, 706, 1027, 14618, 704, 311, 757, 430, 6664, 220, 845, 11, 220, 10336, 20, 574, 3604, 264, 7950, 627, 9422, 220, 18, 25, 358, 2980, 7182, 90833, 311, 387, 279, 1193, 99902, 4562, 311, 617, 1047, 264, 4617, 473, 19, 55, 15, 49, 18, 35, 555, 279, 220, 9423, 22, 220, 16, 81, 19, 77, 975, 77, 330, 53856, 16618, 2194, 14434, 8398, 8068, 3343, 54504, 358, 4097, 264, 5199, 6023, 311, 872, 7140, 11, 477, 2555, 627, 2746, 499, 4254, 323, 5982, 311, 701, 2759, 499, 649, 1984, 364, 30285, 69, 5412, 6, 2167, 505, 420, 2199, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153 ]
[ 128000, 2822, 5030, 1148, 46746, 4791, 1824, 455, 14747, 3465, 706, 7263, 499, 1618, 11, 86325, 596, 281, 21719, 311, 26446, 28157, 374, 1618, 520, 701, 2532, 4999, 3923, 527, 281, 21719, 323, 26446, 5380, 47, 21719, 323, 26446, 527, 1403, 73348, 8316, 315, 8286, 11, 1455, 5526, 304, 279, 2326, 11, 6560, 11, 323, 14990, 13, 2435, 527, 24716, 994, 584, 3137, 320, 269, 3350, 8, 922, 3691, 323, 21662, 25, 311, 3371, 1268, 1790, 13179, 499, 54244, 1566, 3814, 477, 311, 10552, 1268, 1790, 3090, 320, 269, 1023, 14812, 8, 477, 20228, 374, 4460, 304, 264, 11363, 627, 10438, 584, 10552, 1268, 311, 5625, 281, 21719, 311, 26446, 11, 1095, 596, 6420, 430, 281, 21719, 527, 3629, 95875, 439, 330, 418, 1, 323, 26446, 439, 330, 66, 1, 477, 330, 34, 1210, 3011, 596, 3249, 279, 46746, 4791, 1824, 455, 14747, 374, 7170, 3453, 9437, 27851, 439, 330, 418, 311, 272, 1, 14747, 627, 4438, 311, 5625, 281, 21719, 311, 26446, 5380, 791, 5133, 1990, 26446, 323, 281, 21719, 323, 1023, 5552, 8316, 374, 279, 2768, 512, 2170, 584, 649, 1518, 11, 832, 46746, 374, 6273, 311, 1403, 26446, 11, 779, 311, 5625, 281, 21719, 311, 26446, 11, 584, 1120, 1205, 311, 31370, 555, 220, 17, 279, 8286, 304, 281, 21719, 311, 5625, 433, 311, 26446, 627, 11663, 86325, 596, 8286, 14747, 7526, 198, 4438, 1690, 26446, 374, 220, 16, 46746, 5380, 4054, 46746, 374, 1403, 26446, 13, 2057, 5625, 11051, 311, 272, 11, 499, 1205, 311, 1935, 279, 8286, 304, 281, 21719, 323, 31370, 433, 555, 279, 8331, 315, 1403, 627, 4438, 656, 358, 5625, 4376, 264, 46746, 311, 26446, 5380, 16, 14, 17, 46746, 374, 220, 16, 10747, 13, 1115, 374, 1606, 220, 16, 46746, 374, 220, 17, 26446, 11, 779, 34537, 220, 16, 14, 17, 46746, 311, 26446, 7612, 279, 2768, 22702, 512, 17, 25800, 220, 16, 14, 17, 11051, 284, 220, 16, 272, 627, 4438, 1690, 26446, 527, 304, 264, 46746, 5380, 3947, 527, 2744, 1403, 26446, 304, 832, 46746, 13, 763, 1023, 4339, 11, 832, 10747, 374, 4376, 264, 46746, 13, 128001, 128000, 10902, 10979, 34576, 3445, 430, 499, 527, 539, 1193, 72815, 1113, 701, 45274, 719, 1101, 90255, 7154, 1475, 2942, 315, 701, 2547, 13, 17559, 2890, 94812, 11, 2737, 279, 40409, 11, 1934, 430, 20149, 34576, 374, 832, 315, 279, 6522, 5471, 481, 4648, 11384, 304, 5270, 627, 35502, 2038, 5039, 430, 19094, 2890, 4787, 323, 4648, 15635, 527, 810, 4279, 304, 57757, 1109, 1274, 449, 279, 2768, 4787, 323, 9547, 512, 12, 45396, 1005, 198, 12, 6785, 2227, 14228, 33788, 323, 16779, 198, 12, 1322, 93617, 5623, 10648, 198, 7927, 8071, 2890, 374, 832, 315, 279, 3682, 10742, 994, 433, 4131, 311, 20958, 8244, 2890, 323, 5496, 264, 26733, 11, 9498, 19433, 13, 15636, 11, 28118, 279, 11376, 14228, 5435, 323, 15748, 8071, 3044, 15635, 4245, 311, 20149, 374, 9200, 627, 10445, 374, 73699, 92071, 1285, 311, 4718, 6401, 5380, 43066, 287, 27531, 1555, 20149, 477, 904, 1023, 1376, 374, 28856, 311, 701, 2890, 13, 1102, 5727, 7701, 57407, 26333, 430, 5376, 279, 5326, 369, 21249, 2890, 4787, 13, 3277, 499, 16603, 264, 36213, 11, 499, 29241, 701, 2547, 311, 7154, 220, 19, 11, 931, 72815, 1113, 323, 28856, 11742, 33155, 13, 15636, 11, 433, 374, 48696, 311, 2980, 279, 6129, 25949, 315, 1778, 26333, 389, 701, 1664, 33851, 323, 701, 6548, 529, 2890, 627, 4438, 12838, 73699, 362, 1740, 4718, 31541, 5380, 4599, 499, 60537, 1604, 27531, 304, 279, 1376, 315, 264, 36213, 11, 28856, 62186, 3810, 701, 100216, 1555, 701, 45274, 13, 4314, 62186, 649, 5944, 311, 7154, 1475, 2942, 315, 701, 2547, 11, 323, 430, 753, 3249, 6548, 527, 1101, 47281, 13, 15483, 62186, 11682, 279, 9498, 7917, 323, 10006, 826, 304, 279, 6485, 6070, 315, 701, 6548, 13, 32140, 11, 814, 5353, 264, 4101, 315, 2204, 8071, 323, 11376, 14228, 5435, 11, 1778, 439, 272, 6526, 11613, 11, 9155, 1299, 5367, 17699, 11, 71975, 2160, 258, 54042, 11, 5099, 627, 11076, 31541, 12, 11948, 45635, 24586, 311, 73699, 198, 8586, 753, 264, 10015, 1160, 315, 279, 3682, 2890, 323, 11376, 14228, 4819, 430, 31889, 4245, 311, 8987, 11, 4725, 11, 323, 1524, 30883, 20149, 26870, 13, 12040, 264, 1427, 512, 34, 6526, 11613, 8464, 311, 279, 18488, 315, 9624, 12970, 4251, 19252, 304, 279, 2867, 36057, 304, 701, 6548, 13, 1115, 9624, 287, 649, 57780, 279, 11376, 323, 5353, 7276, 477, 2860, 11376, 53317, 627, 2409, 2840, 2933, 82945, 11, 701, 81209, 32015, 47521, 505, 5674, 13, 1115, 32015, 374, 8647, 369, 78768, 9302, 2038, 311, 701, 8271, 304, 279, 1376, 315, 17738, 430, 1520, 1376, 5448, 304, 701, 4059, 13, 4452, 11, 439, 279, 81209, 32015, 14865, 311, 734, 11, 499, 1253, 1212, 311, 9229, 701, 11376, 27115, 13, 4802, 398, 11, 433, 13980, 449, 279, 4814, 315, 3185, 11376, 323, 374, 19029, 43426, 2085, 6593, 21623, 627, 14260, 7553, 1299, 58337, 17699, 198, 3947, 527, 1403, 4595, 315, 9155, 1299, 5367, 17699, 13, 31941, 9155, 1299, 5367, 17699, 13980, 994, 279, 84827, 11704, 5674, 505, 27639, 40085, 34751, 1234, 433, 13, 82671, 11, 994, 6680, 31080, 2212, 323, 3221, 279, 84827, 1212, 311, 5367, 13523, 11, 24237, 11, 477, 1464, 11, 433, 374, 3967, 439, 14739, 9155, 1299, 5367, 17699, 627, 644, 2225, 4787, 11, 6978, 1212, 311, 9229, 872, 11376, 3060, 27115, 477, 27076, 2740, 11, 11911, 389, 279, 2237, 315, 31020, 627, 50179, 311, 11736, 54652, 73699, 198, 95045, 922, 69184, 20149, 30, 1102, 374, 264, 1695, 4623, 1606, 584, 617, 1193, 14407, 264, 2478, 315, 279, 1690, 11376, 14228, 4819, 499, 1436, 3663, 4245, 311, 20149, 13, 9934, 311, 5766, 22639, 430, 21736, 20149, 13, 42427, 858, 287, 2680, 311, 34576, 374, 264, 3682, 3094, 311, 26991, 701, 14464, 11, 3508, 433, 374, 990, 11, 2162, 11, 449, 4885, 11, 477, 12660, 775, 627, 2181, 374, 1888, 311, 6056, 6593, 1520, 323, 6514, 304, 1162, 279, 30836, 13803, 1212, 311, 5536, 701, 8244, 2890, 323, 3063, 311, 6129, 13803, 627, 7927, 2890, 374, 701, 8706, 10844, 994, 433, 4131, 311, 22128, 323, 5496, 701, 2324, 311, 279, 77796, 13, 31541, 14228, 5435, 4245, 311, 20149, 527, 264, 3682, 4747, 13, 20556, 264, 6593, 6335, 477, 3469, 4512, 2889, 311, 2686, 279, 8071, 5435, 430, 499, 1781, 527, 4245, 311, 20149, 477, 904, 1023, 5353, 13, 128001, 128000, 1305, 30970, 11, 92817, 82044, 612, 6383, 1414, 822, 25, 18122, 1960, 532, 94641, 304, 279, 473, 3518, 10481, 17991, 5683, 7053, 14319, 8329, 5825, 264, 9200, 4007, 315, 83081, 15180, 388, 304, 16852, 467, 11, 34833, 264, 17271, 3235, 1148, 374, 1457, 279, 100170, 11628, 107394, 1122, 3973, 11, 323, 14385, 439, 264, 1162, 4007, 369, 279, 2800, 315, 279, 473, 3518, 10481, 24540, 5683, 7053, 3973, 8329, 13, 26891, 374, 2728, 311, 279, 58069, 473, 3518, 10481, 82, 11, 4270, 21846, 311, 279, 15180, 388, 11, 889, 16495, 311, 11142, 55205, 44808, 89, 6, 83081, 330, 96315, 22676, 8993, 1, 1646, 430, 1053, 3493, 279, 473, 3518, 10481, 82, 279, 3445, 311, 9407, 872, 90503, 19399, 927, 279, 5654, 369, 11026, 13, 12220, 420, 892, 11, 1070, 1051, 2380, 7931, 889, 1051, 26154, 304, 31692, 420, 7351, 25, 15180, 261, 323, 17377, 46588, 36283, 355, 1183, 30970, 11, 83081, 69050, 11291, 7043, 6383, 1414, 822, 11, 323, 58069, 35482, 1543, 25844, 92817, 82044, 11, 279, 15629, 315, 8884, 6476, 264, 8792, 3560, 304, 78768, 6995, 89545, 14807, 315, 68201, 323, 55806, 950, 22755, 1139, 16852, 467, 1555, 813, 4443, 4009, 11, 902, 8738, 311, 1520, 3139, 279, 473, 3518, 10481, 26436, 315, 10383, 323, 20162, 311, 872, 8294, 5915, 482, 10494, 279, 24881, 316, 598, 704, 13, 2052, 2380, 3026, 9749, 14488, 315, 1862, 2737, 28289, 24070, 51971, 323, 30791, 1050, 10365, 11, 39661, 389, 872, 14488, 8936, 750, 311, 9041, 872, 10082, 323, 39075, 1862, 1124, 13, 578, 1005, 315, 279, 83081, 330, 96315, 22676, 8993, 1, 1646, 78864, 459, 4879, 311, 5813, 264, 83081, 58473, 323, 8993, 19812, 304, 60495, 1122, 323, 100170, 12098, 555, 3339, 1124, 29947, 311, 279, 15481, 15180, 261, 8647, 369, 1798, 9585, 4359, 398, 35460, 323, 279, 837, 10082, 627, 25584, 26312, 13133, 906, 258, 10187, 264, 2405, 920, 13, 304, 1050, 1659, 11346, 505, 279, 3907, 315, 7188, 11, 63941, 323, 374, 5131, 22103, 17054, 315, 11346, 520, 32492, 3907, 13, 1115, 17009, 374, 279, 1121, 315, 3495, 2884, 449, 264, 48550, 73216, 5364, 613, 24668, 304, 220, 679, 16, 12, 679, 17, 439, 1664, 439, 1520, 505, 279, 3907, 315, 7188, 11, 63941, 44825, 6826, 13, 128001, 128000, 11030, 2839, 3727, 709, 1034, 15, 13, 11908, 315, 279, 31319, 34248, 7187, 11, 449, 264, 2860, 315, 220, 4103, 11, 18058, 1274, 11, 7863, 311, 279, 31319, 34248, 2860, 315, 220, 18, 11, 23493, 11, 25779, 627, 791, 24478, 77073, 33620, 369, 220, 11030, 2839, 374, 400, 1627, 11, 18831, 7863, 311, 279, 31319, 34248, 5578, 315, 400, 966, 11, 20911, 627, 791, 63690, 4783, 5273, 369, 220, 11030, 2839, 374, 400, 4386, 11, 3443, 7863, 311, 279, 31319, 34248, 5578, 315, 400, 4364, 11, 2636, 627, 791, 63690, 13381, 369, 220, 11030, 2839, 374, 220, 2137, 13, 410, 7863, 311, 279, 31319, 34248, 23369, 315, 220, 1987, 13, 410, 627, 791, 16729, 18589, 892, 311, 990, 369, 220, 11030, 2839, 374, 220, 777, 13, 1954, 4520, 11, 7863, 311, 279, 31319, 34248, 3152, 315, 220, 1682, 13, 2614, 4520, 627, 2946, 13, 2946, 4, 315, 279, 7187, 304, 220, 11030, 2839, 617, 5929, 13201, 277, 23946, 11, 7863, 311, 279, 31319, 34248, 7187, 11, 304, 902, 220, 1399, 13, 4767, 4, 617, 5929, 13201, 277, 23946, 627, 1272, 13, 3174, 4, 315, 279, 7187, 304, 220, 11030, 2839, 617, 8868, 13201, 277, 23946, 11, 7863, 311, 279, 31319, 34248, 7187, 11, 304, 902, 220, 2137, 13, 1187, 4, 617, 8868, 13201, 277, 23946, 13, 128001, 128000, 845, 13, 330, 29303, 3104, 54304, 16828, 10829, 702, 791, 4754, 8137, 315, 59862, 16603, 69087, 574, 39048, 439, 198, 64, 330, 16241, 272, 56878, 1, 3446, 1566, 1060, 13, 1102, 374, 1694, 5790, 50615, 198, 11536, 1070, 374, 2103, 264, 25237, 339, 315, 10401, 389, 279, 3917, 323, 1606, 198, 1073, 279, 8738, 24716, 6412, 323, 8141, 315, 420, 955, 315, 16603, 198, 791, 59862, 11, 477, 28772, 1534, 11, 32314, 5727, 2340, 2411, 12, 13341, 11, 264, 21503, 198, 2008, 1333, 902, 15783, 24031, 304, 279, 20438, 315, 12966, 323, 11012, 13, 9843, 198, 287, 10185, 11, 2340, 2411, 11031, 505, 279, 80311, 42929, 1139, 279, 100216, 198, 936, 985, 26587, 323, 17685, 9572, 627, 28079, 2411, 706, 264, 59862, 4376, 2324, 315, 220, 16551, 1667, 627, 2746, 832, 315, 1521, 16603, 69087, 374, 20727, 304, 279, 2162, 11, 1070, 374, 4754, 198, 32550, 311, 279, 19504, 13, 51859, 527, 2103, 539, 8010, 315, 279, 52642, 315, 198, 12924, 7323, 311, 7487, 477, 4027, 5794, 994, 11039, 27176, 627, 791, 69087, 5694, 617, 264, 2324, 315, 922, 220, 868, 1667, 11, 323, 279, 17032, 198, 2079, 7980, 311, 471, 279, 69087, 311, 1124, 369, 1380, 24621, 278, 311, 459, 198, 33912, 11499, 12571, 34545, 2816, 627, 11458, 11, 433, 374, 8965, 7378, 430, 2478, 315, 279, 7980, 315, 59862, 198, 3647, 4845, 69087, 690, 23846, 420, 10163, 902, 374, 17124, 389, 279, 32314, 198, 791, 14691, 6412, 323, 8141, 315, 59862, 16603, 69087, 198, 438, 279, 3772, 596, 8060, 311, 5225, 279, 586, 315, 279, 4754, 52642, 198, 1073, 279, 32314, 81007, 420, 3446, 369, 29804, 439, 832, 315, 279, 330, 16241, 198, 66, 56878, 1, 7493, 315, 220, 4468, 23, 627, 9685, 535, 11, 3297, 11, 220, 4468, 23, 11, 281, 13, 220, 806, 11, 330, 77980, 80119, 423, 14381, 10246, 9685, 535, 11, 6287, 11, 220, 4468, 22, 11, 281, 13, 220, 1313, 11, 330, 23389, 1516, 25, 54304, 16828, 10829, 3297, 198, 3513, 74132, 311, 4718, 6401, 10246, 3648, 4410, 11, 6287, 220, 1591, 11, 220, 4468, 23, 11, 281, 13, 220, 4044, 11, 330, 77980, 10523, 304, 4718, 43096, 43352, 1729, 65298, 4584, 1692, 355, 13, 128001 ]
[ -100, 2822, 5030, 1148, 46746, 4791, 1824, 455, 14747, 3465, 706, 7263, 499, 1618, 11, 86325, 596, 281, 21719, 311, 26446, 28157, 374, 1618, 520, 701, 2532, 4999, 3923, 527, 281, 21719, 323, 26446, 5380, 47, 21719, 323, 26446, 527, 1403, 73348, 8316, 315, 8286, 11, 1455, 5526, 304, 279, 2326, 11, 6560, 11, 323, 14990, 13, 2435, 527, 24716, 994, 584, 3137, 320, 269, 3350, 8, 922, 3691, 323, 21662, 25, 311, 3371, 1268, 1790, 13179, 499, 54244, 1566, 3814, 477, 311, 10552, 1268, 1790, 3090, 320, 269, 1023, 14812, 8, 477, 20228, 374, 4460, 304, 264, 11363, 627, 10438, 584, 10552, 1268, 311, 5625, 281, 21719, 311, 26446, 11, 1095, 596, 6420, 430, 281, 21719, 527, 3629, 95875, 439, 330, 418, 1, 323, 26446, 439, 330, 66, 1, 477, 330, 34, 1210, 3011, 596, 3249, 279, 46746, 4791, 1824, 455, 14747, 374, 7170, 3453, 9437, 27851, 439, 330, 418, 311, 272, 1, 14747, 627, 4438, 311, 5625, 281, 21719, 311, 26446, 5380, 791, 5133, 1990, 26446, 323, 281, 21719, 323, 1023, 5552, 8316, 374, 279, 2768, 512, 2170, 584, 649, 1518, 11, 832, 46746, 374, 6273, 311, 1403, 26446, 11, 779, 311, 5625, 281, 21719, 311, 26446, 11, 584, 1120, 1205, 311, 31370, 555, 220, 17, 279, 8286, 304, 281, 21719, 311, 5625, 433, 311, 26446, 627, 11663, 86325, 596, 8286, 14747, 7526, 198, 4438, 1690, 26446, 374, 220, 16, 46746, 5380, 4054, 46746, 374, 1403, 26446, 13, 2057, 5625, 11051, 311, 272, 11, 499, 1205, 311, 1935, 279, 8286, 304, 281, 21719, 323, 31370, 433, 555, 279, 8331, 315, 1403, 627, 4438, 656, 358, 5625, 4376, 264, 46746, 311, 26446, 5380, 16, 14, 17, 46746, 374, 220, 16, 10747, 13, 1115, 374, 1606, 220, 16, 46746, 374, 220, 17, 26446, 11, 779, 34537, 220, 16, 14, 17, 46746, 311, 26446, 7612, 279, 2768, 22702, 512, 17, 25800, 220, 16, 14, 17, 11051, 284, 220, 16, 272, 627, 4438, 1690, 26446, 527, 304, 264, 46746, 5380, 3947, 527, 2744, 1403, 26446, 304, 832, 46746, 13, 763, 1023, 4339, 11, 832, 10747, 374, 4376, 264, 46746, 13, 128001, -100, 10902, 10979, 34576, 3445, 430, 499, 527, 539, 1193, 72815, 1113, 701, 45274, 719, 1101, 90255, 7154, 1475, 2942, 315, 701, 2547, 13, 17559, 2890, 94812, 11, 2737, 279, 40409, 11, 1934, 430, 20149, 34576, 374, 832, 315, 279, 6522, 5471, 481, 4648, 11384, 304, 5270, 627, 35502, 2038, 5039, 430, 19094, 2890, 4787, 323, 4648, 15635, 527, 810, 4279, 304, 57757, 1109, 1274, 449, 279, 2768, 4787, 323, 9547, 512, 12, 45396, 1005, 198, 12, 6785, 2227, 14228, 33788, 323, 16779, 198, 12, 1322, 93617, 5623, 10648, 198, 7927, 8071, 2890, 374, 832, 315, 279, 3682, 10742, 994, 433, 4131, 311, 20958, 8244, 2890, 323, 5496, 264, 26733, 11, 9498, 19433, 13, 15636, 11, 28118, 279, 11376, 14228, 5435, 323, 15748, 8071, 3044, 15635, 4245, 311, 20149, 374, 9200, 627, 10445, 374, 73699, 92071, 1285, 311, 4718, 6401, 5380, 43066, 287, 27531, 1555, 20149, 477, 904, 1023, 1376, 374, 28856, 311, 701, 2890, 13, 1102, 5727, 7701, 57407, 26333, 430, 5376, 279, 5326, 369, 21249, 2890, 4787, 13, 3277, 499, 16603, 264, 36213, 11, 499, 29241, 701, 2547, 311, 7154, 220, 19, 11, 931, 72815, 1113, 323, 28856, 11742, 33155, 13, 15636, 11, 433, 374, 48696, 311, 2980, 279, 6129, 25949, 315, 1778, 26333, 389, 701, 1664, 33851, 323, 701, 6548, 529, 2890, 627, 4438, 12838, 73699, 362, 1740, 4718, 31541, 5380, 4599, 499, 60537, 1604, 27531, 304, 279, 1376, 315, 264, 36213, 11, 28856, 62186, 3810, 701, 100216, 1555, 701, 45274, 13, 4314, 62186, 649, 5944, 311, 7154, 1475, 2942, 315, 701, 2547, 11, 323, 430, 753, 3249, 6548, 527, 1101, 47281, 13, 15483, 62186, 11682, 279, 9498, 7917, 323, 10006, 826, 304, 279, 6485, 6070, 315, 701, 6548, 13, 32140, 11, 814, 5353, 264, 4101, 315, 2204, 8071, 323, 11376, 14228, 5435, 11, 1778, 439, 272, 6526, 11613, 11, 9155, 1299, 5367, 17699, 11, 71975, 2160, 258, 54042, 11, 5099, 627, 11076, 31541, 12, 11948, 45635, 24586, 311, 73699, 198, 8586, 753, 264, 10015, 1160, 315, 279, 3682, 2890, 323, 11376, 14228, 4819, 430, 31889, 4245, 311, 8987, 11, 4725, 11, 323, 1524, 30883, 20149, 26870, 13, 12040, 264, 1427, 512, 34, 6526, 11613, 8464, 311, 279, 18488, 315, 9624, 12970, 4251, 19252, 304, 279, 2867, 36057, 304, 701, 6548, 13, 1115, 9624, 287, 649, 57780, 279, 11376, 323, 5353, 7276, 477, 2860, 11376, 53317, 627, 2409, 2840, 2933, 82945, 11, 701, 81209, 32015, 47521, 505, 5674, 13, 1115, 32015, 374, 8647, 369, 78768, 9302, 2038, 311, 701, 8271, 304, 279, 1376, 315, 17738, 430, 1520, 1376, 5448, 304, 701, 4059, 13, 4452, 11, 439, 279, 81209, 32015, 14865, 311, 734, 11, 499, 1253, 1212, 311, 9229, 701, 11376, 27115, 13, 4802, 398, 11, 433, 13980, 449, 279, 4814, 315, 3185, 11376, 323, 374, 19029, 43426, 2085, 6593, 21623, 627, 14260, 7553, 1299, 58337, 17699, 198, 3947, 527, 1403, 4595, 315, 9155, 1299, 5367, 17699, 13, 31941, 9155, 1299, 5367, 17699, 13980, 994, 279, 84827, 11704, 5674, 505, 27639, 40085, 34751, 1234, 433, 13, 82671, 11, 994, 6680, 31080, 2212, 323, 3221, 279, 84827, 1212, 311, 5367, 13523, 11, 24237, 11, 477, 1464, 11, 433, 374, 3967, 439, 14739, 9155, 1299, 5367, 17699, 627, 644, 2225, 4787, 11, 6978, 1212, 311, 9229, 872, 11376, 3060, 27115, 477, 27076, 2740, 11, 11911, 389, 279, 2237, 315, 31020, 627, 50179, 311, 11736, 54652, 73699, 198, 95045, 922, 69184, 20149, 30, 1102, 374, 264, 1695, 4623, 1606, 584, 617, 1193, 14407, 264, 2478, 315, 279, 1690, 11376, 14228, 4819, 499, 1436, 3663, 4245, 311, 20149, 13, 9934, 311, 5766, 22639, 430, 21736, 20149, 13, 42427, 858, 287, 2680, 311, 34576, 374, 264, 3682, 3094, 311, 26991, 701, 14464, 11, 3508, 433, 374, 990, 11, 2162, 11, 449, 4885, 11, 477, 12660, 775, 627, 2181, 374, 1888, 311, 6056, 6593, 1520, 323, 6514, 304, 1162, 279, 30836, 13803, 1212, 311, 5536, 701, 8244, 2890, 323, 3063, 311, 6129, 13803, 627, 7927, 2890, 374, 701, 8706, 10844, 994, 433, 4131, 311, 22128, 323, 5496, 701, 2324, 311, 279, 77796, 13, 31541, 14228, 5435, 4245, 311, 20149, 527, 264, 3682, 4747, 13, 20556, 264, 6593, 6335, 477, 3469, 4512, 2889, 311, 2686, 279, 8071, 5435, 430, 499, 1781, 527, 4245, 311, 20149, 477, 904, 1023, 5353, 13, 128001, -100, 1305, 30970, 11, 92817, 82044, 612, 6383, 1414, 822, 25, 18122, 1960, 532, 94641, 304, 279, 473, 3518, 10481, 17991, 5683, 7053, 14319, 8329, 5825, 264, 9200, 4007, 315, 83081, 15180, 388, 304, 16852, 467, 11, 34833, 264, 17271, 3235, 1148, 374, 1457, 279, 100170, 11628, 107394, 1122, 3973, 11, 323, 14385, 439, 264, 1162, 4007, 369, 279, 2800, 315, 279, 473, 3518, 10481, 24540, 5683, 7053, 3973, 8329, 13, 26891, 374, 2728, 311, 279, 58069, 473, 3518, 10481, 82, 11, 4270, 21846, 311, 279, 15180, 388, 11, 889, 16495, 311, 11142, 55205, 44808, 89, 6, 83081, 330, 96315, 22676, 8993, 1, 1646, 430, 1053, 3493, 279, 473, 3518, 10481, 82, 279, 3445, 311, 9407, 872, 90503, 19399, 927, 279, 5654, 369, 11026, 13, 12220, 420, 892, 11, 1070, 1051, 2380, 7931, 889, 1051, 26154, 304, 31692, 420, 7351, 25, 15180, 261, 323, 17377, 46588, 36283, 355, 1183, 30970, 11, 83081, 69050, 11291, 7043, 6383, 1414, 822, 11, 323, 58069, 35482, 1543, 25844, 92817, 82044, 11, 279, 15629, 315, 8884, 6476, 264, 8792, 3560, 304, 78768, 6995, 89545, 14807, 315, 68201, 323, 55806, 950, 22755, 1139, 16852, 467, 1555, 813, 4443, 4009, 11, 902, 8738, 311, 1520, 3139, 279, 473, 3518, 10481, 26436, 315, 10383, 323, 20162, 311, 872, 8294, 5915, 482, 10494, 279, 24881, 316, 598, 704, 13, 2052, 2380, 3026, 9749, 14488, 315, 1862, 2737, 28289, 24070, 51971, 323, 30791, 1050, 10365, 11, 39661, 389, 872, 14488, 8936, 750, 311, 9041, 872, 10082, 323, 39075, 1862, 1124, 13, 578, 1005, 315, 279, 83081, 330, 96315, 22676, 8993, 1, 1646, 78864, 459, 4879, 311, 5813, 264, 83081, 58473, 323, 8993, 19812, 304, 60495, 1122, 323, 100170, 12098, 555, 3339, 1124, 29947, 311, 279, 15481, 15180, 261, 8647, 369, 1798, 9585, 4359, 398, 35460, 323, 279, 837, 10082, 627, 25584, 26312, 13133, 906, 258, 10187, 264, 2405, 920, 13, 304, 1050, 1659, 11346, 505, 279, 3907, 315, 7188, 11, 63941, 323, 374, 5131, 22103, 17054, 315, 11346, 520, 32492, 3907, 13, 1115, 17009, 374, 279, 1121, 315, 3495, 2884, 449, 264, 48550, 73216, 5364, 613, 24668, 304, 220, 679, 16, 12, 679, 17, 439, 1664, 439, 1520, 505, 279, 3907, 315, 7188, 11, 63941, 44825, 6826, 13, 128001, -100, 11030, 2839, 3727, 709, 1034, 15, 13, 11908, 315, 279, 31319, 34248, 7187, 11, 449, 264, 2860, 315, 220, 4103, 11, 18058, 1274, 11, 7863, 311, 279, 31319, 34248, 2860, 315, 220, 18, 11, 23493, 11, 25779, 627, 791, 24478, 77073, 33620, 369, 220, 11030, 2839, 374, 400, 1627, 11, 18831, 7863, 311, 279, 31319, 34248, 5578, 315, 400, 966, 11, 20911, 627, 791, 63690, 4783, 5273, 369, 220, 11030, 2839, 374, 400, 4386, 11, 3443, 7863, 311, 279, 31319, 34248, 5578, 315, 400, 4364, 11, 2636, 627, 791, 63690, 13381, 369, 220, 11030, 2839, 374, 220, 2137, 13, 410, 7863, 311, 279, 31319, 34248, 23369, 315, 220, 1987, 13, 410, 627, 791, 16729, 18589, 892, 311, 990, 369, 220, 11030, 2839, 374, 220, 777, 13, 1954, 4520, 11, 7863, 311, 279, 31319, 34248, 3152, 315, 220, 1682, 13, 2614, 4520, 627, 2946, 13, 2946, 4, 315, 279, 7187, 304, 220, 11030, 2839, 617, 5929, 13201, 277, 23946, 11, 7863, 311, 279, 31319, 34248, 7187, 11, 304, 902, 220, 1399, 13, 4767, 4, 617, 5929, 13201, 277, 23946, 627, 1272, 13, 3174, 4, 315, 279, 7187, 304, 220, 11030, 2839, 617, 8868, 13201, 277, 23946, 11, 7863, 311, 279, 31319, 34248, 7187, 11, 304, 902, 220, 2137, 13, 1187, 4, 617, 8868, 13201, 277, 23946, 13, 128001, -100, 845, 13, 330, 29303, 3104, 54304, 16828, 10829, 702, 791, 4754, 8137, 315, 59862, 16603, 69087, 574, 39048, 439, 198, 64, 330, 16241, 272, 56878, 1, 3446, 1566, 1060, 13, 1102, 374, 1694, 5790, 50615, 198, 11536, 1070, 374, 2103, 264, 25237, 339, 315, 10401, 389, 279, 3917, 323, 1606, 198, 1073, 279, 8738, 24716, 6412, 323, 8141, 315, 420, 955, 315, 16603, 198, 791, 59862, 11, 477, 28772, 1534, 11, 32314, 5727, 2340, 2411, 12, 13341, 11, 264, 21503, 198, 2008, 1333, 902, 15783, 24031, 304, 279, 20438, 315, 12966, 323, 11012, 13, 9843, 198, 287, 10185, 11, 2340, 2411, 11031, 505, 279, 80311, 42929, 1139, 279, 100216, 198, 936, 985, 26587, 323, 17685, 9572, 627, 28079, 2411, 706, 264, 59862, 4376, 2324, 315, 220, 16551, 1667, 627, 2746, 832, 315, 1521, 16603, 69087, 374, 20727, 304, 279, 2162, 11, 1070, 374, 4754, 198, 32550, 311, 279, 19504, 13, 51859, 527, 2103, 539, 8010, 315, 279, 52642, 315, 198, 12924, 7323, 311, 7487, 477, 4027, 5794, 994, 11039, 27176, 627, 791, 69087, 5694, 617, 264, 2324, 315, 922, 220, 868, 1667, 11, 323, 279, 17032, 198, 2079, 7980, 311, 471, 279, 69087, 311, 1124, 369, 1380, 24621, 278, 311, 459, 198, 33912, 11499, 12571, 34545, 2816, 627, 11458, 11, 433, 374, 8965, 7378, 430, 2478, 315, 279, 7980, 315, 59862, 198, 3647, 4845, 69087, 690, 23846, 420, 10163, 902, 374, 17124, 389, 279, 32314, 198, 791, 14691, 6412, 323, 8141, 315, 59862, 16603, 69087, 198, 438, 279, 3772, 596, 8060, 311, 5225, 279, 586, 315, 279, 4754, 52642, 198, 1073, 279, 32314, 81007, 420, 3446, 369, 29804, 439, 832, 315, 279, 330, 16241, 198, 66, 56878, 1, 7493, 315, 220, 4468, 23, 627, 9685, 535, 11, 3297, 11, 220, 4468, 23, 11, 281, 13, 220, 806, 11, 330, 77980, 80119, 423, 14381, 10246, 9685, 535, 11, 6287, 11, 220, 4468, 22, 11, 281, 13, 220, 1313, 11, 330, 23389, 1516, 25, 54304, 16828, 10829, 3297, 198, 3513, 74132, 311, 4718, 6401, 10246, 3648, 4410, 11, 6287, 220, 1591, 11, 220, 4468, 23, 11, 281, 13, 220, 4044, 11, 330, 77980, 10523, 304, 4718, 43096, 43352, 1729, 65298, 4584, 1692, 355, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363 ]
[ 128000, 7778, 17005, 17283, 6515, 26169, 1233, 198, 91718, 14936, 9580, 98386, 198, 8142, 13882, 1511, 11, 279, 36237, 655, 367, 892, 374, 539, 2744, 14791, 439, 264, 16819, 315, 5419, 1645, 26169, 1233, 26, 384, 1326, 2637, 304, 264, 10269, 3289, 900, 291, 3634, 433, 690, 4668, 264, 4856, 3428, 907, 11, 7170, 4528, 311, 430, 369, 264, 2678, 39032, 11, 1418, 1274, 4871, 690, 1505, 279, 1645, 26169, 1233, 29213, 13, 1789, 1778, 15082, 11, 832, 1253, 1005, 279, 29079, 5222, 2237, 31815, 34075, 17, 11, 902, 374, 279, 4478, 315, 5222, 2237, 31815, 449, 60115, 315, 6138, 662, 19575, 220, 17, 13, 22, 19207, 279, 49304, 1534, 16029, 315, 18979, 19579, 6138, 11, 389, 902, 433, 374, 3284, 311, 33137, 279, 2167, 2115, 5654, 3345, 311, 279, 2592, 320, 2940, 279, 10383, 315, 279, 3130, 374, 539, 3686, 6612, 8, 323, 279, 3117, 2115, 5654, 320, 2940, 832, 374, 2163, 449, 279, 36237, 655, 519, 2115, 570, 763, 1990, 13656, 279, 29539, 5654, 11, 902, 374, 14400, 555, 279, 45166, 6514, 315, 279, 3130, 627, 40, 10860, 323, 10948, 198, 44612, 22865, 26139, 649, 387, 6755, 304, 5370, 31747, 291, 81, 1147, 323, 31012, 1405, 279, 10860, 907, 374, 1664, 927, 220, 18, 274, 13, 2468, 279, 14329, 3185, 315, 279, 5569, 11, 279, 66350, 315, 75967, 39679, 4519, 264, 220, 16, 13, 16, 274, 10860, 311, 7431, 279, 68141, 315, 7984, 356, 13873, 311, 3113, 872, 7512, 315, 28664, 2987, 627, 91, 27, 60101, 8651, 24194, 44978, 8651, 5971, 871, 91, 128001, 128000, 2181, 753, 2646, 2288, 3389, 311, 387, 810, 315, 889, 584, 84611, 311, 387, 11, 311, 387, 2555, 502, 11, 4423, 2731, 13, 16642, 17368, 19903, 43246, 374, 1618, 311, 1520, 499, 304, 701, 2271, 311, 387, 701, 1888, 659, 627, 48195, 43246, 374, 26259, 369, 279, 2653, 990, 323, 84211, 39955, 315, 12336, 76836, 323, 88652, 7674, 8771, 11, 1080, 23283, 6114, 3046, 315, 279, 12332, 356, 5518, 6826, 627, 1687, 682, 1390, 311, 387, 810, 59780, 11, 60961, 11, 323, 33445, 13, 32255, 584, 527, 3815, 1120, 430, 13, 12040, 264, 1427, 520, 19903, 43246, 753, 2077, 311, 279, 20562, 12, 777, 28522, 0, 5751, 38384, 5315, 11, 19114, 4101, 11, 12332, 356, 5518, 6826, 11, 48929, 35936, 11, 323, 4060, 315, 9601, 28780, 2068, 527, 539, 1120, 40746, 11, 719, 99359, 11, 19261, 810, 1274, 1109, 3596, 13, 1226, 1524, 9087, 4029, 3697, 449, 2697, 477, 912, 6500, 3217, 733, 2930, 779, 430, 814, 649, 4822, 8599, 2391, 1521, 5107, 3115, 627, 13622, 315, 603, 1390, 311, 387, 810, 1825, 70395, 323, 28771, 1389, 323, 1070, 753, 28211, 701, 65352, 374, 810, 4460, 323, 26893, 1109, 16642, 17368, 19903, 43246, 13, 13440, 499, 3041, 2930, 11, 3708, 264, 1817, 11, 1304, 264, 20160, 8352, 11, 26202, 701, 892, 11, 15253, 4885, 311, 5249, 603, 11, 477, 656, 3892, 315, 1521, 2574, 11, 584, 1205, 499, 11, 323, 584, 527, 26259, 369, 499, 13, 11361, 369, 3339, 264, 1060, 13368, 8352, 311, 19903, 43246, 3432, 627, 128001 ]
[ -100, 7778, 17005, 17283, 6515, 26169, 1233, 198, 91718, 14936, 9580, 98386, 198, 8142, 13882, 1511, 11, 279, 36237, 655, 367, 892, 374, 539, 2744, 14791, 439, 264, 16819, 315, 5419, 1645, 26169, 1233, 26, 384, 1326, 2637, 304, 264, 10269, 3289, 900, 291, 3634, 433, 690, 4668, 264, 4856, 3428, 907, 11, 7170, 4528, 311, 430, 369, 264, 2678, 39032, 11, 1418, 1274, 4871, 690, 1505, 279, 1645, 26169, 1233, 29213, 13, 1789, 1778, 15082, 11, 832, 1253, 1005, 279, 29079, 5222, 2237, 31815, 34075, 17, 11, 902, 374, 279, 4478, 315, 5222, 2237, 31815, 449, 60115, 315, 6138, 662, 19575, 220, 17, 13, 22, 19207, 279, 49304, 1534, 16029, 315, 18979, 19579, 6138, 11, 389, 902, 433, 374, 3284, 311, 33137, 279, 2167, 2115, 5654, 3345, 311, 279, 2592, 320, 2940, 279, 10383, 315, 279, 3130, 374, 539, 3686, 6612, 8, 323, 279, 3117, 2115, 5654, 320, 2940, 832, 374, 2163, 449, 279, 36237, 655, 519, 2115, 570, 763, 1990, 13656, 279, 29539, 5654, 11, 902, 374, 14400, 555, 279, 45166, 6514, 315, 279, 3130, 627, 40, 10860, 323, 10948, 198, 44612, 22865, 26139, 649, 387, 6755, 304, 5370, 31747, 291, 81, 1147, 323, 31012, 1405, 279, 10860, 907, 374, 1664, 927, 220, 18, 274, 13, 2468, 279, 14329, 3185, 315, 279, 5569, 11, 279, 66350, 315, 75967, 39679, 4519, 264, 220, 16, 13, 16, 274, 10860, 311, 7431, 279, 68141, 315, 7984, 356, 13873, 311, 3113, 872, 7512, 315, 28664, 2987, 627, 91, 27, 60101, 8651, 24194, 44978, 8651, 5971, 871, 91, 128001, -100, 2181, 753, 2646, 2288, 3389, 311, 387, 810, 315, 889, 584, 84611, 311, 387, 11, 311, 387, 2555, 502, 11, 4423, 2731, 13, 16642, 17368, 19903, 43246, 374, 1618, 311, 1520, 499, 304, 701, 2271, 311, 387, 701, 1888, 659, 627, 48195, 43246, 374, 26259, 369, 279, 2653, 990, 323, 84211, 39955, 315, 12336, 76836, 323, 88652, 7674, 8771, 11, 1080, 23283, 6114, 3046, 315, 279, 12332, 356, 5518, 6826, 627, 1687, 682, 1390, 311, 387, 810, 59780, 11, 60961, 11, 323, 33445, 13, 32255, 584, 527, 3815, 1120, 430, 13, 12040, 264, 1427, 520, 19903, 43246, 753, 2077, 311, 279, 20562, 12, 777, 28522, 0, 5751, 38384, 5315, 11, 19114, 4101, 11, 12332, 356, 5518, 6826, 11, 48929, 35936, 11, 323, 4060, 315, 9601, 28780, 2068, 527, 539, 1120, 40746, 11, 719, 99359, 11, 19261, 810, 1274, 1109, 3596, 13, 1226, 1524, 9087, 4029, 3697, 449, 2697, 477, 912, 6500, 3217, 733, 2930, 779, 430, 814, 649, 4822, 8599, 2391, 1521, 5107, 3115, 627, 13622, 315, 603, 1390, 311, 387, 810, 1825, 70395, 323, 28771, 1389, 323, 1070, 753, 28211, 701, 65352, 374, 810, 4460, 323, 26893, 1109, 16642, 17368, 19903, 43246, 13, 13440, 499, 3041, 2930, 11, 3708, 264, 1817, 11, 1304, 264, 20160, 8352, 11, 26202, 701, 892, 11, 15253, 4885, 311, 5249, 603, 11, 477, 656, 3892, 315, 1521, 2574, 11, 584, 1205, 499, 11, 323, 584, 527, 26259, 369, 499, 13, 11361, 369, 3339, 264, 1060, 13368, 8352, 311, 19903, 43246, 3432, 627, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249 ]
[ 128000, 791, 8993, 520, 279, 892, 315, 36302, 11, 574, 315, 3388, 1148, 584, 1650, 279, 13041, 16879, 9441, 323, 2564, 433, 574, 5115, 78792, 11, 449, 264, 5868, 430, 6137, 520, 279, 1948, 323, 18797, 1523, 13, 1115, 374, 8965, 279, 7138, 315, 5868, 304, 904, 7471, 2564, 323, 304, 279, 8993, 520, 430, 892, 11, 279, 5868, 574, 304, 279, 11692, 2564, 323, 439, 4359, 2744, 1587, 11, 1283, 9408, 709, 4423, 311, 1486, 433, 704, 311, 279, 11692, 13, 763, 264, 502, 2363, 555, 27562, 88430, 320, 438, 8308, 555, 813, 1080, 2695, 2604, 24789, 4355, 445, 19934, 8, 323, 6004, 420, 2046, 320, 20369, 67931, 2876, 445, 5248, 25, 578, 42855, 23116, 1618, 705, 88430, 3585, 704, 430, 11692, 1288, 2744, 387, 14624, 539, 1193, 311, 1202, 29488, 68141, 719, 1101, 311, 1202, 23531, 26, 323, 11692, 1288, 15320, 387, 659, 1824, 14849, 13, 578, 33017, 304, 220, 3965, 15, 596, 4745, 98310, 2915, 304, 1521, 1403, 5789, 13, 2030, 527, 584, 904, 2731, 3432, 5380, 2520, 433, 374, 555, 21507, 499, 617, 1027, 6924, 11, 1555, 10082, 1389, 323, 420, 374, 539, 505, 58996, 11, 433, 374, 279, 8352, 315, 4359, 115972, 8248, 279, 42805, 1732, 690, 3974, 555, 10082, 198, 1687, 29488, 323, 9901, 4359, 389, 279, 220, 2636, 339, 22310, 315, 279, 1050, 1659, 369, 19054, 709, 264, 893, 1093, 11826, 36302, 13, 2030, 6227, 11, 264, 7795, 938, 2641, 505, 279, 2010, 1523, 2564, 574, 1070, 904, 5868, 304, 36302, 30, 8489, 11, 10035, 11, 568, 574, 79045, 65617, 19233, 292, 13, 36302, 28932, 279, 19814, 315, 17420, 13, 1283, 33740, 813, 6848, 304, 813, 2363, 1952, 279, 17420, 323, 11205, 78186, 902, 5343, 6376, 4027, 311, 6925, 55180, 1157, 323, 8853, 11, 279, 57456, 367, 315, 13653, 6603, 11, 20252, 872, 10632, 311, 279, 5015, 11, 436, 12806, 285, 21501, 505, 12917, 389, 6784, 315, 4648, 11, 8515, 323, 31817, 87370, 323, 95989, 315, 17420, 505, 6063, 12098, 320, 888, 505, 813, 4375, 1618, 570, 36302, 753, 25223, 1053, 9778, 3769, 1082, 3116, 7895, 1667, 3010, 304, 220, 7285, 23, 11, 902, 6244, 3967, 439, 27973, 543, 77, 16317, 477, 279, 13120, 315, 279, 54683, 21396, 13, 1115, 1614, 30638, 56529, 10222, 389, 36302, 753, 15553, 13, 2468, 430, 892, 83081, 34342, 11826, 328, 13559, 24116, 36302, 304, 264, 75931, 1169, 3709, 5977, 279, 1274, 2403, 279, 17420, 13, 5414, 6325, 390, 10365, 449, 1884, 315, 6122, 86402, 2053, 2345, 65387, 311, 1148, 36302, 89194, 304, 813, 5869, 67666, 76482, 13, 9176, 315, 328, 13559, 753, 8993, 18105, 11922, 430, 279, 2064, 561, 11755, 389, 8993, 4902, 1590, 574, 264, 2592, 315, 20343, 323, 83081, 63584, 1051, 2728, 279, 3465, 311, 4686, 36302, 753, 9131, 2403, 1054, 14957, 9354, 9520, 279, 17420, 627, 2170, 584, 3077, 3970, 6051, 304, 1057, 10846, 10846, 30129, 4101, 11, 584, 682, 617, 1057, 6453, 3185, 2564, 1566, 2046, 584, 5602, 43084, 596, 11, 420, 2046, 584, 1518, 36302, 596, 13, 2030, 1148, 374, 701, 6453, 3185, 320, 22479, 5868, 705, 323, 1587, 701, 8993, 617, 264, 6453, 3185, 30, 1628, 422, 499, 527, 304, 264, 2361, 315, 11692, 320, 258, 701, 2162, 11, 8993, 11, 27465, 8, 374, 701, 5868, 28987, 701, 2162, 11, 701, 8993, 11, 701, 27465, 5380, 1966, 279, 22310, 315, 220, 2636, 1667, 315, 1050, 1659, 11, 358, 1650, 279, 8993, 315, 10811, 3771, 323, 1475, 9052, 11, 311, 14529, 312, 12, 1659, 320, 6518, 389, 430, 1828, 7418, 11714, 570, 128001, 128000, 36190, 753, 91225, 49686, 304, 577, 78836, 520, 279, 198, 32, 38012, 2816, 9676, 287, 279, 91225, 49686, 315, 95027, 3278, 2533, 279, 312, 46302, 50850, 304, 279, 220, 8258, 15, 82, 323, 220, 5245, 15, 82, 433, 574, 3278, 596, 14523, 439, 3278, 311, 387, 21737, 13, 9029, 315, 577, 78836, 220, 19, 1667, 4227, 11846, 60981, 439, 264, 5426, 67374, 596, 10065, 13, 82909, 554, 6625, 3278, 596, 1938, 75642, 39260, 11, 116659, 1609, 9121, 11, 577, 78836, 11, 304, 2225, 3278, 596, 323, 8396, 596, 11555, 922, 3278, 596, 22526, 323, 91225, 49686, 13, 40980, 19579, 91225, 49686, 25, 57625, 936, 495, 11, 60898, 817, 11, 320, 55790, 220, 1049, 24, 11, 577, 78836, 220, 1049, 19, 11, 96344, 14379, 9034, 5673, 11, 3278, 753, 55633, 11, 323, 3678, 87, 753, 19675, 315, 14110, 11, 37185, 25, 627, 10614, 315, 53110, 482, 279, 35954, 315, 3278, 596, 3268, 389, 279, 5015, 315, 279, 22526, 315, 279, 76032, 3278, 596, 55633, 11, 8954, 91225, 49686, 11, 3278, 596, 3268, 13, 5867, 1149, 49686, 374, 904, 5149, 311, 80779, 7100, 323, 3674, 3268, 11, 5054, 3268, 477, 22526, 11, 3629, 369, 264, 11951, 91910, 1658, 3581, 4147, 1912, 11, 477, 13, 5250, 15969, 2324, 323, 1446, 69, 5717, 1234, 10814, 277, 380, 436, 29578, 420, 3857, 315, 279, 2363, 5039, 64245, 3278, 753, 13073, 439, 27661, 388, 323, 5209, 59488, 11, 91225, 49686, 315, 627, 791, 8657, 4193, 47003, 11, 279, 64245, 14110, 323, 3278, 430, 279, 5754, 311, 3278, 753, 91225, 49686, 574, 1555, 8603, 304, 279, 577, 78836, 323, 574, 13, 35907, 315, 25425, 323, 1690, 9466, 3095, 304, 29292, 5415, 2391, 279, 1060, 220, 679, 23, 13, 52137, 3821, 25, 3278, 612, 3026, 220, 17, 1172, 6955, 220, 1049, 19, 374, 24705, 3293, 1667, 617, 3970, 264, 48156, 2403, 3278, 753, 91225, 49686, 304, 1690, 5961, 3278, 505, 577, 78836, 13, 578, 10396, 315, 46902, 2191, 13168, 291, 38246, 398, 449, 279, 15740, 315, 91225, 49686, 1234, 279, 584, 88456, 35544, 11, 279, 10937, 369, 264, 3278, 596, 514, 56974, 969, 372, 11, 220, 5926, 23, 4235, 7285, 17, 11, 627, 36190, 596, 3268, 527, 279, 3268, 323, 55001, 82, 11922, 369, 3278, 323, 7724, 15603, 11, 323, 14454, 279, 8197, 369, 279, 3278, 596, 3268, 7351, 304, 279, 304, 577, 78836, 13, 19198, 15247, 6105, 2403, 53110, 279, 38012, 38586, 11, 11093, 449, 3278, 596, 91225, 49686, 11, 577, 78836, 706, 264, 21900, 15404, 4478, 315, 220, 9390, 2911, 824, 5333, 17974, 19278, 64019, 64766, 1417, 24856, 264, 52319, 12541, 520, 342, 51093, 73, 14458, 574, 56028, 3278, 753, 8070, 5990, 279, 95609, 315, 3278, 1555, 872, 91225, 49686, 706, 627, 12331, 87, 2191, 323, 279, 91225, 49686, 315, 3278, 1194, 4332, 555, 279, 89316, 82008, 82, 304, 597, 44191, 11, 577, 78836, 389, 15572, 220, 23, 320, 98697, 3278, 596, 1938, 705, 220, 7529, 20, 13, 3005, 13919, 279, 13112, 315, 872, 1005, 1288, 387, 1511, 439, 264, 6767, 315, 3278, 596, 91225, 49686, 555, 279, 653, 1203, 520, 279, 4868, 18618, 304, 54748, 17149, 17974, 97038, 12, 1892, 81, 1917, 6164, 5054, 91225, 49686, 315, 603, 21716, 16609, 6273, 6776, 1180, 304, 2077, 311, 7982, 3278, 596, 577, 78836, 29782, 308, 4428, 627, 12, 763, 31410, 24131, 304, 279, 7580, 315, 279, 2073, 79, 10026, 22526, 323, 3278, 753, 74477, 18629, 374, 311, 1862, 279, 3109, 315, 10007, 68756, 10018, 577, 78836, 627, 12, 220, 23, 15572, 482, 6625, 3278, 596, 1938, 611, 3278, 596, 2704, 11, 1972, 22526, 11, 91225, 49686, 11, 577, 78836, 11, 29561, 12949, 11, 264, 57860, 23685, 323, 802, 5794, 689, 627, 12, 19278, 3278, 5029, 9266, 9901, 499, 369, 17136, 1057, 3997, 315, 1057, 4647, 461, 95360, 1639, 24014, 994, 568, 35710, 1124, 315, 279, 1317, 14993, 369, 3278, 753, 91225, 49686, 11, 627, 791, 1176, 6625, 3278, 596, 1938, 2225, 3278, 596, 323, 8396, 596, 11555, 922, 3278, 596, 22526, 323, 91225, 49686, 13535, 74, 5794, 9121, 11, 68756, 10018, 11, 577, 78836, 17974, 25837, 25, 3278, 323, 577, 76113, 7140, 5812, 49816, 311, 1862, 279, 502, 17942, 430, 19487, 3278, 596, 91225, 49686, 220, 19, 304, 3278, 304, 436, 29578, 323, 577, 78836, 13, 19278, 18561, 38634, 43746, 21557, 3116, 8954, 42712, 1306, 1694, 3288, 311, 264, 3278, 753, 7195, 369, 279, 220, 679, 23, 91225, 49686, 25960, 5762, 520, 279, 2362, 2606, 13, 128001, 128000, 65963, 22803, 71814, 6853, 480, 3168, 2311, 11, 304, 459, 7274, 449, 56915, 389, 5587, 220, 914, 11, 220, 679, 15, 11, 12570, 315, 279, 1054, 63157, 1584, 863, 584, 617, 304, 1057, 8396, 1990, 10923, 1054, 10816, 8982, 863, 323, 20958, 264, 8431, 8396, 539, 30801, 555, 9349, 13, 763, 279, 2919, 2768, 6186, 220, 19, 11, 220, 679, 16, 11, 279, 1917, 5602, 279, 29774, 315, 10923, 8431, 8396, 311, 387, 30801, 555, 16806, 34731, 304, 279, 14560, 13, 45552, 10495, 1051, 21699, 449, 4648, 555, 16806, 3445, 422, 814, 1524, 9076, 80293, 311, 279, 3070, 315, 69743, 350, 521, 261, 11, 279, 1120, 26816, 15846, 24245, 315, 279, 3314, 315, 60417, 11, 17076, 627, 33117, 369, 7182, 11, 358, 4510, 430, 584, 1205, 311, 2187, 279, 7353, 478, 21518, 311, 1057, 1314, 315, 1949, 8982, 11, 439, 19883, 555, 279, 220, 16, 267, 22454, 315, 279, 18039, 315, 279, 3723, 4273, 13, 1115, 1587, 539, 3152, 11, 4869, 11, 430, 994, 4423, 8791, 5153, 459, 30229, 433, 1288, 387, 2085, 29774, 13, 13266, 16296, 649, 387, 52909, 11, 323, 12756, 35516, 627, 49314, 11, 8260, 701, 32080, 477, 2748, 459, 653, 1517, 31436, 836, 649, 617, 8389, 29774, 311, 701, 3070, 13, 1054, 40345, 275, 1133, 311, 42597, 863, 374, 2500, 3629, 12744, 12616, 3187, 315, 8982, 11, 902, 374, 539, 76345, 13, 16782, 11, 420, 374, 14614, 7347, 311, 21308, 477, 5439, 35954, 315, 6848, 477, 7645, 315, 16801, 430, 63937, 279, 12396, 315, 459, 1180, 315, 14247, 9349, 627, 2181, 374, 369, 420, 2944, 430, 34349, 30534, 1436, 2019, 2391, 279, 480, 3168, 2311, 7274, 315, 5587, 220, 914, 11, 220, 679, 15, 11, 4856, 5030, 8838, 2269, 33839, 25, 1054, 63939, 34731, 323, 4208, 34731, 617, 1027, 91229, 369, 1667, 2476, 439, 422, 1070, 374, 4400, 5076, 449, 433, 13, 1115, 374, 1405, 358, 636, 1022, 279, 3772, 5951, 627, 15724, 584, 617, 3772, 28183, 430, 649, 5662, 832, 7239, 24475, 304, 2753, 1109, 264, 2132, 13, 3277, 814, 2187, 459, 29115, 369, 9349, 311, 2019, 2555, 389, 872, 1054, 1334, 2476, 814, 527, 11689, 430, 1054, 63157, 1584, 863, 315, 1148, 374, 31308, 311, 19570, 311, 872, 10877, 13, 1102, 374, 264, 12703, 2144, 315, 279, 3823, 3044, 430, 653, 59502, 7931, 3073, 17277, 13, 53296, 1431, 433, 279, 12014, 315, 1057, 3772, 28183, 315, 682, 13124, 311, 15641, 420, 2144, 11, 323, 2980, 279, 13336, 430, 814, 2643, 3709, 635, 477, 3493, 6848, 311, 1778, 69691, 552, 555, 7231, 28424, 315, 9349, 2680, 311, 3772, 30994, 31550, 5380, 2181, 5084, 311, 757, 430, 433, 374, 51382, 389, 3772, 28183, 311, 11142, 459, 5369, 311, 872, 37079, 31308, 2082, 11, 902, 7612, 1124, 311, 70903, 2980, 3508, 814, 527, 7231, 28424, 369, 9349, 264, 19262, 1366, 606, 311, 9041, 872, 6325, 13, 4702, 1606, 1778, 1274, 617, 279, 1314, 311, 2019, 1148, 814, 1390, 11, 1587, 539, 3152, 279, 3772, 2011, 97168, 872, 13458, 462, 337, 13, 31597, 11426, 323, 9875, 1288, 387, 2231, 389, 5406, 430, 1884, 430, 29115, 9349, 1555, 872, 4339, 323, 28198, 11, 6089, 477, 46345, 11, 690, 9229, 2680, 311, 279, 3772, 627, 2746, 420, 1051, 2884, 11, 1243, 264, 13579, 8712, 369, 10430, 304, 279, 3772, 26436, 1053, 387, 3508, 433, 574, 31308, 369, 264, 2728, 3772, 27487, 311, 2187, 264, 3738, 1934, 311, 387, 4756, 13, 32862, 3403, 3772, 28183, 1053, 387, 559, 3690, 3201, 505, 10923, 28424, 315, 9349, 2680, 311, 872, 3772, 19262, 1366, 606, 627, 66625, 48189, 374, 2216, 264, 3177, 11, 264, 52402, 2212, 279, 1917, 11, 1606, 584, 2515, 2349, 520, 279, 26938, 3830, 323, 539, 1606, 315, 1521, 704, 11490, 37379, 315, 9349, 304, 3738, 5157, 4696, 10604, 374, 264, 961, 315, 1057, 1920, 11, 719, 433, 753, 2216, 3062, 430, 584, 5357, 389, 279, 2144, 430, 584, 617, 264, 11650, 1920, 627, 2028, 4441, 574, 8621, 304, 50281, 304, 69653, 11, 25320, 315, 39841, 323, 38213, 220, 16, 267, 22454, 11, 50281, 304, 7972, 11, 15766, 315, 7972, 13, 56518, 279, 80328, 13, 128001 ]
[ -100, 791, 8993, 520, 279, 892, 315, 36302, 11, 574, 315, 3388, 1148, 584, 1650, 279, 13041, 16879, 9441, 323, 2564, 433, 574, 5115, 78792, 11, 449, 264, 5868, 430, 6137, 520, 279, 1948, 323, 18797, 1523, 13, 1115, 374, 8965, 279, 7138, 315, 5868, 304, 904, 7471, 2564, 323, 304, 279, 8993, 520, 430, 892, 11, 279, 5868, 574, 304, 279, 11692, 2564, 323, 439, 4359, 2744, 1587, 11, 1283, 9408, 709, 4423, 311, 1486, 433, 704, 311, 279, 11692, 13, 763, 264, 502, 2363, 555, 27562, 88430, 320, 438, 8308, 555, 813, 1080, 2695, 2604, 24789, 4355, 445, 19934, 8, 323, 6004, 420, 2046, 320, 20369, 67931, 2876, 445, 5248, 25, 578, 42855, 23116, 1618, 705, 88430, 3585, 704, 430, 11692, 1288, 2744, 387, 14624, 539, 1193, 311, 1202, 29488, 68141, 719, 1101, 311, 1202, 23531, 26, 323, 11692, 1288, 15320, 387, 659, 1824, 14849, 13, 578, 33017, 304, 220, 3965, 15, 596, 4745, 98310, 2915, 304, 1521, 1403, 5789, 13, 2030, 527, 584, 904, 2731, 3432, 5380, 2520, 433, 374, 555, 21507, 499, 617, 1027, 6924, 11, 1555, 10082, 1389, 323, 420, 374, 539, 505, 58996, 11, 433, 374, 279, 8352, 315, 4359, 115972, 8248, 279, 42805, 1732, 690, 3974, 555, 10082, 198, 1687, 29488, 323, 9901, 4359, 389, 279, 220, 2636, 339, 22310, 315, 279, 1050, 1659, 369, 19054, 709, 264, 893, 1093, 11826, 36302, 13, 2030, 6227, 11, 264, 7795, 938, 2641, 505, 279, 2010, 1523, 2564, 574, 1070, 904, 5868, 304, 36302, 30, 8489, 11, 10035, 11, 568, 574, 79045, 65617, 19233, 292, 13, 36302, 28932, 279, 19814, 315, 17420, 13, 1283, 33740, 813, 6848, 304, 813, 2363, 1952, 279, 17420, 323, 11205, 78186, 902, 5343, 6376, 4027, 311, 6925, 55180, 1157, 323, 8853, 11, 279, 57456, 367, 315, 13653, 6603, 11, 20252, 872, 10632, 311, 279, 5015, 11, 436, 12806, 285, 21501, 505, 12917, 389, 6784, 315, 4648, 11, 8515, 323, 31817, 87370, 323, 95989, 315, 17420, 505, 6063, 12098, 320, 888, 505, 813, 4375, 1618, 570, 36302, 753, 25223, 1053, 9778, 3769, 1082, 3116, 7895, 1667, 3010, 304, 220, 7285, 23, 11, 902, 6244, 3967, 439, 27973, 543, 77, 16317, 477, 279, 13120, 315, 279, 54683, 21396, 13, 1115, 1614, 30638, 56529, 10222, 389, 36302, 753, 15553, 13, 2468, 430, 892, 83081, 34342, 11826, 328, 13559, 24116, 36302, 304, 264, 75931, 1169, 3709, 5977, 279, 1274, 2403, 279, 17420, 13, 5414, 6325, 390, 10365, 449, 1884, 315, 6122, 86402, 2053, 2345, 65387, 311, 1148, 36302, 89194, 304, 813, 5869, 67666, 76482, 13, 9176, 315, 328, 13559, 753, 8993, 18105, 11922, 430, 279, 2064, 561, 11755, 389, 8993, 4902, 1590, 574, 264, 2592, 315, 20343, 323, 83081, 63584, 1051, 2728, 279, 3465, 311, 4686, 36302, 753, 9131, 2403, 1054, 14957, 9354, 9520, 279, 17420, 627, 2170, 584, 3077, 3970, 6051, 304, 1057, 10846, 10846, 30129, 4101, 11, 584, 682, 617, 1057, 6453, 3185, 2564, 1566, 2046, 584, 5602, 43084, 596, 11, 420, 2046, 584, 1518, 36302, 596, 13, 2030, 1148, 374, 701, 6453, 3185, 320, 22479, 5868, 705, 323, 1587, 701, 8993, 617, 264, 6453, 3185, 30, 1628, 422, 499, 527, 304, 264, 2361, 315, 11692, 320, 258, 701, 2162, 11, 8993, 11, 27465, 8, 374, 701, 5868, 28987, 701, 2162, 11, 701, 8993, 11, 701, 27465, 5380, 1966, 279, 22310, 315, 220, 2636, 1667, 315, 1050, 1659, 11, 358, 1650, 279, 8993, 315, 10811, 3771, 323, 1475, 9052, 11, 311, 14529, 312, 12, 1659, 320, 6518, 389, 430, 1828, 7418, 11714, 570, 128001, -100, 36190, 753, 91225, 49686, 304, 577, 78836, 520, 279, 198, 32, 38012, 2816, 9676, 287, 279, 91225, 49686, 315, 95027, 3278, 2533, 279, 312, 46302, 50850, 304, 279, 220, 8258, 15, 82, 323, 220, 5245, 15, 82, 433, 574, 3278, 596, 14523, 439, 3278, 311, 387, 21737, 13, 9029, 315, 577, 78836, 220, 19, 1667, 4227, 11846, 60981, 439, 264, 5426, 67374, 596, 10065, 13, 82909, 554, 6625, 3278, 596, 1938, 75642, 39260, 11, 116659, 1609, 9121, 11, 577, 78836, 11, 304, 2225, 3278, 596, 323, 8396, 596, 11555, 922, 3278, 596, 22526, 323, 91225, 49686, 13, 40980, 19579, 91225, 49686, 25, 57625, 936, 495, 11, 60898, 817, 11, 320, 55790, 220, 1049, 24, 11, 577, 78836, 220, 1049, 19, 11, 96344, 14379, 9034, 5673, 11, 3278, 753, 55633, 11, 323, 3678, 87, 753, 19675, 315, 14110, 11, 37185, 25, 627, 10614, 315, 53110, 482, 279, 35954, 315, 3278, 596, 3268, 389, 279, 5015, 315, 279, 22526, 315, 279, 76032, 3278, 596, 55633, 11, 8954, 91225, 49686, 11, 3278, 596, 3268, 13, 5867, 1149, 49686, 374, 904, 5149, 311, 80779, 7100, 323, 3674, 3268, 11, 5054, 3268, 477, 22526, 11, 3629, 369, 264, 11951, 91910, 1658, 3581, 4147, 1912, 11, 477, 13, 5250, 15969, 2324, 323, 1446, 69, 5717, 1234, 10814, 277, 380, 436, 29578, 420, 3857, 315, 279, 2363, 5039, 64245, 3278, 753, 13073, 439, 27661, 388, 323, 5209, 59488, 11, 91225, 49686, 315, 627, 791, 8657, 4193, 47003, 11, 279, 64245, 14110, 323, 3278, 430, 279, 5754, 311, 3278, 753, 91225, 49686, 574, 1555, 8603, 304, 279, 577, 78836, 323, 574, 13, 35907, 315, 25425, 323, 1690, 9466, 3095, 304, 29292, 5415, 2391, 279, 1060, 220, 679, 23, 13, 52137, 3821, 25, 3278, 612, 3026, 220, 17, 1172, 6955, 220, 1049, 19, 374, 24705, 3293, 1667, 617, 3970, 264, 48156, 2403, 3278, 753, 91225, 49686, 304, 1690, 5961, 3278, 505, 577, 78836, 13, 578, 10396, 315, 46902, 2191, 13168, 291, 38246, 398, 449, 279, 15740, 315, 91225, 49686, 1234, 279, 584, 88456, 35544, 11, 279, 10937, 369, 264, 3278, 596, 514, 56974, 969, 372, 11, 220, 5926, 23, 4235, 7285, 17, 11, 627, 36190, 596, 3268, 527, 279, 3268, 323, 55001, 82, 11922, 369, 3278, 323, 7724, 15603, 11, 323, 14454, 279, 8197, 369, 279, 3278, 596, 3268, 7351, 304, 279, 304, 577, 78836, 13, 19198, 15247, 6105, 2403, 53110, 279, 38012, 38586, 11, 11093, 449, 3278, 596, 91225, 49686, 11, 577, 78836, 706, 264, 21900, 15404, 4478, 315, 220, 9390, 2911, 824, 5333, 17974, 19278, 64019, 64766, 1417, 24856, 264, 52319, 12541, 520, 342, 51093, 73, 14458, 574, 56028, 3278, 753, 8070, 5990, 279, 95609, 315, 3278, 1555, 872, 91225, 49686, 706, 627, 12331, 87, 2191, 323, 279, 91225, 49686, 315, 3278, 1194, 4332, 555, 279, 89316, 82008, 82, 304, 597, 44191, 11, 577, 78836, 389, 15572, 220, 23, 320, 98697, 3278, 596, 1938, 705, 220, 7529, 20, 13, 3005, 13919, 279, 13112, 315, 872, 1005, 1288, 387, 1511, 439, 264, 6767, 315, 3278, 596, 91225, 49686, 555, 279, 653, 1203, 520, 279, 4868, 18618, 304, 54748, 17149, 17974, 97038, 12, 1892, 81, 1917, 6164, 5054, 91225, 49686, 315, 603, 21716, 16609, 6273, 6776, 1180, 304, 2077, 311, 7982, 3278, 596, 577, 78836, 29782, 308, 4428, 627, 12, 763, 31410, 24131, 304, 279, 7580, 315, 279, 2073, 79, 10026, 22526, 323, 3278, 753, 74477, 18629, 374, 311, 1862, 279, 3109, 315, 10007, 68756, 10018, 577, 78836, 627, 12, 220, 23, 15572, 482, 6625, 3278, 596, 1938, 611, 3278, 596, 2704, 11, 1972, 22526, 11, 91225, 49686, 11, 577, 78836, 11, 29561, 12949, 11, 264, 57860, 23685, 323, 802, 5794, 689, 627, 12, 19278, 3278, 5029, 9266, 9901, 499, 369, 17136, 1057, 3997, 315, 1057, 4647, 461, 95360, 1639, 24014, 994, 568, 35710, 1124, 315, 279, 1317, 14993, 369, 3278, 753, 91225, 49686, 11, 627, 791, 1176, 6625, 3278, 596, 1938, 2225, 3278, 596, 323, 8396, 596, 11555, 922, 3278, 596, 22526, 323, 91225, 49686, 13535, 74, 5794, 9121, 11, 68756, 10018, 11, 577, 78836, 17974, 25837, 25, 3278, 323, 577, 76113, 7140, 5812, 49816, 311, 1862, 279, 502, 17942, 430, 19487, 3278, 596, 91225, 49686, 220, 19, 304, 3278, 304, 436, 29578, 323, 577, 78836, 13, 19278, 18561, 38634, 43746, 21557, 3116, 8954, 42712, 1306, 1694, 3288, 311, 264, 3278, 753, 7195, 369, 279, 220, 679, 23, 91225, 49686, 25960, 5762, 520, 279, 2362, 2606, 13, 128001, -100, 65963, 22803, 71814, 6853, 480, 3168, 2311, 11, 304, 459, 7274, 449, 56915, 389, 5587, 220, 914, 11, 220, 679, 15, 11, 12570, 315, 279, 1054, 63157, 1584, 863, 584, 617, 304, 1057, 8396, 1990, 10923, 1054, 10816, 8982, 863, 323, 20958, 264, 8431, 8396, 539, 30801, 555, 9349, 13, 763, 279, 2919, 2768, 6186, 220, 19, 11, 220, 679, 16, 11, 279, 1917, 5602, 279, 29774, 315, 10923, 8431, 8396, 311, 387, 30801, 555, 16806, 34731, 304, 279, 14560, 13, 45552, 10495, 1051, 21699, 449, 4648, 555, 16806, 3445, 422, 814, 1524, 9076, 80293, 311, 279, 3070, 315, 69743, 350, 521, 261, 11, 279, 1120, 26816, 15846, 24245, 315, 279, 3314, 315, 60417, 11, 17076, 627, 33117, 369, 7182, 11, 358, 4510, 430, 584, 1205, 311, 2187, 279, 7353, 478, 21518, 311, 1057, 1314, 315, 1949, 8982, 11, 439, 19883, 555, 279, 220, 16, 267, 22454, 315, 279, 18039, 315, 279, 3723, 4273, 13, 1115, 1587, 539, 3152, 11, 4869, 11, 430, 994, 4423, 8791, 5153, 459, 30229, 433, 1288, 387, 2085, 29774, 13, 13266, 16296, 649, 387, 52909, 11, 323, 12756, 35516, 627, 49314, 11, 8260, 701, 32080, 477, 2748, 459, 653, 1517, 31436, 836, 649, 617, 8389, 29774, 311, 701, 3070, 13, 1054, 40345, 275, 1133, 311, 42597, 863, 374, 2500, 3629, 12744, 12616, 3187, 315, 8982, 11, 902, 374, 539, 76345, 13, 16782, 11, 420, 374, 14614, 7347, 311, 21308, 477, 5439, 35954, 315, 6848, 477, 7645, 315, 16801, 430, 63937, 279, 12396, 315, 459, 1180, 315, 14247, 9349, 627, 2181, 374, 369, 420, 2944, 430, 34349, 30534, 1436, 2019, 2391, 279, 480, 3168, 2311, 7274, 315, 5587, 220, 914, 11, 220, 679, 15, 11, 4856, 5030, 8838, 2269, 33839, 25, 1054, 63939, 34731, 323, 4208, 34731, 617, 1027, 91229, 369, 1667, 2476, 439, 422, 1070, 374, 4400, 5076, 449, 433, 13, 1115, 374, 1405, 358, 636, 1022, 279, 3772, 5951, 627, 15724, 584, 617, 3772, 28183, 430, 649, 5662, 832, 7239, 24475, 304, 2753, 1109, 264, 2132, 13, 3277, 814, 2187, 459, 29115, 369, 9349, 311, 2019, 2555, 389, 872, 1054, 1334, 2476, 814, 527, 11689, 430, 1054, 63157, 1584, 863, 315, 1148, 374, 31308, 311, 19570, 311, 872, 10877, 13, 1102, 374, 264, 12703, 2144, 315, 279, 3823, 3044, 430, 653, 59502, 7931, 3073, 17277, 13, 53296, 1431, 433, 279, 12014, 315, 1057, 3772, 28183, 315, 682, 13124, 311, 15641, 420, 2144, 11, 323, 2980, 279, 13336, 430, 814, 2643, 3709, 635, 477, 3493, 6848, 311, 1778, 69691, 552, 555, 7231, 28424, 315, 9349, 2680, 311, 3772, 30994, 31550, 5380, 2181, 5084, 311, 757, 430, 433, 374, 51382, 389, 3772, 28183, 311, 11142, 459, 5369, 311, 872, 37079, 31308, 2082, 11, 902, 7612, 1124, 311, 70903, 2980, 3508, 814, 527, 7231, 28424, 369, 9349, 264, 19262, 1366, 606, 311, 9041, 872, 6325, 13, 4702, 1606, 1778, 1274, 617, 279, 1314, 311, 2019, 1148, 814, 1390, 11, 1587, 539, 3152, 279, 3772, 2011, 97168, 872, 13458, 462, 337, 13, 31597, 11426, 323, 9875, 1288, 387, 2231, 389, 5406, 430, 1884, 430, 29115, 9349, 1555, 872, 4339, 323, 28198, 11, 6089, 477, 46345, 11, 690, 9229, 2680, 311, 279, 3772, 627, 2746, 420, 1051, 2884, 11, 1243, 264, 13579, 8712, 369, 10430, 304, 279, 3772, 26436, 1053, 387, 3508, 433, 574, 31308, 369, 264, 2728, 3772, 27487, 311, 2187, 264, 3738, 1934, 311, 387, 4756, 13, 32862, 3403, 3772, 28183, 1053, 387, 559, 3690, 3201, 505, 10923, 28424, 315, 9349, 2680, 311, 872, 3772, 19262, 1366, 606, 627, 66625, 48189, 374, 2216, 264, 3177, 11, 264, 52402, 2212, 279, 1917, 11, 1606, 584, 2515, 2349, 520, 279, 26938, 3830, 323, 539, 1606, 315, 1521, 704, 11490, 37379, 315, 9349, 304, 3738, 5157, 4696, 10604, 374, 264, 961, 315, 1057, 1920, 11, 719, 433, 753, 2216, 3062, 430, 584, 5357, 389, 279, 2144, 430, 584, 617, 264, 11650, 1920, 627, 2028, 4441, 574, 8621, 304, 50281, 304, 69653, 11, 25320, 315, 39841, 323, 38213, 220, 16, 267, 22454, 11, 50281, 304, 7972, 11, 15766, 315, 7972, 13, 56518, 279, 80328, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675 ]
[ 128000, 14884, 323, 39890, 374, 4613, 439, 279, 1614, 315, 4686, 7106, 11, 24064, 11, 439, 1664, 439, 3674, 2890, 13, 1102, 374, 264, 16595, 3823, 1314, 323, 264, 16595, 2980, 32145, 41664, 1429, 13, 62525, 527, 21190, 311, 1935, 71123, 11193, 323, 6056, 6514, 422, 814, 2733, 9498, 323, 24770, 13, 578, 33266, 38124, 38145, 279, 3566, 2723, 1990, 39890, 323, 20392, 304, 8396, 13, 44454, 323, 24770, 27833, 527, 53414, 13, 4452, 422, 2890, 323, 39890, 374, 539, 264, 4747, 304, 279, 6439, 315, 10283, 315, 1274, 11, 433, 374, 5107, 311, 12192, 2890, 323, 39890, 13, 2100, 7041, 1268, 656, 584, 18885, 2890, 323, 39890, 5380, 644, 356, 2379, 321, 30132, 753, 7438, 315, 2890, 11, 433, 5764, 279, 26119, 323, 1101, 304, 22805, 5540, 315, 2324, 13, 1115, 23692, 3727, 433, 8831, 369, 1274, 311, 8417, 279, 5540, 315, 2890, 323, 39890, 430, 17210, 311, 279, 4367, 315, 872, 6439, 13, 1952, 279, 1023, 1450, 11, 17563, 374, 459, 8278, 4623, 430, 374, 17436, 311, 7124, 323, 1101, 374, 6118, 17436, 311, 76498, 13, 1789, 420, 2944, 11, 433, 374, 7718, 311, 5813, 459, 23692, 315, 39890, 430, 5097, 1139, 18361, 279, 16975, 304, 902, 459, 3927, 6439, 13, 3296, 3815, 420, 11, 264, 1732, 753, 2890, 323, 39890, 649, 387, 11075, 323, 1101, 7863, 311, 1023, 1274, 753, 627, 3947, 527, 5370, 50800, 315, 39890, 3432, 13, 763, 1455, 5157, 11, 2890, 374, 4613, 439, 264, 1614, 315, 2860, 7106, 439, 1664, 439, 10723, 39890, 439, 1664, 439, 279, 23099, 311, 10299, 1938, 4791, 11477, 18651, 13, 362, 220, 18, 6634, 7438, 11, 4869, 11, 22020, 264, 1614, 315, 56411, 13, 41812, 11, 39890, 374, 279, 1614, 315, 1694, 304, 459, 56411, 449, 832, 753, 7106, 11, 3674, 11, 439, 1664, 439, 24064, 4676, 13, 13440, 264, 1732, 374, 9498, 323, 24770, 14117, 389, 1521, 6956, 13, 2684, 527, 39022, 39455, 430, 2643, 1520, 7417, 2890, 627, 80245, 389, 279, 7138, 315, 279, 17563, 11, 2890, 323, 39890, 649, 387, 13819, 773, 291, 10484, 275, 8046, 477, 5965, 275, 8046, 13, 1115, 13167, 8779, 6593, 15749, 8417, 3508, 459, 3927, 374, 9498, 477, 539, 13, 1102, 374, 3284, 311, 31990, 264, 1732, 753, 2890, 323, 39890, 555, 264, 6727, 315, 17150, 11, 2737, 27692, 69570, 323, 24035, 315, 13803, 13, 35053, 11, 279, 6593, 7419, 315, 2890, 323, 39890, 374, 7347, 304, 279, 5647, 430, 433, 49378, 1274, 753, 3927, 72597, 323, 1101, 8891, 826, 13, 1102, 374, 1193, 994, 1521, 13186, 527, 20097, 430, 39890, 374, 11054, 311, 387, 2216, 9498, 323, 24770, 627, 14884, 374, 3062, 311, 459, 3927, 753, 7446, 2324, 13, 578, 8824, 311, 3063, 459, 4642, 323, 1101, 7524, 2324, 14117, 5304, 2890, 1918, 13, 14285, 36853, 527, 5552, 323, 1397, 311, 387, 9498, 369, 279, 2547, 311, 734, 12722, 13, 14636, 11, 279, 13709, 315, 264, 9498, 323, 24770, 1648, 315, 5496, 649, 5471, 3044, 13, 362, 9498, 323, 24770, 2547, 374, 37938, 7718, 311, 264, 1732, 753, 3674, 439, 1664, 439, 10723, 2890, 13, 44454, 323, 24770, 12459, 30597, 649, 12576, 7916, 459, 3927, 753, 7106, 439, 1664, 439, 10723, 39890, 13, 2100, 11, 7041, 1268, 656, 584, 7417, 1057, 2890, 30, 42536, 11, 1070, 527, 1063, 28554, 430, 649, 7945, 627, 34710, 267, 279, 3674, 6956, 315, 2890, 11, 50953, 4787, 323, 5054, 6067, 527, 220, 17, 315, 832, 315, 279, 1455, 21102, 9547, 13, 6104, 50953, 13878, 1093, 279, 1579, 4367, 315, 3805, 323, 1101, 3090, 649, 7417, 39890, 11, 3674, 4787, 649, 8108, 7931, 753, 19433, 13, 23674, 11, 39890, 20124, 527, 69214, 28160, 555, 3674, 7482, 11, 2737, 19821, 315, 40800, 311, 9498, 323, 24770, 3691, 13, 53123, 11, 3958, 46798, 16409, 2643, 387, 264, 8331, 304, 4851, 8624, 323, 20335, 54448, 36891, 13, 1115, 649, 5536, 264, 1732, 753, 2890, 323, 39890, 323, 1101, 5353, 5199, 83057, 627, 791, 41910, 61283, 21021, 30202, 2890, 323, 39890, 439, 264, 1614, 315, 4686, 7106, 11, 24064, 11, 323, 3674, 2890, 13, 1115, 649, 387, 27332, 555, 89689, 7931, 311, 1935, 961, 304, 9498, 9256, 439, 1664, 439, 77391, 279, 6023, 5540, 430, 649, 5353, 8624, 13, 56733, 11, 1521, 16346, 1120, 2686, 264, 3857, 315, 279, 39890, 4360, 11, 439, 1070, 527, 43563, 11384, 430, 1288, 387, 27023, 449, 2288, 13, 34863, 11, 304, 2015, 311, 1304, 264, 30296, 304, 39890, 11, 6918, 17047, 1397, 311, 9604, 311, 1690, 7482, 11, 2737, 1120, 1268, 8396, 2819, 2890, 627, 40353, 2890, 16964, 459, 3927, 753, 2547, 753, 5845, 311, 990, 8965, 13, 1102, 17610, 315, 10173, 68128, 11, 42853, 7106, 323, 1101, 24064, 10368, 11, 439, 1664, 439, 6212, 13, 38895, 39890, 40531, 449, 279, 4059, 11, 31706, 315, 72597, 323, 21958, 11, 1268, 832, 13777, 18547, 11, 439, 1664, 439, 7041, 1268, 1664, 459, 3927, 13551, 34049, 13, 13266, 449, 10723, 39890, 10742, 527, 810, 35977, 311, 3217, 7106, 323, 10723, 2890, 4360, 13, 63554, 11, 433, 374, 3284, 311, 11322, 264, 8335, 1990, 1521, 2380, 22323, 627, 8142, 21389, 439, 1664, 439, 4676, 5536, 1274, 304, 2204, 3445, 11, 814, 527, 39022, 40028, 555, 279, 3674, 323, 1101, 7100, 16975, 13, 6104, 9498, 323, 24770, 22484, 649, 7916, 3927, 24617, 11, 53808, 5110, 649, 1121, 304, 65208, 7969, 315, 33048, 11, 11210, 4648, 11, 439, 1664, 439, 5370, 1023, 17563, 13, 1115, 374, 3249, 433, 374, 5995, 311, 1781, 922, 279, 3674, 323, 7100, 16975, 994, 20646, 369, 18985, 13, 1789, 3187, 11, 3958, 11983, 439, 1664, 439, 46579, 7710, 527, 3682, 11384, 315, 2890, 3575, 304, 61095, 13, 362, 6996, 315, 4029, 41308, 12295, 323, 264, 9498, 323, 24770, 4676, 649, 3063, 311, 11293, 39890, 323, 4689, 23871, 627, 3947, 527, 1690, 3445, 311, 7916, 2890, 2512, 40800, 323, 1101, 1579, 4367, 304, 40489, 27833, 13, 578, 6156, 3094, 374, 311, 14158, 1148, 41095, 264, 2890, 323, 39890, 1887, 13, 1115, 23692, 690, 7995, 387, 10223, 449, 892, 11, 3686, 304, 279, 33953, 11, 279, 3623, 6114, 1113, 47750, 323, 1101, 41991, 315, 58240, 617, 5300, 279, 4751, 13, 578, 7419, 374, 3196, 389, 279, 1219, 3825, 2411, 315, 549, 815, 13, 6401, 1628, 61283, 70814, 1392, 13, 578, 7419, 3966, 311, 387, 11041, 304, 279, 3938, 11, 439, 2890, 2512, 15180, 374, 264, 16996, 4360, 304, 904, 955, 315, 8396, 627, 14884, 323, 39890, 12062, 527, 264, 1121, 315, 279, 16628, 1990, 3230, 21389, 11, 50953, 5540, 11, 323, 1648, 315, 15471, 826, 13, 9983, 6449, 1821, 10383, 264, 8205, 315, 2890, 842, 3135, 11, 31706, 315, 3044, 323, 53317, 13, 763, 1455, 5157, 11, 1521, 7482, 649, 1524, 7958, 459, 3927, 753, 2680, 311, 18985, 13, 44454, 62525, 220, 2366, 15, 75762, 1521, 3674, 7482, 6957, 1202, 5370, 15223, 13, 1556, 3927, 753, 6376, 649, 29057, 5536, 872, 39890, 13, 1102, 649, 39022, 7958, 872, 4367, 315, 2324, 13, 578, 3485, 10507, 527, 1120, 264, 2678, 6205, 315, 279, 7482, 430, 7958, 39890, 13, 14459, 31624, 10368, 13695, 198, 86469, 311, 6593, 2038, 374, 264, 16996, 88060, 315, 264, 3224, 753, 2890, 2512, 1887, 13, 44430, 11, 35944, 11, 439, 1664, 439, 6444, 617, 279, 5845, 311, 1304, 33142, 2671, 3196, 5304, 3649, 31368, 2561, 311, 1124, 13, 9742, 311, 6593, 3649, 706, 3604, 37938, 11754, 279, 21845, 315, 28378, 13, 362, 6996, 315, 71160, 304, 6593, 2512, 706, 1027, 13882, 60479, 11, 4869, 502, 13543, 2643, 5276, 420, 304, 279, 3938, 13, 2684, 374, 264, 24408, 304, 1990, 279, 16686, 369, 3649, 28330, 439, 1664, 439, 279, 7631, 311, 49071, 8893, 12625, 11, 439, 1664, 439, 279, 6023, 430, 2890, 3630, 649, 387, 5906, 2656, 369, 2626, 8895, 13, 128001, 128000, 4071, 466, 15356, 3178, 12407, 1101, 3967, 439, 7505, 818, 15356, 3178, 12407, 11, 7505, 818, 921, 587, 747, 477, 650, 15299, 15356, 3178, 12407, 527, 264, 5526, 4987, 7904, 40459, 13, 15356, 3178, 12407, 374, 264, 5655, 41951, 42954, 40459, 1903, 449, 20228, 20415, 323, 23882, 20415, 13, 4314, 527, 35661, 682, 21691, 279, 1060, 323, 7995, 1903, 2391, 45517, 13, 31457, 8309, 3178, 12407, 374, 264, 30673, 2373, 315, 279, 8776, 8309, 3178, 12407, 477, 523, 587, 747, 13, 4314, 527, 1633, 3177, 11, 95333, 323, 617, 459, 57407, 17615, 315, 14432, 627, 3947, 527, 264, 1167, 15068, 19141, 311, 1304, 1521, 323, 814, 682, 13592, 10284, 304, 279, 49892, 612, 14293, 13, 1115, 31457, 15356, 3178, 12407, 26371, 374, 264, 11670, 832, 323, 374, 1148, 584, 1304, 520, 856, 22969, 753, 2162, 13, 358, 1101, 8101, 420, 374, 264, 5410, 11363, 1511, 555, 1690, 4987, 7904, 2162, 73527, 627, 4071, 466, 15356, 3178, 12407, 374, 264, 11670, 42197, 27367, 20228, 20415, 40459, 88340, 449, 14432, 323, 49659, 13, 4314, 527, 264, 5526, 59937, 2442, 1244, 505, 279, 4987, 7904, 81961, 323, 527, 1903, 2391, 80409, 19455, 32329, 72, 11, 7923, 86, 8115, 11, 50181, 4385, 921, 2693, 339, 72, 323, 328, 1201, 81, 15719, 13, 31457, 8309, 3178, 12407, 527, 1101, 264, 4279, 40459, 2561, 304, 279, 4987, 7904, 29492, 552, 323, 40459, 20021, 627, 71744, 279, 14432, 8309, 3178, 12407, 6216, 304, 279, 20021, 612, 76928, 552, 527, 779, 3177, 430, 814, 527, 304, 11102, 9863, 922, 220, 18, 17560, 1855, 323, 539, 304, 18823, 1147, 13, 1666, 584, 3577, 279, 31452, 505, 279, 51370, 11, 279, 8309, 3178, 12407, 1120, 18808, 1022, 323, 430, 753, 1268, 279, 31452, 374, 10171, 311, 387, 13, 1115, 36508, 3177, 14432, 8309, 3178, 12407, 627, 791, 21801, 315, 14293, 311, 1304, 279, 31452, 374, 279, 1401, 311, 1304, 1124, 779, 3177, 323, 73624, 13, 2100, 656, 539, 11857, 279, 11363, 13, 1115, 374, 539, 264, 93441, 11363, 323, 279, 21801, 315, 20228, 20415, 311, 14432, 13146, 279, 1455, 627, 2746, 499, 923, 810, 14432, 11, 814, 690, 1464, 709, 311, 1790, 9333, 9863, 1418, 279, 31452, 374, 17770, 323, 14432, 8309, 3178, 12407, 690, 61792, 709, 5707, 13, 7429, 358, 32262, 499, 1005, 279, 1888, 4367, 7120, 62334, 14432, 627, 8538, 3637, 11021, 719, 5153, 617, 14403, 82486, 3779, 311, 1124, 323, 420, 3169, 315, 14432, 1253, 13091, 339, 709, 279, 5707, 1418, 87196, 323, 1524, 649, 5353, 279, 14432, 8309, 3178, 12407, 311, 21165, 627, 2746, 499, 527, 264, 50048, 499, 1253, 1505, 433, 5107, 311, 6211, 279, 8309, 3178, 12407, 14, 523, 587, 747, 311, 42197, 439, 279, 10651, 315, 14432, 8309, 3178, 12407, 31452, 374, 2204, 13, 2100, 656, 539, 9395, 311, 6211, 1124, 1664, 1093, 264, 8309, 3178, 12407, 13, 1472, 1288, 387, 3025, 311, 1304, 4528, 311, 2555, 358, 617, 6982, 304, 279, 1176, 6945, 320, 18, 17560, 9863, 4390, 40, 1511, 3637, 11021, 7060, 20228, 20415, 13, 1442, 1701, 3637, 11021, 11, 358, 4284, 75436, 433, 1603, 1701, 627, 10464, 1695, 4367, 7120, 62334, 14432, 627, 5519, 539, 1304, 4883, 20953, 449, 279, 2163, 927, 31452, 11, 814, 527, 4461, 311, 21165, 304, 5707, 1418, 87196, 627, 4071, 466, 15356, 3178, 12407, 26371, 1176, 4756, 304, 6841, 220, 679, 20, 13, 16459, 323, 2109, 11931, 304, 6287, 220, 2366, 17, 13, 128001 ]
[ -100, 14884, 323, 39890, 374, 4613, 439, 279, 1614, 315, 4686, 7106, 11, 24064, 11, 439, 1664, 439, 3674, 2890, 13, 1102, 374, 264, 16595, 3823, 1314, 323, 264, 16595, 2980, 32145, 41664, 1429, 13, 62525, 527, 21190, 311, 1935, 71123, 11193, 323, 6056, 6514, 422, 814, 2733, 9498, 323, 24770, 13, 578, 33266, 38124, 38145, 279, 3566, 2723, 1990, 39890, 323, 20392, 304, 8396, 13, 44454, 323, 24770, 27833, 527, 53414, 13, 4452, 422, 2890, 323, 39890, 374, 539, 264, 4747, 304, 279, 6439, 315, 10283, 315, 1274, 11, 433, 374, 5107, 311, 12192, 2890, 323, 39890, 13, 2100, 7041, 1268, 656, 584, 18885, 2890, 323, 39890, 5380, 644, 356, 2379, 321, 30132, 753, 7438, 315, 2890, 11, 433, 5764, 279, 26119, 323, 1101, 304, 22805, 5540, 315, 2324, 13, 1115, 23692, 3727, 433, 8831, 369, 1274, 311, 8417, 279, 5540, 315, 2890, 323, 39890, 430, 17210, 311, 279, 4367, 315, 872, 6439, 13, 1952, 279, 1023, 1450, 11, 17563, 374, 459, 8278, 4623, 430, 374, 17436, 311, 7124, 323, 1101, 374, 6118, 17436, 311, 76498, 13, 1789, 420, 2944, 11, 433, 374, 7718, 311, 5813, 459, 23692, 315, 39890, 430, 5097, 1139, 18361, 279, 16975, 304, 902, 459, 3927, 6439, 13, 3296, 3815, 420, 11, 264, 1732, 753, 2890, 323, 39890, 649, 387, 11075, 323, 1101, 7863, 311, 1023, 1274, 753, 627, 3947, 527, 5370, 50800, 315, 39890, 3432, 13, 763, 1455, 5157, 11, 2890, 374, 4613, 439, 264, 1614, 315, 2860, 7106, 439, 1664, 439, 10723, 39890, 439, 1664, 439, 279, 23099, 311, 10299, 1938, 4791, 11477, 18651, 13, 362, 220, 18, 6634, 7438, 11, 4869, 11, 22020, 264, 1614, 315, 56411, 13, 41812, 11, 39890, 374, 279, 1614, 315, 1694, 304, 459, 56411, 449, 832, 753, 7106, 11, 3674, 11, 439, 1664, 439, 24064, 4676, 13, 13440, 264, 1732, 374, 9498, 323, 24770, 14117, 389, 1521, 6956, 13, 2684, 527, 39022, 39455, 430, 2643, 1520, 7417, 2890, 627, 80245, 389, 279, 7138, 315, 279, 17563, 11, 2890, 323, 39890, 649, 387, 13819, 773, 291, 10484, 275, 8046, 477, 5965, 275, 8046, 13, 1115, 13167, 8779, 6593, 15749, 8417, 3508, 459, 3927, 374, 9498, 477, 539, 13, 1102, 374, 3284, 311, 31990, 264, 1732, 753, 2890, 323, 39890, 555, 264, 6727, 315, 17150, 11, 2737, 27692, 69570, 323, 24035, 315, 13803, 13, 35053, 11, 279, 6593, 7419, 315, 2890, 323, 39890, 374, 7347, 304, 279, 5647, 430, 433, 49378, 1274, 753, 3927, 72597, 323, 1101, 8891, 826, 13, 1102, 374, 1193, 994, 1521, 13186, 527, 20097, 430, 39890, 374, 11054, 311, 387, 2216, 9498, 323, 24770, 627, 14884, 374, 3062, 311, 459, 3927, 753, 7446, 2324, 13, 578, 8824, 311, 3063, 459, 4642, 323, 1101, 7524, 2324, 14117, 5304, 2890, 1918, 13, 14285, 36853, 527, 5552, 323, 1397, 311, 387, 9498, 369, 279, 2547, 311, 734, 12722, 13, 14636, 11, 279, 13709, 315, 264, 9498, 323, 24770, 1648, 315, 5496, 649, 5471, 3044, 13, 362, 9498, 323, 24770, 2547, 374, 37938, 7718, 311, 264, 1732, 753, 3674, 439, 1664, 439, 10723, 2890, 13, 44454, 323, 24770, 12459, 30597, 649, 12576, 7916, 459, 3927, 753, 7106, 439, 1664, 439, 10723, 39890, 13, 2100, 11, 7041, 1268, 656, 584, 7417, 1057, 2890, 30, 42536, 11, 1070, 527, 1063, 28554, 430, 649, 7945, 627, 34710, 267, 279, 3674, 6956, 315, 2890, 11, 50953, 4787, 323, 5054, 6067, 527, 220, 17, 315, 832, 315, 279, 1455, 21102, 9547, 13, 6104, 50953, 13878, 1093, 279, 1579, 4367, 315, 3805, 323, 1101, 3090, 649, 7417, 39890, 11, 3674, 4787, 649, 8108, 7931, 753, 19433, 13, 23674, 11, 39890, 20124, 527, 69214, 28160, 555, 3674, 7482, 11, 2737, 19821, 315, 40800, 311, 9498, 323, 24770, 3691, 13, 53123, 11, 3958, 46798, 16409, 2643, 387, 264, 8331, 304, 4851, 8624, 323, 20335, 54448, 36891, 13, 1115, 649, 5536, 264, 1732, 753, 2890, 323, 39890, 323, 1101, 5353, 5199, 83057, 627, 791, 41910, 61283, 21021, 30202, 2890, 323, 39890, 439, 264, 1614, 315, 4686, 7106, 11, 24064, 11, 323, 3674, 2890, 13, 1115, 649, 387, 27332, 555, 89689, 7931, 311, 1935, 961, 304, 9498, 9256, 439, 1664, 439, 77391, 279, 6023, 5540, 430, 649, 5353, 8624, 13, 56733, 11, 1521, 16346, 1120, 2686, 264, 3857, 315, 279, 39890, 4360, 11, 439, 1070, 527, 43563, 11384, 430, 1288, 387, 27023, 449, 2288, 13, 34863, 11, 304, 2015, 311, 1304, 264, 30296, 304, 39890, 11, 6918, 17047, 1397, 311, 9604, 311, 1690, 7482, 11, 2737, 1120, 1268, 8396, 2819, 2890, 627, 40353, 2890, 16964, 459, 3927, 753, 2547, 753, 5845, 311, 990, 8965, 13, 1102, 17610, 315, 10173, 68128, 11, 42853, 7106, 323, 1101, 24064, 10368, 11, 439, 1664, 439, 6212, 13, 38895, 39890, 40531, 449, 279, 4059, 11, 31706, 315, 72597, 323, 21958, 11, 1268, 832, 13777, 18547, 11, 439, 1664, 439, 7041, 1268, 1664, 459, 3927, 13551, 34049, 13, 13266, 449, 10723, 39890, 10742, 527, 810, 35977, 311, 3217, 7106, 323, 10723, 2890, 4360, 13, 63554, 11, 433, 374, 3284, 311, 11322, 264, 8335, 1990, 1521, 2380, 22323, 627, 8142, 21389, 439, 1664, 439, 4676, 5536, 1274, 304, 2204, 3445, 11, 814, 527, 39022, 40028, 555, 279, 3674, 323, 1101, 7100, 16975, 13, 6104, 9498, 323, 24770, 22484, 649, 7916, 3927, 24617, 11, 53808, 5110, 649, 1121, 304, 65208, 7969, 315, 33048, 11, 11210, 4648, 11, 439, 1664, 439, 5370, 1023, 17563, 13, 1115, 374, 3249, 433, 374, 5995, 311, 1781, 922, 279, 3674, 323, 7100, 16975, 994, 20646, 369, 18985, 13, 1789, 3187, 11, 3958, 11983, 439, 1664, 439, 46579, 7710, 527, 3682, 11384, 315, 2890, 3575, 304, 61095, 13, 362, 6996, 315, 4029, 41308, 12295, 323, 264, 9498, 323, 24770, 4676, 649, 3063, 311, 11293, 39890, 323, 4689, 23871, 627, 3947, 527, 1690, 3445, 311, 7916, 2890, 2512, 40800, 323, 1101, 1579, 4367, 304, 40489, 27833, 13, 578, 6156, 3094, 374, 311, 14158, 1148, 41095, 264, 2890, 323, 39890, 1887, 13, 1115, 23692, 690, 7995, 387, 10223, 449, 892, 11, 3686, 304, 279, 33953, 11, 279, 3623, 6114, 1113, 47750, 323, 1101, 41991, 315, 58240, 617, 5300, 279, 4751, 13, 578, 7419, 374, 3196, 389, 279, 1219, 3825, 2411, 315, 549, 815, 13, 6401, 1628, 61283, 70814, 1392, 13, 578, 7419, 3966, 311, 387, 11041, 304, 279, 3938, 11, 439, 2890, 2512, 15180, 374, 264, 16996, 4360, 304, 904, 955, 315, 8396, 627, 14884, 323, 39890, 12062, 527, 264, 1121, 315, 279, 16628, 1990, 3230, 21389, 11, 50953, 5540, 11, 323, 1648, 315, 15471, 826, 13, 9983, 6449, 1821, 10383, 264, 8205, 315, 2890, 842, 3135, 11, 31706, 315, 3044, 323, 53317, 13, 763, 1455, 5157, 11, 1521, 7482, 649, 1524, 7958, 459, 3927, 753, 2680, 311, 18985, 13, 44454, 62525, 220, 2366, 15, 75762, 1521, 3674, 7482, 6957, 1202, 5370, 15223, 13, 1556, 3927, 753, 6376, 649, 29057, 5536, 872, 39890, 13, 1102, 649, 39022, 7958, 872, 4367, 315, 2324, 13, 578, 3485, 10507, 527, 1120, 264, 2678, 6205, 315, 279, 7482, 430, 7958, 39890, 13, 14459, 31624, 10368, 13695, 198, 86469, 311, 6593, 2038, 374, 264, 16996, 88060, 315, 264, 3224, 753, 2890, 2512, 1887, 13, 44430, 11, 35944, 11, 439, 1664, 439, 6444, 617, 279, 5845, 311, 1304, 33142, 2671, 3196, 5304, 3649, 31368, 2561, 311, 1124, 13, 9742, 311, 6593, 3649, 706, 3604, 37938, 11754, 279, 21845, 315, 28378, 13, 362, 6996, 315, 71160, 304, 6593, 2512, 706, 1027, 13882, 60479, 11, 4869, 502, 13543, 2643, 5276, 420, 304, 279, 3938, 13, 2684, 374, 264, 24408, 304, 1990, 279, 16686, 369, 3649, 28330, 439, 1664, 439, 279, 7631, 311, 49071, 8893, 12625, 11, 439, 1664, 439, 279, 6023, 430, 2890, 3630, 649, 387, 5906, 2656, 369, 2626, 8895, 13, 128001, -100, 4071, 466, 15356, 3178, 12407, 1101, 3967, 439, 7505, 818, 15356, 3178, 12407, 11, 7505, 818, 921, 587, 747, 477, 650, 15299, 15356, 3178, 12407, 527, 264, 5526, 4987, 7904, 40459, 13, 15356, 3178, 12407, 374, 264, 5655, 41951, 42954, 40459, 1903, 449, 20228, 20415, 323, 23882, 20415, 13, 4314, 527, 35661, 682, 21691, 279, 1060, 323, 7995, 1903, 2391, 45517, 13, 31457, 8309, 3178, 12407, 374, 264, 30673, 2373, 315, 279, 8776, 8309, 3178, 12407, 477, 523, 587, 747, 13, 4314, 527, 1633, 3177, 11, 95333, 323, 617, 459, 57407, 17615, 315, 14432, 627, 3947, 527, 264, 1167, 15068, 19141, 311, 1304, 1521, 323, 814, 682, 13592, 10284, 304, 279, 49892, 612, 14293, 13, 1115, 31457, 15356, 3178, 12407, 26371, 374, 264, 11670, 832, 323, 374, 1148, 584, 1304, 520, 856, 22969, 753, 2162, 13, 358, 1101, 8101, 420, 374, 264, 5410, 11363, 1511, 555, 1690, 4987, 7904, 2162, 73527, 627, 4071, 466, 15356, 3178, 12407, 374, 264, 11670, 42197, 27367, 20228, 20415, 40459, 88340, 449, 14432, 323, 49659, 13, 4314, 527, 264, 5526, 59937, 2442, 1244, 505, 279, 4987, 7904, 81961, 323, 527, 1903, 2391, 80409, 19455, 32329, 72, 11, 7923, 86, 8115, 11, 50181, 4385, 921, 2693, 339, 72, 323, 328, 1201, 81, 15719, 13, 31457, 8309, 3178, 12407, 527, 1101, 264, 4279, 40459, 2561, 304, 279, 4987, 7904, 29492, 552, 323, 40459, 20021, 627, 71744, 279, 14432, 8309, 3178, 12407, 6216, 304, 279, 20021, 612, 76928, 552, 527, 779, 3177, 430, 814, 527, 304, 11102, 9863, 922, 220, 18, 17560, 1855, 323, 539, 304, 18823, 1147, 13, 1666, 584, 3577, 279, 31452, 505, 279, 51370, 11, 279, 8309, 3178, 12407, 1120, 18808, 1022, 323, 430, 753, 1268, 279, 31452, 374, 10171, 311, 387, 13, 1115, 36508, 3177, 14432, 8309, 3178, 12407, 627, 791, 21801, 315, 14293, 311, 1304, 279, 31452, 374, 279, 1401, 311, 1304, 1124, 779, 3177, 323, 73624, 13, 2100, 656, 539, 11857, 279, 11363, 13, 1115, 374, 539, 264, 93441, 11363, 323, 279, 21801, 315, 20228, 20415, 311, 14432, 13146, 279, 1455, 627, 2746, 499, 923, 810, 14432, 11, 814, 690, 1464, 709, 311, 1790, 9333, 9863, 1418, 279, 31452, 374, 17770, 323, 14432, 8309, 3178, 12407, 690, 61792, 709, 5707, 13, 7429, 358, 32262, 499, 1005, 279, 1888, 4367, 7120, 62334, 14432, 627, 8538, 3637, 11021, 719, 5153, 617, 14403, 82486, 3779, 311, 1124, 323, 420, 3169, 315, 14432, 1253, 13091, 339, 709, 279, 5707, 1418, 87196, 323, 1524, 649, 5353, 279, 14432, 8309, 3178, 12407, 311, 21165, 627, 2746, 499, 527, 264, 50048, 499, 1253, 1505, 433, 5107, 311, 6211, 279, 8309, 3178, 12407, 14, 523, 587, 747, 311, 42197, 439, 279, 10651, 315, 14432, 8309, 3178, 12407, 31452, 374, 2204, 13, 2100, 656, 539, 9395, 311, 6211, 1124, 1664, 1093, 264, 8309, 3178, 12407, 13, 1472, 1288, 387, 3025, 311, 1304, 4528, 311, 2555, 358, 617, 6982, 304, 279, 1176, 6945, 320, 18, 17560, 9863, 4390, 40, 1511, 3637, 11021, 7060, 20228, 20415, 13, 1442, 1701, 3637, 11021, 11, 358, 4284, 75436, 433, 1603, 1701, 627, 10464, 1695, 4367, 7120, 62334, 14432, 627, 5519, 539, 1304, 4883, 20953, 449, 279, 2163, 927, 31452, 11, 814, 527, 4461, 311, 21165, 304, 5707, 1418, 87196, 627, 4071, 466, 15356, 3178, 12407, 26371, 1176, 4756, 304, 6841, 220, 679, 20, 13, 16459, 323, 2109, 11931, 304, 6287, 220, 2366, 17, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559 ]
[ 128000, 89441, 11, 420, 1207, 374, 19261, 3221, 9572, 788, 5990, 13, 2009, 588, 263, 18366, 374, 1057, 29074, 13, 1283, 6944, 311, 4822, 1618, 11, 719, 568, 69944, 433, 311, 5678, 311, 35608, 813, 907, 13, 1442, 430, 3445, 2133, 311, 1514, 18403, 779, 387, 433, 2001, 358, 2834, 1431, 14867, 264, 7564, 889, 753, 16654, 12387, 15319, 369, 603, 422, 568, 753, 4560, 311, 1304, 3300, 311, 14201, 813, 2324, 11, 813, 8689, 2324, 13, 358, 7070, 656, 279, 1890, 3245, 382, 1283, 753, 539, 14733, 323, 4382, 13, 1283, 753, 44725, 13, 1102, 5097, 264, 1317, 892, 11, 5423, 2728, 279, 3361, 6671, 1405, 568, 753, 279, 1888, 1203, 323, 1101, 264, 2294, 14291, 323, 420, 374, 264, 1938, 323, 4325, 1405, 29074, 82, 527, 2073, 6283, 3340, 13, 1283, 16180, 420, 2128, 11, 568, 16180, 813, 32746, 323, 814, 1093, 1461, 1203, 13, 2030, 568, 3966, 311, 656, 1148, 753, 1314, 369, 1461, 311, 382, 2746, 568, 11141, 11, 779, 387, 433, 13, 358, 15803, 568, 690, 5387, 94121, 28627, 323, 2744, 10168, 420, 2035, 3361, 13, 1628, 584, 4805, 3351, 389, 311, 264, 502, 7564, 13, 42896, 1205, 311, 636, 927, 5694, 323, 420, 23035, 430, 23579, 2011, 1501, 32883, 311, 279, 2128, 889, 39056, 1461, 13, 1226, 690, 3136, 311, 387, 28627, 7359, 912, 5030, 889, 8640, 279, 5041, 369, 603, 13, 128001, 128000, 11916, 35415, 27171, 4783, 198, 21383, 220, 1032, 198, 51, 69261, 505, 5250, 370, 1094, 68626, 753, 27872, 5234, 6150, 527, 51713, 304, 420, 59759, 627, 10407, 370, 1094, 40432, 27872, 5234, 6150, 43741, 11005, 374, 13758, 1203, 311, 279, 5348, 8425, 0, 16877, 1124, 369, 3814, 315, 4731, 4999, 5519, 1105, 1825, 520, 220, 21, 25, 966, 5298, 627, 48051, 3095, 520, 220, 22, 5298, 627, 56421, 527, 400, 20, 520, 279, 6134, 627, 48541, 1221, 26540, 15948, 198, 5358, 3166, 926, 16788, 423, 31404, 612, 88030, 5736, 12, 5186, 220, 1032, 11, 220, 679, 24, 520, 220, 2705, 25, 966, 9012, 482, 220, 2545, 25, 410, 9012, 320, 35982, 340, 20517, 128001, 128000, 1163, 6073, 350, 27349, 374, 69593, 449, 1690, 2574, 25, 22855, 11, 11977, 11, 264, 97787, 2320, 561, 11, 264, 94728, 8270, 94571, 685, 323, 459, 41708, 3070, 2324, 449, 7555, 88354, 50400, 276, 9469, 27349, 13, 2030, 40500, 13073, 304, 6453, 11, 2967, 3785, 88826, 374, 539, 832, 315, 279, 2574, 1455, 15499, 5938, 449, 279, 220, 1313, 29888, 6825, 12360, 13, 1115, 4498, 11, 350, 27349, 9958, 14329, 14129, 10852, 657, 320, 258, 459, 18813, 439, 74746, 48689, 41913, 3560, 8, 304, 13585, 7320, 261, 627, 791, 4632, 11263, 279, 837, 3446, 315, 25944, 98930, 323, 20820, 4488, 323, 20851, 67905, 320, 51, 27349, 323, 4488, 432, 1386, 12812, 11, 15947, 8, 323, 872, 5133, 449, 25438, 3842, 3930, 40870, 13, 1442, 499, 3077, 3970, 279, 50805, 11, 477, 1051, 6223, 88, 311, 220, 2550, 21, 17222, 31186, 11, 499, 1440, 7041, 1405, 420, 19775, 374, 19946, 627, 1163, 6073, 350, 27349, 11, 3235, 449, 14129, 10852, 657, 11, 7690, 39386, 17472, 320, 25821, 4047, 8, 323, 279, 4632, 596, 16483, 20802, 311, 3137, 311, 19578, 520, 279, 9853, 12167, 3577, 1938, 369, 279, 4632, 13, 1628, 350, 27349, 1047, 912, 3575, 48466, 287, 430, 279, 5818, 574, 279, 1455, 5107, 8815, 315, 813, 7076, 627, 22336, 649, 956, 12700, 36540, 1359, 568, 1071, 13, 330, 791, 2653, 13280, 13, 358, 1541, 956, 1781, 814, 3358, 3596, 5387, 856, 2547, 13, 1226, 9687, 1633, 6288, 430, 499, 649, 12700, 264, 21004, 11, 719, 499, 1205, 311, 1518, 279, 1450, 4295, 279, 3185, 315, 279, 3663, 323, 279, 2010, 70896, 1303, 13, 1102, 574, 555, 3117, 11, 323, 358, 1541, 956, 2019, 420, 34504, 11, 279, 37554, 3245, 358, 3077, 3596, 2884, 10246, 51, 27349, 11, 889, 374, 1664, 12, 44876, 304, 279, 1917, 315, 10034, 11, 37959, 19071, 323, 15612, 11, 36131, 813, 7106, 9669, 304, 459, 11622, 502, 1648, 369, 13585, 7320, 261, 13, 330, 2181, 574, 264, 8657, 511, 1113, 323, 1633, 26175, 3245, 11, 719, 520, 279, 842, 315, 279, 1938, 358, 2846, 779, 1120, 304, 51517, 315, 1884, 23579, 11, 323, 1633, 1633, 12691, 311, 617, 1027, 2728, 1778, 459, 8056, 892, 323, 5357, 1555, 1063, 315, 279, 1455, 8056, 23579, 358, 3077, 3596, 2322, 449, 13, 1102, 574, 264, 40149, 10246, 51, 27349, 11, 449, 813, 9498, 77723, 323, 3167, 66, 839, 13272, 743, 1990, 7029, 25063, 28004, 11, 374, 279, 7106, 10728, 315, 264, 83162, 13, 2030, 813, 15718, 45116, 11, 14129, 10852, 657, 11, 374, 1511, 311, 1701, 813, 95471, 18912, 323, 14604, 15718, 18000, 927, 813, 7106, 8333, 627, 1, 38595, 374, 3604, 264, 2294, 34880, 1359, 350, 27349, 10675, 13, 330, 1687, 1047, 311, 387, 1093, 11, 364, 28551, 1695, 11, 14129, 11, 2753, 1695, 3238, 358, 574, 304, 51517, 315, 1120, 3794, 311, 990, 449, 510, 38595, 612, 4488, 432, 1386, 12812, 948, 2435, 2351, 779, 304, 2585, 315, 1148, 814, 656, 13, 14129, 596, 5845, 311, 4822, 304, 433, 374, 5128, 40037, 89234, 5655, 13, 4488, 11, 568, 596, 3604, 856, 2466, 10868, 1457, 13, 358, 3077, 1071, 433, 311, 1461, 11, 364, 40, 2846, 701, 2697, 10868, 1457, 3238, 702, 51, 27349, 596, 3752, 304, 279, 4632, 374, 279, 7419, 315, 21737, 323, 2967, 3785, 13, 1283, 374, 264, 49737, 32549, 11, 11660, 3148, 11, 719, 813, 2410, 374, 653, 52858, 13, 350, 27349, 596, 4488, 67905, 23291, 449, 3063, 7693, 323, 10508, 28004, 11, 60375, 1880, 944, 750, 18742, 654, 291, 627, 7189, 2751, 311, 15020, 704, 449, 4488, 264, 2763, 1359, 350, 27349, 1071, 13, 330, 791, 1648, 568, 23291, 11, 279, 1648, 568, 10187, 813, 23243, 11, 568, 1120, 11321, 1093, 264, 2216, 11660, 10065, 11, 323, 568, 11031, 1555, 2324, 430, 1648, 13, 1283, 4934, 1274, 311, 387, 16984, 315, 1461, 13, 763, 36540, 1131, 1070, 596, 264, 2763, 1694, 1071, 2085, 7556, 13, 1472, 2351, 304, 264, 11594, 19343, 11, 323, 499, 1120, 6865, 1099, 38040, 323, 1776, 4214, 323, 1776, 2690, 323, 27027, 2653, 13, 578, 1648, 430, 499, 1450, 4465, 374, 264, 2766, 315, 264, 33819, 2489, 10246, 2028, 4536, 956, 279, 1176, 892, 350, 27349, 596, 6476, 264, 1972, 2324, 1732, 389, 4632, 13, 1283, 6476, 264, 18069, 11, 8761, 45539, 10585, 304, 220, 1049, 21, 596, 362, 13002, 311, 67975, 4954, 4718, 33319, 11, 323, 4488, 67905, 15785, 279, 2132, 330, 31039, 1022, 264, 837, 1732, 1, 3446, 568, 596, 59335, 304, 627, 22336, 527, 5737, 4423, 13989, 11, 719, 13967, 814, 2351, 11028, 315, 279, 1732, 1359, 350, 27349, 1071, 13, 330, 791, 45525, 527, 1633, 1633, 1579, 13, 358, 617, 311, 3974, 449, 4488, 67905, 304, 279, 1917, 323, 16026, 358, 1550, 1063, 3392, 315, 12437, 369, 1461, 13, 358, 649, 956, 2231, 4395, 430, 4488, 1443, 55526, 374, 304, 220, 1954, 4520, 11, 433, 3250, 956, 990, 1093, 430, 13, 2030, 1070, 596, 24617, 304, 14392, 358, 2163, 433, 682, 704, 1070, 13, 358, 1440, 358, 6688, 682, 279, 8146, 358, 1436, 11000, 3041, 779, 430, 4423, 649, 6308, 264, 6945, 10246, 8142, 95471, 24195, 14129, 10852, 657, 38239, 311, 19762, 311, 23564, 810, 6129, 13073, 11, 350, 27349, 4536, 956, 779, 2771, 13, 5414, 18147, 536, 89, 315, 13073, 374, 13057, 11, 719, 1694, 30929, 264, 330, 94427, 12360, 1, 4536, 956, 264, 4747, 369, 279, 220, 1958, 4771, 6418, 7126, 627, 1, 1110, 9497, 3250, 956, 2586, 4228, 369, 757, 13, 358, 3077, 1193, 2884, 1403, 9698, 430, 527, 2216, 23160, 5594, 7756, 12631, 11, 323, 358, 990, 520, 1124, 13, 1628, 814, 527, 1120, 439, 29565, 13, 358, 12491, 55402, 682, 1521, 2574, 25, 23160, 11, 3021, 3446, 11, 23347, 11, 6453, 20156, 2001, 719, 814, 2351, 682, 1120, 2204, 24569, 10246, 48414, 7320, 261, 13280, 47213, 417, 6841, 220, 975, 13, 128001, 128000, 2675, 3207, 779, 1314, 11, 323, 433, 753, 1524, 11201, 430, 420, 4360, 5900, 7953, 16870, 978, 323, 30167, 482, 433, 753, 264, 5655, 41976, 4360, 304, 735, 8539, 75425, 82, 13, 1054, 76887, 863, 1456, 311, 62974, 1148, 3727, 4423, 14875, 477, 16526, 11, 323, 1148, 279, 1314, 1648, 311, 387, 1884, 2574, 527, 13, 9372, 520, 279, 1648, 1274, 3137, 922, 73529, 22546, 6147, 74, 2192, 477, 17939, 51, 60237, 477, 18024, 72, 482, 814, 3207, 4376, 16237, 11, 323, 779, 1690, 1274, 617, 1071, 814, 3207, 1054, 1962, 14875, 3403, 9520, 1054, 20670, 3207, 2288, 4251, 9520, 1054, 5902, 13305, 13434, 1431, 387, 304, 735, 8539, 9520, 5099, 13, 763, 60237, 753, 1162, 11, 1521, 6170, 527, 1524, 810, 15538, 1606, 568, 706, 21650, 11224, 430, 2533, 568, 574, 9408, 304, 12126, 369, 1455, 315, 813, 2324, 11, 568, 36611, 439, 16526, 4619, 315, 16526, 24145, 13, 4815, 2181, 753, 779, 15234, 311, 757, 430, 1274, 690, 387, 7359, 315, 14875, 3772, 320, 40, 4344, 7556, 735, 8539, 14441, 67, 2453, 300, 11, 356, 8539, 11547, 67, 2453, 300, 11, 622, 8539, 32801, 67, 2453, 300, 11, 18420, 88826, 11, 5099, 8, 323, 2103, 387, 779, 98254, 25185, 13, 2684, 374, 912, 1054, 1315, 863, 1648, 311, 387, 14875, 11, 323, 7359, 4560, 311, 62974, 430, 19775, 374, 5737, 1139, 28856, 323, 25185, 54168, 922, 14875, 1274, 320, 36046, 279, 1054, 2590, 23413, 863, 323, 97340, 54168, 13, 1102, 41040, 288, 757, 1022, 430, 2536, 12, 68540, 7359, 690, 40252, 553, 735, 8539, 90861, 323, 4322, 1124, 439, 422, 814, 3207, 64881, 311, 387, 6476, 449, 11, 719, 1193, 439, 1317, 439, 814, 3207, 1054, 1820, 1314, 955, 315, 14875, 11453, 578, 9568, 459, 14875, 1732, 18808, 430, 29561, 482, 5423, 422, 814, 3207, 9709, 477, 1051, 9408, 4994, 315, 12126, 482, 1243, 433, 753, 1093, 1884, 7359, 649, 1431, 40252, 553, 1124, 14926, 11, 323, 779, 4619, 814, 1120, 1456, 311, 2571, 1124, 3201, 323, 82577, 1124, 1054, 1962, 14875, 3403, 11453, 4815, 19701, 369, 279, 57943, 11, 719, 420, 374, 17432, 430, 358, 1518, 1938, 304, 323, 1938, 704, 4315, 7359, 11, 779, 358, 1047, 311, 636, 433, 1022, 856, 15489, 382, 17379, 25, 1541, 1431, 1524, 636, 757, 3940, 389, 1268, 25185, 279, 735, 8539, 4029, 374, 311, 4376, 38046, 4376, 16222, 46295, 90861, 14, 70865, 35795, 1093, 21296, 10320, 359, 1083, 11, 33126, 12336, 11, 816, 9186, 14603, 6043, 11, 5099, 13, 128001, 128000, 39314, 527, 682, 3284, 4339, 11, 12197, 323, 459, 69872, 1766, 994, 584, 653, 2445, 2453, 38759, 279, 12197, 816, 43, 2279, 627, 1687, 1766, 220, 24, 4339, 555, 653, 2445, 2453, 9894, 279, 12197, 816, 43, 2279, 627, 59907, 527, 279, 4339, 1903, 555, 653, 2445, 2453, 9894, 1521, 12197, 816, 43, 2279, 320, 2818, 32401, 570, 5751, 653, 2445, 2453, 901, 3492, 44830, 574, 3025, 311, 653, 2445, 2453, 901, 1521, 28730, 505, 12197, 816, 43, 2279, 311, 7068, 220, 24, 4339, 4999, 2746, 499, 527, 3596, 20910, 11, 330, 4438, 649, 358, 1505, 4339, 449, 1521, 12197, 816, 43, 2279, 304, 1124, 7673, 1243, 264, 3492, 653, 2445, 2453, 901, 5507, 374, 1120, 1148, 499, 1205, 13, 5751, 3492, 44830, 653, 2445, 2453, 39863, 12197, 311, 1304, 4339, 612, 27024, 499, 279, 33086, 315, 1694, 16075, 389, 264, 3492, 477, 2237, 304, 459, 6062, 2523, 3492, 1847, 627, 2181, 374, 1633, 31439, 0, 2052, 499, 617, 311, 656, 374, 3810, 279, 12197, 477, 21130, 816, 43, 2279, 1139, 279, 2778, 3830, 627, 1687, 690, 653, 2445, 2453, 901, 12197, 816, 43, 2279, 311, 1304, 4339, 323, 3041, 499, 264, 10839, 1160, 315, 13398, 3284, 4339, 612, 459, 69872, 627, 6854, 459, 653, 2445, 2453, 78562, 653, 2445, 2453, 901, 12197, 1174, 364, 57070, 2279, 6, 2288, 5380, 11439, 311, 1057, 1023, 3492, 77387, 25214, 11, 379, 120040, 649, 387, 71578, 304, 1690, 5627, 13, 578, 2204, 5627, 264, 3492, 649, 387, 71578, 374, 1650, 330, 716, 52855, 1, 315, 279, 3492, 627, 4438, 374, 420, 11190, 30, 8489, 11, 433, 5039, 499, 279, 12197, 379, 120040, 71578, 304, 2204, 5627, 3011, 1648, 499, 690, 15641, 279, 743, 315, 12197, 810, 6847, 13, 1102, 690, 1520, 499, 279, 1828, 892, 816, 43, 2279, 4131, 709, 304, 264, 3492, 77387, 1847, 13, 128001 ]
[ -100, 89441, 11, 420, 1207, 374, 19261, 3221, 9572, 788, 5990, 13, 2009, 588, 263, 18366, 374, 1057, 29074, 13, 1283, 6944, 311, 4822, 1618, 11, 719, 568, 69944, 433, 311, 5678, 311, 35608, 813, 907, 13, 1442, 430, 3445, 2133, 311, 1514, 18403, 779, 387, 433, 2001, 358, 2834, 1431, 14867, 264, 7564, 889, 753, 16654, 12387, 15319, 369, 603, 422, 568, 753, 4560, 311, 1304, 3300, 311, 14201, 813, 2324, 11, 813, 8689, 2324, 13, 358, 7070, 656, 279, 1890, 3245, 382, 1283, 753, 539, 14733, 323, 4382, 13, 1283, 753, 44725, 13, 1102, 5097, 264, 1317, 892, 11, 5423, 2728, 279, 3361, 6671, 1405, 568, 753, 279, 1888, 1203, 323, 1101, 264, 2294, 14291, 323, 420, 374, 264, 1938, 323, 4325, 1405, 29074, 82, 527, 2073, 6283, 3340, 13, 1283, 16180, 420, 2128, 11, 568, 16180, 813, 32746, 323, 814, 1093, 1461, 1203, 13, 2030, 568, 3966, 311, 656, 1148, 753, 1314, 369, 1461, 311, 382, 2746, 568, 11141, 11, 779, 387, 433, 13, 358, 15803, 568, 690, 5387, 94121, 28627, 323, 2744, 10168, 420, 2035, 3361, 13, 1628, 584, 4805, 3351, 389, 311, 264, 502, 7564, 13, 42896, 1205, 311, 636, 927, 5694, 323, 420, 23035, 430, 23579, 2011, 1501, 32883, 311, 279, 2128, 889, 39056, 1461, 13, 1226, 690, 3136, 311, 387, 28627, 7359, 912, 5030, 889, 8640, 279, 5041, 369, 603, 13, 128001, -100, 11916, 35415, 27171, 4783, 198, 21383, 220, 1032, 198, 51, 69261, 505, 5250, 370, 1094, 68626, 753, 27872, 5234, 6150, 527, 51713, 304, 420, 59759, 627, 10407, 370, 1094, 40432, 27872, 5234, 6150, 43741, 11005, 374, 13758, 1203, 311, 279, 5348, 8425, 0, 16877, 1124, 369, 3814, 315, 4731, 4999, 5519, 1105, 1825, 520, 220, 21, 25, 966, 5298, 627, 48051, 3095, 520, 220, 22, 5298, 627, 56421, 527, 400, 20, 520, 279, 6134, 627, 48541, 1221, 26540, 15948, 198, 5358, 3166, 926, 16788, 423, 31404, 612, 88030, 5736, 12, 5186, 220, 1032, 11, 220, 679, 24, 520, 220, 2705, 25, 966, 9012, 482, 220, 2545, 25, 410, 9012, 320, 35982, 340, 20517, 128001, -100, 1163, 6073, 350, 27349, 374, 69593, 449, 1690, 2574, 25, 22855, 11, 11977, 11, 264, 97787, 2320, 561, 11, 264, 94728, 8270, 94571, 685, 323, 459, 41708, 3070, 2324, 449, 7555, 88354, 50400, 276, 9469, 27349, 13, 2030, 40500, 13073, 304, 6453, 11, 2967, 3785, 88826, 374, 539, 832, 315, 279, 2574, 1455, 15499, 5938, 449, 279, 220, 1313, 29888, 6825, 12360, 13, 1115, 4498, 11, 350, 27349, 9958, 14329, 14129, 10852, 657, 320, 258, 459, 18813, 439, 74746, 48689, 41913, 3560, 8, 304, 13585, 7320, 261, 627, 791, 4632, 11263, 279, 837, 3446, 315, 25944, 98930, 323, 20820, 4488, 323, 20851, 67905, 320, 51, 27349, 323, 4488, 432, 1386, 12812, 11, 15947, 8, 323, 872, 5133, 449, 25438, 3842, 3930, 40870, 13, 1442, 499, 3077, 3970, 279, 50805, 11, 477, 1051, 6223, 88, 311, 220, 2550, 21, 17222, 31186, 11, 499, 1440, 7041, 1405, 420, 19775, 374, 19946, 627, 1163, 6073, 350, 27349, 11, 3235, 449, 14129, 10852, 657, 11, 7690, 39386, 17472, 320, 25821, 4047, 8, 323, 279, 4632, 596, 16483, 20802, 311, 3137, 311, 19578, 520, 279, 9853, 12167, 3577, 1938, 369, 279, 4632, 13, 1628, 350, 27349, 1047, 912, 3575, 48466, 287, 430, 279, 5818, 574, 279, 1455, 5107, 8815, 315, 813, 7076, 627, 22336, 649, 956, 12700, 36540, 1359, 568, 1071, 13, 330, 791, 2653, 13280, 13, 358, 1541, 956, 1781, 814, 3358, 3596, 5387, 856, 2547, 13, 1226, 9687, 1633, 6288, 430, 499, 649, 12700, 264, 21004, 11, 719, 499, 1205, 311, 1518, 279, 1450, 4295, 279, 3185, 315, 279, 3663, 323, 279, 2010, 70896, 1303, 13, 1102, 574, 555, 3117, 11, 323, 358, 1541, 956, 2019, 420, 34504, 11, 279, 37554, 3245, 358, 3077, 3596, 2884, 10246, 51, 27349, 11, 889, 374, 1664, 12, 44876, 304, 279, 1917, 315, 10034, 11, 37959, 19071, 323, 15612, 11, 36131, 813, 7106, 9669, 304, 459, 11622, 502, 1648, 369, 13585, 7320, 261, 13, 330, 2181, 574, 264, 8657, 511, 1113, 323, 1633, 26175, 3245, 11, 719, 520, 279, 842, 315, 279, 1938, 358, 2846, 779, 1120, 304, 51517, 315, 1884, 23579, 11, 323, 1633, 1633, 12691, 311, 617, 1027, 2728, 1778, 459, 8056, 892, 323, 5357, 1555, 1063, 315, 279, 1455, 8056, 23579, 358, 3077, 3596, 2322, 449, 13, 1102, 574, 264, 40149, 10246, 51, 27349, 11, 449, 813, 9498, 77723, 323, 3167, 66, 839, 13272, 743, 1990, 7029, 25063, 28004, 11, 374, 279, 7106, 10728, 315, 264, 83162, 13, 2030, 813, 15718, 45116, 11, 14129, 10852, 657, 11, 374, 1511, 311, 1701, 813, 95471, 18912, 323, 14604, 15718, 18000, 927, 813, 7106, 8333, 627, 1, 38595, 374, 3604, 264, 2294, 34880, 1359, 350, 27349, 10675, 13, 330, 1687, 1047, 311, 387, 1093, 11, 364, 28551, 1695, 11, 14129, 11, 2753, 1695, 3238, 358, 574, 304, 51517, 315, 1120, 3794, 311, 990, 449, 510, 38595, 612, 4488, 432, 1386, 12812, 948, 2435, 2351, 779, 304, 2585, 315, 1148, 814, 656, 13, 14129, 596, 5845, 311, 4822, 304, 433, 374, 5128, 40037, 89234, 5655, 13, 4488, 11, 568, 596, 3604, 856, 2466, 10868, 1457, 13, 358, 3077, 1071, 433, 311, 1461, 11, 364, 40, 2846, 701, 2697, 10868, 1457, 3238, 702, 51, 27349, 596, 3752, 304, 279, 4632, 374, 279, 7419, 315, 21737, 323, 2967, 3785, 13, 1283, 374, 264, 49737, 32549, 11, 11660, 3148, 11, 719, 813, 2410, 374, 653, 52858, 13, 350, 27349, 596, 4488, 67905, 23291, 449, 3063, 7693, 323, 10508, 28004, 11, 60375, 1880, 944, 750, 18742, 654, 291, 627, 7189, 2751, 311, 15020, 704, 449, 4488, 264, 2763, 1359, 350, 27349, 1071, 13, 330, 791, 1648, 568, 23291, 11, 279, 1648, 568, 10187, 813, 23243, 11, 568, 1120, 11321, 1093, 264, 2216, 11660, 10065, 11, 323, 568, 11031, 1555, 2324, 430, 1648, 13, 1283, 4934, 1274, 311, 387, 16984, 315, 1461, 13, 763, 36540, 1131, 1070, 596, 264, 2763, 1694, 1071, 2085, 7556, 13, 1472, 2351, 304, 264, 11594, 19343, 11, 323, 499, 1120, 6865, 1099, 38040, 323, 1776, 4214, 323, 1776, 2690, 323, 27027, 2653, 13, 578, 1648, 430, 499, 1450, 4465, 374, 264, 2766, 315, 264, 33819, 2489, 10246, 2028, 4536, 956, 279, 1176, 892, 350, 27349, 596, 6476, 264, 1972, 2324, 1732, 389, 4632, 13, 1283, 6476, 264, 18069, 11, 8761, 45539, 10585, 304, 220, 1049, 21, 596, 362, 13002, 311, 67975, 4954, 4718, 33319, 11, 323, 4488, 67905, 15785, 279, 2132, 330, 31039, 1022, 264, 837, 1732, 1, 3446, 568, 596, 59335, 304, 627, 22336, 527, 5737, 4423, 13989, 11, 719, 13967, 814, 2351, 11028, 315, 279, 1732, 1359, 350, 27349, 1071, 13, 330, 791, 45525, 527, 1633, 1633, 1579, 13, 358, 617, 311, 3974, 449, 4488, 67905, 304, 279, 1917, 323, 16026, 358, 1550, 1063, 3392, 315, 12437, 369, 1461, 13, 358, 649, 956, 2231, 4395, 430, 4488, 1443, 55526, 374, 304, 220, 1954, 4520, 11, 433, 3250, 956, 990, 1093, 430, 13, 2030, 1070, 596, 24617, 304, 14392, 358, 2163, 433, 682, 704, 1070, 13, 358, 1440, 358, 6688, 682, 279, 8146, 358, 1436, 11000, 3041, 779, 430, 4423, 649, 6308, 264, 6945, 10246, 8142, 95471, 24195, 14129, 10852, 657, 38239, 311, 19762, 311, 23564, 810, 6129, 13073, 11, 350, 27349, 4536, 956, 779, 2771, 13, 5414, 18147, 536, 89, 315, 13073, 374, 13057, 11, 719, 1694, 30929, 264, 330, 94427, 12360, 1, 4536, 956, 264, 4747, 369, 279, 220, 1958, 4771, 6418, 7126, 627, 1, 1110, 9497, 3250, 956, 2586, 4228, 369, 757, 13, 358, 3077, 1193, 2884, 1403, 9698, 430, 527, 2216, 23160, 5594, 7756, 12631, 11, 323, 358, 990, 520, 1124, 13, 1628, 814, 527, 1120, 439, 29565, 13, 358, 12491, 55402, 682, 1521, 2574, 25, 23160, 11, 3021, 3446, 11, 23347, 11, 6453, 20156, 2001, 719, 814, 2351, 682, 1120, 2204, 24569, 10246, 48414, 7320, 261, 13280, 47213, 417, 6841, 220, 975, 13, 128001, -100, 2675, 3207, 779, 1314, 11, 323, 433, 753, 1524, 11201, 430, 420, 4360, 5900, 7953, 16870, 978, 323, 30167, 482, 433, 753, 264, 5655, 41976, 4360, 304, 735, 8539, 75425, 82, 13, 1054, 76887, 863, 1456, 311, 62974, 1148, 3727, 4423, 14875, 477, 16526, 11, 323, 1148, 279, 1314, 1648, 311, 387, 1884, 2574, 527, 13, 9372, 520, 279, 1648, 1274, 3137, 922, 73529, 22546, 6147, 74, 2192, 477, 17939, 51, 60237, 477, 18024, 72, 482, 814, 3207, 4376, 16237, 11, 323, 779, 1690, 1274, 617, 1071, 814, 3207, 1054, 1962, 14875, 3403, 9520, 1054, 20670, 3207, 2288, 4251, 9520, 1054, 5902, 13305, 13434, 1431, 387, 304, 735, 8539, 9520, 5099, 13, 763, 60237, 753, 1162, 11, 1521, 6170, 527, 1524, 810, 15538, 1606, 568, 706, 21650, 11224, 430, 2533, 568, 574, 9408, 304, 12126, 369, 1455, 315, 813, 2324, 11, 568, 36611, 439, 16526, 4619, 315, 16526, 24145, 13, 4815, 2181, 753, 779, 15234, 311, 757, 430, 1274, 690, 387, 7359, 315, 14875, 3772, 320, 40, 4344, 7556, 735, 8539, 14441, 67, 2453, 300, 11, 356, 8539, 11547, 67, 2453, 300, 11, 622, 8539, 32801, 67, 2453, 300, 11, 18420, 88826, 11, 5099, 8, 323, 2103, 387, 779, 98254, 25185, 13, 2684, 374, 912, 1054, 1315, 863, 1648, 311, 387, 14875, 11, 323, 7359, 4560, 311, 62974, 430, 19775, 374, 5737, 1139, 28856, 323, 25185, 54168, 922, 14875, 1274, 320, 36046, 279, 1054, 2590, 23413, 863, 323, 97340, 54168, 13, 1102, 41040, 288, 757, 1022, 430, 2536, 12, 68540, 7359, 690, 40252, 553, 735, 8539, 90861, 323, 4322, 1124, 439, 422, 814, 3207, 64881, 311, 387, 6476, 449, 11, 719, 1193, 439, 1317, 439, 814, 3207, 1054, 1820, 1314, 955, 315, 14875, 11453, 578, 9568, 459, 14875, 1732, 18808, 430, 29561, 482, 5423, 422, 814, 3207, 9709, 477, 1051, 9408, 4994, 315, 12126, 482, 1243, 433, 753, 1093, 1884, 7359, 649, 1431, 40252, 553, 1124, 14926, 11, 323, 779, 4619, 814, 1120, 1456, 311, 2571, 1124, 3201, 323, 82577, 1124, 1054, 1962, 14875, 3403, 11453, 4815, 19701, 369, 279, 57943, 11, 719, 420, 374, 17432, 430, 358, 1518, 1938, 304, 323, 1938, 704, 4315, 7359, 11, 779, 358, 1047, 311, 636, 433, 1022, 856, 15489, 382, 17379, 25, 1541, 1431, 1524, 636, 757, 3940, 389, 1268, 25185, 279, 735, 8539, 4029, 374, 311, 4376, 38046, 4376, 16222, 46295, 90861, 14, 70865, 35795, 1093, 21296, 10320, 359, 1083, 11, 33126, 12336, 11, 816, 9186, 14603, 6043, 11, 5099, 13, 128001, -100, 39314, 527, 682, 3284, 4339, 11, 12197, 323, 459, 69872, 1766, 994, 584, 653, 2445, 2453, 38759, 279, 12197, 816, 43, 2279, 627, 1687, 1766, 220, 24, 4339, 555, 653, 2445, 2453, 9894, 279, 12197, 816, 43, 2279, 627, 59907, 527, 279, 4339, 1903, 555, 653, 2445, 2453, 9894, 1521, 12197, 816, 43, 2279, 320, 2818, 32401, 570, 5751, 653, 2445, 2453, 901, 3492, 44830, 574, 3025, 311, 653, 2445, 2453, 901, 1521, 28730, 505, 12197, 816, 43, 2279, 311, 7068, 220, 24, 4339, 4999, 2746, 499, 527, 3596, 20910, 11, 330, 4438, 649, 358, 1505, 4339, 449, 1521, 12197, 816, 43, 2279, 304, 1124, 7673, 1243, 264, 3492, 653, 2445, 2453, 901, 5507, 374, 1120, 1148, 499, 1205, 13, 5751, 3492, 44830, 653, 2445, 2453, 39863, 12197, 311, 1304, 4339, 612, 27024, 499, 279, 33086, 315, 1694, 16075, 389, 264, 3492, 477, 2237, 304, 459, 6062, 2523, 3492, 1847, 627, 2181, 374, 1633, 31439, 0, 2052, 499, 617, 311, 656, 374, 3810, 279, 12197, 477, 21130, 816, 43, 2279, 1139, 279, 2778, 3830, 627, 1687, 690, 653, 2445, 2453, 901, 12197, 816, 43, 2279, 311, 1304, 4339, 323, 3041, 499, 264, 10839, 1160, 315, 13398, 3284, 4339, 612, 459, 69872, 627, 6854, 459, 653, 2445, 2453, 78562, 653, 2445, 2453, 901, 12197, 1174, 364, 57070, 2279, 6, 2288, 5380, 11439, 311, 1057, 1023, 3492, 77387, 25214, 11, 379, 120040, 649, 387, 71578, 304, 1690, 5627, 13, 578, 2204, 5627, 264, 3492, 649, 387, 71578, 374, 1650, 330, 716, 52855, 1, 315, 279, 3492, 627, 4438, 374, 420, 11190, 30, 8489, 11, 433, 5039, 499, 279, 12197, 379, 120040, 71578, 304, 2204, 5627, 3011, 1648, 499, 690, 15641, 279, 743, 315, 12197, 810, 6847, 13, 1102, 690, 1520, 499, 279, 1828, 892, 816, 43, 2279, 4131, 709, 304, 264, 3492, 77387, 1847, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304 ]
[ 128000, 85901, 389, 1054, 46, 2214, 1952, 578, 423, 625, 488, 5046, 2418, 89874, 16, 8, 61885, 701, 2926, 11555, 323, 5255, 16024, 922, 279, 990, 627, 791, 3229, 374, 4560, 311, 7664, 893, 753, 2035, 304, 279, 15861, 449, 279, 13945, 1766, 25442, 7422, 315, 279, 55383, 11639, 13, 763, 279, 1176, 14646, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 7437, 709, 279, 12914, 315, 1057, 9886, 11, 323, 43384, 596, 95170, 2035, 1990, 279, 4827, 20566, 323, 29913, 13, 5414, 2132, 14646, 3649, 4359, 753, 990, 4972, 311, 279, 9886, 315, 893, 13, 1102, 1101, 6835, 279, 6742, 279, 1176, 27513, 2785, 439, 311, 279, 2944, 4359, 3549, 893, 13, 8442, 893, 649, 15763, 4359, 753, 9886, 11, 323, 29488, 4359, 13, 578, 4948, 14646, 16964, 1057, 11358, 290, 927, 279, 4827, 2015, 12, 1023, 10099, 13, 1102, 3649, 1057, 5845, 311, 96630, 13520, 1139, 264, 4827, 1376, 320, 64275, 1093, 57536, 477, 11012, 8, 477, 311, 1005, 1057, 17108, 323, 19971, 311, 387, 12646, 1540, 304, 264, 5190, 1376, 320, 1820, 30467, 570, 578, 11999, 1555, 279, 26084, 14646, 636, 311, 279, 4851, 315, 279, 3229, 753, 7537, 304, 420, 6710, 25, 430, 311, 6138, 13520, 505, 20207, 2191, 323, 279, 81678, 315, 4359, 374, 53007, 311, 1694, 264, 6136, 477, 459, 10065, 13, 10771, 311, 14603, 438, 8083, 279, 4495, 1614, 315, 893, 374, 311, 387, 20207, 13, 1226, 2011, 79498, 1057, 9420, 398, 32097, 430, 11161, 603, 1523, 311, 4827, 5415, 11, 323, 40060, 1082, 1884, 2574, 315, 568, 525, 430, 6958, 603, 704, 315, 279, 1917, 13, 578, 12474, 27025, 311, 4359, 374, 1701, 1057, 4059, 369, 813, 27025, 627, 17, 8, 61885, 304, 26855, 520, 3325, 832, 13189, 315, 279, 990, 430, 1455, 12034, 499, 198, 4054, 13189, 315, 420, 990, 430, 12034, 757, 374, 1268, 14603, 438, 8083, 584, 4798, 3871, 10082, 323, 20207, 2191, 13, 1102, 753, 2867, 311, 757, 430, 1690, 315, 813, 6848, 9087, 1977, 279, 22100, 584, 1518, 304, 279, 1828, 11639, 11, 279, 92931, 13, 1283, 584, 4798, 264, 27545, 13310, 315, 409, 2191, 304, 813, 990, 1418, 2103, 95685, 4954, 279, 6742, 449, 279, 810, 18330, 22100, 315, 279, 55383, 627, 33, 13, 38527, 3059, 279, 990, 198, 16, 8, 61885, 279, 41143, 9805, 315, 279, 4261, 304, 902, 279, 990, 574, 5439, 512, 791, 55383, 574, 279, 10205, 315, 20207, 2191, 323, 279, 12646, 4914, 315, 32227, 20207, 90887, 13, 1102, 574, 279, 11639, 430, 5535, 3026, 311, 3488, 279, 46360, 11, 323, 44937, 14603, 438, 8083, 753, 20207, 41328, 627, 47, 4042, 423, 6985, 14603, 438, 8083, 374, 3463, 315, 439, 264, 1401, 7216, 304, 279, 15155, 55383, 512, 2118, 47, 4042, 753, 507, 2214, 17644, 311, 1323, 391, 279, 3823, 18921, 311, 4219, 682, 6666, 389, 3823, 8824, 323, 3823, 13356, 13, 18925, 2299, 304, 264, 2035, 3221, 48606, 11, 420, 11495, 55383, 55475, 15972, 279, 8056, 8824, 315, 3823, 26501, 13, 330, 47, 4042, 5678, 1047, 264, 11191, 17108, 323, 20041, 4395, 1070, 574, 311, 387, 20041, 304, 279, 12374, 30676, 315, 279, 55383, 26, 279, 507, 2214, 304, 961, 374, 8967, 311, 387, 264, 864, 1594, 311, 264, 11191, 1391, 408, 2411, 315, 682, 279, 20207, 33997, 315, 22706, 11, 264, 1391, 408, 2411, 430, 2646, 9922, 1606, 315, 393, 4042, 596, 4216, 4648, 1210, 320, 1277, 1129, 898, 22985, 84, 12871, 54896, 65, 36268, 79992, 669, 344, 79992, 66, 344, 11397, 79992, 669, 344, 23106, 62, 16, 4420, 4042, 2628, 340, 17, 8, 61885, 26793, 1139, 279, 990, 649, 387, 18661, 505, 279, 3229, 753, 48345, 5380, 59561, 438, 8083, 11846, 279, 33436, 315, 20207, 10891, 437, 1289, 574, 810, 35482, 1109, 311, 321, 315, 4279, 893, 13, 1115, 4623, 430, 279, 55475, 374, 315, 5190, 12939, 304, 8396, 374, 539, 832, 430, 393, 4042, 36592, 5678, 13, 69161, 5678, 11846, 304, 279, 13348, 1429, 315, 279, 55475, 311, 1778, 264, 8547, 430, 568, 3463, 430, 814, 1288, 6037, 927, 8396, 13, 27140, 69161, 3582, 11, 393, 4042, 574, 1101, 9539, 28160, 555, 279, 11639, 315, 279, 55383, 13, 393, 4042, 99892, 813, 9052, 10082, 449, 19675, 315, 279, 29924, 1917, 11, 323, 1023, 279, 9268, 13, 10771, 311, 279, 1561, 4435, 68198, 320, 679, 20, 705, 1054, 47, 4042, 6244, 279, 1176, 9052, 18640, 311, 1005, 279, 10334, 315, 735, 12806, 6181, 304, 1862, 315, 9052, 3463, 49216, 59561, 438, 8083, 574, 264, 98636, 8469, 315, 813, 892, 13, 5414, 6848, 1053, 617, 1027, 2753, 18336, 2391, 279, 92931, 11, 323, 9093, 6197, 311, 97712, 449, 279, 16879, 9441, 13, 1283, 574, 29991, 555, 279, 9441, 311, 1421, 519, 3892, 315, 813, 279, 9459, 13, 14603, 438, 8083, 753, 5915, 5828, 1431, 311, 8815, 279, 11447, 315, 279, 8993, 719, 4856, 84611, 311, 11857, 4623, 753, 315, 75456, 13, 5414, 7537, 574, 311, 1456, 323, 12391, 430, 20207, 90887, 3287, 1431, 617, 311, 387, 520, 21448, 449, 32186, 12, 304, 2144, 814, 1436, 18885, 832, 753, 10082, 13, 5414, 6848, 1455, 4461, 28160, 69122, 315, 3010, 2781, 300, 11, 889, 3287, 1431, 617, 311, 3568, 449, 264, 8993, 15123, 30280, 389, 14770, 17108, 627, 18, 8, 38527, 3059, 1268, 420, 990, 41424, 264, 4040, 7057, 323, 5255, 67473, 292, 29683, 505, 1202, 4261, 198, 4054, 315, 279, 3682, 22100, 315, 279, 55383, 574, 279, 12646, 4914, 315, 22591, 2191, 13, 362, 6156, 29924, 7057, 574, 832, 315, 8335, 13, 763, 14603, 438, 8083, 753, 990, 11, 499, 649, 1518, 279, 4623, 315, 8335, 304, 279, 15632, 315, 813, 78162, 13, 3861, 13434, 1431, 387, 2288, 10968, 389, 9420, 398, 2574, 11, 439, 433, 690, 96630, 499, 1139, 264, 6136, 477, 459, 10065, 13, 50487, 11, 832, 13434, 1431, 387, 2288, 10968, 389, 279, 18330, 2574, 439, 499, 4805, 387, 12153, 311, 29243, 311, 701, 12637, 893, 13, 9086, 1690, 1023, 9052, 61787, 315, 279, 1938, 11, 14603, 438, 8083, 43603, 29924, 323, 37019, 6677, 13, 1283, 11846, 584, 1436, 4048, 279, 8206, 505, 1690, 70634, 323, 13042, 33472, 627, 3947, 374, 1101, 264, 5655, 5647, 315, 20207, 2191, 304, 279, 6710, 13, 763, 2015, 311, 11322, 279, 8335, 568, 21881, 315, 11, 499, 617, 311, 46464, 701, 17108, 13, 2468, 279, 4851, 315, 20207, 2191, 304, 279, 1054, 7769, 863, 374, 279, 8335, 832, 2011, 11322, 1990, 1949, 690, 323, 16033, 59456, 13, 1666, 393, 4042, 2795, 304, 813, 9071, 26, 1054, 59907, 682, 11, 584, 1288, 539, 1304, 430, 11542, 315, 5873, 4359, 6688, 603, 1139, 2555, 28856, 11, 369, 433, 574, 10825, 311, 387, 1057, 9610, 2029, 320, 46, 2214, 1952, 279, 423, 625, 488, 5046, 2418, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 8, 1115, 5647, 315, 8335, 574, 9539, 505, 264, 17693, 20041, 9052, 439, 1664, 13, 1054, 2170, 1949, 11, 323, 539, 1701, 701, 31220, 369, 264, 5405, 441, 315, 39270, 2136, 11, 719, 439, 279, 42832, 315, 4359, 2029, 320, 16, 11291, 220, 17, 25, 845, 11, 735, 78991, 1561, 40214, 340, 19, 8, 83017, 279, 41961, 315, 420, 990, 369, 3432, 753, 30994, 198, 40, 2733, 420, 6710, 374, 9193, 9959, 304, 3432, 753, 4325, 439, 1690, 1274, 617, 23838, 279, 52805, 315, 32442, 75456, 323, 20207, 81869, 13, 1102, 753, 2867, 1690, 315, 1057, 48727, 1051, 1101, 28160, 555, 1521, 35825, 6848, 315, 8335, 13, 578, 83936, 430, 23838, 279, 52805, 315, 32442, 75456, 11, 23838, 52805, 315, 3823, 38929, 439, 1664, 13, 38649, 328, 4091, 11, 574, 264, 2294, 17108, 11, 719, 1606, 315, 1077, 20547, 91402, 315, 430, 902, 374, 32442, 11, 1364, 30026, 430, 1063, 1274, 1051, 315, 2731, 1054, 13787, 863, 323, 28390, 315, 17425, 1113, 279, 9606, 13, 320, 3022, 3770, 340, 644, 264, 220, 5926, 16, 4652, 304, 279, 36127, 7935, 10506, 11, 328, 4091, 6267, 11, 330, 791, 1455, 34771, 3575, 3432, 374, 1268, 311, 4017, 323, 66087, 279, 927, 2269, 62587, 315, 279, 34325, 323, 22655, 64903, 1210, 10506, 388, 315, 832, 315, 1077, 220, 7529, 24, 9908, 33398, 1077, 26470, 439, 330, 7816, 2911, 505, 279, 5052, 11, 2753, 505, 279, 94567, 1210, 14077, 11, 279, 3488, 315, 889, 28727, 17479, 374, 3062, 11, 323, 433, 574, 459, 4360, 430, 328, 4091, 1193, 28135, 20669, 13, 330, 791, 2073, 34229, 2915, 11307, 10329, 17003, 1288, 13118, 11, 539, 1193, 387, 64770, 719, 32098, 505, 17425, 1113, 872, 3169, 1359, 1364, 6267, 627, 20480, 1129, 2185, 22220, 4469, 43277, 2726, 2754, 4091, 2304, 2628, 11, 57618, 505, 459, 4652, 304, 47317, 22168, 6186, 220, 508, 339, 11, 220, 2550, 17, 14002, 340, 31140, 11, 2768, 1057, 23492, 12876, 311, 387, 32227, 18330, 374, 1101, 282, 6478, 449, 60392, 13, 15483, 1274, 11, 527, 810, 4461, 311, 387, 6197, 23112, 352, 555, 4612, 82, 315, 17743, 13, 11641, 12201, 11, 279, 6178, 2596, 4612, 323, 3885, 617, 682, 37693, 291, 5304, 1057, 18330, 7138, 311, 2585, 1274, 13, 17586, 1701, 1057, 20207, 8824, 11, 584, 6847, 4498, 37693, 311, 1884, 889, 1053, 665, 53605, 603, 449, 1057, 18330, 7138, 13, 578, 4623, 315, 8335, 374, 2103, 9193, 3062, 323, 9959, 304, 3432, 753, 1917, 13, 763, 279, 4339, 315, 11355, 34644, 889, 574, 9539, 28160, 555, 393, 4042, 11, 19524, 14924, 449, 14265, 2136, 1524, 279, 14209, 315, 264, 10087, 26, 1606, 11, 422, 1070, 387, 832, 11, 568, 2011, 810, 29251, 279, 68089, 315, 2944, 11, 1109, 430, 315, 18507, 20557, 291, 8850, 2029, 320, 42493, 34644, 11, 27757, 311, 11291, 30474, 11, 220, 11256, 22, 482, 3788, 1129, 2185, 749, 546, 292, 4896, 2726, 48981, 10991, 1874, 9976, 1824, 3184, 14, 3841, 544, 1293, 82, 48712, 22941, 91305, 30921, 340, 34, 13, 35698, 389, 1268, 279, 6492, 11754, 701, 21063, 315, 279, 990, 198, 16, 8, 66379, 1268, 279, 19662, 6677, 499, 18661, 1555, 701, 6492, 706, 16369, 477, 29852, 701, 11555, 323, 5255, 16024, 198, 2181, 753, 7185, 430, 856, 2926, 24654, 323, 16024, 922, 420, 990, 11, 1051, 5128, 3345, 311, 1148, 1023, 61787, 323, 83936, 617, 11075, 813, 990, 311, 4097, 13, 18242, 922, 813, 28970, 1306, 4477, 420, 6710, 11, 9087, 757, 15763, 279, 4325, 304, 902, 584, 3974, 1405, 4423, 374, 539, 52942, 320, 258, 5270, 8, 369, 12365, 872, 4059, 13, 1666, 42608, 21324, 11, 1054, 40, 2559, 389, 279, 28004, 315, 46309, 11453, 50487, 1070, 374, 264, 2867, 10383, 315, 279, 2294, 81869, 69122, 11, 11355, 34644, 11, 3842, 83022, 11, 11355, 393, 8511, 323, 60061, 1611, 350, 511, 593, 8078, 430, 1051, 682, 9539, 28160, 555, 393, 4042, 1611, 14603, 438, 8083, 753, 52805, 315, 20207, 323, 18330, 8335, 13, 50487, 393, 4042, 574, 28160, 555, 46309, 13, 5659, 79001, 311, 42048, 323, 505, 37488, 311, 69161, 11, 393, 4042, 574, 264, 19407, 1373, 20207, 323, 16365, 279, 12939, 315, 8830, 3823, 3925, 311, 11322, 7191, 2944, 323, 10082, 627, 20171, 19723, 8641, 505, 25950, 52, 482, 1795, 1129, 898, 22985, 84, 12871, 54896, 65, 36268, 79992, 669, 344, 79992, 66, 344, 11397, 79992, 669, 344, 23106, 62, 16, 4420, 4042, 2628, 22241, 505, 2363, 12283, 16964, 393, 4042, 753, 1401, 3925, 304, 279, 312, 46302, 13, 578, 3566, 2199, 3250, 1431, 1304, 433, 2867, 902, 3229, 3727, 420, 28519, 627, 20171, 1561, 4435, 68198, 482, 13659, 389, 393, 4042, 423, 6985, 14603, 438, 8083, 35434, 813, 1005, 315, 5066, 9052, 8336, 311, 9407, 813, 9052, 46969, 1139, 2555, 502, 627, 46, 2214, 389, 279, 423, 625, 488, 315, 2418, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 482, 3489, 9437, 9959, 961, 315, 477, 367, 198, 16, 11291, 505, 735, 78991, 1561, 40214, 482, 3489, 9437, 832, 33487, 311, 1501, 14603, 438, 8083, 753, 9052, 20282, 304, 813, 19675, 627, 2232, 9437, 4652, 505, 47317, 22168, 8621, 389, 3776, 4469, 43277, 2726, 11, 912, 3229, 836, 8621, 482, 1115, 2565, 12929, 574, 311, 1501, 279, 41961, 315, 393, 4042, 753, 29924, 6848, 315, 8335, 627, 2232, 9437, 11355, 34644, 753, 6661, 482, 37380, 430, 11355, 34644, 6612, 20207, 2191, 574, 2731, 1109, 18507, 10082, 13, 128001 ]
[ -100, 85901, 389, 1054, 46, 2214, 1952, 578, 423, 625, 488, 5046, 2418, 89874, 16, 8, 61885, 701, 2926, 11555, 323, 5255, 16024, 922, 279, 990, 627, 791, 3229, 374, 4560, 311, 7664, 893, 753, 2035, 304, 279, 15861, 449, 279, 13945, 1766, 25442, 7422, 315, 279, 55383, 11639, 13, 763, 279, 1176, 14646, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 7437, 709, 279, 12914, 315, 1057, 9886, 11, 323, 43384, 596, 95170, 2035, 1990, 279, 4827, 20566, 323, 29913, 13, 5414, 2132, 14646, 3649, 4359, 753, 990, 4972, 311, 279, 9886, 315, 893, 13, 1102, 1101, 6835, 279, 6742, 279, 1176, 27513, 2785, 439, 311, 279, 2944, 4359, 3549, 893, 13, 8442, 893, 649, 15763, 4359, 753, 9886, 11, 323, 29488, 4359, 13, 578, 4948, 14646, 16964, 1057, 11358, 290, 927, 279, 4827, 2015, 12, 1023, 10099, 13, 1102, 3649, 1057, 5845, 311, 96630, 13520, 1139, 264, 4827, 1376, 320, 64275, 1093, 57536, 477, 11012, 8, 477, 311, 1005, 1057, 17108, 323, 19971, 311, 387, 12646, 1540, 304, 264, 5190, 1376, 320, 1820, 30467, 570, 578, 11999, 1555, 279, 26084, 14646, 636, 311, 279, 4851, 315, 279, 3229, 753, 7537, 304, 420, 6710, 25, 430, 311, 6138, 13520, 505, 20207, 2191, 323, 279, 81678, 315, 4359, 374, 53007, 311, 1694, 264, 6136, 477, 459, 10065, 13, 10771, 311, 14603, 438, 8083, 279, 4495, 1614, 315, 893, 374, 311, 387, 20207, 13, 1226, 2011, 79498, 1057, 9420, 398, 32097, 430, 11161, 603, 1523, 311, 4827, 5415, 11, 323, 40060, 1082, 1884, 2574, 315, 568, 525, 430, 6958, 603, 704, 315, 279, 1917, 13, 578, 12474, 27025, 311, 4359, 374, 1701, 1057, 4059, 369, 813, 27025, 627, 17, 8, 61885, 304, 26855, 520, 3325, 832, 13189, 315, 279, 990, 430, 1455, 12034, 499, 198, 4054, 13189, 315, 420, 990, 430, 12034, 757, 374, 1268, 14603, 438, 8083, 584, 4798, 3871, 10082, 323, 20207, 2191, 13, 1102, 753, 2867, 311, 757, 430, 1690, 315, 813, 6848, 9087, 1977, 279, 22100, 584, 1518, 304, 279, 1828, 11639, 11, 279, 92931, 13, 1283, 584, 4798, 264, 27545, 13310, 315, 409, 2191, 304, 813, 990, 1418, 2103, 95685, 4954, 279, 6742, 449, 279, 810, 18330, 22100, 315, 279, 55383, 627, 33, 13, 38527, 3059, 279, 990, 198, 16, 8, 61885, 279, 41143, 9805, 315, 279, 4261, 304, 902, 279, 990, 574, 5439, 512, 791, 55383, 574, 279, 10205, 315, 20207, 2191, 323, 279, 12646, 4914, 315, 32227, 20207, 90887, 13, 1102, 574, 279, 11639, 430, 5535, 3026, 311, 3488, 279, 46360, 11, 323, 44937, 14603, 438, 8083, 753, 20207, 41328, 627, 47, 4042, 423, 6985, 14603, 438, 8083, 374, 3463, 315, 439, 264, 1401, 7216, 304, 279, 15155, 55383, 512, 2118, 47, 4042, 753, 507, 2214, 17644, 311, 1323, 391, 279, 3823, 18921, 311, 4219, 682, 6666, 389, 3823, 8824, 323, 3823, 13356, 13, 18925, 2299, 304, 264, 2035, 3221, 48606, 11, 420, 11495, 55383, 55475, 15972, 279, 8056, 8824, 315, 3823, 26501, 13, 330, 47, 4042, 5678, 1047, 264, 11191, 17108, 323, 20041, 4395, 1070, 574, 311, 387, 20041, 304, 279, 12374, 30676, 315, 279, 55383, 26, 279, 507, 2214, 304, 961, 374, 8967, 311, 387, 264, 864, 1594, 311, 264, 11191, 1391, 408, 2411, 315, 682, 279, 20207, 33997, 315, 22706, 11, 264, 1391, 408, 2411, 430, 2646, 9922, 1606, 315, 393, 4042, 596, 4216, 4648, 1210, 320, 1277, 1129, 898, 22985, 84, 12871, 54896, 65, 36268, 79992, 669, 344, 79992, 66, 344, 11397, 79992, 669, 344, 23106, 62, 16, 4420, 4042, 2628, 340, 17, 8, 61885, 26793, 1139, 279, 990, 649, 387, 18661, 505, 279, 3229, 753, 48345, 5380, 59561, 438, 8083, 11846, 279, 33436, 315, 20207, 10891, 437, 1289, 574, 810, 35482, 1109, 311, 321, 315, 4279, 893, 13, 1115, 4623, 430, 279, 55475, 374, 315, 5190, 12939, 304, 8396, 374, 539, 832, 430, 393, 4042, 36592, 5678, 13, 69161, 5678, 11846, 304, 279, 13348, 1429, 315, 279, 55475, 311, 1778, 264, 8547, 430, 568, 3463, 430, 814, 1288, 6037, 927, 8396, 13, 27140, 69161, 3582, 11, 393, 4042, 574, 1101, 9539, 28160, 555, 279, 11639, 315, 279, 55383, 13, 393, 4042, 99892, 813, 9052, 10082, 449, 19675, 315, 279, 29924, 1917, 11, 323, 1023, 279, 9268, 13, 10771, 311, 279, 1561, 4435, 68198, 320, 679, 20, 705, 1054, 47, 4042, 6244, 279, 1176, 9052, 18640, 311, 1005, 279, 10334, 315, 735, 12806, 6181, 304, 1862, 315, 9052, 3463, 49216, 59561, 438, 8083, 574, 264, 98636, 8469, 315, 813, 892, 13, 5414, 6848, 1053, 617, 1027, 2753, 18336, 2391, 279, 92931, 11, 323, 9093, 6197, 311, 97712, 449, 279, 16879, 9441, 13, 1283, 574, 29991, 555, 279, 9441, 311, 1421, 519, 3892, 315, 813, 279, 9459, 13, 14603, 438, 8083, 753, 5915, 5828, 1431, 311, 8815, 279, 11447, 315, 279, 8993, 719, 4856, 84611, 311, 11857, 4623, 753, 315, 75456, 13, 5414, 7537, 574, 311, 1456, 323, 12391, 430, 20207, 90887, 3287, 1431, 617, 311, 387, 520, 21448, 449, 32186, 12, 304, 2144, 814, 1436, 18885, 832, 753, 10082, 13, 5414, 6848, 1455, 4461, 28160, 69122, 315, 3010, 2781, 300, 11, 889, 3287, 1431, 617, 311, 3568, 449, 264, 8993, 15123, 30280, 389, 14770, 17108, 627, 18, 8, 38527, 3059, 1268, 420, 990, 41424, 264, 4040, 7057, 323, 5255, 67473, 292, 29683, 505, 1202, 4261, 198, 4054, 315, 279, 3682, 22100, 315, 279, 55383, 574, 279, 12646, 4914, 315, 22591, 2191, 13, 362, 6156, 29924, 7057, 574, 832, 315, 8335, 13, 763, 14603, 438, 8083, 753, 990, 11, 499, 649, 1518, 279, 4623, 315, 8335, 304, 279, 15632, 315, 813, 78162, 13, 3861, 13434, 1431, 387, 2288, 10968, 389, 9420, 398, 2574, 11, 439, 433, 690, 96630, 499, 1139, 264, 6136, 477, 459, 10065, 13, 50487, 11, 832, 13434, 1431, 387, 2288, 10968, 389, 279, 18330, 2574, 439, 499, 4805, 387, 12153, 311, 29243, 311, 701, 12637, 893, 13, 9086, 1690, 1023, 9052, 61787, 315, 279, 1938, 11, 14603, 438, 8083, 43603, 29924, 323, 37019, 6677, 13, 1283, 11846, 584, 1436, 4048, 279, 8206, 505, 1690, 70634, 323, 13042, 33472, 627, 3947, 374, 1101, 264, 5655, 5647, 315, 20207, 2191, 304, 279, 6710, 13, 763, 2015, 311, 11322, 279, 8335, 568, 21881, 315, 11, 499, 617, 311, 46464, 701, 17108, 13, 2468, 279, 4851, 315, 20207, 2191, 304, 279, 1054, 7769, 863, 374, 279, 8335, 832, 2011, 11322, 1990, 1949, 690, 323, 16033, 59456, 13, 1666, 393, 4042, 2795, 304, 813, 9071, 26, 1054, 59907, 682, 11, 584, 1288, 539, 1304, 430, 11542, 315, 5873, 4359, 6688, 603, 1139, 2555, 28856, 11, 369, 433, 574, 10825, 311, 387, 1057, 9610, 2029, 320, 46, 2214, 1952, 279, 423, 625, 488, 5046, 2418, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 8, 1115, 5647, 315, 8335, 574, 9539, 505, 264, 17693, 20041, 9052, 439, 1664, 13, 1054, 2170, 1949, 11, 323, 539, 1701, 701, 31220, 369, 264, 5405, 441, 315, 39270, 2136, 11, 719, 439, 279, 42832, 315, 4359, 2029, 320, 16, 11291, 220, 17, 25, 845, 11, 735, 78991, 1561, 40214, 340, 19, 8, 83017, 279, 41961, 315, 420, 990, 369, 3432, 753, 30994, 198, 40, 2733, 420, 6710, 374, 9193, 9959, 304, 3432, 753, 4325, 439, 1690, 1274, 617, 23838, 279, 52805, 315, 32442, 75456, 323, 20207, 81869, 13, 1102, 753, 2867, 1690, 315, 1057, 48727, 1051, 1101, 28160, 555, 1521, 35825, 6848, 315, 8335, 13, 578, 83936, 430, 23838, 279, 52805, 315, 32442, 75456, 11, 23838, 52805, 315, 3823, 38929, 439, 1664, 13, 38649, 328, 4091, 11, 574, 264, 2294, 17108, 11, 719, 1606, 315, 1077, 20547, 91402, 315, 430, 902, 374, 32442, 11, 1364, 30026, 430, 1063, 1274, 1051, 315, 2731, 1054, 13787, 863, 323, 28390, 315, 17425, 1113, 279, 9606, 13, 320, 3022, 3770, 340, 644, 264, 220, 5926, 16, 4652, 304, 279, 36127, 7935, 10506, 11, 328, 4091, 6267, 11, 330, 791, 1455, 34771, 3575, 3432, 374, 1268, 311, 4017, 323, 66087, 279, 927, 2269, 62587, 315, 279, 34325, 323, 22655, 64903, 1210, 10506, 388, 315, 832, 315, 1077, 220, 7529, 24, 9908, 33398, 1077, 26470, 439, 330, 7816, 2911, 505, 279, 5052, 11, 2753, 505, 279, 94567, 1210, 14077, 11, 279, 3488, 315, 889, 28727, 17479, 374, 3062, 11, 323, 433, 574, 459, 4360, 430, 328, 4091, 1193, 28135, 20669, 13, 330, 791, 2073, 34229, 2915, 11307, 10329, 17003, 1288, 13118, 11, 539, 1193, 387, 64770, 719, 32098, 505, 17425, 1113, 872, 3169, 1359, 1364, 6267, 627, 20480, 1129, 2185, 22220, 4469, 43277, 2726, 2754, 4091, 2304, 2628, 11, 57618, 505, 459, 4652, 304, 47317, 22168, 6186, 220, 508, 339, 11, 220, 2550, 17, 14002, 340, 31140, 11, 2768, 1057, 23492, 12876, 311, 387, 32227, 18330, 374, 1101, 282, 6478, 449, 60392, 13, 15483, 1274, 11, 527, 810, 4461, 311, 387, 6197, 23112, 352, 555, 4612, 82, 315, 17743, 13, 11641, 12201, 11, 279, 6178, 2596, 4612, 323, 3885, 617, 682, 37693, 291, 5304, 1057, 18330, 7138, 311, 2585, 1274, 13, 17586, 1701, 1057, 20207, 8824, 11, 584, 6847, 4498, 37693, 311, 1884, 889, 1053, 665, 53605, 603, 449, 1057, 18330, 7138, 13, 578, 4623, 315, 8335, 374, 2103, 9193, 3062, 323, 9959, 304, 3432, 753, 1917, 13, 763, 279, 4339, 315, 11355, 34644, 889, 574, 9539, 28160, 555, 393, 4042, 11, 19524, 14924, 449, 14265, 2136, 1524, 279, 14209, 315, 264, 10087, 26, 1606, 11, 422, 1070, 387, 832, 11, 568, 2011, 810, 29251, 279, 68089, 315, 2944, 11, 1109, 430, 315, 18507, 20557, 291, 8850, 2029, 320, 42493, 34644, 11, 27757, 311, 11291, 30474, 11, 220, 11256, 22, 482, 3788, 1129, 2185, 749, 546, 292, 4896, 2726, 48981, 10991, 1874, 9976, 1824, 3184, 14, 3841, 544, 1293, 82, 48712, 22941, 91305, 30921, 340, 34, 13, 35698, 389, 1268, 279, 6492, 11754, 701, 21063, 315, 279, 990, 198, 16, 8, 66379, 1268, 279, 19662, 6677, 499, 18661, 1555, 701, 6492, 706, 16369, 477, 29852, 701, 11555, 323, 5255, 16024, 198, 2181, 753, 7185, 430, 856, 2926, 24654, 323, 16024, 922, 420, 990, 11, 1051, 5128, 3345, 311, 1148, 1023, 61787, 323, 83936, 617, 11075, 813, 990, 311, 4097, 13, 18242, 922, 813, 28970, 1306, 4477, 420, 6710, 11, 9087, 757, 15763, 279, 4325, 304, 902, 584, 3974, 1405, 4423, 374, 539, 52942, 320, 258, 5270, 8, 369, 12365, 872, 4059, 13, 1666, 42608, 21324, 11, 1054, 40, 2559, 389, 279, 28004, 315, 46309, 11453, 50487, 1070, 374, 264, 2867, 10383, 315, 279, 2294, 81869, 69122, 11, 11355, 34644, 11, 3842, 83022, 11, 11355, 393, 8511, 323, 60061, 1611, 350, 511, 593, 8078, 430, 1051, 682, 9539, 28160, 555, 393, 4042, 1611, 14603, 438, 8083, 753, 52805, 315, 20207, 323, 18330, 8335, 13, 50487, 393, 4042, 574, 28160, 555, 46309, 13, 5659, 79001, 311, 42048, 323, 505, 37488, 311, 69161, 11, 393, 4042, 574, 264, 19407, 1373, 20207, 323, 16365, 279, 12939, 315, 8830, 3823, 3925, 311, 11322, 7191, 2944, 323, 10082, 627, 20171, 19723, 8641, 505, 25950, 52, 482, 1795, 1129, 898, 22985, 84, 12871, 54896, 65, 36268, 79992, 669, 344, 79992, 66, 344, 11397, 79992, 669, 344, 23106, 62, 16, 4420, 4042, 2628, 22241, 505, 2363, 12283, 16964, 393, 4042, 753, 1401, 3925, 304, 279, 312, 46302, 13, 578, 3566, 2199, 3250, 1431, 1304, 433, 2867, 902, 3229, 3727, 420, 28519, 627, 20171, 1561, 4435, 68198, 482, 13659, 389, 393, 4042, 423, 6985, 14603, 438, 8083, 35434, 813, 1005, 315, 5066, 9052, 8336, 311, 9407, 813, 9052, 46969, 1139, 2555, 502, 627, 46, 2214, 389, 279, 423, 625, 488, 315, 2418, 11, 393, 4042, 423, 6985, 14603, 438, 8083, 482, 3489, 9437, 9959, 961, 315, 477, 367, 198, 16, 11291, 505, 735, 78991, 1561, 40214, 482, 3489, 9437, 832, 33487, 311, 1501, 14603, 438, 8083, 753, 9052, 20282, 304, 813, 19675, 627, 2232, 9437, 4652, 505, 47317, 22168, 8621, 389, 3776, 4469, 43277, 2726, 11, 912, 3229, 836, 8621, 482, 1115, 2565, 12929, 574, 311, 1501, 279, 41961, 315, 393, 4042, 753, 29924, 6848, 315, 8335, 627, 2232, 9437, 11355, 34644, 753, 6661, 482, 37380, 430, 11355, 34644, 6612, 20207, 2191, 574, 2731, 1109, 18507, 10082, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994 ]
[ 128000, 1544, 17907, 39923, 369, 31512, 356, 2311, 304, 2956, 41991, 198, 44722, 80717, 527, 1778, 264, 4279, 3777, 304, 828, 4219, 743, 27859, 430, 279, 26431, 315, 872, 3560, 304, 828, 18874, 374, 3629, 45536, 13, 2876, 1120, 904, 11140, 23125, 649, 3790, 8987, 828, 18874, 11, 323, 4560, 311, 636, 555, 449, 4827, 4367, 477, 32415, 23099, 374, 264, 64901, 701, 2883, 649, 1431, 10150, 627, 4599, 6376, 709, 701, 828, 4219, 11, 1935, 2512, 311, 990, 449, 15062, 14994, 17032, 323, 53459, 13, 2435, 617, 264, 6573, 8830, 315, 279, 37172, 430, 690, 990, 1888, 311, 3790, 279, 3544, 3392, 315, 828, 701, 4219, 690, 1205, 311, 30382, 627, 3923, 8886, 31512, 356, 2311, 323, 356, 4893, 5380, 44722, 80717, 11, 7170, 14183, 311, 439, 11140, 37172, 11, 527, 5042, 37172, 449, 58170, 520, 1855, 842, 13, 362, 11140, 23125, 34161, 1403, 14683, 477, 29393, 7766, 311, 1855, 1023, 369, 8450, 30158, 13, 763, 264, 828, 4219, 11, 11140, 80717, 527, 1511, 311, 4667, 5370, 7766, 11, 2737, 512, 791, 37172, 2187, 18874, 315, 7855, 11, 2835, 11, 323, 7528, 17738, 1990, 1521, 7766, 369, 4009, 291, 323, 2536, 57832, 291, 8522, 627, 4518, 4497, 31512, 34585, 20288, 11, 21431, 323, 39923, 198, 4266, 315, 31512, 356, 2311, 198, 35862, 4595, 315, 37172, 649, 387, 1511, 311, 1304, 11140, 80717, 11, 2737, 512, 12, 54727, 81209, 198, 12, 4015, 47, 320, 49052, 291, 38817, 6857, 340, 12, 549, 4334, 320, 359, 49052, 291, 38817, 6857, 340, 4959, 955, 315, 14994, 374, 1903, 315, 2204, 7384, 11, 10209, 29865, 5990, 315, 4367, 323, 828, 18874, 17357, 627, 4518, 4497, 26788, 389, 8593, 287, 279, 10291, 31512, 356, 2311, 198, 7489, 710, 532, 31512, 356, 2311, 198, 7489, 710, 532, 37172, 527, 8965, 1903, 315, 24166, 323, 649, 387, 20858, 291, 477, 653, 49052, 291, 11, 11911, 389, 279, 2631, 10648, 13, 1115, 3769, 374, 3629, 1511, 304, 11140, 80717, 1606, 433, 374, 3831, 11, 628, 2205, 11, 323, 56488, 31785, 627, 37, 8799, 16963, 292, 31512, 356, 2311, 198, 13129, 2740, 14183, 311, 439, 1054, 73, 24988, 37172, 2476, 24722, 81209, 11140, 80717, 527, 3629, 1511, 449, 29393, 32267, 323, 1023, 62866, 7241, 13, 2435, 527, 10728, 369, 21583, 29393, 1380, 83189, 11, 41006, 11, 323, 15372, 15039, 627, 790, 47, 31512, 356, 2311, 198, 9673, 37172, 6782, 459, 5217, 47499, 6324, 311, 5471, 20314, 32317, 11, 3339, 1124, 1664, 32599, 369, 14028, 304, 5789, 449, 3544, 20314, 7766, 13, 2435, 527, 70351, 33705, 11, 14738, 5107, 311, 4685, 11, 323, 1397, 1063, 5149, 311, 10519, 627, 1406, 47, 31512, 356, 2311, 198, 1406, 47, 11140, 80717, 527, 3177, 323, 2853, 53421, 13, 2435, 527, 3629, 1511, 304, 2162, 323, 5274, 8522, 11, 1778, 439, 21583, 21288, 477, 17963, 19002, 311, 62866, 7147, 28183, 13, 2435, 649, 617, 264, 1579, 32317, 4478, 11, 719, 814, 527, 4228, 311, 10519, 627, 44722, 356, 2311, 369, 2956, 41991, 198, 644, 264, 828, 4219, 6376, 315, 904, 1404, 11, 11140, 80717, 4667, 7241, 52258, 304, 66968, 477, 3289, 42306, 13, 2435, 527, 13750, 15660, 6956, 369, 315, 279, 828, 18874, 1920, 323, 527, 9200, 311, 74142, 279, 5178, 315, 279, 4009, 627, 44722, 80717, 527, 2561, 304, 264, 7029, 8205, 315, 29416, 323, 449, 264, 7029, 56395, 315, 12673, 58170, 311, 7937, 1690, 8522, 2949, 264, 828, 4219, 13, 4718, 14956, 24490, 690, 387, 3025, 311, 1520, 499, 8417, 902, 80717, 323, 34779, 527, 10728, 369, 701, 14994, 6642, 627, 3461, 287, 279, 10291, 2956, 5955, 31512, 356, 2311, 198, 12834, 11140, 80717, 656, 1455, 315, 279, 990, 304, 264, 828, 4219, 6376, 11, 433, 374, 16595, 311, 3373, 279, 1314, 832, 369, 279, 2683, 520, 1450, 13, 3277, 499, 527, 19301, 11140, 80717, 323, 7940, 388, 369, 701, 828, 4219, 11, 2980, 279, 9669, 315, 23125, 4595, 627, 34, 18994, 11140, 80717, 527, 20134, 311, 2766, 1493, 7969, 13, 1115, 649, 40250, 18874, 7969, 11, 6435, 1523, 6500, 7677, 11, 323, 1524, 11857, 477, 2565, 828, 17738, 13, 3277, 27397, 24166, 369, 701, 11140, 37172, 11, 387, 2771, 311, 3197, 369, 2766, 1493, 7649, 627, 97759, 3288, 927, 24166, 649, 1054, 273, 587, 2476, 83526, 279, 18874, 13, 28329, 79659, 11, 994, 828, 37796, 304, 11, 649, 387, 459, 4360, 13, 432, 19991, 320, 12924, 11900, 32317, 8, 323, 469, 9972, 320, 19493, 442, 39100, 32317, 8, 1253, 1101, 12956, 323, 33556, 92096, 627, 12805, 264, 3575, 374, 16914, 11, 433, 649, 387, 5107, 311, 9006, 11, 439, 2766, 6103, 649, 12446, 12660, 3235, 279, 11140, 23125, 14956, 13, 8593, 287, 5190, 4367, 11, 810, 78477, 7162, 97173, 24166, 37172, 323, 58170, 649, 1520, 311, 50460, 1521, 15635, 627, 37, 8799, 16963, 292, 29108, 811, 198, 37, 8799, 81209, 11140, 80717, 6920, 5326, 439, 1664, 11, 15871, 4245, 311, 872, 7106, 6070, 13, 54727, 81209, 80717, 527, 38097, 311, 1464, 425, 9057, 555, 27639, 7106, 8631, 11, 58218, 11, 477, 58671, 993, 38514, 13, 14231, 22867, 24722, 81209, 11140, 80717, 649, 617, 4819, 78768, 26613, 17738, 13, 2410, 13, 2435, 1253, 3217, 27639, 8450, 4814, 422, 264, 14994, 9575, 374, 2288, 1317, 13, 2140, 8778, 660, 477, 58671, 58170, 649, 1101, 1893, 4819, 627, 31485, 11, 26012, 304, 4367, 24722, 81209, 11140, 37172, 477, 7940, 388, 649, 5471, 1690, 315, 1521, 4819, 13, 31512, 80717, 35105, 505, 4367, 6956, 11, 5423, 1884, 430, 617, 1027, 27461, 12793, 323, 8803, 23032, 75730, 320, 3078, 355, 993, 90214, 304, 279, 2115, 705, 690, 12391, 311, 387, 48776, 627, 8607, 828, 19169, 3469, 311, 16343, 279, 1888, 315, 2225, 24800, 2345, 2125, 287, 24166, 323, 24722, 37172, 3871, 304, 872, 828, 4219, 439, 28111, 425, 13, 8876, 1521, 1403, 4595, 315, 14994, 990, 1888, 304, 2204, 828, 18874, 26350, 11, 264, 26038, 14994, 14956, 477, 52550, 14994, 14956, 374, 459, 23669, 6425, 369, 828, 19169, 449, 5361, 8450, 18874, 8670, 627, 96144, 279, 10291, 2956, 5955, 31512, 37987, 7127, 198, 56441, 14994, 7384, 11, 279, 7106, 2955, 315, 264, 11140, 23125, 649, 5536, 701, 828, 4219, 753, 18874, 31638, 323, 5178, 13, 67801, 11, 499, 690, 1390, 311, 2592, 264, 11140, 23125, 449, 279, 3325, 88636, 311, 13937, 1054, 53318, 863, 430, 1436, 40978, 449, 828, 18874, 11, 48408, 1523, 18874, 7969, 477, 18189, 828, 4367, 627, 38275, 701, 828, 4219, 4676, 13, 55215, 279, 3634, 3196, 389, 9547, 1093, 512, 12, 38122, 25, 374, 279, 3634, 57899, 4106, 477, 9439, 5380, 12, 82804, 554, 25, 374, 279, 3813, 8104, 67038, 477, 87146, 9235, 5380, 12, 15819, 9629, 25, 690, 279, 37172, 387, 52258, 304, 459, 3158, 430, 8420, 1205, 311, 2680, 14134, 5380, 32, 56940, 14956, 14290, 449, 264, 3831, 8830, 315, 279, 15009, 2631, 304, 828, 4219, 9293, 649, 1520, 499, 1304, 1521, 6449, 811, 13, 34585, 6956, 11, 1778, 439, 49117, 11, 27300, 3769, 11, 97776, 11, 20634, 323, 810, 11, 527, 1511, 311, 24490, 11140, 80717, 430, 527, 59780, 311, 279, 12434, 59623, 10212, 3485, 627, 2170, 449, 904, 11156, 14028, 11, 499, 690, 1390, 311, 1296, 701, 502, 828, 14956, 311, 7858, 4754, 4819, 13, 4718, 8871, 477, 15009, 5687, 690, 387, 3025, 311, 1296, 369, 828, 37796, 11, 75017, 82, 11, 323, 279, 4367, 315, 279, 828, 1694, 34699, 11, 3339, 34074, 323, 19075, 3235, 279, 1648, 627, 3461, 287, 279, 1314, 11140, 80717, 369, 701, 828, 4219, 649, 743, 499, 709, 369, 2450, 505, 279, 1212, 13, 1556, 38279, 11140, 23125, 2027, 649, 5387, 499, 20134, 311, 828, 18874, 4814, 477, 27639, 12248, 11, 6522, 311, 4827, 5178, 8244, 13, 22938, 449, 264, 56940, 2587, 958, 6595, 14290, 649, 1520, 499, 8417, 1268, 701, 5016, 828, 4219, 4676, 323, 701, 2626, 9021, 1288, 5536, 701, 14994, 323, 14956, 11709, 627, 7476, 40, 706, 16781, 17357, 323, 3217, 304, 30829, 323, 15266, 2587, 11140, 37172, 13, 12040, 264, 1427, 520, 1063, 315, 1057, 14994, 62407, 13, 128001, 128000, 62339, 783, 19504, 10455, 43350, 875, 320, 1964, 10456, 6305, 1650, 1077, 480, 30637, 8, 28284, 264, 5128, 2466, 15553, 389, 6740, 482, 1077, 220, 4645, 267, 13, 1102, 574, 11, 1455, 8659, 11, 264, 7839, 6740, 627, 791, 5687, 323, 1077, 12637, 11062, 520, 578, 393, 1572, 315, 54755, 22982, 1077, 264, 4717, 449, 264, 11573, 88, 19692, 323, 279, 40816, 5737, 872, 2162, 36253, 304, 279, 4092, 13, 3861, 315, 279, 1888, 5596, 315, 5496, 520, 578, 393, 1572, 374, 430, 1077, 20587, 4333, 6439, 1070, 11, 2288, 627, 2746, 499, 2610, 1077, 1148, 279, 1401, 374, 311, 1317, 2324, 11, 1364, 2795, 433, 596, 11689, 13, 3005, 16696, 311, 636, 1077, 7504, 304, 1475, 1938, 13, 3005, 1101, 13551, 264, 15553, 449, 1077, 2294, 72102, 60878, 42136, 1122, 11, 902, 374, 5128, 2294, 11, 2288, 627, 128001, 128000, 2445, 39604, 374, 264, 356, 6875, 6319, 311, 3493, 459, 11084, 5446, 311, 990, 449, 2457, 323, 3115, 320, 28281, 709, 311, 5103, 83, 974, 4942, 11, 220, 16, 36, 12, 868, 50849, 570, 1102, 11815, 12624, 892, 20447, 320, 4908, 45037, 11, 386, 51015, 11, 386, 51015, 1049, 15, 11, 24229, 10476, 61171, 8, 323, 892, 29505, 320, 21872, 11, 24229, 892, 11, 350, 15836, 11, 26639, 4390, 17826, 57629, 198, 60816, 5560, 198, 45527, 198, 35, 81233, 198, 3214, 37579, 198, 48527, 445, 2205, 198, 35, 81233, 17674, 198, 24374, 1497, 8922, 198, 23080, 3028, 198, 1423, 29240, 198, 23080, 1914, 198, 9673, 3649, 527, 3984, 369, 2038, 1193, 13, 2360, 2038, 1618, 374, 5897, 9650, 323, 1288, 539, 387, 1511, 439, 1778, 13, 128001, 128000, 51102, 1268, 61257, 304, 12911, 6144, 31665, 323, 6106, 279, 20334, 315, 279, 3224, 753, 29149, 10706, 13, 45152, 279, 3560, 323, 26431, 315, 61257, 304, 18636, 30029, 627, 8586, 527, 1063, 315, 1521, 7720, 512, 16, 13, 62697, 68420, 78478, 198, 47, 10027, 3422, 1520, 304, 26991, 76056, 430, 649, 13893, 11682, 31665, 13, 3296, 13750, 18646, 76056, 11, 20957, 649, 6106, 5190, 19641, 36508, 13, 1115, 374, 8104, 3062, 304, 264, 3224, 1093, 12911, 11, 1405, 30029, 11335, 264, 5199, 3560, 304, 279, 8752, 323, 5825, 64751, 311, 264, 3544, 3857, 315, 279, 7187, 627, 17, 13, 393, 10027, 3422, 304, 12911, 323, 19721, 30241, 68420, 70674, 198, 47, 10027, 3422, 539, 1193, 2585, 76056, 719, 1101, 6144, 31665, 505, 5370, 19338, 13, 70674, 1778, 439, 95447, 30020, 11, 45964, 1529, 2866, 11, 323, 29962, 8951, 649, 12207, 8108, 19641, 26206, 13, 3296, 1701, 61257, 11, 20957, 649, 5471, 279, 9041, 315, 1521, 19338, 323, 6106, 39345, 31665, 627, 18, 13, 59200, 304, 12369, 25733, 288, 198, 47, 18450, 649, 5353, 16781, 5674, 311, 9967, 41936, 323, 3691, 3956, 13, 763, 264, 3224, 1093, 12911, 11, 1405, 3691, 4868, 374, 264, 16996, 4747, 11, 27252, 3691, 18151, 374, 315, 54711, 12939, 13, 393, 10027, 3422, 1520, 304, 47995, 3691, 555, 26991, 41911, 11, 94209, 11, 323, 1023, 76056, 430, 649, 687, 309, 3357, 9967, 3956, 627, 19, 13, 23362, 39195, 315, 393, 10027, 3422, 304, 12911, 198, 47, 10027, 3422, 1514, 264, 16595, 3560, 304, 20958, 279, 7100, 20334, 315, 18636, 30029, 13, 3296, 22973, 31665, 11, 61257, 1520, 20957, 5766, 5199, 6020, 18151, 4245, 311, 44885, 5674, 13, 23674, 11, 5190, 19641, 36508, 1101, 17210, 311, 7319, 8070, 369, 20957, 11, 8617, 10043, 279, 7100, 6650, 315, 279, 29149, 10706, 627, 20, 13, 25027, 29680, 198, 8142, 279, 1005, 315, 61257, 374, 3629, 5938, 449, 12434, 10742, 11, 433, 374, 3062, 311, 5296, 430, 994, 1511, 87388, 323, 439, 824, 17959, 11, 61257, 649, 387, 24629, 369, 279, 4676, 13, 3296, 27252, 19641, 4814, 323, 18189, 279, 1205, 369, 27639, 4363, 52129, 11, 61257, 1520, 78548, 5933, 5070, 323, 8108, 279, 8244, 12434, 5536, 315, 30029, 627, 44534, 922, 393, 10027, 3422, 304, 12911, 198, 47, 10027, 3422, 11, 994, 1511, 5860, 9824, 398, 11, 1514, 264, 16996, 3560, 304, 22973, 18636, 30029, 505, 76056, 323, 19338, 13, 2435, 539, 1193, 17210, 311, 5190, 19641, 36508, 323, 7100, 20334, 719, 1101, 1520, 304, 47995, 3691, 323, 18189, 12434, 5536, 13, 1102, 374, 3062, 369, 20957, 311, 63652, 8647, 84673, 1005, 323, 12192, 22556, 29149, 12659, 304, 2015, 311, 6106, 264, 71407, 3938, 369, 18636, 30029, 627, 2675, 649, 13488, 1057, 29149, 61257, 128001 ]
[ -100, 1544, 17907, 39923, 369, 31512, 356, 2311, 304, 2956, 41991, 198, 44722, 80717, 527, 1778, 264, 4279, 3777, 304, 828, 4219, 743, 27859, 430, 279, 26431, 315, 872, 3560, 304, 828, 18874, 374, 3629, 45536, 13, 2876, 1120, 904, 11140, 23125, 649, 3790, 8987, 828, 18874, 11, 323, 4560, 311, 636, 555, 449, 4827, 4367, 477, 32415, 23099, 374, 264, 64901, 701, 2883, 649, 1431, 10150, 627, 4599, 6376, 709, 701, 828, 4219, 11, 1935, 2512, 311, 990, 449, 15062, 14994, 17032, 323, 53459, 13, 2435, 617, 264, 6573, 8830, 315, 279, 37172, 430, 690, 990, 1888, 311, 3790, 279, 3544, 3392, 315, 828, 701, 4219, 690, 1205, 311, 30382, 627, 3923, 8886, 31512, 356, 2311, 323, 356, 4893, 5380, 44722, 80717, 11, 7170, 14183, 311, 439, 11140, 37172, 11, 527, 5042, 37172, 449, 58170, 520, 1855, 842, 13, 362, 11140, 23125, 34161, 1403, 14683, 477, 29393, 7766, 311, 1855, 1023, 369, 8450, 30158, 13, 763, 264, 828, 4219, 11, 11140, 80717, 527, 1511, 311, 4667, 5370, 7766, 11, 2737, 512, 791, 37172, 2187, 18874, 315, 7855, 11, 2835, 11, 323, 7528, 17738, 1990, 1521, 7766, 369, 4009, 291, 323, 2536, 57832, 291, 8522, 627, 4518, 4497, 31512, 34585, 20288, 11, 21431, 323, 39923, 198, 4266, 315, 31512, 356, 2311, 198, 35862, 4595, 315, 37172, 649, 387, 1511, 311, 1304, 11140, 80717, 11, 2737, 512, 12, 54727, 81209, 198, 12, 4015, 47, 320, 49052, 291, 38817, 6857, 340, 12, 549, 4334, 320, 359, 49052, 291, 38817, 6857, 340, 4959, 955, 315, 14994, 374, 1903, 315, 2204, 7384, 11, 10209, 29865, 5990, 315, 4367, 323, 828, 18874, 17357, 627, 4518, 4497, 26788, 389, 8593, 287, 279, 10291, 31512, 356, 2311, 198, 7489, 710, 532, 31512, 356, 2311, 198, 7489, 710, 532, 37172, 527, 8965, 1903, 315, 24166, 323, 649, 387, 20858, 291, 477, 653, 49052, 291, 11, 11911, 389, 279, 2631, 10648, 13, 1115, 3769, 374, 3629, 1511, 304, 11140, 80717, 1606, 433, 374, 3831, 11, 628, 2205, 11, 323, 56488, 31785, 627, 37, 8799, 16963, 292, 31512, 356, 2311, 198, 13129, 2740, 14183, 311, 439, 1054, 73, 24988, 37172, 2476, 24722, 81209, 11140, 80717, 527, 3629, 1511, 449, 29393, 32267, 323, 1023, 62866, 7241, 13, 2435, 527, 10728, 369, 21583, 29393, 1380, 83189, 11, 41006, 11, 323, 15372, 15039, 627, 790, 47, 31512, 356, 2311, 198, 9673, 37172, 6782, 459, 5217, 47499, 6324, 311, 5471, 20314, 32317, 11, 3339, 1124, 1664, 32599, 369, 14028, 304, 5789, 449, 3544, 20314, 7766, 13, 2435, 527, 70351, 33705, 11, 14738, 5107, 311, 4685, 11, 323, 1397, 1063, 5149, 311, 10519, 627, 1406, 47, 31512, 356, 2311, 198, 1406, 47, 11140, 80717, 527, 3177, 323, 2853, 53421, 13, 2435, 527, 3629, 1511, 304, 2162, 323, 5274, 8522, 11, 1778, 439, 21583, 21288, 477, 17963, 19002, 311, 62866, 7147, 28183, 13, 2435, 649, 617, 264, 1579, 32317, 4478, 11, 719, 814, 527, 4228, 311, 10519, 627, 44722, 356, 2311, 369, 2956, 41991, 198, 644, 264, 828, 4219, 6376, 315, 904, 1404, 11, 11140, 80717, 4667, 7241, 52258, 304, 66968, 477, 3289, 42306, 13, 2435, 527, 13750, 15660, 6956, 369, 315, 279, 828, 18874, 1920, 323, 527, 9200, 311, 74142, 279, 5178, 315, 279, 4009, 627, 44722, 80717, 527, 2561, 304, 264, 7029, 8205, 315, 29416, 323, 449, 264, 7029, 56395, 315, 12673, 58170, 311, 7937, 1690, 8522, 2949, 264, 828, 4219, 13, 4718, 14956, 24490, 690, 387, 3025, 311, 1520, 499, 8417, 902, 80717, 323, 34779, 527, 10728, 369, 701, 14994, 6642, 627, 3461, 287, 279, 10291, 2956, 5955, 31512, 356, 2311, 198, 12834, 11140, 80717, 656, 1455, 315, 279, 990, 304, 264, 828, 4219, 6376, 11, 433, 374, 16595, 311, 3373, 279, 1314, 832, 369, 279, 2683, 520, 1450, 13, 3277, 499, 527, 19301, 11140, 80717, 323, 7940, 388, 369, 701, 828, 4219, 11, 2980, 279, 9669, 315, 23125, 4595, 627, 34, 18994, 11140, 80717, 527, 20134, 311, 2766, 1493, 7969, 13, 1115, 649, 40250, 18874, 7969, 11, 6435, 1523, 6500, 7677, 11, 323, 1524, 11857, 477, 2565, 828, 17738, 13, 3277, 27397, 24166, 369, 701, 11140, 37172, 11, 387, 2771, 311, 3197, 369, 2766, 1493, 7649, 627, 97759, 3288, 927, 24166, 649, 1054, 273, 587, 2476, 83526, 279, 18874, 13, 28329, 79659, 11, 994, 828, 37796, 304, 11, 649, 387, 459, 4360, 13, 432, 19991, 320, 12924, 11900, 32317, 8, 323, 469, 9972, 320, 19493, 442, 39100, 32317, 8, 1253, 1101, 12956, 323, 33556, 92096, 627, 12805, 264, 3575, 374, 16914, 11, 433, 649, 387, 5107, 311, 9006, 11, 439, 2766, 6103, 649, 12446, 12660, 3235, 279, 11140, 23125, 14956, 13, 8593, 287, 5190, 4367, 11, 810, 78477, 7162, 97173, 24166, 37172, 323, 58170, 649, 1520, 311, 50460, 1521, 15635, 627, 37, 8799, 16963, 292, 29108, 811, 198, 37, 8799, 81209, 11140, 80717, 6920, 5326, 439, 1664, 11, 15871, 4245, 311, 872, 7106, 6070, 13, 54727, 81209, 80717, 527, 38097, 311, 1464, 425, 9057, 555, 27639, 7106, 8631, 11, 58218, 11, 477, 58671, 993, 38514, 13, 14231, 22867, 24722, 81209, 11140, 80717, 649, 617, 4819, 78768, 26613, 17738, 13, 2410, 13, 2435, 1253, 3217, 27639, 8450, 4814, 422, 264, 14994, 9575, 374, 2288, 1317, 13, 2140, 8778, 660, 477, 58671, 58170, 649, 1101, 1893, 4819, 627, 31485, 11, 26012, 304, 4367, 24722, 81209, 11140, 37172, 477, 7940, 388, 649, 5471, 1690, 315, 1521, 4819, 13, 31512, 80717, 35105, 505, 4367, 6956, 11, 5423, 1884, 430, 617, 1027, 27461, 12793, 323, 8803, 23032, 75730, 320, 3078, 355, 993, 90214, 304, 279, 2115, 705, 690, 12391, 311, 387, 48776, 627, 8607, 828, 19169, 3469, 311, 16343, 279, 1888, 315, 2225, 24800, 2345, 2125, 287, 24166, 323, 24722, 37172, 3871, 304, 872, 828, 4219, 439, 28111, 425, 13, 8876, 1521, 1403, 4595, 315, 14994, 990, 1888, 304, 2204, 828, 18874, 26350, 11, 264, 26038, 14994, 14956, 477, 52550, 14994, 14956, 374, 459, 23669, 6425, 369, 828, 19169, 449, 5361, 8450, 18874, 8670, 627, 96144, 279, 10291, 2956, 5955, 31512, 37987, 7127, 198, 56441, 14994, 7384, 11, 279, 7106, 2955, 315, 264, 11140, 23125, 649, 5536, 701, 828, 4219, 753, 18874, 31638, 323, 5178, 13, 67801, 11, 499, 690, 1390, 311, 2592, 264, 11140, 23125, 449, 279, 3325, 88636, 311, 13937, 1054, 53318, 863, 430, 1436, 40978, 449, 828, 18874, 11, 48408, 1523, 18874, 7969, 477, 18189, 828, 4367, 627, 38275, 701, 828, 4219, 4676, 13, 55215, 279, 3634, 3196, 389, 9547, 1093, 512, 12, 38122, 25, 374, 279, 3634, 57899, 4106, 477, 9439, 5380, 12, 82804, 554, 25, 374, 279, 3813, 8104, 67038, 477, 87146, 9235, 5380, 12, 15819, 9629, 25, 690, 279, 37172, 387, 52258, 304, 459, 3158, 430, 8420, 1205, 311, 2680, 14134, 5380, 32, 56940, 14956, 14290, 449, 264, 3831, 8830, 315, 279, 15009, 2631, 304, 828, 4219, 9293, 649, 1520, 499, 1304, 1521, 6449, 811, 13, 34585, 6956, 11, 1778, 439, 49117, 11, 27300, 3769, 11, 97776, 11, 20634, 323, 810, 11, 527, 1511, 311, 24490, 11140, 80717, 430, 527, 59780, 311, 279, 12434, 59623, 10212, 3485, 627, 2170, 449, 904, 11156, 14028, 11, 499, 690, 1390, 311, 1296, 701, 502, 828, 14956, 311, 7858, 4754, 4819, 13, 4718, 8871, 477, 15009, 5687, 690, 387, 3025, 311, 1296, 369, 828, 37796, 11, 75017, 82, 11, 323, 279, 4367, 315, 279, 828, 1694, 34699, 11, 3339, 34074, 323, 19075, 3235, 279, 1648, 627, 3461, 287, 279, 1314, 11140, 80717, 369, 701, 828, 4219, 649, 743, 499, 709, 369, 2450, 505, 279, 1212, 13, 1556, 38279, 11140, 23125, 2027, 649, 5387, 499, 20134, 311, 828, 18874, 4814, 477, 27639, 12248, 11, 6522, 311, 4827, 5178, 8244, 13, 22938, 449, 264, 56940, 2587, 958, 6595, 14290, 649, 1520, 499, 8417, 1268, 701, 5016, 828, 4219, 4676, 323, 701, 2626, 9021, 1288, 5536, 701, 14994, 323, 14956, 11709, 627, 7476, 40, 706, 16781, 17357, 323, 3217, 304, 30829, 323, 15266, 2587, 11140, 37172, 13, 12040, 264, 1427, 520, 1063, 315, 1057, 14994, 62407, 13, 128001, -100, 62339, 783, 19504, 10455, 43350, 875, 320, 1964, 10456, 6305, 1650, 1077, 480, 30637, 8, 28284, 264, 5128, 2466, 15553, 389, 6740, 482, 1077, 220, 4645, 267, 13, 1102, 574, 11, 1455, 8659, 11, 264, 7839, 6740, 627, 791, 5687, 323, 1077, 12637, 11062, 520, 578, 393, 1572, 315, 54755, 22982, 1077, 264, 4717, 449, 264, 11573, 88, 19692, 323, 279, 40816, 5737, 872, 2162, 36253, 304, 279, 4092, 13, 3861, 315, 279, 1888, 5596, 315, 5496, 520, 578, 393, 1572, 374, 430, 1077, 20587, 4333, 6439, 1070, 11, 2288, 627, 2746, 499, 2610, 1077, 1148, 279, 1401, 374, 311, 1317, 2324, 11, 1364, 2795, 433, 596, 11689, 13, 3005, 16696, 311, 636, 1077, 7504, 304, 1475, 1938, 13, 3005, 1101, 13551, 264, 15553, 449, 1077, 2294, 72102, 60878, 42136, 1122, 11, 902, 374, 5128, 2294, 11, 2288, 627, 128001, -100, 2445, 39604, 374, 264, 356, 6875, 6319, 311, 3493, 459, 11084, 5446, 311, 990, 449, 2457, 323, 3115, 320, 28281, 709, 311, 5103, 83, 974, 4942, 11, 220, 16, 36, 12, 868, 50849, 570, 1102, 11815, 12624, 892, 20447, 320, 4908, 45037, 11, 386, 51015, 11, 386, 51015, 1049, 15, 11, 24229, 10476, 61171, 8, 323, 892, 29505, 320, 21872, 11, 24229, 892, 11, 350, 15836, 11, 26639, 4390, 17826, 57629, 198, 60816, 5560, 198, 45527, 198, 35, 81233, 198, 3214, 37579, 198, 48527, 445, 2205, 198, 35, 81233, 17674, 198, 24374, 1497, 8922, 198, 23080, 3028, 198, 1423, 29240, 198, 23080, 1914, 198, 9673, 3649, 527, 3984, 369, 2038, 1193, 13, 2360, 2038, 1618, 374, 5897, 9650, 323, 1288, 539, 387, 1511, 439, 1778, 13, 128001, -100, 51102, 1268, 61257, 304, 12911, 6144, 31665, 323, 6106, 279, 20334, 315, 279, 3224, 753, 29149, 10706, 13, 45152, 279, 3560, 323, 26431, 315, 61257, 304, 18636, 30029, 627, 8586, 527, 1063, 315, 1521, 7720, 512, 16, 13, 62697, 68420, 78478, 198, 47, 10027, 3422, 1520, 304, 26991, 76056, 430, 649, 13893, 11682, 31665, 13, 3296, 13750, 18646, 76056, 11, 20957, 649, 6106, 5190, 19641, 36508, 13, 1115, 374, 8104, 3062, 304, 264, 3224, 1093, 12911, 11, 1405, 30029, 11335, 264, 5199, 3560, 304, 279, 8752, 323, 5825, 64751, 311, 264, 3544, 3857, 315, 279, 7187, 627, 17, 13, 393, 10027, 3422, 304, 12911, 323, 19721, 30241, 68420, 70674, 198, 47, 10027, 3422, 539, 1193, 2585, 76056, 719, 1101, 6144, 31665, 505, 5370, 19338, 13, 70674, 1778, 439, 95447, 30020, 11, 45964, 1529, 2866, 11, 323, 29962, 8951, 649, 12207, 8108, 19641, 26206, 13, 3296, 1701, 61257, 11, 20957, 649, 5471, 279, 9041, 315, 1521, 19338, 323, 6106, 39345, 31665, 627, 18, 13, 59200, 304, 12369, 25733, 288, 198, 47, 18450, 649, 5353, 16781, 5674, 311, 9967, 41936, 323, 3691, 3956, 13, 763, 264, 3224, 1093, 12911, 11, 1405, 3691, 4868, 374, 264, 16996, 4747, 11, 27252, 3691, 18151, 374, 315, 54711, 12939, 13, 393, 10027, 3422, 1520, 304, 47995, 3691, 555, 26991, 41911, 11, 94209, 11, 323, 1023, 76056, 430, 649, 687, 309, 3357, 9967, 3956, 627, 19, 13, 23362, 39195, 315, 393, 10027, 3422, 304, 12911, 198, 47, 10027, 3422, 1514, 264, 16595, 3560, 304, 20958, 279, 7100, 20334, 315, 18636, 30029, 13, 3296, 22973, 31665, 11, 61257, 1520, 20957, 5766, 5199, 6020, 18151, 4245, 311, 44885, 5674, 13, 23674, 11, 5190, 19641, 36508, 1101, 17210, 311, 7319, 8070, 369, 20957, 11, 8617, 10043, 279, 7100, 6650, 315, 279, 29149, 10706, 627, 20, 13, 25027, 29680, 198, 8142, 279, 1005, 315, 61257, 374, 3629, 5938, 449, 12434, 10742, 11, 433, 374, 3062, 311, 5296, 430, 994, 1511, 87388, 323, 439, 824, 17959, 11, 61257, 649, 387, 24629, 369, 279, 4676, 13, 3296, 27252, 19641, 4814, 323, 18189, 279, 1205, 369, 27639, 4363, 52129, 11, 61257, 1520, 78548, 5933, 5070, 323, 8108, 279, 8244, 12434, 5536, 315, 30029, 627, 44534, 922, 393, 10027, 3422, 304, 12911, 198, 47, 10027, 3422, 11, 994, 1511, 5860, 9824, 398, 11, 1514, 264, 16996, 3560, 304, 22973, 18636, 30029, 505, 76056, 323, 19338, 13, 2435, 539, 1193, 17210, 311, 5190, 19641, 36508, 323, 7100, 20334, 719, 1101, 1520, 304, 47995, 3691, 323, 18189, 12434, 5536, 13, 1102, 374, 3062, 369, 20957, 311, 63652, 8647, 84673, 1005, 323, 12192, 22556, 29149, 12659, 304, 2015, 311, 6106, 264, 71407, 3938, 369, 18636, 30029, 627, 2675, 649, 13488, 1057, 29149, 61257, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446 ]
[ 128000, 2409, 4967, 3190, 1314, 2212, 279, 9309, 11, 584, 527, 17562, 287, 1855, 2851, 389, 279, 13256, 24980, 22162, 13, 3216, 1828, 25, 622, 11554, 21293, 9607, 38872, 4999, 41, 11554, 21293, 9607, 38872, 7543, 682, 315, 279, 220, 2366, 15, 12, 1691, 3280, 304, 279, 24603, 449, 279, 13256, 24980, 719, 5675, 279, 11999, 8614, 4219, 8209, 304, 4967, 3190, 520, 279, 1212, 315, 279, 220, 2366, 16, 12, 1313, 3280, 13, 578, 220, 679, 22, 2132, 12, 583, 910, 19089, 279, 29519, 304, 21193, 11, 25270, 4948, 389, 279, 81971, 304, 9021, 320, 1187, 8, 323, 3585, 320, 2618, 8, 304, 220, 4370, 3953, 13, 5046, 21293, 9607, 38872, 753, 220, 1187, 9021, 11, 220, 717, 315, 1124, 3782, 449, 279, 893, 9610, 13, 578, 15740, 315, 813, 1847, 304, 10671, 264, 1633, 7524, 2851, 389, 279, 2410, 1514, 574, 459, 26921, 1879, 627, 16366, 1514, 1550, 7380, 1461, 264, 1650, 5352, 311, 279, 24980, 11, 26449, 304, 264, 6857, 315, 3953, 304, 6790, 1603, 2500, 23810, 304, 5587, 13, 2052, 304, 682, 11, 304, 279, 8254, 3953, 11, 21293, 9607, 38872, 1550, 539, 3335, 264, 1486, 627, 791, 220, 1419, 4771, 6418, 21293, 9607, 38872, 374, 4315, 264, 19641, 315, 42154, 304, 10937, 369, 459, 24603, 7858, 13, 1283, 11, 3235, 449, 39843, 64749, 37489, 11, 432, 82888, 118072, 2850, 11, 445, 3557, 48693, 942, 11, 323, 33007, 435, 351, 6868, 11, 527, 1120, 1063, 315, 279, 5144, 348, 7169, 369, 279, 1620, 1403, 4741, 10093, 13, 5046, 430, 1912, 11, 118072, 2850, 323, 435, 351, 6868, 656, 539, 1205, 311, 2867, 92000, 13, 6104, 48693, 942, 1587, 11, 358, 8541, 311, 1781, 430, 2225, 64749, 37489, 323, 21293, 9607, 38872, 1053, 387, 8469, 315, 1461, 389, 279, 8149, 9676, 13, 1628, 1120, 1606, 118072, 2850, 323, 435, 351, 6868, 527, 54205, 39028, 3250, 1431, 1304, 1124, 17392, 3708, 15220, 82, 13, 118072, 2850, 8710, 1695, 62385, 304, 813, 892, 304, 279, 24603, 1566, 3280, 11, 323, 264, 5915, 64769, 1093, 435, 351, 6868, 1436, 387, 19411, 311, 279, 24980, 704, 315, 3190, 627, 51186, 291, 439, 264, 4219, 11, 21293, 9607, 38872, 1550, 8493, 1063, 892, 389, 279, 20611, 1566, 3280, 449, 279, 81971, 13, 1283, 6244, 264, 1633, 33045, 2851, 11, 13171, 315, 5737, 389, 904, 315, 279, 3116, 5238, 11, 323, 574, 42045, 304, 2225, 279, 2410, 1514, 323, 16750, 5622, 13, 1283, 374, 264, 15525, 8149, 6710, 311, 617, 323, 1053, 387, 832, 315, 856, 1948, 11709, 311, 2567, 2212, 520, 279, 1212, 315, 279, 3280, 627, 791, 10937, 304, 4967, 3190, 690, 387, 11292, 719, 5922, 12798, 6666, 311, 627, 128001, 128000, 12174, 76, 596, 7658, 35315, 1198, 21157, 72122, 11, 81062, 11, 87167, 477, 14346, 1026, 13, 11502, 904, 1403, 2819, 323, 11294, 279, 4948, 627, 12174, 76, 596, 7658, 53338, 1198, 34039, 8840, 76, 596, 7658, 555, 10223, 22465, 11, 1510, 323, 13957, 311, 636, 264, 3318, 30570, 3159, 627, 95443, 12, 5520, 12, 89177, 9483, 1223, 37128, 1198, 11502, 1403, 2819, 320, 12821, 2641, 11, 81062, 11, 14346, 1026, 477, 72122, 8, 323, 11294, 279, 1023, 1403, 627, 13199, 582, 275, 685, 7424, 16224, 12, 1451, 670, 685, 37128, 1198, 11502, 1403, 2819, 320, 11600, 582, 275, 685, 11, 11900, 477, 304, 1076, 685, 8, 323, 11294, 279, 4948, 627, 89177, 7424, 16224, 7813, 391, 582, 275, 685, 37128, 1198, 11502, 1403, 2819, 320, 417, 4011, 11, 11900, 477, 99758, 685, 8, 323, 11294, 279, 4948, 627, 95443, 16110, 37128, 1198, 330, 2028, 37128, 690, 8417, 279, 8187, 1404, 61856, 4460, 3196, 389, 264, 220, 18, 4, 62038, 16110, 13, 1102, 1587, 539, 1935, 1139, 18361, 1023, 9547, 1778, 439, 8187, 23598, 4107, 3196, 389, 279, 5165, 21246, 6247, 6771, 220, 12226, 12, 845, 10246, 38945, 15521, 37128, 1198, 11502, 34438, 38, 11, 9499, 323, 1396, 315, 36108, 323, 11294, 24166, 3158, 323, 23899, 11, 13957, 11, 323, 23598, 4107, 627, 791, 17674, 3562, 356, 6879, 40980, 37128, 1198, 11502, 78736, 1933, 14236, 323, 11294, 13957, 627, 13199, 582, 275, 685, 5273, 37128, 1198, 11502, 85525, 1933, 14236, 323, 11294, 99758, 685, 627, 4977, 33, 28262, 14727, 291, 685, 37128, 1198, 330, 59008, 988, 279, 29683, 91048, 323, 824, 61675, 30425, 5137, 315, 14595, 17124, 16622, 4580, 11917, 69086, 4108, 1210, 27044, 8162, 13406, 11, 23711, 8162, 13406, 11, 6076, 32539, 323, 97929, 6076, 32539, 5935, 3046, 627, 4977, 33, 28262, 25650, 37128, 1198, 21157, 279, 11917, 2430, 369, 17124, 16622, 21126, 627, 6540, 6285, 40980, 18825, 1198, 330, 6540, 6285, 40980, 18825, 320, 50, 5726, 8, 27667, 264, 22884, 1968, 31410, 5643, 304, 51692, 1210, 27044, 264, 51692, 22884, 1968, 323, 19115, 20545, 31052, 627, 17259, 291, 14904, 7572, 30909, 18559, 1198, 1115, 2816, 5727, 39813, 18790, 389, 30975, 3941, 2410, 8312, 2955, 11, 6492, 11, 323, 19576, 12823, 439, 1664, 439, 1063, 3566, 5935, 3046, 3230, 311, 2410, 15009, 10246, 49, 4931, 32459, 811, 1198, 7531, 279, 78278, 11, 11162, 323, 10807, 6956, 315, 39445, 2410, 8312, 12330, 10008, 627, 30431, 12381, 17005, 11896, 1198, 45034, 15009, 279, 461, 1026, 323, 15150, 288, 627, 30431, 12381, 612, 38784, 11, 8840, 76, 596, 7658, 11, 3459, 26622, 612, 11964, 811, 1198, 8840, 76, 596, 2383, 11, 2167, 1510, 39006, 11, 10807, 3254, 10474, 39006, 11, 10807, 2380, 10474, 39006, 627, 46608, 31798, 14, 7244, 25, 8245, 16607, 1198, 9634, 4114, 362, 11419, 20314, 323, 31591, 2038, 5070, 505, 279, 69045, 21382, 11896, 627, 18836, 38784, 17650, 13207, 1198, 330, 2028, 3997, 374, 18255, 1139, 1403, 5596, 13, 3861, 4376, 374, 29329, 311, 264, 11944, 5905, 315, 20314, 15009, 6956, 13, 578, 1023, 4376, 374, 459, 15009, 22237, 10246, 13857, 7388, 220, 2550, 24, 12, 1049, 22, 602, 22804, 11, 15620, 13, 2052, 3268, 4694, 13, 128001, 128000, 3409, 11, 814, 1051, 3815, 220, 1135, 1667, 4227, 10246, 548, 41778, 304, 37002, 11, 1063, 11, 1093, 1202, 8443, 11, 527, 1903, 1022, 29654, 627, 447, 80094, 11, 63577, 323, 1023, 14293, 46603, 555, 279, 2890, 66666, 627, 70922, 727, 1162, 374, 2033, 279, 1404, 315, 1202, 40274, 627, 10547, 304, 264, 12514, 1162, 389, 264, 7446, 8197, 627, 1820, 71820, 351, 97540, 3158, 1359, 32889, 675, 875, 2795, 627, 959, 32606, 369, 6412, 11, 2737, 1370, 9004, 276, 1450, 25313, 660, 389, 2816, 627, 35, 19700, 273, 11, 19111, 751, 78, 11, 9702, 1073, 10599, 323, 100103, 53469, 627, 2409, 779, 1690, 19672, 304, 477, 3221, 279, 6825, 51872, 4857, 520, 220, 17814, 452, 627, 3957, 1974, 374, 709, 369, 279, 8815, 627, 4919, 2744, 1427, 19441, 627, 128001, 128000, 2028, 46160, 374, 20034, 520, 7931, 46227, 311, 12391, 814, 617, 279, 2237, 323, 2134, 315, 6677, 323, 7512, 2631, 311, 6920, 704, 5674, 13023, 323, 594, 30463, 4628, 304, 279, 24987, 3318, 4676, 13, 65538, 2011, 20461, 279, 2768, 990, 7512, 994, 68337, 323, 594, 30463, 4628, 20727, 3158, 25, 27890, 11, 20646, 11, 25052, 287, 11, 85563, 323, 56941, 13, 65538, 2011, 387, 3025, 311, 10772, 323, 3881, 55810, 14, 87304, 311, 13023, 3158, 323, 6381, 1022, 311, 4495, 5643, 311, 2489, 6484, 7479, 11, 311, 2728, 3318, 11470, 11, 23343, 311, 10651, 11, 12745, 323, 40140, 323, 54057, 323, 8333, 13, 128001, 128000, 10267, 8638, 42200, 279, 2082, 13, 2468, 1176, 584, 690, 4358, 279, 1722, 3016, 2068, 13, 5629, 11, 584, 1817, 279, 1396, 315, 5811, 5946, 627, 8140, 4382, 3187, 374, 459, 1722, 3622, 430, 27772, 279, 2768, 7504, 25, 578, 3016, 16181, 264, 1584, 315, 1495, 505, 1202, 5410, 1988, 323, 14238, 279, 1584, 311, 279, 3622, 627, 791, 3622, 16181, 279, 1584, 505, 1202, 4009, 1988, 323, 71057, 279, 1584, 1203, 311, 279, 3016, 13, 578, 3016, 16181, 279, 55212, 1584, 323, 24370, 433, 389, 1202, 5410, 2612, 13, 18185, 1403, 38057, 1990, 279, 3016, 323, 3622, 304, 279, 3485, 7216, 11, 433, 374, 2216, 264, 2539, 1773, 455, 2635, 27754, 3717, 627, 1271, 9407, 420, 3187, 1139, 701, 1866, 3851, 11, 682, 499, 1205, 311, 656, 374, 2349, 1148, 279, 3622, 1587, 449, 279, 1988, 433, 21879, 505, 1202, 8403, 13, 3639, 8741, 994, 279, 3016, 323, 3622, 527, 3940, 30, 3639, 8741, 994, 279, 3016, 88711, 14614, 30, 3639, 8741, 311, 279, 3016, 422, 279, 3622, 1920, 88711, 1603, 279, 3016, 374, 2884, 5380, 3923, 8741, 311, 279, 3016, 422, 279, 3622, 3552, 37237, 30, 763, 682, 1521, 10507, 11, 584, 617, 330, 19221, 87411, 1, 11766, 19440, 18508, 1778, 439, 14564, 323, 20946, 627, 3947, 527, 1403, 8125, 369, 420, 25, 1226, 2011, 3619, 7041, 1148, 3966, 311, 387, 9967, 304, 279, 11766, 19440, 2686, 14726, 1226, 617, 539, 3686, 9960, 279, 6875, 5865, 430, 649, 1304, 420, 810, 23665, 27754, 38906, 8588, 25, 578, 3770, 2082, 374, 279, 35135, 3622, 2068, 25, 4324, 7728, 11, 10950, 3622, 596, 1664, 22015, 2700, 362, 27754, 7728, 374, 3549, 627, 15409, 279, 60204, 2686, 10975, 279, 1887, 430, 584, 690, 4287, 264, 3717, 51687, 369, 904, 2254, 3834, 11, 304, 1162, 279, 1887, 374, 2814, 7141, 25111, 627, 8140, 5873, 315, 279, 27754, 2700, 1396, 374, 3196, 389, 19575, 220, 17, 13, 1102, 1288, 387, 7191, 1109, 584, 656, 539, 1205, 264, 4694, 2700, 66335, 1109, 311, 5766, 12324, 449, 279, 83234, 3333, 20946, 20816, 555, 1690, 33108, 72286, 39437, 1752, 1109, 311, 5766, 12324, 449, 279, 330, 20523, 1, 2134, 315, 83234, 3333, 20946, 438, 433, 1288, 539, 12324, 449, 904, 9879, 2700, 627, 14524, 369, 3016, 3717, 311, 4686, 578, 3622, 10215, 304, 279, 1650, 311, 4287, 11, 8748, 369, 264, 3016, 3717, 311, 4686, 13, 43804, 3622, 1789, 1855, 3016, 11, 23243, 93776, 264, 1716, 11, 323, 279, 1716, 13777, 279, 502, 3016, 627, 791, 1716, 34350, 279, 14624, 7728, 323, 279, 2748, 34350, 279, 8599, 7728, 13, 1102, 16181, 828, 505, 279, 3016, 323, 71057, 433, 1203, 311, 279, 3016, 627, 4518, 264, 4240, 323, 1722, 279, 4240, 1373, 16181, 828, 505, 279, 7728, 323, 279, 1584, 374, 55212, 1203, 311, 279, 3016, 555, 2155, 268, 13, 1442, 279, 3016, 34350, 279, 3717, 279, 4725, 15398, 1820, 23383, 315, 279, 3016, 596, 25338, 11384, 279, 1716, 596, 1373, 311, 471, 220, 15, 1196, 12479, 264, 356, 6108, 8589, 14, 5592, 578, 1828, 6710, 315, 2038, 499, 1205, 374, 279, 2700, 1396, 627, 791, 2700, 374, 459, 7378, 5304, 3717, 1486, 1990, 279, 3016, 323, 3622, 13, 328, 20174, 649, 387, 20336, 311, 1180, 439, 264, 3622, 323, 9020, 369, 19957, 6743, 11, 477, 4667, 311, 1023, 8522, 439, 264, 3016, 13, 4740, 2225, 10548, 315, 264, 27754, 85538, 7728, 527, 8599, 11, 10758, 374, 6160, 34149, 278, 627, 2028, 6205, 2068, 11, 3196, 389, 279, 832, 304, 279, 5410, 6875, 9904, 11, 21879, 627, 26072, 220, 20, 13, 27754, 8589, 14, 5592, 13688, 55609, 29438, 55609, 1226, 690, 1457, 1005, 279, 36256, 5865, 505, 279, 3766, 12735, 311, 3350, 264, 4686, 27754, 3016, 38355, 3187, 627, 8140, 4382, 3187, 374, 459, 1722, 3622, 430, 27772, 279, 2768, 7504, 25, 27754, 38906, 8588, 25, 1925, 5830, 13, 5810, 584, 690, 1893, 264, 4382, 1722, 3016, 323, 1722, 3622, 2068, 1405, 3016, 3708, 279, 1984, 925, 311, 279, 3622, 323, 3622, 55212, 1203, 279, 1890, 1984, 925, 311, 279, 3016, 627, 11631, 279, 2225, 3016, 323, 3622, 2592, 2082, 19742, 433, 323, 1629, 2225, 304, 3290, 3321, 13, 578, 1722, 3622, 374, 264, 4382, 2068, 430, 71057, 1988, 430, 374, 3288, 311, 279, 2068, 1555, 279, 4009, 627, 2028, 3851, 5825, 264, 1695, 6041, 1486, 369, 24834, 1268, 311, 3350, 662, 11659, 323, 10528, 61439, 46508, 21304, 449, 8828, 8459, 6933, 14619, 25095, 25, 31930, 867, 402, 37617, 11, 452, 525, 268, 41240, 480, 723, 575, 9491, 11, 16762, 71, 458, 939, 16566, 97386, 11, 323, 7436, 27754, 14, 42748, 17467, 64862, 1296, 38906, 8588, 477, 3350, 627, 32, 53951, 5446, 6108, 1722, 3622, 374, 3254, 61904, 291, 323, 682, 279, 990, 374, 2884, 304, 279, 13, 128001 ]
[ -100, 2409, 4967, 3190, 1314, 2212, 279, 9309, 11, 584, 527, 17562, 287, 1855, 2851, 389, 279, 13256, 24980, 22162, 13, 3216, 1828, 25, 622, 11554, 21293, 9607, 38872, 4999, 41, 11554, 21293, 9607, 38872, 7543, 682, 315, 279, 220, 2366, 15, 12, 1691, 3280, 304, 279, 24603, 449, 279, 13256, 24980, 719, 5675, 279, 11999, 8614, 4219, 8209, 304, 4967, 3190, 520, 279, 1212, 315, 279, 220, 2366, 16, 12, 1313, 3280, 13, 578, 220, 679, 22, 2132, 12, 583, 910, 19089, 279, 29519, 304, 21193, 11, 25270, 4948, 389, 279, 81971, 304, 9021, 320, 1187, 8, 323, 3585, 320, 2618, 8, 304, 220, 4370, 3953, 13, 5046, 21293, 9607, 38872, 753, 220, 1187, 9021, 11, 220, 717, 315, 1124, 3782, 449, 279, 893, 9610, 13, 578, 15740, 315, 813, 1847, 304, 10671, 264, 1633, 7524, 2851, 389, 279, 2410, 1514, 574, 459, 26921, 1879, 627, 16366, 1514, 1550, 7380, 1461, 264, 1650, 5352, 311, 279, 24980, 11, 26449, 304, 264, 6857, 315, 3953, 304, 6790, 1603, 2500, 23810, 304, 5587, 13, 2052, 304, 682, 11, 304, 279, 8254, 3953, 11, 21293, 9607, 38872, 1550, 539, 3335, 264, 1486, 627, 791, 220, 1419, 4771, 6418, 21293, 9607, 38872, 374, 4315, 264, 19641, 315, 42154, 304, 10937, 369, 459, 24603, 7858, 13, 1283, 11, 3235, 449, 39843, 64749, 37489, 11, 432, 82888, 118072, 2850, 11, 445, 3557, 48693, 942, 11, 323, 33007, 435, 351, 6868, 11, 527, 1120, 1063, 315, 279, 5144, 348, 7169, 369, 279, 1620, 1403, 4741, 10093, 13, 5046, 430, 1912, 11, 118072, 2850, 323, 435, 351, 6868, 656, 539, 1205, 311, 2867, 92000, 13, 6104, 48693, 942, 1587, 11, 358, 8541, 311, 1781, 430, 2225, 64749, 37489, 323, 21293, 9607, 38872, 1053, 387, 8469, 315, 1461, 389, 279, 8149, 9676, 13, 1628, 1120, 1606, 118072, 2850, 323, 435, 351, 6868, 527, 54205, 39028, 3250, 1431, 1304, 1124, 17392, 3708, 15220, 82, 13, 118072, 2850, 8710, 1695, 62385, 304, 813, 892, 304, 279, 24603, 1566, 3280, 11, 323, 264, 5915, 64769, 1093, 435, 351, 6868, 1436, 387, 19411, 311, 279, 24980, 704, 315, 3190, 627, 51186, 291, 439, 264, 4219, 11, 21293, 9607, 38872, 1550, 8493, 1063, 892, 389, 279, 20611, 1566, 3280, 449, 279, 81971, 13, 1283, 6244, 264, 1633, 33045, 2851, 11, 13171, 315, 5737, 389, 904, 315, 279, 3116, 5238, 11, 323, 574, 42045, 304, 2225, 279, 2410, 1514, 323, 16750, 5622, 13, 1283, 374, 264, 15525, 8149, 6710, 311, 617, 323, 1053, 387, 832, 315, 856, 1948, 11709, 311, 2567, 2212, 520, 279, 1212, 315, 279, 3280, 627, 791, 10937, 304, 4967, 3190, 690, 387, 11292, 719, 5922, 12798, 6666, 311, 627, 128001, -100, 12174, 76, 596, 7658, 35315, 1198, 21157, 72122, 11, 81062, 11, 87167, 477, 14346, 1026, 13, 11502, 904, 1403, 2819, 323, 11294, 279, 4948, 627, 12174, 76, 596, 7658, 53338, 1198, 34039, 8840, 76, 596, 7658, 555, 10223, 22465, 11, 1510, 323, 13957, 311, 636, 264, 3318, 30570, 3159, 627, 95443, 12, 5520, 12, 89177, 9483, 1223, 37128, 1198, 11502, 1403, 2819, 320, 12821, 2641, 11, 81062, 11, 14346, 1026, 477, 72122, 8, 323, 11294, 279, 1023, 1403, 627, 13199, 582, 275, 685, 7424, 16224, 12, 1451, 670, 685, 37128, 1198, 11502, 1403, 2819, 320, 11600, 582, 275, 685, 11, 11900, 477, 304, 1076, 685, 8, 323, 11294, 279, 4948, 627, 89177, 7424, 16224, 7813, 391, 582, 275, 685, 37128, 1198, 11502, 1403, 2819, 320, 417, 4011, 11, 11900, 477, 99758, 685, 8, 323, 11294, 279, 4948, 627, 95443, 16110, 37128, 1198, 330, 2028, 37128, 690, 8417, 279, 8187, 1404, 61856, 4460, 3196, 389, 264, 220, 18, 4, 62038, 16110, 13, 1102, 1587, 539, 1935, 1139, 18361, 1023, 9547, 1778, 439, 8187, 23598, 4107, 3196, 389, 279, 5165, 21246, 6247, 6771, 220, 12226, 12, 845, 10246, 38945, 15521, 37128, 1198, 11502, 34438, 38, 11, 9499, 323, 1396, 315, 36108, 323, 11294, 24166, 3158, 323, 23899, 11, 13957, 11, 323, 23598, 4107, 627, 791, 17674, 3562, 356, 6879, 40980, 37128, 1198, 11502, 78736, 1933, 14236, 323, 11294, 13957, 627, 13199, 582, 275, 685, 5273, 37128, 1198, 11502, 85525, 1933, 14236, 323, 11294, 99758, 685, 627, 4977, 33, 28262, 14727, 291, 685, 37128, 1198, 330, 59008, 988, 279, 29683, 91048, 323, 824, 61675, 30425, 5137, 315, 14595, 17124, 16622, 4580, 11917, 69086, 4108, 1210, 27044, 8162, 13406, 11, 23711, 8162, 13406, 11, 6076, 32539, 323, 97929, 6076, 32539, 5935, 3046, 627, 4977, 33, 28262, 25650, 37128, 1198, 21157, 279, 11917, 2430, 369, 17124, 16622, 21126, 627, 6540, 6285, 40980, 18825, 1198, 330, 6540, 6285, 40980, 18825, 320, 50, 5726, 8, 27667, 264, 22884, 1968, 31410, 5643, 304, 51692, 1210, 27044, 264, 51692, 22884, 1968, 323, 19115, 20545, 31052, 627, 17259, 291, 14904, 7572, 30909, 18559, 1198, 1115, 2816, 5727, 39813, 18790, 389, 30975, 3941, 2410, 8312, 2955, 11, 6492, 11, 323, 19576, 12823, 439, 1664, 439, 1063, 3566, 5935, 3046, 3230, 311, 2410, 15009, 10246, 49, 4931, 32459, 811, 1198, 7531, 279, 78278, 11, 11162, 323, 10807, 6956, 315, 39445, 2410, 8312, 12330, 10008, 627, 30431, 12381, 17005, 11896, 1198, 45034, 15009, 279, 461, 1026, 323, 15150, 288, 627, 30431, 12381, 612, 38784, 11, 8840, 76, 596, 7658, 11, 3459, 26622, 612, 11964, 811, 1198, 8840, 76, 596, 2383, 11, 2167, 1510, 39006, 11, 10807, 3254, 10474, 39006, 11, 10807, 2380, 10474, 39006, 627, 46608, 31798, 14, 7244, 25, 8245, 16607, 1198, 9634, 4114, 362, 11419, 20314, 323, 31591, 2038, 5070, 505, 279, 69045, 21382, 11896, 627, 18836, 38784, 17650, 13207, 1198, 330, 2028, 3997, 374, 18255, 1139, 1403, 5596, 13, 3861, 4376, 374, 29329, 311, 264, 11944, 5905, 315, 20314, 15009, 6956, 13, 578, 1023, 4376, 374, 459, 15009, 22237, 10246, 13857, 7388, 220, 2550, 24, 12, 1049, 22, 602, 22804, 11, 15620, 13, 2052, 3268, 4694, 13, 128001, -100, 3409, 11, 814, 1051, 3815, 220, 1135, 1667, 4227, 10246, 548, 41778, 304, 37002, 11, 1063, 11, 1093, 1202, 8443, 11, 527, 1903, 1022, 29654, 627, 447, 80094, 11, 63577, 323, 1023, 14293, 46603, 555, 279, 2890, 66666, 627, 70922, 727, 1162, 374, 2033, 279, 1404, 315, 1202, 40274, 627, 10547, 304, 264, 12514, 1162, 389, 264, 7446, 8197, 627, 1820, 71820, 351, 97540, 3158, 1359, 32889, 675, 875, 2795, 627, 959, 32606, 369, 6412, 11, 2737, 1370, 9004, 276, 1450, 25313, 660, 389, 2816, 627, 35, 19700, 273, 11, 19111, 751, 78, 11, 9702, 1073, 10599, 323, 100103, 53469, 627, 2409, 779, 1690, 19672, 304, 477, 3221, 279, 6825, 51872, 4857, 520, 220, 17814, 452, 627, 3957, 1974, 374, 709, 369, 279, 8815, 627, 4919, 2744, 1427, 19441, 627, 128001, -100, 2028, 46160, 374, 20034, 520, 7931, 46227, 311, 12391, 814, 617, 279, 2237, 323, 2134, 315, 6677, 323, 7512, 2631, 311, 6920, 704, 5674, 13023, 323, 594, 30463, 4628, 304, 279, 24987, 3318, 4676, 13, 65538, 2011, 20461, 279, 2768, 990, 7512, 994, 68337, 323, 594, 30463, 4628, 20727, 3158, 25, 27890, 11, 20646, 11, 25052, 287, 11, 85563, 323, 56941, 13, 65538, 2011, 387, 3025, 311, 10772, 323, 3881, 55810, 14, 87304, 311, 13023, 3158, 323, 6381, 1022, 311, 4495, 5643, 311, 2489, 6484, 7479, 11, 311, 2728, 3318, 11470, 11, 23343, 311, 10651, 11, 12745, 323, 40140, 323, 54057, 323, 8333, 13, 128001, -100, 10267, 8638, 42200, 279, 2082, 13, 2468, 1176, 584, 690, 4358, 279, 1722, 3016, 2068, 13, 5629, 11, 584, 1817, 279, 1396, 315, 5811, 5946, 627, 8140, 4382, 3187, 374, 459, 1722, 3622, 430, 27772, 279, 2768, 7504, 25, 578, 3016, 16181, 264, 1584, 315, 1495, 505, 1202, 5410, 1988, 323, 14238, 279, 1584, 311, 279, 3622, 627, 791, 3622, 16181, 279, 1584, 505, 1202, 4009, 1988, 323, 71057, 279, 1584, 1203, 311, 279, 3016, 13, 578, 3016, 16181, 279, 55212, 1584, 323, 24370, 433, 389, 1202, 5410, 2612, 13, 18185, 1403, 38057, 1990, 279, 3016, 323, 3622, 304, 279, 3485, 7216, 11, 433, 374, 2216, 264, 2539, 1773, 455, 2635, 27754, 3717, 627, 1271, 9407, 420, 3187, 1139, 701, 1866, 3851, 11, 682, 499, 1205, 311, 656, 374, 2349, 1148, 279, 3622, 1587, 449, 279, 1988, 433, 21879, 505, 1202, 8403, 13, 3639, 8741, 994, 279, 3016, 323, 3622, 527, 3940, 30, 3639, 8741, 994, 279, 3016, 88711, 14614, 30, 3639, 8741, 311, 279, 3016, 422, 279, 3622, 1920, 88711, 1603, 279, 3016, 374, 2884, 5380, 3923, 8741, 311, 279, 3016, 422, 279, 3622, 3552, 37237, 30, 763, 682, 1521, 10507, 11, 584, 617, 330, 19221, 87411, 1, 11766, 19440, 18508, 1778, 439, 14564, 323, 20946, 627, 3947, 527, 1403, 8125, 369, 420, 25, 1226, 2011, 3619, 7041, 1148, 3966, 311, 387, 9967, 304, 279, 11766, 19440, 2686, 14726, 1226, 617, 539, 3686, 9960, 279, 6875, 5865, 430, 649, 1304, 420, 810, 23665, 27754, 38906, 8588, 25, 578, 3770, 2082, 374, 279, 35135, 3622, 2068, 25, 4324, 7728, 11, 10950, 3622, 596, 1664, 22015, 2700, 362, 27754, 7728, 374, 3549, 627, 15409, 279, 60204, 2686, 10975, 279, 1887, 430, 584, 690, 4287, 264, 3717, 51687, 369, 904, 2254, 3834, 11, 304, 1162, 279, 1887, 374, 2814, 7141, 25111, 627, 8140, 5873, 315, 279, 27754, 2700, 1396, 374, 3196, 389, 19575, 220, 17, 13, 1102, 1288, 387, 7191, 1109, 584, 656, 539, 1205, 264, 4694, 2700, 66335, 1109, 311, 5766, 12324, 449, 279, 83234, 3333, 20946, 20816, 555, 1690, 33108, 72286, 39437, 1752, 1109, 311, 5766, 12324, 449, 279, 330, 20523, 1, 2134, 315, 83234, 3333, 20946, 438, 433, 1288, 539, 12324, 449, 904, 9879, 2700, 627, 14524, 369, 3016, 3717, 311, 4686, 578, 3622, 10215, 304, 279, 1650, 311, 4287, 11, 8748, 369, 264, 3016, 3717, 311, 4686, 13, 43804, 3622, 1789, 1855, 3016, 11, 23243, 93776, 264, 1716, 11, 323, 279, 1716, 13777, 279, 502, 3016, 627, 791, 1716, 34350, 279, 14624, 7728, 323, 279, 2748, 34350, 279, 8599, 7728, 13, 1102, 16181, 828, 505, 279, 3016, 323, 71057, 433, 1203, 311, 279, 3016, 627, 4518, 264, 4240, 323, 1722, 279, 4240, 1373, 16181, 828, 505, 279, 7728, 323, 279, 1584, 374, 55212, 1203, 311, 279, 3016, 555, 2155, 268, 13, 1442, 279, 3016, 34350, 279, 3717, 279, 4725, 15398, 1820, 23383, 315, 279, 3016, 596, 25338, 11384, 279, 1716, 596, 1373, 311, 471, 220, 15, 1196, 12479, 264, 356, 6108, 8589, 14, 5592, 578, 1828, 6710, 315, 2038, 499, 1205, 374, 279, 2700, 1396, 627, 791, 2700, 374, 459, 7378, 5304, 3717, 1486, 1990, 279, 3016, 323, 3622, 13, 328, 20174, 649, 387, 20336, 311, 1180, 439, 264, 3622, 323, 9020, 369, 19957, 6743, 11, 477, 4667, 311, 1023, 8522, 439, 264, 3016, 13, 4740, 2225, 10548, 315, 264, 27754, 85538, 7728, 527, 8599, 11, 10758, 374, 6160, 34149, 278, 627, 2028, 6205, 2068, 11, 3196, 389, 279, 832, 304, 279, 5410, 6875, 9904, 11, 21879, 627, 26072, 220, 20, 13, 27754, 8589, 14, 5592, 13688, 55609, 29438, 55609, 1226, 690, 1457, 1005, 279, 36256, 5865, 505, 279, 3766, 12735, 311, 3350, 264, 4686, 27754, 3016, 38355, 3187, 627, 8140, 4382, 3187, 374, 459, 1722, 3622, 430, 27772, 279, 2768, 7504, 25, 27754, 38906, 8588, 25, 1925, 5830, 13, 5810, 584, 690, 1893, 264, 4382, 1722, 3016, 323, 1722, 3622, 2068, 1405, 3016, 3708, 279, 1984, 925, 311, 279, 3622, 323, 3622, 55212, 1203, 279, 1890, 1984, 925, 311, 279, 3016, 627, 11631, 279, 2225, 3016, 323, 3622, 2592, 2082, 19742, 433, 323, 1629, 2225, 304, 3290, 3321, 13, 578, 1722, 3622, 374, 264, 4382, 2068, 430, 71057, 1988, 430, 374, 3288, 311, 279, 2068, 1555, 279, 4009, 627, 2028, 3851, 5825, 264, 1695, 6041, 1486, 369, 24834, 1268, 311, 3350, 662, 11659, 323, 10528, 61439, 46508, 21304, 449, 8828, 8459, 6933, 14619, 25095, 25, 31930, 867, 402, 37617, 11, 452, 525, 268, 41240, 480, 723, 575, 9491, 11, 16762, 71, 458, 939, 16566, 97386, 11, 323, 7436, 27754, 14, 42748, 17467, 64862, 1296, 38906, 8588, 477, 3350, 627, 32, 53951, 5446, 6108, 1722, 3622, 374, 3254, 61904, 291, 323, 682, 279, 990, 374, 2884, 304, 279, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782 ]
[ 128000, 15721, 26, 2746, 1364, 374, 22999, 11, 1364, 690, 9778, 4048, 1524, 422, 1364, 374, 539, 7941, 271, 12174, 893, 13, 1115, 374, 279, 3325, 837, 5224, 358, 3077, 3596, 6755, 499, 22256, 326, 1764, 78, 13, 15073, 2822, 11, 422, 499, 2351, 30355, 11, 499, 690, 539, 4048, 13, 18374, 4286, 15721, 26, 61032, 40227, 311, 656, 2555, 13146, 810, 1109, 1694, 1695, 520, 2555, 4286, 1271, 459, 13112, 13, 21347, 81912, 323, 27762, 4536, 956, 7041, 842, 13992, 4286, 15721, 26, 4897, 374, 279, 2944, 358, 1541, 956, 1390, 311, 2457, 459, 6273, 13, 358, 1390, 4423, 430, 706, 1475, 3254, 25835, 311, 656, 4205, 311, 4822, 304, 264, 5133, 449, 757, 13, 23535, 334, 20484, 56, 1053, 459, 6273, 539, 617, 25835, 311, 656, 4395, 311, 4822, 304, 264, 5133, 449, 499, 30, 8595, 656, 499, 9651, 9855, 459, 6273, 1436, 636, 2731, 1109, 499, 30, 334, 128001, 128000, 5519, 539, 1391, 49895, 701, 2955, 1389, 18410, 4857, 17135, 22898, 42870, 7838, 430, 4382, 14769, 11, 449, 72770, 5540, 617, 1027, 304, 348, 28523, 369, 264, 1317, 892, 323, 814, 690, 387, 459, 3062, 9327, 304, 220, 2366, 16, 2288, 13, 578, 7720, 315, 279, 1742, 2997, 539, 1193, 18249, 1245, 11341, 11, 719, 3428, 7194, 439, 1664, 627, 128001, 128000, 27, 265, 621, 373, 29, 2879, 42641, 62864, 12, 70684, 45746, 198, 2, 1115, 5593, 5825, 7526, 369, 82413, 8162, 7299, 4500, 382, 2, 578, 5507, 293, 1261, 88, 2011, 387, 5918, 505, 2592, 13, 578, 1920, 315, 4857, 433, 198, 2, 11621, 264, 2763, 315, 3544, 20797, 323, 1023, 14519, 430, 527, 539, 4460, 198, 2, 311, 1629, 279, 1620, 8026, 13, 1115, 6324, 374, 1120, 369, 4857, 279, 293, 1261, 88, 198, 2, 8026, 902, 374, 22523, 704, 3010, 382, 31193, 97178, 25, 19911, 5871, 293, 1261, 88, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 1977, 12, 49582, 257, 3120, 286, 94096, 2342, 3120, 286, 16749, 338, 3120, 286, 1304, 394, 3120, 286, 25830, 26187, 692, 3120, 286, 77013, 10521, 1881, 3120, 286, 82318, 16, 70, 26842, 692, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 1977, 293, 1261, 88, 482, 1205, 311, 1977, 505, 2592, 198, 2, 1701, 264, 3293, 5379, 4619, 315, 6004, 311, 636, 82413, 1862, 198, 48490, 16749, 15057, 3788, 1129, 5316, 916, 41789, 3554, 1261, 88, 33899, 3120, 262, 1024, 15667, 293, 1261, 88, 3120, 262, 1024, 16749, 28363, 220, 21757, 69, 10125, 69, 18, 641, 17, 65, 16, 68, 20, 66, 22, 65, 2721, 65, 24, 64, 18, 3716, 24, 4749, 23, 64, 410, 68, 22640, 3391, 3120, 262, 1024, 94096, 482, 33, 1977, 482, 38, 330, 56932, 7557, 7346, 1, 482, 50, 662, 3120, 262, 1024, 94096, 1198, 5957, 1977, 3120, 262, 1024, 94096, 1198, 5957, 1977, 1198, 5775, 4685, 3120, 262, 1024, 15667, 5354, 3120, 262, 1024, 19535, 482, 8212, 293, 1261, 88, 3120, 262, 1024, 13619, 611, 7208, 23066, 8923, 3554, 1261, 88, 271, 2, 23570, 369, 16749, 31717, 3168, 5507, 271, 31193, 97178, 25, 19911, 5871, 16749, 566, 3168, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 9736, 6159, 310, 3120, 286, 14284, 394, 3120, 286, 39719, 455, 70, 2342, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 923, 16749, 31717, 3168, 5507, 369, 24038, 2609, 301, 27403, 198, 2, 8026, 374, 24174, 505, 32104, 198, 48490, 31173, 16749, 31717, 3168, 3120, 262, 1024, 15667, 16749, 31717, 3168, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 73612, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 65470, 8358, 3120, 262, 1024, 342, 3601, 1198, 798, 4120, 305, 49595, 1129, 798, 4120, 13, 39079, 916, 1198, 35077, 77209, 366, 4889, 29, 3120, 262, 1024, 342, 3601, 1198, 12728, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 73612, 3120, 262, 1024, 16249, 8358, 1264, 1198, 2071, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 65470, 8358, 3120, 262, 1024, 12460, 482, 67800, 46341, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 3120, 262, 1024, 12773, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 61690, 31717, 3168, 611, 7208, 23066, 8923, 12196, 3120, 262, 1024, 15667, 5354, 3120, 262, 1024, 19535, 482, 8212, 16749, 31717, 3168, 3120, 262, 1024, 13619, 611, 7208, 23066, 8923, 61690, 31717, 3168, 271, 2, 1115, 374, 279, 2217, 430, 690, 617, 682, 279, 82413, 1977, 7526, 271, 31193, 10344, 25, 18, 13, 605, 1355, 4763, 1481, 620, 8674, 68, 198, 18977, 12530, 611, 5094, 271, 2, 2385, 7526, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 1860, 81, 39741, 66, 310, 3120, 286, 47924, 2071, 310, 3120, 286, 14284, 394, 3120, 286, 656, 19472, 1835, 3120, 286, 52017, 12, 70684, 1835, 3120, 286, 16749, 338, 3120, 286, 1304, 394, 3120, 286, 25830, 26187, 692, 3120, 286, 77013, 10521, 1881, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 3048, 279, 16749, 31717, 3168, 15919, 505, 279, 6931, 2217, 198, 58584, 1198, 1527, 28, 13178, 566, 3168, 611, 7208, 23066, 8923, 61690, 31717, 3168, 611, 7208, 23066, 8923, 85000, 2, 3048, 279, 293, 1261, 88, 15919, 505, 279, 6931, 2217, 198, 58584, 1198, 1527, 22861, 1261, 88, 611, 7208, 23066, 8923, 3554, 1261, 88, 611, 7208, 23066, 8923, 85000, 39780, 510, 3193, 7006, 17587, 7171, 128001, 128000, 48, 25, 7286, 1924, 1701, 29678, 12830, 1226, 617, 220, 18, 23204, 304, 856, 3851, 323, 1205, 311, 9788, 1521, 1701, 20932, 2580, 1345, 537, 315, 279, 5151, 304, 1855, 5769, 527, 11763, 1093, 1176, 836, 93996, 836, 64652, 11, 10169, 13387, 3454, 912, 323, 18679, 45, 5099, 627, 16, 8, 3923, 374, 1888, 6725, 311, 9788, 5151, 1701, 20932, 2580, 27791, 358, 1005, 7933, 80669, 304, 279, 1988, 4877, 477, 1288, 358, 733, 369, 2587, 50353, 369, 682, 220, 279, 5151, 198, 322, 985, 7933, 80669, 198, 9361, 955, 429, 4174, 1, 836, 429, 1242, 45, 1, 7933, 80669, 429, 784, 77, 1610, 1103, 548, 87, 4099, 14676, 7879, 269, 198, 322, 985, 2587, 50353, 198, 9361, 955, 429, 4174, 1, 836, 429, 1242, 45, 1, 256, 11107, 303, 1248, 535, 760, 4815, 128001, 128000, 33947, 1561, 9941, 0, 578, 39405, 5114, 369, 279, 17979, 323, 23199, 374, 38564, 3432, 311, 10536, 1022, 220, 679, 15, 555, 38787, 430, 584, 527, 19073, 28818, 264, 502, 12735, 315, 279, 5114, 304, 1561, 4356, 4409, 13, 23212, 11, 584, 3207, 39377, 323, 14243, 62454, 311, 387, 36387, 264, 5042, 48317, 6445, 315, 8162, 10398, 592, 5633, 33277, 420, 2447, 323, 63204, 279, 2802, 315, 12738, 304, 279, 15861, 11, 2737, 25, 353, 42663, 5929, 353, 61236, 2259, 38065, 353, 11517, 64795, 353, 8388, 9865, 258, 353, 32501, 50356, 8050, 353, 40979, 452, 7442, 9509, 1540, 353, 40271, 42402, 71865, 353, 31164, 3402, 53979, 353, 1628, 11, 20479, 11500, 93944, 753, 25028, 315, 39405, 11, 279, 16958, 25745, 12336, 12, 60916, 59509, 8876, 433, 753, 6186, 220, 16, 267, 11, 420, 3445, 430, 8522, 527, 1825, 3131, 1578, 389, 279, 1925, 13500, 21142, 2199, 13, 1628, 422, 499, 3207, 304, 1561, 4356, 4409, 11, 420, 3445, 430, 433, 753, 19073, 1825, 3280, 311, 11894, 264, 6140, 311, 3719, 279, 3363, 753, 1633, 1176, 37946, 0, 73901, 3345, 3131, 1578, 40522, 389, 6186, 220, 868, 339, 11, 779, 433, 753, 5922, 539, 80430, 323, 34194, 701, 2447, 6848, 439, 5246, 439, 499, 649, 13, 1472, 2643, 5406, 430, 584, 3207, 2875, 264, 2478, 315, 1057, 8162, 10398, 592, 5633, 320, 1820, 13783, 4580, 374, 5899, 11, 311, 1893, 1057, 400, 16, 11, 931, 13500, 570, 1226, 3207, 2103, 29373, 704, 279, 3649, 449, 279, 9861, 16087, 11, 323, 584, 4805, 387, 38787, 1124, 439, 814, 7838, 304, 6186, 0, 29837, 33519, 11, 25237, 13016, 13, 128001 ]
[ -100, 15721, 26, 2746, 1364, 374, 22999, 11, 1364, 690, 9778, 4048, 1524, 422, 1364, 374, 539, 7941, 271, 12174, 893, 13, 1115, 374, 279, 3325, 837, 5224, 358, 3077, 3596, 6755, 499, 22256, 326, 1764, 78, 13, 15073, 2822, 11, 422, 499, 2351, 30355, 11, 499, 690, 539, 4048, 13, 18374, 4286, 15721, 26, 61032, 40227, 311, 656, 2555, 13146, 810, 1109, 1694, 1695, 520, 2555, 4286, 1271, 459, 13112, 13, 21347, 81912, 323, 27762, 4536, 956, 7041, 842, 13992, 4286, 15721, 26, 4897, 374, 279, 2944, 358, 1541, 956, 1390, 311, 2457, 459, 6273, 13, 358, 1390, 4423, 430, 706, 1475, 3254, 25835, 311, 656, 4205, 311, 4822, 304, 264, 5133, 449, 757, 13, 23535, 334, 20484, 56, 1053, 459, 6273, 539, 617, 25835, 311, 656, 4395, 311, 4822, 304, 264, 5133, 449, 499, 30, 8595, 656, 499, 9651, 9855, 459, 6273, 1436, 636, 2731, 1109, 499, 30, 334, 128001, -100, 5519, 539, 1391, 49895, 701, 2955, 1389, 18410, 4857, 17135, 22898, 42870, 7838, 430, 4382, 14769, 11, 449, 72770, 5540, 617, 1027, 304, 348, 28523, 369, 264, 1317, 892, 323, 814, 690, 387, 459, 3062, 9327, 304, 220, 2366, 16, 2288, 13, 578, 7720, 315, 279, 1742, 2997, 539, 1193, 18249, 1245, 11341, 11, 719, 3428, 7194, 439, 1664, 627, 128001, -100, 27, 265, 621, 373, 29, 2879, 42641, 62864, 12, 70684, 45746, 198, 2, 1115, 5593, 5825, 7526, 369, 82413, 8162, 7299, 4500, 382, 2, 578, 5507, 293, 1261, 88, 2011, 387, 5918, 505, 2592, 13, 578, 1920, 315, 4857, 433, 198, 2, 11621, 264, 2763, 315, 3544, 20797, 323, 1023, 14519, 430, 527, 539, 4460, 198, 2, 311, 1629, 279, 1620, 8026, 13, 1115, 6324, 374, 1120, 369, 4857, 279, 293, 1261, 88, 198, 2, 8026, 902, 374, 22523, 704, 3010, 382, 31193, 97178, 25, 19911, 5871, 293, 1261, 88, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 1977, 12, 49582, 257, 3120, 286, 94096, 2342, 3120, 286, 16749, 338, 3120, 286, 1304, 394, 3120, 286, 25830, 26187, 692, 3120, 286, 77013, 10521, 1881, 3120, 286, 82318, 16, 70, 26842, 692, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 1977, 293, 1261, 88, 482, 1205, 311, 1977, 505, 2592, 198, 2, 1701, 264, 3293, 5379, 4619, 315, 6004, 311, 636, 82413, 1862, 198, 48490, 16749, 15057, 3788, 1129, 5316, 916, 41789, 3554, 1261, 88, 33899, 3120, 262, 1024, 15667, 293, 1261, 88, 3120, 262, 1024, 16749, 28363, 220, 21757, 69, 10125, 69, 18, 641, 17, 65, 16, 68, 20, 66, 22, 65, 2721, 65, 24, 64, 18, 3716, 24, 4749, 23, 64, 410, 68, 22640, 3391, 3120, 262, 1024, 94096, 482, 33, 1977, 482, 38, 330, 56932, 7557, 7346, 1, 482, 50, 662, 3120, 262, 1024, 94096, 1198, 5957, 1977, 3120, 262, 1024, 94096, 1198, 5957, 1977, 1198, 5775, 4685, 3120, 262, 1024, 15667, 5354, 3120, 262, 1024, 19535, 482, 8212, 293, 1261, 88, 3120, 262, 1024, 13619, 611, 7208, 23066, 8923, 3554, 1261, 88, 271, 2, 23570, 369, 16749, 31717, 3168, 5507, 271, 31193, 97178, 25, 19911, 5871, 16749, 566, 3168, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 9736, 6159, 310, 3120, 286, 14284, 394, 3120, 286, 39719, 455, 70, 2342, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 923, 16749, 31717, 3168, 5507, 369, 24038, 2609, 301, 27403, 198, 2, 8026, 374, 24174, 505, 32104, 198, 48490, 31173, 16749, 31717, 3168, 3120, 262, 1024, 15667, 16749, 31717, 3168, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 73612, 3120, 262, 1024, 14284, 482, 1971, 3788, 1129, 5316, 916, 5255, 71, 359, 61690, 31717, 3168, 59287, 34730, 5574, 15, 13, 19, 13, 17, 61690, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 65470, 8358, 3120, 262, 1024, 342, 3601, 1198, 798, 4120, 305, 49595, 1129, 798, 4120, 13, 39079, 916, 1198, 35077, 77209, 366, 4889, 29, 3120, 262, 1024, 342, 3601, 1198, 12728, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 73612, 3120, 262, 1024, 16249, 8358, 1264, 1198, 2071, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 65470, 8358, 3120, 262, 1024, 12460, 482, 67800, 46341, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 6695, 4218, 62, 1227, 12, 16476, 47475, 86816, 29148, 21637, 3120, 262, 1024, 12773, 16749, 31717, 3168, 12, 15, 13, 19, 13, 17, 61690, 31717, 3168, 611, 7208, 23066, 8923, 12196, 3120, 262, 1024, 15667, 5354, 3120, 262, 1024, 19535, 482, 8212, 16749, 31717, 3168, 3120, 262, 1024, 13619, 611, 7208, 23066, 8923, 61690, 31717, 3168, 271, 2, 1115, 374, 279, 2217, 430, 690, 617, 682, 279, 82413, 1977, 7526, 271, 31193, 10344, 25, 18, 13, 605, 1355, 4763, 1481, 620, 8674, 68, 198, 18977, 12530, 611, 5094, 271, 2, 2385, 7526, 198, 48490, 20697, 23304, 2713, 692, 3120, 262, 1024, 20697, 23304, 4685, 482, 88, 256, 3120, 286, 1860, 81, 39741, 66, 310, 3120, 286, 47924, 2071, 310, 3120, 286, 14284, 394, 3120, 286, 656, 19472, 1835, 3120, 286, 52017, 12, 70684, 1835, 3120, 286, 16749, 338, 3120, 286, 1304, 394, 3120, 286, 25830, 26187, 692, 3120, 286, 77013, 10521, 1881, 3120, 262, 1024, 19535, 482, 8212, 611, 959, 8357, 87765, 99381, 50860, 2, 3048, 279, 16749, 31717, 3168, 15919, 505, 279, 6931, 2217, 198, 58584, 1198, 1527, 28, 13178, 566, 3168, 611, 7208, 23066, 8923, 61690, 31717, 3168, 611, 7208, 23066, 8923, 85000, 2, 3048, 279, 293, 1261, 88, 15919, 505, 279, 6931, 2217, 198, 58584, 1198, 1527, 22861, 1261, 88, 611, 7208, 23066, 8923, 3554, 1261, 88, 611, 7208, 23066, 8923, 85000, 39780, 510, 3193, 7006, 17587, 7171, 128001, -100, 48, 25, 7286, 1924, 1701, 29678, 12830, 1226, 617, 220, 18, 23204, 304, 856, 3851, 323, 1205, 311, 9788, 1521, 1701, 20932, 2580, 1345, 537, 315, 279, 5151, 304, 1855, 5769, 527, 11763, 1093, 1176, 836, 93996, 836, 64652, 11, 10169, 13387, 3454, 912, 323, 18679, 45, 5099, 627, 16, 8, 3923, 374, 1888, 6725, 311, 9788, 5151, 1701, 20932, 2580, 27791, 358, 1005, 7933, 80669, 304, 279, 1988, 4877, 477, 1288, 358, 733, 369, 2587, 50353, 369, 682, 220, 279, 5151, 198, 322, 985, 7933, 80669, 198, 9361, 955, 429, 4174, 1, 836, 429, 1242, 45, 1, 7933, 80669, 429, 784, 77, 1610, 1103, 548, 87, 4099, 14676, 7879, 269, 198, 322, 985, 2587, 50353, 198, 9361, 955, 429, 4174, 1, 836, 429, 1242, 45, 1, 256, 11107, 303, 1248, 535, 760, 4815, 128001, -100, 33947, 1561, 9941, 0, 578, 39405, 5114, 369, 279, 17979, 323, 23199, 374, 38564, 3432, 311, 10536, 1022, 220, 679, 15, 555, 38787, 430, 584, 527, 19073, 28818, 264, 502, 12735, 315, 279, 5114, 304, 1561, 4356, 4409, 13, 23212, 11, 584, 3207, 39377, 323, 14243, 62454, 311, 387, 36387, 264, 5042, 48317, 6445, 315, 8162, 10398, 592, 5633, 33277, 420, 2447, 323, 63204, 279, 2802, 315, 12738, 304, 279, 15861, 11, 2737, 25, 353, 42663, 5929, 353, 61236, 2259, 38065, 353, 11517, 64795, 353, 8388, 9865, 258, 353, 32501, 50356, 8050, 353, 40979, 452, 7442, 9509, 1540, 353, 40271, 42402, 71865, 353, 31164, 3402, 53979, 353, 1628, 11, 20479, 11500, 93944, 753, 25028, 315, 39405, 11, 279, 16958, 25745, 12336, 12, 60916, 59509, 8876, 433, 753, 6186, 220, 16, 267, 11, 420, 3445, 430, 8522, 527, 1825, 3131, 1578, 389, 279, 1925, 13500, 21142, 2199, 13, 1628, 422, 499, 3207, 304, 1561, 4356, 4409, 11, 420, 3445, 430, 433, 753, 19073, 1825, 3280, 311, 11894, 264, 6140, 311, 3719, 279, 3363, 753, 1633, 1176, 37946, 0, 73901, 3345, 3131, 1578, 40522, 389, 6186, 220, 868, 339, 11, 779, 433, 753, 5922, 539, 80430, 323, 34194, 701, 2447, 6848, 439, 5246, 439, 499, 649, 13, 1472, 2643, 5406, 430, 584, 3207, 2875, 264, 2478, 315, 1057, 8162, 10398, 592, 5633, 320, 1820, 13783, 4580, 374, 5899, 11, 311, 1893, 1057, 400, 16, 11, 931, 13500, 570, 1226, 3207, 2103, 29373, 704, 279, 3649, 449, 279, 9861, 16087, 11, 323, 584, 4805, 387, 38787, 1124, 439, 814, 7838, 304, 6186, 0, 29837, 33519, 11, 25237, 13016, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267 ]
[ 128000, 40413, 264, 17102, 374, 279, 1566, 961, 315, 279, 3495, 5684, 11, 13633, 4395, 3871, 323, 63143, 433, 1139, 701, 2926, 3495, 13, 2650, 311, 842, 264, 17102, 264, 17102, 2011, 6563, 736, 279, 6742, 9204, 279, 907, 323, 26431, 315, 279, 990, 13, 2650, 311, 3350, 459, 9071, 17102, 6288, 323, 6847, 323, 433, 5992, 1093, 499, 527, 3685, 311, 3350, 264, 17102, 520, 279, 842, 315, 701, 311, 830, 75, 9071, 420, 3445, 430, 11, 627, 791, 72126, 14646, 323, 814, 1288, 2646, 3240, 449, 304, 17102, 422, 279, 17219, 323, 2547, 315, 701, 9071, 617, 264, 2867, 35782, 17974, 2650, 311, 3350, 264, 17102, 311, 264, 32465, 9071, 264, 32465, 9071, 1288, 24564, 323, 15806, 264, 990, 315, 17649, 477, 459, 13189, 315, 264, 990, 315, 17649, 499, 13, 3639, 527, 1063, 5627, 311, 842, 264, 17102, 14646, 2713, 9299, 4320, 29709, 220, 16, 4320, 1148, 527, 1063, 5627, 311, 842, 459, 9071, 13, 2650, 311, 3350, 459, 264, 10, 17219, 3118, 477, 279, 33811, 51194, 430, 701, 17102, 374, 499, 1288, 3351, 279, 17850, 5224, 311, 279, 842, 315, 279, 627, 10464, 420, 1160, 315, 220, 508, 9071, 17102, 10507, 430, 14861, 264, 2134, 315, 13650, 323, 9071, 20447, 439, 264, 36567, 9998, 311, 31740, 323, 6179, 701, 1866, 4477, 13, 2057, 3350, 459, 7524, 9616, 323, 13168, 9071, 11, 264, 7061, 3966, 311, 47032, 8405, 264, 1695, 17102, 369, 9616, 323, 13168, 9071, 11, 6968, 12034, 311, 279, 13, 2052, 527, 1620, 5238, 505, 1063, 5526, 23691, 842, 420, 86337, 950, 17102, 4131, 505, 10631, 311, 1893, 264, 33596, 13696, 369, 701, 19775, 9071, 627, 2028, 9071, 389, 3728, 24808, 1690, 4907, 5220, 2212, 279, 1917, 430, 31646, 369, 502, 31376, 40373, 1778, 439, 5707, 649, 3604, 842, 709, 20252, 682, 304, 17102, 13, 1115, 2199, 5727, 10688, 11, 10631, 323, 459, 21782, 315, 1268, 311, 3350, 459, 17219, 11, 2547, 323, 17102, 315, 459, 9071, 477, 3495, 5684, 369, 2731, 28711, 323, 311, 3719, 264, 13, 21883, 374, 264, 1160, 315, 279, 1455, 17037, 1511, 17102, 9320, 4339, 4856, 1109, 1694, 4689, 304, 813, 5873, 315, 9320, 4339, 311, 1005, 304, 813, 9071, 13, 2468, 279, 17102, 315, 279, 8431, 4208, 1070, 1051, 1403, 6724, 2204, 6787, 369, 44928, 287, 279, 7140, 574, 17011, 449, 1047, 671, 17012, 10006, 22808, 1047, 13, 4060, 279, 9071, 79599, 31342, 649, 656, 279, 17102, 315, 459, 9071, 374, 279, 8776, 2035, 369, 16483, 311, 13519, 311, 872, 13016, 279, 24525, 627, 791, 842, 315, 279, 9439, 4208, 374, 3752, 38210, 5938, 449, 279, 4498, 315, 279, 779, 85, 3978, 32447, 304, 279, 420, 9071, 706, 1027, 14976, 555, 264, 17102, 13, 1115, 9071, 17102, 22237, 5039, 499, 1405, 311, 2231, 701, 9647, 11, 1148, 311, 2997, 11, 10507, 315, 1695, 31342, 11, 323, 11510, 315, 10631, 311, 7417, 6288, 13, 763, 420, 18228, 11, 499, 690, 4048, 311, 10165, 264, 17102, 430, 690, 5387, 701, 6742, 7422, 555, 2800, 1113, 701, 17850, 323, 7231, 264, 40067, 369, 1957, 627, 3905, 21702, 388, 16498, 9071, 17102, 21782, 3021, 279, 1648, 19205, 77139, 13535, 3258, 5829, 1367, 645, 13, 3861, 315, 279, 1455, 5526, 9071, 8712, 4315, 4236, 374, 9071, 922, 2324, 1405, 1475, 5575, 16696, 311, 7664, 813, 39007, 2324, 11, 5435, 11, 30601, 323, 36721, 82, 13, 2650, 311, 32194, 701, 7926, 48911, 23691, 1618, 753, 459, 50565, 505, 856, 35097, 8641, 389, 1268, 311, 3350, 264, 7926, 3851, 9071, 1701, 264, 19775, 627, 5618, 4741, 420, 1493, 4264, 311, 220, 24, 220, 806, 9071, 17102, 7926, 323, 1579, 2978, 9071, 4477, 499, 649, 7095, 66429, 315, 1057, 1367, 21336, 5886, 16483, 304, 2587, 13, 80640, 505, 279, 2926, 10430, 315, 3477, 16064, 430, 1521, 29085, 1304, 1403, 13124, 315, 19035, 25, 220, 16, 8, 459, 17057, 12399, 315, 279, 1510, 1614, 315, 459, 3158, 315, 13, 1221, 24436, 527, 1120, 439, 3062, 439, 6111, 5247, 279, 17102, 34350, 279, 9071, 323, 16696, 311, 3345, 279, 4360, 279, 9395, 374, 311, 28008, 279, 6742, 430, 701, 9071, 627, 8586, 527, 1063, 10507, 315, 31342, 264, 1695, 17102, 690, 25, 312, 28810, 279, 3488, 63179, 279, 1925, 6848, 3041, 701, 9647, 11, 422, 499, 9167, 1431, 2728, 13, 74977, 311, 459, 9071, 25, 3187, 9071, 3488, 25, 1148, 374, 279, 12939, 315, 87940, 304, 4216, 1716, 4500, 4430, 420, 2199, 25, 1833, 279, 12374, 389, 13, 578, 17102, 9071, 374, 459, 16358, 10507, 315, 31342, 311, 23691, 842, 315, 279, 1938, 220, 18, 704, 315, 220, 605, 23691, 6493, 13, 7570, 459, 50750, 1295, 649, 842, 701, 9071, 304, 264, 5505, 1648, 279, 17219, 323, 17102, 4686, 279, 43743, 315, 701, 9071, 1541, 956, 3009, 1120, 3686, 13, 128001, 128000, 39787, 315, 13790, 38156, 38424, 320, 43, 1829, 82, 8, 439, 62917, 38424, 430, 617, 1027, 4018, 323, 653, 21621, 311, 7068, 13790, 4619, 315, 62917, 11633, 13, 29363, 38156, 38424, 527, 40056, 315, 1403, 5596, 11, 279, 6156, 323, 14580, 11, 902, 16681, 449, 832, 2500, 1193, 994, 2410, 374, 9435, 13, 21663, 279, 6156, 477, 279, 14580, 649, 387, 8521, 1418, 279, 1023, 11031, 627, 4599, 2380, 82710, 1645, 2410, 374, 9435, 311, 279, 6156, 11, 264, 21646, 66669, 31405, 12330, 374, 36572, 323, 11031, 8844, 311, 279, 6156, 13, 578, 12330, 90974, 459, 9249, 1510, 304, 279, 6929, 535, 13010, 12235, 13, 578, 36572, 9249, 1510, 84261, 449, 279, 24924, 31405, 311, 8356, 264, 13790, 5457, 13, 578, 4732, 315, 279, 9048, 649, 387, 28830, 555, 10223, 279, 1988, 11900, 1701, 459, 37030, 11900, 6678, 627, 791, 6156, 17610, 315, 264, 2380, 82710, 40760, 14956, 11, 13890, 311, 279, 357, 859, 315, 264, 62917, 9048, 627, 791, 2380, 82710, 71860, 527, 27653, 323, 22306, 1139, 264, 9699, 326, 27935, 5729, 3235, 449, 29487, 9313, 6956, 13, 578, 40760, 10160, 826, 323, 5729, 527, 1243, 43669, 7913, 304, 264, 30945, 750, 6929, 535, 97744, 627, 791, 14580, 11, 3967, 439, 264, 63125, 304, 264, 8776, 62917, 38156, 9048, 11, 374, 264, 13010, 12235, 13, 1115, 12235, 649, 387, 40056, 315, 25674, 477, 24166, 11, 323, 264, 9699, 25695, 13, 578, 13010, 12235, 3160, 374, 6273, 311, 279, 3160, 315, 279, 40760, 5636, 279, 12943, 13, 362, 18534, 1887, 374, 2631, 311, 10519, 279, 3805, 13225, 1990, 279, 6156, 323, 14580, 13, 128001, 128000, 36064, 4131, 520, 264, 8650, 11, 719, 889, 2216, 21935, 5380, 2059, 6513, 323, 13818, 617, 12439, 304, 872, 8063, 2162, 369, 927, 220, 508, 1667, 13, 2435, 14000, 279, 10228, 15485, 3940, 311, 1427, 264, 2697, 24634, 323, 304, 3004, 922, 264, 502, 15485, 13, 578, 12929, 369, 279, 502, 15485, 574, 927, 400, 1135, 11, 931, 13, 2435, 6773, 311, 3412, 1022, 389, 3794, 264, 502, 15485, 4245, 311, 279, 20900, 627, 32, 2478, 5672, 3010, 11, 13678, 11, 264, 12818, 30844, 1960, 449, 264, 66525, 2883, 11, 33085, 389, 872, 6134, 11, 63025, 1124, 430, 814, 649, 636, 264, 502, 15485, 369, 1949, 505, 56637, 323, 13818, 753, 67798, 753, 8276, 2883, 13, 1115, 35408, 1093, 264, 8063, 2586, 837, 13, 720, 1966, 264, 7446, 8197, 11, 1690, 1274, 3719, 12697, 315, 420, 88312, 1405, 279, 66525, 30844, 1960, 1054, 79079, 2512, 315, 4395, 2476, 95135, 459, 70954, 3802, 449, 279, 8276, 2883, 11, 323, 1243, 48926, 264, 19831, 422, 279, 2883, 11774, 279, 927, 652, 7725, 15485, 7194, 14976, 13, 1442, 279, 2883, 3250, 1431, 2343, 11, 264, 23810, 315, 2383, 19339, 617, 264, 46722, 5064, 26559, 11758, 315, 15485, 43986, 11, 14392, 814, 690, 3243, 3892, 369, 11990, 304, 14065, 753, 12718, 627, 15546, 33291, 304, 420, 15398, 30, 578, 5578, 67798, 13, 7357, 1938, 11, 682, 8956, 307, 5493, 889, 527, 40962, 527, 12798, 369, 1521, 1949, 77395, 449, 7319, 48607, 430, 11, 304, 1063, 5157, 11, 527, 2033, 1566, 1060, 753, 48607, 627, 2028, 6725, 315, 50244, 389, 14365, 323, 30844, 5977, 369, 8349, 11, 779, 430, 4948, 9875, 320, 76736, 388, 323, 31434, 8, 649, 1304, 3300, 1022, 315, 499, 11, 279, 67798, 11, 706, 2853, 1475, 1732, 304, 420, 1614, 13, 720, 791, 6541, 304, 49395, 374, 430, 499, 2343, 264, 15193, 430, 706, 17454, 14599, 11646, 26, 9093, 11, 499, 527, 49009, 264, 471, 389, 9341, 505, 430, 4947, 13, 1115, 374, 14770, 279, 7580, 315, 8276, 13, 1102, 374, 8967, 311, 387, 1070, 994, 499, 617, 264, 3802, 315, 1148, 753, 2663, 264, 60392, 627, 2746, 701, 15485, 37796, 1606, 433, 753, 220, 868, 311, 220, 508, 1667, 2362, 11, 430, 374, 4725, 10051, 323, 18036, 323, 539, 264, 2944, 311, 1052, 459, 8276, 3802, 13, 18944, 10051, 323, 18036, 31286, 527, 311, 387, 7318, 555, 279, 67798, 323, 1288, 539, 8346, 279, 8276, 4947, 311, 2343, 704, 1234, 264, 60392, 13, 2030, 1578, 11, 279, 56926, 315, 1690, 40962, 19762, 2555, 304, 471, 505, 12798, 872, 15193, 374, 28987, 682, 220, 22, 13, 20, 3610, 4947, 17075, 13, 1102, 753, 2133, 311, 1935, 682, 9875, 6532, 311, 2503, 1523, 520, 279, 2007, 323, 990, 3871, 9017, 4279, 5647, 10105, 13, 2360, 832, 3185, 690, 636, 4395, 814, 1390, 11, 719, 433, 753, 7953, 2867, 430, 279, 1853, 584, 527, 14836, 1523, 374, 53057, 627, 58127, 649, 1431, 1194, 3300, 1093, 279, 549, 815, 13, 3109, 13, 3161, 264, 400, 6550, 70173, 1614, 8199, 11, 323, 40996, 22413, 8351, 7982, 520, 459, 57376, 11295, 6650, 315, 220, 2148, 11, 931, 10396, 304, 832, 2046, 7636, 11, 323, 927, 400, 10568, 7239, 304, 14675, 11, 9784, 374, 832, 10260, 220, 18, 477, 11493, 13766, 3201, 505, 36707, 627, 2173, 3388, 11, 315, 430, 400, 10568, 7239, 304, 14675, 11, 264, 13766, 1053, 617, 311, 3504, 279, 4459, 1614, 13, 8489, 11, 539, 2216, 11, 13126, 40996, 529, 10396, 527, 38626, 15871, 304, 10913, 9784, 11, 14691, 1555, 4987, 9784, 323, 1139, 279, 25104, 13, 362, 13766, 20129, 279, 18561, 13651, 315, 279, 1614, 1436, 32992, 6623, 29320, 279, 1614, 315, 9784, 627, 2170, 459, 8276, 8479, 369, 810, 1109, 220, 508, 1667, 11, 358, 649, 2019, 1070, 753, 2646, 1027, 264, 3157, 420, 3958, 369, 4947, 17075, 13, 3011, 753, 264, 2466, 5224, 13126, 584, 1051, 539, 1524, 3345, 311, 3515, 1521, 955, 315, 11774, 1306, 8223, 44583, 4295, 304, 220, 1049, 19, 323, 220, 1049, 20, 627, 3947, 527, 8276, 5220, 2133, 704, 315, 2626, 2163, 323, 1314, 11, 323, 1690, 810, 8276, 5220, 430, 617, 3060, 13541, 704, 315, 9784, 31155, 11, 477, 28191, 22340, 4477, 502, 10396, 627, 4438, 1550, 584, 636, 1618, 30, 3277, 433, 4131, 311, 3424, 8276, 43986, 11, 9784, 1047, 220, 8027, 11, 931, 29076, 13019, 304, 220, 2366, 16, 11, 323, 912, 1023, 1614, 1047, 810, 1109, 220, 7467, 13, 9784, 706, 1193, 220, 23, 4, 315, 682, 3424, 8276, 8349, 13019, 304, 279, 549, 815, 2637, 3686, 584, 617, 4661, 220, 1490, 4, 315, 682, 43986, 304, 279, 549, 815, 13, 1115, 11737, 374, 98609, 627, 2181, 374, 4228, 369, 279, 586, 311, 2019, 8276, 5220, 527, 14289, 26, 430, 814, 617, 682, 279, 3300, 11, 323, 814, 2646, 2343, 8349, 13, 2684, 527, 1690, 1695, 8276, 5220, 704, 1070, 2225, 2466, 323, 2678, 430, 636, 433, 1314, 13, 1628, 10035, 11, 1475, 1457, 323, 1243, 264, 2294, 2883, 3727, 264, 16930, 11, 323, 47591, 264, 3802, 13, 3011, 374, 3249, 1070, 527, 586, 7652, 388, 11, 323, 31434, 627, 4071, 13443, 1541, 1431, 10457, 11, 323, 279, 53840, 315, 14065, 5621, 29844, 291, 8349, 11, 10043, 709, 279, 7194, 11, 706, 3117, 704, 69652, 279, 8276, 5220, 430, 1304, 21294, 389, 1063, 8349, 627, 128001, 128000, 791, 328, 3418, 309, 461, 77286, 87060, 93037, 527, 43535, 323, 4194, 80809, 13, 2435, 4668, 459, 36573, 29142, 7198, 6319, 311, 10885, 1203, 1139, 6211, 11, 459, 4871, 4128, 32089, 311, 3041, 499, 5217, 1742, 2671, 11, 459, 36573, 5740, 2531, 8736, 311, 2567, 279, 25567, 505, 20427, 709, 1418, 499, 37920, 11, 3351, 11, 323, 5882, 4194, 438, 311, 2567, 701, 25567, 1022, 279, 5015, 323, 3201, 505, 1023, 14739, 3262, 35017, 5540, 13, 128001 ]
[ -100, 40413, 264, 17102, 374, 279, 1566, 961, 315, 279, 3495, 5684, 11, 13633, 4395, 3871, 323, 63143, 433, 1139, 701, 2926, 3495, 13, 2650, 311, 842, 264, 17102, 264, 17102, 2011, 6563, 736, 279, 6742, 9204, 279, 907, 323, 26431, 315, 279, 990, 13, 2650, 311, 3350, 459, 9071, 17102, 6288, 323, 6847, 323, 433, 5992, 1093, 499, 527, 3685, 311, 3350, 264, 17102, 520, 279, 842, 315, 701, 311, 830, 75, 9071, 420, 3445, 430, 11, 627, 791, 72126, 14646, 323, 814, 1288, 2646, 3240, 449, 304, 17102, 422, 279, 17219, 323, 2547, 315, 701, 9071, 617, 264, 2867, 35782, 17974, 2650, 311, 3350, 264, 17102, 311, 264, 32465, 9071, 264, 32465, 9071, 1288, 24564, 323, 15806, 264, 990, 315, 17649, 477, 459, 13189, 315, 264, 990, 315, 17649, 499, 13, 3639, 527, 1063, 5627, 311, 842, 264, 17102, 14646, 2713, 9299, 4320, 29709, 220, 16, 4320, 1148, 527, 1063, 5627, 311, 842, 459, 9071, 13, 2650, 311, 3350, 459, 264, 10, 17219, 3118, 477, 279, 33811, 51194, 430, 701, 17102, 374, 499, 1288, 3351, 279, 17850, 5224, 311, 279, 842, 315, 279, 627, 10464, 420, 1160, 315, 220, 508, 9071, 17102, 10507, 430, 14861, 264, 2134, 315, 13650, 323, 9071, 20447, 439, 264, 36567, 9998, 311, 31740, 323, 6179, 701, 1866, 4477, 13, 2057, 3350, 459, 7524, 9616, 323, 13168, 9071, 11, 264, 7061, 3966, 311, 47032, 8405, 264, 1695, 17102, 369, 9616, 323, 13168, 9071, 11, 6968, 12034, 311, 279, 13, 2052, 527, 1620, 5238, 505, 1063, 5526, 23691, 842, 420, 86337, 950, 17102, 4131, 505, 10631, 311, 1893, 264, 33596, 13696, 369, 701, 19775, 9071, 627, 2028, 9071, 389, 3728, 24808, 1690, 4907, 5220, 2212, 279, 1917, 430, 31646, 369, 502, 31376, 40373, 1778, 439, 5707, 649, 3604, 842, 709, 20252, 682, 304, 17102, 13, 1115, 2199, 5727, 10688, 11, 10631, 323, 459, 21782, 315, 1268, 311, 3350, 459, 17219, 11, 2547, 323, 17102, 315, 459, 9071, 477, 3495, 5684, 369, 2731, 28711, 323, 311, 3719, 264, 13, 21883, 374, 264, 1160, 315, 279, 1455, 17037, 1511, 17102, 9320, 4339, 4856, 1109, 1694, 4689, 304, 813, 5873, 315, 9320, 4339, 311, 1005, 304, 813, 9071, 13, 2468, 279, 17102, 315, 279, 8431, 4208, 1070, 1051, 1403, 6724, 2204, 6787, 369, 44928, 287, 279, 7140, 574, 17011, 449, 1047, 671, 17012, 10006, 22808, 1047, 13, 4060, 279, 9071, 79599, 31342, 649, 656, 279, 17102, 315, 459, 9071, 374, 279, 8776, 2035, 369, 16483, 311, 13519, 311, 872, 13016, 279, 24525, 627, 791, 842, 315, 279, 9439, 4208, 374, 3752, 38210, 5938, 449, 279, 4498, 315, 279, 779, 85, 3978, 32447, 304, 279, 420, 9071, 706, 1027, 14976, 555, 264, 17102, 13, 1115, 9071, 17102, 22237, 5039, 499, 1405, 311, 2231, 701, 9647, 11, 1148, 311, 2997, 11, 10507, 315, 1695, 31342, 11, 323, 11510, 315, 10631, 311, 7417, 6288, 13, 763, 420, 18228, 11, 499, 690, 4048, 311, 10165, 264, 17102, 430, 690, 5387, 701, 6742, 7422, 555, 2800, 1113, 701, 17850, 323, 7231, 264, 40067, 369, 1957, 627, 3905, 21702, 388, 16498, 9071, 17102, 21782, 3021, 279, 1648, 19205, 77139, 13535, 3258, 5829, 1367, 645, 13, 3861, 315, 279, 1455, 5526, 9071, 8712, 4315, 4236, 374, 9071, 922, 2324, 1405, 1475, 5575, 16696, 311, 7664, 813, 39007, 2324, 11, 5435, 11, 30601, 323, 36721, 82, 13, 2650, 311, 32194, 701, 7926, 48911, 23691, 1618, 753, 459, 50565, 505, 856, 35097, 8641, 389, 1268, 311, 3350, 264, 7926, 3851, 9071, 1701, 264, 19775, 627, 5618, 4741, 420, 1493, 4264, 311, 220, 24, 220, 806, 9071, 17102, 7926, 323, 1579, 2978, 9071, 4477, 499, 649, 7095, 66429, 315, 1057, 1367, 21336, 5886, 16483, 304, 2587, 13, 80640, 505, 279, 2926, 10430, 315, 3477, 16064, 430, 1521, 29085, 1304, 1403, 13124, 315, 19035, 25, 220, 16, 8, 459, 17057, 12399, 315, 279, 1510, 1614, 315, 459, 3158, 315, 13, 1221, 24436, 527, 1120, 439, 3062, 439, 6111, 5247, 279, 17102, 34350, 279, 9071, 323, 16696, 311, 3345, 279, 4360, 279, 9395, 374, 311, 28008, 279, 6742, 430, 701, 9071, 627, 8586, 527, 1063, 10507, 315, 31342, 264, 1695, 17102, 690, 25, 312, 28810, 279, 3488, 63179, 279, 1925, 6848, 3041, 701, 9647, 11, 422, 499, 9167, 1431, 2728, 13, 74977, 311, 459, 9071, 25, 3187, 9071, 3488, 25, 1148, 374, 279, 12939, 315, 87940, 304, 4216, 1716, 4500, 4430, 420, 2199, 25, 1833, 279, 12374, 389, 13, 578, 17102, 9071, 374, 459, 16358, 10507, 315, 31342, 311, 23691, 842, 315, 279, 1938, 220, 18, 704, 315, 220, 605, 23691, 6493, 13, 7570, 459, 50750, 1295, 649, 842, 701, 9071, 304, 264, 5505, 1648, 279, 17219, 323, 17102, 4686, 279, 43743, 315, 701, 9071, 1541, 956, 3009, 1120, 3686, 13, 128001, -100, 39787, 315, 13790, 38156, 38424, 320, 43, 1829, 82, 8, 439, 62917, 38424, 430, 617, 1027, 4018, 323, 653, 21621, 311, 7068, 13790, 4619, 315, 62917, 11633, 13, 29363, 38156, 38424, 527, 40056, 315, 1403, 5596, 11, 279, 6156, 323, 14580, 11, 902, 16681, 449, 832, 2500, 1193, 994, 2410, 374, 9435, 13, 21663, 279, 6156, 477, 279, 14580, 649, 387, 8521, 1418, 279, 1023, 11031, 627, 4599, 2380, 82710, 1645, 2410, 374, 9435, 311, 279, 6156, 11, 264, 21646, 66669, 31405, 12330, 374, 36572, 323, 11031, 8844, 311, 279, 6156, 13, 578, 12330, 90974, 459, 9249, 1510, 304, 279, 6929, 535, 13010, 12235, 13, 578, 36572, 9249, 1510, 84261, 449, 279, 24924, 31405, 311, 8356, 264, 13790, 5457, 13, 578, 4732, 315, 279, 9048, 649, 387, 28830, 555, 10223, 279, 1988, 11900, 1701, 459, 37030, 11900, 6678, 627, 791, 6156, 17610, 315, 264, 2380, 82710, 40760, 14956, 11, 13890, 311, 279, 357, 859, 315, 264, 62917, 9048, 627, 791, 2380, 82710, 71860, 527, 27653, 323, 22306, 1139, 264, 9699, 326, 27935, 5729, 3235, 449, 29487, 9313, 6956, 13, 578, 40760, 10160, 826, 323, 5729, 527, 1243, 43669, 7913, 304, 264, 30945, 750, 6929, 535, 97744, 627, 791, 14580, 11, 3967, 439, 264, 63125, 304, 264, 8776, 62917, 38156, 9048, 11, 374, 264, 13010, 12235, 13, 1115, 12235, 649, 387, 40056, 315, 25674, 477, 24166, 11, 323, 264, 9699, 25695, 13, 578, 13010, 12235, 3160, 374, 6273, 311, 279, 3160, 315, 279, 40760, 5636, 279, 12943, 13, 362, 18534, 1887, 374, 2631, 311, 10519, 279, 3805, 13225, 1990, 279, 6156, 323, 14580, 13, 128001, -100, 36064, 4131, 520, 264, 8650, 11, 719, 889, 2216, 21935, 5380, 2059, 6513, 323, 13818, 617, 12439, 304, 872, 8063, 2162, 369, 927, 220, 508, 1667, 13, 2435, 14000, 279, 10228, 15485, 3940, 311, 1427, 264, 2697, 24634, 323, 304, 3004, 922, 264, 502, 15485, 13, 578, 12929, 369, 279, 502, 15485, 574, 927, 400, 1135, 11, 931, 13, 2435, 6773, 311, 3412, 1022, 389, 3794, 264, 502, 15485, 4245, 311, 279, 20900, 627, 32, 2478, 5672, 3010, 11, 13678, 11, 264, 12818, 30844, 1960, 449, 264, 66525, 2883, 11, 33085, 389, 872, 6134, 11, 63025, 1124, 430, 814, 649, 636, 264, 502, 15485, 369, 1949, 505, 56637, 323, 13818, 753, 67798, 753, 8276, 2883, 13, 1115, 35408, 1093, 264, 8063, 2586, 837, 13, 720, 1966, 264, 7446, 8197, 11, 1690, 1274, 3719, 12697, 315, 420, 88312, 1405, 279, 66525, 30844, 1960, 1054, 79079, 2512, 315, 4395, 2476, 95135, 459, 70954, 3802, 449, 279, 8276, 2883, 11, 323, 1243, 48926, 264, 19831, 422, 279, 2883, 11774, 279, 927, 652, 7725, 15485, 7194, 14976, 13, 1442, 279, 2883, 3250, 1431, 2343, 11, 264, 23810, 315, 2383, 19339, 617, 264, 46722, 5064, 26559, 11758, 315, 15485, 43986, 11, 14392, 814, 690, 3243, 3892, 369, 11990, 304, 14065, 753, 12718, 627, 15546, 33291, 304, 420, 15398, 30, 578, 5578, 67798, 13, 7357, 1938, 11, 682, 8956, 307, 5493, 889, 527, 40962, 527, 12798, 369, 1521, 1949, 77395, 449, 7319, 48607, 430, 11, 304, 1063, 5157, 11, 527, 2033, 1566, 1060, 753, 48607, 627, 2028, 6725, 315, 50244, 389, 14365, 323, 30844, 5977, 369, 8349, 11, 779, 430, 4948, 9875, 320, 76736, 388, 323, 31434, 8, 649, 1304, 3300, 1022, 315, 499, 11, 279, 67798, 11, 706, 2853, 1475, 1732, 304, 420, 1614, 13, 720, 791, 6541, 304, 49395, 374, 430, 499, 2343, 264, 15193, 430, 706, 17454, 14599, 11646, 26, 9093, 11, 499, 527, 49009, 264, 471, 389, 9341, 505, 430, 4947, 13, 1115, 374, 14770, 279, 7580, 315, 8276, 13, 1102, 374, 8967, 311, 387, 1070, 994, 499, 617, 264, 3802, 315, 1148, 753, 2663, 264, 60392, 627, 2746, 701, 15485, 37796, 1606, 433, 753, 220, 868, 311, 220, 508, 1667, 2362, 11, 430, 374, 4725, 10051, 323, 18036, 323, 539, 264, 2944, 311, 1052, 459, 8276, 3802, 13, 18944, 10051, 323, 18036, 31286, 527, 311, 387, 7318, 555, 279, 67798, 323, 1288, 539, 8346, 279, 8276, 4947, 311, 2343, 704, 1234, 264, 60392, 13, 2030, 1578, 11, 279, 56926, 315, 1690, 40962, 19762, 2555, 304, 471, 505, 12798, 872, 15193, 374, 28987, 682, 220, 22, 13, 20, 3610, 4947, 17075, 13, 1102, 753, 2133, 311, 1935, 682, 9875, 6532, 311, 2503, 1523, 520, 279, 2007, 323, 990, 3871, 9017, 4279, 5647, 10105, 13, 2360, 832, 3185, 690, 636, 4395, 814, 1390, 11, 719, 433, 753, 7953, 2867, 430, 279, 1853, 584, 527, 14836, 1523, 374, 53057, 627, 58127, 649, 1431, 1194, 3300, 1093, 279, 549, 815, 13, 3109, 13, 3161, 264, 400, 6550, 70173, 1614, 8199, 11, 323, 40996, 22413, 8351, 7982, 520, 459, 57376, 11295, 6650, 315, 220, 2148, 11, 931, 10396, 304, 832, 2046, 7636, 11, 323, 927, 400, 10568, 7239, 304, 14675, 11, 9784, 374, 832, 10260, 220, 18, 477, 11493, 13766, 3201, 505, 36707, 627, 2173, 3388, 11, 315, 430, 400, 10568, 7239, 304, 14675, 11, 264, 13766, 1053, 617, 311, 3504, 279, 4459, 1614, 13, 8489, 11, 539, 2216, 11, 13126, 40996, 529, 10396, 527, 38626, 15871, 304, 10913, 9784, 11, 14691, 1555, 4987, 9784, 323, 1139, 279, 25104, 13, 362, 13766, 20129, 279, 18561, 13651, 315, 279, 1614, 1436, 32992, 6623, 29320, 279, 1614, 315, 9784, 627, 2170, 459, 8276, 8479, 369, 810, 1109, 220, 508, 1667, 11, 358, 649, 2019, 1070, 753, 2646, 1027, 264, 3157, 420, 3958, 369, 4947, 17075, 13, 3011, 753, 264, 2466, 5224, 13126, 584, 1051, 539, 1524, 3345, 311, 3515, 1521, 955, 315, 11774, 1306, 8223, 44583, 4295, 304, 220, 1049, 19, 323, 220, 1049, 20, 627, 3947, 527, 8276, 5220, 2133, 704, 315, 2626, 2163, 323, 1314, 11, 323, 1690, 810, 8276, 5220, 430, 617, 3060, 13541, 704, 315, 9784, 31155, 11, 477, 28191, 22340, 4477, 502, 10396, 627, 4438, 1550, 584, 636, 1618, 30, 3277, 433, 4131, 311, 3424, 8276, 43986, 11, 9784, 1047, 220, 8027, 11, 931, 29076, 13019, 304, 220, 2366, 16, 11, 323, 912, 1023, 1614, 1047, 810, 1109, 220, 7467, 13, 9784, 706, 1193, 220, 23, 4, 315, 682, 3424, 8276, 8349, 13019, 304, 279, 549, 815, 2637, 3686, 584, 617, 4661, 220, 1490, 4, 315, 682, 43986, 304, 279, 549, 815, 13, 1115, 11737, 374, 98609, 627, 2181, 374, 4228, 369, 279, 586, 311, 2019, 8276, 5220, 527, 14289, 26, 430, 814, 617, 682, 279, 3300, 11, 323, 814, 2646, 2343, 8349, 13, 2684, 527, 1690, 1695, 8276, 5220, 704, 1070, 2225, 2466, 323, 2678, 430, 636, 433, 1314, 13, 1628, 10035, 11, 1475, 1457, 323, 1243, 264, 2294, 2883, 3727, 264, 16930, 11, 323, 47591, 264, 3802, 13, 3011, 374, 3249, 1070, 527, 586, 7652, 388, 11, 323, 31434, 627, 4071, 13443, 1541, 1431, 10457, 11, 323, 279, 53840, 315, 14065, 5621, 29844, 291, 8349, 11, 10043, 709, 279, 7194, 11, 706, 3117, 704, 69652, 279, 8276, 5220, 430, 1304, 21294, 389, 1063, 8349, 627, 128001, -100, 791, 328, 3418, 309, 461, 77286, 87060, 93037, 527, 43535, 323, 4194, 80809, 13, 2435, 4668, 459, 36573, 29142, 7198, 6319, 311, 10885, 1203, 1139, 6211, 11, 459, 4871, 4128, 32089, 311, 3041, 499, 5217, 1742, 2671, 11, 459, 36573, 5740, 2531, 8736, 311, 2567, 279, 25567, 505, 20427, 709, 1418, 499, 37920, 11, 3351, 11, 323, 5882, 4194, 438, 311, 2567, 701, 25567, 1022, 279, 5015, 323, 3201, 505, 1023, 14739, 3262, 35017, 5540, 13, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77 ]
[ 128000, 10445, 3234, 22425, 5493, 7290, 420, 26572, 1054, 791, 480, 91354, 13381, 74022, 2209, 433, 459, 11683, 62259, 7817, 5380, 791, 4124, 315, 5905, 12673, 311, 279, 14841, 315, 1667, 505, 220, 9714, 20, 311, 220, 7028, 15, 439, 3451, 791, 480, 91354, 13381, 23189, 24897, 264, 7479, 30103, 309, 1405, 264, 6761, 41394, 3289, 50441, 264, 12136, 9501, 30456, 13, 578, 42535, 369, 279, 342, 91354, 4325, 2440, 41095, 279, 11295, 4500, 323, 14800, 315, 279, 8752, 11, 502, 14645, 11, 46835, 315, 12205, 11, 323, 279, 25329, 315, 7191, 2410, 24059, 279, 24084, 35490, 13, 4452, 11, 3770, 279, 16358, 7479, 11203, 279, 50446, 10534, 555, 13076, 7487, 323, 279, 27129, 13176, 279, 22277, 323, 19739, 40804, 662, 35341, 661, 311, 279, 19411, 10708, 323, 16036, 4500, 32126, 24059, 279, 47361, 44935, 388, 11, 279, 89513, 59355, 21667, 80947, 11062, 16066, 505, 7319, 3674, 323, 7100, 23965, 627, 8607, 9053, 3312, 660, 279, 90669, 9919, 2391, 279, 66089, 34457, 323, 279, 11084, 30116, 15771, 439, 12195, 315, 872, 76722, 7140, 13, 36283, 6751, 11, 1690, 1053, 39396, 279, 49179, 315, 21186, 14488, 11, 30116, 59951, 894, 323, 8761, 9515, 311, 8450, 279, 61238, 315, 264, 73820, 7140, 662, 4314, 26006, 1053, 64260, 459, 19411, 3363, 4676, 46338, 8853, 11, 70864, 11, 282, 4825, 11, 47679, 11, 8853, 11, 44866, 11, 323, 43654, 14393, 279, 16358, 16036, 2324, 13, 4452, 11, 4920, 279, 30103, 309, 11203, 279, 15206, 5990, 315, 2109, 58921, 19542, 11, 9977, 323, 1488, 339, 5990, 3118, 304, 279, 16036, 13918, 13, 763, 4040, 11, 279, 73289, 323, 15613, 1053, 3629, 14085, 304, 22169, 5304, 6975, 279, 409, 501, 25745, 4787, 369, 279, 80947, 16036, 44935, 388, 304, 1561, 4356, 16853, 16041, 398, 11, 5270, 32126, 279, 7852, 2065, 315, 1202, 30029, 2768, 13865, 311, 7417, 26206, 323, 30437, 9511, 7194, 13, 578, 4500, 5602, 17162, 7487, 6532, 304, 279, 33489, 7640, 20426, 304, 279, 3766, 9511, 88092, 17942, 662, 10541, 32644, 264, 15310, 36471, 369, 279, 4363, 23840, 311, 35608, 872, 4780, 11, 56501, 433, 1380, 11986, 1139, 16036, 12172, 11, 16472, 78504, 7187, 7410, 505, 279, 49989, 7931, 13, 1789, 420, 2944, 11, 279, 53952, 315, 41016, 32126, 304, 279, 16036, 9919, 81471, 64729, 311, 6900, 5190, 63090, 13, 53123, 11, 433, 38126, 1455, 41016, 67512, 304, 1561, 4356, 311, 58043, 77623, 1418, 20558, 449, 66281, 10037, 288, 311, 4933, 279, 506, 75441, 519, 63090, 16853, 35502, 311, 279, 16036, 14800, 4478, 11, 279, 3544, 9919, 20162, 12207, 311, 1651, 2101, 264, 8040, 15266, 19671, 13, 578, 342, 91354, 4325, 24411, 279, 9919, 315, 32489, 11, 10406, 11, 1561, 4356, 11, 323, 24899, 4315, 3885, 1139, 264, 7463, 315, 16036, 18251, 47479, 6332, 449, 99359, 5788, 323, 17452, 19169, 662, 578, 55307, 16036, 7187, 1053, 5387, 1124, 439, 11689, 9919, 56612, 311, 279, 22486, 36394, 315, 1455, 14016, 13, 578, 50549, 315, 502, 14645, 311, 12576, 8246, 323, 18386, 72849, 279, 14800, 323, 16036, 25032, 15947, 13, 97485, 11, 279, 30116, 14110, 304, 279, 15629, 3549, 37067, 14488, 21583, 682, 48013, 311, 279, 6156, 2626, 27536, 13, 578, 8040, 14054, 6197, 9214, 315, 46318, 3695, 51513, 1139, 279, 3363, 13, 35341, 661, 311, 279, 7720, 26617, 315, 279, 31357, 11, 279, 8009, 25366, 279, 93858, 26467, 323, 39436, 1113, 33100, 315, 279, 9919, 662, 1115, 79754, 16036, 2324, 1405, 832, 1053, 11550, 279, 1403, 69971, 315, 279, 32069, 342, 91354, 4325, 14110, 627, 791, 2010, 4930, 6650, 38126, 1455, 9919, 1139, 17832, 9293, 2391, 279, 4500, 315, 279, 14054, 13, 578, 2254, 17047, 1053, 19029, 37377, 279, 14800, 323, 39201, 4857, 10886, 11, 9564, 3927, 13707, 311, 27830, 28830, 8246, 12659, 18538, 389, 11626, 29217, 13, 1789, 3187, 11, 56035, 34716, 28830, 14769, 11, 8617, 279, 8246, 315, 85421, 99821, 388, 323, 5016, 1940, 4010, 1572, 662, 578, 84945, 7443, 7138, 3752, 4954, 14054, 26006, 17109, 27129, 311, 14201, 17626, 7631, 369, 27512, 30519, 323, 3600, 13, 30924, 8129, 18007, 11, 3363, 11062, 10534, 77623, 32116, 24084, 505, 8009, 34545, 315, 72217, 11, 19108, 14708, 323, 5868, 1303, 26964, 16853, 52555, 279, 7100, 323, 14054, 4500, 11, 279, 480, 91354, 13381, 73897, 5199, 4442, 4028, 279, 3674, 26436, 13, 59656, 11, 810, 9053, 11096, 279, 6278, 15144, 5496, 439, 814, 43603, 5370, 69792, 13, 1102, 10666, 264, 35947, 6237, 1405, 279, 264, 831, 417, 3864, 25366, 279, 24050, 48013, 11, 20426, 279, 13076, 3318, 323, 28994, 6989, 662, 4497, 1053, 9855, 16036, 5496, 67371, 311, 264, 11761, 7829, 16850, 14740, 315, 13018, 42832, 11, 12185, 24073, 311, 3278, 323, 15493, 311, 3070, 32947, 662, 578, 51157, 4500, 315, 279, 6873, 30676, 21190, 52880, 1392, 15107, 505, 3060, 10026, 13, 56733, 11, 279, 6492, 315, 1202, 61238, 1053, 16805, 264, 75055, 6237, 1405, 80153, 13443, 4028, 279, 3674, 5990, 13, 1789, 2937, 11, 2478, 505, 279, 19624, 5789, 1053, 52880, 304, 31252, 20426, 505, 279, 96531, 8582, 323, 6278, 6989, 16853, 791, 342, 91354, 4325, 4261, 21667, 279, 83104, 5452, 369, 10026, 5621, 9910, 13073, 1555, 6273, 10708, 369, 3278, 304, 6873, 13, 6104, 264, 2349, 311, 279, 30676, 21091, 304, 44552, 323, 25996, 14673, 21667, 28377, 315, 2225, 3697, 315, 264, 8821, 26436, 11, 2478, 3278, 33109, 505, 279, 31252, 13, 1102, 1053, 46113, 304, 279, 25679, 369, 13018, 488, 439, 2626, 323, 5054, 15771, 1051, 24073, 369, 3026, 11, 33264, 21948, 323, 10937, 13, 578, 586, 4947, 1053, 3010, 38967, 17189, 47819, 12659, 14932, 279, 23035, 315, 264, 8821, 26436, 449, 5361, 31343, 1778, 439, 5333, 8657, 48468, 11, 37276, 11218, 33792, 323, 1862, 369, 82072, 3051, 34775, 13, 1115, 28160, 279, 49179, 315, 264, 2204, 312, 18881, 315, 893, 49958, 505, 279, 96531, 25775, 11, 24589, 323, 29947, 5885, 662, 19173, 11, 279, 22281, 15180, 1920, 1053, 9504, 19347, 2768, 279, 49179, 315, 279, 35947, 25020, 323, 8485, 1207, 93113, 1439, 13, 4314, 1207, 93113, 1439, 24465, 43561, 287, 9647, 439, 814, 281, 11059, 20349, 311, 279, 45651, 315, 279, 312, 10365, 16036, 18251, 47479, 8396, 627, 8142, 279, 7859, 6278, 538, 323, 8582, 538, 1053, 4284, 23649, 6029, 315, 7100, 323, 3674, 5208, 11, 1455, 9919, 12882, 279, 8060, 311, 27208, 279, 16036, 19542, 304, 279, 97617, 35459, 33100, 13, 578, 17250, 311, 10150, 1695, 11983, 11, 9564, 279, 8857, 315, 16036, 7187, 22541, 311, 5899, 3808, 32971, 555, 85905, 4787, 11, 21667, 279, 38309, 2217, 26617, 315, 264, 73820, 7140, 662, 1789, 3187, 11, 279, 16036, 2065, 323, 31343, 1051, 1193, 38626, 304, 279, 18671, 5415, 11, 20426, 311, 279, 5945, 700, 5079, 39025, 449, 279, 1890, 6418, 5435, 662, 1102, 22763, 304, 279, 15629, 1555, 75904, 7962, 94140, 12659, 11, 1579, 5986, 2058, 2826, 5990, 11, 22171, 3640, 6873, 10396, 11, 323, 14740, 315, 1053, 15502, 4236, 627, 791, 7100, 6650, 323, 3674, 312, 18881, 27332, 304, 279, 342, 91354, 4325, 8881, 279, 43738, 13865, 311, 842, 64244, 323, 19739, 21934, 24059, 279, 68473, 11, 11904, 9053, 323, 20550, 662, 10541, 279, 16803, 10734, 3298, 1053, 7068, 264, 20858, 2403, 21934, 11, 1063, 1614, 44977, 7016, 79466, 958, 5730, 38132, 662, 578, 58096, 4676, 6244, 30576, 304, 279, 13814, 7301, 17864, 11, 4751, 287, 279, 19705, 315, 279, 16803, 10734, 3298, 53925, 311, 7931, 323, 5220, 13, 4427, 5415, 1053, 46113, 279, 17864, 1778, 439, 279, 8821, 55713, 304, 9784, 323, 44032, 315, 11904, 9053, 505, 279, 5054, 26436, 627, 791, 17118, 9053, 11838, 872, 99876, 311, 20550, 11, 8617, 19873, 3252, 42400, 315, 7100, 11, 5054, 11, 27052, 323, 5054, 17294, 13, 10541, 578, 37851, 288, 59316, 10231, 3298, 1053, 12576, 304, 8431, 4954, 279, 8396, 323, 3665, 279, 14875, 20550, 505, 21934, 323, 9349, 11, 433, 20025, 27332, 1202, 26470, 315, 3339, 279, 30507, 439, 659, 1355, 27781, 11, 11626, 36185, 11, 323, 3424, 17371, 662, 97485, 11, 279, 85274, 1392, 1903, 1234, 279, 3927, 4363, 12, 79247, 2068, 5602, 1790, 315, 279, 28767, 4363, 6216, 311, 19001, 388, 13, 763, 5369, 11, 279, 21765, 9770, 279, 44299, 30507, 32859, 872, 57937, 5496, 369, 3927, 2191, 12659, 16853, 8142, 279, 7852, 2065, 323, 13076, 2065, 28271, 24411, 279, 8752, 11, 279, 14247, 7187, 1053, 20025, 3449, 279, 9511, 17135, 30526, 304, 279, 19647, 13, 1102, 24465, 459, 19411, 5452, 369, 810, 20550, 46338, 3026, 11, 3278, 323, 2911, 11, 889, 25366, 279, 13918, 30801, 555, 38846, 3697, 315, 872, 21234, 662, 4452, 11, 1455, 7931, 16654, 505, 39413, 2585, 927, 872, 1317, 3318, 37869, 323, 32415, 24608, 369, 279, 3278, 323, 2911, 13, 31909, 279, 19602, 41264, 11, 1455, 9511, 388, 16654, 505, 990, 14228, 82907, 2737, 68132, 46313, 2191, 11, 69329, 323, 12782, 78396, 55189, 52236, 13, 1102, 21667, 264, 6996, 315, 45777, 4954, 27465, 7296, 1555, 14640, 11, 16472, 39436, 1113, 2890, 4787, 369, 279, 7487, 662, 1115, 20162, 311, 7319, 59357, 389, 27465, 7296, 7863, 311, 279, 7665, 17089, 627, 791, 18475, 315, 279, 8752, 1555, 7852, 2065, 11, 16036, 2065, 323, 7319, 7710, 31357, 11, 21667, 279, 26501, 315, 279, 220, 9674, 22, 12, 7028, 15, 11639, 13, 1115, 1053, 39201, 15266, 53779, 11, 3544, 9919, 11, 312, 9910, 10026, 13073, 323, 312, 10365, 6873, 30676, 13, 4452, 11, 1521, 53881, 3549, 264, 38309, 2217, 56612, 311, 279, 9622, 21078, 24923, 279, 33505, 13, 578, 19739, 7962, 35542, 11, 21934, 11, 10026, 1481, 72, 1503, 1323, 48137, 811, 11, 59357, 304, 49071, 287, 27465, 7296, 323, 4814, 315, 28767, 12098, 527, 4519, 387, 6410, 1303, 459, 13687, 4096, 315, 279, 480, 91354, 13381, 627, 12, 9084, 8148, 11, 10463, 11, 26035, 17472, 11, 8563, 91759, 88, 11, 323, 7957, 480, 494, 398, 13, 25274, 5270, 551, 362, 11346, 315, 279, 3723, 4273, 13, 220, 21, 13, 10406, 551, 468, 329, 61831, 25, 356, 85839, 21579, 11, 220, 679, 17, 627, 12, 10780, 13690, 41439, 11, 220, 1591, 5887, 220, 7529, 24, 627, 12, 1219, 13787, 11, 29793, 662, 1054, 14364, 2806, 315, 279, 75662, 52830, 2469, 2029, 24507, 220, 16551, 320, 5926, 16, 4390, 12, 7839, 23414, 11, 22653, 662, 7839, 23414, 279, 7904, 11, 5414, 15457, 320, 7529, 19, 26, 81571, 11, 800, 13, 7043, 25, 19461, 41143, 13581, 8612, 11, 220, 3753, 20, 705, 220, 2131, 4235, 1227, 627, 12, 435, 27674, 1174, 26241, 328, 13, 1174, 323, 39748, 445, 13, 21256, 13, 578, 5348, 34186, 13, 362, 99887, 11346, 505, 73848, 8691, 311, 279, 3118, 13, 220, 7529, 22, 13, 1050, 1374, 11, 19895, 25, 19176, 3907, 8612, 11, 220, 3753, 15, 627, 12, 24051, 1174, 30505, 662, 1054, 791, 52212, 788, 33512, 811, 304, 19174, 25, 88298, 30505, 24051, 7943, 385, 417, 279, 74132, 96880, 520, 279, 12268, 315, 279, 28200, 2029, 763, 18491, 5620, 279, 74132, 96880, 25, 578, 9648, 18843, 5814, 315, 30505, 24051, 11, 386, 920, 13, 10406, 25, 15013, 11, 10690, 323, 8351, 11, 220, 6393, 18, 13, 220, 8011, 12, 9390, 627, 12, 8270, 11, 8563, 662, 578, 36783, 12471, 5735, 323, 26581, 57147, 53751, 45231, 13, 220, 5926, 15, 13, 1050, 1374, 11, 33108, 25, 3907, 315, 7188, 8612, 11, 220, 3753, 18, 627, 12, 21670, 7876, 1174, 1901, 6347, 4275, 1604, 1174, 323, 1708, 467, 94045, 13, 1054, 791, 83852, 55383, 25, 1901, 6347, 4275, 1604, 21670, 7876, 753, 5629, 15457, 2029, 763, 3165, 3200, 25, 578, 1561, 57147, 662, 1561, 4356, 25, 362, 323, 356, 13789, 72, 11, 220, 5926, 20, 13, 220, 6550, 12, 5037, 627, 12, 52830, 285, 11, 25537, 362, 13, 2650, 279, 7089, 26924, 40495, 25, 19241, 22395, 279, 18165, 3808, 315, 1561, 4356, 13, 220, 9378, 15, 13, 1050, 1374, 11, 1561, 4356, 25, 87926, 62770, 11, 220, 4468, 16, 627, 10438, 499, 733, 11, 499, 527, 18719, 311, 1862, 264, 35482, 5353, 389, 77439, 11087, 11087, 25, 128001 ]
[ -100, 10445, 3234, 22425, 5493, 7290, 420, 26572, 1054, 791, 480, 91354, 13381, 74022, 2209, 433, 459, 11683, 62259, 7817, 5380, 791, 4124, 315, 5905, 12673, 311, 279, 14841, 315, 1667, 505, 220, 9714, 20, 311, 220, 7028, 15, 439, 3451, 791, 480, 91354, 13381, 23189, 24897, 264, 7479, 30103, 309, 1405, 264, 6761, 41394, 3289, 50441, 264, 12136, 9501, 30456, 13, 578, 42535, 369, 279, 342, 91354, 4325, 2440, 41095, 279, 11295, 4500, 323, 14800, 315, 279, 8752, 11, 502, 14645, 11, 46835, 315, 12205, 11, 323, 279, 25329, 315, 7191, 2410, 24059, 279, 24084, 35490, 13, 4452, 11, 3770, 279, 16358, 7479, 11203, 279, 50446, 10534, 555, 13076, 7487, 323, 279, 27129, 13176, 279, 22277, 323, 19739, 40804, 662, 35341, 661, 311, 279, 19411, 10708, 323, 16036, 4500, 32126, 24059, 279, 47361, 44935, 388, 11, 279, 89513, 59355, 21667, 80947, 11062, 16066, 505, 7319, 3674, 323, 7100, 23965, 627, 8607, 9053, 3312, 660, 279, 90669, 9919, 2391, 279, 66089, 34457, 323, 279, 11084, 30116, 15771, 439, 12195, 315, 872, 76722, 7140, 13, 36283, 6751, 11, 1690, 1053, 39396, 279, 49179, 315, 21186, 14488, 11, 30116, 59951, 894, 323, 8761, 9515, 311, 8450, 279, 61238, 315, 264, 73820, 7140, 662, 4314, 26006, 1053, 64260, 459, 19411, 3363, 4676, 46338, 8853, 11, 70864, 11, 282, 4825, 11, 47679, 11, 8853, 11, 44866, 11, 323, 43654, 14393, 279, 16358, 16036, 2324, 13, 4452, 11, 4920, 279, 30103, 309, 11203, 279, 15206, 5990, 315, 2109, 58921, 19542, 11, 9977, 323, 1488, 339, 5990, 3118, 304, 279, 16036, 13918, 13, 763, 4040, 11, 279, 73289, 323, 15613, 1053, 3629, 14085, 304, 22169, 5304, 6975, 279, 409, 501, 25745, 4787, 369, 279, 80947, 16036, 44935, 388, 304, 1561, 4356, 16853, 16041, 398, 11, 5270, 32126, 279, 7852, 2065, 315, 1202, 30029, 2768, 13865, 311, 7417, 26206, 323, 30437, 9511, 7194, 13, 578, 4500, 5602, 17162, 7487, 6532, 304, 279, 33489, 7640, 20426, 304, 279, 3766, 9511, 88092, 17942, 662, 10541, 32644, 264, 15310, 36471, 369, 279, 4363, 23840, 311, 35608, 872, 4780, 11, 56501, 433, 1380, 11986, 1139, 16036, 12172, 11, 16472, 78504, 7187, 7410, 505, 279, 49989, 7931, 13, 1789, 420, 2944, 11, 279, 53952, 315, 41016, 32126, 304, 279, 16036, 9919, 81471, 64729, 311, 6900, 5190, 63090, 13, 53123, 11, 433, 38126, 1455, 41016, 67512, 304, 1561, 4356, 311, 58043, 77623, 1418, 20558, 449, 66281, 10037, 288, 311, 4933, 279, 506, 75441, 519, 63090, 16853, 35502, 311, 279, 16036, 14800, 4478, 11, 279, 3544, 9919, 20162, 12207, 311, 1651, 2101, 264, 8040, 15266, 19671, 13, 578, 342, 91354, 4325, 24411, 279, 9919, 315, 32489, 11, 10406, 11, 1561, 4356, 11, 323, 24899, 4315, 3885, 1139, 264, 7463, 315, 16036, 18251, 47479, 6332, 449, 99359, 5788, 323, 17452, 19169, 662, 578, 55307, 16036, 7187, 1053, 5387, 1124, 439, 11689, 9919, 56612, 311, 279, 22486, 36394, 315, 1455, 14016, 13, 578, 50549, 315, 502, 14645, 311, 12576, 8246, 323, 18386, 72849, 279, 14800, 323, 16036, 25032, 15947, 13, 97485, 11, 279, 30116, 14110, 304, 279, 15629, 3549, 37067, 14488, 21583, 682, 48013, 311, 279, 6156, 2626, 27536, 13, 578, 8040, 14054, 6197, 9214, 315, 46318, 3695, 51513, 1139, 279, 3363, 13, 35341, 661, 311, 279, 7720, 26617, 315, 279, 31357, 11, 279, 8009, 25366, 279, 93858, 26467, 323, 39436, 1113, 33100, 315, 279, 9919, 662, 1115, 79754, 16036, 2324, 1405, 832, 1053, 11550, 279, 1403, 69971, 315, 279, 32069, 342, 91354, 4325, 14110, 627, 791, 2010, 4930, 6650, 38126, 1455, 9919, 1139, 17832, 9293, 2391, 279, 4500, 315, 279, 14054, 13, 578, 2254, 17047, 1053, 19029, 37377, 279, 14800, 323, 39201, 4857, 10886, 11, 9564, 3927, 13707, 311, 27830, 28830, 8246, 12659, 18538, 389, 11626, 29217, 13, 1789, 3187, 11, 56035, 34716, 28830, 14769, 11, 8617, 279, 8246, 315, 85421, 99821, 388, 323, 5016, 1940, 4010, 1572, 662, 578, 84945, 7443, 7138, 3752, 4954, 14054, 26006, 17109, 27129, 311, 14201, 17626, 7631, 369, 27512, 30519, 323, 3600, 13, 30924, 8129, 18007, 11, 3363, 11062, 10534, 77623, 32116, 24084, 505, 8009, 34545, 315, 72217, 11, 19108, 14708, 323, 5868, 1303, 26964, 16853, 52555, 279, 7100, 323, 14054, 4500, 11, 279, 480, 91354, 13381, 73897, 5199, 4442, 4028, 279, 3674, 26436, 13, 59656, 11, 810, 9053, 11096, 279, 6278, 15144, 5496, 439, 814, 43603, 5370, 69792, 13, 1102, 10666, 264, 35947, 6237, 1405, 279, 264, 831, 417, 3864, 25366, 279, 24050, 48013, 11, 20426, 279, 13076, 3318, 323, 28994, 6989, 662, 4497, 1053, 9855, 16036, 5496, 67371, 311, 264, 11761, 7829, 16850, 14740, 315, 13018, 42832, 11, 12185, 24073, 311, 3278, 323, 15493, 311, 3070, 32947, 662, 578, 51157, 4500, 315, 279, 6873, 30676, 21190, 52880, 1392, 15107, 505, 3060, 10026, 13, 56733, 11, 279, 6492, 315, 1202, 61238, 1053, 16805, 264, 75055, 6237, 1405, 80153, 13443, 4028, 279, 3674, 5990, 13, 1789, 2937, 11, 2478, 505, 279, 19624, 5789, 1053, 52880, 304, 31252, 20426, 505, 279, 96531, 8582, 323, 6278, 6989, 16853, 791, 342, 91354, 4325, 4261, 21667, 279, 83104, 5452, 369, 10026, 5621, 9910, 13073, 1555, 6273, 10708, 369, 3278, 304, 6873, 13, 6104, 264, 2349, 311, 279, 30676, 21091, 304, 44552, 323, 25996, 14673, 21667, 28377, 315, 2225, 3697, 315, 264, 8821, 26436, 11, 2478, 3278, 33109, 505, 279, 31252, 13, 1102, 1053, 46113, 304, 279, 25679, 369, 13018, 488, 439, 2626, 323, 5054, 15771, 1051, 24073, 369, 3026, 11, 33264, 21948, 323, 10937, 13, 578, 586, 4947, 1053, 3010, 38967, 17189, 47819, 12659, 14932, 279, 23035, 315, 264, 8821, 26436, 449, 5361, 31343, 1778, 439, 5333, 8657, 48468, 11, 37276, 11218, 33792, 323, 1862, 369, 82072, 3051, 34775, 13, 1115, 28160, 279, 49179, 315, 264, 2204, 312, 18881, 315, 893, 49958, 505, 279, 96531, 25775, 11, 24589, 323, 29947, 5885, 662, 19173, 11, 279, 22281, 15180, 1920, 1053, 9504, 19347, 2768, 279, 49179, 315, 279, 35947, 25020, 323, 8485, 1207, 93113, 1439, 13, 4314, 1207, 93113, 1439, 24465, 43561, 287, 9647, 439, 814, 281, 11059, 20349, 311, 279, 45651, 315, 279, 312, 10365, 16036, 18251, 47479, 8396, 627, 8142, 279, 7859, 6278, 538, 323, 8582, 538, 1053, 4284, 23649, 6029, 315, 7100, 323, 3674, 5208, 11, 1455, 9919, 12882, 279, 8060, 311, 27208, 279, 16036, 19542, 304, 279, 97617, 35459, 33100, 13, 578, 17250, 311, 10150, 1695, 11983, 11, 9564, 279, 8857, 315, 16036, 7187, 22541, 311, 5899, 3808, 32971, 555, 85905, 4787, 11, 21667, 279, 38309, 2217, 26617, 315, 264, 73820, 7140, 662, 1789, 3187, 11, 279, 16036, 2065, 323, 31343, 1051, 1193, 38626, 304, 279, 18671, 5415, 11, 20426, 311, 279, 5945, 700, 5079, 39025, 449, 279, 1890, 6418, 5435, 662, 1102, 22763, 304, 279, 15629, 1555, 75904, 7962, 94140, 12659, 11, 1579, 5986, 2058, 2826, 5990, 11, 22171, 3640, 6873, 10396, 11, 323, 14740, 315, 1053, 15502, 4236, 627, 791, 7100, 6650, 323, 3674, 312, 18881, 27332, 304, 279, 342, 91354, 4325, 8881, 279, 43738, 13865, 311, 842, 64244, 323, 19739, 21934, 24059, 279, 68473, 11, 11904, 9053, 323, 20550, 662, 10541, 279, 16803, 10734, 3298, 1053, 7068, 264, 20858, 2403, 21934, 11, 1063, 1614, 44977, 7016, 79466, 958, 5730, 38132, 662, 578, 58096, 4676, 6244, 30576, 304, 279, 13814, 7301, 17864, 11, 4751, 287, 279, 19705, 315, 279, 16803, 10734, 3298, 53925, 311, 7931, 323, 5220, 13, 4427, 5415, 1053, 46113, 279, 17864, 1778, 439, 279, 8821, 55713, 304, 9784, 323, 44032, 315, 11904, 9053, 505, 279, 5054, 26436, 627, 791, 17118, 9053, 11838, 872, 99876, 311, 20550, 11, 8617, 19873, 3252, 42400, 315, 7100, 11, 5054, 11, 27052, 323, 5054, 17294, 13, 10541, 578, 37851, 288, 59316, 10231, 3298, 1053, 12576, 304, 8431, 4954, 279, 8396, 323, 3665, 279, 14875, 20550, 505, 21934, 323, 9349, 11, 433, 20025, 27332, 1202, 26470, 315, 3339, 279, 30507, 439, 659, 1355, 27781, 11, 11626, 36185, 11, 323, 3424, 17371, 662, 97485, 11, 279, 85274, 1392, 1903, 1234, 279, 3927, 4363, 12, 79247, 2068, 5602, 1790, 315, 279, 28767, 4363, 6216, 311, 19001, 388, 13, 763, 5369, 11, 279, 21765, 9770, 279, 44299, 30507, 32859, 872, 57937, 5496, 369, 3927, 2191, 12659, 16853, 8142, 279, 7852, 2065, 323, 13076, 2065, 28271, 24411, 279, 8752, 11, 279, 14247, 7187, 1053, 20025, 3449, 279, 9511, 17135, 30526, 304, 279, 19647, 13, 1102, 24465, 459, 19411, 5452, 369, 810, 20550, 46338, 3026, 11, 3278, 323, 2911, 11, 889, 25366, 279, 13918, 30801, 555, 38846, 3697, 315, 872, 21234, 662, 4452, 11, 1455, 7931, 16654, 505, 39413, 2585, 927, 872, 1317, 3318, 37869, 323, 32415, 24608, 369, 279, 3278, 323, 2911, 13, 31909, 279, 19602, 41264, 11, 1455, 9511, 388, 16654, 505, 990, 14228, 82907, 2737, 68132, 46313, 2191, 11, 69329, 323, 12782, 78396, 55189, 52236, 13, 1102, 21667, 264, 6996, 315, 45777, 4954, 27465, 7296, 1555, 14640, 11, 16472, 39436, 1113, 2890, 4787, 369, 279, 7487, 662, 1115, 20162, 311, 7319, 59357, 389, 27465, 7296, 7863, 311, 279, 7665, 17089, 627, 791, 18475, 315, 279, 8752, 1555, 7852, 2065, 11, 16036, 2065, 323, 7319, 7710, 31357, 11, 21667, 279, 26501, 315, 279, 220, 9674, 22, 12, 7028, 15, 11639, 13, 1115, 1053, 39201, 15266, 53779, 11, 3544, 9919, 11, 312, 9910, 10026, 13073, 323, 312, 10365, 6873, 30676, 13, 4452, 11, 1521, 53881, 3549, 264, 38309, 2217, 56612, 311, 279, 9622, 21078, 24923, 279, 33505, 13, 578, 19739, 7962, 35542, 11, 21934, 11, 10026, 1481, 72, 1503, 1323, 48137, 811, 11, 59357, 304, 49071, 287, 27465, 7296, 323, 4814, 315, 28767, 12098, 527, 4519, 387, 6410, 1303, 459, 13687, 4096, 315, 279, 480, 91354, 13381, 627, 12, 9084, 8148, 11, 10463, 11, 26035, 17472, 11, 8563, 91759, 88, 11, 323, 7957, 480, 494, 398, 13, 25274, 5270, 551, 362, 11346, 315, 279, 3723, 4273, 13, 220, 21, 13, 10406, 551, 468, 329, 61831, 25, 356, 85839, 21579, 11, 220, 679, 17, 627, 12, 10780, 13690, 41439, 11, 220, 1591, 5887, 220, 7529, 24, 627, 12, 1219, 13787, 11, 29793, 662, 1054, 14364, 2806, 315, 279, 75662, 52830, 2469, 2029, 24507, 220, 16551, 320, 5926, 16, 4390, 12, 7839, 23414, 11, 22653, 662, 7839, 23414, 279, 7904, 11, 5414, 15457, 320, 7529, 19, 26, 81571, 11, 800, 13, 7043, 25, 19461, 41143, 13581, 8612, 11, 220, 3753, 20, 705, 220, 2131, 4235, 1227, 627, 12, 435, 27674, 1174, 26241, 328, 13, 1174, 323, 39748, 445, 13, 21256, 13, 578, 5348, 34186, 13, 362, 99887, 11346, 505, 73848, 8691, 311, 279, 3118, 13, 220, 7529, 22, 13, 1050, 1374, 11, 19895, 25, 19176, 3907, 8612, 11, 220, 3753, 15, 627, 12, 24051, 1174, 30505, 662, 1054, 791, 52212, 788, 33512, 811, 304, 19174, 25, 88298, 30505, 24051, 7943, 385, 417, 279, 74132, 96880, 520, 279, 12268, 315, 279, 28200, 2029, 763, 18491, 5620, 279, 74132, 96880, 25, 578, 9648, 18843, 5814, 315, 30505, 24051, 11, 386, 920, 13, 10406, 25, 15013, 11, 10690, 323, 8351, 11, 220, 6393, 18, 13, 220, 8011, 12, 9390, 627, 12, 8270, 11, 8563, 662, 578, 36783, 12471, 5735, 323, 26581, 57147, 53751, 45231, 13, 220, 5926, 15, 13, 1050, 1374, 11, 33108, 25, 3907, 315, 7188, 8612, 11, 220, 3753, 18, 627, 12, 21670, 7876, 1174, 1901, 6347, 4275, 1604, 1174, 323, 1708, 467, 94045, 13, 1054, 791, 83852, 55383, 25, 1901, 6347, 4275, 1604, 21670, 7876, 753, 5629, 15457, 2029, 763, 3165, 3200, 25, 578, 1561, 57147, 662, 1561, 4356, 25, 362, 323, 356, 13789, 72, 11, 220, 5926, 20, 13, 220, 6550, 12, 5037, 627, 12, 52830, 285, 11, 25537, 362, 13, 2650, 279, 7089, 26924, 40495, 25, 19241, 22395, 279, 18165, 3808, 315, 1561, 4356, 13, 220, 9378, 15, 13, 1050, 1374, 11, 1561, 4356, 25, 87926, 62770, 11, 220, 4468, 16, 627, 10438, 499, 733, 11, 499, 527, 18719, 311, 1862, 264, 35482, 5353, 389, 77439, 11087, 11087, 25, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943 ]
[ 128000, 14336, 21471, 5493, 315, 279, 20238, 11119, 13, 220, 17, 529, 11697, 279, 60713, 3475, 70189, 18607, 315, 5884, 22883, 14270, 198, 2323, 23061, 17150, 1541, 1431, 2744, 30357, 7168, 279, 4367, 315, 264, 5818, 2001, 27805, 348, 13, 38809, 18307, 2751, 264, 11509, 25568, 367, 2391, 1202, 1296, 23061, 11, 902, 5828, 1431, 7041, 64005, 315, 30994, 529, 25481, 3131, 279, 5818, 85170, 13, 2030, 62831, 315, 279, 20238, 11119, 13, 220, 17, 706, 27332, 459, 1524, 11493, 12627, 25, 264, 70665, 4832, 220, 1041, 5573, 1306, 7649, 30994, 11, 279, 8592, 315, 904, 22883, 5818, 311, 2457, 627, 11439, 311, 578, 17681, 48081, 11, 62831, 220, 17, 18333, 4129, 279, 12483, 315, 2225, 16979, 2418, 220, 18, 323, 578, 44197, 11, 902, 1047, 12483, 304, 279, 1579, 220, 1954, 82, 11, 323, 374, 279, 1193, 22883, 5818, 311, 636, 264, 4832, 5573, 13, 14077, 11, 420, 4536, 1431, 14647, 64005, 315, 1202, 4367, 11, 719, 433, 753, 1101, 539, 430, 15206, 13, 578, 1176, 574, 264, 2869, 74909, 13734, 698, 12351, 11, 1384, 1003, 304, 79866, 10753, 323, 11670, 7091, 13280, 323, 1778, 264, 10788, 594, 6100, 505, 279, 1925, 44197, 51728, 430, 433, 574, 6965, 311, 387, 264, 2450, 13, 5659, 1148, 584, 4070, 3970, 304, 279, 50805, 369, 279, 1828, 832, 11, 433, 5992, 1093, 810, 315, 279, 1890, 11230, 15150, 439, 279, 1176, 627, 3947, 374, 264, 2766, 315, 264, 2339, 11, 3582, 13, 22883, 74198, 1296, 84606, 10284, 22009, 505, 1023, 5220, 25, 4619, 315, 23738, 264, 59213, 315, 4288, 1274, 11, 279, 14356, 706, 1148, 433, 6880, 1054, 30562, 323, 8689, 863, 84606, 315, 1274, 3345, 311, 279, 2883, 5196, 11, 902, 13912, 904, 24237, 97767, 2038, 505, 3794, 704, 311, 279, 4689, 586, 13, 2030, 420, 1101, 3445, 430, 872, 9698, 529, 12483, 649, 1431, 2216, 387, 7863, 311, 279, 12483, 315, 1023, 9698, 430, 3539, 264, 810, 4288, 23061, 1920, 11, 1193, 1202, 1866, 13, 16782, 11, 433, 753, 459, 16358, 61238, 311, 539, 1193, 617, 31394, 279, 1403, 8592, 55985, 11, 719, 17454, 264, 4832, 5573, 627, 21471, 5493, 315, 279, 20238, 11119, 13, 220, 17, 13280, 44866, 389, 3297, 220, 20, 13, 128001, 128000, 28573, 279, 2768, 11914, 311, 8753, 512, 791, 12208, 30450, 22556, 13076, 4500, 18629, 690, 1101, 1514, 264, 3682, 3560, 304, 279, 25985, 367, 315, 459, 8475, 12434, 4947, 12914, 11, 2737, 22281, 259, 1036, 727, 3369, 57167, 32643, 10886, 627, 2356, 18629, 409, 82620, 9047, 22811, 91329, 1640, 81235, 27220, 91878, 64, 44767, 48488, 3869, 326, 6, 19010, 4422, 367, 294, 31109, 79036, 50026, 40280, 1604, 10737, 8047, 27389, 80897, 519, 81186, 951, 7617, 288, 4287, 4893, 5019, 514, 312, 15769, 294, 48968, 12249, 31807, 307, 84, 17724, 1370, 3625, 259, 1036, 4804, 13, 128001, 128000, 11356, 2643, 387, 7154, 927, 11, 4869, 5165, 507, 5455, 89766, 10934, 19961, 22020, 264, 5426, 2890, 4360, 430, 22223, 810, 1109, 220, 1135, 3610, 9053, 13, 507, 5455, 89766, 10934, 374, 264, 17685, 8624, 430, 13980, 994, 279, 2547, 1587, 539, 1304, 3403, 17685, 11, 477, 994, 279, 2547, 33291, 2288, 1790, 315, 433, 13, 4314, 4819, 649, 1101, 3621, 25291, 627, 11439, 311, 279, 5165, 507, 5455, 89766, 10934, 5114, 11, 1054, 791, 8624, 11384, 459, 13240, 1403, 3610, 11102, 25896, 1475, 1060, 49216, 8140, 25896, 527, 264, 5496, 11, 7982, 47120, 1903, 315, 71313, 11, 477, 279, 13128, 430, 5825, 279, 14054, 323, 35719, 11, 902, 5825, 279, 48513, 4519, 13, 5751, 13162, 3136, 311, 1893, 502, 17685, 439, 584, 9229, 2362, 17685, 11, 4869, 1070, 527, 264, 8205, 315, 19433, 323, 34625, 11709, 11, 6593, 16346, 323, 1023, 2890, 4787, 430, 649, 5536, 3508, 477, 539, 584, 3207, 7231, 1057, 13162, 1148, 433, 3966, 311, 2567, 1057, 25896, 3831, 323, 9498, 627, 39314, 11, 1505, 264, 1396, 315, 47735, 5070, 9, 311, 1520, 8641, 499, 323, 701, 3070, 9017, 23669, 17685, 2890, 11, 902, 649, 387, 25819, 1317, 1306, 5165, 507, 5455, 89766, 10934, 19961, 45537, 627, 32, 1695, 2035, 311, 8895, 264, 2731, 8830, 315, 507, 5455, 89766, 10934, 374, 449, 578, 5165, 507, 5455, 89766, 10934, 5114, 320, 9173, 37, 1237, 459, 7471, 430, 706, 1027, 12514, 311, 279, 17985, 323, 27344, 315, 279, 8624, 369, 810, 1109, 220, 966, 1667, 13, 5782, 37, 6209, 264, 12205, 315, 6677, 389, 27252, 17685, 78332, 11, 2737, 512, 12, 14967, 52368, 89766, 10934, 13363, 198, 12, 3639, 311, 8343, 369, 23669, 17685, 2890, 198, 12, 91554, 832, 649, 656, 15870, 311, 20259, 25896, 198, 12, 2650, 311, 19570, 449, 701, 28378, 922, 17685, 2890, 323, 507, 5455, 89766, 10934, 10742, 198, 50674, 11, 369, 13016, 315, 420, 5117, 1772, 889, 1541, 1431, 3686, 1440, 1790, 922, 3400, 13737, 57, 320, 9210, 753, 603, 49743, 584, 527, 264, 35719, 323, 28170, 423, 17138, 22822, 430, 649, 1862, 701, 35719, 3966, 13, 5659, 264, 34625, 13356, 11, 499, 1253, 1505, 1057, 3293, 8158, 555, 1057, 26677, 380, 72716, 54658, 11190, 13, 2435, 2997, 512, 12, 578, 12939, 315, 35719, 304, 6980, 320, 32158, 1524, 5825, 264, 10585, 22658, 11113, 648, 11363, 311, 1456, 340, 12, 578, 1948, 2307, 96420, 3278, 927, 220, 1135, 1288, 387, 12459, 320, 16564, 55575, 11, 902, 374, 459, 9250, 2592, 315, 35719, 340, 12, 6401, 15174, 369, 16643, 25896, 11, 810, 4907, 323, 2731, 6212, 198, 1966, 264, 4528, 5296, 11, 52368, 89766, 10934, 4536, 1431, 1120, 264, 4747, 369, 9191, 3278, 719, 369, 97743, 439, 1664, 13, 763, 420, 1772, 11, 1373, 389, 311, 4048, 922, 3339, 35719, 1054, 451, 981, 1220, 863, 1603, 279, 4325, 315, 220, 966, 374, 4528, 311, 3339, 5912, 22538, 311, 264, 19523, 2759, 627, 6869, 5079, 323, 23579, 1288, 1101, 387, 8010, 430, 814, 1253, 387, 520, 5326, 369, 11469, 507, 5455, 89766, 10934, 11, 439, 35719, 649, 387, 5675, 1555, 28566, 11, 5423, 422, 264, 4967, 14348, 374, 1317, 323, 47999, 320, 4908, 20646, 369, 264, 45796, 570, 763, 420, 1162, 11, 1817, 704, 420, 1772, 369, 279, 1948, 2307, 96420, 311, 33435, 1139, 15496, 9293, 1418, 4967, 627, 47, 40381, 519, 323, 5255, 28456, 30, 7557, 2771, 499, 3207, 3794, 3403, 35719, 369, 279, 4553, 3070, 13, 1115, 1772, 8779, 311, 10552, 627, 9, 791, 3400, 13737, 57, 2128, 2744, 40912, 31831, 701, 28378, 449, 904, 2890, 4860, 13, 128001, 128000, 6626, 3131, 271, 1085, 330, 9790, 870, 1875, 1085, 366, 17717, 1363, 1058, 4076, 9790, 551, 586, 16783, 341, 898, 512, 22002, 9790, 5305, 487, 928, 836, 8, 551, 97650, 3232, 8, 10294, 6878, 487, 928, 20917, 368, 314, 471, 97650, 26, 557, 9752, 742, 1194, 5305, 487, 7772, 5, 704, 8, 738, 2882, 314, 704, 1134, 97650, 26, 557, 2039, 512, 6878, 487, 928, 97650, 280, 2368, 5399, 1487, 487, 6228, 4446, 27, 678, 9790, 29, 4076, 9790, 4695, 280, 128001, 128000, 791, 50120, 328, 9491, 48338, 902, 21501, 279, 328, 9491, 6725, 304, 682, 56043, 315, 8013, 6890, 574, 5946, 389, 6790, 220, 19, 11, 220, 10828, 24, 555, 279, 1243, 24245, 59082, 10425, 12656, 41614, 258, 377, 627, 791, 19812, 7633, 279, 6725, 315, 328, 9491, 439, 5891, 337, 1303, 311, 279, 16024, 315, 3823, 7138, 627, 15546, 374, 264, 328, 9491, 323, 1148, 374, 328, 9491, 2587, 5380, 50, 9491, 11, 1101, 68918, 439, 328, 332, 6684, 11, 374, 264, 6725, 4315, 36142, 10977, 1405, 264, 6051, 9923, 13111, 5333, 11, 3060, 54523, 477, 555, 5457, 11, 4998, 337, 988, 11937, 389, 1077, 43720, 10177, 596, 4611, 265, 627, 791, 5333, 889, 4998, 337, 988, 11937, 374, 11, 16472, 11, 2663, 264, 328, 9491, 902, 374, 1101, 33398, 439, 264, 364, 331, 5642, 5333, 6, 477, 264, 364, 19045, 323, 29329, 7555, 24482, 3947, 617, 1027, 1690, 13422, 315, 1268, 279, 9923, 4336, 1051, 559, 39090, 304, 6890, 323, 9093, 11, 279, 1193, 6425, 369, 264, 2324, 2085, 10177, 574, 311, 6725, 328, 9491, 439, 433, 574, 6646, 311, 387, 279, 8592, 7645, 315, 289, 333, 989, 56357, 311, 264, 5710, 10177, 627, 8538, 32415, 22015, 13363, 389, 279, 328, 9491, 6725, 512, 84152, 304, 3331, 33025, 323, 9303, 23298, 30, 9369, 1618, 311, 4822, 16369, 323, 1440, 1148, 374, 12765, 2212, 279, 1917, 449, 1057, 480, 11606, 13, 323, 9303, 23298, 3857, 128001, 128000, 2118, 34748, 63210, 2643, 387, 16075, 304, 279, 3451, 2031, 82, 11, 719, 814, 1304, 433, 5222, 1093, 279, 1888, 2035, 389, 9578, 2476, 6267, 9538, 11244, 969, 11, 34988, 279, 7200, 753, 220, 1049, 21, 8176, 578, 70544, 315, 13000, 33512, 276, 700, 13, 423, 1923, 7833, 13, 1628, 912, 5609, 389, 279, 8176, 5334, 757, 311, 430, 2035, 10819, 1109, 279, 58367, 59831, 1054, 75120, 73872, 2476, 21682, 832, 315, 279, 1888, 11936, 315, 279, 220, 1049, 15, 82, 555, 46048, 14637, 13, 578, 10043, 22253, 1584, 323, 55063, 11, 8537, 44353, 18249, 552, 1304, 420, 2294, 5754, 4731, 11, 719, 433, 753, 1101, 264, 4832, 2503, 29883, 53246, 25520, 74, 9976, 12, 13295, 26306, 13, 358, 1541, 1431, 1440, 1148, 279, 5609, 753, 220, 777, 339, 34457, 6606, 8511, 388, 1047, 304, 4059, 994, 814, 1051, 4857, 1884, 15316, 505, 76396, 323, 9998, 11, 719, 358, 3021, 430, 358, 649, 21818, 389, 264, 6857, 315, 44101, 323, 733, 1070, 904, 13658, 358, 7070, 1093, 627, 29923, 311, 7079, 264, 3839, 30, 8463, 24748, 31, 1820, 60435, 8322, 916, 13, 128001 ]
[ -100, 14336, 21471, 5493, 315, 279, 20238, 11119, 13, 220, 17, 529, 11697, 279, 60713, 3475, 70189, 18607, 315, 5884, 22883, 14270, 198, 2323, 23061, 17150, 1541, 1431, 2744, 30357, 7168, 279, 4367, 315, 264, 5818, 2001, 27805, 348, 13, 38809, 18307, 2751, 264, 11509, 25568, 367, 2391, 1202, 1296, 23061, 11, 902, 5828, 1431, 7041, 64005, 315, 30994, 529, 25481, 3131, 279, 5818, 85170, 13, 2030, 62831, 315, 279, 20238, 11119, 13, 220, 17, 706, 27332, 459, 1524, 11493, 12627, 25, 264, 70665, 4832, 220, 1041, 5573, 1306, 7649, 30994, 11, 279, 8592, 315, 904, 22883, 5818, 311, 2457, 627, 11439, 311, 578, 17681, 48081, 11, 62831, 220, 17, 18333, 4129, 279, 12483, 315, 2225, 16979, 2418, 220, 18, 323, 578, 44197, 11, 902, 1047, 12483, 304, 279, 1579, 220, 1954, 82, 11, 323, 374, 279, 1193, 22883, 5818, 311, 636, 264, 4832, 5573, 13, 14077, 11, 420, 4536, 1431, 14647, 64005, 315, 1202, 4367, 11, 719, 433, 753, 1101, 539, 430, 15206, 13, 578, 1176, 574, 264, 2869, 74909, 13734, 698, 12351, 11, 1384, 1003, 304, 79866, 10753, 323, 11670, 7091, 13280, 323, 1778, 264, 10788, 594, 6100, 505, 279, 1925, 44197, 51728, 430, 433, 574, 6965, 311, 387, 264, 2450, 13, 5659, 1148, 584, 4070, 3970, 304, 279, 50805, 369, 279, 1828, 832, 11, 433, 5992, 1093, 810, 315, 279, 1890, 11230, 15150, 439, 279, 1176, 627, 3947, 374, 264, 2766, 315, 264, 2339, 11, 3582, 13, 22883, 74198, 1296, 84606, 10284, 22009, 505, 1023, 5220, 25, 4619, 315, 23738, 264, 59213, 315, 4288, 1274, 11, 279, 14356, 706, 1148, 433, 6880, 1054, 30562, 323, 8689, 863, 84606, 315, 1274, 3345, 311, 279, 2883, 5196, 11, 902, 13912, 904, 24237, 97767, 2038, 505, 3794, 704, 311, 279, 4689, 586, 13, 2030, 420, 1101, 3445, 430, 872, 9698, 529, 12483, 649, 1431, 2216, 387, 7863, 311, 279, 12483, 315, 1023, 9698, 430, 3539, 264, 810, 4288, 23061, 1920, 11, 1193, 1202, 1866, 13, 16782, 11, 433, 753, 459, 16358, 61238, 311, 539, 1193, 617, 31394, 279, 1403, 8592, 55985, 11, 719, 17454, 264, 4832, 5573, 627, 21471, 5493, 315, 279, 20238, 11119, 13, 220, 17, 13280, 44866, 389, 3297, 220, 20, 13, 128001, -100, 28573, 279, 2768, 11914, 311, 8753, 512, 791, 12208, 30450, 22556, 13076, 4500, 18629, 690, 1101, 1514, 264, 3682, 3560, 304, 279, 25985, 367, 315, 459, 8475, 12434, 4947, 12914, 11, 2737, 22281, 259, 1036, 727, 3369, 57167, 32643, 10886, 627, 2356, 18629, 409, 82620, 9047, 22811, 91329, 1640, 81235, 27220, 91878, 64, 44767, 48488, 3869, 326, 6, 19010, 4422, 367, 294, 31109, 79036, 50026, 40280, 1604, 10737, 8047, 27389, 80897, 519, 81186, 951, 7617, 288, 4287, 4893, 5019, 514, 312, 15769, 294, 48968, 12249, 31807, 307, 84, 17724, 1370, 3625, 259, 1036, 4804, 13, 128001, -100, 11356, 2643, 387, 7154, 927, 11, 4869, 5165, 507, 5455, 89766, 10934, 19961, 22020, 264, 5426, 2890, 4360, 430, 22223, 810, 1109, 220, 1135, 3610, 9053, 13, 507, 5455, 89766, 10934, 374, 264, 17685, 8624, 430, 13980, 994, 279, 2547, 1587, 539, 1304, 3403, 17685, 11, 477, 994, 279, 2547, 33291, 2288, 1790, 315, 433, 13, 4314, 4819, 649, 1101, 3621, 25291, 627, 11439, 311, 279, 5165, 507, 5455, 89766, 10934, 5114, 11, 1054, 791, 8624, 11384, 459, 13240, 1403, 3610, 11102, 25896, 1475, 1060, 49216, 8140, 25896, 527, 264, 5496, 11, 7982, 47120, 1903, 315, 71313, 11, 477, 279, 13128, 430, 5825, 279, 14054, 323, 35719, 11, 902, 5825, 279, 48513, 4519, 13, 5751, 13162, 3136, 311, 1893, 502, 17685, 439, 584, 9229, 2362, 17685, 11, 4869, 1070, 527, 264, 8205, 315, 19433, 323, 34625, 11709, 11, 6593, 16346, 323, 1023, 2890, 4787, 430, 649, 5536, 3508, 477, 539, 584, 3207, 7231, 1057, 13162, 1148, 433, 3966, 311, 2567, 1057, 25896, 3831, 323, 9498, 627, 39314, 11, 1505, 264, 1396, 315, 47735, 5070, 9, 311, 1520, 8641, 499, 323, 701, 3070, 9017, 23669, 17685, 2890, 11, 902, 649, 387, 25819, 1317, 1306, 5165, 507, 5455, 89766, 10934, 19961, 45537, 627, 32, 1695, 2035, 311, 8895, 264, 2731, 8830, 315, 507, 5455, 89766, 10934, 374, 449, 578, 5165, 507, 5455, 89766, 10934, 5114, 320, 9173, 37, 1237, 459, 7471, 430, 706, 1027, 12514, 311, 279, 17985, 323, 27344, 315, 279, 8624, 369, 810, 1109, 220, 966, 1667, 13, 5782, 37, 6209, 264, 12205, 315, 6677, 389, 27252, 17685, 78332, 11, 2737, 512, 12, 14967, 52368, 89766, 10934, 13363, 198, 12, 3639, 311, 8343, 369, 23669, 17685, 2890, 198, 12, 91554, 832, 649, 656, 15870, 311, 20259, 25896, 198, 12, 2650, 311, 19570, 449, 701, 28378, 922, 17685, 2890, 323, 507, 5455, 89766, 10934, 10742, 198, 50674, 11, 369, 13016, 315, 420, 5117, 1772, 889, 1541, 1431, 3686, 1440, 1790, 922, 3400, 13737, 57, 320, 9210, 753, 603, 49743, 584, 527, 264, 35719, 323, 28170, 423, 17138, 22822, 430, 649, 1862, 701, 35719, 3966, 13, 5659, 264, 34625, 13356, 11, 499, 1253, 1505, 1057, 3293, 8158, 555, 1057, 26677, 380, 72716, 54658, 11190, 13, 2435, 2997, 512, 12, 578, 12939, 315, 35719, 304, 6980, 320, 32158, 1524, 5825, 264, 10585, 22658, 11113, 648, 11363, 311, 1456, 340, 12, 578, 1948, 2307, 96420, 3278, 927, 220, 1135, 1288, 387, 12459, 320, 16564, 55575, 11, 902, 374, 459, 9250, 2592, 315, 35719, 340, 12, 6401, 15174, 369, 16643, 25896, 11, 810, 4907, 323, 2731, 6212, 198, 1966, 264, 4528, 5296, 11, 52368, 89766, 10934, 4536, 1431, 1120, 264, 4747, 369, 9191, 3278, 719, 369, 97743, 439, 1664, 13, 763, 420, 1772, 11, 1373, 389, 311, 4048, 922, 3339, 35719, 1054, 451, 981, 1220, 863, 1603, 279, 4325, 315, 220, 966, 374, 4528, 311, 3339, 5912, 22538, 311, 264, 19523, 2759, 627, 6869, 5079, 323, 23579, 1288, 1101, 387, 8010, 430, 814, 1253, 387, 520, 5326, 369, 11469, 507, 5455, 89766, 10934, 11, 439, 35719, 649, 387, 5675, 1555, 28566, 11, 5423, 422, 264, 4967, 14348, 374, 1317, 323, 47999, 320, 4908, 20646, 369, 264, 45796, 570, 763, 420, 1162, 11, 1817, 704, 420, 1772, 369, 279, 1948, 2307, 96420, 311, 33435, 1139, 15496, 9293, 1418, 4967, 627, 47, 40381, 519, 323, 5255, 28456, 30, 7557, 2771, 499, 3207, 3794, 3403, 35719, 369, 279, 4553, 3070, 13, 1115, 1772, 8779, 311, 10552, 627, 9, 791, 3400, 13737, 57, 2128, 2744, 40912, 31831, 701, 28378, 449, 904, 2890, 4860, 13, 128001, -100, 6626, 3131, 271, 1085, 330, 9790, 870, 1875, 1085, 366, 17717, 1363, 1058, 4076, 9790, 551, 586, 16783, 341, 898, 512, 22002, 9790, 5305, 487, 928, 836, 8, 551, 97650, 3232, 8, 10294, 6878, 487, 928, 20917, 368, 314, 471, 97650, 26, 557, 9752, 742, 1194, 5305, 487, 7772, 5, 704, 8, 738, 2882, 314, 704, 1134, 97650, 26, 557, 2039, 512, 6878, 487, 928, 97650, 280, 2368, 5399, 1487, 487, 6228, 4446, 27, 678, 9790, 29, 4076, 9790, 4695, 280, 128001, -100, 791, 50120, 328, 9491, 48338, 902, 21501, 279, 328, 9491, 6725, 304, 682, 56043, 315, 8013, 6890, 574, 5946, 389, 6790, 220, 19, 11, 220, 10828, 24, 555, 279, 1243, 24245, 59082, 10425, 12656, 41614, 258, 377, 627, 791, 19812, 7633, 279, 6725, 315, 328, 9491, 439, 5891, 337, 1303, 311, 279, 16024, 315, 3823, 7138, 627, 15546, 374, 264, 328, 9491, 323, 1148, 374, 328, 9491, 2587, 5380, 50, 9491, 11, 1101, 68918, 439, 328, 332, 6684, 11, 374, 264, 6725, 4315, 36142, 10977, 1405, 264, 6051, 9923, 13111, 5333, 11, 3060, 54523, 477, 555, 5457, 11, 4998, 337, 988, 11937, 389, 1077, 43720, 10177, 596, 4611, 265, 627, 791, 5333, 889, 4998, 337, 988, 11937, 374, 11, 16472, 11, 2663, 264, 328, 9491, 902, 374, 1101, 33398, 439, 264, 364, 331, 5642, 5333, 6, 477, 264, 364, 19045, 323, 29329, 7555, 24482, 3947, 617, 1027, 1690, 13422, 315, 1268, 279, 9923, 4336, 1051, 559, 39090, 304, 6890, 323, 9093, 11, 279, 1193, 6425, 369, 264, 2324, 2085, 10177, 574, 311, 6725, 328, 9491, 439, 433, 574, 6646, 311, 387, 279, 8592, 7645, 315, 289, 333, 989, 56357, 311, 264, 5710, 10177, 627, 8538, 32415, 22015, 13363, 389, 279, 328, 9491, 6725, 512, 84152, 304, 3331, 33025, 323, 9303, 23298, 30, 9369, 1618, 311, 4822, 16369, 323, 1440, 1148, 374, 12765, 2212, 279, 1917, 449, 1057, 480, 11606, 13, 323, 9303, 23298, 3857, 128001, -100, 2118, 34748, 63210, 2643, 387, 16075, 304, 279, 3451, 2031, 82, 11, 719, 814, 1304, 433, 5222, 1093, 279, 1888, 2035, 389, 9578, 2476, 6267, 9538, 11244, 969, 11, 34988, 279, 7200, 753, 220, 1049, 21, 8176, 578, 70544, 315, 13000, 33512, 276, 700, 13, 423, 1923, 7833, 13, 1628, 912, 5609, 389, 279, 8176, 5334, 757, 311, 430, 2035, 10819, 1109, 279, 58367, 59831, 1054, 75120, 73872, 2476, 21682, 832, 315, 279, 1888, 11936, 315, 279, 220, 1049, 15, 82, 555, 46048, 14637, 13, 578, 10043, 22253, 1584, 323, 55063, 11, 8537, 44353, 18249, 552, 1304, 420, 2294, 5754, 4731, 11, 719, 433, 753, 1101, 264, 4832, 2503, 29883, 53246, 25520, 74, 9976, 12, 13295, 26306, 13, 358, 1541, 1431, 1440, 1148, 279, 5609, 753, 220, 777, 339, 34457, 6606, 8511, 388, 1047, 304, 4059, 994, 814, 1051, 4857, 1884, 15316, 505, 76396, 323, 9998, 11, 719, 358, 3021, 430, 358, 649, 21818, 389, 264, 6857, 315, 44101, 323, 733, 1070, 904, 13658, 358, 7070, 1093, 627, 29923, 311, 7079, 264, 3839, 30, 8463, 24748, 31, 1820, 60435, 8322, 916, 13, 128001 ]
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183 ]
[ 128000, 99146, 3083, 64812, 2864, 1600, 25, 64264, 40935, 12054, 7834, 15317, 45188, 320, 630, 278, 323, 42887, 1288, 387, 7060, 570, 8876, 433, 596, 369, 264, 3995, 8334, 11, 4587, 58608, 505, 1940, 6802, 1291, 45188, 1093, 60468, 88429, 627, 791, 220, 14408, 267, 18288, 30343, 99586, 706, 1027, 18719, 439, 1664, 627, 26629, 4622, 6969, 5330, 1753, 70732, 25, 5885, 649, 2349, 304, 279, 3544, 2800, 9949, 477, 304, 879, 19672, 13, 2052, 15447, 690, 387, 21676, 27528, 627, 47, 9272, 1753, 25, 1226, 617, 264, 1949, 2763, 323, 1070, 374, 1949, 389, 10826, 5594, 3829, 13217, 627, 12739, 2599, 30626, 4925, 35270, 370, 388, 449, 42742, 323, 1529, 14533, 527, 10788, 627, 60960, 20255, 29015, 7354, 9503, 1753, 25, 40155, 1555, 279, 24925, 323, 15206, 279, 2911, 13, 25531, 9364, 4529, 11, 8996, 499, 14614, 656, 627, 1846, 10193, 984, 45613, 25, 7199, 1974, 374, 264, 2536, 28926, 16730, 315, 16457, 323, 584, 527, 20256, 264, 7834, 15317, 15553, 4717, 369, 264, 220, 24, 1060, 2362, 8334, 13, 1226, 2231, 389, 879, 4455, 311, 2343, 369, 279, 7677, 315, 1057, 2536, 28926, 24925, 13, 1102, 374, 459, 30619, 10182, 14400, 12764, 13, 1226, 1053, 3021, 5885, 311, 2586, 439, 16136, 449, 15051, 11, 323, 814, 527, 1101, 10788, 311, 2586, 6931, 304, 279, 1938, 323, 4822, 3156, 220, 24, 5298, 22128, 682, 430, 7199, 1974, 706, 311, 3085, 320, 66, 1923, 4023, 3953, 11, 9160, 4047, 12933, 11, 5099, 36434, 25531, 1070, 6931, 320, 1962, 304, 32519, 8, 6276, 810, 892, 311, 1514, 3953, 323, 617, 2523, 13, 9843, 814, 617, 1903, 459, 11341, 11, 814, 649, 1101, 21818, 704, 315, 32519, 323, 4822, 323, 1514, 1063, 810, 4999, 55172, 12, 77283, 5321, 1160, 279, 32519, 499, 1053, 1093, 311, 10051, 13, 6914, 596, 656, 1057, 1888, 311, 5766, 43428, 315, 3682, 3663, 5885, 422, 584, 649, 627, 40, 1436, 733, 439, 459, 1630, 29480, 18178, 323, 1296, 704, 856, 11041, 384, 7761, 49349, 1603, 27205, 444, 9522, 24220, 11, 358, 1205, 311, 3137, 311, 856, 10177, 719, 358, 4265, 1093, 311, 1456, 311, 656, 420, 1567, 13, 14998, 311, 636, 813, 10619, 3582, 627, 40, 3077, 2231, 7182, 1523, 439, 76220, 320, 36887, 41495, 8, 304, 1162, 856, 6787, 4498, 1555, 420, 9178, 13, 21883, 374, 1148, 358, 3288, 311, 279, 1912, 4669, 2613, 35047, 2746, 904, 315, 499, 649, 990, 420, 1567, 499, 690, 387, 19883, 264, 1695, 892, 13, 578, 6506, 11, 12131, 350, 1983, 11, 374, 2216, 7155, 323, 499, 649, 636, 5675, 304, 5737, 3953, 323, 3411, 520, 50829, 6957, 279, 16730, 1975, 66876, 315, 2523, 2574, 311, 656, 520, 420, 2035, 13, 1102, 596, 1093, 1694, 520, 264, 6762, 11, 719, 55154, 13, 1628, 568, 596, 2751, 1063, 2216, 7155, 7834, 15317, 9160, 4047, 323, 2835, 3953, 2288, 627, 791, 40983, 527, 33236, 323, 4335, 439, 1664, 439, 279, 12764, 323, 814, 617, 264, 2539, 9979, 13, 2435, 617, 264, 2678, 13217, 2763, 304, 279, 1203, 323, 11510, 315, 8761, 13217, 389, 279, 3185, 320, 275, 596, 1523, 505, 4072, 356, 618, 6491, 426, 3065, 8216, 570, 7429, 11, 2533, 420, 374, 264, 10585, 596, 4717, 11, 499, 4762, 690, 387, 12020, 311, 3691, 323, 47497, 11, 28858, 1694, 12020, 1093, 53817, 320, 42315, 5097, 2512, 315, 813, 23872, 3001, 4390, 40, 11, 26907, 11, 2834, 956, 387, 2212, 420, 9178, 11, 6062, 358, 1053, 990, 420, 1567, 627, 12947, 369, 279, 3428, 1523, 17582, 323, 279, 45880, 4999, 644, 279, 3938, 11, 422, 499, 8464, 5606, 311, 48596, 1131, 7344, 3708, 1124, 311, 279, 4060, 269, 5464, 3729, 2199, 3566, 2816, 477, 3041, 1124, 856, 384, 11724, 2686, 13, 7570, 1393, 91, 37004, 20739, 8651, 91, 358, 2846, 539, 2771, 1148, 596, 5076, 449, 279, 64264, 40935, 1567, 1715, 1376, 13, 358, 3077, 13942, 220, 18, 7540, 430, 358, 2846, 8010, 315, 420, 1060, 1131, 1541, 956, 1440, 1148, 775, 1436, 617, 43578, 1555, 279, 45963, 627, 39470, 8469, 315, 499, 389, 430, 832, 856, 93111, 7808, 13, 358, 3077, 26160, 12131, 922, 279, 3729, 2199, 477, 568, 649, 3729, 757, 323, 358, 3358, 8464, 1461, 311, 279, 1314, 19015, 369, 3938, 4455, 627, 12988, 15317, 1274, 649, 1501, 709, 904, 892, 6041, 520, 220, 19, 25, 966, 323, 439, 3389, 439, 220, 22, 25, 966, 5975, 13, 578, 6931, 814, 17782, 11, 279, 810, 2523, 814, 649, 617, 4999, 2028, 374, 369, 264, 3070, 11, 779, 358, 15562, 48777, 45188, 2643, 4128, 1063, 6666, 627, 1687, 617, 2800, 9949, 323, 879, 19672, 1405, 1274, 649, 2349, 323, 15447, 690, 387, 6220, 13, 3658, 13217, 374, 2561, 304, 1057, 2763, 477, 389, 279, 8761, 627, 1687, 690, 3493, 3691, 11, 323, 7834, 15317, 1274, 649, 3094, 704, 315, 872, 45188, 323, 4822, 323, 1514, 627, 2727, 2288, 11, 76220, 430, 374, 627, 2746, 1023, 1274, 649, 733, 11, 358, 3358, 733, 439, 1556, 43330, 627, 40, 2846, 23803, 311, 9604, 279, 1567, 13, 4800, 311, 1518, 422, 358, 649, 3604, 636, 6941, 311, 9604, 449, 757, 323, 296, 33746, 50891, 35163, 10051, 813, 21296, 36223, 64789, 30, 55964, 83, 1285, 11, 719, 358, 2846, 3318, 389, 433, 1442, 539, 11, 813, 4814, 13, 1226, 3358, 617, 2523, 5737, 3953, 323, 4737, 9364, 449, 279, 6980, 627, 40, 2846, 21686, 279, 1176, 1772, 449, 682, 279, 3630, 358, 2751, 505, 17582, 323, 279, 44818, 358, 3077, 1047, 449, 12131, 520, 7199, 1974, 13, 11361, 779, 1790, 17582, 369, 279, 45880, 13, 358, 2846, 16089, 814, 42541, 3640, 757, 449, 459, 384, 11724, 2533, 1070, 574, 264, 71766, 709, 449, 1057, 1567, 1715, 1376, 13, 38994, 433, 690, 387, 11113, 51129, 369, 279, 2800, 315, 279, 1060, 1457, 627, 2170, 5246, 439, 1063, 315, 499, 76220, 15687, 1440, 422, 499, 527, 264, 733, 477, 539, 1095, 757, 1440, 13, 7429, 1095, 757, 1440, 422, 499, 527, 539, 3025, 311, 387, 1070, 555, 220, 19, 25, 966, 323, 422, 539, 11, 1148, 892, 499, 649, 387, 1070, 13, 1226, 1541, 956, 1390, 311, 636, 704, 315, 1057, 45188, 1603, 904, 3389, 470, 388, 17782, 11, 2533, 584, 1051, 3309, 430, 1306, 1057, 1912, 3727, 459, 11341, 584, 649, 2231, 389, 18969, 85, 552, 323, 1514, 3953, 627, 36, 68, 752, 0, 3861, 810, 4062, 2713, 389, 279, 892, 2754, 8972, 13, 358, 1550, 1063, 2389, 14782, 449, 76249, 520, 279, 480, 23050, 13, 11205, 1912, 374, 3339, 459, 4033, 26435, 11341, 892, 520, 220, 20, 25, 966, 12, 21, 25, 410, 13, 1442, 1063, 315, 1124, 1390, 311, 4822, 26435, 5129, 433, 374, 709, 311, 1124, 11, 719, 1306, 264, 4376, 6596, 872, 29672, 374, 927, 627, 3112, 1274, 649, 17782, 6931, 1109, 220, 19, 25, 966, 422, 814, 1390, 311, 1514, 3953, 304, 8761, 15447, 13, 2030, 584, 2834, 956, 387, 1701, 279, 19672, 311, 8679, 709, 3156, 220, 19, 25, 966, 627, 4516, 1120, 523, 547, 304, 449, 279, 892, 4124, 499, 682, 3197, 311, 636, 1070, 13, 358, 2846, 539, 2771, 3686, 422, 358, 4265, 17782, 6931, 1109, 220, 19, 25, 966, 11, 1436, 6904, 422, 856, 10177, 6944, 311, 5249, 757, 477, 539, 13, 4946, 1440, 304, 264, 2478, 2919, 627, 40, 3358, 387, 709, 1070, 304, 856, 11266, 13, 220, 17, 29013, 627, 12947, 17582, 13, 358, 574, 3025, 311, 1817, 304, 389, 1057, 1567, 1715, 1376, 6671, 323, 358, 1781, 584, 2751, 433, 20250, 13, 2030, 22371, 11, 264, 810, 2167, 1648, 311, 636, 279, 4455, 311, 757, 374, 311, 617, 1124, 384, 11724, 757, 1555, 279, 842, 269, 2385, 3566, 2816, 13, 36625, 369, 892, 16614, 6392, 1606, 7170, 1070, 649, 387, 264, 22171, 304, 279, 892, 433, 5097, 369, 279, 1376, 1618, 311, 636, 15590, 323, 53346, 311, 279, 4495, 2385, 13, 18156, 912, 22171, 11, 1120, 14117, 13, 7648, 315, 279, 892, 279, 1376, 4375, 627, 5451, 1772, 19685, 449, 3729, 2038, 369, 7199, 1974, 994, 584, 17782, 627, 2746, 499, 7752, 636, 1070, 4216, 11, 2610, 12131, 311, 3041, 499, 459, 364, 359, 33912, 6, 7364, 315, 279, 2035, 320, 9210, 3445, 2875, 7364, 13, 578, 4113, 7364, 5097, 927, 459, 6596, 505, 1148, 358, 6227, 4390, 1548, 3358, 3371, 499, 7493, 323, 3925, 315, 7199, 1974, 29883, 10826, 12, 3513, 613, 323, 328, 332, 2221, 19710, 4783, 320, 2203, 6427, 7801, 8, 902, 1051, 2466, 39591, 311, 279, 586, 2391, 279, 220, 5926, 15, 596, 311, 220, 1272, 596, 304, 5960, 13175, 11, 358, 1781, 13, 42669, 11, 433, 690, 3041, 499, 63237, 65822, 323, 1304, 499, 2733, 53833, 43535, 4871, 520, 279, 1890, 892, 13, 12623, 1070, 596, 1120, 1063, 2216, 7155, 36136, 311, 1427, 520, 11, 2737, 4113, 16795, 6667, 1260, 3673, 13, 40224, 701, 18632, 51447, 13699, 11, 7199, 1974, 12, 2688, 29883, 10826, 12, 3513, 613, 374, 264, 2536, 28926, 7471, 323, 12131, 706, 264, 26202, 990, 2068, 369, 49246, 6801, 11975, 2512, 2911, 13, 1102, 596, 264, 2523, 2035, 430, 6835, 1203, 311, 279, 4029, 304, 264, 1633, 1695, 1648, 627, 42315, 706, 1120, 3940, 311, 13488, 279, 7834, 15317, 1917, 11, 387, 22443, 449, 1461, 320, 1623, 43, 40125, 4345, 56825, 1131, 383, 596, 2751, 264, 2294, 5647, 315, 28485, 323, 374, 1633, 3169, 13, 5414, 6548, 13318, 709, 1093, 264, 4027, 1589, 9881, 994, 358, 3309, 1461, 358, 32519, 369, 7834, 15317, 323, 430, 358, 1047, 19015, 4669, 279, 64264, 40935, 323, 220, 14408, 267, 627, 2173, 3388, 14992, 6980, 690, 539, 1390, 311, 2503, 323, 8343, 994, 3953, 527, 1120, 264, 2478, 7504, 3201, 13, 7648, 5315, 2187, 279, 6980, 311, 28699, 3059, 323, 471, 311, 279, 3691, 439, 814, 636, 30056, 13, 70596, 531, 320, 48484, 323, 10054, 12932, 8, 374, 6118, 4694, 369, 3010, 627, 38904, 82, 527, 12020, 311, 264, 3974, 1501, 16850, 1063, 315, 17355, 7188, 753, 1455, 23944, 4983, 9818, 13, 2468, 279, 842, 315, 279, 1501, 279, 26526, 315, 279, 58248, 27690, 527, 7376, 627, 2181, 753, 19692, 323, 10054, 12932, 892, 13, 62682, 1243, 1797, 872, 3585, 323, 2010, 1203, 311, 279, 94496, 3158, 311, 3820, 704, 872, 38508, 627, 27831, 420, 374, 264, 879, 4717, 11, 358, 4344, 2771, 279, 4717, 3552, 57358, 701, 3697, 311, 2586, 323, 1514, 3953, 449, 1124, 2737, 872, 8689, 13, 5321, 1095, 757, 1440, 422, 499, 617, 904, 5217, 4860, 13, 11361, 4999, 128001 ]
[ -100, 99146, 3083, 64812, 2864, 1600, 25, 64264, 40935, 12054, 7834, 15317, 45188, 320, 630, 278, 323, 42887, 1288, 387, 7060, 570, 8876, 433, 596, 369, 264, 3995, 8334, 11, 4587, 58608, 505, 1940, 6802, 1291, 45188, 1093, 60468, 88429, 627, 791, 220, 14408, 267, 18288, 30343, 99586, 706, 1027, 18719, 439, 1664, 627, 26629, 4622, 6969, 5330, 1753, 70732, 25, 5885, 649, 2349, 304, 279, 3544, 2800, 9949, 477, 304, 879, 19672, 13, 2052, 15447, 690, 387, 21676, 27528, 627, 47, 9272, 1753, 25, 1226, 617, 264, 1949, 2763, 323, 1070, 374, 1949, 389, 10826, 5594, 3829, 13217, 627, 12739, 2599, 30626, 4925, 35270, 370, 388, 449, 42742, 323, 1529, 14533, 527, 10788, 627, 60960, 20255, 29015, 7354, 9503, 1753, 25, 40155, 1555, 279, 24925, 323, 15206, 279, 2911, 13, 25531, 9364, 4529, 11, 8996, 499, 14614, 656, 627, 1846, 10193, 984, 45613, 25, 7199, 1974, 374, 264, 2536, 28926, 16730, 315, 16457, 323, 584, 527, 20256, 264, 7834, 15317, 15553, 4717, 369, 264, 220, 24, 1060, 2362, 8334, 13, 1226, 2231, 389, 879, 4455, 311, 2343, 369, 279, 7677, 315, 1057, 2536, 28926, 24925, 13, 1102, 374, 459, 30619, 10182, 14400, 12764, 13, 1226, 1053, 3021, 5885, 311, 2586, 439, 16136, 449, 15051, 11, 323, 814, 527, 1101, 10788, 311, 2586, 6931, 304, 279, 1938, 323, 4822, 3156, 220, 24, 5298, 22128, 682, 430, 7199, 1974, 706, 311, 3085, 320, 66, 1923, 4023, 3953, 11, 9160, 4047, 12933, 11, 5099, 36434, 25531, 1070, 6931, 320, 1962, 304, 32519, 8, 6276, 810, 892, 311, 1514, 3953, 323, 617, 2523, 13, 9843, 814, 617, 1903, 459, 11341, 11, 814, 649, 1101, 21818, 704, 315, 32519, 323, 4822, 323, 1514, 1063, 810, 4999, 55172, 12, 77283, 5321, 1160, 279, 32519, 499, 1053, 1093, 311, 10051, 13, 6914, 596, 656, 1057, 1888, 311, 5766, 43428, 315, 3682, 3663, 5885, 422, 584, 649, 627, 40, 1436, 733, 439, 459, 1630, 29480, 18178, 323, 1296, 704, 856, 11041, 384, 7761, 49349, 1603, 27205, 444, 9522, 24220, 11, 358, 1205, 311, 3137, 311, 856, 10177, 719, 358, 4265, 1093, 311, 1456, 311, 656, 420, 1567, 13, 14998, 311, 636, 813, 10619, 3582, 627, 40, 3077, 2231, 7182, 1523, 439, 76220, 320, 36887, 41495, 8, 304, 1162, 856, 6787, 4498, 1555, 420, 9178, 13, 21883, 374, 1148, 358, 3288, 311, 279, 1912, 4669, 2613, 35047, 2746, 904, 315, 499, 649, 990, 420, 1567, 499, 690, 387, 19883, 264, 1695, 892, 13, 578, 6506, 11, 12131, 350, 1983, 11, 374, 2216, 7155, 323, 499, 649, 636, 5675, 304, 5737, 3953, 323, 3411, 520, 50829, 6957, 279, 16730, 1975, 66876, 315, 2523, 2574, 311, 656, 520, 420, 2035, 13, 1102, 596, 1093, 1694, 520, 264, 6762, 11, 719, 55154, 13, 1628, 568, 596, 2751, 1063, 2216, 7155, 7834, 15317, 9160, 4047, 323, 2835, 3953, 2288, 627, 791, 40983, 527, 33236, 323, 4335, 439, 1664, 439, 279, 12764, 323, 814, 617, 264, 2539, 9979, 13, 2435, 617, 264, 2678, 13217, 2763, 304, 279, 1203, 323, 11510, 315, 8761, 13217, 389, 279, 3185, 320, 275, 596, 1523, 505, 4072, 356, 618, 6491, 426, 3065, 8216, 570, 7429, 11, 2533, 420, 374, 264, 10585, 596, 4717, 11, 499, 4762, 690, 387, 12020, 311, 3691, 323, 47497, 11, 28858, 1694, 12020, 1093, 53817, 320, 42315, 5097, 2512, 315, 813, 23872, 3001, 4390, 40, 11, 26907, 11, 2834, 956, 387, 2212, 420, 9178, 11, 6062, 358, 1053, 990, 420, 1567, 627, 12947, 369, 279, 3428, 1523, 17582, 323, 279, 45880, 4999, 644, 279, 3938, 11, 422, 499, 8464, 5606, 311, 48596, 1131, 7344, 3708, 1124, 311, 279, 4060, 269, 5464, 3729, 2199, 3566, 2816, 477, 3041, 1124, 856, 384, 11724, 2686, 13, 7570, 1393, 91, 37004, 20739, 8651, 91, 358, 2846, 539, 2771, 1148, 596, 5076, 449, 279, 64264, 40935, 1567, 1715, 1376, 13, 358, 3077, 13942, 220, 18, 7540, 430, 358, 2846, 8010, 315, 420, 1060, 1131, 1541, 956, 1440, 1148, 775, 1436, 617, 43578, 1555, 279, 45963, 627, 39470, 8469, 315, 499, 389, 430, 832, 856, 93111, 7808, 13, 358, 3077, 26160, 12131, 922, 279, 3729, 2199, 477, 568, 649, 3729, 757, 323, 358, 3358, 8464, 1461, 311, 279, 1314, 19015, 369, 3938, 4455, 627, 12988, 15317, 1274, 649, 1501, 709, 904, 892, 6041, 520, 220, 19, 25, 966, 323, 439, 3389, 439, 220, 22, 25, 966, 5975, 13, 578, 6931, 814, 17782, 11, 279, 810, 2523, 814, 649, 617, 4999, 2028, 374, 369, 264, 3070, 11, 779, 358, 15562, 48777, 45188, 2643, 4128, 1063, 6666, 627, 1687, 617, 2800, 9949, 323, 879, 19672, 1405, 1274, 649, 2349, 323, 15447, 690, 387, 6220, 13, 3658, 13217, 374, 2561, 304, 1057, 2763, 477, 389, 279, 8761, 627, 1687, 690, 3493, 3691, 11, 323, 7834, 15317, 1274, 649, 3094, 704, 315, 872, 45188, 323, 4822, 323, 1514, 627, 2727, 2288, 11, 76220, 430, 374, 627, 2746, 1023, 1274, 649, 733, 11, 358, 3358, 733, 439, 1556, 43330, 627, 40, 2846, 23803, 311, 9604, 279, 1567, 13, 4800, 311, 1518, 422, 358, 649, 3604, 636, 6941, 311, 9604, 449, 757, 323, 296, 33746, 50891, 35163, 10051, 813, 21296, 36223, 64789, 30, 55964, 83, 1285, 11, 719, 358, 2846, 3318, 389, 433, 1442, 539, 11, 813, 4814, 13, 1226, 3358, 617, 2523, 5737, 3953, 323, 4737, 9364, 449, 279, 6980, 627, 40, 2846, 21686, 279, 1176, 1772, 449, 682, 279, 3630, 358, 2751, 505, 17582, 323, 279, 44818, 358, 3077, 1047, 449, 12131, 520, 7199, 1974, 13, 11361, 779, 1790, 17582, 369, 279, 45880, 13, 358, 2846, 16089, 814, 42541, 3640, 757, 449, 459, 384, 11724, 2533, 1070, 574, 264, 71766, 709, 449, 1057, 1567, 1715, 1376, 13, 38994, 433, 690, 387, 11113, 51129, 369, 279, 2800, 315, 279, 1060, 1457, 627, 2170, 5246, 439, 1063, 315, 499, 76220, 15687, 1440, 422, 499, 527, 264, 733, 477, 539, 1095, 757, 1440, 13, 7429, 1095, 757, 1440, 422, 499, 527, 539, 3025, 311, 387, 1070, 555, 220, 19, 25, 966, 323, 422, 539, 11, 1148, 892, 499, 649, 387, 1070, 13, 1226, 1541, 956, 1390, 311, 636, 704, 315, 1057, 45188, 1603, 904, 3389, 470, 388, 17782, 11, 2533, 584, 1051, 3309, 430, 1306, 1057, 1912, 3727, 459, 11341, 584, 649, 2231, 389, 18969, 85, 552, 323, 1514, 3953, 627, 36, 68, 752, 0, 3861, 810, 4062, 2713, 389, 279, 892, 2754, 8972, 13, 358, 1550, 1063, 2389, 14782, 449, 76249, 520, 279, 480, 23050, 13, 11205, 1912, 374, 3339, 459, 4033, 26435, 11341, 892, 520, 220, 20, 25, 966, 12, 21, 25, 410, 13, 1442, 1063, 315, 1124, 1390, 311, 4822, 26435, 5129, 433, 374, 709, 311, 1124, 11, 719, 1306, 264, 4376, 6596, 872, 29672, 374, 927, 627, 3112, 1274, 649, 17782, 6931, 1109, 220, 19, 25, 966, 422, 814, 1390, 311, 1514, 3953, 304, 8761, 15447, 13, 2030, 584, 2834, 956, 387, 1701, 279, 19672, 311, 8679, 709, 3156, 220, 19, 25, 966, 627, 4516, 1120, 523, 547, 304, 449, 279, 892, 4124, 499, 682, 3197, 311, 636, 1070, 13, 358, 2846, 539, 2771, 3686, 422, 358, 4265, 17782, 6931, 1109, 220, 19, 25, 966, 11, 1436, 6904, 422, 856, 10177, 6944, 311, 5249, 757, 477, 539, 13, 4946, 1440, 304, 264, 2478, 2919, 627, 40, 3358, 387, 709, 1070, 304, 856, 11266, 13, 220, 17, 29013, 627, 12947, 17582, 13, 358, 574, 3025, 311, 1817, 304, 389, 1057, 1567, 1715, 1376, 6671, 323, 358, 1781, 584, 2751, 433, 20250, 13, 2030, 22371, 11, 264, 810, 2167, 1648, 311, 636, 279, 4455, 311, 757, 374, 311, 617, 1124, 384, 11724, 757, 1555, 279, 842, 269, 2385, 3566, 2816, 13, 36625, 369, 892, 16614, 6392, 1606, 7170, 1070, 649, 387, 264, 22171, 304, 279, 892, 433, 5097, 369, 279, 1376, 1618, 311, 636, 15590, 323, 53346, 311, 279, 4495, 2385, 13, 18156, 912, 22171, 11, 1120, 14117, 13, 7648, 315, 279, 892, 279, 1376, 4375, 627, 5451, 1772, 19685, 449, 3729, 2038, 369, 7199, 1974, 994, 584, 17782, 627, 2746, 499, 7752, 636, 1070, 4216, 11, 2610, 12131, 311, 3041, 499, 459, 364, 359, 33912, 6, 7364, 315, 279, 2035, 320, 9210, 3445, 2875, 7364, 13, 578, 4113, 7364, 5097, 927, 459, 6596, 505, 1148, 358, 6227, 4390, 1548, 3358, 3371, 499, 7493, 323, 3925, 315, 7199, 1974, 29883, 10826, 12, 3513, 613, 323, 328, 332, 2221, 19710, 4783, 320, 2203, 6427, 7801, 8, 902, 1051, 2466, 39591, 311, 279, 586, 2391, 279, 220, 5926, 15, 596, 311, 220, 1272, 596, 304, 5960, 13175, 11, 358, 1781, 13, 42669, 11, 433, 690, 3041, 499, 63237, 65822, 323, 1304, 499, 2733, 53833, 43535, 4871, 520, 279, 1890, 892, 13, 12623, 1070, 596, 1120, 1063, 2216, 7155, 36136, 311, 1427, 520, 11, 2737, 4113, 16795, 6667, 1260, 3673, 13, 40224, 701, 18632, 51447, 13699, 11, 7199, 1974, 12, 2688, 29883, 10826, 12, 3513, 613, 374, 264, 2536, 28926, 7471, 323, 12131, 706, 264, 26202, 990, 2068, 369, 49246, 6801, 11975, 2512, 2911, 13, 1102, 596, 264, 2523, 2035, 430, 6835, 1203, 311, 279, 4029, 304, 264, 1633, 1695, 1648, 627, 42315, 706, 1120, 3940, 311, 13488, 279, 7834, 15317, 1917, 11, 387, 22443, 449, 1461, 320, 1623, 43, 40125, 4345, 56825, 1131, 383, 596, 2751, 264, 2294, 5647, 315, 28485, 323, 374, 1633, 3169, 13, 5414, 6548, 13318, 709, 1093, 264, 4027, 1589, 9881, 994, 358, 3309, 1461, 358, 32519, 369, 7834, 15317, 323, 430, 358, 1047, 19015, 4669, 279, 64264, 40935, 323, 220, 14408, 267, 627, 2173, 3388, 14992, 6980, 690, 539, 1390, 311, 2503, 323, 8343, 994, 3953, 527, 1120, 264, 2478, 7504, 3201, 13, 7648, 5315, 2187, 279, 6980, 311, 28699, 3059, 323, 471, 311, 279, 3691, 439, 814, 636, 30056, 13, 70596, 531, 320, 48484, 323, 10054, 12932, 8, 374, 6118, 4694, 369, 3010, 627, 38904, 82, 527, 12020, 311, 264, 3974, 1501, 16850, 1063, 315, 17355, 7188, 753, 1455, 23944, 4983, 9818, 13, 2468, 279, 842, 315, 279, 1501, 279, 26526, 315, 279, 58248, 27690, 527, 7376, 627, 2181, 753, 19692, 323, 10054, 12932, 892, 13, 62682, 1243, 1797, 872, 3585, 323, 2010, 1203, 311, 279, 94496, 3158, 311, 3820, 704, 872, 38508, 627, 27831, 420, 374, 264, 879, 4717, 11, 358, 4344, 2771, 279, 4717, 3552, 57358, 701, 3697, 311, 2586, 323, 1514, 3953, 449, 1124, 2737, 872, 8689, 13, 5321, 1095, 757, 1440, 422, 499, 617, 904, 5217, 4860, 13, 11361, 4999, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713 ]